Adding upstream version 16.2.11+ds.upstream/16.2.11+dsupstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

705 files changed, 224214 insertions, 0 deletions

diff --git a/src/boost/libs/math/test/Jamfile.v2 b/src/boost/libs/math/test/Jamfile.v2
new file mode 100644
index 000000000..2d99c1f75
--- /dev/null
+++ b/src/boost/libs/math/test/Jamfile.v2
@@ -0,0 +1,1372 @@
+# Copyright Daryle Walker, Hubert Holin, John Maddock 2006 - 2007
+# copyright Paul A. Bristow 2006 - 2010
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt.
+# \math_toolkit\libs\math\test\jamfile.v2
+# Runs all math toolkit tests, functions & distributions,
+# and build math examples.
+
+# bring in the rules for testing
+import testing ;
+import modules ;
+import path ;
+import pch ;
+import ../../config/checks/config : requires ;
+
+local ntl-path = [ modules.peek : NTL_PATH ] ;
+local gmp_path = [ modules.peek : GMP_PATH ] ;
+local e_float_path = [ modules.peek : E_FLOAT_PATH ] ;
+
+#
+# PCH support is broken when --remove-test-targets is specified on the command
+# line.  Disable it until someone fixes this.
+#
+local remove-test-targets = [ MATCH (--remove-test-targets) : [ modules.peek : ARGV ] ] ;
+
+if $(remove-test-targets)
+{
+   OBJ_REMOVAL_OPTIONS = <pch>off ;
+}
+
+obj no_eh : noeh_support.cpp ;
+
+
+project
+    : requirements
+      $(OBJ_REMOVAL_OPTIONS)
+      <toolset>acc:<cxxflags>+W2068,2461,2236,4070,4069
+      <toolset>intel-win:<cxxflags>-nologo
+      <toolset>intel-win:<linkflags>-nologo
+      #<toolset>intel-linux:<pch>off
+      <toolset>intel-darwin:<pch>off
+      <toolset>msvc:<warnings>all
+      <toolset>msvc:<asynch-exceptions>on
+      <toolset>msvc:<cxxflags>/wd4996
+      <toolset>msvc:<cxxflags>/wd4511 # copy constructor could not be generated
+      <toolset>msvc:<cxxflags>/wd4512
+      <toolset>msvc:<cxxflags>/wd4610
+      <toolset>msvc:<cxxflags>/wd4510
+      <toolset>msvc:<cxxflags>/wd4127
+      <toolset>msvc:<cxxflags>/wd4459
+      <toolset>msvc:<cxxflags>/wd4701 # needed for lexical cast - temporary.
+      <toolset>msvc:<cxxflags>/wd4189 # local variable is initialized but not referenced
+      <toolset>msvc-7.1:<source>../vc71_fix//vc_fix
+      <toolset>msvc-7.1:<pch>off
+      <toolset>clang-6.0.0:<pch>off  # added to see effect.
+      <toolset>gcc,<target-os>windows:<pch>off
+      <toolset>borland:<runtime-link>static
+      # <toolset>msvc:<cxxflags>/wd4506 has no effect?
+      # suppress xstring(237) : warning C4506: no definition for inline function
+      <include>../../..
+      <source>../../regex/build//boost_regex
+      <exception-handling>off:<source>no_eh
+      <link>shared:<define>BOOST_REGEX_DYN_LINK=1
+      # For simplicities sake, make everything a static lib:
+      <link>static
+      <define>BOOST_ALL_NO_LIB=1
+      <define>BOOST_UBLAS_UNSUPPORTED_COMPILER=0
+      <include>.
+      <include>../include_private
+      <include>$(ntl-path)/include
+      <include>$(e_float_path)
+      <include>$(gmp_path) <include>$(gmp_path)/mpfr <include>$(gmp_path)/gmpfrxx <include>$(gmp_path)/mpfrc++
+      <search>$(gmp_path)
+      <search>$(mpfr_path)
+      <search>$(mpfr_path)/build.vc10/lib/Win32/Debug
+    ;
+
+if $(ntl-path)
+{
+   lib ntl : [ GLOB $(ntl-path)/src : *.cpp ] ;
+}
+else
+{
+   lib ntl ;
+}
+
+explicit ntl ;
+
+cpp-pch pch : pch.hpp : <use>../../test/build//boost_unit_test_framework ;
+cpp-pch pch_light : pch_light.hpp : <use>../../test/build//boost_unit_test_framework ;
+lib compile_test_main : compile_test/main.cpp ;
+
+test-suite special_fun :
+   [ run test_1F0.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] ] # hypergeometric_pFq_checked_series.hpp uses auto, the rest are from quadrature tests.
+   [ run test_2F0.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] ]
+
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=1 : test_0F1_1 ]
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 : test_0F1_2 ]
+
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=1 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_integrals ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_float ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_double ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_long_double ]
+
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_float ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_double ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_long_double ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_real_concept ]
+   #  These are slow...
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_float ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_double ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_long_double ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_real_concept ]
+   # pFq:
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_float ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_double ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_long_double ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_real_concept ]
+
+
+   [ run hypot_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ]
+   [ run pow_test.cpp ../../test/build//boost_unit_test_framework ]
+   [ run log1p_expm1_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run powm1_sqrtp1m1_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run special_functions_test.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_airy.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_j.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_y.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_i.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_k.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_j_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_y_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_i_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_k_prime.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_beta.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_bessel_airy_zeros.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_bernoulli_constants.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_binomial_coeff.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST1
+        : test_carlson_1  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST2
+      : test_carlson_2  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST3
+        : test_carlson_3  ]
+   [ run test_carlson.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+        <define>TEST4
+        : test_carlson_4  ]
+   [ run test_cbrt.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_difference.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_digamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_1.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_2.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_3.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ellint_d.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_jacobi_zeta.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_heuman_lambda.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_erf.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_expint.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_factorials.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_gamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_gamma_mp.cpp ../../test/build//boost_unit_test_framework : : : release ]
+   [ run test_hankel.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_hermite.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_ibeta_float  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_double  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_long_double  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept1  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept2  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept3  ]
+   [ run test_ibeta.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=4
+          <toolset>intel:<pch>off
+        : test_ibeta_real_concept4  ]
+
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_float  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_double  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_long_double  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept1  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept2  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept3  ]
+   [ run test_ibeta_derivative.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=4
+          <toolset>intel:<pch>off
+          <toolset>gcc:<cxxflags>-Wno-overflow
+        : test_ibeta_derivative_real_concept4  ]
+
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_float  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_double  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_long_double  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept1  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept2  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept3  ]
+   [ run test_ibeta_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=4
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_real_concept4  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_float  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_double  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_long_double  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_real_concept1  ]
+   [ run test_ibeta_inv_ab.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_real_concept2  ]
+   [ run test_ibeta_inv_ab.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=3
+          <toolset>intel:<pch>off
+        : test_ibeta_inv_ab_real_concept3  ]
+   [ run test_igamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_igamma_inv.cpp test_instances//test_instances pch_light  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_igamma_inv_float  ]
+   [ run test_igamma_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_igamma_inv_double  ]
+   [ run test_igamma_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_igamma_inv_long_double  ]
+   [ run test_igamma_inv.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_igamma_inv_real_concept  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_igamma_inva_float  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_igamma_inva_double  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+      : test_igamma_inva_long_double  ]
+   [ run test_igamma_inva.cpp  test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_igamma_inva_real_concept  ]
+   [ run test_instantiate1.cpp test_instantiate2.cpp  ]
+   [ run test_jacobi.cpp pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_laguerre.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=1  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_1 ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=2  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_2 ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=3  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_3 ]
+   [ run test_lambert_w.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION=4 <define>BOOST_MATH_TEST_FLOAT128 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  : test_lambert_w_multiprecision_4 ]
+   [ run test_lambert_w_integrals_float128.cpp ../../test/build//boost_unit_test_framework : : : release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" : <build>no ] [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_integrals_quad.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] ]
+   [ run test_lambert_w_integrals_long_double.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_integrals_double.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_integrals_float.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ run test_lambert_w_derivative.cpp ../../test/build//boost_unit_test_framework : : : <define>BOOST_MATH_TEST_MULTIPRECISION  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  ]
+
+   [ run test_legendre.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  ]
+   [ run chebyshev_test.cpp  : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" ]  ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3f : : : <define>TEST1 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : chebyshev_transform_test_1 ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3 : : : <define>TEST2 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : chebyshev_transform_test_2 ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3l : : : <define>TEST3 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : chebyshev_transform_test_3 ]
+   [ run chebyshev_transform_test.cpp ../config//fftw3q ../config//quadmath : : : <define>TEST4 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] [ check-target-builds ../config//has_float128 "__float128" : : <build>no ] : chebyshev_transform_test_4 ]
+
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3f : : : <define>TEST1 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : cardinal_trigonometric_test_1 ]
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3 : : : <define>TEST2 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : cardinal_trigonometric_test_2 ]
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3l : : : <define>TEST3 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] : cardinal_trigonometric_test_3 ]
+   [ run cardinal_trigonometric_test.cpp ../config//fftw3q ../config//quadmath : : : <define>TEST4 [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_fftw3 "libfftw3" : : <build>no ] [ check-target-builds ../config//has_float128 "__float128" : : <build>no ] : cardinal_trigonometric_test_4 ]
+
+
+   [ run test_ldouble_simple.cpp ../../test/build//boost_unit_test_framework  ]
+   # Needs to run in release mode, as it's rather slow:
+   [ run test_next.cpp pch ../../test/build//boost_unit_test_framework : : : release  ]
+   [ run test_next_decimal.cpp pch ../../test/build//boost_unit_test_framework : : : release  ]
+   [ run test_owens_t.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_polygamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_trigamma.cpp test_instances//test_instances ../../test/build//boost_unit_test_framework  ]
+   [ run test_round.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_spherical_harmonic.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_sign.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_tgamma_ratio.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_trig.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework  ]
+   [ run test_zeta.cpp ../../test/build//boost_unit_test_framework test_instances//test_instances pch_light  ]
+   [ run test_sinc.cpp ../../test/build//boost_unit_test_framework pch_light ]
+;
+
+test-suite distribution_tests :
+   [ run test_arcsine.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_bernoulli.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_beta_dist.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_binomial_float  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_binomial_double  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_binomial_long_double  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=0
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept0  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=1
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept1  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=2
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept2  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=3
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept3  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=4
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept4  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=5
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept5  ]
+   [ run test_binomial.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_ROUNDING=6
+          <toolset>intel:<pch>off
+        : test_binomial_real_concept6  ]
+   [ run test_cauchy.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_chi_squared.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_dist_overloads.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_exponential_dist.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_extreme_value.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_find_location.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_find_scale.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_fisher_f.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_gamma_dist.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_geometric.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_hyperexponential_dist.cpp ../../test/build//boost_unit_test_framework ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=0
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist0  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=1
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist1  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=2
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist2  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=3
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist3  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=4
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist4  ]
+   [ run test_hypergeometric_dist.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_QUANT=5
+          <toolset>intel:<pch>off
+        : test_hypergeometric_dist5  ]
+   [ run test_inverse_chi_squared_distribution.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_inverse_gamma_distribution.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_inverse_gaussian.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_laplace.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_inv_hyp.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_logistic_dist.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_lognormal.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_negative_binomial_float  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_negative_binomial_double  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_negative_binomial_long_double  ]
+   [ run test_negative_binomial.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_negative_binomial_real_concept  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_float  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_double  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_long_double  ]
+   [ run test_nc_chi_squared.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_nc_chi_squared_real_concept  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_nc_beta_float  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_beta_double  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_beta_long_double  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=1
+          <toolset>intel:<pch>off
+        : test_nc_beta_real_concept1  ]
+   [ run test_nc_beta.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <define>TEST_DATA=2
+          <toolset>intel:<pch>off
+        : test_nc_beta_real_concept2  ]
+   [ run test_nc_f.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_nc_t_float  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_t_double  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_nc_t_long_double  ]
+   [ run test_nc_t.cpp  pch ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_nc_t_real_concept  ]
+   [ run test_normal.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_pareto.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_poisson.cpp ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_FLOAT
+          <toolset>intel:<pch>off
+        : test_poisson_float  ]
+   [ run test_poisson.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_DOUBLE
+          <toolset>intel:<pch>off
+        : test_poisson_double  ]
+   [ run test_poisson.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_LDOUBLE
+          <toolset>intel:<pch>off
+        : test_poisson_long_double  ]
+   [ run test_poisson.cpp  ../../test/build//boost_unit_test_framework
+        : # command line
+        : # input files
+        : # requirements
+          <define>TEST_REAL_CONCEPT
+          <toolset>intel:<pch>off
+        : test_poisson_real_concept  ]
+   [ run test_rayleigh.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_students_t.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_skew_normal.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_trapezoidal.cpp ../../test/build//boost_unit_test_framework : : :
+         release [ requires cxx11_lambdas cxx11_auto_declarations cxx11_decltype cxx11_unified_initialization_syntax cxx11_variadic_templates ]
+         [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>"-Bstatic -lquadmath -Bdynamic" ] ]
+   [ run test_triangular.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_uniform.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_weibull.cpp ../../test/build//boost_unit_test_framework  ]
+
+   [ run  compile_test/dist_bernoulli_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_beta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_binomial_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_cauchy_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_chi_squared_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_complement_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_exponential_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_extreme_val_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_find_location_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_find_scale_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_fisher_f_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_gamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_inv_gamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_inv_chi_sq_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_hyperexponential_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_hypergeo_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_laplace_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_logistic_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_lognormal_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_neg_binom_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_chi_squ_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_beta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_f_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_nc_t_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_normal_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_poisson_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_students_t_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_triangular_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_uniform_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_weibull_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/distribution_concept_check.cpp  ]
+
+   [ run test_legacy_nonfinite.cpp ../../test/build//boost_unit_test_framework ]
+   [ run test_basic_nonfinite.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_lexical_cast.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_nonfinite_trap.cpp ../../test/build//boost_unit_test_framework : : : <exception-handling>off:<build>no  ]
+   [ run test_signed_zero.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run complex_test.cpp ../../test/build//boost_unit_test_framework  ]
+   #
+   # Moved from misc for load balancing reasons:
+   #
+   [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST1 : test_polynomial_1  ]
+   [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST2 : test_polynomial_2  ]
+   [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST3 : test_polynomial_3  ]
+   [ run polynomial_concept_check.cpp ]
+
+   [ compile multiprc_concept_check_1.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile multiprc_concept_check_2.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile multiprc_concept_check_3.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile multiprc_concept_check_4.cpp : <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release <exception-handling>off:<build>no  ]
+   [ compile ntl_concept_check.cpp : [ check-target-builds ../config//has_ntl_rr : : <build>no ] <debug-symbols>off  ]
+   [ compile mpfr_concept_check.cpp : [ check-target-builds ../config//has_mpfr_class : : <build>no ] <debug-symbols>off  ]
+   [ compile mpreal_concept_check.cpp : [ check-target-builds ../config//has_mpreal : : <build>no ] <debug-symbols>off  ]
+   [ compile e_float_concept_check.cpp : [ check-target-builds ../config//has_e_float : : <build>no ] <debug-symbols>off  ]
+
+;
+
+test-suite misc :
+   [ run test_tr1.cpp
+   ../build//boost_math_tr1
+   ../build//boost_math_tr1f
+   ../build//boost_math_c99
+   ../build//boost_math_c99f
+   ../../test/build//boost_unit_test_framework
+     ]
+
+   [ run test_tr1.cpp
+      ../build//boost_math_tr1l
+      ../build//boost_math_c99l
+      ../../test/build//boost_unit_test_framework
+      : : :
+      <define>TEST_LD=1
+      [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ]
+      :
+      test_tr1_long_double
+     ]
+
+   [ run test_tr1.c
+      ../build//boost_math_tr1
+      ../build//boost_math_tr1f
+      ../build//boost_math_c99
+      ../build//boost_math_c99f
+      ../../test/build//boost_unit_test_framework
+      : : : #requirements
+      :
+      test_tr1_c
+    ]
+
+   [ run test_tr1.c
+      ../build//boost_math_tr1l
+      ../build//boost_math_c99l
+      ../../test/build//boost_unit_test_framework
+      : : :
+      <define>TEST_LD=1
+      [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ]
+      :
+      test_tr1_c_long_double
+    ]
+   [ run test_constants.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_classify.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_error_handling.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run legendre_stieltjes_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_range_based_for ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]  ]
+   [ run test_minima.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_rationals.cpp ../../test/build//boost_unit_test_framework
+      test_rational_instances/test_rational_double1.cpp
+      test_rational_instances/test_rational_double2.cpp
+      test_rational_instances/test_rational_double3.cpp
+      test_rational_instances/test_rational_double4.cpp
+      test_rational_instances/test_rational_double5.cpp
+      test_rational_instances/test_rational_float1.cpp
+      test_rational_instances/test_rational_float2.cpp
+      test_rational_instances/test_rational_float3.cpp
+      test_rational_instances/test_rational_float4.cpp
+      test_rational_instances/test_rational_ldouble1.cpp
+      test_rational_instances/test_rational_ldouble2.cpp
+      test_rational_instances/test_rational_ldouble3.cpp
+      test_rational_instances/test_rational_ldouble4.cpp
+      test_rational_instances/test_rational_ldouble5.cpp
+      test_rational_instances/test_rational_real_concept1.cpp
+      test_rational_instances/test_rational_real_concept2.cpp
+      test_rational_instances/test_rational_real_concept3.cpp
+      test_rational_instances/test_rational_real_concept4.cpp
+      test_rational_instances/test_rational_real_concept5.cpp
+   ]
+   [ run test_policy.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_2.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_3.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_4.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_5.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_6.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_7.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_policy_8.cpp ../../test/build//boost_unit_test_framework  ]
+   [ compile test_policy_9.cpp  ]
+   [ run test_policy_sf.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_long_double_support.cpp ../../test/build//boost_unit_test_framework
+      : : : [ check-target-builds ../config//has_long_double_support "long double support" : : <build>no ] ]
+   [ run test_recurrence.cpp : : : <define>TEST=1 [ requires cxx11_unified_initialization_syntax cxx11_hdr_tuple cxx11_auto_declarations cxx11_decltype ] <toolset>msvc:<cxxflags>/bigobj : test_recurrence_1 ]
+   [ run test_recurrence.cpp : : : <define>TEST=2 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] [ requires cxx11_unified_initialization_syntax cxx11_hdr_tuple cxx11_auto_declarations cxx11_decltype ]  : test_recurrence_2 ]
+   [ run test_recurrence.cpp : : : <define>TEST=3 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] [ requires cxx11_unified_initialization_syntax cxx11_hdr_tuple cxx11_auto_declarations cxx11_decltype ]  : test_recurrence_3 ]
+
+   [ run test_print_info_on_type.cpp  ]
+   [ run test_barycentric_rational.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations cxx11_unified_initialization_syntax ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]  ]
+   [ run test_vector_barycentric_rational.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations cxx11_unified_initialization_syntax ]  [ check-target-builds ../../multiprecision/config//has_eigen : : <build>no ] ]
+   [ run cardinal_cubic_b_spline_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release ]
+   [ run cardinal_b_spline_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run jacobi_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run gegenbauer_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run daubechies_scaling_test.cpp  : : : <toolset>msvc:<cxxflags>/bigobj [ requires cxx17_if_constexpr cxx17_std_apply ]  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run daubechies_wavelet_test.cpp  : : : <toolset>msvc:<cxxflags>/bigobj [ requires cxx17_if_constexpr cxx17_std_apply ]  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ compile compile_test/daubechies_filters_incl_test.cpp : [ requires cxx17_if_constexpr cxx17_std_apply ]  ]
+   [ compile compile_test/daubechies_scaling_incl_test.cpp : [ requires cxx17_if_constexpr cxx17_std_apply ]  ]
+   [ run whittaker_shannon_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] ]
+   [ run cardinal_quadratic_b_spline_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] ]
+   [ run cardinal_quintic_b_spline_test.cpp : : :  [ requires cxx11_auto_declarations cxx11_constexpr cxx11_smart_ptr cxx11_defaulted_functions ] [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run makima_test.cpp  : : :  [ requires cxx17_if_constexpr cxx17_std_apply ]  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run pchip_test.cpp  : : :  [ requires cxx17_if_constexpr cxx17_std_apply ]  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run septic_hermite_test.cpp  : : :  [ requires cxx17_if_constexpr cxx17_std_apply ]  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run quintic_hermite_test.cpp  : : :  [ requires cxx17_if_constexpr cxx17_std_apply ]  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run cubic_hermite_test.cpp  : : :  [ requires cxx17_if_constexpr cxx17_std_apply ]  [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run catmull_rom_test.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST=1 [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] : catmull_rom_test_1 ]
+   [ run catmull_rom_test.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST=2 [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] : catmull_rom_test_2 ]
+   [ run catmull_rom_test.cpp ../../test/build//boost_unit_test_framework : : : <define>TEST=3 [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] : catmull_rom_test_3 ]
+   [ run compile_test/catmull_rom_incl_test.cpp compile_test_main  : : : [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] ]
+   [ run compile_test/catmull_rom_concept_test.cpp compile_test_main   : : : [ requires cxx11_hdr_array cxx11_hdr_initializer_list ] ]
+   [ run ooura_fourier_integral_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run univariate_statistics_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run empirical_cumulative_distribution_test.cpp  : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run norms_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run signal_statistics_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run anderson_darling_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run ljung_box_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run test_t_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run bivariate_statistics_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run linear_regression_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run test_runs_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run lanczos_smoothing_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run condition_number_test.cpp ../../test/build//boost_unit_test_framework : : :  [ requires cxx17_if_constexpr cxx17_std_apply ] ]
+   [ run test_real_concept.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_remez.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_roots.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run test_root_iterations.cpp pch ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_tuple ]  ]
+   [ run test_root_finding_concepts.cpp ../../test/build//boost_unit_test_framework  ]
+   [ run test_toms748_solve.cpp pch ../../test/build//boost_unit_test_framework  ]
+   [ run  compile_test/cubic_spline_incl_test.cpp compile_test_main : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations ]  ]
+   [ run  compile_test/barycentric_rational_incl_test.cpp compile_test_main : : :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_auto_declarations cxx11_unified_initialization_syntax ]  ]
+   [ run  compile_test/compl_abs_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_acos_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_acosh_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_asin_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_asinh_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_atan_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/compl_atanh_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_beta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_bernoulli_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_bessel_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_bessel_deriv_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_binomial_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_cbrt_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_cos_pi_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_digamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_polygamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_2_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_3_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_d_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_jacobi_zeta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_heuman_lambda_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rd_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rf_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rj_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ellint_rg_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_erf_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_expint_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_expm1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_factorials_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_fpclassify_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_gamma_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_hermite_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_hypot_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_laguerre_incl_test.cpp compile_test_main  ]
+   [ compile  compile_test/sf_lanczos_incl_test.cpp  ]
+   [ run  compile_test/sf_legendre_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_legendre_stieltjes_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations ]  ]
+   [ run  compile_test/sf_log1p_incl_test.cpp compile_test_main  ]
+   [ compile  compile_test/sf_math_fwd_incl_test.cpp  ]
+   [ run  compile_test/sf_modf_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_next_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_powm1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_prime_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_relative_distance_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_round_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sign_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sin_pi_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sinc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sinhc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sph_harm_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_sqrt1pm1_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_trunc_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_ulp_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_zeta_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/std_real_concept_check.cpp  ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE32 : std_real_concept_check_32 ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE64 : std_real_concept_check_64 ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE80 : std_real_concept_check_80 ]
+   [ compile compile_test/std_real_concept_check.cpp  : <define>EMULATE128 : std_real_concept_check_128 ]
+   [ run  compile_test/cstdfloat_concept_check_1.cpp
+      : : : [ check-target-builds ../config//has_intel_quad "Intel _Quad datatype support" : <cxxflags>-Qoption,cpp,--extended_float_type ]
+            [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run  compile_test/cstdfloat_concept_check_2.cpp  ]
+   [ run  compile_test/cstdfloat_concept_check_3.cpp  ]
+   [ run  compile_test/cstdfloat_concept_check_4.cpp  ]
+   [ run  test_cstdfloat.cpp ../../test/build//boost_unit_test_framework  : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run  compile_test/sf_airy_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_hankel_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_jacobi_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/sf_owens_t_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/dist_skew_norm_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/constants_incl_test.cpp compile_test_main  ]
+   [ run  compile_test/trapezoidal_incl_test.cpp compile_test_main  : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_decltype cxx11_unified_initialization_syntax cxx11_variadic_templates ] ]
+   [ compile  compile_test/test_traits.cpp  ]
+   [ compile  compile_test/tools_config_inc_test.cpp  ]
+   [ compile  compile_test/tools_fraction_inc_test.cpp  ]
+   [ compile  compile_test/tools_minima_inc_test.cpp  ]
+   [ compile  compile_test/tools_polynomial_inc_test.cpp  ]
+   [ compile  compile_test/tools_precision_inc_test.cpp  ]
+   [ compile  compile_test/tools_rational_inc_test.cpp  ]
+   [ compile  compile_test/tools_real_cast_inc_test.cpp  ]
+   [ compile  compile_test/tools_remez_inc_test.cpp  ]
+   [ compile  compile_test/tools_roots_inc_test.cpp  ]
+   [ compile  compile_test/tools_series_inc_test.cpp  ]
+   [ compile  compile_test/tools_solve_inc_test.cpp  ]
+   [ compile  compile_test/tools_stats_inc_test.cpp  ]
+   [ compile  compile_test/tools_test_data_inc_test.cpp  ]
+   [ compile  compile_test/tools_test_inc_test.cpp  ]
+   [ compile  compile_test/tools_toms748_inc_test.cpp  ]
+   [ compile  compile_test/cubic_spline_concept_test.cpp :  [ requires cxx11_smart_ptr cxx11_defaulted_functions ]  ]
+   [ compile  compile_test/barycentric_rational_concept_test.cpp :  [ requires cxx11_smart_ptr cxx11_defaulted_functions cxx11_unified_initialization_syntax ]  ]
+   [ compile  compile_test/sf_legendre_stieltjes_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_defaulted_functions cxx11_lambdas ]   ]
+   [ compile  compile_test/trapezoidal_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_decltype cxx11_unified_initialization_syntax cxx11_variadic_templates ] ]
+   [ run octonion_test.cpp
+       ../../test/build//boost_unit_test_framework ]
+   [ run quaternion_constexpr_test.cpp ]
+   [ run quaternion_test.cpp
+       ../../test/build//boost_unit_test_framework : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] ]
+   [ run quaternion_mult_incl_test.cpp
+       quaternion_mi1.cpp
+       quaternion_mi2.cpp
+       ../../test/build//boost_unit_test_framework ]
+
+   [ run __temporary_test.cpp test_instances//test_instances : : : <test-info>always_show_run_output <pch>off ]
+;
+
+test-suite quadrature :
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_1 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST1A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_1a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST1B [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_1b ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_2 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST2A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_2a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_3 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST3A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_3a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST4 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_4 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST5 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_5 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <toolset>msvc:<cxxflags>/bigobj <define>TEST6 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_6 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST6A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_6a ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST7 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_7 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST8 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_8 ]
+   [ run  tanh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <toolset>msvc:<cxxflags>/bigobj <define>TEST9
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] :
+   tanh_sinh_quadrature_test_9 ]
+
+   [ run sinh_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_1 ]
+
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_2 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_3 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST4 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_4 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST5 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_5 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST6 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_6 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST7 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_7 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST8 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_8 ]
+   [ run exp_sinh_quadrature_test.cpp ../../test/build//boost_unit_test_framework
+     : : : release <define>TEST9 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] : exp_sinh_quadrature_test_9 ]
+
+   [ run  compile_test/exp_sinh_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ run  compile_test/sinh_sinh_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ run  compile_test/tanh_sinh_incl_test.cpp compile_test_main : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+   [ compile  compile_test/exp_sinh_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ compile  compile_test/sinh_sinh_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ compile  compile_test/tanh_sinh_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax sfinae_expr ] ]
+
+   [ run gauss_quadrature_test.cpp : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_quadrature_test_1 ]
+   [ run gauss_quadrature_test.cpp : : : <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_quadrature_test_2 ]
+   [ run gauss_quadrature_test.cpp : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_quadrature_test_3 ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_1 ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST1A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_1a ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_2 ]
+   [ run gauss_kronrod_quadrature_test.cpp : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : gauss_kronrod_quadrature_test_3 ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST1 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_1 ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST1A [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_1a ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST2 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_2 ]
+   [ run adaptive_gauss_kronrod_quadrature_test.cpp : : : <define>TEST3 [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release : adaptive_gauss_quadrature_test_3 ]
+
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=1  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_1
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=2  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_2
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=3  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_3
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=4  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_4
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=5  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_5
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=6  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_6
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=7  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_7
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=8  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_8
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=9  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_9
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=10  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_10
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=11  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_11
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=12  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_12
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=13  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_13
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=14  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_14
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=15  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_15
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=16  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_16
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=17  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_17
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=18  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_18
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=19  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_19
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=20  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_20
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=21  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_21
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=22  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_22
+   ]
+   [ run naive_monte_carlo_test.cpp ../../atomic/build//boost_atomic : : :
+     <toolset>msvc:<cxxflags>/bigobj <define>TEST=23  [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread" : naive_monte_carlo_test_23
+   ]
+   [ compile compile_test/naive_monte_carlo_incl_test.cpp ../../atomic/build//boost_atomic :
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread"
+   ]
+   [ compile compile_test/naive_monte_carlo_concept_test.cpp ../../atomic/build//boost_atomic :
+     [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_hdr_thread cxx11_hdr_atomic cxx11_decltype cxx11_hdr_future cxx11_hdr_chrono cxx11_hdr_random cxx11_allocator ]
+     <target-os>linux:<linkflags>"-pthread"
+   ]
+
+   [ compile compile_test/gauss_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+   [ compile compile_test/gauss_kronrod_concept_test.cpp : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_smart_ptr cxx11_unified_initialization_syntax ] ]
+
+   [ run test_numerical_differentiation.cpp ../../test/build//boost_unit_test_framework  : : : <toolset>msvc:<cxxflags>/bigobj [ requires cxx11_auto_declarations cxx11_constexpr ] ]
+   [ run  compile_test/numerical_differentiation_incl_test.cpp compile_test_main  : : : [ requires cxx11_auto_declarations cxx11_constexpr ] ]
+   [ compile  compile_test/numerical_differentiation_concept_test.cpp  : [ requires cxx11_auto_declarations cxx11_constexpr ] ]
+   [ run test_autodiff_1.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_2.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_3.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_4.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_5.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_6.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_7.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_8.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ compile compile_test/autodiff_incl_test.cpp : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+;
+
+#
+#  These tests are run by default when you invoke the Jamfile, but
+#  they are deliberately NOT run from the CI scripts as they soak up
+#  too much time:
+#
+test-suite long-running-tests :
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] : test_0F1_3 ]
+   [ run test_0F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release : test_0F1_4 ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_real_concept ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_quad ]
+   [ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_dec_40 ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_quad ]
+   [ run test_1F1_regularized.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_regularized_dec_40 ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_quad ]
+   [ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_1F1_log_dec_40 ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_quad ]
+   [ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal-range : test_pFq_dec_40 ]
+   [ run test_pFq_precision.cpp ../../test/build//boost_unit_test_framework /boost/system//boost_system /boost/chrono//boost_chrono : : : <linkflags>-lgmp <linkflags>-lmpfr [ check-target-builds ../config//has_mpfr : : <build>no ] [ requires cxx11_hdr_initializer_list cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] release <toolset>clang:<cxxflags>-Wno-literal-range ]
+   [ run test_constant_generate.cpp : : : release <define>USE_CPP_FLOAT=1 <exception-handling>off:<build>no  ]
+;
+
+build-project ../example ;
+# Expect policy_ref_snips13 to fail (message about no Cauchy Mean).
+
+
+rule get_float128_tests
+{
+     local result ;
+     for local source in [ glob float128/*.cpp ]
+     {
+         result += [ run $(source)
+            /boost/test//boost_unit_test_framework/<link>static
+            /boost/regex//boost_regex/<link>static
+           : # command line
+           : # input files
+           : # requirements
+            [ check-target-builds ../config//has_intel_quad "Intel _Quad datatype support" : <cxxflags>-Qoption,cpp,--extended_float_type <define>BOOST_MATH_USE_FLOAT128 ]
+            [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ]
+            [ check-target-builds ../config//has_128bit_floatmax_t "128-bit floatmax_t" : : <build>no ]
+            <define>BOOST_ALL_NO_LIB
+           : $(source:B)_floatmax_t ] ;
+     }
+     return $(result) ;
+}
+
+test-suite float128_tests : [ get_float128_tests ] ;
diff --git a/src/boost/libs/math/test/__temporary_test.cpp b/src/boost/libs/math/test/__temporary_test.cpp
new file mode 100644
index 000000000..f9e827328
--- /dev/null
+++ b/src/boost/libs/math/test/__temporary_test.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2018
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+// This test file exists to output diagnostic info for tests failing in the online matrix
+// for perplexing reasons, it's contents are subject to constant change!!
+//
+#define BOOST_MATH_INSTRUMENT
+
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <iostream>
+
+int main()
+{
+   std::cout << "EllintD(1, -1) = " << std::setprecision(20) << boost::math::ellint_d(1.0, -1.0) << std::endl;
+   std::cout << "EllintD(6.4851474761962890625e-01L , -7.6733188629150390625e+00L) = " << std::setprecision(20) << boost::math::ellint_d(6.4851474761962890625e-01, -7.6733188629150390625e+00) << std::endl;
+
+   std::cout << "EllintD(1, -1) = " << std::setprecision(20) << boost::math::ellint_d(1.0L, -1.0L) << std::endl;
+   std::cout << "EllintD(6.4851474761962890625e-01L , -7.6733188629150390625e+00L) = " << std::setprecision(20) << boost::math::ellint_d(6.4851474761962890625e-01L , -7.6733188629150390625e+00L) << std::endl;
+}
+
diff --git a/src/boost/libs/math/test/acosh_data.ipp b/src/boost/libs/math/test/acosh_data.ipp
new file mode 100644
index 000000000..bbee99f8a
--- /dev/null
+++ b/src/boost/libs/math/test/acosh_data.ipp
@@ -0,0 +1,273 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 261> acosh_data = {{
+      {{ SC_(1.000001430511474609375), SC_(0.001691455665129294448190238354291760044433) }}, 
+      {{ SC_(1.0000019073486328125), SC_(0.001953124689559275021527821917817027620963) }}, 
+      {{ SC_(1.000007152557373046875), SC_(0.003782208044661295168504799813496158490314) }}, 
+      {{ SC_(1.000013828277587890625), SC_(0.005258943946801101349061072655743616330534) }}, 
+      {{ SC_(1.0000171661376953125), SC_(0.005859366618129202398694086527594451883545) }}, 
+      {{ SC_(1.00006008148193359375), SC_(0.0109618319921888517811096976159923461784) }}, 
+      {{ SC_(1.000116825103759765625), SC_(0.01528547213183042467192017645636643040682) }}, 
+      {{ SC_(1.000148773193359375), SC_(0.01724931909352987823311560583970196658141) }}, 
+      {{ SC_(1.000398159027099609375), SC_(0.02821817173865537359266716853098519889415) }}, 
+      {{ SC_(1.000638484954833984375), SC_(0.03573281468231456624811499142438796295686) }}, 
+      {{ SC_(1.001071453094482421875), SC_(0.04628740247287877599360006621134226755174) }}, 
+      {{ SC_(1.003021717071533203125), SC_(0.07771996527168971264969648279358369972575) }}, 
+      {{ SC_(1.004993915557861328125), SC_(0.09989759308602780434912638996550489375369) }}, 
+      {{ SC_(1.00928401947021484375), SC_(0.1361593876803246479600670434737716450022) }}, 
+      {{ SC_(1.024169921875), SC_(0.2194227900495835483852561715845842241518) }}, 
+      {{ SC_(1.062277317047119140625), SC_(0.3511165938166054588185413287563455693446) }}, 
+      {{ SC_(1.12234401702880859375), SC_(0.4897502671128818535428474267470966393752) }}, 
+      {{ SC_(1.2495574951171875), SC_(0.6925568837084910405419269283192900693752) }}, 
+      {{ SC_(1.491221904754638671875), SC_(0.9545305722214140465734705961617555409538) }}, 
+      {{ SC_(1.983847141265869140625), SC_(1.307581416910453029674373062377350125402) }}, 
+      {{ SC_(2.15761280059814453125), SC_(1.403518877974133434572205965467405839077) }}, 
+      {{ SC_(2.40639781951904296875), SC_(1.525007084542751786819384889715403191957) }}, 
+      {{ SC_(3.38695812225341796875), SC_(1.890537201307279875549078665860235683411) }}, 
+      {{ SC_(4.4516773223876953125), SC_(2.173567339994825397387431806918552342932) }}, 
+      {{ SC_(6.9391326904296875), SC_(2.625091127868242256287879402513352014572) }}, 
+      {{ SC_(7.756023406982421875), SC_(2.737434918695162165715461546271032662695) }}, 
+      {{ SC_(8.8823699951171875), SC_(2.874031716780194544439172840789924579634) }}, 
+      {{ SC_(9.869171142578125), SC_(2.979986393289490221624555712675426245527) }}, 
+      {{ SC_(16.848876953125), SC_(3.516549380542481075157493697729821147595) }}, 
+      {{ SC_(16.88458251953125), SC_(3.518670034680249794623612003576884164306) }}, 
+      {{ SC_(18.18859100341796875), SC_(3.593185165198828891634086870735797352995) }}, 
+      {{ SC_(18.82012176513671875), SC_(3.627367214296338506596699897092700261917) }}, 
+      {{ SC_(19.18418121337890625), SC_(3.646553244410946142822321573885913155251) }}, 
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+      {{ SC_(3770530.0), SC_(15.83587331365755605568701554508826253991) }}, 
+      {{ SC_(4344090.0), SC_(15.97747403917326507392988269405762331118) }}, 
+      {{ SC_(11419360.0), SC_(16.94396789915014469006155507384872743685) }}, 
+      {{ SC_(31023240.0), SC_(17.9433943395609684013300439026124645108) }}, 
+      {{ SC_(40665424.0), SC_(18.21403593674543079149440340324547029148) }}, 
+      {{ SC_(129788064.0), SC_(19.37456058170921543648305825985098346634) }}, 
+      {{ SC_(225668224.0), SC_(19.9277236237785460971743917048171789264) }}, 
+      {{ SC_(450631936.0), SC_(20.61930863840059519949232655148142693395) }}, 
+      {{ SC_(750941952.0), SC_(21.1299860930266968673735341410555546727) }}, 
+      {{ SC_(1887358976.0), SC_(22.05159150215413004649732665310838648331) }}, 
+      {{ SC_(3738011648.0), SC_(22.73496684263974142690946105862900518113) }}, 
+      {{ SC_(7486695424.0), SC_(23.42954051928097083366085869187241049078) }}, 
+      {{ SC_(12668080128.0), SC_(23.95549847139166892348970713379911103008) }}, 
+      {{ SC_(23918272512.0), SC_(24.59105572458284785473015955570721968617) }}, 
+      {{ SC_(48862560256.0), SC_(25.30542448179939429678484289438720749573) }}, 
+      {{ SC_(113763549184.0), SC_(26.15053518194943663075151882301281675861) }}, 
+      {{ SC_(161334755328.0), SC_(26.49989444953256419131899378956019192586) }}, 
+      {{ SC_(321933279232.0), SC_(27.19075733422631778452130090694771384112) }}, 
+      {{ SC_(715734122496.0), SC_(27.98972177820814613504868209029528272152) }}, 
+      {{ SC_(1875817529344.0), SC_(28.95321287653379863631300659442341812344) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/acosh_test.hpp b/src/boost/libs/math/test/acosh_test.hpp
new file mode 100644
index 000000000..906025c3e
--- /dev/null
+++ b/src/boost/libs/math/test/acosh_test.hpp
@@ -0,0 +1,120 @@
+// unit test file acosh.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+
+#define BOOST_TEST_MAiN
+#include <boost/math/special_functions/acosh.hpp>
+
+
+#include <boost/test/unit_test.hpp>
+
+
+template<typename T>
+T    acosh_error_evaluator(T x)
+{
+    using    ::std::abs;
+    using    ::std::sinh;
+    using    ::std::cosh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::acosh;
+    
+    
+    static T const    epsilon = numeric_limits<float>::epsilon();
+    
+    T                y = cosh(x);
+    T                z = acosh(y);
+    
+    T                absolute_error = abs(z-abs(x));
+    T                relative_error = absolute_error*abs(sinh(x));
+    T                scaled_error = relative_error/epsilon;
+    
+    return(scaled_error);
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(acosh_test, T)
+{
+    BOOST_TEST_MESSAGE("Testing acosh in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        T    x = static_cast<T>(i-50)/static_cast<T>(5);
+        
+        BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+            (acosh_error_evaluator(x))
+            (static_cast<T>(4)));
+    }
+    // special cases for bug report: https://svn.boost.org/trac/boost/ticket/5113
+    T x = 1e-2f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-3f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-4f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-5f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    x = 1e-6f;
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+       (acosh_error_evaluator(x))
+       (static_cast<T>(4)));
+    //
+    // Special cases:
+    //
+    if(std::numeric_limits<T>::has_infinity)
+    {
+       T inf = std::numeric_limits<T>::infinity();
+       boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::ignore_error> > pol;
+       BOOST_CHECK_EQUAL(boost::math::asinh(inf, pol), inf);
+    }
+}
+
+
+void    acosh_manual_check()
+{
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("acosh");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        float        xf = static_cast<float>(i-50)/static_cast<float>(5);
+        double       xd = static_cast<double>(i-50)/static_cast<double>(5);
+        long double  xl = 
+                static_cast<long double>(i-50)/static_cast<long double>(5);
+        
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << acosh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << acosh_error_evaluator(xd)
+                     << ::std::setw(15)
+                     << acosh_error_evaluator(xl));
+#else
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << acosh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << acosh_error_evaluator(xd));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
diff --git a/src/boost/libs/math/test/adaptive_gauss_kronrod_quadrature_test.cpp b/src/boost/libs/math/test/adaptive_gauss_kronrod_quadrature_test.cpp
new file mode 100644
index 000000000..7b40829a2
--- /dev/null
+++ b/src/boost/libs/math/test/adaptive_gauss_kronrod_quadrature_test.cpp
@@ -0,0 +1,315 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE adaptive_gauss_kronrod_quadrature_test
+
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#if !defined(TEST1) && !defined(TEST1A) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST1A
+#  define TEST2
+#  define TEST3
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::math::quadrature::gauss_kronrod;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::multiprecision::cpp_bin_float_quad;
+
+template <class Real>
+Real get_termination_condition()
+{
+   return boost::math::tools::epsilon<Real>() * 1000;
+}
+
+
+template<class Real, unsigned Points>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by gauss_kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+    auto f = [](const Real& x)
+    {
+       return 5*x + 7;
+    };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, (Real) 0, (Real) 1, 15, get_termination_condition<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - 9.5));
+}
+
+template<class Real, unsigned Points>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by gauss-kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+
+    auto f = [](const Real& x) { return 5*x*x + 7*x + 12; };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, 0, 1, 15, get_termination_condition<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - ((Real)17 + half<Real>()*third<Real>())));
+}
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real, unsigned Points>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& x) { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = gauss_kronrod<Real, Points>::integrate(f1, 0, 1, 15, get_termination_condition<Real>(), &error, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - Q_expected));
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0 , 1, 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+    BOOST_CHECK_GE(fabs(error), fabs(Q - Q_expected));
+
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f5, 0, 1, 25);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 100 * tol);
+}
+
+template<class Real, unsigned Points>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+
+    // Example 1:
+    auto f1 = [](const Real& t) { return t*boost::math::log1p(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0 , 1);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t) { return t*t*atan(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0, 1);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t) { return exp(t)*cos(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f3, 0, half_pi<Real>());
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 0, 1);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real, unsigned Points>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+
+    auto f4 = [](const Real& t) { return 1/cosh(t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f4, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+
+}
+
+template<class Real, unsigned Points>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for Gauss-Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0, boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+
+    auto f4 = [](const Real& t) { return 1/(1+t*t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 1, boost::math::tools::max_value<Real>(), 15, get_termination_condition<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+    BOOST_CHECK_LE(fabs(error / Q), get_termination_condition<Real>());
+}
+
+template<class Real, unsigned Points>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for Gauss-Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real Q;
+    Real Q_expected;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), 0);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 300*tol);
+}
+
+BOOST_AUTO_TEST_CASE(gauss_quadrature_test)
+{
+#ifdef TEST1
+    std::cout << "Testing with 15 point Gauss-Kronrod rule:\n";
+    test_linear<double, 15>();
+    test_quadratic<double, 15>();
+    test_ca<double, 15>();
+    test_three_quadrature_schemes_examples<double, 15>();
+    test_integration_over_real_line<double, 15>();
+    test_right_limit_infinite<double, 15>();
+    test_left_limit_infinite<double, 15>();
+
+    //  test one case where we do not have pre-computed constants:
+    std::cout << "Testing with 17 point Gauss-Kronrod rule:\n";
+    test_linear<double, 17>();
+    test_quadratic<double, 17>();
+    test_ca<double, 17>();
+    test_three_quadrature_schemes_examples<double, 17>();
+    test_integration_over_real_line<double, 17>();
+    test_right_limit_infinite<double, 17>();
+    test_left_limit_infinite<double, 17>();
+#endif
+#ifdef TEST1A
+    std::cout << "Testing with 21 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 21>();
+    test_quadratic<cpp_bin_float_quad, 21>();
+    test_ca<cpp_bin_float_quad, 21>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 21>();
+    test_integration_over_real_line<cpp_bin_float_quad, 21>();
+    test_right_limit_infinite<cpp_bin_float_quad, 21>();
+    test_left_limit_infinite<cpp_bin_float_quad, 21>();
+
+    std::cout << "Testing with 31 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 31>();
+    test_quadratic<cpp_bin_float_quad, 31>();
+    test_ca<cpp_bin_float_quad, 31>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 31>();
+    test_integration_over_real_line<cpp_bin_float_quad, 31>();
+    test_right_limit_infinite<cpp_bin_float_quad, 31>();
+    test_left_limit_infinite<cpp_bin_float_quad, 31>();
+#endif
+#ifdef TEST2
+    std::cout << "Testing with 41 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 41>();
+    test_quadratic<cpp_bin_float_quad, 41>();
+    test_ca<cpp_bin_float_quad, 41>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 41>();
+    test_integration_over_real_line<cpp_bin_float_quad, 41>();
+    test_right_limit_infinite<cpp_bin_float_quad, 41>();
+    test_left_limit_infinite<cpp_bin_float_quad, 41>();
+
+    std::cout << "Testing with 51 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 51>();
+    test_quadratic<cpp_bin_float_quad, 51>();
+    test_ca<cpp_bin_float_quad, 51>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 51>();
+    test_integration_over_real_line<cpp_bin_float_quad, 51>();
+    test_right_limit_infinite<cpp_bin_float_quad, 51>();
+    test_left_limit_infinite<cpp_bin_float_quad, 51>();
+#endif
+#ifdef TEST3
+    std::cout << "Testing with 61 point Gauss-Kronrod rule:\n";
+    test_linear<cpp_bin_float_quad, 61>();
+    test_quadratic<cpp_bin_float_quad, 61>();
+    test_ca<cpp_bin_float_quad, 61>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 61>();
+    test_integration_over_real_line<cpp_bin_float_quad, 61>();
+    test_right_limit_infinite<cpp_bin_float_quad, 61>();
+    test_left_limit_infinite<cpp_bin_float_quad, 61>();
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/almost_equal.ipp b/src/boost/libs/math/test/almost_equal.ipp
new file mode 100644
index 000000000..107ee65e5
--- /dev/null
+++ b/src/boost/libs/math/test/almost_equal.ipp
@@ -0,0 +1,20 @@
+#ifndef BOOST_MATH_ALMOST_EQUAL_HPP
+#define BOOST_MATH_ALMOST_EQUAL_HPP
+
+// Copyright (c) 2006 Johan Rade
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+
+template<class ValType>
+bool almost_equal(ValType a, ValType b)
+{
+    const ValType e = static_cast<ValType>(0.00001);
+    return (a - e * std::abs(a) <= b + e * std::abs(b))
+        && (a + e * std::abs(a) >= b - e * std::abs(b));
+}
+
+#endif
diff --git a/src/boost/libs/math/test/anderson_darling_test.cpp b/src/boost/libs/math/test/anderson_darling_test.cpp
new file mode 100644
index 000000000..8f0fb95fe
--- /dev/null
+++ b/src/boost/libs/math/test/anderson_darling_test.cpp
@@ -0,0 +1,64 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/core/demangle.hpp>
+#include <boost/math/statistics/anderson_darling.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::statistics::anderson_darling_normality_statistic;
+
+void test_ad_normal_agreement_w_mathematica()
+{
+    // To reproduce:
+    // data = RandomVariate[NormalDistribution[0.0, 1], 32];
+    // AndersonDarlingTest[data, NormalDistribution[0.0, 1.0], "TestStatistic"]
+    std::vector<double> v = {0.6018671202167422, 0.34935310534248165, -0.2975464874480147, 0.19075371678288966, 0.7871329594028097, 1.153968559452821,
+                            -0.22255484635945819, 0.08509539017654276, -1.3495873906132927, 0.5579622886226612, -0.8781637835839865, 1.144016010880056,
+                             0.3117638373078617, 1.2774825413798292, 0.24847416220730323, -0.5002468827503855, -0.23124277830160153, 0.1880980838556693,
+                            -1.2249409521605903, 2.583585311795, -1.4237305768919715, -0.7613985266437971, -1.089096700141564, -1.2595396780059587,
+                            -0.735507006841229, -0.6957024998691735, 0.24671590370045435, 0.24620128485023313, -2.4445908627621833, 0.1882647961008893,
+                             1.8527432579288248, -0.1908629038857823, -1.6542624501251562, 1.414542907065601, 0.8188282235404601, -0.5040501225935047,
+                            -1.634617885381599, -0.43608956281596023, -1.7347258501594351, 0.8387606547880405, 0.3554282034994122, -0.27872688042721255,
+                            -1.6445047421517192, 1.0262620986278987, -0.14517030192098415, -0.15386932114942647, -0.13364750619758223, 0.27194802295714676,
+                            -0.6396907621289796, 0.3390884293844603, -0.08298748318375798, -0.7165572035514544, -0.2580817977433051, -1.9250094572058072,
+                            -0.07995578394716944, -1.146629910012214, -2.0053073148074665, -1.6745995591714353, 0.2973860474005926, -0.4981763213542575,
+                             0.22190763958244972, 0.699111028057888, -1.1872952966557475, 0.6151420566782272};
+
+    double expected = 1.542329830419774;
+    std::sort(v.begin(), v.end());
+    double ADtest = anderson_darling_normality_statistic(v, 0.0, 1.0);
+
+    CHECK_ULP_CLOSE(expected, ADtest, 250);
+
+    double sigma = 2;
+    for (auto & x : v) {
+        x *= sigma;
+    }
+    ADtest = anderson_darling_normality_statistic(v, 0.0, sigma);
+    CHECK_ULP_CLOSE(expected, ADtest, 250);
+
+    double mu = 10;
+    for (auto & x : v) {
+        x += mu;
+    }
+    ADtest = anderson_darling_normality_statistic(v, mu, sigma);
+    CHECK_ULP_CLOSE(expected, ADtest, 250);
+}
+
+int main()
+{
+    test_ad_normal_agreement_w_mathematica();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/asinh_data.ipp b/src/boost/libs/math/test/asinh_data.ipp
new file mode 100644
index 000000000..c947f5515
--- /dev/null
+++ b/src/boost/libs/math/test/asinh_data.ipp
@@ -0,0 +1,293 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 281> asinh_data = {{
+      {{ SC_(-497.181640625), SC_(-6.902103625349694816896128061929344488774) }}, 
+      {{ SC_(-495.216552734375), SC_(-6.898143347143858285101511567975488446084) }}, 
+      {{ SC_(-488.0980224609375), SC_(-6.883664481302669222996695409880306523751) }}, 
+      {{ SC_(-486.4609375), SC_(-6.880304842490272781295755933349565066089) }}, 
+      {{ SC_(-482.2261962890625), SC_(-6.87156154650904602462361416438487324277) }}, 
+      {{ SC_(-468.167236328125), SC_(-6.841973895837549314760586943747302390125) }}, 
+      {{ SC_(-465.553955078125), SC_(-6.836376331805492593765664636569933371943) }}, 
+      {{ SC_(-464.288330078125), SC_(-6.833654100575195198545828306587445927099) }}, 
+      {{ SC_(-463.558837890625), SC_(-6.832081663500904935919737735423649299577) }}, 
+      {{ SC_(-453.82861328125), SC_(-6.81086801736630853656142245668310545817) }}, 
+      {{ SC_(-448.7835693359375), SC_(-6.799689165151486910757237507031024212372) }}, 
+      {{ SC_(-446.0499267578125), SC_(-6.793579326246197169098958913912928750651) }}, 
+      {{ SC_(-432.4046630859375), SC_(-6.762510387544996144846476710732722287747) }}, 
+      {{ SC_(-424.145751953125), SC_(-6.74322572098922178423984261142063288429) }}, 
+      {{ SC_(-402.8682861328125), SC_(-6.69175839599430693315848859453612846314) }}, 
+      {{ SC_(-402.4595947265625), SC_(-6.690743430063694316478378930442947372479) }}, 
+      {{ SC_(-390.1383056640625), SC_(-6.65965012921145083591836824643494979965) }}, 
+      {{ SC_(-387.5355224609375), SC_(-6.652956360641761371501126846246743833405) }}, 
+      {{ SC_(-381.0023193359375), SC_(-6.635954365364266311169729037072694814964) }}, 
+      {{ SC_(-374.8172607421875), SC_(-6.619587562578274050554380148151080691039) }}, 
+      {{ SC_(-374.1033935546875), SC_(-6.617681179427804403332414367961774779791) }}, 
+      {{ SC_(-373.01318359375), SC_(-6.614762741096184771534770781005436075363) }}, 
+      {{ SC_(-370.0938720703125), SC_(-6.606905687537060691122483933557635629252) }}, 
+      {{ SC_(-364.5230712890625), SC_(-6.591738907156093293807291816593779744849) }}, 
+      {{ SC_(-361.3756103515625), SC_(-6.583066984213974024130269349536598335519) }}, 
+      {{ SC_(-358.1136474609375), SC_(-6.573999516974134646764605942478671320562) }}, 
+      {{ SC_(-350.8861083984375), SC_(-6.553610904389895936746972395658913458292) }}, 
+      {{ SC_(-350.7060546875), SC_(-6.553097634736137347416591397792124912806) }}, 
+      {{ SC_(-345.5616455078125), SC_(-6.538320325468201861196672683728074373679) }}, 
+      {{ SC_(-342.386962890625), SC_(-6.529090881007076202584033383216307968614) }}, 
+      {{ SC_(-341.9425048828125), SC_(-6.527791927233787108981347318463639017897) }}, 
+      {{ SC_(-337.3883056640625), SC_(-6.51438388615078099259979168949837683455) }}, 
+      {{ SC_(-328.8133544921875), SC_(-6.488639771044976384845381893407049569445) }}, 
+      {{ SC_(-326.1348876953125), SC_(-6.480460592697476652284072277108613530788) }}, 
+      {{ SC_(-313.12744140625), SC_(-6.439759999015992467577771895808599408942) }}, 
+      {{ SC_(-311.6180419921875), SC_(-6.434927968512049412470577925892037200619) }}, 
+      {{ SC_(-303.40478515625), SC_(-6.408217734896572191669656774970329190625) }}, 
+      {{ SC_(-291.9320068359375), SC_(-6.369671035834964490622480119650197877027) }}, 
+      {{ SC_(-289.791015625), SC_(-6.362310184909174825124230502026784750431) }}, 
+      {{ SC_(-288.07568359375), SC_(-6.356373428913315483326002974850146028147) }}, 
+      {{ SC_(-282.76220703125), SC_(-6.337756593913613854161781726501299103316) }}, 
+      {{ SC_(-278.9659423828125), SC_(-6.3242400970614694374776334482330766038) }}, 
+      {{ SC_(-276.1881103515625), SC_(-6.314232650754295158800596164826483845909) }}, 
+      {{ SC_(-269.843994140625), SC_(-6.290994606392703105943420882029653368811) }}, 
+      {{ SC_(-256.47509765625), SC_(-6.240182555852785458496224304526376585373) }}, 
+      {{ SC_(-248.91619873046875), SC_(-6.210267503979360726887449195178911415313) }}, 
+      {{ SC_(-245.71783447265625), SC_(-6.197335184435549180000272192577714732671) }}, 
+      {{ SC_(-244.9049072265625), SC_(-6.194021350132334791819182281057947070343) }}, 
+      {{ SC_(-242.49176025390625), SC_(-6.184119163536405964259882205805060501935) }}, 
+      {{ SC_(-223.97491455078125), SC_(-6.104686221071835053635371385862353306867) }}, 
+      {{ SC_(-223.0770263671875), SC_(-6.100669325836893543736746195548392269128) }}, 
+      {{ SC_(-221.50177001953125), SC_(-6.093582856519022569016903564242082589239) }}, 
+      {{ SC_(-214.1610107421875), SC_(-6.059880750068793807232821057354816859259) }}, 
+      {{ SC_(-202.9705810546875), SC_(-6.006214296526251845395554109089589227751) }}, 
+      {{ SC_(-200.1683349609375), SC_(-5.992312107336994557313003250781997964749) }}, 
+      {{ SC_(-198.0869140625), SC_(-5.981859446096082920408103292664994574137) }}, 
+      {{ SC_(-191.8330078125), SC_(-5.949779216585290285138095990044779123562) }}, 
+      {{ SC_(-183.4495849609375), SC_(-5.905094497458789993605346377453537455651) }}, 
+      {{ SC_(-182.9005126953125), SC_(-5.90209701227578839648368537690039781634) }}, 
+      {{ SC_(-167.5517578125), SC_(-5.814448391006795100253762785669751772879) }}, 
+      {{ SC_(-162.87738037109375), SC_(-5.786154254111213380715127555746974140457) }}, 
+      {{ SC_(-159.6142578125), SC_(-5.765917008989404365321507899157382728927) }}, 
+      {{ SC_(-150.01629638671875), SC_(-5.703902219845273396365649927451080691209) }}, 
+      {{ SC_(-148.34051513671875), SC_(-5.69266895044603959347064515800579166058) }}, 
+      {{ SC_(-147.23760986328125), SC_(-5.685206387751923160853276372644826819905) }}, 
+      {{ SC_(-143.65484619140625), SC_(-5.660572815631807047475426769799365771506) }}, 
+      {{ SC_(-138.70599365234375), SC_(-5.625516713960632970798501811037458042606) }}, 
+      {{ SC_(-119.554168701171875), SC_(-5.476934234171878793825519703714137456694) }}, 
+      {{ SC_(-118.441558837890625), SC_(-5.467584665632571047898569146378815818543) }}, 
+      {{ SC_(-112.7041015625), SC_(-5.41793267560343365856590869885928647495) }}, 
+      {{ SC_(-111.430206298828125), SC_(-5.406565756574078635952822819651240567772) }}, 
+      {{ SC_(-107.772979736328125), SC_(-5.373195678988387579981120804358907493552) }}, 
+      {{ SC_(-107.6795654296875), SC_(-5.372328571218373638952712194621628880899) }}, 
+      {{ SC_(-105.091796875), SC_(-5.348004040102252742967063201190196082691) }}, 
+      {{ SC_(-101.261474609375), SC_(-5.310877589708960332430067923458969169195) }}, 
+      {{ SC_(-95.79150390625), SC_(-5.255348419702703704863588329233038165262) }}, 
+      {{ SC_(-91.26885986328125), SC_(-5.206986845736275651134721240774128212633) }}, 
+      {{ SC_(-87.33349609375), SC_(-5.162914035396618398952584430311544798966) }}, 
+      {{ SC_(-78.238739013671875), SC_(-5.052952927749896114494197793427686940384) }}, 
+      {{ SC_(-77.912353515625), SC_(-5.048772883924985058524898899156261070079) }}, 
+      {{ SC_(-76.83489990234375), SC_(-5.03484848764480888947313271747141240657) }}, 
+      {{ SC_(-61.255645751953125), SC_(-4.808269821238498732397629948430226353629) }}, 
+      {{ SC_(-54.4138031005859375), SC_(-4.689849459883310559788337051110370703783) }}, 
+      {{ SC_(-43.967193603515625), SC_(-4.476720236388958724591705984989483327501) }}, 
+      {{ SC_(-42.0108489990234375), SC_(-4.431216695067421800858619793836241888979) }}, 
+      {{ SC_(-30.609375), SC_(-4.114720236218123790586146467787932912866) }}, 
+      {{ SC_(-26.7111663818359375), SC_(-3.978579083165602241813343216612781617222) }}, 
+      {{ SC_(-25.2413177490234375), SC_(-3.922021583095348294972916890287113874009) }}, 
+      {{ SC_(-14.624359130859375), SC_(-3.377002632462029261128559390722023174755) }}, 
+      {{ SC_(-12.431087493896484375), SC_(-3.214961448471211148851788664569558466737) }}, 
+      {{ SC_(-10.235607147216796875), SC_(-3.021397455139020950019259089284989476735) }}, 
+      {{ SC_(-9.41094970703125), SC_(-2.937831931335705068892682801940661221814) }}, 
+      {{ SC_(-1.635939121246337890625), SC_(-1.267878515574958901161281414987746394126) }}, 
+      {{ SC_(0.165048140085555239409131900174543261528e-11), SC_(0.1650481400855552394091318252402434490969e-11) }}, 
+      {{ SC_(0.2065420751096169738048047292977571487427e-11), SC_(0.2065420751096169738048045824476195851805e-11) }}, 
+      {{ SC_(0.6933230031758164102484442992135882377625e-11), SC_(0.6933230031758164102484387445779249960378e-11) }}, 
+      {{ SC_(0.1335144494962747785393730737268924713135e-10), SC_(0.1335144494962747785393691069885154254178e-10) }}, 
+      {{ SC_(0.1639981206391638579589198343455791473389e-10), SC_(0.1639981206391638579589124830249793630233e-10) }}, 
+      {{ SC_(0.5730159402528300915946601890027523040771e-10), SC_(0.5730159402528300915943466086387879674642e-10) }}, 
+      {{ SC_(0.1113731329382972035091370344161987304688e-9), SC_(0.1113731329382972035089067894949093881495e-9) }}, 
+      {{ SC_(0.1421470718909745301061775535345077514648e-9), SC_(0.1421470718909745301056988545527660628072e-9) }}, 
+      {{ SC_(0.3800632031314421510614920407533645629883e-9), SC_(0.3800632031314421510523421433949182208556e-9) }}, 
+      {{ SC_(0.6091627202664540163823403418064117431641e-9), SC_(0.6091627202664540163446657373156062782485e-9) }}, 
+      {{ SC_(0.1022164131114777774200774729251861572266e-8), SC_(0.1022164131114777774022778557990306872369e-8) }}, 
+      {{ SC_(0.2881922256392499548383057117462158203125e-8), SC_(0.2881922256392499544393767813667092771012e-8) }}, 
+      {{ SC_(0.4762776839584148547146469354629516601563e-8), SC_(0.476277683958414852913996340565203355397e-8) }}, 
+      {{ SC_(0.8854133426439148024655878543853759765625e-8), SC_(0.8854133426439147908968245283871083240172e-8) }}, 
+      {{ SC_(0.2305032609228874207474291324615478515625e-7), SC_(0.2305032609228874003356918102983865074646e-7) }}, 
+      {{ SC_(0.593924909253473742865025997161865234375e-7), SC_(0.5939249092534733936898428443727569533982e-7) }}, 
+      {{ SC_(0.116676488914890796877443790435791015625e-6), SC_(0.1166764889148905321500984793498641255822e-6) }}, 
+      {{ SC_(0.23799674409019644372165203094482421875e-6), SC_(0.2379967440901941969351979802846104416105e-6) }}, 
+      {{ SC_(0.468465941594331525266170501708984375e-6), SC_(0.4684659415943143903171559983024977629855e-6) }}, 
+      {{ SC_(0.938269977268646471202373504638671875e-6), SC_(0.9382699772685088034539126253793231155849e-6) }}, 
+      {{ SC_(0.11039855962735600769519805908203125e-5), SC_(0.1103985596273335823585612314642277768255e-5) }}, 
+      {{ SC_(0.3291776010883040726184844970703125e-5), SC_(0.3291776010877095894302224300936487731914e-5) }}, 
+      {{ SC_(0.7517213816754519939422607421875e-5), SC_(0.7517213816683722188794989550887653607132e-5) }}, 
+      {{ SC_(0.1511466689407825469970703125e-4), SC_(0.1511466689350275580917503171217159502838e-4) }}, 
+      {{ SC_(0.2986399340443313121795654296875e-4), SC_(0.2986399339999405714013629488236926241004e-4) }}, 
+      {{ SC_(0.338702811859548091888427734375e-4), SC_(0.3387028117947883430533095948345065139191e-4) }}, 
+      {{ SC_(0.906601198948919773101806640625e-4), SC_(0.906601197706988351306957830965994124706e-4) }}, 
+      {{ SC_(0.0002194953267462551593780517578125), SC_(0.0002194953249837736286256750985648679367941) }}, 
+      {{ SC_(0.000439521507360041141510009765625), SC_(0.0004395214932089767739989257698158711437628) }}, 
+      {{ SC_(0.000633315183222293853759765625), SC_(0.0006333151408864353233898099984279240916971) }}, 
+      {{ SC_(0.0011151232756674289703369140625), SC_(0.001115123044558274291478926657905120008324) }}, 
+      {{ SC_(0.001962467096745967864990234375), SC_(0.001962465837080717523701980763915077400694) }}, 
+      {{ SC_(0.00555375404655933380126953125), SC_(0.005553725496786973429128982795141683132844) }}, 
+      {{ SC_(0.0086911283433437347412109375), SC_(0.008691018931968293864799414130929206833958) }}, 
+      {{ SC_(0.0299333631992340087890625), SC_(0.02992889492062483965221469264905787460865) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.05122020579778826952521305025815121247091) }}, 
+      {{ SC_(0.1120129525661468505859375), SC_(0.1117800293787827963417928974597546321371) }}, 
+      {{ SC_(0.23480379581451416015625), SC_(0.2326980652154337550758180136962670174127) }}, 
+      {{ SC_(0.48987305164337158203125), SC_(0.4721357117742938088066477027937692054202) }}, 
+      {{ SC_(0.7518312931060791015625), SC_(0.6946115711893359819020679952345318169567) }}, 
+      {{ SC_(1.6557407379150390625), SC_(1.278160734826225530236928993772347284054) }}, 
+      {{ SC_(3.59585666656494140625), SC_(1.991726234324511503262116200593118895023) }}, 
+      {{ SC_(3.66270542144775390625), SC_(2.009484184971721909158848583710336926639) }}, 
+      {{ SC_(4.14284515380859375), SC_(2.128787712416204967344704932367445907457) }}, 
+      {{ SC_(5.957065582275390625), SC_(2.484696793415547705602607297785951657088) }}, 
+      {{ SC_(10.890350341796875), SC_(3.083125584533294091723482211217314707631) }}, 
+      {{ SC_(27.3714599609375), SC_(4.002981567623351049359177787856924686562) }}, 
+      {{ SC_(29.58606719970703125), SC_(4.080736210902825878904303085045024018186) }}, 
+      {{ SC_(30.79753875732421875), SC_(4.12084543001111324730244006549246292804) }}, 
+      {{ SC_(38.7815704345703125), SC_(4.351258506393415652318140630603706518075) }}, 
+      {{ SC_(46.8814849853515625), SC_(4.540883728536112674069796475595291204506) }}, 
+      {{ SC_(47.21551513671875), SC_(4.547981853382592216976253569088895438026) }}, 
+      {{ SC_(47.2205810546875), SC_(4.548089117076700023837192332723136228729) }}, 
+      {{ SC_(49.7236175537109375), SC_(4.599728302509060806991933759403338520635) }}, 
+      {{ SC_(61.557464599609375), SC_(4.813184271185753146544327202950243752583) }}, 
+      {{ SC_(67.821624755859375), SC_(4.910082619934557664814376219665476353171) }}, 
+      {{ SC_(68.823638916015625), SC_(4.924747230639766605446150280099353765226) }}, 
+      {{ SC_(73.754669189453125), SC_(4.993937439635390959095430118863527649672) }}, 
+      {{ SC_(80.956695556640625), SC_(5.087099712053553781191118720872632390369) }}, 
+      {{ SC_(85.264068603515625), SC_(5.138934697019629394937832600298516485788) }}, 
+      {{ SC_(85.2677001953125), SC_(5.138977285472120998185283011836704311053) }}, 
+      {{ SC_(92.8238525390625), SC_(5.223879832616765332217842454967156441878) }}, 
+      {{ SC_(94.503570556640625), SC_(5.241812789460326774676763952219373084611) }}, 
+      {{ SC_(116.044677734375), SC_(5.447141014648796298911597081177174321311) }}, 
+      {{ SC_(123.775543212890625), SC_(5.511633288238573314525515498135556594256) }}, 
+      {{ SC_(132.3592529296875), SC_(5.578681289305597653175233933020307342597) }}, 
+      {{ SC_(139.7633056640625), SC_(5.633110296634630769495301352527335620124) }}, 
+      {{ SC_(143.9609375), SC_(5.662701238627724704458477126104574527542) }}, 
+      {{ SC_(146.31298828125), SC_(5.67890694100532316423025711195756179793) }}, 
+      {{ SC_(155.0980224609375), SC_(5.737214893086865588590011960998256979258) }}, 
+      {{ SC_(155.47784423828125), SC_(5.739660763047893353413979379888554852015) }}, 
+      {{ SC_(155.74066162109375), SC_(5.741349685869528141606229427222705529931) }}, 
+      {{ SC_(163.60546875), SC_(5.790614371552514063824117620171866397141) }}, 
+      {{ SC_(178.735107421875), SC_(5.879059869096351492478036425245903640013) }}, 
+      {{ SC_(179.70269775390625), SC_(5.884458728291027196042299574564237490922) }}, 
+      {{ SC_(179.81976318359375), SC_(5.885109945587401516601219374963261030511) }}, 
+      {{ SC_(181.3594970703125), SC_(5.893636014368935823237345043968331464439) }}, 
+      {{ SC_(194.82861328125), SC_(5.965274032538233309914029311001854910366) }}, 
+      {{ SC_(195.23284912109375), SC_(5.967346683696556361432840609074921098744) }}, 
+      {{ SC_(199.07666015625), SC_(5.986843466070591664424697234367005123532) }}, 
+      {{ SC_(205.77423095703125), SC_(6.019932686217941432444903969630541836634) }}, 
+      {{ SC_(206.04608154296875), SC_(6.021252909681260874009121058600710829746) }}, 
+      {{ SC_(209.36480712890625), SC_(6.037231102920488838374618484909263149999) }}, 
+      {{ SC_(210.703857421875), SC_(6.043606439928323259236771869386592943524) }}, 
+      {{ SC_(215.2139892578125), SC_(6.064785410115010353953388909263073452906) }}, 
+      {{ SC_(225.83892822265625), SC_(6.112974120371601210219399663570367666925) }}, 
+      {{ SC_(226.95465087890625), SC_(6.117902255760310722524206309196088056026) }}, 
+      {{ SC_(232.79864501953125), SC_(6.143325688959409019088830019463644651492) }}, 
+      {{ SC_(240.647216796875), SC_(6.176483527820343060796486861138751990657) }}, 
+      {{ SC_(243.1324462890625), SC_(6.186757751007361577528719065211514303001) }}, 
+      {{ SC_(251.26702880859375), SC_(6.219667373726848075772693817688242362523) }}, 
+      {{ SC_(253.72906494140625), SC_(6.22941808808355428724031065923268579187) }}, 
+      {{ SC_(254.6866455078125), SC_(6.233184983047428276974209254934385269649) }}, 
+      {{ SC_(257.2001953125), SC_(6.243005711460191965779748682542918291165) }}, 
+      {{ SC_(257.7401123046875), SC_(6.245102704489326829989715358050375153164) }}, 
+      {{ SC_(261.731201171875), SC_(6.260468857392133508067336988271711266899) }}, 
+      {{ SC_(263.75), SC_(6.268152459140511369534885468430435001253) }}, 
+      {{ SC_(265.5167236328125), SC_(6.27482855458316535698354618677862660051) }}, 
+      {{ SC_(273.9171142578125), SC_(6.305976070434008107321296347063621346142) }}, 
+      {{ SC_(278.897705078125), SC_(6.323995460699820076921115676535829705602) }}, 
+      {{ SC_(279.167236328125), SC_(6.324961403980196616927106861416582346957) }}, 
+      {{ SC_(292.207275390625), SC_(6.370613506132747051155136954016356169709) }}, 
+      {{ SC_(293.5975341796875), SC_(6.375359978930308922973172601759003753776) }}, 
+      {{ SC_(293.9749755859375), SC_(6.37664472001459930030121377025213179339) }}, 
+      {{ SC_(295.1998291015625), SC_(6.380802563199264354475951774362027757146) }}, 
+      {{ SC_(297.2799072265625), SC_(6.387824152942428878634062028172724987619) }}, 
+      {{ SC_(297.9285888671875), SC_(6.390003820200830500292592492268074658657) }}, 
+      {{ SC_(298.1058349609375), SC_(6.390598568067900196600610103133530143627) }}, 
+      {{ SC_(300.2803955078125), SC_(6.397866642974941387667911791807820745523) }}, 
+      {{ SC_(307.531005859375), SC_(6.421725738171607321147138767579512701297) }}, 
+      {{ SC_(308.1754150390625), SC_(6.423818963102848059254801023392818581651) }}, 
+      {{ SC_(309.7344970703125), SC_(6.42886525591175973950489819292419777646) }}, 
+      {{ SC_(314.2847900390625), SC_(6.443449261058926842539512498259875923692) }}, 
+      {{ SC_(314.7236328125), SC_(6.444844602076255234209250709648120853169) }}, 
+      {{ SC_(320.8406982421875), SC_(6.464094341970106436820739729174428145587) }}, 
+      {{ SC_(321.2459716796875), SC_(6.465356699668166045068069215854964871388) }}, 
+      {{ SC_(321.9031982421875), SC_(6.467400466944124604717633061439316010097) }}, 
+      {{ SC_(323.457763671875), SC_(6.472218114936839319482664927965675017022) }}, 
+      {{ SC_(330.82861328125), SC_(6.494749921382326159049677218709809728653) }}, 
+      {{ SC_(335.008544921875), SC_(6.507305446835735629461798195367913785079) }}, 
+      {{ SC_(340.7171630859375), SC_(6.52420203343567514995053263208100130883) }}, 
+      {{ SC_(348.4677734375), SC_(6.546694993078936223411278280975538973745) }}, 
+      {{ SC_(349.1292724609375), SC_(6.548591493378012538030220208753185699103) }}, 
+      {{ SC_(372.4288330078125), SC_(6.613194950203131899741436452253747959432) }}, 
+      {{ SC_(376.7574462890625), SC_(6.624750543633906159543027563737013064495) }}, 
+      {{ SC_(378.4306640625), SC_(6.629181796246806383589594972543857520438) }}, 
+      {{ SC_(390.9031982421875), SC_(6.661608771130218794653929942801159149921) }}, 
+      {{ SC_(405.7918701171875), SC_(6.698989091751706872771950506377356853297) }}, 
+      {{ SC_(407.3646240234375), SC_(6.702857353572475083661986001523177171689) }}, 
+      {{ SC_(413.3758544921875), SC_(6.717505881986416333938861696792809072989) }}, 
+      {{ SC_(415.7354736328125), SC_(6.723197804327891152771611004762978333262) }}, 
+      {{ SC_(417.193603515625), SC_(6.726699007993022779613295744938090059081) }}, 
+      {{ SC_(420.874755859375), SC_(6.735483889307782773060913517308358177287) }}, 
+      {{ SC_(429.2635498046875), SC_(6.755219602793124098109976875531119009337) }}, 
+      {{ SC_(429.756103515625), SC_(6.756366380816258251898421006493740831209) }}, 
+      {{ SC_(433.9931640625), SC_(6.766177290841292993057892254025351144187) }}, 
+      {{ SC_(434.0106201171875), SC_(6.766217511883345263895227495273810179399) }}, 
+      {{ SC_(440.073974609375), SC_(6.780091308338912469861271641540800609593) }}, 
+      {{ SC_(450.2220458984375), SC_(6.802889310303153472760070274877750654792) }}, 
+      {{ SC_(455.017578125), SC_(6.813484439494547291485100306142865313692) }}, 
+      {{ SC_(457.1668701171875), SC_(6.818196843455478403993903909497663695391) }}, 
+      {{ SC_(457.5068359375), SC_(6.818940201487998386877795327256997263141) }}, 
+      {{ SC_(459.2913818359375), SC_(6.822833193143804950038640831090638344206) }}, 
+      {{ SC_(459.492431640625), SC_(6.823270835445770195995146570284994476855) }}, 
+      {{ SC_(459.743896484375), SC_(6.823817951018000432957797403476399271545) }}, 
+      {{ SC_(464.888427734375), SC_(6.834945773756887582002201745232432180165) }}, 
+      {{ SC_(464.96630859375), SC_(6.835113285253827054382848168952118996735) }}, 
+      {{ SC_(467.6949462890625), SC_(6.840964582694129262617973631406633110533) }}, 
+      {{ SC_(468.86767578125), SC_(6.843468905210339769583953244362473799296) }}, 
+      {{ SC_(470.5927734375), SC_(6.847141429556456346098564888170408445454) }}, 
+      {{ SC_(481.109619140625), SC_(6.869243403190376592226057897975831923528) }}, 
+      {{ SC_(487.4595947265625), SC_(6.882355637062963925878474710879054534122) }}, 
+      {{ SC_(488.521484375), SC_(6.884531678915821025400961463061609241284) }}, 
+      {{ SC_(492.8812255859375), SC_(6.893416432937340181639026008051884214636) }}, 
+      {{ SC_(494.0684814453125), SC_(6.895822338701104787981876142689381248646) }}, 
+      {{ SC_(496.4613037109375), SC_(6.900653737167637608469868350257964416187) }}, 
+      {{ SC_(716.154052734375), SC_(7.2670429692740963323840103680788401489) }}, 
+      {{ SC_(1799.92578125), SC_(8.18864796812207220842639194214816612374) }}, 
+      {{ SC_(3564.845703125), SC_(8.872023251113288479644702153534943187411) }}, 
+      {{ SC_(7139.869140625), SC_(9.566596912986166722124065953497502737374) }}, 
+      {{ SC_(12081.22265625), SC_(10.09255486190560839163513867694963651638) }}, 
+      {{ SC_(22810.2421875), SC_(10.72811211386442708825132311411659945728) }}, 
+      {{ SC_(46598.96875), SC_(11.44248087071561781484413254045580909559) }}, 
+      {{ SC_(108493.375), SC_(12.2875915707717694181967755881243802905) }}, 
+      {{ SC_(153860.8125), SC_(12.63695083834421849044542638165059455958) }}, 
+      {{ SC_(307019.5), SC_(13.32781372303006380727775468144124321804) }}, 
+      {{ SC_(682577.25), SC_(14.12677816700977652906247822629132152831) }}, 
+      {{ SC_(1788919.0), SC_(15.09026926533497056732451999718664988024) }}, 
+      {{ SC_(3769169.0), SC_(15.83551229128394411859348316953904317643) }}, 
+      {{ SC_(4327820.0), SC_(15.97372168955474121405849637207319473463) }}, 
+      {{ SC_(11044024.0), SC_(16.91054720571544732784968725481341574805) }}, 
+      {{ SC_(21423208.0), SC_(17.57313255890322504472542433762806340181) }}, 
+      {{ SC_(62828288.0), SC_(18.64906315643796382994112822618240813581) }}, 
+      {{ SC_(70207360.0), SC_(18.7601108873651530393019317938988457707) }}, 
+      {{ SC_(154231424.0), SC_(19.54711196618087428636344348941647974165) }}, 
+      {{ SC_(294509056.0), SC_(20.1939674915675244205666343569672677746) }}, 
+      {{ SC_(1070557184.0), SC_(21.48459226315622322979093631189365864251) }}, 
+      {{ SC_(1957922816.0), SC_(22.08829714102155481686957732827526425736) }}, 
+      {{ SC_(3912507392.0), SC_(22.78059146269991677250675041832419710247) }}, 
+      {{ SC_(7279233024.0), SC_(23.40143852031869095098313030835785443555) }}, 
+      {{ SC_(9665245184.0), SC_(23.68494949808078517275225570625127768937) }}, 
+      {{ SC_(22627590144.0), SC_(24.53558298204260156687347955127694595939) }}, 
+      {{ SC_(60601991168.0), SC_(25.52074076759958328225601044752066239618) }}, 
+      {{ SC_(134018236416.0), SC_(26.31438890085421876104087786768111623882) }}, 
+      {{ SC_(204864946176.0), SC_(26.73876398039978985836947169876252884996) }}, 
+      {{ SC_(284346286080.0), SC_(27.06660583008717947194092254982253381033) }}, 
+      {{ SC_(914576637952.0), SC_(28.23487428494463574299686107465880501208) }}, 
+      {{ SC_(1581915832320.0), SC_(28.7828049610810604762091293247739091717) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/asinh_test.hpp b/src/boost/libs/math/test/asinh_test.hpp
new file mode 100644
index 000000000..98aa55576
--- /dev/null
+++ b/src/boost/libs/math/test/asinh_test.hpp
@@ -0,0 +1,100 @@
+// unit test file asinh.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+
+#define BOOST_TEST_MAiN
+#include <boost/math/special_functions/asinh.hpp>
+
+
+#include <boost/test/unit_test.hpp>
+
+
+template<typename T>
+T    asinh_error_evaluator(T x)
+{
+    using    ::std::abs;
+    using    ::std::sinh;
+    using    ::std::cosh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::asinh;
+    
+    
+    static T const    epsilon = numeric_limits<float>::epsilon();
+    
+    T                y = sinh(x);
+    T                z = asinh(y);
+    
+    T                absolute_error = abs(z-x);
+    T                relative_error = absolute_error*cosh(x);
+    T                scaled_error = relative_error/epsilon;
+    
+    return(scaled_error);
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(asinh_test, T)
+{
+    BOOST_TEST_MESSAGE("Testing asinh in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    for    (int i = 0; i <= 80; i++)
+    {
+        T    x = static_cast<T>(i-40)/static_cast<T>(4);
+        
+        BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+            (asinh_error_evaluator(x))
+            (static_cast<T>(4)));
+    }
+    //
+    // Special cases:
+    //
+    if(std::numeric_limits<T>::has_infinity)
+    {
+       T inf = std::numeric_limits<T>::infinity();
+       boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::ignore_error> > pol;
+       BOOST_CHECK_EQUAL(boost::math::asinh(inf, pol), inf);
+       BOOST_CHECK_EQUAL(boost::math::asinh(-inf, pol), -inf);
+    }
+}
+
+
+void    asinh_manual_check()
+{
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("asinh");
+    
+    for    (int i = 0; i <= 80; i++)
+    {
+        float        xf = static_cast<float>(i-40)/static_cast<float>(4);
+        double       xd = static_cast<double>(i-40)/static_cast<double>(4);
+        long double  xl =
+                static_cast<long double>(i-40)/static_cast<long double>(4);
+        
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << asinh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << asinh_error_evaluator(xd)
+                     << ::std::setw(15)
+                     << asinh_error_evaluator(xl));
+#else
+        BOOST_TEST_MESSAGE(  ::std::setw(15)
+                     << asinh_error_evaluator(xf)
+                     << ::std::setw(15)
+                     << asinh_error_evaluator(xd));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
diff --git a/src/boost/libs/math/test/assoc_legendre_p.ipp b/src/boost/libs/math/test/assoc_legendre_p.ipp
new file mode 100644
index 000000000..ed9f0ac1f
--- /dev/null
+++ b/src/boost/libs/math/test/assoc_legendre_p.ipp
@@ -0,0 +1,408 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 400> assoc_legendre_p = {{
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.264718532562255859375), SC_(0.018682285998021253444483874168352748715136623066073) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.67001712322235107421875), SC_(0.0085227010576716344744906184676725516467064196759033) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.91501367092132568359375), SC_(0.0013678553914178941694232605088191864494205442141689) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.93538987636566162109375), SC_(0.00092121779437596438014780141399846622556782069609554) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(-0.804919183254241943359375), SC_(-0.035427019537072229468317544697039851719910785732282) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(-0.62323606014251708984375), SC_(-0.047644590452413896385001513687947050090798484234256) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.62944734096527099609375), SC_(0.047507226872528274797147731134568104938153965122183) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.92977702617645263671875), SC_(0.015749804707019642230489140711548190498803023729124) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.98576259613037109375), SC_(0.0034836978383022116191949923980075709550874307751656) }}, 
+      {{ SC_(3.755727291107177734375), SC_(-1.0), SC_(0.09376299381256103515625), SC_(-0.11897883801786023759113449248494493928619190467444) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(-0.72904598712921142578125), SC_(0.12483445078630286253952851342405305778981983166886) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.0944411754608154296875), SC_(-0.13955592906053357908142302859499928047171124489978) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.826751708984375), SC_(0.1726224256643575927228084765374660491943359375) }}, 
+      {{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.99292266368865966796875), SC_(0.95791076106518834501582130387317692843396343960194) }}, 
+      {{ SC_(3.755727291107177734375), SC_(1.0), SC_(-0.5579319000244140625), SC_(-0.69267329476836900305232758748436796165065650726706) }}, 
+      {{ SC_(3.755727291107177734375), SC_(1.0), SC_(-0.38366591930389404296875), SC_(0.36569809882896106974883774476288881583212189972924) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(-0.74602639675140380859375), SC_(-4.9623208282269009166469230084559050020232007227605) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(-0.44300353527069091796875), SC_(-5.340947203111010720410977109344485835862315070699) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(0.81158387660980224609375), SC_(4.1552884837362426955817673026802316904593226354336) }}, 
+      {{ SC_(3.755727291107177734375), SC_(2.0), SC_(0.93773555755615234375), SC_(1.6970953962729668417983019956807311245938763022423) }}, 
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+      {{ SC_(19.87186431884765625), SC_(4.0), SC_(0.81158387660980224609375), SC_(27998.376863739953480856174913557597864204862111517) }}, 
+      {{ SC_(19.87186431884765625), SC_(6.0), SC_(-0.74602639675140380859375), SC_(-3988947.6757273109841392288902418535673497942678044) }}, 
+      {{ SC_(19.87186431884765625), SC_(6.0), SC_(0.91501367092132568359375), SC_(17207577.76868430351907141387711761936487111245407) }}, 
+      {{ SC_(19.87186431884765625), SC_(8.0), SC_(-0.5579319000244140625), SC_(-2880999408.1753053515439782739761895146097466930431) }}, 
+      {{ SC_(19.87186431884765625), SC_(10.0), SC_(-0.38366591930389404296875), SC_(-250811038036.64016980933046385373956183195852302589) }}, 
+      {{ SC_(19.87186431884765625), SC_(11.0), SC_(0.99292266368865966796875), SC_(-4956548.0008289171017772512361059049573500136580832) }}, 
+      {{ SC_(19.87186431884765625), SC_(12.0), SC_(-0.62323606014251708984375), SC_(-106590833899905.54371031227921841065877625515491286) }}, 
+      {{ SC_(19.87186431884765625), SC_(12.0), SC_(-0.44300353527069091796875), SC_(164377317484172.780269767864581766622776515649156) }}, 
+      {{ SC_(19.87186431884765625), SC_(18.0), SC_(-0.72904598712921142578125), SC_(-6500249695425848422.6994934374150447524907522260626) }}, 
+      {{ SC_(19.87186431884765625), SC_(18.0), SC_(0.826751708984375), SC_(215957040146103710.43752878136972484271174243226819) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-19.0), SC_(-0.5579319000244140625), SC_(0.4536209533748046856223356436528310434693264815516e-24) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-19.0), SC_(0.264718532562255859375), SC_(0.78629720841879126459468443827603688509992408472136e-23) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-17.0), SC_(-0.44300353527069091796875), SC_(0.58251104165678394898744857711146365095314417691743e-21) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-16.0), SC_(-0.62323606014251708984375), SC_(-0.29751304424052425636113962115386812591456175870573e-20) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-14.0), SC_(0.91501367092132568359375), SC_(0.12709748787166211089363084338252308414817659872819e-20) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-14.0), SC_(0.92977702617645263671875), SC_(0.3871138758064428596131493508699859591733838577277e-21) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-12.0), SC_(0.93773555755615234375), SC_(0.89408958662499196674261505271428146255253342324884e-18) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-11.0), SC_(-0.38366591930389404296875), SC_(0.26026063256932547239295328669255586707226242612148e-14) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-10.0), SC_(-0.74602639675140380859375), SC_(-0.34765506905243672613499520824866410956137457719745e-13) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-10.0), SC_(0.81158387660980224609375), SC_(0.63172556307492864748930303721096827403984649074523e-13) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-4.0), SC_(0.0944411754608154296875), SC_(-0.12660004211205826580535251463738122438007427377005e-5) }}, 
+      {{ SC_(19.9363040924072265625), SC_(-4.0), SC_(0.62944734096527099609375), SC_(-0.54962149013781842129875877015678395599272910286725e-6) }}, 
+      {{ SC_(19.9363040924072265625), SC_(2.0), SC_(0.09376299381256103515625), SC_(66.642893417106666543810431512449143935500286088633) }}, 
+      {{ SC_(19.9363040924072265625), SC_(3.0), SC_(0.99292266368865966796875), SC_(-1337.0443049910513329145515282976202263100750256813) }}, 
+      {{ SC_(19.9363040924072265625), SC_(8.0), SC_(0.826751708984375), SC_(3010989900.8893375803525358367041329372033717978545) }}, 
+      {{ SC_(19.9363040924072265625), SC_(10.0), SC_(-0.72904598712921142578125), SC_(-451944141173.12209414901560544187498153708108846852) }}, 
+      {{ SC_(19.9363040924072265625), SC_(11.0), SC_(0.67001712322235107421875), SC_(-3818836562168.0063397346459855637481748033411304683) }}, 
+      {{ SC_(19.9363040924072265625), SC_(13.0), SC_(0.98576259613037109375), SC_(-555684705.08358775884287423663622045616768375133224) }}, 
+      {{ SC_(19.9363040924072265625), SC_(15.0), SC_(-0.804919183254241943359375), SC_(-43129486142739936.248977475359797313525493031517393) }}, 
+      {{ SC_(19.9363040924072265625), SC_(19.0), SC_(0.93538987636566162109375), SC_(-21677629202869.188161110548407561929925083445523615) }}
+   }};
+
diff --git a/src/boost/libs/math/test/atanh_data.ipp b/src/boost/libs/math/test/atanh_data.ipp
new file mode 100644
index 000000000..11d89d408
--- /dev/null
+++ b/src/boost/libs/math/test/atanh_data.ipp
@@ -0,0 +1,272 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 260> atanh_data = {{
+      {{ SC_(-0.9999983310699462890625), SC_(-6.998237084679026894944012639589359039154) }}, 
+      {{ SC_(-0.9999978542327880859375), SC_(-6.872579751329170618373487147465365112113) }}, 
+      {{ SC_(-0.999992847442626953125), SC_(-6.270592097465752658938563627507298840894) }}, 
+      {{ SC_(-0.999986171722412109375), SC_(-5.94096761408481303343713262973790932529) }}, 
+      {{ SC_(-0.9999828338623046875), SC_(-5.832855225378502201556044619092381320613) }}, 
+      {{ SC_(-0.99993991851806640625), SC_(-5.206463012087559958576821359878019831698) }}, 
+      {{ SC_(-0.9998834133148193359375), SC_(-4.874982184181078415951979525893507005727) }}, 
+      {{ SC_(-0.9998509883880615234375), SC_(-4.752279497280337973604777810710354182427) }}, 
+      {{ SC_(-0.9996016025543212890625), SC_(-4.260504202858904159948511594799808172686) }}, 
+      {{ SC_(-0.9993612766265869140625), SC_(-4.024433435320311666223352267171267188441) }}, 
+      {{ SC_(-0.9989283084869384765625), SC_(-3.765564108299923386710499391156429825334) }}, 
+      {{ SC_(-0.996978282928466796875), SC_(-3.246782610980921221976121268600437559073) }}, 
+      {{ SC_(-0.9950058460235595703125), SC_(-2.995067117994093910327278839368162513171) }}, 
+      {{ SC_(-0.9942638874053955078125), SC_(-2.925624274960953689217686505461794222524) }}, 
+      {{ SC_(-0.9907157421112060546875), SC_(-2.683964628330836423435761449812536808992) }}, 
+      {{ SC_(-0.990334033966064453125), SC_(-2.663723350226517894297444398633783948406) }}, 
+      {{ SC_(-0.9760982990264892578125), SC_(-2.207464998348322224447911930881940831481) }}, 
+      {{ SC_(-0.975830078125), SC_(-2.201817459680555978821333155035293326746) }}, 
+      {{ SC_(-0.972824573516845703125), SC_(-2.142454230829143642120980722087236052917) }}, 
+      {{ SC_(-0.964355945587158203125), SC_(-2.004668675602091699628236313728557407114) }}, 
+      {{ SC_(-0.9377224445343017578125), SC_(-1.718833734617706500332405835370646660471) }}, 
+      {{ SC_(-0.936240673065185546875), SC_(-1.706694048256515431631815885672233674251) }}, 
+      {{ SC_(-0.9310147762298583984375), SC_(-1.665954300553314591750124550883856364694) }}, 
+      {{ SC_(-0.9284839630126953125), SC_(-1.647283871876074775612635961977408037529) }}, 
+      {{ SC_(-0.92702484130859375), SC_(-1.636806734088156154435563850211913111601) }}, 
+      {{ SC_(-0.907566547393798828125), SC_(-1.513547347731111539787447924356304439238) }}, 
+      {{ SC_(-0.8974773883819580078125), SC_(-1.45909860863314960721683880733144126731) }}, 
+      {{ SC_(-0.89201068878173828125), SC_(-1.431681573516303182182852281763191690617) }}, 
+      {{ SC_(-0.87765598297119140625), SC_(-1.365471286049011032989426113780315638737) }}, 
+      {{ SC_(-0.864722728729248046875), SC_(-1.31177055834445394659795622633703969998) }}, 
+      {{ SC_(-0.8482067584991455078125), SC_(-1.249725893334944048400811976134680437019) }}, 
+      {{ SC_(-0.805655956268310546875), SC_(-1.114524602859225810626832366034868507092) }}, 
+      {{ SC_(-0.8048388957977294921875), SC_(-1.112200609756455010839566277837214844325) }}, 
+      {{ SC_(-0.780198574066162109375), SC_(-1.045877833082255648218230662475846475501) }}, 
+      {{ SC_(-0.774993419647216796875), SC_(-1.032711173436253036051634900441573817364) }}, 
+      {{ SC_(-0.761928558349609375), SC_(-1.000796728136218508274740551519944314059) }}, 
+      {{ SC_(-0.7504425048828125), SC_(-0.9739672824457071545212558891424185128762) }}, 
+      {{ SC_(-0.7495596408843994140625), SC_(-0.9719492983286864197920761015664283271976) }}, 
+      {{ SC_(-0.7481319904327392578125), SC_(-0.9686989420144869980652193388237565424316) }}, 
+      {{ SC_(-0.7459518909454345703125), SC_(-0.9637657636705832060477647484529718099027) }}, 
+      {{ SC_(-0.740113735198974609375), SC_(-0.9507308314464193446531653906278264445993) }}, 
+      {{ SC_(-0.7289731502532958984375), SC_(-0.926532531986765318247140551363667818701) }}, 
+      {{ SC_(-0.7226788997650146484375), SC_(-0.9132299082876395943553155758462776294309) }}, 
+      {{ SC_(-0.7161557674407958984375), SC_(-0.8997082193533088241452821117641146130759) }}, 
+      {{ SC_(-0.7017018795013427734375), SC_(-0.8706453720344795324137713806233471643566) }}, 
+      {{ SC_(-0.7013418674468994140625), SC_(-0.869936501309450037837255615527206388543) }}, 
+      {{ SC_(-0.6910541057586669921875), SC_(-0.8499705913361888274674607430873352657984) }}, 
+      {{ SC_(-0.6847054958343505859375), SC_(-0.8379194558420050243680161679293990119402) }}, 
+      {{ SC_(-0.683816432952880859375), SC_(-0.8362476144993315210191634049830735329595) }}, 
+      {{ SC_(-0.6747090816497802734375), SC_(-0.8193374156276963181623971413078624527231) }}, 
+      {{ SC_(-0.6575610637664794921875), SC_(-0.7885046044142132636244565971148537710756) }}, 
+      {{ SC_(-0.6522045135498046875), SC_(-0.7791255597799838714478027675042210151575) }}, 
+      {{ SC_(-0.6261923313140869140625), SC_(-0.7351275788820003190814567583601297864281) }}, 
+      {{ SC_(-0.62317371368408203125), SC_(-0.7301771459970386661436038123301221899899) }}, 
+      {{ SC_(-0.6067488193511962890625), SC_(-0.703759752613062694606340098389939027562) }}, 
+      {{ SC_(-0.583805561065673828125), SC_(-0.6682166303197607887197770868026216259119) }}, 
+      {{ SC_(-0.57952404022216796875), SC_(-0.6617457665293066615721543987931600748293) }}, 
+      {{ SC_(-0.5760939121246337890625), SC_(-0.6565964588573980673410012745962406194225) }}, 
+      {{ SC_(-0.56546783447265625), SC_(-0.6408350116350283247012343252539212893332) }}, 
+      {{ SC_(-0.557876110076904296875), SC_(-0.6297442839791668262390512924219530985196) }}, 
+      {{ SC_(-0.552320957183837890625), SC_(-0.6217149641475686188387285842099747744544) }}, 
+      {{ SC_(-0.5396339893341064453125), SC_(-0.6036390747171697770925487100621985766607) }}, 
+      {{ SC_(-0.512898921966552734375), SC_(-0.566655625606477066963814924576009526094) }}, 
+      {{ SC_(-0.5087778568267822265625), SC_(-0.5610793900942041010450981003401240686441) }}, 
+      {{ SC_(-0.49778258800506591796875), SC_(-0.5463539505715040435095828997881628670016) }}, 
+      {{ SC_(-0.49138653278350830078125), SC_(-0.5378865967606702825309467710240853062652) }}, 
+      {{ SC_(-0.48976075649261474609375), SC_(-0.5357455496477737185521806219611537015446) }}, 
+      {{ SC_(-0.4849350452423095703125), SC_(-0.5294166456244710849865087993139911130393) }}, 
+      {{ SC_(-0.447905063629150390625), SC_(-0.4820764946679978939347292302681479739796) }}, 
+      {{ SC_(-0.4461095333099365234375), SC_(-0.4798325976916710897104638200930521631286) }}, 
+      {{ SC_(-0.442959308624267578125), SC_(-0.4759065337156127733780647024545262009008) }}, 
+      {{ SC_(-0.4282791614532470703125), SC_(-0.4577873936293679104616687959332340265949) }}, 
+      {{ SC_(-0.40590059757232666015625), SC_(-0.4306933608076878743806295938648362982359) }}, 
+      {{ SC_(-0.40029656887054443359375), SC_(-0.4240020382545707218942432038948084774496) }}, 
+      {{ SC_(-0.3961341381072998046875), SC_(-0.4190551379319939121143095387765817810309) }}, 
+      {{ SC_(-0.38362753391265869140625), SC_(-0.4043062717590873607565891081374512836717) }}, 
+      {{ SC_(-0.3668625354766845703125), SC_(-0.3847928551425506989844364335805100378916) }}, 
+      {{ SC_(-0.36576449871063232421875), SC_(-0.383524642274593405044354917396013672621) }}, 
+      {{ SC_(-0.33507001399993896484375), SC_(-0.3485286317501441759395903809820783149922) }}, 
+      {{ SC_(-0.325722217559814453125), SC_(-0.3380352468276521988337991305273476357259) }}, 
+      {{ SC_(-0.3191967010498046875), SC_(-0.3307524237890151189189282578009246778706) }}, 
+      {{ SC_(-0.300002574920654296875), SC_(-0.3095224337886502772553678318463405679109) }}, 
+      {{ SC_(-0.296651363372802734375), SC_(-0.3058438250228024929192737081479944125667) }}, 
+      {{ SC_(-0.2944457530975341796875), SC_(-0.3034271164344304639271762476267134487006) }}, 
+      {{ SC_(-0.287281036376953125), SC_(-0.2956001834724682534366346933530868053292) }}, 
+      {{ SC_(-0.277384281158447265625), SC_(-0.2848460820316943671684268151981802822583) }}, 
+      {{ SC_(-0.239084422588348388671875), SC_(-0.2438028008332661157406055005411967471601) }}, 
+      {{ SC_(-0.23685944080352783203125), SC_(-0.2414442516939151847702918137086915005926) }}, 
+      {{ SC_(-0.2253856658935546875), SC_(-0.2293228153248167922436892209184552796457) }}, 
+      {{ SC_(-0.222838103771209716796875), SC_(-0.2266405306474514216815783549721039495306) }}, 
+      {{ SC_(-0.2155244350433349609375), SC_(-0.2189577360114399508892266906786141753798) }}, 
+      {{ SC_(-0.215337574481964111328125), SC_(-0.2187617810795299603977983273974692894269) }}, 
+      {{ SC_(-0.210162580013275146484375), SC_(-0.213341433207717363756996669992890635922) }}, 
+      {{ SC_(-0.202502727508544921875), SC_(-0.2053409277979887156428422481476167713845) }}, 
+      {{ SC_(-0.1915638446807861328125), SC_(-0.1939600847413307517360830799803393191118) }}, 
+      {{ SC_(-0.182519435882568359375), SC_(-0.1845877143932293893050297021219967479454) }}, 
+      {{ SC_(-0.1746494770050048828125), SC_(-0.1764584460861806768647912839605350112421) }}, 
+      {{ SC_(-0.15646183490753173828125), SC_(-0.1577576667718915543508871956214699612414) }}, 
+      {{ SC_(-0.155809104442596435546875), SC_(-0.1570886262196417664166148374546893502577) }}, 
+      {{ SC_(-0.15365445613861083984375), SC_(-0.1548811251554959173309605263848373765859) }}, 
+      {{ SC_(-0.1224990189075469970703125), SC_(-0.1231173360990485154969499505998906050858) }}, 
+      {{ SC_(-0.1088167130947113037109375), SC_(-0.1092492929673783678150776545155488162838) }}, 
+      {{ SC_(-0.0879255831241607666015625), SC_(-0.08815322150790301444935652020860591175639) }}, 
+      {{ SC_(-0.084013283252716064453125), SC_(-0.08421178632314607700273933837777975783955) }}, 
+      {{ SC_(-0.06121261417865753173828125), SC_(-0.06128924075509795947903082912344529497771) }}, 
+      {{ SC_(-0.0534169971942901611328125), SC_(-0.05346789060550385741248960046699294299987) }}, 
+      {{ SC_(-0.0504775941371917724609375), SC_(-0.0505205318923802872873054309617566051014) }}, 
+      {{ SC_(-0.029245793819427490234375), SC_(-0.02925413623733265658295603323356445573956) }}, 
+      {{ SC_(-0.024859689176082611083984375), SC_(-0.02486481220617492008704879514284669118942) }}, 
+      {{ SC_(-0.02046917378902435302734375), SC_(-0.02047203328100153078698678836073163016822) }}, 
+      {{ SC_(-0.0188200175762176513671875), SC_(-0.01882224002175634892911631496693598606876) }}, 
+      {{ SC_(-0.01615250110626220703125), SC_(-0.01615390607310920464304141890191065645265) }}, 
+      {{ SC_(-0.003271550871431827545166015625), SC_(-0.003271562543358962122360602166863449874156) }}, 
+      {{ SC_(0.165048140085555239409131900174543261528e-11), SC_(0.1650481400855552394091320500431428863902e-11) }}, 
+      {{ SC_(0.2065420751096169738048047292977571487427e-11), SC_(0.206542075109616973804805022998032275867e-11) }}, 
+      {{ SC_(0.6933230031758164102484442992135882377625e-11), SC_(0.6933230031758164102484554084849147212117e-11) }}, 
+      {{ SC_(0.1335144494962747785393730737268924713135e-10), SC_(0.1335144494962747785393810072036465631048e-10) }}, 
+      {{ SC_(0.1639981206391638579589198343455791473389e-10), SC_(0.16399812063916385795893453698677871597e-10) }}, 
+      {{ SC_(0.5730159402528300915946601890027523040771e-10), SC_(0.573015940252830091595287349730680977303e-10) }}, 
+      {{ SC_(0.1113731329382972035091370344161987304688e-9), SC_(0.1113731329382972035095975242587774151074e-9) }}, 
+      {{ SC_(0.1421470718909745301061775535345077514648e-9), SC_(0.1421470718909745301071349514979911287802e-9) }}, 
+      {{ SC_(0.3800632031314421510614920407533645629883e-9), SC_(0.3800632031314421510797918354702572472565e-9) }}, 
+      {{ SC_(0.6091627202664540163823403418064117431641e-9), SC_(0.6091627202664540164576895507880226730245e-9) }}, 
+      {{ SC_(0.1022164131114777774200774729251861572266e-8), SC_(0.1022164131114777774556767071774970972449e-8) }}, 
+      {{ SC_(0.2881922256392499548383057117462158203125e-8), SC_(0.288192225639249955636163572505228913693e-8) }}, 
+      {{ SC_(0.4762776839584148547146469354629516601563e-8), SC_(0.4762776839584148583159481252584483554515e-8) }}, 
+      {{ SC_(0.8854133426439148024655878543853759765625e-8), SC_(0.8854133426439148256031145063819131862293e-8) }}, 
+      {{ SC_(0.2305032609228874207474291324615478515625e-7), SC_(0.2305032609228874615709037767878933144975e-7) }}, 
+      {{ SC_(0.593924909253473742865025997161865234375e-7), SC_(0.5939249092534744412153923027426683753111e-7) }}, 
+      {{ SC_(0.116676488914890796877443790435791015625e-6), SC_(0.1166764889148913263321344126152128598244e-6) }}, 
+      {{ SC_(0.23799674409019644372165203094482421875e-6), SC_(0.2379967440902009372945601325325051016678e-6) }}, 
+      {{ SC_(0.468465941594331525266170501708984375e-6), SC_(0.4684659415943657951641995164188851895468e-6) }}, 
+      {{ SC_(0.938269977268646471202373504638671875e-6), SC_(0.9382699772689218066992955176687134214945e-6) }}, 
+      {{ SC_(0.11039855962735600769519805908203125e-5), SC_(0.1103985596274008583684717717140945872849e-5) }}, 
+      {{ SC_(0.3291776010883040726184844970703125e-5), SC_(0.3291776010894930389950221585822451540922e-5) }}, 
+      {{ SC_(0.7517213816754519939422607421875e-5), SC_(0.7517213816896115440686244581232090380807e-5) }}, 
+      {{ SC_(0.1511466689407825469970703125e-4), SC_(0.151146668952292524810471268542864819142e-4) }}, 
+      {{ SC_(0.2986399340443313121795654296875e-4), SC_(0.2986399341331127938191098992807520418566e-4) }}, 
+      {{ SC_(0.338702811859548091888427734375e-4), SC_(0.3387028119890675897146774685716560577438e-4) }}, 
+      {{ SC_(0.906601198948919773101806640625e-4), SC_(0.9066012014327826381277876686817592943471e-4) }}, 
+      {{ SC_(0.0002194953267462551593780517578125), SC_(0.0002194953302712183992004987083863068286575) }}, 
+      {{ SC_(0.000439521507360041141510009765625), SC_(0.0004395215356621756172832388067699815859163) }}, 
+      {{ SC_(0.000633315183222293853759765625), SC_(0.0006333152678940465733692213551976187060063) }}, 
+      {{ SC_(0.0011151232756674289703369140625), SC_(0.001115123737886341835357675971473032730801) }}, 
+      {{ SC_(0.001962467096745967864990234375), SC_(0.001962469616086656343101697360448994447248) }}, 
+      {{ SC_(0.00555375404655933380126953125), SC_(0.005553811147953337251608673095795926379418) }}, 
+      {{ SC_(0.0073246769607067108154296875), SC_(0.007324807956742500088707032291078962161983) }}, 
+      {{ SC_(0.0086911283433437347412109375), SC_(0.008691347183450786003338484767259005750621) }}, 
+      {{ SC_(0.01191294193267822265625), SC_(0.01191350553503790551712224267804100577312) }}, 
+      {{ SC_(0.0299333631992340087890625), SC_(0.02994230816857020273948279830730524489901) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.05128752666822782052568477249433836427776) }}, 
+      {{ SC_(0.05473744869232177734375), SC_(0.05479221508125443603584511761951841280462) }}, 
+      {{ SC_(0.0615889132022857666015625), SC_(0.0616669638195183068123715085691638305692) }}, 
+      {{ SC_(0.0937536060810089111328125), SC_(0.09402975380882211958737150286272764887037) }}, 
+      {{ SC_(0.0944215953350067138671875), SC_(0.09470370926367391764663232920446630580688) }}, 
+      {{ SC_(0.0944317281246185302734375), SC_(0.09471393321406025987803236345499696649722) }}, 
+      {{ SC_(0.099437296390533447265625), SC_(0.09976699249016486016395021218834536220752) }}, 
+      {{ SC_(0.1120129525661468505859375), SC_(0.1124849830355889429846170463794901835017) }}, 
+      {{ SC_(0.123102605342864990234375), SC_(0.1237301640233916802510730091978889755734) }}, 
+      {{ SC_(0.1356296539306640625), SC_(0.136470609508612479912140462032722727509) }}, 
+      {{ SC_(0.137633502483367919921875), SC_(0.1385125786609474520950316182245783874744) }}, 
+      {{ SC_(0.1474945545196533203125), SC_(0.1485782998046483417449330959482946265992) }}, 
+      {{ SC_(0.161897182464599609375), SC_(0.163334331667904492581671816308390067676) }}, 
+      {{ SC_(0.170511066913604736328125), SC_(0.1721929869363735526203806645402133592389) }}, 
+      {{ SC_(0.170518338680267333984375), SC_(0.1722004764629990854468820758107275101776) }}, 
+      {{ SC_(0.1856291294097900390625), SC_(0.1878064731815008603331954720151705472375) }}, 
+      {{ SC_(0.188988208770751953125), SC_(0.1912876932893582208057658208318612269009) }}, 
+      {{ SC_(0.23206615447998046875), SC_(0.2363721243391452317792593455314737006561) }}, 
+      {{ SC_(0.23480379581451416015625), SC_(0.2392675448267426979141683097039145007706) }}, 
+      {{ SC_(0.2646920680999755859375), SC_(0.271147290330230077990690324884981633411) }}, 
+      {{ SC_(0.27949869632720947265625), SC_(0.287138205934443267371748751232576707068) }}, 
+      {{ SC_(0.2878930568695068359375), SC_(0.2962673858386818760743191664695461734079) }}, 
+      {{ SC_(0.29259669780731201171875), SC_(0.3014037366523923189237135841752647308831) }}, 
+      {{ SC_(0.310164928436279296875), SC_(0.3207278827697849622886565511333038417846) }}, 
+      {{ SC_(0.31092464923858642578125), SC_(0.321568689394455844291345719208687599694) }}, 
+      {{ SC_(0.31145012378692626953125), SC_(0.3221505056451928603025272541357270447997) }}, 
+      {{ SC_(0.3271782398223876953125), SC_(0.339664946169947805312598648269899355103) }}, 
+      {{ SC_(0.3574345111846923828125), SC_(0.3739415343654542284372692080523616239196) }}, 
+      {{ SC_(0.35936939716339111328125), SC_(0.3761615922309022376646457727379955025932) }}, 
+      {{ SC_(0.35960352420806884765625), SC_(0.376430465969337149289307260724149960882) }}, 
+      {{ SC_(0.36268270015716552734375), SC_(0.3799714809649667171023188371749734970087) }}, 
+      {{ SC_(0.38961827754974365234375), SC_(0.4113499159905352551364249131399712396774) }}, 
+      {{ SC_(0.3904266357421875), SC_(0.4123033008021400244918917567469642157756) }}, 
+      {{ SC_(0.39811360836029052734375), SC_(0.4214052375603138698610724190400452927171) }}, 
+      {{ SC_(0.41150724887847900390625), SC_(0.4374243870957909704688484065341332398408) }}, 
+      {{ SC_(0.4120509624481201171875), SC_(0.438079118237434936389702798117975965435) }}, 
+      {{ SC_(0.41868770122528076171875), SC_(0.4460997186945703025969092767121680940872) }}, 
+      {{ SC_(0.4213654994964599609375), SC_(0.4493511447897728936819156706558562191803) }}, 
+      {{ SC_(0.4516327381134033203125), SC_(0.4867494899047367852559605895765155264024) }}, 
+      {{ SC_(0.45386397838592529296875), SC_(0.4895560176112374916678981118235718808999) }}, 
+      {{ SC_(0.46555078029632568359375), SC_(0.5043748446613432644265368658689527269923) }}, 
+      {{ SC_(0.48124635219573974609375), SC_(0.5246050193978662791545681419778026197093) }}, 
+      {{ SC_(0.4862163066864013671875), SC_(0.5310932154891663069921221983411478381793) }}, 
+      {{ SC_(0.48987305164337158203125), SC_(0.5358932909903700749055224508487508967699) }}, 
+      {{ SC_(0.502483844757080078125), SC_(0.5526234425942533333497748944931154989089) }}, 
+      {{ SC_(0.5074074268341064453125), SC_(0.5592320547729961905967162368329222398251) }}, 
+      {{ SC_(0.50932216644287109375), SC_(0.5618140818296767894194272698942620318047) }}, 
+      {{ SC_(0.5143489837646484375), SC_(0.5686253097655145706303693099066490153432) }}, 
+      {{ SC_(0.5154285430908203125), SC_(0.5700943191671631767428541315644447456688) }}, 
+      {{ SC_(0.5234100818634033203125), SC_(0.5810250825991417575052326759884079418476) }}, 
+      {{ SC_(0.527447223663330078125), SC_(0.5866018515043636631396476583453040565353) }}, 
+      {{ SC_(0.5309803485870361328125), SC_(0.5915094458340507867953465738492206518901) }}, 
+      {{ SC_(0.5477793216705322265625), SC_(0.615203099922968789392563855123133294432) }}, 
+      {{ SC_(0.5577394962310791015625), SC_(0.6295459624918965701898701179409871117547) }}, 
+      {{ SC_(0.558278560638427734375), SC_(0.6303287742357745455208912482493484545533) }}, 
+      {{ SC_(0.5843560695648193359375), SC_(0.6690521906099504661825293948827417437714) }}, 
+      {{ SC_(0.58713626861572265625), SC_(0.6732844960442398402790025978545962104976) }}, 
+      {{ SC_(0.587891101837158203125), SC_(0.6744372167164567880432735474026414000937) }}, 
+      {{ SC_(0.59034061431884765625), SC_(0.6781887236623533927703862563260315607999) }}, 
+      {{ SC_(0.5945003032684326171875), SC_(0.684597775489552027208298442397307157518) }}, 
+      {{ SC_(0.59579753875732421875), SC_(0.686606510213166504449707209584681039618) }}, 
+      {{ SC_(0.5961520671844482421875), SC_(0.6871563252400655469505525776500166368732) }}, 
+      {{ SC_(0.6005008220672607421875), SC_(0.6939300827887145041443406444376899260605) }}, 
+      {{ SC_(0.6150004863739013671875), SC_(0.7169242329194352408292786592670047478091) }}, 
+      {{ SC_(0.6162893772125244140625), SC_(0.718999805549710753361347867549953319929) }}, 
+      {{ SC_(0.6194069385528564453125), SC_(0.7240422748778544828852658840299672671419) }}, 
+      {{ SC_(0.62850666046142578125), SC_(0.7389438896054792083692956718844417119266) }}, 
+      {{ SC_(0.6293842792510986328125), SC_(0.7403958734869583175052115753160537014235) }}, 
+      {{ SC_(0.641617298126220703125), SC_(0.7609178886018203867768570854585116358618) }}, 
+      {{ SC_(0.6424276828765869140625), SC_(0.7622965466812235050838313606820415418465) }}, 
+      {{ SC_(0.643742084503173828125), SC_(0.7645378650643100878873860589743586646119) }}, 
+      {{ SC_(0.6468508243560791015625), SC_(0.7698647951781609863982541324817513695536) }}, 
+      {{ SC_(0.661591053009033203125), SC_(0.7956379107512945487304413199186620675388) }}, 
+      {{ SC_(0.669950008392333984375), SC_(0.8106524185805045490744310224054265386895) }}, 
+      {{ SC_(0.6813662052154541015625), SC_(0.8316597473423232100463095038096703191227) }}, 
+      {{ SC_(0.6968657970428466796875), SC_(0.861181279065929560893743209045814929335) }}, 
+      {{ SC_(0.69818878173828125), SC_(0.8637579113749143394578018115274414809977) }}, 
+      {{ SC_(0.7447831630706787109375), SC_(0.9611360201710216528199065175645895870797) }}, 
+      {{ SC_(0.7518312931060791015625), SC_(0.9771540941752986840434538256366757954859) }}, 
+      {{ SC_(0.753439426422119140625), SC_(0.9808634133542228689124290623167881332843) }}, 
+      {{ SC_(0.7567856311798095703125), SC_(0.9886489208209698781284720459176833206972) }}, 
+      {{ SC_(0.781728267669677734375), SC_(1.049799171982895646434536064092181561482) }}, 
+      {{ SC_(0.8115026950836181640625), SC_(1.13141414441875853996497925019619325203) }}, 
+      {{ SC_(0.8146479129791259765625), SC_(1.140694775558441751141132778566016009721) }}, 
+      {{ SC_(0.8266689777374267578125), SC_(1.177523083369968036920622084233473757412) }}, 
+      {{ SC_(0.8313877582550048828125), SC_(1.192613822570143323026054454909849845367) }}, 
+      {{ SC_(0.83430385589599609375), SC_(1.202132332303961254992584113869002097916) }}, 
+      {{ SC_(0.8416652679443359375), SC_(1.226857064433516189319978030947873360052) }}, 
+      {{ SC_(0.85844135284423828125), SC_(1.287389667157365295856183109440507044615) }}, 
+      {{ SC_(0.8678996562957763671875), SC_(1.324504043392939851303939943290664403741) }}, 
+      {{ SC_(0.8679344654083251953125), SC_(1.324645130926160707039340948233535357264) }}, 
+      {{ SC_(0.8800599575042724609375), SC_(1.376033487778217701076449442272672558944) }}, 
+      {{ SC_(0.900353908538818359375), SC_(1.474085296119410724208965851686464033313) }}, 
+      {{ SC_(0.909944057464599609375), SC_(1.527199085186199482742984118973093246969) }}, 
+      {{ SC_(0.9142425060272216796875), SC_(1.552776894827300414876536030721521100862) }}, 
+      {{ SC_(0.9149219989776611328125), SC_(1.556931837197935820864845994901316963069) }}, 
+      {{ SC_(0.918490886688232421875), SC_(1.579289662838161287932020406856633071199) }}, 
+      {{ SC_(0.91889286041259765625), SC_(1.581866335942762753838726342973068309432) }}, 
+      {{ SC_(0.919395923614501953125), SC_(1.585108284332000716017087123313008639504) }}, 
+      {{ SC_(0.9296839237213134765625), SC_(1.656055522329536863771852381599659592259) }}, 
+      {{ SC_(0.929839611053466796875), SC_(1.6572041418041492174589693922205395004) }}, 
+      {{ SC_(0.9352962970733642578125), SC_(1.69909864336192661532416961180476119912) }}, 
+      {{ SC_(0.937641620635986328125), SC_(1.718164398807964846646482962730886595432) }}, 
+      {{ SC_(0.9410912990570068359375), SC_(1.747508407724663243809927907107491941803) }}, 
+      {{ SC_(0.96212291717529296875), SC_(1.973718016345510160586126866935192466646) }}, 
+      {{ SC_(0.974821567535400390625), SC_(2.181122777108378116176876272951870175355) }}, 
+      {{ SC_(0.976945400238037109375), SC_(2.225721449969825368029395993270411091677) }}, 
+      {{ SC_(0.985663890838623046875), SC_(2.465463560165053850170474882317767473537) }}, 
+      {{ SC_(0.98803806304931640625), SC_(2.556586922814200202245299755886851508354) }}, 
+      {{ SC_(0.9928233623504638671875), SC_(2.813238353909419376753157236188061588174) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/atanh_test.hpp b/src/boost/libs/math/test/atanh_test.hpp
new file mode 100644
index 000000000..e002402e8
--- /dev/null
+++ b/src/boost/libs/math/test/atanh_test.hpp
@@ -0,0 +1,179 @@
+// unit test file atanh.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+//#include <iostream>
+
+#define BOOST_TEST_MAiN
+#include <boost/math/special_functions/atanh.hpp>
+
+
+#include <boost/test/unit_test.hpp>
+
+template<typename T>
+T    atanh_error_evaluator(T x)
+{
+    using    ::std::abs;
+    using    ::std::tanh;
+    using    ::std::cosh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::atanh;
+    
+    
+    static T const   epsilon = numeric_limits<float>::epsilon();
+    
+    T                y = tanh(x);
+    T                z = atanh(y);
+    
+    T                absolute_error = abs(z-x);
+    T                relative_error = absolute_error/(cosh(x)*cosh(x));
+    T                scaled_error = relative_error/epsilon;
+    
+    return(scaled_error);
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(atanh_test, T)
+{
+    using    ::std::abs;
+    using    ::std::tanh;
+    using    ::std::log;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::atanh;
+    
+    
+    BOOST_TEST_MESSAGE("Testing atanh in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(atanh<T>(static_cast<T>(0))))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(atanh<T>(static_cast<T>(3)/5) - log(static_cast<T>(2))))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(atanh<T>(static_cast<T>(-3)/5) + log(static_cast<T>(2))))
+        (numeric_limits<T>::epsilon()));
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        T    x = static_cast<T>(i-50)/static_cast<T>(5);
+        T    y = tanh(x);
+        
+        if    (
+                (abs(y-static_cast<T>(1)) >= numeric_limits<T>::epsilon())&&
+                (abs(y+static_cast<T>(1)) >= numeric_limits<T>::epsilon())
+            )
+        {
+            BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+                (atanh_error_evaluator(x))
+                (static_cast<T>(4)));
+        }
+    }
+    //
+    // Error handling checks:
+    //
+    BOOST_MATH_CHECK_THROW(atanh(T(-1)), std::overflow_error);
+    BOOST_MATH_CHECK_THROW(atanh(T(1)), std::overflow_error);
+    BOOST_MATH_CHECK_THROW(atanh(T(-2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(atanh(T(2)), std::domain_error);
+}
+
+
+void    atanh_manual_check()
+{
+    using    ::std::abs;
+    using    ::std::tanh;
+        
+    using    ::std::numeric_limits;
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("atanh");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+        float        xf = static_cast<float>(i-50)/static_cast<float>(5);
+        double       xd = static_cast<double>(i-50)/static_cast<double>(5);
+        long double  xl =
+                static_cast<long double>(i-50)/static_cast<long double>(5);
+        
+        float        yf = tanh(xf);
+        double       yd = tanh(xd);
+        (void) &yd;        // avoid "unused variable" warning
+        long double  yl = tanh(xl);
+        (void) &yl;        // avoid "unused variable" warning
+        
+        if    (
+                std::numeric_limits<float>::has_infinity &&
+                std::numeric_limits<double>::has_infinity &&
+                std::numeric_limits<long double>::has_infinity
+            )
+        {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+            BOOST_TEST_MESSAGE( ::std::setw(15)
+                        << atanh_error_evaluator(xf)
+                        << ::std::setw(15)
+                        << atanh_error_evaluator(xd)
+                        << ::std::setw(15)
+                        << atanh_error_evaluator(xl));
+#else
+            BOOST_TEST_MESSAGE( ::std::setw(15)
+                        << atanh_error_evaluator(xf)
+                        << ::std::setw(15)
+                        << atanh_error_evaluator(xd));
+#endif
+        }
+        else
+        {
+            if    (
+                    (abs(yf-static_cast<float>(1)) <
+                        numeric_limits<float>::epsilon())||
+                    (abs(yf+static_cast<float>(1)) <
+                        numeric_limits<float>::epsilon())||
+                    (abs(yf-static_cast<double>(1)) <
+                        numeric_limits<double>::epsilon())||
+                    (abs(yf+static_cast<double>(1)) <
+                        numeric_limits<double>::epsilon())||
+                    (abs(yf-static_cast<long double>(1)) <
+                        numeric_limits<long double>::epsilon())||
+                    (abs(yf+static_cast<long double>(1)) <
+                        numeric_limits<long double>::epsilon())
+                )
+            {
+                BOOST_TEST_MESSAGE("Platform's numerics may lack precision.");
+            }
+            else
+            {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+                BOOST_TEST_MESSAGE( ::std::setw(15)
+                            << atanh_error_evaluator(xf)
+                            << ::std::setw(15)
+                            << atanh_error_evaluator(xd)
+                            << ::std::setw(15)
+                            << atanh_error_evaluator(xl));
+#else
+                BOOST_TEST_MESSAGE( ::std::setw(15)
+                            << atanh_error_evaluator(xf)
+                            << ::std::setw(15)
+                            << atanh_error_evaluator(xd));
+#endif
+            }
+        }
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
diff --git a/src/boost/libs/math/test/bessel_i_data.ipp b/src/boost/libs/math/test/bessel_i_data.ipp
new file mode 100644
index 000000000..d95432c4b
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_data.ipp
@@ -0,0 +1,234 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 225> bessel_i_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(0.4186983670927603951456761016615805321694e29) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(0.2032477564839492547710163141114983376107e7) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(0.7209773983625557491285409746913864781653e24) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(0.8754902581281478276585360070503782597115e9) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(0.1045354686776007657866756333678839303562e23) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.637722015380859375e2), SC_(0.4716204450814114467834563893626508706616e10) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.24750102996826171875e2), SC_(0.3651466017937929635806605426551713742921e15) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.637722015380859375e2), SC_(0.8566833579732135640262696128535710188301e14) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.24750102996826171875e2), SC_(-0.7703641421675666973721209829630518563931e10) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.637722015380859375e2), SC_(0.1959694422054590004110877333169097220352e17) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.95070552825927734375e1), SC_(0.2934779151682606205400047286649505699432e23) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.24750102996826171875e2), SC_(0.6405675645065933411553551945741721563518e3) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.637722015380859375e2), SC_(0.805557170418531409978537810934369410633e20) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.51139926910400390625e1), SC_(0.289105444853831500904637353663660192819e28) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.95070552825927734375e1), SC_(0.8806324212322684518238175986513600832194e17) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.24750102996826171875e2), SC_(0.3890036496141556574166698709019531196928e0) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.637722015380859375e2), SC_(0.3063025493893607419003502570490592505508e22) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.177219114266335964202880859375e-2), SC_(0.2803618162597370401397229001288041823179e-34) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.22177286446094512939453125e-2), SC_(0.229588528336937186404069781250920318956e-33) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.7444499991834163665771484375e-2), SC_(0.1959749964125288689721223617361145955449e-28) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1433600485324859619140625e-1), SC_(0.9133296812900414557505943321740418454784e-26) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1760916970670223236083984375e-1), SC_(0.6281058749227662133654486730221725796013e-25) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.6152711808681488037109375e-1), SC_(0.7806782632836478900912324974768292604178e-20) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.11958599090576171875e0), SC_(0.3969270921873940596846801055093851364249e-17) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.15262925624847412109375e0), SC_(0.3911054564312661834266087273264220427648e-16) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.408089816570281982421875e0), SC_(0.3968059264413538749627636752562708954912e-12) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.6540834903717041015625e0), SC_(0.3328913174482554006724623549002084389481e-10) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1097540378570556640625e1), SC_(0.4345996628731497806117301412025701409681e-8) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.30944411754608154296875e1), SC_(0.8821763783526972687094781579187606888861e-4) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.51139926910400390625e1), SC_(0.1440790625360570911757430559538249450382e-1) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.95070552825927734375e1), SC_(0.1943226931700462962154856194109129706652e2) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.24750102996826171875e2), SC_(0.7543097629536504483214121556669228286985e9) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.637722015380859375e2), SC_(0.1242187462089386651190442543425398784833e27) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.177219114266335964202880859375e-2), SC_(0.148982667418264205724082321914073417083e-34) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.22177286446094512939453125e-2), SC_(0.1238718017352724275257612770297545398575e-33) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.7444499991834163665771484375e-2), SC_(0.1147864422785975785379486658863341965539e-28) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1433600485324859619140625e-1), SC_(0.559265688248480010364759849989645260096e-26) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1760916970670223236083984375e-1), SC_(0.3900141694706919558831468837845481277321e-25) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.6152711808681488037109375e-1), SC_(0.5276757393757080096863772555264582929817e-20) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.11958599090576171875e0), SC_(0.2806586679017851973719099727210813946663e-17) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.15262925624847412109375e0), SC_(0.2811556875187931972313758314199441466104e-16) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.408089816570281982421875e0), SC_(0.3049214538640230343488562864541510399665e-12) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.6540834903717041015625e0), SC_(0.2641125801178791553193637198564322320001e-10) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1097540378570556640625e1), SC_(0.3570822482377035574485486720053965916982e-8) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.30944411754608154296875e1), SC_(0.7766278241102208401170874203781603111746e-4) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.51139926910400390625e1), SC_(0.1309298511678054464902027194534409538646e-1) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.95070552825927734375e1), SC_(0.1827999074103902886609783889480769570524e2) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.24750102996826171875e2), SC_(0.7351908192175552948778255155781258947671e9) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.637722015380859375e2), SC_(0.1229766721665510769829680551623499922036e27) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.177219114266335964202880859375e-2), SC_(0.8225184464794312214427441884602794315635e-108) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.22177286446094512939453125e-2), SC_(0.3114921421876925970246827842503222114267e-105) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.7444499991834163665771484375e-2), SC_(0.2604432142391172275446430144882881083067e-91) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1433600485324859619140625e-1), SC_(0.8900355057385521217383601748827962581012e-84) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2058868164797190179746749314402013402828e-81) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.6152711808681488037109375e-1), SC_(0.4972024613715337297288025064797981454153e-67) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.11958599090576171875e0), SC_(0.2171276940537634328598470815758727598254e-59) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.15262925624847412109375e0), SC_(0.1385612106461115669282812891998412819968e-56) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.408089816570281982421875e0), SC_(0.2810683753661952718697857543641460074915e-45) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.6540834903717041015625e0), SC_(0.747015815779669898566479492042761278802e-40) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1097540378570556640625e1), SC_(0.6713297080381936017489524806125579632058e-34) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.30944411754608154296875e1), SC_(0.5978300815170794201799690600452619195433e-22) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.51139926910400390625e1), SC_(0.4142831554257851122039738437459914404627e-16) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.95070552825927734375e1), SC_(0.9887760983557707673914821600211506775333e-9) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.24750102996826171875e2), SC_(0.7441331815372677577709813948668342499614e4) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.637722015380859375e2), SC_(0.1057653975611580297025968384966638534004e25) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.177219114266335964202880859375e-2), SC_(0.45958690635023871062575909063334378893e-279) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.22177286446094512939453125e-2), SC_(0.6209389773028073837297210778242506483306e-273) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.7444499991834163665771484375e-2), SC_(0.7895715130491294720616738632774975243308e-240) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.1433600485324859619140625e-1), SC_(0.647138446378151590819632213606225850758e-222) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2707933582567150643813770648402680542879e-216) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.6152711808681488037109375e-1), SC_(0.4288055347469163240604226404771653090957e-182) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.11958599090576171875e0), SC_(0.6294953330027617350864498223470068886243e-164) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.15262925624847412109375e0), SC_(0.2940851738608356257417673881327738650612e-157) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.408089816570281982421875e0), SC_(0.2257058202165688627695231239206115145716e-130) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.6540834903717041015625e0), SC_(0.1778039654840661639266356774235366667095e-117) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.1097540378570556640625e1), SC_(0.2514421131363998555318888464942258689787e-103) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.30944411754608154296875e1), SC_(0.5622845117457223453327449156803858773151e-75) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.51139926910400390625e1), SC_(0.3245046327192357619087066004032484720756e-61) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.95070552825927734375e1), SC_(0.3715619462888415165782020457969122705518e-44) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.24750102996826171875e2), SC_(0.3928772045743820848686674725450534320585e-17) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.637722015380859375e2), SC_(0.4982235303443094180348113374739658467202e14) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.177219114266335964202880859375e-2), SC_(0.8145278863081702046160838798060574146498e-299) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.22177286446094512939453125e-2), SC_(0.273355602940560423241491733212069399811e-292) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.7444499991834163665771484375e-2), SC_(0.4728729011489722531816755757616996909541e-257) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.1433600485324859619140625e-1), SC_(0.5532680654837973551675604470108479729368e-238) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.1760916970670223236083984375e-1), SC_(0.5332218714319018365471934122528911265283e-232) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.6152711808681488037109375e-1), SC_(0.1351442480084734517888404330190286676976e-195) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.11958599090576171875e0), SC_(0.2940544214028786728558702402226682606314e-176) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.15262925624847412109375e0), SC_(0.3696361271707945402277810208698541211588e-169) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.408089816570281982421875e0), SC_(0.1533334887876358917747817075186949290711e-140) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.6540834903717041015625e0), SC_(0.8188269262461989880045159642061071185302e-127) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.1097540378570556640625e1), SC_(0.9452938851334173462198792853676699061061e-112) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.30944411754608154296875e1), SC_(0.1414272882631812261170943199679860524587e-81) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.51139926910400390625e1), SC_(0.6241173489976673359483605543696831737147e-67) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.95070552825927734375e1), SC_(0.8712044333057202529728660569277365273428e-49) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.24750102996826171875e2), SC_(0.3982650966436440948794776219727856433598e-20) }}, 
+      {{ SC_(0.67001708984375e2), SC_(0.637722015380859375e2), SC_(0.1301141472635952354311394258582077376009e13) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.177219114266335964202880859375e-2), SC_(0.157205517364431479471034227738737225277e-368) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.22177286446094512939453125e-2), SC_(0.1262175228652731751157584599767837335561e-360) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.7444499991834163665771484375e-2), SC_(0.6088589424107921962360080561386431972983e-318) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.1433600485324859619140625e-1), SC_(0.7613660164036552097738930614744948905917e-295) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.1760916970670223236083984375e-1), SC_(0.1348680647746932169852488432888512948313e-287) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.6152711808681488037109375e-1), SC_(0.168078664707541881282539369926315796139e-243) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.11958599090576171875e0), SC_(0.445606290877694806972008257759791099908e-220) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.15262925624847412109375e0), SC_(0.177133785007840856017566661252834588383e-211) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.408089816570281982421875e0), SC_(0.8178917798786483491031838984820411058629e-177) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.6540834903717041015625e0), SC_(0.3471864027747748292078702537013542433812e-160) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.1097540378570556640625e1), SC_(0.6094881924219064798913334042624617538195e-142) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.30944411754608154296875e1), SC_(0.2140053247322928924398536295193120629168e-105) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.51139926910400390625e1), SC_(0.1146255672421987406264738996157910945912e-87) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.95070552825927734375e1), SC_(0.9972275825053200207362404131650025897604e-66) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.24750102996826171875e2), SC_(0.2535562170383504453377114640733105094874e-31) }}, 
+      {{ SC_(0.8115838623046875e2), SC_(0.637722015380859375e2), SC_(0.1001308383053194662448933928171633925979e7) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.177219114266335964202880859375e-2), SC_(0.4573779508720004298227675414192260046546e-376) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.22177286446094512939453125e-2), SC_(0.5160106315490947386154953682976395046894e-368) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1562334017115491895886977996073373942207e-324) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.1433600485324859619140625e-1), SC_(0.5278571215785182326959702265688351134291e-301) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.1760916970670223236083984375e-1), SC_(0.1277312554796787408420744978149513517013e-293) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.6152711808681488037109375e-1), SC_(0.1061724104938018469582055527280255336585e-248) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.11958599090576171875e0), SC_(0.7712852664056808115770779559640598043755e-225) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.15262925624847412109375e0), SC_(0.443894324669192984876181444773703726768e-216) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.408089816570281982421875e0), SC_(0.9109962504912653219532484696574201283998e-181) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.6540834903717041015625e0), SC_(0.7909192383073503255406403850089126662329e-164) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.1097540378570556640625e1), SC_(0.3044178271260621699107515249421754701285e-145) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.30944411754608154296875e1), SC_(0.5146682221656082575738779097493053972109e-108) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.51139926910400390625e1), SC_(0.5900879815805989068497603852413696132032e-90) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.95070552825927734375e1), SC_(0.1310234972644560474404628143543963280019e-67) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.24750102996826171875e2), SC_(0.1383061073737088351248401358144891014898e-32) }}, 
+      {{ SC_(0.826751708984375e2), SC_(0.637722015380859375e2), SC_(0.196739835131236386225438031886273533704e6) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.177219114266335964202880859375e-2), SC_(0.3761319106186226394224478209899958029636e-420) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.22177286446094512939453125e-2), SC_(0.3071679846975924485501758655009110183713e-411) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.7444499991834163665771484375e-2), SC_(0.4077804894761263349335542048955151964019e-363) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.1433600485324859619140625e-1), SC_(0.4477531867242442419409019021372276068979e-337) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.1760916970670223236083984375e-1), SC_(0.6654163234660172683086930623269130983519e-329) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.6152711808681488037109375e-1), SC_(0.3454009816975760188415259509498042816599e-279) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.11958599090576171875e0), SC_(0.8848846138473239243942795648392755926646e-253) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.15262925624847412109375e0), SC_(0.4386836568767226593594614824285031640733e-243) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.408089816570281982421875e0), SC_(0.5299038860970871277654859065759816903279e-204) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.6540834903717041015625e0), SC_(0.2958478400504149733673117483321464747667e-185) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.1097540378570556640625e1), SC_(0.1097303702759080431399205144048861500121e-164) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.30944411754608154296875e1), SC_(0.1740056306666555055152972181106078242165e-123) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.51139926910400390625e1), SC_(0.1673339953325846421819964823098296151575e-103) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.95070552825927734375e1), SC_(0.8687167720001720556010737170485049371093e-79) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.24750102996826171875e2), SC_(0.3692850810905946301005088439612740799387e-40) }}, 
+      {{ SC_(0.9150136566162109375e2), SC_(0.637722015380859375e2), SC_(0.9898224333593177462666087597942281055572e1) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1460385366381817590912628374886577400311e-427) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.22177286446094512939453125e-2), SC_(0.1660714404677314430822348585030702868811e-418) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1317617473983366568805362269070678473134e-369) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.1433600485324859619140625e-1), SC_(0.3806757540516858660331314163681152866391e-343) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.1760916970670223236083984375e-1), SC_(0.7664122312038401503266516484382792372918e-335) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.6152711808681488037109375e-1), SC_(0.2522466580033992529245827351960305858762e-284) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.11958599090576171875e0), SC_(0.1723766595067289930333944605397907165126e-257) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.15262925624847412109375e0), SC_(0.122510044516191287194986636228510714723e-247) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.408089816570281982421875e0), SC_(0.6320964093687359992246531587046119933564e-208) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.6540834903717041015625e0), SC_(0.708136925567413515490484772994252837671e-189) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.1097540378570556640625e1), SC_(0.5639264150692756756490904133823758806629e-168) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.30944411754608154296875e1), SC_(0.4129462260289034923014177214131118720683e-126) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.51139926910400390625e1), SC_(0.8331294791988632108059294677700546991875e-106) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.95070552825927734375e1), SC_(0.1077417088255643021856220960456095439197e-80) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.24750102996826171875e2), SC_(0.1840680550009863574908112564805789739098e-41) }}, 
+      {{ SC_(0.9297769927978515625e2), SC_(0.637722015380859375e2), SC_(0.1763888932233277016362256890048367262299e1) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.177219114266335964202880859375e-2), SC_(0.2209347565974788696639264391539707087396e-430) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.22177286446094512939453125e-2), SC_(0.2849440938204890850545105749510669521059e-421) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.7444499991834163665771484375e-2), SC_(0.4461183356669528089654614389899558337017e-372) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1433600485324859619140625e-1), SC_(0.186189013996132586006620768843737617781e-345) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1760916970670223236083984375e-1), SC_(0.4207171464903321221478332968276379145208e-337) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.6152711808681488037109375e-1), SC_(0.2794575928537638790359932072281685834465e-286) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.11958599090576171875e0), SC_(0.2773090200667294626835386467499350751345e-259) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.15262925624847412109375e0), SC_(0.2260110749901556545475713942742165650873e-249) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.408089816570281982421875e0), SC_(0.2025238134586584688844397962030031731834e-209) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.6540834903717041015625e0), SC_(0.295667265580285638161837806809758856674e-190) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1097540378570556640625e1), SC_(0.3148279617989718500918216329373129544483e-169) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.30944411754608154296875e1), SC_(0.4124362783425667441395995380976040300139e-127) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.51139926910400390625e1), SC_(0.1102865897947875580711254657268148779102e-106) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.95070552825927734375e1), SC_(0.2017912263774429544180145434725268888799e-81) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.24750102996826171875e2), SC_(0.585124331702042518682450228001579959011e-42) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.637722015380859375e2), SC_(0.9109033452242380425874783541414924137194e0) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1462889005744077883101401150674179145163e-431) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.22177286446094512939453125e-2), SC_(0.1988629752815125148136418579179711319716e-422) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.7444499991834163665771484375e-2), SC_(0.4136307735057499861306799147357744410527e-373) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1433600485324859619140625e-1), SC_(0.2013143185707044815928416824270942612755e-346) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1760916970670223236083984375e-1), SC_(0.4773761811204046357428111998379256257516e-338) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.6152711808681488037109375e-1), SC_(0.425242480570104524943002347341364243555e-287) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.11958599090576171875e0), SC_(0.4931576672624963195999096534426325149741e-260) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.15262925624847412109375e0), SC_(0.4256045789264947383412434711022341543066e-250) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.408089816570281982421875e0), SC_(0.4803333698331891418314823264599934301891e-210) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.6540834903717041015625e0), SC_(0.7832996865729431858502081794565744300833e-191) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1097540378570556640625e1), SC_(0.9417267690858043031227540308585633026951e-170) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.30944411754608154296875e1), SC_(0.157318806580738139722298745038219284193e-127) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.51139926910400390625e1), SC_(0.4732364164074862900105799445314181870355e-107) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.95070552825927734375e1), SC_(0.1001021317453180716256526810273777626779e-81) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.24750102996826171875e2), SC_(0.3620919659244281764247766012640646618795e-42) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.637722015380859375e2), SC_(0.6905128242941598516051984956052879129643e0) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.177219114266335964202880859375e-2), SC_(0.9336746634488322706414234865292535693528e-456) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.22177286446094512939453125e-2), SC_(0.3726585870845834794923875248455908817372e-446) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.7444499991834163665771484375e-2), SC_(0.2601610550455548941598264605766950216075e-394) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1433600485324859619140625e-1), SC_(0.2946579103606572296568332778405704339447e-366) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1760916970670223236083984375e-1), SC_(0.187601891562751902089087302157938087049e-357) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.6152711808681488037109375e-1), SC_(0.6799154838478458841616493729745617835238e-304) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.11958599090576171875e0), SC_(0.1918358571470383749967177500137981440808e-275) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.15262925624847412109375e0), SC_(0.5343578537582739461840941918655264976087e-265) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.408089816570281982421875e0), SC_(0.6787062833732678279692755114282109142003e-223) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.6540834903717041015625e0), SC_(0.1066640939494771247816497353023791644911e-202) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1097540378570556640625e1), SC_(0.1540136528087774369513263265420126735826e-180) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.30944411754608154296875e1), SC_(0.3732038034481165129234044502070414699443e-136) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.51139926910400390625e1), SC_(0.1250755987062674994392330438153044634978e-114) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.95070552825927734375e1), SC_(0.5155910228741865630530748597345526561019e-88) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.24750102996826171875e2), SC_(0.173088587965140287251789752425440165731e-46) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(0.2139803586023867005821680732168695726563e-2) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.177219114266335964202880859375e-2), SC_(0.2261194572892689144464257783997217591003e-459) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.22177286446094512939453125e-2), SC_(0.1059718907506904441739516643053360474766e-449) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1760708480112020640215899721963204640613e-397) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1433600485324859619140625e-1), SC_(0.3188104531258877486126505505288677161449e-369) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2351789542752206704101133488009018496105e-360) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.6152711808681488037109375e-1), SC_(0.2087568008199554926652533137918586792421e-306) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.11958599090576171875e0), SC_(0.9479028425669903092514832066160512980969e-278) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.15262925624847412109375e0), SC_(0.3144358707762065981613586172661430942717e-267) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.408089816570281982421875e0), SC_(0.8076041994016289659837261163786154124696e-225) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.6540834903717041015625e0), SC_(0.1779204438764558957337121273226739006915e-204) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1097540378570556640625e1), SC_(0.3721424984805355820747068117876586135294e-182) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.30944411754608154296875e1), SC_(0.1893861897195351427223854481637771374334e-137) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.51139926910400390625e1), SC_(0.9092055250182067057531632044074461256826e-116) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.95070552825927734375e1), SC_(0.5835883537392851212536191805017949717878e-89) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.24750102996826171875e2), SC_(0.3851491419574571630736597349656750764496e-47) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(0.8891727416380076726409331943293544170762e-3) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_i_int_data.ipp b/src/boost/libs/math/test/bessel_i_int_data.ipp
new file mode 100644
index 000000000..c0b57114c
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_int_data.ipp
@@ -0,0 +1,504 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 495> bessel_i_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.1000000785165515654790765567976560128368e1) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.1000001229580463247166647265657459686513e1) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.1000013855193023439561602999309818071557e1) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.100005138091877460790808253311381371617e1) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.1000077522216818092267597684468025144708e1) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.1000946620505179168127565717529250425225e1) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.1003578399092795290959506558979668000986e1) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.1005832407473077490942708958509537944332e1) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.1042069688780878266908906813963061201236e1) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.1109850431257999241542412962070021625239e1) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.1324594459649893673687924138468203300537e1) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.5270503008520823311035815313268274322688e1) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(0.3016460113324413124385977969424656719006e2) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(0.1765221230864037183559483071058505259281e4) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(0.4520582716299093122418957895745838047526e10) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(0.248523599457696979135532431768725854655e27) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.8860959191975001520307655146348128981208e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.1108865004023609343492425973877677708278e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.3722275782133396649790935284938128705517e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.7168186575111060974651037851905127311172e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.8804926126614467969087386987026758424778e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.307781186030490619563031243121873491391e-1) }}, 
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+      {{ SC_(0.79e2), SC_(0.51139926910400390625e1), SC_(0.1970229546359244151730974118220967814952e-84) }}, 
+      {{ SC_(0.79e2), SC_(0.95070552825927734375e1), SC_(0.4519411101705219203865562848704682354613e-63) }}, 
+      {{ SC_(0.79e2), SC_(0.24750102996826171875e2), SC_(0.1518463586382666158992394326311743396678e-29) }}, 
+      {{ SC_(0.79e2), SC_(0.637722015380859375e2), SC_(0.9760490072697396207873117894195488769342e7) }}, 
+      {{ SC_(0.82e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1038436202803785426388133600179459730169e-372) }}, 
+      {{ SC_(0.82e2), SC_(0.22177286446094512939453125e-2), SC_(0.1006938753460328462474122574448053771171e-364) }}, 
+      {{ SC_(0.82e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1345945900323246361787623818357538331624e-321) }}, 
+      {{ SC_(0.82e2), SC_(0.1433600485324859619140625e-1), SC_(0.292160471475819054556258294299816966923e-298) }}, 
+      {{ SC_(0.82e2), SC_(0.1760916970670223236083984375e-1), SC_(0.6153217141248195324459719214887728749464e-291) }}, 
+      {{ SC_(0.82e2), SC_(0.6152711808681488037109375e-1), SC_(0.2197747157001515487720136860444751064868e-246) }}, 
+      {{ SC_(0.82e2), SC_(0.11958599090576171875e0), SC_(0.1019336562451156029299163377789061540366e-222) }}, 
+      {{ SC_(0.82e2), SC_(0.15262925624847412109375e0), SC_(0.4975570065935101711688291197874212937039e-214) }}, 
+      {{ SC_(0.82e2), SC_(0.408089816570281982421875e0), SC_(0.5256585491004637978784987888275707136183e-179) }}, 
+      {{ SC_(0.82e2), SC_(0.6540834903717041015625e0), SC_(0.3318904542226912390049207214862611260169e-162) }}, 
+      {{ SC_(0.82e2), SC_(0.1097540378570556640625e1), SC_(0.9006810914088316982393635835954853735918e-144) }}, 
+      {{ SC_(0.82e2), SC_(0.30944411754608154296875e1), SC_(0.7564505234377340524197089618341840082876e-107) }}, 
+      {{ SC_(0.82e2), SC_(0.51139926910400390625e1), SC_(0.6180693935663269590148206442946860331756e-89) }}, 
+      {{ SC_(0.82e2), SC_(0.95070552825927734375e1), SC_(0.9043352144198374855605316967339611243444e-67) }}, 
+      {{ SC_(0.82e2), SC_(0.24750102996826171875e2), SC_(0.5065035140645080960031365557479815802671e-32) }}, 
+      {{ SC_(0.82e2), SC_(0.637722015380859375e2), SC_(0.4070462729680846577801828424629699736782e6) }}, 
+      {{ SC_(0.85e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1219116513647314073579445140073826698962e-387) }}, 
+      {{ SC_(0.85e2), SC_(0.22177286446094512939453125e-2), SC_(0.2316658303570511364023325655883461576972e-379) }}, 
+      {{ SC_(0.85e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1171299375215890527495299558278169129332e-334) }}, 
+      {{ SC_(0.85e2), SC_(0.1433600485324859619140625e-1), SC_(0.1815681105495951303009870770747843010446e-310) }}, 
+      {{ SC_(0.85e2), SC_(0.1760916970670223236083984375e-1), SC_(0.708683910208375847232135348016178171053e-303) }}, 
+      {{ SC_(0.85e2), SC_(0.6152711808681488037109375e-1), SC_(0.1079719594775910837503589945246873551394e-256) }}, 
+      {{ SC_(0.85e2), SC_(0.11958599090576171875e0), SC_(0.3676982627128526557346333692497334159336e-232) }}, 
+      {{ SC_(0.85e2), SC_(0.15262925624847412109375e0), SC_(0.3731546483902763830031124428268564725393e-223) }}, 
+      {{ SC_(0.85e2), SC_(0.408089816570281982421875e0), SC_(0.7535240432188811873875509550682990477762e-187) }}, 
+      {{ SC_(0.85e2), SC_(0.6540834903717041015625e0), SC_(0.1958883058289393975902194279609190904406e-169) }}, 
+      {{ SC_(0.85e2), SC_(0.1097540378570556640625e1), SC_(0.2511373518429964095251580585112467258299e-150) }}, 
+      {{ SC_(0.85e2), SC_(0.30944411754608154296875e1), SC_(0.4723067963574572650298919057601100049465e-112) }}, 
+      {{ SC_(0.85e2), SC_(0.51139926910400390625e1), SC_(0.1738839346363387627371195241710367004536e-93) }}, 
+      {{ SC_(0.85e2), SC_(0.95070552825927734375e1), SC_(0.1623663257276872998800059443147901760439e-70) }}, 
+      {{ SC_(0.85e2), SC_(0.24750102996826171875e2), SC_(0.1521743437932867300705177236196212703582e-34) }}, 
+      {{ SC_(0.85e2), SC_(0.637722015380859375e2), SC_(0.1556799959129105832955966318088587426661e5) }}, 
+      {{ SC_(0.88e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1288209613593357571142720689583005763762e-402) }}, 
+      {{ SC_(0.88e2), SC_(0.22177286446094512939453125e-2), SC_(0.4797299543775689080036441106208914106219e-394) }}, 
+      {{ SC_(0.88e2), SC_(0.7444499991834163665771484375e-2), SC_(0.9174536812416633326341915508185869175459e-348) }}, 
+      {{ SC_(0.88e2), SC_(0.1433600485324859619140625e-1), SC_(0.1015625556161420986205394396723116662882e-322) }}, 
+      {{ SC_(0.88e2), SC_(0.1760916970670223236083984375e-1), SC_(0.7346472096657986490100705296779319049912e-315) }}, 
+      {{ SC_(0.88e2), SC_(0.6152711808681488037109375e-1), SC_(0.4774415143129565154141226398131338281536e-267) }}, 
+      {{ SC_(0.88e2), SC_(0.11958599090576171875e0), SC_(0.119382735471855848143552750474098416176e-241) }}, 
+      {{ SC_(0.88e2), SC_(0.15262925624847412109375e0), SC_(0.2518899646481384301970914279883481939291e-232) }}, 
+      {{ SC_(0.88e2), SC_(0.408089816570281982421875e0), SC_(0.9722253412784373652536121925492657625805e-195) }}, 
+      {{ SC_(0.88e2), SC_(0.6540834903717041015625e0), SC_(0.1040637574745703228070355356117916659304e-176) }}, 
+      {{ SC_(0.88e2), SC_(0.1097540378570556640625e1), SC_(0.6302766367711271660992485559308335862541e-157) }}, 
+      {{ SC_(0.88e2), SC_(0.30944411754608154296875e1), SC_(0.2654441873858763831864401113742713122992e-117) }}, 
+      {{ SC_(0.88e2), SC_(0.51139926910400390625e1), SC_(0.4403904099603861384280491749834790369519e-98) }}, 
+      {{ SC_(0.88e2), SC_(0.95070552825927734375e1), SC_(0.262551184129831686961964273106436690334e-74) }}, 
+      {{ SC_(0.88e2), SC_(0.24750102996826171875e2), SC_(0.4131930234604820436302932418803598894853e-37) }}, 
+      {{ SC_(0.88e2), SC_(0.637722015380859375e2), SC_(0.5471250742874498784335752261273680101442e3) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_i_prime_data.ipp b/src/boost/libs/math/test/bessel_i_prime_data.ipp
new file mode 100644
index 000000000..c6cde69d8
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_prime_data.ipp
@@ -0,0 +1,477 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 450
+#if LDBL_MAX_10_EXP < 370
+      - 36
+#endif
+   > bessel_i_prime_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(-142534136299562130024973134221.99005521993999868526) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(3266802.8196736368245987228932389940584716010368863) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(-2291130167743201604923486.7470168394180873251146683) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(1344490102.0814298977326531771280029458266767233075) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(-32540376529649616064637.054384142008796248247633549) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.637722015380859375e2), SC_(7147268346.3248078929703647247611304885252038670462) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.24750102996826171875e2), SC_(-990349288161909.27877000203289482196681509723184343) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.637722015380859375e2), SC_(119443067019517.62291415298106980016813953495181988) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.24750102996826171875e2), SC_(19023942618.631889641004140617446508059806168301492) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.637722015380859375e2), SC_(25951554033686744.924489835522535920574130661280939) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.95070552825927734375e1), SC_(-139935955680816392142241.6017739312504406079396547) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.24750102996826171875e2), SC_(-1316.4819205264052438206308151294983883218464343657) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.637722015380859375e2), SC_(97659860560077602476.5334648266576340476103312936) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.51139926910400390625e1), SC_(-21886385122041931939808640058.436968667167426884987) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.95070552825927734375e1), SC_(-366409917635868618.57259467125590453834420202165244) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.24750102996826171875e2), SC_(-0.65676331363722000059647957905593102805970617578866) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.637722015380859375e2), SC_(3557012660759047650461.532327709948603014817941907) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.177219114266335964202880859375e-2), SC_(1.4833367404804201575176799553131990442005390200221e-31) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.22177286446094512939453125e-2), SC_(9.7067363329468854142395046595693155072217998479942e-31) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.7444499991834163665771484375e-2), SC_(2.4682929270337628797042098965059154632607360182696e-26) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1433600485324859619140625e-1), SC_(5.9735339257834716574183494832987740754773091009375e-24) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1760916970670223236083984375e-1), SC_(3.3444608178960899374763518228608434403750200803958e-23) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.6152711808681488037109375e-1), SC_(1.1897217647554727497828427765278925609778771252694e-18) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.11958599090576171875e0), SC_(3.112388457299505077603547753672491840287143218901e-16) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.15262925624847412109375e0), SC_(2.4029211462799040331579944694685556203211458958864e-15) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.408089816570281982421875e0), SC_(9.1248397371567801754347274160120968479044369622808e-12) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.6540834903717041015625e0), SC_(4.7824858061924877937035072754189112286627442784541e-10) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1097540378570556640625e1), SC_(3.7357157150377308603849917033639687198183694823432e-08) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.30944411754608154296875e1), SC_(0.00028020048280478142178576824790264733624837467921411) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.51139926910400390625e1), SC_(0.029788046942789361031443182853628675678245310369738) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.95070552825927734375e1), SC_(26.790075656171534352605317140741843098322239283698) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.24750102996826171875e2), SC_(793253115.04894282077189591606690873895096254021978) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.637722015380859375e2), SC_(124597532591880012929558741.1798487805702969053126) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.177219114266335964202880859375e-2), SC_(7.9393797427103935193312904118641365643393472110682e-32) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.22177286446094512939453125e-2), SC_(5.2750361873309848688111983240733858118506477606492e-31) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.7444499991834163665771484375e-2), SC_(1.4561850484459152000175324059092409330365341115566e-26) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1433600485324859619140625e-1), SC_(3.6842735867028953425506020308884251003040007247277e-24) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1760916970670223236083984375e-1), SC_(2.0917201163762906692944412202556845245361847731237e-23) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.6152711808681488037109375e-1), SC_(8.099724957137276546627350759114925458695705536831e-19) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.11958599090576171875e0), SC_(2.2166188303591576397287172828602526472428149190877e-16) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.15262925624847412109375e0), SC_(1.7398898295816921704025845808278773511501789661039e-15) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.408089816570281982421875e0), SC_(7.0625243779726096513575976577390827520115876914691e-12) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.6540834903717041015625e0), SC_(3.8217061180073757347806489526965144626367691098288e-10) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.1097540378570556640625e1), SC_(3.0913372973610985976471301589555712666730023107543e-08) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.30944411754608154296875e1), SC_(0.00024830676215071733631164447908300056546252338891911) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.51139926910400390625e1), SC_(0.027225037364339635343941718253802560863885329512512) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.95070552825927734375e1), SC_(25.296697292204887546137285781211352894138008158535) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.24750102996826171875e2), SC_(773887818.69440844099959239658824877395876924432055) }}, 
+      {{ SC_(0.944411754608154296875e1), SC_(0.637722015380859375e2), SC_(123371059205722849456522471.39199589118773988433275) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.177219114266335964202880859375e-2), SC_(1.2286252390380290844561278210597794601482999571983e-104) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.22177286446094512939453125e-2), SC_(3.7181168789004272463796407464346105515848606922329e-102) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.7444499991834163665771484375e-2), SC_(9.2610851221489173483182330607686343001719727741597e-89) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1433600485324859619140625e-1), SC_(1.643476887122182179956901151590609432640352852077e-81) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1760916970670223236083984375e-1), SC_(3.0950958199468447682336413996941870547152191981674e-79) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.6152711808681488037109375e-1), SC_(2.1392038603823891823422157728886539760760291580653e-65) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.11958599090576171875e0), SC_(4.8064400564807594070701023433867803573129630888345e-58) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.15262925624847412109375e0), SC_(2.4032291539568302335053149943843587858638571389874e-55) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.408089816570281982421875e0), SC_(1.8234350315474405459152584644263976003971834673721e-44) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.6540834903717041015625e0), SC_(3.0241871675691159181451491339277900952524486071002e-39) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.1097540378570556640625e1), SC_(1.6205375716163189419960176666595505199258671513103e-33) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.30944411754608154296875e1), SC_(5.1477930447574412268206532943451913765254330040223e-22) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.51139926910400390625e1), SC_(2.1827206165702638933845082222556521417430730380844e-16) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.95070552825927734375e1), SC_(2.9195970485656579467760872558336916432951033483332e-09) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.24750102996826171875e2), SC_(10826.527068717066528491846218450353760561479759982) }}, 
+      {{ SC_(0.264718532562255859375e2), SC_(0.637722015380859375e2), SC_(1138075386232486817219014.8052993051304724020136075) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.177219114266335964202880859375e-2), SC_(1.632362010614025868688932327750627876605396014588e-275) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.22177286446094512939453125e-2), SC_(1.762381436841527011849001278447617221768896515477e-269) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.7444499991834163665771484375e-2), SC_(6.6759847143868307027065445521849777871007306954136e-237) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.1433600485324859619140625e-1), SC_(2.8413744248913192676665654065072379053073155149995e-219) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.1760916970670223236083984375e-1), SC_(9.6796251519365738433769389146932410237305854016773e-214) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.6152711808681488037109375e-1), SC_(4.3868562810147839682491489589259890784816573040545e-180) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.11958599090576171875e0), SC_(3.3133885952180986858287524787023329689682116102751e-162) }}, 
+      {{ SC_(0.62944732666015625e2), SC_(0.15262925624847412109375e0), SC_(1.2128190016563561979755446838988618653681374993639e-155) }}, 
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+      {{ SC_(-0.67001708984375e2), SC_(0.1760916970670223236083984375e-1), SC_(1.8200745294223299719259645343795820790086104600145e+231) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.6152711808681488037109375e-1), SC_(2.0552841306010258245904712429908698970209138298791e+194) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.11958599090576171875e0), SC_(4.8599074136394357477738859362200322327686066925173e+174) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.15262925624847412109375e0), SC_(3.0291712283242750374950591308689793715705627264649e+167) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.408089816570281982421875e0), SC_(2.7311361518237004467096782289378169109700518547074e+138) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.6540834903717041015625e0), SC_(3.1908839655190757699675391873689315010487055768747e+124) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.1097540378570556640625e1), SC_(1.6472120838529387950355967953886848057267684941894e+109) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.30944411754608154296875e1), SC_(3.9050576738763162147813896680294510397469818259809e+78) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.51139926910400390625e1), SC_(5.3546164511152300822211475272202193195389734723646e+63) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.95070552825927734375e1), SC_(2063636717424277900786624014685823705355667145.4769) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.24750102996826171875e2), SC_(17352084482088788.487115525087156830261883569699237) }}, 
+      {{ SC_(-0.67001708984375e2), SC_(0.637722015380859375e2), SC_(1882431939202.1648135308211699659682571426859828426) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.8115838623046875e2), SC_(0.177219114266335964202880859375e-2), SC_(5.4534028432761118007192924772575239045191902394704e+370) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.22177286446094512939453125e-2), SC_(5.4277253994376798514542354703405103943629816857712e+362) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.7444499991834163665771484375e-2), SC_(3.3519204517241688133176213581123468664876899502254e+319) }}, 
+#endif
+      {{ SC_(-0.8115838623046875e2), SC_(0.1433600485324859619140625e-1), SC_(1.3919521259627573812888913112386014488812170293336e+296) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.1760916970670223236083984375e-1), SC_(6.3973177361791839803876463324989774282107643381539e+288) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.6152711808681488037109375e-1), SC_(1.469152116429485146808535540983280079580954020274e+244) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.11958599090576171875e0), SC_(2.8511122230996487961690173652685484920725224243098e+220) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.15262925624847412109375e0), SC_(5.619617351979676575330554848862555516412060445716e+211) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.408089816570281982421875e0), SC_(4.5519176106779604525307972631027227044957665270988e+176) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.6540834903717041015625e0), SC_(6.6903710486678328388174061602778428129323021420939e+159) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.1097540378570556640625e1), SC_(2.2712273637429638291780059369921894631251180655941e+141) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.30944411754608154296875e1), SC_(2.2942619227544780341172279887214301587559519747559e+104) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.51139926910400390625e1), SC_(2.5918799812048500972623559251340558435277335398624e+86) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.95070552825927734375e1), SC_(1.6026607476891554347045540272329236130901801631704e+64) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.24750102996826171875e2), SC_(242221324852426376730984312833.83772575601709413801) }}, 
+      {{ SC_(-0.8115838623046875e2), SC_(0.637722015380859375e2), SC_(1617649.4354678509464238515107223191694738842428809) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.826751708984375e2), SC_(0.177219114266335964202880859375e-2), SC_(-3.3472423300617235905698843965441527482467443038007e+378) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.22177286446094512939453125e-2), SC_(-2.3708598693694264773788581512651012619352646209957e+370) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.7444499991834163665771484375e-2), SC_(-2.332724864540381393542054312015638284662343068144e+326) }}, 
+#endif
+      {{ SC_(-0.826751708984375e2), SC_(0.1433600485324859619140625e-1), SC_(-3.5853240695218770414340026925487536695026202308763e+302) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.1760916970670223236083984375e-1), SC_(-1.2062487642384866408885787920125470555828675792864e+295) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.6152711808681488037109375e-1), SC_(-4.1533132902226430058335777291251915410642650796069e+249) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.11958599090576171875e0), SC_(-2.9415592795451145762879834114133541803377334779173e+225) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.15262925624847412109375e0), SC_(-4.004567050888019716885840798964015187609154101286e+216) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.408089816570281982421875e0), SC_(-7.2979462110682988677653256370271393721462139889743e+180) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.6540834903717041015625e0), SC_(-5.2445445491935403760402688945078936122362998361533e+163) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.1097540378570556640625e1), SC_(-8.1205008350040740161924361771242389152554616754157e+144) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.30944411754608154296875e1), SC_(-1.7035976344726289794779047688107441677132607819582e+107) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.51139926910400390625e1), SC_(-8.9909599334196588720376409319670479241448485707598e+88) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.95070552825927734375e1), SC_(-2.1782704068871946390314388322315401827432575178739e+66) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.24750102996826171875e2), SC_(-7929786464052873454694960787901.4667046107734177419) }}, 
+      {{ SC_(-0.826751708984375e2), SC_(0.637722015380859375e2), SC_(321545.92541683308491005482853962116432717512366683) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.9150136566162109375e2), SC_(0.177219114266335964202880859375e-2), SC_(4.7752420315052949336918939109644955940954303442772e+422) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.22177286446094512939453125e-2), SC_(4.672634120247836025594825390538921093160126252829e+413) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.7444499991834163665771484375e-2), SC_(1.0485379500582573783963422858182793176684843645978e+365) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1433600485324859619140625e-1), SC_(4.9588309767452414656587518060761482771140983489273e+338) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1760916970670223236083984375e-1), SC_(2.7165255928105224887542359416164700903104546889451e+330) }}, 
+#endif
+      {{ SC_(-0.9150136566162109375e2), SC_(0.6152711808681488037109375e-1), SC_(1.497807463748589761253650413784068920373567963589e+280) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.11958599090576171875e0), SC_(3.0080093649297924281671604031447884036156057482282e+253) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.15262925624847412109375e0), SC_(4.7539750027411551907109895223967893837587731749743e+243) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.408089816570281982421875e0), SC_(1.4719508727838863380520715026742213519071684890979e+204) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.6540834903717041015625e0), SC_(1.6449195464092670640967089522948926701897555960104e+185) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.1097540378570556640625e1), SC_(2.6430119091530033396732708140520765341274049733711e+164) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.30944411754608154296875e1), SC_(5.9115764027661312131195221326888531041451116633443e+122) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.51139926910400390625e1), SC_(3.7197112296952982305915131248565370184780285801752e+102) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.95070552825927734375e1), SC_(3.8543142124302116693843918034725003223456148718633e+77) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.24750102996826171875e2), SC_(348388267420102255285974747952173178611.13131031835) }}, 
+      {{ SC_(-0.9150136566162109375e2), SC_(0.637722015380859375e2), SC_(17.286400157439880497643287768282457262827648723116) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.9297769927978515625e2), SC_(0.177219114266335964202880859375e-2), SC_(-8.6096503980045084060631217028712438055165886911886e+428) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.22177286446094512939453125e-2), SC_(-6.0500671156098795514612090856936433237677542773942e+419) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.7444499991834163665771484375e-2), SC_(-2.2716356285334738243587570010741763016518621060347e+370) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1433600485324859619140625e-1), SC_(-4.0830076639538008822282564946296990530674259214769e+343) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1760916970670223236083984375e-1), SC_(-1.6510576779808657903130227693644157913033679531897e+335) }}, 
+#endif
+      {{ SC_(-0.9297769927978515625e2), SC_(0.6152711808681488037109375e-1), SC_(-1.4357259752754892006168374205755635802741696352597e+284) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.11958599090576171875e0), SC_(-1.0809479648045584015360423564277119098233754619995e+257) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.15262925624847412109375e0), SC_(-1.1916646919576189758414592652440107018980490261704e+247) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.408089816570281982421875e0), SC_(-8.638225064394914906037494545527579038861486712648e+206) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.6540834903717041015625e0), SC_(-4.8107549813714765444834945102664921009336662482178e+187) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.1097540378570556640625e1), SC_(-3.6001527815737350249976258665050022440889901660339e+166) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.30944411754608154296875e1), SC_(-1.7437748164739759092994632686626404780818636870767e+124) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.51139926910400390625e1), SC_(-5.2299553434507716896730033035515525827291712767745e+103) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.95070552825927734375e1), SC_(-2.1754931209540505657945584435590968999379346502128e+78) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.24750102996826171875e2), SC_(-489279975179337971319178373473616570531.3971439032) }}, 
+      {{ SC_(-0.9297769927978515625e2), SC_(0.637722015380859375e2), SC_(3.1138768560695466319423973048004231865346267449754) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.935389862060546875e2), SC_(0.177219114266335964202880859375e-2), SC_(8.0688178046660875366942050870249859577328716707511e+432) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.22177286446094512939453125e-2), SC_(4.999383448280047113055758331657707347238205486511e+423) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.7444499991834163665771484375e-2), SC_(9.5125927980583022867114515572337437495117399461392e+373) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1433600485324859619140625e-1), SC_(1.1835928207186201022385742289755442651959073066336e+347) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1760916970670223236083984375e-1), SC_(4.2643753321755758261525152291365839944990421740241e+338) }}, 
+#endif
+      {{ SC_(-0.935389862060546875e2), SC_(0.6152711808681488037109375e-1), SC_(1.8373928724038541221126334929154886623721723225705e+287) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.11958599090576171875e0), SC_(9.5266501035622313460240539374572419922108689547011e+259) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.15262925624847412109375e0), SC_(9.1583452362584887942448014227032834584018777075674e+249) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.408089816570281982421875e0), SC_(3.8225458537373042747497871921768347574435957648151e+209) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.6540834903717041015625e0), SC_(1.6336092915853506194085733396806169927574155053434e+190) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.1097540378570556640625e1), SC_(9.1430486034815972347229929299380544940594950080099e+168) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.30944411754608154296875e1), SC_(2.4754146661833103046325727586668305634458514331458e+126) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.51139926910400390625e1), SC_(5.6015550870361440436224381624665089671870099327921e+105) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.95070552825927734375e1), SC_(1.6468719424732049243330466077339660623811177581325e+80) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.24750102996826171875e2), SC_(21822583907358811053037130811818444812165.178319021) }}, 
+      {{ SC_(-0.935389862060546875e2), SC_(0.637722015380859375e2), SC_(1.6202459650338070290292631729656915863467175104946) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.937735595703125e2), SC_(0.177219114266335964202880859375e-2), SC_(8.0161005650496153150047602127695384877112619587771e+433) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.22177286446094512939453125e-2), SC_(4.7121895935941112733161283913395552581627000221943e+424) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.7444499991834163665771484375e-2), SC_(6.7489578948819796465279387263947172505484245391434e+374) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1433600485324859619140625e-1), SC_(7.2008255544846527802962931875418402546205058253594e+347) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1760916970670223236083984375e-1), SC_(2.4722106319771409981962202279713651177220922375277e+339) }}, 
+#endif
+      {{ SC_(-0.937735595703125e2), SC_(0.6152711808681488037109375e-1), SC_(7.9429509269228682729842128076134590951021297525739e+287) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.11958599090576171875e0), SC_(3.5238628911760857836542016779741351841590639829531e+260) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.15262925624847412109375e0), SC_(3.1991972739448358110204969011793063969564333100632e+250) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.408089816570281982421875e0), SC_(1.0601971240221022602354878280169624328874560634695e+210) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.6540834903717041015625e0), SC_(4.0562439575631012229052052124587844501312876653207e+190) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1097540378570556640625e1), SC_(2.0106662549288149711576408799795159621946914414786e+169) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.30944411754608154296875e1), SC_(4.2689860721575865482937882844305926904950034096776e+126) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.51139926910400390625e1), SC_(8.5872417960685100852575406225311225858427442486195e+105) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.95070552825927734375e1), SC_(2.1838318227167159909330661401578980127070318992242e+80) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.24750102996826171875e2), SC_(23197169448600179547441723720594978575753.138073162) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.637722015380859375e2), SC_(1.2309347099719344463490707583889826485511714653677) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.98576263427734375e2), SC_(0.177219114266335964202880859375e-2), SC_(-1.8687794147885167928527457277252388516835959859959e+458) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.22177286446094512939453125e-2), SC_(-3.7414904239690255067784103942976601925541849352047e+448) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.7444499991834163665771484375e-2), SC_(-1.5965640944808407725667136065189840039921892348426e+396) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1433600485324859619140625e-1), SC_(-7.320115491126747037846038905532129894444596315101e+367) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1760916970670223236083984375e-1), SC_(-9.3602637245910292284844431270402505539514808231614e+358) }}, 
+#endif
+      {{ SC_(-0.98576263427734375e2), SC_(0.6152711808681488037109375e-1), SC_(-7.3916717585913259321075581039832457225596218078505e+304) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.11958599090576171875e0), SC_(-1.3478888688116558023036374939459624612058097364704e+276) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.15262925624847412109375e0), SC_(-3.791352786070543556669495535901730962928262885919e+265) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.408089816570281982421875e0), SC_(-1.1164173761672894180446421860085507515466492816839e+223) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.6540834903717041015625e0), SC_(-4.4321335487082397473738992166756126236385391918427e+202) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1097540378570556640625e1), SC_(-1.829299104513549751728801775792881677237395895807e+180) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.30944411754608154296875e1), SC_(-2.6775528532240954412317728650817376261367725674457e+135) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.51139926910400390625e1), SC_(-4.8343422017701947848142128610412996313627434863865e+113) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.95070552825927734375e1), SC_(-6.3086003964539024134807127345692279596917514234278e+86) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.24750102996826171875e2), SC_(-722013668091161834419632839820300702927946133.81195) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(-2.264907219938045514228468755131021109411846811226) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.99292266845703125e2), SC_(0.177219114266335964202880859375e-2), SC_(6.3109596228461854872163520399343533802066007997273e+461) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.22177286446094512939453125e-2), SC_(1.0760806168556900026257767345625819795477073735971e+452) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.7444499991834163665771484375e-2), SC_(1.9293939304434194212309231302798614709350838661324e+399) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1433600485324859619140625e-1), SC_(5.5332871155247746211972566869224511531763443385132e+370) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1760916970670223236083984375e-1), SC_(6.1066996996345030466111316476839821983070251825003e+361) }}, 
+#endif
+      {{ SC_(-0.99292266845703125e2), SC_(0.6152711808681488037109375e-1), SC_(1.9689590890048331266297095417142100126704729765354e+307) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.11958599090576171875e0), SC_(2.2310010193239478024976147029553786935350536128785e+278) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.15262925624847412109375e0), SC_(5.2695560767780991495852973930021573106179477154802e+267) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.408089816570281982421875e0), SC_(7.6734312870111071659149478157472838872919150437324e+224) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.6540834903717041015625e0), SC_(2.1731262202261953183006104408586425895083500928828e+204) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1097540378570556640625e1), SC_(6.1917639155808956800674607699793506771122938889882e+181) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.30944411754608154296875e1), SC_(4.3153445924488455539179250312521041882346379117739e+136) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.51139926910400390625e1), SC_(5.4391058088796766856830688105169584088705696305955e+114) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.95070552825927734375e1), SC_(4.558385392397380699165520108576973779945146181354e+87) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.24750102996826171875e2), SC_(2653762654218899644996572642732864700666903231.4459) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(4.4670744813706185429763687583551679887281326495188) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_i_prime_int_data.ipp b/src/boost/libs/math/test/bessel_i_prime_int_data.ipp
new file mode 100644
index 000000000..178c97d88
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_i_prime_int_data.ipp
@@ -0,0 +1,1987 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 1980> bessel_i_prime_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.00088609591919750015203076551463481289812081759457593) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.0011088650040236093434924259738776777082777117728366) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.003722275782133396649790935284938128705516556817227) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.0071681865751110609746510378519051273111721075420681) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.008804926126614467969087386987026758424777681208949) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.030778118603049061956303124312187349139104670901298) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.059899945189311456643393232325528632776126403440763) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.076537069171312995155266637603161226785362168868793) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.20832212130892514352270120184527358300711621253093) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.34484589720660571203268712177657285280507611555709) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.63565392939687165931975701385906830196228023376933) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(4.304586767845429639244166020309162877221031947039) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(27.026310609828701503222843893102992533224960967973) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(1669.6303950934903244727446466214615294086023903195) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(4428295881.3677779786815636628866430364992082651157) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(246567311915704274501887357.24020001512007921147054) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.50000058887414958452485804994744934952377336181573) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.50000092218537893261448430232179397590419077630156) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.50001039139876686065339052546517335546246153291185) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.50003853574407998926317310663333528092870153852384) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.50005814178781229442302267906313903386120382311391) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.50070998404154571459128156447054892961460345184902) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(0.5026840657714710757890236690799629757305465005453) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(0.50437501291751594265663420039241884122843561276152) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(0.53158863081248487334362919459520848093354880736601) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(0.58263043215568911299814886678184475770592474363462) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(0.7454322330858457449159781361157891562659959168394) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(3.8794322064706267194422881162259380140744641171029) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(24.879824200109264550070346070548572538675416510962) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(1589.6010892466270146562540500585578585568257598452) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(4341662415.1619366320979220433134729416481099471501) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(244657223419722976962060156.64526989576384593438155) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(5.7977642791440240594069365123737373446875473336019e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(1.1361983257670755452088629287120813120498174641957e-10) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(4.2977106585064563071965155077470765547580422080236e-09) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(3.0691624717963766687820586762992955366705538139243e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(5.6879465129841838118217352628667866284796929079985e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(2.4268994701713292881629948960548331673657583324918e-06) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(1.7833452482002047243884933100474315698557783900753e-05) }}, 
+      {{ SC_(0.4e1), SC_(0.15262925624847412109375e0), SC_(3.7102292783677070216850017034917460055257223905384e-05) }}, 
+      {{ SC_(0.4e1), SC_(0.408089816570281982421875e0), SC_(0.00071682270806809984142485696566273749789215179247911) }}, 
+      {{ SC_(0.4e1), SC_(0.6540834903717041015625e0), SC_(0.0030095810505154039505649035929324233185650471379949) }}, 
+      {{ SC_(0.4e1), SC_(0.1097540378570556640625e1), SC_(0.015058380627056309463722070322914223292754890572289) }}, 
+      {{ SC_(0.4e1), SC_(0.30944411754608154296875e1), SC_(0.59848912997745095317460689682974327447677370660399) }}, 
+      {{ SC_(0.4e1), SC_(0.51139926910400390625e1), SC_(7.1096561414745714565763810157506729038368017958419) }}, 
+      {{ SC_(0.4e1), SC_(0.95070552825927734375e1), SC_(765.16515717873090426778318670348842991572055594829) }}, 
+      {{ SC_(0.4e1), SC_(0.24750102996826171875e2), SC_(3229907987.7660192457647761075637335091559830439104) }}, 
+      {{ SC_(0.4e1), SC_(0.637722015380859375e2), SC_(217726882458479319415712565.5405744792891643352915) }}, 
+      {{ SC_(0.7e1), SC_(0.177219114266335964202880859375e-2), SC_(3.3614059042626999826433170034673583525940024533365e-22) }}, 
+      {{ SC_(0.7e1), SC_(0.22177286446094512939453125e-2), SC_(1.2909459381881364762226234760871640013723793229134e-21) }}, 
+      {{ SC_(0.7e1), SC_(0.7444499991834163665771484375e-2), SC_(1.8470204487525243740480774284818604942655055760685e-18) }}, 
+      {{ SC_(0.7e1), SC_(0.1433600485324859619140625e-1), SC_(9.4195456714879631145465581060971390240605913016647e-17) }}, 
+      {{ SC_(0.7e1), SC_(0.1760916970670223236083984375e-1), SC_(3.2351633825752615485614839434982271986658229352008e-16) }}, 
+      {{ SC_(0.7e1), SC_(0.6152711808681488037109375e-1), SC_(5.8873930260915374674989454237737730208377956367626e-13) }}, 
+      {{ SC_(0.7e1), SC_(0.11958599090576171875e0), SC_(3.175330254744452869252588114264639853167205817015e-11) }}, 
+      {{ SC_(0.7e1), SC_(0.15262925624847412109375e0), SC_(1.37306382819489632474481829981320999530458749603e-10) }}, 
+      {{ SC_(0.7e1), SC_(0.408089816570281982421875e0), SC_(5.0454108730606873004055781144584974598940725268679e-08) }}, 
+      {{ SC_(0.7e1), SC_(0.6540834903717041015625e0), SC_(8.6439452609012235664132667907912941487867684225691e-07) }}, 
+      {{ SC_(0.7e1), SC_(0.1097540378570556640625e1), SC_(1.9903149576891282438547022015958250025057830031167e-05) }}, 
+      {{ SC_(0.7e1), SC_(0.30944411754608154296875e1), SC_(0.01384785426742151623543148483577563767691802604294) }}, 
+      {{ SC_(0.7e1), SC_(0.51139926910400390625e1), SC_(0.51646140440419256730344781907930371686614842827865) }}, 
+      {{ SC_(0.7e1), SC_(0.95070552825927734375e1), SC_(159.36813435931220806214715239890071317771114319414) }}, 
+      {{ SC_(0.7e1), SC_(0.24750102996826171875e2), SC_(1690985569.3106283509427018529720200073122553490215) }}, 
+      {{ SC_(0.7e1), SC_(0.637722015380859375e2), SC_(168498224714212654572390223.05556865829883060936147) }}, 
+      {{ SC_(0.1e2), SC_(0.177219114266335964202880859375e-2), SC_(4.6401508807064011421143230437500824609602971352179e-34) }}, 
+      {{ SC_(0.1e2), SC_(0.22177286446094512939453125e-2), SC_(3.4923094749247058078410546677911647554526610700822e-33) }}, 
+      {{ SC_(0.1e2), SC_(0.7444499991834163665771484375e-2), SC_(1.8899811421673150137144505161791836254612211618897e-28) }}, 
+      {{ SC_(0.1e2), SC_(0.1433600485324859619140625e-1), SC_(6.8832366136666889223518611944268692193585979859144e-26) }}, 
+      {{ SC_(0.1e2), SC_(0.1760916970670223236083984375e-1), SC_(4.3811749288152295951419128719224259962904962831792e-25) }}, 
+      {{ SC_(0.1e2), SC_(0.6152711808681488037109375e-1), SC_(3.4007993440358828048688277506578232572337801931071e-20) }}, 
+      {{ SC_(0.1e2), SC_(0.11958599090576171875e0), SC_(1.3465706671882772570222972249225215948417542289846e-17) }}, 
+      {{ SC_(0.1e2), SC_(0.15262925624847412109375e0), SC_(1.2104671718281105291439858586423655467136695739629e-16) }}, 
+      {{ SC_(0.1e2), SC_(0.408089816570281982421875e0), SC_(8.4861533427406158688302946175483668209061388974216e-13) }}, 
+      {{ SC_(0.1e2), SC_(0.6540834903717041015625e0), SC_(5.9662275860826758024768567630605908594392319370419e-11) }}, 
+      {{ SC_(0.1e2), SC_(0.1097540378570556640625e1), SC_(6.4263427651003603907119851552021198456497504370918e-09) }}, 
+      {{ SC_(0.1e2), SC_(0.30944411754608154296875e1), SC_(9.0581095107475697200688757844596473845335178799724e-05) }}, 
+      {{ SC_(0.1e2), SC_(0.51139926910400390625e1), SC_(0.012810443388044946681969202159228942193660937870026) }}, 
+      {{ SC_(0.1e2), SC_(0.95070552825927734375e1), SC_(15.60592527978584992145630257468419287679106228448) }}, 
+      {{ SC_(0.1e2), SC_(0.24750102996826171875e2), SC_(627917302.57961419731735233323958352991397820713106) }}, 
+      {{ SC_(0.1e2), SC_(0.637722015380859375e2), SC_(113459532318575669036439276.87008888326253509718636) }}, 
+      {{ SC_(0.13e2), SC_(0.177219114266335964202880859375e-2), SC_(2.4456812841552206198331648276735838307208194344922e-46) }}, 
+      {{ SC_(0.13e2), SC_(0.22177286446094512939453125e-2), SC_(3.6072314405975860034046247177476173774735736367531e-45) }}, 
+      {{ SC_(0.13e2), SC_(0.7444499991834163665771484375e-2), SC_(7.3841412140501872128796578303854512307073208188581e-39) }}, 
+      {{ SC_(0.13e2), SC_(0.1433600485324859619140625e-1), SC_(1.9204924469115190774990181944476141427755118423913e-35) }}, 
+      {{ SC_(0.13e2), SC_(0.1760916970670223236083984375e-1), SC_(2.265387054446753441806331709049474788648043685053e-34) }}, 
+      {{ SC_(0.13e2), SC_(0.6152711808681488037109375e-1), SC_(7.5007699710758693280183732287855910132602175813639e-28) }}, 
+      {{ SC_(0.13e2), SC_(0.11958599090576171875e0), SC_(2.1805434139201279779292196568881545047834755581445e-24) }}, 
+      {{ SC_(0.13e2), SC_(0.15262925624847412109375e0), SC_(4.0750693309347507669124384883757014786263684741617e-23) }}, 
+      {{ SC_(0.13e2), SC_(0.408089816570281982421875e0), SC_(5.4554704607395994835687731495288041560338136372535e-18) }}, 
+      {{ SC_(0.13e2), SC_(0.6540834903717041015625e0), SC_(1.5765156159987458616185208468121472963104447350042e-15) }}, 
+      {{ SC_(0.13e2), SC_(0.1097540378570556640625e1), SC_(7.9815499244594723489982895111836413560647173692536e-13) }}, 
+      {{ SC_(0.13e2), SC_(0.30944411754608154296875e1), SC_(2.3892209736758076242780232919452695681175929051865e-07) }}, 
+      {{ SC_(0.13e2), SC_(0.51139926910400390625e1), SC_(0.00013818222370676455792480764228728714310023991375189) }}, 
+      {{ SC_(0.13e2), SC_(0.95070552825927734375e1), SC_(0.79222983175956140130590251649409265616457558165901) }}, 
+      {{ SC_(0.13e2), SC_(0.24750102996826171875e2), SC_(167246140.89233842710493520460530057726331634864968) }}, 
+      {{ SC_(0.13e2), SC_(0.637722015380859375e2), SC_(66527964895331490665084274.729414759711662772569263) }}, 
+      {{ SC_(0.16e2), SC_(0.177219114266335964202880859375e-2), SC_(6.2327384908390204003995267448223005543055023147294e-59) }}, 
+      {{ SC_(0.16e2), SC_(0.22177286446094512939453125e-2), SC_(1.8015510900104265741703505220228255217501640996067e-57) }}, 
+      {{ SC_(0.16e2), SC_(0.7444499991834163665771484375e-2), SC_(1.3949346528058263997335600963443464048028784827881e-49) }}, 
+      {{ SC_(0.16e2), SC_(0.1433600485324859619140625e-1), SC_(2.5908604714318098779930030083499935197035305885449e-45) }}, 
+      {{ SC_(0.16e2), SC_(0.1760916970670223236083984375e-1), SC_(5.6637734123262466962398777103859439677795421081841e-44) }}, 
+      {{ SC_(0.16e2), SC_(0.6152711808681488037109375e-1), SC_(7.9991945166921338198712046906168540061184875351317e-36) }}, 
+      {{ SC_(0.16e2), SC_(0.11958599090576171875e0), SC_(1.7073706303992054301380968751501078313087885491857e-31) }}, 
+      {{ SC_(0.16e2), SC_(0.15262925624847412109375e0), SC_(6.6336820967524499048416265672676448776377767154055e-30) }}, 
+      {{ SC_(0.16e2), SC_(0.408089816570281982421875e0), SC_(1.6964977370960940867904018220611621037203607694874e-23) }}, 
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+      {{ SC_(-0.79e2), SC_(-0.408089816570281982421875e0), SC_(6.36503109275278961131724617973150670884809100085e-170) }}, 
+      {{ SC_(-0.79e2), SC_(-0.6540834903717041015625e0), SC_(6.0898084719470202787549713824635043238285438147712e-154) }}, 
+      {{ SC_(-0.79e2), SC_(-0.1097540378570556640625e1), SC_(2.0849489482470412059259293955112926383959218775221e-136) }}, 
+      {{ SC_(-0.79e2), SC_(-0.30944411754608154296875e1), SC_(2.7755929193923341619599366432165290745895361503068e-101) }}, 
+      {{ SC_(-0.79e2), SC_(-0.51139926910400390625e1), SC_(3.0498646489259068012138998537230278724083029378205e-84) }}, 
+      {{ SC_(-0.79e2), SC_(-0.95070552825927734375e1), SC_(3.7822190240734211344697436228310459325646325013602e-63) }}, 
+      {{ SC_(-0.79e2), SC_(-0.24750102996826171875e2), SC_(5.0763751887669428908160377413843070315272619394593e-30) }}, 
+      {{ SC_(-0.79e2), SC_(-0.637722015380859375e2), SC_(15509034.088708430442808142776840096102763256428376) }}, 
+      {{ SC_(-0.82e2), SC_(-0.177219114266335964202880859375e-2), SC_(-4.8048862563202889181890537443326779885545248610242e-369) }}, 
+      {{ SC_(-0.82e2), SC_(-0.22177286446094512939453125e-2), SC_(-3.7231325849660746143336380063851346168130573371484e-361) }}, 
+      {{ SC_(-0.82e2), SC_(-0.7444499991834163665771484375e-2), SC_(-1.4825383087772703677121933113230100416009283671034e-318) }}, 
+      {{ SC_(-0.82e2), SC_(-0.1433600485324859619140625e-1), SC_(-1.6711182277052575836893718534668728582756108648312e-295) }}, 
+      {{ SC_(-0.82e2), SC_(-0.1760916970670223236083984375e-1), SC_(-2.8653470065901442471349796594633948569490121927789e-288) }}, 
+      {{ SC_(-0.82e2), SC_(-0.6152711808681488037109375e-1), SC_(-2.9290388140539613063288304116939069775353632716894e-244) }}, 
+      {{ SC_(-0.82e2), SC_(-0.11958599090576171875e0), SC_(-6.989588437838497498633490694257384354295169533204e-221) }}, 
+      {{ SC_(-0.82e2), SC_(-0.15262925624847412109375e0), SC_(-2.6731273786128594995441372203649359993461979500185e-212) }}, 
+      {{ SC_(-0.82e2), SC_(-0.408089816570281982421875e0), SC_(-1.0562510171246344218084352488817570605950194519393e-177) }}, 
+      {{ SC_(-0.82e2), SC_(-0.6540834903717041015625e0), SC_(-4.1609172226269596757660908595807745867150206089336e-161) }}, 
+      {{ SC_(-0.82e2), SC_(-0.1097540378570556640625e1), SC_(-6.7298102679330724106181833447827647907096714047206e-143) }}, 
+      {{ SC_(-0.82e2), SC_(-0.30944411754608154296875e1), SC_(-2.0059377323087951081667274371186273644145227822575e-106) }}, 
+      {{ SC_(-0.82e2), SC_(-0.51139926910400390625e1), SC_(-9.9294186782645320133623704220686212337084869523935e-89) }}, 
+      {{ SC_(-0.82e2), SC_(-0.95070552825927734375e1), SC_(-7.8516737724524765361257804357393329459841050420731e-67) }}, 
+      {{ SC_(-0.82e2), SC_(-0.24750102996826171875e2), SC_(-1.7520334090734988621562311121564391919297578081493e-32) }}, 
+      {{ SC_(-0.82e2), SC_(-0.637722015380859375e2), SC_(-661845.41868057886844507495847825147949109845357718) }}, 
+      {{ SC_(-0.85e2), SC_(-0.177219114266335964202880859375e-2), SC_(5.8472757925281335709441070120916109604930024452409e-384) }}, 
+      {{ SC_(-0.85e2), SC_(-0.22177286446094512939453125e-2), SC_(8.8791726773414850912512854292238871639394376398273e-376) }}, 
+      {{ SC_(-0.85e2), SC_(-0.7444499991834163665771484375e-2), SC_(1.3373691635430932409867433733092264367846631443699e-331) }}, 
+      {{ SC_(-0.85e2), SC_(-0.1433600485324859619140625e-1), SC_(1.0765404847203446320910822788131070879964149338772e-307) }}, 
+      {{ SC_(-0.85e2), SC_(-0.1760916970670223236083984375e-1), SC_(3.420838952015165818158018000931089841366043146575e-300) }}, 
+      {{ SC_(-0.85e2), SC_(-0.6152711808681488037109375e-1), SC_(1.4916380317089088216843268489867077713269951388358e-254) }}, 
+      {{ SC_(-0.85e2), SC_(-0.11958599090576171875e0), SC_(2.6135488501491766407431161565237945419126408844675e-230) }}, 
+      {{ SC_(-0.85e2), SC_(-0.15262925624847412109375e0), SC_(2.0781203049030925463263429601388263138063177457416e-221) }}, 
+      {{ SC_(-0.85e2), SC_(-0.408089816570281982421875e0), SC_(1.5695141280427997758020218417755528490733613885247e-185) }}, 
+      {{ SC_(-0.85e2), SC_(-0.6540834903717041015625e0), SC_(2.5456984433230137894914413111361227522822484252069e-168) }}, 
+      {{ SC_(-0.85e2), SC_(-0.1097540378570556640625e1), SC_(1.9451160142029278734236728286821772378084338638687e-149) }}, 
+      {{ SC_(-0.85e2), SC_(-0.30944411754608154296875e1), SC_(1.2982106047581298813134523396297908278237157397917e-111) }}, 
+      {{ SC_(-0.85e2), SC_(-0.51139926910400390625e1), SC_(2.8953015092379672002808952081487566053733334541789e-93) }}, 
+      {{ SC_(-0.85e2), SC_(-0.95070552825927734375e1), SC_(1.4606208585387583821716999258644880230045971888375e-70) }}, 
+      {{ SC_(-0.85e2), SC_(-0.24750102996826171875e2), SC_(5.4408313801020912656180501212839264038981557151731e-35) }}, 
+      {{ SC_(-0.85e2), SC_(-0.637722015380859375e2), SC_(25897.152181004517269750138033637774774294027201157) }}, 
+      {{ SC_(-0.88e2), SC_(-0.177219114266335964202880859375e-2), SC_(-6.3967392280596030279323854433032980999361288193673e-399) }}, 
+      {{ SC_(-0.88e2), SC_(-0.22177286446094512939453125e-2), SC_(-1.9035798676765477375707106012504409197237459683134e-390) }}, 
+      {{ SC_(-0.88e2), SC_(-0.7444499991834163665771484375e-2), SC_(-1.0845043229696536816589939558806337747262693806117e-344) }}, 
+      {{ SC_(-0.88e2), SC_(-0.1433600485324859619140625e-1), SC_(-6.2343066307351531677125296908505917958463867368011e-320) }}, 
+      {{ SC_(-0.88e2), SC_(-0.1760916970670223236083984375e-1), SC_(-3.6713233393263255015318969376892728032966858934394e-312) }}, 
+      {{ SC_(-0.88e2), SC_(-0.6152711808681488037109375e-1), SC_(-6.8286740416097889483960253094161116355961137599911e-265) }}, 
+      {{ SC_(-0.88e2), SC_(-0.11958599090576171875e0), SC_(-8.7850510192292171781935576131152961424001837737372e-240) }}, 
+      {{ SC_(-0.88e2), SC_(-0.15262925624847412109375e0), SC_(-1.4523001945931213963724402582050155086750135868739e-230) }}, 
+      {{ SC_(-0.88e2), SC_(-0.408089816570281982421875e0), SC_(-2.0965173883428983962808243031008372953025094614022e-193) }}, 
+      {{ SC_(-0.88e2), SC_(-0.6540834903717041015625e0), SC_(-1.4001057827881787318362535742853637138047693417883e-175) }}, 
+      {{ SC_(-0.88e2), SC_(-0.1097540378570556640625e1), SC_(-5.0539014586103948417980337852169920633032949579937e-156) }}, 
+      {{ SC_(-0.88e2), SC_(-0.30944411754608154296875e1), SC_(-7.5533392148555117094876622598604796141439853510179e-117) }}, 
+      {{ SC_(-0.88e2), SC_(-0.51139926910400390625e1), SC_(-7.5907438126908222770882865866850381553729181510969e-98) }}, 
+      {{ SC_(-0.88e2), SC_(-0.95070552825927734375e1), SC_(-2.4442318532108741067843417039652114734958529194241e-74) }}, 
+      {{ SC_(-0.88e2), SC_(-0.24750102996826171875e2), SC_(-1.5255185376367196961330937653065804471587161182596e-37) }}, 
+      {{ SC_(-0.88e2), SC_(-0.637722015380859375e2), SC_(-930.9184838624792218675752167087125839937752968732) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_j_data.ipp b/src/boost/libs/math/test/bessel_j_data.ipp
new file mode 100644
index 000000000..45e1a321c
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_data.ipp
@@ -0,0 +1,369 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 360> bessel_j_data = {{
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.553809732082299888134002685546875e-4), SC_(0.9956156809860747445801192500664050062602e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.69304020144045352935791015625e-4), SC_(0.9957146107589140226790508756099801328105e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.23264062474481761455535888671875e-3), SC_(0.9962489699005580621378590557841736186861e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.4480001516640186309814453125e-3), SC_(0.9965382149919219697926696508657333563376e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.5502865533344447612762451171875e-3), SC_(0.9966289891095531217170976766456612311928e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.19227224402129650115966796875e-2), SC_(0.9971807065952682162692966068389032708599e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.37370622158050537109375e-2), SC_(0.9974717909688313208758556750808530574188e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.47696642577648162841796875e-2), SC_(0.997577426859888822291081757361344556863e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1275280676782131195068359375e-1), SC_(0.9979773067040365116413896458097958587041e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.20440109074115753173828125e-1), SC_(0.9981222651757299264986454464589469235334e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.3429813683032989501953125e-1), SC_(0.9981619333713874456307490264513905997672e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.96701286733150482177734375e-1), SC_(0.9965812006107194383507063599312965181976e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.159812271595001220703125e0), SC_(0.9927699251072058869431015490774723070186e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.297095477581024169921875e0), SC_(0.9774885373571948238761430963137133013962e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.77344071865081787109375e0), SC_(0.8558678749290511288516105356098172615967e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1992881298065185546875e1), SC_(0.2283524941992771533363988837045423832888e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.3915013790130615234375e1), SC_(-0.401360440349915932533731778088781472183e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.79858455657958984375e1), SC_(0.1751115157942275375093377805999900633628e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1571910858154296875e2), SC_(-0.1426234585704966197380052262204215409713e0) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.31483119964599609375e2), SC_(0.1066310031567526427476684436417433539043e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.553809732082299888134002685546875e-4), SC_(0.9945164185569587230213539870667972875692e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.69304020144045352935791015625e-4), SC_(0.9946400847213057054537534776624837878946e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.23264062474481761455535888671875e-3), SC_(0.9953081108718330939070656828660938331342e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.4480001516640186309814453125e-3), SC_(0.9956697541222540255647650289685550550287e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.5502865533344447612762451171875e-3), SC_(0.9957832579906576456563607224027456916251e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.19227224402129650115966796875e-2), SC_(0.9964733546229106923992847311503904080801e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.37370622158050537109375e-2), SC_(0.9968380173570457415468434756113694340878e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.47696642577648162841796875e-2), SC_(0.9969706788099270079524162776507030382138e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.1275280676782131195068359375e-1), SC_(0.9974795810399399980819372250486803819028e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.20440109074115753173828125e-1), SC_(0.99767689617703742799168249521337668749e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.3429813683032989501953125e-1), SC_(0.997774089399990647214931657780519793888e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.96701286733150482177734375e-1), SC_(0.9963092188861358436843828984354699213759e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.159812271595001220703125e0), SC_(0.9925549713148663125876374807339340488473e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.297095477581024169921875e0), SC_(0.9773461257455259400626571167158074279339e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.77344071865081787109375e0), SC_(0.8558479783471517562239377557029974866496e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.1992881298065185546875e1), SC_(0.2284416118095148413691988171034857034998e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.3915013790130615234375e1), SC_(-0.4013573659865744373419228392808844392131e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.79858455657958984375e1), SC_(0.1751502024658724728242948804818811752031e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.1571910858154296875e2), SC_(-0.1425986283388769556266104448492207320811e0) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.31483119964599609375e2), SC_(0.1066145438340245056954574795725125118984e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.553809732082299888134002685546875e-4), SC_(0.9817093353081942469816526285068995358612e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.69304020144045352935791015625e-4), SC_(0.9821191746862947666429796292865148899257e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.23264062474481761455535888671875e-3), SC_(0.9843351663379732777023812441892374028968e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.4480001516640186309814453125e-3), SC_(0.9855363506977195696759812664468424040665e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.5502865533344447612762451171875e-3), SC_(0.9859135941901516415721117055805978018756e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.19227224402129650115966796875e-2), SC_(0.9882110091337713422555556649984351858334e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.37370622158050537109375e-2), SC_(0.9894314739398718125445096933051219189052e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.47696642577648162841796875e-2), SC_(0.9898786773968001423681957632107335237307e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.1275280676782131195068359375e-1), SC_(0.9916575656584680781858750626325680648059e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.20440109074115753173828125e-1), SC_(0.9924654079000974647945374252001453718364e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.3429813683032989501953125e-1), SC_(0.9932338692418333674513222303931472051914e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.96701286733150482177734375e-1), SC_(0.9931225190063597669143919008613986546829e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.159812271595001220703125e0), SC_(0.9900352203814238880722659452483734427322e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.297095477581024169921875e0), SC_(0.9756754635104943903830166510741270074568e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.77344071865081787109375e0), SC_(0.8556130162510752278666332268905263436046e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.1992881298065185546875e1), SC_(0.2294863665034258649591045326467545257489e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.3915013790130615234375e1), SC_(-0.4013203973956146567802727002608565844354e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.79858455657958984375e1), SC_(0.1756036258093201067742480797203249679677e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.1571910858154296875e2), SC_(-0.1423070182265885360371078443389686783143e0) }}, 
+      {{ SC_(0.186112499795854091644287109375e-2), SC_(0.31483119964599609375e2), SC_(0.1064212124432705753393290287137815754319e0) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.553809732082299888134002685546875e-4), SC_(0.9650707876272019770134952457282249740739e0) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.69304020144045352935791015625e-4), SC_(0.9658467964630894046501757076218342927801e0) }}, 
+      {{ SC_(0.35840012133121490478515625e-2), SC_(0.23264062474481761455535888671875e-3), SC_(0.9700478597469915082824318140123835180869e0) }}, 
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+      {{ SC_(0.618752574920654296875e1), SC_(0.31483119964599609375e2), SC_(-0.1318618402231476532997477360412655763119e0) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.121765325971199235226950916196533478569e-85) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.69304020144045352935791015625e-4), SC_(0.4348529040889526305872634896082273962461e-84) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.1054933471529069744215328306932288735002e-75) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.4480001516640186309814453125e-3), SC_(0.3634957360230243469527303257192252467733e-71) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.9646837024091091333308495040848415220353e-70) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.19227224402129650115966796875e-2), SC_(0.4432877465512047439464155651452389042106e-61) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.37370622158050537109375e-2), SC_(0.1770390010617740019194413844748485420908e-56) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.47696642577648162841796875e-2), SC_(0.8656739708490917931260774639401847905445e-55) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.1275280676782131195068359375e-1), SC_(0.5583631811182531205165895051362489723946e-48) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.20440109074115753173828125e-1), SC_(0.103106565969855434312386168894543598243e-44) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.3429813683032989501953125e-1), SC_(0.3954367464083906354438402796246817522015e-41) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.96701286733150482177734375e-1), SC_(0.5942588953071692102183170727631542245108e-34) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.159812271595001220703125e0), SC_(0.1787692223274770382718402566108351637629e-30) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.297095477581024169921875e0), SC_(0.3508566459949628001757525016826509424779e-26) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.77344071865081787109375e0), SC_(0.1467886618883000652209178210120183048119e-19) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.1992881298065185546875e1), SC_(0.4994542214744224454151505315307238073221e-13) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.3915013790130615234375e1), SC_(0.1997414520429768177432880178694168079225e-8) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.79858455657958984375e1), SC_(0.8220903046865285045445582707996957424813e-4) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.1571910858154296875e2), SC_(0.1635793592300323171799133620913882844268e0) }}, 
+      {{ SC_(0.15943050384521484375e2), SC_(0.31483119964599609375e2), SC_(-0.1436476010691620533772737806011732529468e0) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.720999514635082944998486378462042065548e-177) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.69304020144045352935791015625e-4), SC_(0.8099276041615658852408040879405710425224e-174) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.2401827789365385723264959328048209544024e-157) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.4480001516640186309814453125e-3), SC_(0.1967948222206320595051933567795148903452e-148) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.1233774769381781535909728004063264007336e-145) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.19227224402129650115966796875e-2), SC_(0.1283273428485489536447676425815813056886e-128) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.37370622158050537109375e-2), SC_(0.1405183787621580648869621961084314778533e-119) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.47696642577648162841796875e-2), SC_(0.2926396097007299560785500719585898203219e-116) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.1275280676782131195068359375e-1), SC_(0.6977736543795536782997046101038445558663e-103) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.20440109074115753173828125e-1), SC_(0.1821786218163979826416197870670171130133e-96) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.3429813683032989501953125e-1), SC_(0.1999210450604504410914425432107629502991e-89) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.96701286733150482177734375e-1), SC_(0.251157366530045646437718994576632141369e-75) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.159812271595001220703125e0), SC_(0.1710986365304126142935808274616325811609e-68) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.297095477581024169921875e0), SC_(0.4646227131059059595427604644829875800615e-60) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.77344071865081787109375e0), SC_(0.4784799239708328602598193913379505621018e-47) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.1992881298065185546875e1), SC_(0.3489752451870321457103722660567152768057e-34) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.3915013790130615234375e1), SC_(0.4889245759333297227698619173071154698185e-25) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.79858455657958984375e1), SC_(0.1664515950791679187310431924442476923109e-15) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.1571910858154296875e2), SC_(0.6205404214654629687787121851824504334876e-7) }}, 
+      {{ SC_(0.31320110321044921875e2), SC_(0.31483119964599609375e2), SC_(0.1484545929446900561639094358967123117739e0) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.8446839048780569280474710663682619972041e-380) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.69304020144045352935791015625e-4), SC_(0.1409702153899462689202357620502522957131e-373) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.5609316393869461530695885033806074145071e-340) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.4480001516640186309814453125e-3), SC_(0.8523357694224079855215503041727333034429e-322) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.4328973281194721121716411716842618698591e-316) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.19227224402129650115966796875e-2), SC_(0.2227580314514104775209901151215137968262e-281) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.37370622158050537109375e-2), SC_(0.6115485831827422144019763064445038756912e-263) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.47696642577648162841796875e-2), SC_(0.3595105306082387449978056548902672235759e-256) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.1275280676782131195068359375e-1), SC_(0.6964605680269546994812846826702862289074e-229) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.20440109074115753173828125e-1), SC_(0.8547757957801666890816087207766370541757e-216) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.3429813683032989501953125e-1), SC_(0.1962390821047959905705920637771295517402e-201) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.96701286733150482177734375e-1), SC_(0.1127581411317236750982950580839608146603e-172) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.159812271595001220703125e0), SC_(0.9790370659506770228693171342289984428576e-159) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.297095477581024169921875e0), SC_(0.1564948684865165000775450621480811627558e-141) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.77344071865081787109375e0), SC_(0.5502719787681308363007881451048037707171e-115) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.1992881298065185546875e1), SC_(0.9905301122130665466055237290421121475096e-89) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.3915013790130615234375e1), SC_(0.5149539828266276213224902637532044041335e-70) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.79858455657958984375e1), SC_(0.2564876610067021281696593047029893911603e-50) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.1571910858154296875e2), SC_(0.7745090555307013050588237027600011961354e-32) }}, 
+      {{ SC_(0.638867645263671875e2), SC_(0.31483119964599609375e2), SC_(0.7349468722273911955644415269211426919788e-14) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_j_int_data.ipp b/src/boost/libs/math/test/bessel_j_int_data.ipp
new file mode 100644
index 000000000..171c42c39
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_int_data.ipp
@@ -0,0 +1,233 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 224> bessel_j_int_data = {{
+      {{ SC_(0.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.999999999999251207960573702716351702855e0) }}, 
+      {{ SC_(0.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.9999999999988273810527038974545295287162e0) }}, 
+      {{ SC_(0.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.9999999999867867040328417323221266089012e0) }}, 
+      {{ SC_(0.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.9999999999509999668240905595691881208684e0) }}, 
+      {{ SC_(0.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.9999999999260704856506088935623108659333e0) }}, 
+      {{ SC_(0.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.9999999990974459030116346626772683432438e0) }}, 
+      {{ SC_(0.0), SC_(0.116783194243907928466796875e-3), SC_(0.9999999965904213884537241019212664253672e0) }}, 
+      {{ SC_(0.0), SC_(0.149052008055150508880615234375e-3), SC_(0.9999999944458747313939138453006009257493e0) }}, 
+      {{ SC_(0.0), SC_(0.3985252114944159984588623046875e-3), SC_(0.9999999602944143449661387732367591439684e0) }}, 
+      {{ SC_(0.0), SC_(0.63875340856611728668212890625e-3), SC_(0.999999897998523362367123063793585129913e0) }}, 
+      {{ SC_(0.0), SC_(0.10718167759478092193603515625e-2), SC_(0.999999712802220319854399500739679836503e0) }}, 
+      {{ SC_(0.0), SC_(0.302191521041095256805419921875e-2), SC_(0.9999977170084182855294667634808613841995e0) }}, 
+      {{ SC_(0.0), SC_(0.499413348734378814697265625e-2), SC_(0.9999937646673975145784086810883184951737e0) }}, 
+      {{ SC_(0.0), SC_(0.928423367440700531005859375e-2), SC_(0.9999784508673620039917059777810212577274e0) }}, 
+      {{ SC_(0.0), SC_(0.241700224578380584716796875e-1), SC_(0.9998539578359781705487991537766139314417e0) }}, 
+      {{ SC_(0.0), SC_(0.6227754056453704833984375e-1), SC_(0.9990306120021848197073447709696842002313e0) }}, 
+      {{ SC_(0.0), SC_(0.12234418094158172607421875e0), SC_(0.9962614745793813396644750956695984663693e0) }}, 
+      {{ SC_(0.0), SC_(0.249557673931121826171875e0), SC_(0.9844907414458467656383892255940207494775e0) }}, 
+      {{ SC_(0.0), SC_(0.4912221431732177734375e0), SC_(0.9405788968099850208754506401326367253837e0) }}, 
+      {{ SC_(0.0), SC_(0.98384749889373779296875e0), SC_(0.7722629604360946893704391598535972411534e0) }}, 
+      {{ SC_(0.0), SC_(0.11576130390167236328125e1), SC_(0.69201921296869073470763460902488953195e0) }}, 
+      {{ SC_(0.0), SC_(0.3451677799224853515625e1), SC_(-0.3729999217923199419780408144861949608561e0) }}, 
+      {{ SC_(0.0), SC_(0.788237094879150390625e1), SC_(0.1981996630505566917360863478152806154613e0) }}, 
+      {{ SC_(0.0), SC_(0.15848876953125e2), SC_(-0.1592255309532503835966920565319209366427e0) }}, 
+      {{ SC_(0.1e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.276904865934989734483098712606972348472e-4) }}, 
+      {{ SC_(0.1e1), SC_(0.69304020144045352935791015625e-4), SC_(0.3465201005121827144301015458593023209872e-4) }}, 
+      {{ SC_(0.1e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.1163203115854777552927670265943683111663e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.4480001516640186309814453125e-3), SC_(0.224000070212291655064298940047799298227e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.2751432662525235957510064043924201271744e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.19227224402129650115966796875e-2), SC_(0.9613607758541307952398436842542503763082e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.37370622158050537109375e-2), SC_(0.1868527846001727517468459203726183793639e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.47696642577648162841796875e-2), SC_(0.2384825347112756329700145763683641710414e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1275280676782131195068359375e-1), SC_(0.6376273757226442847790070686813990559145e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.20440109074115753173828125e-1), SC_(0.102195208064807658405217565669384689625e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.3429813683032989501953125e-1), SC_(0.1714654684930302330423492169172745899688e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.96701286733150482177734375e-1), SC_(0.4829414868544472860291893155827576361067e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.159812271595001220703125e0), SC_(0.7965130716107429048780909632824084802407e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.297095477581024169921875e0), SC_(0.1469147961900711346572957228234698754028e0) }}, 
+      {{ SC_(0.1e1), SC_(0.77344071865081787109375e0), SC_(0.3585147006385292414727602076757818503575e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1992881298065185546875e1), SC_(0.5771736137851551766101983376499833110574e0) }}, 
+      {{ SC_(0.1e1), SC_(0.3915013790130615234375e1), SC_(-0.3315763536880066424018546732060494035118e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.79858455657958984375e1), SC_(0.2325970018905132078980792992006627584192e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1571910858154296875e2), SC_(0.1373449658609949106151643744232618350175e0) }}, 
+      {{ SC_(0.1e1), SC_(0.31483119964599609375e2), SC_(-0.9230877498012981860222086238303332873573e-1) }}, 
+      {{ SC_(0.4e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.2449689884414968964700618717685524683171e-19) }}, 
+      {{ SC_(0.4e1), SC_(0.69304020144045352935791015625e-4), SC_(0.6007620436965929637530930219443973179641e-19) }}, 
+      {{ SC_(0.4e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.7628005478429104492672012434718507350272e-17) }}, 
+      {{ SC_(0.4e1), SC_(0.4480001516640186309814453125e-3), SC_(0.1049014316653821463646665194851778246401e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.2387945284954097519631184175866877863264e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.19227224402129650115966796875e-2), SC_(0.3559058080985751663501872629042355217152e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.37370622158050537109375e-2), SC_(0.5079135337601192358742525894357081341335e-12) }}, 
+      {{ SC_(0.4e1), SC_(0.47696642577648162841796875e-2), SC_(0.1347781590846459623440987284254345472313e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.1275280676782131195068359375e-1), SC_(0.6887924230376394398803439333202892325557e-10) }}, 
+      {{ SC_(0.4e1), SC_(0.20440109074115753173828125e-1), SC_(0.4545613845374467200233204286239376175147e-9) }}, 
+      {{ SC_(0.4e1), SC_(0.3429813683032989501953125e-1), SC_(0.3603506796835261381553751482886494436605e-8) }}, 
+      {{ SC_(0.4e1), SC_(0.96701286733150482177734375e-1), SC_(0.2276117732048184291309579825404846223101e-6) }}, 
+      {{ SC_(0.4e1), SC_(0.159812271595001220703125e0), SC_(0.1696502961325871806891524286212542749233e-5) }}, 
+      {{ SC_(0.4e1), SC_(0.297095477581024169921875e0), SC_(0.2019926506375704595965844529208340579256e-4) }}, 
+      {{ SC_(0.4e1), SC_(0.77344071865081787109375e0), SC_(0.9043871099795724296870802463629379435165e-3) }}, 
+      {{ SC_(0.4e1), SC_(0.1992881298065185546875e1), SC_(0.3356363239882888737614531598548044804195e-1) }}, 
+      {{ SC_(0.4e1), SC_(0.3915013790130615234375e1), SC_(0.2683403769106168710689421055914199402732e0) }}, 
+      {{ SC_(0.4e1), SC_(0.79858455657958984375e1), SC_(-0.1019714387996719292888771314960256244029e0) }}, 
+      {{ SC_(0.4e1), SC_(0.1571910858154296875e2), SC_(-0.1970617873757679766451608652880933303855e0) }}, 
+      {{ SC_(0.4e1), SC_(0.31483119964599609375e2), SC_(0.1274270375173584709656744808050405443416e0) }}, 
+      {{ SC_(0.7e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.2476758015173796525820991581584477984471e-35) }}, 
+      {{ SC_(0.7e1), SC_(0.69304020144045352935791015625e-4), SC_(0.1190333036597015037788087962950721904204e-34) }}, 
+      {{ SC_(0.7e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.5716870852680826502230510205353692076762e-31) }}, 
+      {{ SC_(0.7e1), SC_(0.4480001516640186309814453125e-3), SC_(0.561444224078444008798450658023844580616e-29) }}, 
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+      {{ SC_(0.28e2), SC_(0.553809732082299888134002685546875e-4), SC_(0.7963713582106584412097140308116466491608e-157) }}, 
+      {{ SC_(0.28e2), SC_(0.69304020144045352935791015625e-4), SC_(0.4248692230753312125913578638497606609336e-154) }}, 
+      {{ SC_(0.28e2), SC_(0.23264062474481761455535888671875e-3), SC_(0.2260553821923174448109780057299133388939e-139) }}, 
+      {{ SC_(0.28e2), SC_(0.4480001516640186309814453125e-3), SC_(0.2102847637959861796417097898716140319015e-131) }}, 
+      {{ SC_(0.28e2), SC_(0.5502865533344447612762451171875e-3), SC_(0.6660525810149796134788024971104638208402e-129) }}, 
+      {{ SC_(0.28e2), SC_(0.19227224402129650115966796875e-2), SC_(0.108813792122284445419802118573486294617e-113) }}, 
+      {{ SC_(0.28e2), SC_(0.37370622158050537109375e-2), SC_(0.1311802444742152354234077144037248874522e-105) }}, 
+      {{ SC_(0.28e2), SC_(0.47696642577648162841796875e-2), SC_(0.1215284288581256977996490020569407519253e-102) }}, 
+      {{ SC_(0.28e2), SC_(0.1275280676782131195068359375e-1), SC_(0.1106574120737639697400622354620027455407e-90) }}, 
+      {{ SC_(0.28e2), SC_(0.20440109074115753173828125e-1), SC_(0.6033198112217245150379653252026122716124e-85) }}, 
+      {{ SC_(0.28e2), SC_(0.3429813683032989501953125e-1), SC_(0.1187379908091547229246861752037218903857e-78) }}, 
+      {{ SC_(0.28e2), SC_(0.96701286733150482177734375e-1), SC_(0.4776253533970672888906190995310047058597e-66) }}, 
+      {{ SC_(0.28e2), SC_(0.159812271595001220703125e0), SC_(0.6137721383009946630525985606230109474371e-60) }}, 
+      {{ SC_(0.28e2), SC_(0.297095477581024169921875e0), SC_(0.2127051389870186274825552068510907743209e-52) }}, 
+      {{ SC_(0.28e2), SC_(0.77344071865081787109375e0), SC_(0.9135584911756594671676404048881870523782e-41) }}, 
+      {{ SC_(0.28e2), SC_(0.1992881298065185546875e1), SC_(0.2868280579406050057547310818758384973257e-29) }}, 
+      {{ SC_(0.28e2), SC_(0.3915013790130615234375e1), SC_(0.4227077578718476642466348871890940509389e-21) }}, 
+      {{ SC_(0.28e2), SC_(0.79858455657958984375e1), SC_(0.1291218836633488658985438527652338235293e-12) }}, 
+      {{ SC_(0.28e2), SC_(0.1571910858154296875e2), SC_(0.4222984862431763788622725393431592171924e-5) }}, 
+      {{ SC_(0.28e2), SC_(0.31483119964599609375e2), SC_(0.1996895117755311022877682593279374977116e0) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_j_large_data.ipp b/src/boost/libs/math/test/bessel_j_large_data.ipp
new file mode 100644
index 000000000..f287cc410
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_large_data.ipp
@@ -0,0 +1,79 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 70> bessel_j_large_data = {{
+      {{ SC_(0.725889492034912109375e1), SC_(0.725889492034912109375e1), SC_(0.2307850131230964328215158373258970201933e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.90838165283203125e1), SC_(0.331270090805281544869225081474258975783e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.30492671966552734375e2), SC_(0.1392044369140870127137144436194280008198e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.5872027587890625e2), SC_(-0.1034372792561996393994604565745500159306e0) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.7212715911865234375e2), SC_(-0.7703453431004507456085858477671512851731e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.25201507568359375e3), SC_(0.1959284506006571693892495807977692143684e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.48982421875e3), SC_(0.3554545809249573170321495025893136154241e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.62516943359375e3), SC_(-0.2922687275543058917680294015955588486854e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.1671535888671875e4), SC_(0.1607375857460556311523938125070882107754e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.26791259765625e4), SC_(-0.1488078416329900906439423002725322373542e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.4495525390625e4), SC_(-0.1140024419570086978904733358200459324628e-1) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.126748310546875e5), SC_(-0.3122722904155054704789731376588374939888e-2) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.209469140625e5), SC_(0.3655895534999378610724150587348023983602e-2) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.389408984375e5), SC_(-0.1325113645945403697015197310014126427368e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.725889492034912109375e1), SC_(0.6868013625729672215673766261089739717914e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.90838165283203125e1), SC_(0.2142196934269988501665220845763503388042e0) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.30492671966552734375e2), SC_(-0.6854165161240333873733646364329358362341e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.5872027587890625e2), SC_(0.9706365272921634392020123576878096972323e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.7212715911865234375e2), SC_(0.4318373430471325672009672522183904089517e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.25201507568359375e3), SC_(-0.3323948817558893756314993595448795803537e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.48982421875e3), SC_(-0.3208784009186279824559250801925804018465e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.62516943359375e3), SC_(0.2415910850536018880522735141575176512777e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.1671535888671875e4), SC_(-0.1232973481208096922064985021712946282434e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.26791259765625e4), SC_(0.1541293552432680038181584370193664107473e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.4495525390625e4), SC_(0.1002388002178436742775036807597412212988e-1) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.126748310546875e5), SC_(0.4739251557631330719337662497765662043458e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.209469140625e5), SC_(-0.4641170982395964367850932352617365960394e-2) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.389408984375e5), SC_(0.2364161829230146293999578445914286938024e-3) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.725889492034912109375e1), SC_(0.5389197635915806233390841938474448086338e-16) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.90838165283203125e1), SC_(0.3952459558161787055937696735475346378253e-13) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.30492671966552734375e2), SC_(0.1431568992863962918440953734528390055733e0) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.5872027587890625e2), SC_(0.8578089143574435265609743500241838450074e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.7212715911865234375e2), SC_(0.1410641386118672963443531500494113618346e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.25201507568359375e3), SC_(-0.2831444492336412069372220459848882424058e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.48982421875e3), SC_(-0.2314909531023927534092551249336846514091e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.62516943359375e3), SC_(0.2170848675622913630936132875332654675284e-1) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.1671535888671875e4), SC_(-0.9325685551001457451901386831696429723505e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.26791259765625e4), SC_(-0.6947960924639771467867037818061032165711e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.4495525390625e4), SC_(0.2522782171073615304290664333918949926448e-3) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.126748310546875e5), SC_(-0.7032986459719800448169085872312178500116e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.209469140625e5), SC_(0.5122201654532113914038286303179605549787e-2) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.389408984375e5), SC_(0.3118763746002366768916876665037341197225e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.725889492034912109375e1), SC_(0.1355459268067898658151384249990581267605e-46) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.90838165283203125e1), SC_(0.6263805301401313877353888242546513061021e-41) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.30492671966552734375e2), SC_(0.1202543691751492070742433226952612421088e-11) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.5872027587890625e2), SC_(0.1150759176943336800292116211528794948354e0) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.7212715911865234375e2), SC_(-0.1047430440042659670890981946453377232975e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.25201507568359375e3), SC_(-0.4086747435836167042364362710950743904056e-1) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.48982421875e3), SC_(-0.8183965550065315841115618961272005737216e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.62516943359375e3), SC_(0.2146006391006581305906226294562488601133e-1) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.1671535888671875e4), SC_(-0.1521907719127834149642973426124244709606e-1) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.26791259765625e4), SC_(-0.5359901862639028443437495673595828567149e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.4495525390625e4), SC_(-0.6687847432133282099926443966258547872974e-3) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.126748310546875e5), SC_(-0.7023133406228636526878960014610930229604e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.209469140625e5), SC_(0.5494684780269989275230320303506992388372e-2) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.389408984375e5), SC_(0.2133199464416083487500787075862183481877e-2) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.725889492034912109375e1), SC_(0.18957209567263693085259721077483394587e-63) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.90838165283203125e1), SC_(0.18129450849783963899751662717930347867e-56) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.30492671966552734375e2), SC_(0.799552979179394942566748705329500029705e-20) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.5872027587890625e2), SC_(0.1552366431895120369074625091623203198931e-3) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.7212715911865234375e2), SC_(0.1074534531973475595081469483471348487375e0) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.25201507568359375e3), SC_(-0.4021841759432511100331858349923571437074e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.48982421875e3), SC_(-0.2170518020212747257681494905588835722404e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.62516943359375e3), SC_(0.3200282452240180595697263016953209545847e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.1671535888671875e4), SC_(0.1388345457492732160509267345077835744377e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.26791259765625e4), SC_(-0.1211552634023650615661641900044154973817e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.4495525390625e4), SC_(-0.1044260623905249384981833094590727496255e-1) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.126748310546875e5), SC_(0.4589655631278176598474380175755836047107e-2) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.209469140625e5), SC_(-0.2719723241223086004132685612975137005354e-2) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.389408984375e5), SC_(-0.4035830877477336799210808243472842844322e-2) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_j_prime_data.ipp b/src/boost/libs/math/test/bessel_j_prime_data.ipp
new file mode 100644
index 000000000..f70d38274
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_prime_data.ipp
@@ -0,0 +1,733 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 720
+#if LDBL_MAX_10_EXP < 370
+      - 5
+#endif
+   > bessel_j_prime_data = {{
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.553809732082299888134002685546875e-4), SC_(7.9648978910149220644314151981633892502393579865714) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.69304020144045352935791015625e-4), SC_(6.3653848991988529988220477650241685520191503142332) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.23264062474481761455535888671875e-3), SC_(1.8971705960000986690398059822421160899926699465394) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.4480001516640186309814453125e-3), SC_(0.98529897246253853844800411025777530163752073502973) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.5502865533344447612762451171875e-3), SC_(0.80213378584577808385371731269994831627611100850731) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.19227224402129650115966796875e-2), SC_(0.22881945446922959370415245044176092614274648710909) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.37370622158050537109375e-2), SC_(0.11639238325218579687879378821010964741303634572024) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.47696642577648162841796875e-2), SC_(0.090285635947979939708760228970288288400405507095951) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1275280676782131195068359375e-1), SC_(0.028310110253065767611367722783039281567929780822508) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.20440109074115753173828125e-1), SC_(0.011437832630785135189848926023917028888883030118541) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.3429813683032989501953125e-1), SC_(-0.0042186780829510697643927657163520133060777440127718) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.96701286733150482177734375e-1), SC_(-0.043654403685014564129834014054367553568659669792961) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.159812271595001220703125e0), SC_(-0.076795076483668747332489412246651051532303741843621) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.297095477581024169921875e0), SC_(-0.14530589560654803595230285920771334403536798001997) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.77344071865081787109375e0), SC_(-0.35781255859257494677870346599515476750516695439221) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1992881298065185546875e1), SC_(-0.57709619128762175849182337519495024595142653978034) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.3915013790130615234375e1), SC_(0.032874697176171305159599881134984554120579875033562) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.79858455657958984375e1), SC_(-0.23248455952535491176666424888090762133592541368724) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.1571910858154296875e2), SC_(-0.13744744338917036209493697966640300199111782413145) }}, 
+      {{ SC_(0.4430477856658399105072021484375e-3), SC_(0.31483119964599609375e2), SC_(0.092384054297253080189500208979099324382934270491253) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.553809732082299888134002685546875e-4), SC_(9.9563140737354415945593422946525211226319134399898) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.69304020144045352935791015625e-4), SC_(7.9570862305908154157502670767893857144258643910134) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.23264062474481761455535888671875e-3), SC_(2.3719155181483651140283794679798873388028215296304) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.4480001516640186309814453125e-3), SC_(1.2319894744844574970516920107312783189510124193957) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.5502865533344447612762451171875e-3), SC_(1.0030112034602294475985095364967567453689835477452) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.19227224402129650115966796875e-2), SC_(0.28638350069997314241293417948854845587335617752927) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.37370622158050537109375e-2), SC_(0.14602972396377771654216460801323111364027557644216) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.47696642577648162841796875e-2), SC_(0.11351290994319074087410492441665358190230772804358) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.1275280676782131195068359375e-1), SC_(0.037008791924439581267986370097571362280888733460166) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.20440109074115753173828125e-1), SC_(0.016870508777086141024636797643775059196570100354985) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.3429813683032989501953125e-1), SC_(-0.0009748286242877649280689834700793092180965082559188) }}, 
+      {{ SC_(0.554432161152362823486328125e-3), SC_(0.96701286733150482177734375e-1), SC_(-0.042489525327810393709078101729898351459510301627119) }}, 
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+      {{ SC_(-0.773610293865203857421875e0), SC_(0.31483119964599609375e2), SC_(-0.070461745595949681092731243985402876714254585230743) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.553809732082299888134002685546875e-4), SC_(3411563292.9669796968942111028927746747449026912013) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.69304020144045352935791015625e-4), SC_(2046598362.3380277794050000226232431427674677129183) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.23264062474481761455535888671875e-3), SC_(129630922.50446339331155017819677365672220689660444) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.4480001516640186309814453125e-3), SC_(29124927.143476381060749270075197015061256245381856) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.5502865533344447612762451171875e-3), SC_(18229319.979238976100645658531262040951818547006941) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.19227224402129650115966796875e-2), SC_(1053897.956929569185955175319621657818949265062221) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.37370622158050537109375e-2), SC_(231841.1058891395815352896585377817238414867631727) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.47696642577648162841796875e-2), SC_(132973.34058880932283158982294999835148475126525153) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.1275280676782131195068359375e-1), SC_(14143.154724499012452193671302600271852897387117945) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.20440109074115753173828125e-1), SC_(4827.0002138856521246867589597595652858439787350198) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.3429813683032989501953125e-1), SC_(1483.6553845873024913995747798876739824063717521137) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.96701286733150482177734375e-1), SC_(139.26739836871849880232137398143962623378368507862) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.159812271595001220703125e0), SC_(43.976463496518941763685458110029121972927739474599) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.297095477581024169921875e0), SC_(10.387458193796098091458741004438449603082306315889) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.77344071865081787109375e0), SC_(0.99240849019214068933320060350367869050615793023443) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.1992881298065185546875e1), SC_(0.38007621281164781816882276366718911085812475276781) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.3915013790130615234375e1), SC_(0.29403596953295701246022014094101894218001927703594) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.79858455657958984375e1), SC_(-0.01837951078983691561532112217348471277074821384291) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.1571910858154296875e2), SC_(0.19427115245753018672180398439230100630688488506532) }}, 
+      {{ SC_(-0.1278498172760009765625e1), SC_(0.31483119964599609375e2), SC_(-0.13799728876142446935574975446216803968015474106104) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.553809732082299888134002685546875e-4), SC_(-1052534856334011.1715539380253442490393529354168594) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.69304020144045352935791015625e-4), SC_(-493567972016271.98593229233453766283237137175644106) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.23264062474481761455535888671875e-3), SC_(-8268281865770.6799723507075477047670236530702536031) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.4480001516640186309814453125e-3), SC_(-904509767542.57871242723570720295130551599003784941) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.5502865533344447612762451171875e-3), SC_(-451681172344.62275199563178724755053271724610716152) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.19227224402129650115966796875e-2), SC_(-6609106181.9315655323865091360718866593066117802884) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.37370622158050537109375e-2), SC_(-700748933.32738239550418059678170023119352690168661) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.47696642577648162841796875e-2), SC_(-307446225.29443781072879309174993795877958539308929) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.1275280676782131195068359375e-1), SC_(-11104382.334915614447662856663000022842550526037284) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.20440109074115753173828125e-1), SC_(-2257745.0631981596507978280357107785541246723841944) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.3429813683032989501953125e-1), SC_(-393215.54108344107745778732644950546167752024313407) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.96701286733150482177734375e-1), SC_(-11875.215377301361527607788678372426690815266675372) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.159812271595001220703125e0), SC_(-2178.2043791543280008244860279137202543771878307036) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.297095477581024169921875e0), SC_(-268.80841515377336154846614677034462642010213198625) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.77344071865081787109375e0), SC_(-10.653831565503460653054171073382042711333639447853) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.1992881298065185546875e1), SC_(-0.46405184762078718718459838928519754469724229927788) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.3915013790130615234375e1), SC_(-0.37388358442212335882627303155170282309105103172024) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.79858455657958984375e1), SC_(0.2605248427954328669351611971306267348449505723959) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.1571910858154296875e2), SC_(-0.0044288367831751747332630422754772844341893323667545) }}, 
+      {{ SC_(-0.2376763820648193359375e1), SC_(0.31483119964599609375e2), SC_(-0.0034984374041546566085717607248133391319551924960149) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.553809732082299888134002685546875e-4), SC_(-51998884562397766833638082608780563.737710080783588) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.69304020144045352935791015625e-4), SC_(-10373958678561228310418298843892260.299325543471815) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.23264062474481761455535888671875e-3), SC_(-1721193673013960740632763534764.5228214424091055852) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.4480001516640186309814453125e-3), SC_(-15499334906533236567606620530.200191728031049025026) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.5502865533344447612762451171875e-3), SC_(-3535003298421510578639833490.1298202600643335995787) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.19227224402129650115966796875e-2), SC_(-439752257691660682841541.75551794749699979175321037) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.37370622158050537109375e-2), SC_(-3705011706337639112308.1152209359387228834835931875) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.47696642577648162841796875e-2), SC_(-641530904911065947149.99803989774066863308464555235) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.1275280676782131195068359375e-1), SC_(-546132673072666047.00762658792974245303347213408634) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.20440109074115753173828125e-1), SC_(-18396701945112916.384895654825593702168225876869444) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.3429813683032989501953125e-1), SC_(-445744577892577.55674541900235843479039451134156993) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.96701286733150482177734375e-1), SC_(-259210670573.87288769946854267773996879304687746878) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.159812271595001220703125e0), SC_(-7010082148.1406965960052632072139869221477975711535) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.297095477581024169921875e0), SC_(-81491453.188992740300521508908029235919983115000153) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.77344071865081787109375e0), SC_(-85445.976575401714336017146103914454068580259978837) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.1992881298065185546875e1), SC_(-105.85384695262030240377338945392033413256061144355) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.3915013790130615234375e1), SC_(-1.1183215030957860901241466804409166833411563137547) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.79858455657958984375e1), SC_(-0.15924647968524992013750712539382612404853915739277) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.1571910858154296875e2), SC_(-0.13646497651694413062087338033835273332177981957281) }}, 
+      {{ SC_(-0.618752574920654296875e1), SC_(0.31483119964599609375e2), SC_(0.027827355903320065863025843071254167156921275283086) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.553809732082299888134002685546875e-4), SC_(8.4001523341827038432231402722998721443142330918029e+88) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.69304020144045352935791015625e-4), SC_(1.8796222553522528946620379625259071351108320901138e+87) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.23264062474481761455535888671875e-3), SC_(2.3081325916347882778073752606750486492668025854818e+78) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.4480001516640186309814453125e-3), SC_(3.478515150118406691595592053627769982231673500328e+73) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.5502865533344447612762451171875e-3), SC_(1.0670813727575964549272980712377341426694937581102e+72) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.19227224402129650115966796875e-2), SC_(6.6461334772063947653408668199451299578982343030567e+62) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.37370622158050537109375e-2), SC_(8.5619384530651836961194424228825518552684541970703e+57) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.47696642577648162841796875e-2), SC_(1.3719213377554659464306815751401633848492260535841e+56) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.1275280676782131195068359375e-1), SC_(7955158190212178420335468368124232663880717342110.2) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.20440109074115753173828125e-1), SC_(2687830185054672115670778035161362230550317234.9171) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.3429813683032989501953125e-1), SC_(417660847046267243923149265721102299918747.3327615) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.96701286733150482177734375e-1), SC_(9857412566370820437179391176824948.4480973116452753) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.159812271595001220703125e0), SC_(1982746222928083889201392122860.5529495215191051141) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.297095477581024169921875e0), SC_(54342658614656265715301011.291462576149999975040162) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.77344071865081787109375e0), SC_(4989069325897041578.9287143951601924931745358960062) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.1992881298065185546875e1), SC_(568820654109.75213716307392588957540692056153767208) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.3915013790130615234375e1), SC_(7228733.3457096840440213548757017280593929621744697) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.79858455657958984375e1), SC_(85.218410883780746589554552518759217135548634643101) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.1571910858154296875e2), SC_(0.083138583238802217337982342423668412467885504693672) }}, 
+      {{ SC_(-0.15943050384521484375e2), SC_(0.31483119964599609375e2), SC_(0.026092609809789979593703213872413724681414333167314) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.553809732082299888134002685546875e-4), SC_(6.732265130331118411406210733134040868570474523393e+180) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.69304020144045352935791015625e-4), SC_(4.7890805105156653308354285280134561894764616686371e+177) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.23264062474481761455535888671875e-3), SC_(4.8109334124012977057393970639279785207684445563722e+160) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.4480001516640186309814453125e-3), SC_(3.049052750399900587178257099373852751425565819684e+151) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.5502865533344447612762451171875e-3), SC_(3.9594237279973587787148322093805851499714508240285e+148) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.19227224402129650115966796875e-2), SC_(1.0894842839824276085850763917542395186000660442094e+131) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.37370622158050537109375e-2), SC_(5.1190963995973892592278162982935522403814915185721e+121) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.47696642577648162841796875e-2), SC_(1.9259093785260067277950959762634816738979484178694e+118) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.1275280676782131195068359375e-1), SC_(3.0209004816077561502611340316195266897611051320687e+104) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.20440109074115753173828125e-1), SC_(7.2189850508763419944174046157635499799131383398434e+97) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.3429813683032989501953125e-1), SC_(3.9203759513806755842698539491059510914538050043793e+90) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.96701286733150482177734375e-1), SC_(1.1068238961489066737178853560695046742443653655441e+76) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.159812271595001220703125e0), SC_(9.8310501753961151205121686731703916211875717169597e+68) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.297095477581024169921875e0), SC_(1.9474201739442400194932589993162245643234473214871e+60) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.77344071865081787109375e0), SC_(72637648749801605640594500299031420664728634405.057) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.1992881298065185546875e1), SC_(3865026197564005029397831991829306.6380852182772186) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.3915013790130615234375e1), SC_(1404011109550035690853366.2231718837052560358837621) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.79858455657958984375e1), SC_(201998574478312.5859314533387877544464625179036473) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.1571910858154296875e2), SC_(273866.85062463153642269420825285461481145130239201) }}, 
+      {{ SC_(-0.31320110321044921875e2), SC_(0.31483119964599609375e2), SC_(0.040177706317001652135569144163854139601049432365744) }}, 
+#if LDBL_MAX_10_EXP > 370
+      {{ SC_(-0.638867645263671875e2), SC_(0.553809732082299888134002685546875e-4), SC_(2.3698927678173738831066761972137110281877681762679e+383) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.69304020144045352935791015625e-4), SC_(1.1347435085188848198271269654218346241788725670797e+377) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.23264062474481761455535888671875e-3), SC_(8.4954816338456215028286500709836088758658594626306e+342) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.4480001516640186309814453125e-3), SC_(2.9033181046257357700429477801583184943123438667291e+324) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.5502865533344447612762451171875e-3), SC_(4.6538211817343001183895076979754694438753107525127e+318) }}, 
+#endif
+      {{ SC_(-0.638867645263671875e2), SC_(0.19227224402129650115966796875e-2), SC_(2.5884127570342517807802184680833064189350946360272e+283) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.37370622158050537109375e-2), SC_(4.8508986987836801234656433955696736929307399214621e+264) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.47696642577648162841796875e-2), SC_(6.4652313804985336441271270491093075957693244755895e+257) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.1275280676782131195068359375e-1), SC_(1.2481913994843204247151724194175209513818899114211e+230) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.20440109074115753173828125e-1), SC_(6.3452402812155401507978956824225465373086743151221e+216) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.3429813683032989501953125e-1), SC_(1.6471284344367667896225149421358528479494425365156e+202) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.96701286733150482177734375e-1), SC_(1.0167245949532858220681726036512131689235250729876e+173) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.159812271595001220703125e0), SC_(7.0855606144842314101921479749180352596328021493921e+158) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.297095477581024169921875e0), SC_(2.3844448492985196529635784175504063632397857898622e+141) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.77344071865081787109375e0), SC_(2.6048251069659582851724058248351336224666813212987e+114) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.1992881298065185546875e1), SC_(5.6160513564930999055692078692461392613591823835801e+87) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.3915013790130615234375e1), SC_(5.498812871670615045881011453415585469720132723112e+68) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.79858455657958984375e1), SC_(5411799740662393319191711873139592736080843868560.4) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.1571910858154296875e2), SC_(910129039949789177025388333870.53660912834462595725) }}, 
+      {{ SC_(-0.638867645263671875e2), SC_(0.31483119964599609375e2), SC_(477742493665.49170927134873191131936373256371654668) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_j_prime_int_data.ipp b/src/boost/libs/math/test/bessel_j_prime_int_data.ipp
new file mode 100644
index 000000000..7f89b9842
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_prime_int_data.ipp
@@ -0,0 +1,903 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 896> bessel_j_prime_int_data = {{
+      {{ SC_(0.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(-8.6532770637826959996036352233123749969269387214742e-07) }}, 
+      {{ SC_(0.0), SC_(0.216575062950141727924346923828125e-5), SC_(-1.082875314750073739565916601264494477250584335342e-06) }}, 
+      {{ SC_(0.0), SC_(0.72700195232755504548549652099609375e-5), SC_(-3.6350097616137599975154414859780356083927094699044e-06) }}, 
+      {{ SC_(0.0), SC_(0.14000004739500582218170166015625e-4), SC_(-7.0000023695787909349097782319695161608515974031987e-06) }}, 
+      {{ SC_(0.0), SC_(0.17196454791701398789882659912109375e-4), SC_(-8.5982273955328680071189358596754762829168944805573e-06) }}, 
+      {{ SC_(0.0), SC_(0.60085076256655156612396240234375e-4), SC_(-3.0042538114770070369352805041883730188463833118739e-05) }}, 
+      {{ SC_(0.0), SC_(0.116783194243907928466796875e-3), SC_(-5.8391597022408593884593798440128797224531413316046e-05) }}, 
+      {{ SC_(0.0), SC_(0.149052008055150508880615234375e-3), SC_(-7.4526003820611873275618570638597471453507592073022e-05) }}, 
+      {{ SC_(0.0), SC_(0.3985252114944159984588623046875e-3), SC_(-0.00019926260179128875596958527588421993087864972378482) }}, 
+      {{ SC_(0.0), SC_(0.63875340856611728668212890625e-3), SC_(-0.00031937668799461078462095468191142199676107353268414) }}, 
+      {{ SC_(0.0), SC_(0.10718167759478092193603515625e-2), SC_(-0.00053590831101805319884851555459274406344951933890925) }}, 
+      {{ SC_(0.0), SC_(0.302191521041095256805419921875e-2), SC_(-0.0015109558804534016451881641704527805135072146502315) }}, 
+      {{ SC_(0.0), SC_(0.499413348734378814697265625e-2), SC_(-0.0024970589586470101824905275711945163368773628504049) }}, 
+      {{ SC_(0.0), SC_(0.928423367440700531005859375e-2), SC_(-0.004642066820317960809690683300142997074645281491313) }}, 
+      {{ SC_(0.0), SC_(0.241700224578380584716796875e-1), SC_(-0.012084128757582752071806633114629290747504060716828) }}, 
+      {{ SC_(0.0), SC_(0.6227754056453704833984375e-1), SC_(-0.031123676287555626763445621624465166512983390930896) }}, 
+      {{ SC_(0.0), SC_(0.12234418094158172607421875e0), SC_(-0.061057708094690239849216568742821152478027199712044) }}, 
+      {{ SC_(0.0), SC_(0.249557673931121826171875e0), SC_(-0.12380996625346937610523536079167598077197103196986) }}, 
+      {{ SC_(0.0), SC_(0.4912221431732177734375e0), SC_(-0.23827696230364644118075077312728350231461010203119) }}, 
+      {{ SC_(0.0), SC_(0.98384749889373779296875e0), SC_(-0.43475639303623813062429779786150299582527673276141) }}, 
+      {{ SC_(0.0), SC_(0.11576130390167236328125e1), SC_(-0.48711647358966534000543577089846185147646818027478) }}, 
+      {{ SC_(0.0), SC_(0.3451677799224853515625e1), SC_(-0.15762889603997323748106344455034261827540551786683) }}, 
+      {{ SC_(0.0), SC_(0.788237094879150390625e1), SC_(-0.21620542081836905819230529903303065520772215849306) }}, 
+      {{ SC_(0.0), SC_(0.15848876953125e2), SC_(-0.11667862705625529027948213610287110911446401203924) }}, 
+      {{ SC_(0.1e1), SC_(0.553809732082299888134002685546875e-4), SC_(0.49999999942492771384298052799916741838663312550992) }}, 
+      {{ SC_(0.1e1), SC_(0.69304020144045352935791015625e-4), SC_(0.49999999909942864877671026019948448559391073505058) }}, 
+      {{ SC_(0.1e1), SC_(0.23264062474481761455535888671875e-3), SC_(0.499999989852188735328956350002167598643264662455) }}, 
+      {{ SC_(0.1e1), SC_(0.4480001516640186309814453125e-3), SC_(0.4999999623679750449477176449410603200324160738515) }}, 
+      {{ SC_(0.1e1), SC_(0.5502865533344447612762451171875e-3), SC_(0.49999994322213417259089023157928440742853321097516) }}, 
+      {{ SC_(0.1e1), SC_(0.19227224402129650115966796875e-2), SC_(0.4999993068386313094492273235957592720832822921268) }}, 
+      {{ SC_(0.1e1), SC_(0.37370622158050537109375e-2), SC_(0.49999738144616366882434596041523913440331476865703) }}, 
+      {{ SC_(0.1e1), SC_(0.47696642577648162841796875e-2), SC_(0.49999573443852669879893351364977629482653254035205) }}, 
+      {{ SC_(0.1e1), SC_(0.1275280676782131195068359375e-1), SC_(0.4999695064543116179615005455933450595992743509876) }}, 
+      {{ SC_(0.1e1), SC_(0.20440109074115753173828125e-1), SC_(0.49992166513677137770546149801804198933612439686551) }}, 
+      {{ SC_(0.1e1), SC_(0.3429813683032989501953125e-1), SC_(0.49977945010734455539681970982311210571822507220364) }}, 
+      {{ SC_(0.1e1), SC_(0.96701286733150482177734375e-1), SC_(0.49824779974515275629596562012328757837777712137835) }}, 
+      {{ SC_(0.1e1), SC_(0.159812271595001220703125e0), SC_(0.49521974412723318199543819892405982808588375931292) }}, 
+      {{ SC_(0.1e1), SC_(0.297095477581024169921875e0), SC_(0.48355135938900797260459530698530771097335947319244) }}, 
+      {{ SC_(0.1e1), SC_(0.77344071865081787109375e0), SC_(0.39241458162493758561769226797080928696562197564917) }}, 
+      {{ SC_(0.1e1), SC_(0.1992881298065185546875e1), SC_(-0.061619737135234892338595043962987165709230453576274) }}, 
+      {{ SC_(0.1e1), SC_(0.3915013790130615234375e1), SC_(-0.39290319605920753947168196339228416669899384044269) }}, 
+      {{ SC_(0.1e1), SC_(0.79858455657958984375e1), SC_(0.14583141931584640909010319204905863507861999460925) }}, 
+      {{ SC_(0.1e1), SC_(0.1571910858154296875e2), SC_(-0.15145963497536240984673974355792878883841231288619) }}, 
+      {{ SC_(0.1e1), SC_(0.31483119964599609375e2), SC_(0.10962844908422735210769459538120509525793203962829) }}, 
+      {{ SC_(0.4e1), SC_(0.553809732082299888134002685546875e-4), SC_(1.7693368262174888896238964738107003669524226043035e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.69304020144045352935791015625e-4), SC_(3.4674008369257558740171674373495893574096907864769e-15) }}, 
+      {{ SC_(0.4e1), SC_(0.23264062474481761455535888671875e-3), SC_(1.3115517509420754127960426519126947677168206400723e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.4480001516640186309814453125e-3), SC_(9.3661960380495629622137357856869182270416388742532e-13) }}, 
+      {{ SC_(0.4e1), SC_(0.5502865533344447612762451171875e-3), SC_(1.7357831132937968817392795017011916501489255871193e-12) }}, 
+      {{ SC_(0.4e1), SC_(0.19227224402129650115966796875e-2), SC_(7.4042049494318174815042257132143269722982060199314e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.37370622158050537109375e-2), SC_(5.4364988014235539823907985771899239309234261379898e-10) }}, 
+      {{ SC_(0.4e1), SC_(0.47696642577648162841796875e-2), SC_(1.1302940848397100770820867105606709545842201552472e-09) }}, 
+      {{ SC_(0.4e1), SC_(0.1275280676782131195068359375e-1), SC_(2.1604330248107663969856437007044251758680877766477e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.20440109074115753173828125e-1), SC_(8.8953857340211285658972412983716399290248998578182e-08) }}, 
+      {{ SC_(0.4e1), SC_(0.3429813683032989501953125e-1), SC_(4.2024449758229269593374321819654716690052660413216e-07) }}, 
+      {{ SC_(0.4e1), SC_(0.96701286733150482177734375e-1), SC_(9.4128451032217689955820303821981246359400931484752e-06) }}, 
+      {{ SC_(0.4e1), SC_(0.159812271595001220703125e0), SC_(4.2435277297319406236849305446892646307888302002941e-05) }}, 
+      {{ SC_(0.4e1), SC_(0.297095477581024169921875e0), SC_(0.00027135599414622583849557151099906031568896387896581) }}, 
+      {{ SC_(0.4e1), SC_(0.77344071865081787109375e0), SC_(0.0046069141899053437359811541838758520302589287908814) }}, 
+      {{ SC_(0.4e1), SC_(0.1992881298065185546875e1), SC_(0.060443414038447440668824241142946879836025954896153) }}, 
+      {{ SC_(0.4e1), SC_(0.3915013790130615234375e1), SC_(0.15177123109875292536846632004847563063080968171939) }}, 
+      {{ SC_(0.4e1), SC_(0.79858455657958984375e1), SC_(-0.23997697042213897502842907045349243873435595877447) }}, 
+      {{ SC_(0.4e1), SC_(0.1571910858154296875e2), SC_(-0.046434244536118374752598151975883899662991537841961) }}, 
+      {{ SC_(0.4e1), SC_(0.31483119964599609375e2), SC_(0.061817833121773152256991292145985522766508528770086) }}, 
+      {{ SC_(0.7e1), SC_(0.553809732082299888134002685546875e-4), SC_(3.1305528056638344867972886298683398144497717978537e-31) }}, 
+      {{ SC_(0.7e1), SC_(0.69304020144045352935791015625e-4), SC_(1.2022868570255225005663082021429250451610589556921e-30) }}, 
+      {{ SC_(0.7e1), SC_(0.23264062474481761455535888671875e-3), SC_(1.7201680056234174117633627993073749000743861640337e-27) }}, 
+      {{ SC_(0.7e1), SC_(0.4480001516640186309814453125e-3), SC_(8.7725630156789872544507544600717786563934226961732e-26) }}, 
+      {{ SC_(0.7e1), SC_(0.5502865533344447612762451171875e-3), SC_(3.0129431165931594932219997462581141884973596779344e-25) }}, 
+      {{ SC_(0.7e1), SC_(0.19227224402129650115966796875e-2), SC_(5.4822273190735084858521264396327901581626026123867e-22) }}, 
+      {{ SC_(0.7e1), SC_(0.37370622158050537109375e-2), SC_(2.9555564547986828192440474980580778563804193216626e-20) }}, 
+      {{ SC_(0.7e1), SC_(0.47696642577648162841796875e-2), SC_(1.2775679101016136207768793882190641810024614271416e-19) }}, 
+      {{ SC_(0.7e1), SC_(0.1275280676782131195068359375e-1), SC_(4.6675542199316705962508761747036734647552595402352e-17) }}, 
+      {{ SC_(0.7e1), SC_(0.20440109074115753173828125e-1), SC_(7.9131518097810249614823319782757539044033658685656e-16) }}, 
+      {{ SC_(0.7e1), SC_(0.3429813683032989501953125e-1), SC_(1.7662825516489034788084007541693872543504519440663e-14) }}, 
+      {{ SC_(0.7e1), SC_(0.96701286733150482177734375e-1), SC_(8.8692699965065814288047066394789611051021386707718e-12) }}, 
+      {{ SC_(0.7e1), SC_(0.159812271595001220703125e0), SC_(1.8058122351886366377394875534915789879166056857918e-10) }}, 
+      {{ SC_(0.7e1), SC_(0.297095477581024169921875e0), SC_(7.4352089564512688127753904684835081691106045906159e-09) }}, 
+      {{ SC_(0.7e1), SC_(0.77344071865081787109375e0), SC_(2.2675758396516885792509849125117055620920179094187e-06) }}, 
+      {{ SC_(0.7e1), SC_(0.1992881298065185546875e1), SC_(0.00057831078063158310356878944089232211326153287190001) }}, 
+      {{ SC_(0.7e1), SC_(0.3915013790130615234375e1), SC_(0.02041383080666513330673794768788259570924578070728) }}, 
+      {{ SC_(0.7e1), SC_(0.79858455657958984375e1), SC_(0.058218571837795162498597237894980109783789726930136) }}, 
+      {{ SC_(0.7e1), SC_(0.1571910858154296875e2), SC_(0.12685804245807057661668756481071566358164782614053) }}, 
+      {{ SC_(0.7e1), SC_(0.31483119964599609375e2), SC_(-0.14003757925102874842499033050664135459313874273098) }}, 
+      {{ SC_(0.1e2), SC_(0.553809732082299888134002685546875e-4), SC_(1.3188100873744963459319007199937751301543239180136e-47) }}, 
+      {{ SC_(0.1e2), SC_(0.69304020144045352935791015625e-4), SC_(9.9257391810363605974902541167749060462829253560831e-47) }}, 
+      {{ SC_(0.1e2), SC_(0.23264062474481761455535888671875e-3), SC_(5.3716413581512494979533716301487868688806543328621e-42) }}, 
+      {{ SC_(0.1e2), SC_(0.4480001516640186309814453125e-3), SC_(1.956322533586782024166087072125245785074691389279e-39) }}, 
+      {{ SC_(0.1e2), SC_(0.5502865533344447612762451171875e-3), SC_(1.2451942672168763628696126390467461044008454052638e-38) }}, 
+      {{ SC_(0.1e2), SC_(0.19227224402129650115966796875e-2), SC_(9.6646542478716484782923334506270056239127171552634e-34) }}, 
+      {{ SC_(0.1e2), SC_(0.37370622158050537109375e-2), SC_(3.8256902023746264329913659088962640909312860291508e-31) }}, 
+      {{ SC_(0.1e2), SC_(0.47696642577648162841796875e-2), SC_(3.4381674751993345896927555146196987111289718779677e-30) }}, 
+      {{ SC_(0.1e2), SC_(0.1275280676782131195068359375e-1), SC_(2.4009720114206249912516932040726579855824809221431e-26) }}, 
+      {{ SC_(0.1e2), SC_(0.20440109074115753173828125e-1), SC_(1.6760267381655761330373404298478901501611023208878e-24) }}, 
+      {{ SC_(0.1e2), SC_(0.3429813683032989501953125e-1), SC_(1.7674935377289799535780547690266397443950184066763e-22) }}, 
+      {{ SC_(0.1e2), SC_(0.96701286733150482177734375e-1), SC_(1.9893744092640228148907222276440233981950920601486e-18) }}, 
+      {{ SC_(0.1e2), SC_(0.159812271595001220703125e0), SC_(1.8286290537911967361002045729606766750322137799336e-16) }}, 
+      {{ SC_(0.1e2), SC_(0.297095477581024169921875e0), SC_(4.8412308070674532774125152283321995279577461389754e-14) }}, 
+      {{ SC_(0.1e2), SC_(0.77344071865081787109375e0), SC_(2.6223373246818731084792674469888003633557213743021e-10) }}, 
+      {{ SC_(0.1e2), SC_(0.1992881298065185546875e1), SC_(1.1965962205338207406958051169038464279159357115114e-06) }}, 
+      {{ SC_(0.1e2), SC_(0.3915013790130615234375e1), SC_(0.00037897494764987250758743729715466646906940633334082) }}, 
+      {{ SC_(0.1e2), SC_(0.79858455657958984375e1), SC_(0.049967594379099753800075924865486763413481109926599) }}, 
+      {{ SC_(0.1e2), SC_(0.1571910858154296875e2), SC_(-0.095219427072112411409532063707164797795149921454385) }}, 
+      {{ SC_(0.1e2), SC_(0.31483119964599609375e2), SC_(0.10827196177426450326870338063493299139382686828124) }}, 
+      {{ SC_(0.13e2), SC_(0.553809732082299888134002685546875e-4), SC_(2.121290231784798046752709655350864786529832117079e-64) }}, 
+      {{ SC_(0.13e2), SC_(0.69304020144045352935791015625e-4), SC_(3.1287742142665779825494951799930785776769478364188e-63) }}, 
+      {{ SC_(0.13e2), SC_(0.23264062474481761455535888671875e-3), SC_(6.4047142362327644859103125557956770544745144098238e-57) }}, 
+      {{ SC_(0.13e2), SC_(0.4480001516640186309814453125e-3), SC_(1.6657546057789064172662940915913489418437432496399e-53) }}, 
+      {{ SC_(0.13e2), SC_(0.5502865533344447612762451171875e-3), SC_(1.9648974865975549363172523443020646242481295483577e-52) }}, 
+      {{ SC_(0.13e2), SC_(0.19227224402129650115966796875e-2), SC_(6.5053729474100903943626156527590913198118862808397e-46) }}, 
+      {{ SC_(0.13e2), SC_(0.37370622158050537109375e-2), SC_(1.8907621746740377638542092734353671551811946804999e-42) }}, 
+      {{ SC_(0.13e2), SC_(0.47696642577648162841796875e-2), SC_(3.5328614364457558638310880096009890316651219791696e-41) }}, 
+      {{ SC_(0.13e2), SC_(0.1275280676782131195068359375e-1), SC_(4.7156437468577964105054800545225766621773238117231e-36) }}, 
+      {{ SC_(0.13e2), SC_(0.20440109074115753173828125e-1), SC_(1.355401186540478059654562132900988044653696693691e-33) }}, 
+      {{ SC_(0.13e2), SC_(0.3429813683032989501953125e-1), SC_(6.753189071873066495943722964871713531830224871692e-31) }}, 
+      {{ SC_(0.13e2), SC_(0.96701286733150482177734375e-1), SC_(1.7036345914826787093581881206307044168487995341273e-25) }}, 
+      {{ SC_(0.13e2), SC_(0.159812271595001220703125e0), SC_(7.069131202324893987734087462646174032528027700782e-23) }}, 
+      {{ SC_(0.13e2), SC_(0.297095477581024169921875e0), SC_(1.2029170744316206314629194819414371536976847699644e-19) }}, 
+      {{ SC_(0.13e2), SC_(0.77344071865081787109375e0), SC_(1.1535640591136223328357848970006202726033258192981e-14) }}, 
+      {{ SC_(0.13e2), SC_(0.1992881298065185546875e1), SC_(9.2127434442702321702847274180477102959755364382342e-10) }}, 
+      {{ SC_(0.13e2), SC_(0.3915013790130615234375e1), SC_(2.3991135775288520979528432073060764051878051022235e-06) }}, 
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+      {{ SC_(-0.28e2), SC_(-0.5502865533344447612762451171875e-3), SC_(-3.3890474248254996327151084925561729199754804280468e-125) }}, 
+      {{ SC_(-0.28e2), SC_(-0.19227224402129650115966796875e-2), SC_(-1.5846209045913117563690584777510326762478064618504e-110) }}, 
+      {{ SC_(-0.28e2), SC_(-0.37370622158050537109375e-2), SC_(-9.8287012674213475085751778447619765586738314670302e-103) }}, 
+      {{ SC_(-0.28e2), SC_(-0.47696642577648162841796875e-2), SC_(-7.1342463042761638479621914173663707222530213287231e-100) }}, 
+      {{ SC_(-0.28e2), SC_(-0.1275280676782131195068359375e-1), SC_(-2.429588469572142240566660573755205083906899187173e-88) }}, 
+      {{ SC_(-0.28e2), SC_(-0.20440109074115753173828125e-1), SC_(-8.2646087195479884834751053044047766276233401313221e-83) }}, 
+      {{ SC_(-0.28e2), SC_(-0.3429813683032989501953125e-1), SC_(-9.6934167323599723375550530190686059345268090063894e-77) }}, 
+      {{ SC_(-0.28e2), SC_(-0.96701286733150482177734375e-1), SC_(-1.3829632821676867764296795343744777696903912067403e-64) }}, 
+      {{ SC_(-0.28e2), SC_(-0.159812271595001220703125e0), SC_(-1.0753460562158684392951992246815136406008646385717e-58) }}, 
+      {{ SC_(-0.28e2), SC_(-0.297095477581024169921875e0), SC_(-2.0045475725123002142901050443842530482907334222436e-51) }}, 
+      {{ SC_(-0.28e2), SC_(-0.77344071865081787109375e0), SC_(-3.3060340756185361079992123698919448202181277586582e-40) }}, 
+      {{ SC_(-0.28e2), SC_(-0.1992881298065185546875e1), SC_(-4.0200700795397043427434898814337959480274381568252e-29) }}, 
+      {{ SC_(-0.28e2), SC_(-0.3915013790130615234375e1), SC_(-2.9945269706906671388876521983898372768110871060356e-21) }}, 
+      {{ SC_(-0.28e2), SC_(-0.79858455657958984375e1), SC_(-4.3461131808442452576611812536250778441599549912967e-13) }}, 
+      {{ SC_(-0.28e2), SC_(-0.1571910858154296875e2), SC_(-6.2830436864843404153634864362763782379989319422095e-06) }}, 
+      {{ SC_(-0.28e2), SC_(-0.31483119964599609375e2), SC_(0.038367367337169753016085766030182628326676691691779) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_j_prime_large_data.ipp b/src/boost/libs/math/test/bessel_j_prime_large_data.ipp
new file mode 100644
index 000000000..bd6c99919
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_j_prime_large_data.ipp
@@ -0,0 +1,147 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 140> bessel_j_prime_large_data = {{
+      {{ SC_(0.725889492034912109375e1), SC_(0.725889492034912109375e1), SC_(0.10324136466803984563203229652469623629494905060386) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.90838165283203125e1), SC_(-0.02593519786909798552765612804866897946479440240923) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.30492671966552734375e2), SC_(-0.047080257597058131629810223790028536535803474378352) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.5872027587890625e2), SC_(-0.014012844137446280573245916882913065491127263562409) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.7212715911865234375e2), SC_(0.054458376236420905446669301105156336564921757412998) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.25201507568359375e3), SC_(-0.04631537908062274011320210316705358881961610351373) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.48982421875e3), SC_(-0.0060649563874099807709114400005618647589566000275274) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.62516943359375e3), SC_(0.012835551477049571640571660215815149921761938180526) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.1671535888671875e4), SC_(-0.011072541953225443053992414821381330548274822359804) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.26791259765625e4), SC_(-0.0040203060731606304013884921160432530955952442348141) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.4495525390625e4), SC_(0.0034139588556494873718031282767885395559257062797421) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.126748310546875e5), SC_(-0.0063619266525178140158368519421343677753579228281661) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.209469140625e5), SC_(0.0041262286461927089884446344976275231300377278386951) }}, 
+      {{ SC_(0.725889492034912109375e1), SC_(0.389408984375e5), SC_(0.0038200212312170664560196435362151463527309870841345) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.725889492034912109375e1), SC_(0.057462719893084318361539149065422897696564571175617) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.90838165283203125e1), SC_(0.089659949266546722134954522036367247193058988843547) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.30492671966552734375e2), SC_(0.12633872153677020321938532744367216000151668982417) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.5872027587890625e2), SC_(-0.039767591955586498741396845171957099912226432000865) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.7212715911865234375e2), SC_(-0.083496440278016227431907268266550165065468867450589) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.25201507568359375e3), SC_(0.050140892713800893925169241151468499209389597189675) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.48982421875e3), SC_(0.016470253023231229541583713819252014340846711119823) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.62516943359375e3), SC_(-0.020868036617164333317499092590900743227059722683943) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.1671535888671875e4), SC_(0.015131003921115804387763234316617494904361226471306) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.26791259765625e4), SC_(-0.00025776076911176488080270947080572768047082536025358) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.4495525390625e4), SC_(-0.0064146804589290934910910255823390516155409201653211) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.126748310546875e5), SC_(0.0052692128979686692152179587325105711420628312559325) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.209469140625e5), SC_(-0.0029750511422684484033284943126605056780047972340025) }}, 
+      {{ SC_(0.90838165283203125e1), SC_(0.389408984375e5), SC_(-0.0040363956776524008824366722987028718976389893753723) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.725889492034912109375e1), SC_(2.2009282551860363066177321141913731260702490454568e-16) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.90838165283203125e1), SC_(1.268567517734958812856154382495289912629011923375e-13) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.30492671966552734375e2), SC_(0.041155216713217603231035232573648092856381622367508) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.5872027587890625e2), SC_(0.061376927705003855129212468972991761962182848992945) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.7212715911865234375e2), SC_(0.088401817468658069749511879090439967366096121211858) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.25201507568359375e3), SC_(0.041500824659655892935314961717358669503680772969897) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.48982421875e3), SC_(-0.027605351279641337124315645812803124172587505416502) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.62516943359375e3), SC_(0.023369907623823060432689710507773439859903216180384) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.1671535888671875e4), SC_(-0.017139447809568956103724958233112903039374240787091) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.26791259765625e4), SC_(0.013761343728747804944284675651293617827582723926078) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.4495525390625e4), SC_(0.011897239492850689700750258421867622373745126183724) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.126748310546875e5), SC_(0.00087453360740882640476003410657010979376627330391768) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.209469140625e5), SC_(-0.0020385356170116955722604854558013002335640685341094) }}, 
+      {{ SC_(0.30492671966552734375e2), SC_(0.389408984375e5), SC_(0.0025732209720762338651017691860113498189531192827353) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.725889492034912109375e1), SC_(1.0882205936621337531301878051357240543222252109118e-46) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.90838165283203125e1), SC_(4.0011829386688060680708870451239959918295214971328e-41) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.30492671966552734375e2), SC_(1.9861251876723715790258913073673705891724091763284e-12) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.5872027587890625e2), SC_(0.026803238704567074704786160892272450490650925117104) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.7212715911865234375e2), SC_(0.071688955465646812616034961090538049938702404253361) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.25201507568359375e3), SC_(-0.02953030207585916855278297700753600030678645033374) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.48982421875e3), SC_(0.034998521345438710476427048981210570680356697292086) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.62516943359375e3), SC_(-0.023625415343510772396066436304243894988947060871843) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.1671535888671875e4), SC_(-0.012213854972075787826217927896889591281633987973704) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.26791259765625e4), SC_(0.014452656764003670482350075185007132236610571799515) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.4495525390625e4), SC_(0.011880840217676056709634490156510101123348489247046) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.126748310546875e5), SC_(-0.00095009037575978097221300314119557528457640310323889) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.209469140625e5), SC_(-0.00044802889763068082118980748303517763314743735661281) }}, 
+      {{ SC_(0.5872027587890625e2), SC_(0.389408984375e5), SC_(0.0034347666965478536109693620917840161523232847463224) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.725889492034912109375e1), SC_(1.8742291056685367486604835067483670117700044247127e-63) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.90838165283203125e1), SC_(1.4282081159646625696876562768953687202787247683419e-56) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.30492671966552734375e2), SC_(1.7167327540138663434373759647457727172926767815842e-20) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.5872027587890625e2), SC_(0.00011313949904159594988405034687041720129094704143894) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.7212715911865234375e2), SC_(0.023413123848599003224460315503587068133802297999475) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.25201507568359375e3), SC_(0.030671536528689248199571601276457879053134513618087) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.48982421875e3), SC_(0.028738897491231363831635227038760428260445144664004) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.62516943359375e3), SC_(-0.0010093419342560062527810763369997012568981525934777) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.1671535888671875e4), SC_(-0.013719590480575821360869872767879279517259291740196) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.26791259765625e4), SC_(-0.0095296031487014712579566785405350334423544985895886) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.4495525390625e4), SC_(-0.0057061748346359058350002402346872461124279845559405) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.126748310546875e5), SC_(-0.0054003673139833103975219612528577819134697347524516) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.209469140625e5), SC_(0.004795382262258735983589266249514105404812153080133) }}, 
+      {{ SC_(0.7212715911865234375e2), SC_(0.389408984375e5), SC_(-0.00024582533629175284743870583752200842392083317439995) }},
+      {{ SC_(-0.725889492034912109375e1), SC_(0.725889492034912109375e1), SC_(0.075010240400860322613588322385784928118364880736695) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.90838165283203125e1), SC_(0.17292120210126263561415023262372069502366047591587) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.30492671966552734375e2), SC_(0.1300230135708545251451284632662913618590497005281) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.5872027587890625e2), SC_(-0.065049311803174387754506604162390029198372383266164) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.7212715911865234375e2), SC_(-0.092830783074932671605437743276082693692863587333459) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.25201507568359375e3), SC_(0.045985329695857270068873731671899604557425267363133) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.48982421875e3), SC_(0.029986669098159366984601159676748450668424644451746) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.62516943359375e3), SC_(-0.030045984815826954584409983717226929463292637207141) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.1671535888671875e4), SC_(0.019284132813714522523037501521681463406050537069753) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.26791259765625e4), SC_(-0.0080504538932434871427480062765520293263706838952802) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.4495525390625e4), SC_(-0.010628632050827181522697574008666509306629190691784) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.126748310546875e5), SC_(0.0021019987551443021088489912211629336815395795677434) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.209469140625e5), SC_(-0.00017862326343335141326573661614068444901895674829948) }}, 
+      {{ SC_(-0.725889492034912109375e1), SC_(0.389408984375e5), SC_(-0.0035874118948545397421834819042679544717287334585026) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.725889492034912109375e1), SC_(0.085262034198347563263534433024129293612834560767137) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.90838165283203125e1), SC_(-0.041893287944850898762914151037199350780089556519602) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.30492671966552734375e2), SC_(-0.13840522823984569236571362285136981294601880444501) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.5872027587890625e2), SC_(0.06326858680033948924267215787799379348173705577273) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.7212715911865234375e2), SC_(0.091615612798265726399791491917396789588660321158487) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.25201507568359375e3), SC_(-0.049251301178573950940827837522525581224323805090589) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.48982421875e3), SC_(-0.024248736158355953777484052994943618355691120575526) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.62516943359375e3), SC_(0.026432004312796279515226168665514805947400354314947) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.1671535888671875e4), SC_(-0.017817486075726423885421685964689132728689188133227) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.26791259765625e4), SC_(0.0042605971396147240047442031727720954466985706216351) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.4495525390625e4), SC_(0.0088024530022866310316562284067475973211940610402256) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.126748310546875e5), SC_(-0.0038539827573016516124883159655524837754568464110856) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.209469140625e5), SC_(0.0016644608915323727662114862649150576045954366002272) }}, 
+      {{ SC_(-0.90838165283203125e1), SC_(0.389408984375e5), SC_(0.0039587905883269263929263562363636527497358688466854) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.725889492034912109375e1), SC_(-812641609167090.25643280771442754871632055541314833) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.90838165283203125e1), SC_(-884852329238.54500126975482320664733117521288415775) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.30492671966552734375e2), SC_(-0.073568862465630781217719784502000848867410243108955) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.5872027587890625e2), SC_(-0.072740113388965194704013050733085916130032490364337) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.7212715911865234375e2), SC_(-0.011570388777069726809133239807825326725652565241199) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.25201507568359375e3), SC_(0.02897032755874979635831525730554684915565177531416) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.48982421875e3), SC_(0.0224909807920612239400031810520859918909229844082) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.62516943359375e3), SC_(-0.021157709835773537825215605681736856963628404676255) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.1671535888671875e4), SC_(0.0089322479384135777485760676963754763166016418270993) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.26791259765625e4), SC_(0.0072598836667662590078603550886094415409693575729519) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.4495525390625e4), SC_(2.0341896831741316511607269818484994376983865246926e-05) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.126748310546875e5), SC_(0.0070511994537966677583454970337743924020998871474901) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.209469140625e5), SC_(-0.0051677166686131394281319583004701439612246720092222) }}, 
+      {{ SC_(-0.30492671966552734375e2), SC_(0.389408984375e5), SC_(-0.0030587347103217577403313023977419490435264823911065) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.725889492034912109375e1), SC_(-2490598589530532918901026917005018213179419706.6979) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.90838165283203125e1), SC_(-4306457414448048792057782801355896791103.1735406647) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.30492671966552734375e2), SC_(-6659159035.9177809840192869360262230712725099102536) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.5872027587890625e2), SC_(-0.053893470599785658911598519210101221005956728731929) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.7212715911865234375e2), SC_(-0.047203056970663100651101522881499140175465324876385) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.25201507568359375e3), SC_(0.049492577025895209566271144439318016408840480455371) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.48982421875e3), SC_(-0.016104474272828827391828092345913186310788018340556) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.62516943359375e3), SC_(-0.0013604482241225644983243058431224219484242945740896) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.1671535888671875e4), SC_(0.019507233002347143580436951008831698338694979444064) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.26791259765625e4), SC_(-0.0050982749418564724446058338132936532772165932995438) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.4495525390625e4), SC_(-0.0070671875681923095500609735352864351792318784880567) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.126748310546875e5), SC_(0.0060137507828957318886109570818828783017563089621599) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.209469140625e5), SC_(-0.0039447819238648396445588000685008421672396759074184) }}, 
+      {{ SC_(-0.5872027587890625e2), SC_(0.389408984375e5), SC_(-0.0038342070305193476943523937859241248143902150846196) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.725889492034912109375e1), SC_(-8.9961838527297942274719779804045778863286089313031e+61) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.90838165283203125e1), SC_(-7.5167877096039971015777758344454965524761227820002e+54) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.30492671966552734375e2), SC_(-506952799834887823.85782440141966242525150761499231) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.5872027587890625e2), SC_(-13.257231766335022838646782567251259287955614056549) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.7212715911865234375e2), SC_(0.0053955431520634703099897474186201412616152929858934) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.25201507568359375e3), SC_(0.043218023874828779689533995082260620778553365126069) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.48982421875e3), SC_(0.03481430835746538985346981750017950705669748843079) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.62516943359375e3), SC_(-0.013293663607688604968580527846149022126938760163712) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.1671535888671875e4), SC_(-0.018032564444017678971442941171935185432231135240593) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.26791259765625e4), SC_(-0.0040680527446346280495913667175615878400455056205867) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.4495525390625e4), SC_(-0.0011955997706384835733521148536147887229015063929401) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.126748310546875e5), SC_(-0.0067601510171817445966096633306319288060682821068724) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.209469140625e5), SC_(0.0054755679536842675831712821454104474653176771646281) }}, 
+      {{ SC_(-0.7212715911865234375e2), SC_(0.389408984375e5), SC_(0.0013432302588697356293697664384457952182799873797) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_k_data.ipp b/src/boost/libs/math/test/bessel_k_data.ipp
new file mode 100644
index 000000000..927e6640c
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_data.ipp
@@ -0,0 +1,272 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 263> bessel_k_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(0.6579017807810652710369517871806355927214e29) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(0.2395518238062557960566710371847643552469e-8) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1252804412841796875e3), SC_(0.3069043255911758700865294859650240330974e-44) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.25554705810546875e3), SC_(0.2303430936664631154413247069375132759954e-106) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.503011474609375e3), SC_(0.1203148508747254149682895744594491240807e-216) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.10074598388671875e4), SC_(0.2865368119939400701179862849573503322931e-437) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1185395751953125e4), SC_(0.8632633219300624004437758135158135952472e-515) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.353451806640625e4), SC_(0.5013665804582944405266048580134316878986e-1536) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.80715478515625e4), SC_(0.7765547631230743133384730763696548377855e-3507) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.639546878366615050472401588575857541732e-7050)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5074028894875745794984647078151040612894e-13928)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2862328185162412476566225413964872968853e-15796)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(0.1194046640827563151857444163209777353211e25) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(0.5818966684329205041972653154218173748165e-11) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1252804412841796875e3), SC_(0.9892143938422535628101195141323126645363e-46) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.25554705810546875e3), SC_(0.3972603961730133195379956336197334288476e-107) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.503011474609375e3), SC_(0.4874624060193139320406839502988832481089e-217) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.10074598388671875e4), SC_(0.1822212069789909176095875838528811873338e-437) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1185395751953125e4), SC_(0.5875055967970574458131259176159286617499e-515) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.353451806640625e4), SC_(0.4406079158432466047722722836894011978239e-1536) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.80715478515625e4), SC_(0.7338395057162425548486505792810413989371e-3507) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6218012346099611746045494400088987852165e-7050)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5002276251033884106325883264873018499132e-13928)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2826609186886966995318007844162294906315e-15796)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(0.5561803915497248563365929946842781443078e23) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.637722015380859375e2), SC_(0.1094524924593545154904194423989731358977e-11) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1252804412841796875e3), SC_(0.3839300658689373815830761148374331937154e-46) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.25554705810546875e3), SC_(0.2451728941031062427272665484306743376086e-107) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.503011474609375e3), SC_(0.3804541047790449891831659262615119819112e-217) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.10074598388671875e4), SC_(0.1609485041764832205733383613676089003386e-437) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1185395751953125e4), SC_(0.5286617461619307606407976695028744909355e-515) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.353451806640625e4), SC_(0.4252727041870810007272294050962600690759e-1536) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.80715478515625e4), SC_(0.7225421446583687935214716001980501582795e-3507) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.617021607511078284203431245617539588877e-7050)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4982778020141303245214047263053056397026e-13928)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.281689238316161921546343371679087454574e-15796)) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.24750102996826171875e2), SC_(0.6745183967776568226882524708487938056875e15) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.637722015380859375e2), SC_(0.6545311734942178902723924532558287624952e-16) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.1252804412841796875e3), SC_(0.1656532226161521639805764466363495194113e-48) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.25554705810546875e3), SC_(0.1547673376370412380297419400250693508513e-108) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.503011474609375e3), SC_(0.9227214789189674273358185346965399203582e-218) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.10074598388671875e4), SC_(0.7918944121135532385395798829085145544592e-438) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.1185395751953125e4), SC_(0.2892810675468518815348991889357281331268e-515) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.353451806640625e4), SC_(0.3473597010045323910900283230401929551928e-1536) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.80715478515625e4), SC_(0.6612598699249681198531835080793951126635e-3507) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5904134813790360951037473338098849774904e-7050)) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4872840764596854116092324404256445242957e-13928)) }}, 
+      {{ SC_(-0.62323604583740234375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2762021177708928645685587252784589095343e-15796)) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.24750102996826171875e2), SC_(0.2000280553692923364816391845858003081304e11) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.637722015380859375e2), SC_(0.3011072877774196098095590001850230113398e-18) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.1252804412841796875e3), SC_(0.8546927999408637677019436633377190577324e-50) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.25554705810546875e3), SC_(0.3476662826409067664561159567913234387987e-109) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.503011474609375e3), SC_(0.4297054501709256270968786489029298481091e-218) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.10074598388671875e4), SC_(0.5402417605668363705190262971682628012869e-438) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.1185395751953125e4), SC_(0.2089958153703015756026346516755670166549e-515) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.353451806640625e4), SC_(0.3114579751849795632507912984614279046035e-1536) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.80715478515625e4), SC_(0.6304085854717380067005364169553964460527e-3507) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5765486071511390988466247681614919123209e-7050)) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4814584754866145181310357527683878612407e-13928)) }}, 
+      {{ SC_(-0.5579319000244140625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2732885595625837213661882188978422888301e-15796)) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.95070552825927734375e1), SC_(0.5693602607646284460254541471864922205948e23) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.24750102996826171875e2), SC_(0.1242729664484783369574386233140179346878e4) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.637722015380859375e2), SC_(0.7993412663367930219134100562570886747324e-22) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.1252804412841796875e3), SC_(0.9881485422320279470670535583393602847552e-52) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.25554705810546875e3), SC_(0.3730073474257981229404066713919938526343e-110) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.503011474609375e3), SC_(0.1373667058825755035108658858704836181807e-218) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.10074598388671875e4), SC_(0.3053981542547827391176412965629715685693e-438) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.1185395751953125e4), SC_(0.1286946967513954764039399072385367798007e-515) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.353451806640625e4), SC_(0.2646904138441718084112297837143320157831e-1536) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.80715478515625e4), SC_(0.5870517224916429591472211129863301372511e-3507) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.556473689966344568142116011084377141557e-7050)) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4728995700926201307193816855831797459788e-13928)) }}, 
+      {{ SC_(-0.4430035400390625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2690004084585417033992798959421396256472e-15796)) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.51139926910400390625e1), SC_(0.4971541960447850485036217351908812317262e28) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.95070552825927734375e1), SC_(0.1514361321039985388396503732421720671137e18) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.24750102996826171875e2), SC_(0.6394950974987836910026204697203193967018e0) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.637722015380859375e2), SC_(0.2193338639829460198350749734782436371427e-23) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.1252804412841796875e3), SC_(0.1453511701396794997715829292555274995485e-52) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.25554705810546875e3), SC_(0.143713375904389446480817449936644081692e-110) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.503011474609375e3), SC_(0.8444454506176474868328821803019802033188e-219) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.10074598388671875e4), SC_(0.2394533298546757062831171384270888559283e-438) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.1185395751953125e4), SC_(0.1046548965046943506923715763697928376188e-515) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.353451806640625e4), SC_(0.2469489195756011361369232839149459989988e-1536) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.80715478515625e4), SC_(0.5694829422897774445672362912138934152265e-3507) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5481275253120409890933948754020554435422e-7050)) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4692963862579519130682539614682894698339e-13928)) }}, 
+      {{ SC_(-0.383665924072265625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2671924165871110012794803086242495185922e-15796)) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.7444499991834163665771484375e-2), SC_(0.2721057737406919258362851434733030661109e28) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1433600485324859619140625e-1), SC_(0.5838623563730079614571930542897504652141e25) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.1760916970670223236083984375e-1), SC_(0.8489946048751590475608166482859224225092e24) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.6152711808681488037109375e-1), SC_(0.6830571091090551343461028048390799816461e19) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.11958599090576171875e0), SC_(0.1343359009110053824259990283998636373658e17) }}, 
+      {{ SC_(0.93762989044189453125e1), SC_(0.15262925624847412109375e0), SC_(0.1363284485271480815886779689298289259733e16) }}, 
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+      {{ SC_(0.9297769927978515625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2948841983584072578394887812793739973464e-15796)) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.637722015380859375e2), SC_(0.4848538332206214872114685461457208526682e-2) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1252804412841796875e3), SC_(0.1407357631531569552447817697356939114967e-40) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.25554705810546875e3), SC_(0.1789644517979726575647466756527040582949e-104) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.503011474609375e3), SC_(0.1134297740334902791076613679075967354327e-215) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.10074598388671875e4), SC_(0.8825347981316688657305249314794392766025e-437) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1185395751953125e4), SC_(0.2246641303550294973758291904185796545436e-514) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.353451806640625e4), SC_(0.6912227290322635031334137954308461354241e-1536) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.80715478515625e4), SC_(0.893824833574208599253272536219631346374e-3507) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6858858035128739755837136827347333728619e-7050)) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5256888449089264657997112108384303458607e-13928)) }}, 
+      {{ SC_(0.935389862060546875e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2953089268910496653492909777451085521704e-15796)) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.637722015380859375e2), SC_(0.6385107666034147877046020721409920794724e-2) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1252804412841796875e3), SC_(0.1654344599410448916584423239120073465608e-40) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.25554705810546875e3), SC_(0.1946478889917254423807361997687268337342e-104) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.503011474609375e3), SC_(0.1184592506913226623646749833739806823329e-215) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.10074598388671875e4), SC_(0.901953355688788108549058088701948794206e-437) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1185395751953125e4), SC_(0.2288605393501964892215062020117435573162e-514) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.353451806640625e4), SC_(0.6955313792142442148137724010444647419301e-1536) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.80715478515625e4), SC_(0.8962607682372740535877231935882633914515e-3507) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6868148706801060740839033435132304040165e-7050)) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.526049123050695967902464958981106803334e-13928)) }}, 
+      {{ SC_(0.937735595703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.295487369292694824273684043549849890813e-15796)) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(0.1990227834888151454373307286008775674612e1) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1252804412841796875e3), SC_(0.4894424029224796393682491693146694616972e-39) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.25554705810546875e3), SC_(0.1136170375675789312265821779116321329958e-103) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.503011474609375e3), SC_(0.2948452830082071500214646231076147090724e-215) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.10074598388671875e4), SC_(0.1425279255280814495079497699158457698546e-436) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1185395751953125e4), SC_(0.3377080491094056336148164895290399079231e-514) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.353451806640625e4), SC_(0.7926042309665472483589245698365986058321e-1536) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.80715478515625e4), SC_(0.9490411542227230445519501560068255751126e-3507) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.706642352671901713112325219552778166628e-7050)) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5336813326314223870941968492332354768707e-13928)) }}, 
+      {{ SC_(0.98576263427734375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2992641523816122158711374925214774085881e-15796)) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(0.4765079470941391660151554471287672030993e1) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1252804412841796875e3), SC_(0.8211475782164329588746473557436288828796e-39) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.25554705810546875e3), SC_(0.1488689678947819908654123225405437300755e-103) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.503011474609375e3), SC_(0.3390847523037554808868465852319867472935e-215) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.10074598388671875e4), SC_(0.1528876974454391292968555182897209684705e-436) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1185395751953125e4), SC_(0.3584703400837929375694495921804618033184e-514) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.353451806640625e4), SC_(0.8086451033245101399967163404205099861285e-1536) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.80715478515625e4), SC_(0.9574060247932829286311891259694070669118e-3507) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.7097333247638353953239893327006028051669e-7050)) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5348615672629262632704311334792898428533e-13928)) }}, 
+      {{ SC_(0.99292266845703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.299847616599843593158654409241939580736e-15796)) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_k_int_data.ipp b/src/boost/libs/math/test/bessel_k_int_data.ipp
new file mode 100644
index 000000000..1e555a1e2
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_int_data.ipp
@@ -0,0 +1,489 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 481> bessel_k_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.6451475930592273598846015135698055330078e1) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.6227212142001190939808570915268231760654e1) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.5016294646816679195434588077252051358532e1) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.4361188048817122598222684820956136285199e1) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.4155666670689396106825982497779831275659e1) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.2907904688572973437220285912023264651352e1) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.2251245456228397094716239150833833783688e1) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.2013151217079277922721039040650374928823e1) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.1097070466164341232251948278975330916289e1) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.7111296101768869724219672824880816154124e0) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.3668587200933656003255821289886727335553e0) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.3115344887529544812621292520040581803004e-1) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(0.325805941096065330441380826151925706171e-2) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(0.2983575249299677934623174911041338567643e-4) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(0.4469793219985647671692938809730755521561e-11) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(0.3154890666025357981487513910165521100024e-28) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(0.4365986153732310357450484955539750321993e-55) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(0.8155212353606568575514680314443449984517e-112) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(0.1959094651632950581341362431434333187503e-219) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(0.1153834312978712202246739136605238163053e-438) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(0.5626632279469502957817365401058836530616e-516) }}, 
+      {{ SC_(0.0), SC_(0.353451806640625e4), SC_(0.2005335541692877275070776095045572408221e-1536) }}, 
+      {{ SC_(0.0), SC_(0.80715478515625e4), SC_(0.5198552672839385593247348234265735246569e-3507) }}, 
+      {{ SC_(0.0), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5238258665687646932029547633274667132227e-7050)) }}, 
+      {{ SC_(0.0), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4586477351514513511787402593637142120047e-13928)) }}, 
+      {{ SC_(0.0), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.261839521735852199886433084148333502408e-15796)) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.5642670589050394493876757991354791444425e3) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.4509043336519153776882032141395071321111e3) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.134306823034307382114643500755390513023e3) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.6971959660478877278042038844910522107511e2) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.5674760507791176149484792894248541539452e2) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.1614820987046735392831380358603921129883e2) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(0.8197998310985025401124448473235927713019e1) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(0.6360645272530455596559051797225101283072e1) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(0.2132196083017461631334167216825680193136e1) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(0.1156576280544243110905012085298289192381e1) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(0.5118042111815067840711185047380239515098e0) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.3587084607310022256777513946093825420136e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(0.3563402139499414445927612094054750431128e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.3136737811772098452264479387949931309609e-4) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(0.4559214298385623744840433425339909113277e-11) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(0.3179530807904064450989433716351000642288e-28) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(0.4383376507619551733740470932900485417799e-55) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(0.8171153185119733731907215700781324087313e-112) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(0.1961041051464076987061687841817509806692e-219) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(0.1154406816332980455168031108997781743075e-438) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(0.5629005093195648507075346585433996324305e-516) }}, 
+      {{ SC_(0.1e1), SC_(0.353451806640625e4), SC_(0.2005619200413067947685927551685795058075e-1536) }}, 
+      {{ SC_(0.1e1), SC_(0.80715478515625e4), SC_(0.5198874692343800657182245260803672831532e-3507) }}, 
+      {{ SC_(0.1e1), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5238420046465533380647381293479454296805e-7050)) }}, 
+      {{ SC_(0.1e1), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4586548866666827230215894859840049327748e-13928)) }}, 
+      {{ SC_(0.1e1), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2618431215775737825097728016673681678693e-15796)) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(0.4866299979081122714121229096210700191518e13) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(0.1984300471606527742059001282352526315267e13) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(0.1562777308081462787649352118638441640974e11) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(0.1136373878031891372753785993664350977306e10) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(0.4991999111548545244274999181282075933079e9) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(0.3348404754435542940391088463548015493779e7) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(0.2344242859197388683851101586642876973144e6) }}, 
+      {{ SC_(0.4e1), SC_(0.15262925624847412109375e0), SC_(0.882769652248796999251835414827424137219e5) }}, 
+      {{ SC_(0.4e1), SC_(0.408089816570281982421875e0), SC_(0.1706913744135878990186254129470637633145e4) }}, 
+      {{ SC_(0.4e1), SC_(0.6540834903717041015625e0), SC_(0.2531380187689981167427802188655172652219e3) }}, 
+      {{ SC_(0.4e1), SC_(0.1097540378570556640625e1), SC_(0.2998821965908379171336639130797038553785e2) }}, 
+      {{ SC_(0.4e1), SC_(0.30944411754608154296875e1), SC_(0.2600800540545786927103321191355308119242e0) }}, 
+      {{ SC_(0.4e1), SC_(0.51139926910400390625e1), SC_(0.1310113816036379606520481730426498313864e-1) }}, 
+      {{ SC_(0.4e1), SC_(0.95070552825927734375e1), SC_(0.6590536459344845745057389826071914812742e-4) }}, 
+      {{ SC_(0.4e1), SC_(0.24750102996826171875e2), SC_(0.6133030556661369892325048452149519811279e-11) }}, 
+      {{ SC_(0.4e1), SC_(0.637722015380859375e2), SC_(0.3572958141609371155661279310848429937317e-28) }}, 
+      {{ SC_(0.4e1), SC_(0.1252804412841796875e3), SC_(0.4652677436708263229732006683514849916063e-55) }}, 
+      {{ SC_(0.4e1), SC_(0.25554705810546875e3), SC_(0.8414034107282798661333568860302936388064e-112) }}, 
+      {{ SC_(0.4e1), SC_(0.503011474609375e3), SC_(0.1990470027325467302112278177698801722237e-219) }}, 
+      {{ SC_(0.4e1), SC_(0.10074598388671875e4), SC_(0.1163028521762409349244231951145594725638e-438) }}, 
+      {{ SC_(0.4e1), SC_(0.1185395751953125e4), SC_(0.5664717578847921482243142747309256970705e-516) }}, 
+      {{ SC_(0.4e1), SC_(0.353451806640625e4), SC_(0.2009878898832100717589398352424725806132e-1536) }}, 
+      {{ SC_(0.4e1), SC_(0.80715478515625e4), SC_(0.5203707379166988887861124229263216602351e-3507) }}, 
+      {{ SC_(0.4e1), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5240841354827504548639257799260351864794e-7050)) }}, 
+      {{ SC_(0.4e1), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4587621727772824151475167382626737854669e-13928)) }}, 
+      {{ SC_(0.4e1), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2618971251427177592957235690575280827847e-15796)) }}, 
+      {{ SC_(0.7e1), SC_(0.177219114266335964202880859375e-2), SC_(0.8393410852610954393527641216972580532522e24) }}, 
+      {{ SC_(0.7e1), SC_(0.22177286446094512939453125e-2), SC_(0.1746439477339240202017380879835593298264e24) }}, 
+      {{ SC_(0.7e1), SC_(0.7444499991834163665771484375e-2), SC_(0.3636325329423526419455515218262149164257e20) }}, 
+      {{ SC_(0.7e1), SC_(0.1433600485324859619140625e-1), SC_(0.3702642450648513536507007355077838785335e18) }}, 
+      {{ SC_(0.7e1), SC_(0.1760916970670223236083984375e-1), SC_(0.8776769778941284214793226696145517599417e17) }}, 
+      {{ SC_(0.7e1), SC_(0.6152711808681488037109375e-1), SC_(0.1380314199659804887833132363429985792775e14) }}, 
+      {{ SC_(0.7e1), SC_(0.11958599090576171875e0), SC_(0.1316714319257667815497187929741473396631e12) }}, 
+      {{ SC_(0.7e1), SC_(0.15262925624847412109375e0), SC_(0.2385758315216153945368410974902013750543e11) }}, 
+      {{ SC_(0.7e1), SC_(0.408089816570281982421875e0), SC_(0.2427787443092239173513776098900037902893e8) }}, 
+      {{ SC_(0.7e1), SC_(0.6540834903717041015625e0), SC_(0.8837961864361020779649458889083260267903e6) }}, 
+      {{ SC_(0.7e1), SC_(0.1097540378570556640625e1), SC_(0.2284960408772201116356019420915711713484e5) }}, 
+      {{ SC_(0.7e1), SC_(0.30944411754608154296875e1), SC_(0.115430121001405235617754789786436933495e2) }}, 
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+      {{ SC_(0.61e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5874518817808457402027581610496686283433e-7050)) }}, 
+      {{ SC_(0.61e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4860454245105296988781115294196285058127e-13928)) }}, 
+      {{ SC_(0.61e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2755829771858985092011731285441871079278e-15796)) }}, 
+      {{ SC_(0.64e2), SC_(0.24750102996826171875e2), SC_(0.1089372884592778724010939074780808093656e17) }}, 
+      {{ SC_(0.64e2), SC_(0.637722015380859375e2), SC_(0.2817266049671112872402662968245886024951e-15) }}, 
+      {{ SC_(0.64e2), SC_(0.1252804412841796875e3), SC_(0.3724702135364801690887458310736954249975e-48) }}, 
+      {{ SC_(0.64e2), SC_(0.25554705810546875e3), SC_(0.2330836717388845789360360409398297964075e-108) }}, 
+      {{ SC_(0.64e2), SC_(0.503011474609375e3), SC_(0.1138051624148028381793628292491566002443e-217) }}, 
+      {{ SC_(0.64e2), SC_(0.10074598388671875e4), SC_(0.8795474806187293519539998949550401264589e-438) }}, 
+      {{ SC_(0.64e2), SC_(0.1185395751953125e4), SC_(0.3162847444927986736836816083125075670015e-515) }}, 
+      {{ SC_(0.64e2), SC_(0.353451806640625e4), SC_(0.357920961818962588991163894939852397169e-1536) }}, 
+      {{ SC_(0.64e2), SC_(0.80715478515625e4), SC_(0.669990919956916384927021910729947711597e-3507) }}, 
+      {{ SC_(0.64e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5942779676638927496437891727345757504507e-7050)) }}, 
+      {{ SC_(0.64e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4888957443663140543644871361643761747612e-13928)) }}, 
+      {{ SC_(0.64e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2770074319459807641783655781741093857784e-15796)) }}, 
+      {{ SC_(0.67e2), SC_(0.24750102996826171875e2), SC_(0.1752503956367793335591698780066945162812e19) }}, 
+      {{ SC_(0.67e2), SC_(0.637722015380859375e2), SC_(0.4147864732836980467101348321415022034012e-14) }}, 
+      {{ SC_(0.67e2), SC_(0.1252804412841796875e3), SC_(0.1668781473640989763113617951611659640503e-47) }}, 
+      {{ SC_(0.67e2), SC_(0.25554705810546875e3), SC_(0.4980726389162882741712033067856828293759e-108) }}, 
+      {{ SC_(0.67e2), SC_(0.503011474609375e3), SC_(0.167948569861795538522970935654345076463e-217) }}, 
+      {{ SC_(0.67e2), SC_(0.10074598388671875e4), SC_(0.1068722229666081091973101721647873584696e-437) }}, 
+      {{ SC_(0.67e2), SC_(0.1185395751953125e4), SC_(0.3732529706926917583477299343548737282551e-515) }}, 
+      {{ SC_(0.67e2), SC_(0.353451806640625e4), SC_(0.3783787616795079157142852699862298530265e-1536) }}, 
+      {{ SC_(0.67e2), SC_(0.80715478515625e4), SC_(0.6865006402804243398070353234801672966588e-3507) }}, 
+      {{ SC_(0.67e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6015168398426805542472282512313488150136e-7050)) }}, 
+      {{ SC_(0.67e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4919008189674129617858770677394899509167e-13928)) }}, 
+      {{ SC_(0.67e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2785081625530675286577295403413443334166e-15796)) }}, 
+      {{ SC_(0.7e2), SC_(0.24750102996826171875e2), SC_(0.3200133529232737321115234201266326454559e21) }}, 
+      {{ SC_(0.7e2), SC_(0.637722015380859375e2), SC_(0.6731146076014642148395421819876868378567e-13) }}, 
+      {{ SC_(0.7e2), SC_(0.1252804412841796875e3), SC_(0.7964621054909191295512910144858209516278e-47) }}, 
+      {{ SC_(0.7e2), SC_(0.25554705810546875e3), SC_(0.1101144291182637778358682346270185127938e-107) }}, 
+      {{ SC_(0.7e2), SC_(0.503011474609375e3), SC_(0.2522817286419656696577388487800399007574e-217) }}, 
+      {{ SC_(0.7e2), SC_(0.10074598388671875e4), SC_(0.1310206208699986118807886315832315681721e-437) }}, 
+      {{ SC_(0.7e2), SC_(0.1185395751953125e4), SC_(0.4438324037790869017660048341591393207415e-515) }}, 
+      {{ SC_(0.7e2), SC_(0.353451806640625e4), SC_(0.4010253858858078283335826255416157967798e-1536) }}, 
+      {{ SC_(0.7e2), SC_(0.80715478515625e4), SC_(0.7042018797575106309572625922749346299401e-3507) }}, 
+      {{ SC_(0.7e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6091816057177725949783663850061790717355e-7050)) }}, 
+      {{ SC_(0.7e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4950632917672309705754397226621067105838e-13928)) }}, 
+      {{ SC_(0.7e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2800863270994291420518570661218980325799e-15796)) }}, 
+      {{ SC_(0.73e2), SC_(0.24750102996826171875e2), SC_(0.6600974229573307442059086118768767449093e23) }}, 
+      {{ SC_(0.73e2), SC_(0.637722015380859375e2), SC_(0.1201297498924823083105718685052381246325e-11) }}, 
+      {{ SC_(0.73e2), SC_(0.1252804412841796875e3), SC_(0.4046845520756788077228347262642337964193e-46) }}, 
+      {{ SC_(0.73e2), SC_(0.25554705810546875e3), SC_(0.2518393365952522637287348252737396942553e-107) }}, 
+      {{ SC_(0.73e2), SC_(0.503011474609375e3), SC_(0.3857308045703755765391334346735015990041e-217) }}, 
+      {{ SC_(0.73e2), SC_(0.10074598388671875e4), SC_(0.1620626521068011080509491031666896383943e-437) }}, 
+      {{ SC_(0.73e2), SC_(0.1185395751953125e4), SC_(0.5317713886826713534838432572251814525015e-515) }}, 
+      {{ SC_(0.73e2), SC_(0.353451806640625e4), SC_(0.4261107169830410931379086346743264316689e-1536) }}, 
+      {{ SC_(0.73e2), SC_(0.80715478515625e4), SC_(0.7231653609674731879282356274318541000741e-3507) }}, 
+      {{ SC_(0.73e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6172862491836114717204373678657121117295e-7050)) }}, 
+      {{ SC_(0.73e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.4983859558064200409817902804417896457076e-13928)) }}, 
+      {{ SC_(0.73e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2817431477497909957363236959638032643128e-15796)) }}, 
+      {{ SC_(0.76e2), SC_(0.24750102996826171875e2), SC_(0.1531183321100941817299267523275491292448e26) }}, 
+      {{ SC_(0.76e2), SC_(0.637722015380859375e2), SC_(0.2352685186849495712347188367635010810633e-10) }}, 
+      {{ SC_(0.76e2), SC_(0.1252804412841796875e3), SC_(0.2187653883215974720282435704263980509287e-45) }}, 
+      {{ SC_(0.76e2), SC_(0.25554705810546875e3), SC_(0.5957804953158544567415337939041815553818e-107) }}, 
+      {{ SC_(0.76e2), SC_(0.503011474609375e3), SC_(0.6002961099601760044656616805251101448532e-217) }}, 
+      {{ SC_(0.76e2), SC_(0.10074598388671875e4), SC_(0.2022524994842388381712489452722204489107e-437) }}, 
+      {{ SC_(0.76e2), SC_(0.1185395751953125e4), SC_(0.6419787531456505117374325893361016267861e-515) }}, 
+      {{ SC_(0.76e2), SC_(0.353451806640625e4), SC_(0.4539191527866687375064734054902878636098e-1536) }}, 
+      {{ SC_(0.76e2), SC_(0.80715478515625e4), SC_(0.7434679507997340046976676659450109196349e-3507) }}, 
+      {{ SC_(0.76e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.625845673025821801704758202141407507098e-7050)) }}, 
+      {{ SC_(0.76e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5018717578209518619159368787008041682897e-13928)) }}, 
+      {{ SC_(0.76e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2834799123178316316921082908434236819708e-15796)) }}, 
+      {{ SC_(0.79e2), SC_(0.24750102996826171875e2), SC_(0.3977450254611439907015094861072686143365e28) }}, 
+      {{ SC_(0.79e2), SC_(0.637722015380859375e2), SC_(0.5045557998916834451345285819041530054045e-9) }}, 
+      {{ SC_(0.79e2), SC_(0.1252804412841796875e3), SC_(0.1257398100175037281002031105345426585638e-44) }}, 
+      {{ SC_(0.79e2), SC_(0.25554705810546875e3), SC_(0.1457761666527355876308418609616580684983e-106) }}, 
+      {{ SC_(0.79e2), SC_(0.503011474609375e3), SC_(0.9508736439729252372797046089858665696247e-217) }}, 
+      {{ SC_(0.79e2), SC_(0.10074598388671875e4), SC_(0.2546664153931547063082509241536182642882e-437) }}, 
+      {{ SC_(0.79e2), SC_(0.1185395751953125e4), SC_(0.7809182105858958259760323416560481270815e-515) }}, 
+      {{ SC_(0.79e2), SC_(0.353451806640625e4), SC_(0.4847747575121366789595217747585489900848e-1536) }}, 
+      {{ SC_(0.79e2), SC_(0.80715478515625e4), SC_(0.7651931736233482793339884190747843802592e-3507) }}, 
+      {{ SC_(0.79e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.634875744436278296417277623731115109911e-7050)) }}, 
+      {{ SC_(0.79e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5055238025936264849903127242851811532009e-13928)) }}, 
+      {{ SC_(0.79e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2852979759332925163346706705764848988845e-15796)) }}, 
+      {{ SC_(0.82e2), SC_(0.637722015380859375e2), SC_(0.1182479183003843898967122682220895379283e-7) }}, 
+      {{ SC_(0.82e2), SC_(0.1252804412841796875e3), SC_(0.7679246824874028855732984729868233341459e-44) }}, 
+      {{ SC_(0.82e2), SC_(0.25554705810546875e3), SC_(0.3688731597877386657104803215785579078246e-106) }}, 
+      {{ SC_(0.82e2), SC_(0.503011474609375e3), SC_(0.1533025263190811001855129953690241988217e-216) }}, 
+      {{ SC_(0.82e2), SC_(0.10074598388671875e4), SC_(0.3235306253457630283328305165089298636569e-437) }}, 
+      {{ SC_(0.82e2), SC_(0.1185395751953125e4), SC_(0.95714803641107768131549467236444623187e-515) }}, 
+      {{ SC_(0.82e2), SC_(0.353451806640625e4), SC_(0.5190472642970221025902053308995793605448e-1536) }}, 
+      {{ SC_(0.82e2), SC_(0.80715478515625e4), SC_(0.7884317762303207970574981219562166816935e-3507) }}, 
+      {{ SC_(0.82e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6443933438399520983914837847908697932304e-7050)) }}, 
+      {{ SC_(0.82e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5093453575580057440764704712908558993787e-13928)) }}, 
+      {{ SC_(0.82e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2871987628027187822900488209818201448873e-15796)) }}, 
+      {{ SC_(0.85e2), SC_(0.637722015380859375e2), SC_(0.3022386458998828808890958658069437125556e-6) }}, 
+      {{ SC_(0.85e2), SC_(0.1252804412841796875e3), SC_(0.4980051147455231361906632503761840466974e-43) }}, 
+      {{ SC_(0.85e2), SC_(0.25554705810546875e3), SC_(0.9651821409596944246819658023453058852567e-106) }}, 
+      {{ SC_(0.85e2), SC_(0.503011474609375e3), SC_(0.2515578850121789395121409417066593310199e-216) }}, 
+      {{ SC_(0.85e2), SC_(0.10074598388671875e4), SC_(0.4146905619633520795687290702797802077516e-437) }}, 
+      {{ SC_(0.85e2), SC_(0.1185395751953125e4), SC_(0.1182063426653318577358697854155415902088e-514) }}, 
+      {{ SC_(0.85e2), SC_(0.353451806640625e4), SC_(0.5571590796064834896786127413958385484532e-1536) }}, 
+      {{ SC_(0.85e2), SC_(0.80715478515625e4), SC_(0.8132823498430510533405211338608503625054e-3507) }}, 
+      {{ SC_(0.85e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.6544164172431353956246831844735505709742e-7050)) }}, 
+      {{ SC_(0.85e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5133398576643193156132512241768029727037e-13928)) }}, 
+      {{ SC_(0.85e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2891837680670311977658996166762631480513e-15796)) }}, 
+      {{ SC_(0.88e2), SC_(0.637722015380859375e2), SC_(0.8408884745537773166223428345981835442608e-5) }}, 
+      {{ SC_(0.88e2), SC_(0.1252804412841796875e3), SC_(0.3427163660301187722220573043617848517407e-42) }}, 
+      {{ SC_(0.88e2), SC_(0.25554705810546875e3), SC_(0.2611158848229128475717621937789423053511e-105) }}, 
+      {{ SC_(0.88e2), SC_(0.503011474609375e3), SC_(0.4201277178177965425183058418537562017403e-216) }}, 
+      {{ SC_(0.88e2), SC_(0.10074598388671875e4), SC_(0.5362866581825708379523263981965145477407e-437) }}, 
+      {{ SC_(0.88e2), SC_(0.1185395751953125e4), SC_(0.1470923110114575284128795225669870357461e-514) }}, 
+      {{ SC_(0.88e2), SC_(0.353451806640625e4), SC_(0.5995934685429881061512313674772217021537e-1536) }}, 
+      {{ SC_(0.88e2), SC_(0.80715478515625e4), SC_(0.839852015080128730529999326058629197173e-3507) }}, 
+      {{ SC_(0.88e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.664964032329384431282211022073156371507e-7050)) }}, 
+      {{ SC_(0.88e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.5175109105174760942763088943597648303892e-13928)) }}, 
+      {{ SC_(0.88e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(0.2912545597593180629046239733714231938561e-15796)) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_k_prime_data.ipp b/src/boost/libs/math/test/bessel_k_prime_data.ipp
new file mode 100644
index 000000000..c5fbf6662
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_prime_data.ipp
@@ -0,0 +1,533 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 526> bessel_k_prime_data = {{
+      {{ SC_(-0.8049192047119140625e2), SC_(0.24750102996826171875e2), SC_(-223964241238127376907362933849.77811883621356945072) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.637722015380859375e2), SC_(-3.8648041779027959239388782349048349624084267353648e-09) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1252804412841796875e3), SC_(-3.6565779603591655562583295314803218468260642362413e-45) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.25554705810546875e3), SC_(-2.4190909126777442847637956215785750284058654395426e-107) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.503011474609375e3), SC_(-1.219620886701684973558478574167401783825245103538e-217) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.10074598388671875e4), SC_(-2.8759116222738175323191695250228885450735227319625e-438) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1185395751953125e4), SC_(-8.656135863990512823611279606761037327763769429165e-516) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.353451806640625e4), SC_(-5.0156745400827303020875916527662318545254904167654e-1537) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.80715478515625e4), SC_(-7.7664147329568575919379482774926088376140985600006e-3508) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.3957444698529951994589166738566522004887281442523e-7051)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0741239974147423625304060686424101773477735801947e-13929)) }}, 
+      {{ SC_(-0.8049192047119140625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8623745476551145305348906256496397306448089397871e-15797)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.24750102996826171875e2), SC_(-3794454981121002761198744.9826140208081979296819968) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.637722015380859375e2), SC_(-8.9747091237141513784347353621979484900792428922109e-12) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1252804412841796875e3), SC_(-1.1542368579655756226858659851675383404078664655503e-46) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.25554705810546875e3), SC_(-4.1455838380761457914925022602955935390233578702302e-108) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.503011474609375e3), SC_(-4.9326837255106385876980488126276641132040755503017e-218) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.10074598388671875e4), SC_(-1.8281004439703352079910815343682319706696940035428e-438) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1185395751953125e4), SC_(-5.8891472101462070923686253349770419831103413999691e-516) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.353451806640625e4), SC_(-4.4076834751264207754504577197432798341964297761109e-1537) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.80715478515625e4), SC_(-7.3391630299178173734443377525918932290713974948573e-3508) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.2182696019406168576500601010874825439179538162594e-7051)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0023677870089337028208152148428288392719301653778e-13929)) }}, 
+      {{ SC_(-0.7460263824462890625e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8266539948347919351166378742384267515954784710424e-15797)) }}, 
+      {{ SC_(-0.7290460205078125e2), SC_(0.24750102996826171875e2), SC_(-173130896033510584513668.61333176231095893188765736) }}, 
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+      {{ SC_(-0.937735595703125e2), SC_(0.637722015380859375e2), SC_(-0.01137030065815612960370831087647104379911521526917) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1252804412841796875e3), SC_(-2.0706888972387411205898048220596042570054762245014e-41) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.25554705810546875e3), SC_(-2.076747188203903305949196338713305075811149238145e-105) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.503011474609375e3), SC_(-1.206138863501423091012055647373090290373057026604e-216) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.10074598388671875e4), SC_(-9.0629576101423788912524341010755944080482662765986e-438) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1185395751953125e4), SC_(-2.2967143819366169401505634677120170066995690649849e-515) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.353451806640625e4), SC_(-6.9587443759167291523051646597944050009369317166297e-1537) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.80715478515625e4), SC_(-8.963767622812737147576550718407855129766122180056e-3508) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.8684749432461237452482072444067606374284784899753e-7051)) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2605957482764622649044864083253881631348210278576e-13929)) }}, 
+      {{ SC_(-0.937735595703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9549241397840480921229968726823503335972147694438e-15797)) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.637722015380859375e2), SC_(-3.6686816477282175741062854887392827202537802300625) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1252804412841796875e3), SC_(-6.2399832007271194286193178414362361578969127220333e-40) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.25554705810546875e3), SC_(-1.2197055850790942102833053161804296244667372399762e-104) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.503011474609375e3), SC_(-3.0073585223276919910623824690988486916059485468597e-216) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.10074598388671875e4), SC_(-1.4327862387775261953192982503772965587341390132943e-437) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1185395751953125e4), SC_(-3.3901517048219300614034883286039472371133965744397e-515) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.353451806640625e4), SC_(-7.9302445478748911451073379421472555993851487974647e-1537) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.80715478515625e4), SC_(-9.4917070630321412669855703990840487507093560375947e-3508) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-7.0667715724747080745349594062644690011902150106069e-7051)) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.3369217577635370104041886049119027025431819578313e-13929)) }}, 
+      {{ SC_(-0.98576263427734375e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9926936605456938905177281393602465206014795130064e-15797)) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.637722015380859375e2), SC_(-8.8285524650129256933638180698917549810701836035732) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1252804412841796875e3), SC_(-1.049792135876353865511740651480185410819111323384e-39) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.25554705810546875e3), SC_(-1.5996444827452915890990402200237025952688558810316e-104) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.503011474609375e3), SC_(-3.4595213350656230785971872762202885234300143856178e-216) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.10074598388671875e4), SC_(-1.5370356988755426778767692613876015040381491797487e-437) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1185395751953125e4), SC_(-3.5987581690622945659656802112451101694463306035307e-515) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.353451806640625e4), SC_(-8.0907841383527165661715057045677964687892142603151e-1537) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.80715478515625e4), SC_(-9.5753775952636351949636155792849650813468738905751e-3508) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-7.0976847244501301711496758361494292049081737362601e-7051)) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.3487247123357975974272081432102149067206440666883e-13929)) }}, 
+      {{ SC_(-0.99292266845703125e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.9985285649643779417565006201095646024682201998538e-15797)) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_k_prime_int_data.ipp b/src/boost/libs/math/test/bessel_k_prime_int_data.ipp
new file mode 100644
index 000000000..4d326dc08
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_k_prime_int_data.ipp
@@ -0,0 +1,968 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 962> bessel_k_prime_int_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(-564.26705890503944938767579913547914444248945617307) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(-450.90433365191537768820321413950713211111795723233) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(-134.30682303430738211464350075539051302297649874874) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(-69.719596604788772780420388449105221075106674775932) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(-56.747605077911761494847928942485415394515672427591) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(-16.148209870467353928313803586039211298833357390533) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(-8.1979983109850254011244484732359277130188220912139) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(-6.3606452725304555965590517972251012830722624594999) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(-2.1321960830174616313341672168256801931362259279233) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(-1.1565762805442431109050120852982891923808991774078) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(-0.51180421118150678407111850473802395150979488737911) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(-0.035870846073100222567775139460938254201357238403855) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(-0.0035634021394994144459276120940547504311283743308124) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(-3.1367378117720984522644793879499313096092001772086e-05) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(-4.5592142983856237448404334253399091132773842963972e-12) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(-3.1795308079040644509894337163510006422875797374616e-29) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(-4.3833765076195517337404709329004854177992525949973e-56) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(-8.171153185119733731907215700781324087313196273862e-113) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(-1.9610410514640769870616878418175098066922148164034e-220) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(-1.1544068163329804551680311089977817430745026305692e-439) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(-5.6290050931956485070753465854339963243045345223924e-517) }}, 
+      {{ SC_(0.0), SC_(0.353451806640625e4), SC_(-2.0056192004130679476859275516857950580751539000044e-1537) }}, 
+      {{ SC_(0.0), SC_(0.80715478515625e4), SC_(-5.1988746923438006571822452608036728315317688037626e-3508) }}, 
+      {{ SC_(0.0), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2384200464655333806473812934794542968045682388646e-7051)) }}, 
+      {{ SC_(0.0), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.5865488666668272302158948598400493277484898536121e-13929)) }}, 
+      {{ SC_(0.0), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.6184312157757378250977280166736816786933907786721e-15797)) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(-318407.24093988403283716622327788498668735878111682) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(-203324.30886650102282671546357187147244481049412212) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(-18046.096713966837111926383334978114928772679560354) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(-4867.6126530474518428825812639081701032287340383263) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(-3226.7724068746886393004717161425496197515372741622) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(-265.36469402952990171553286026164847301719062806564) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(-70.804411666519349644733940672201002630982054503231) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(-43.686978561003354802613782475529249502661096099636) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(-6.3218910729050901313212384105168002574228931840538) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(-2.4793691355117662044189549199904574969327356790979) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(-0.83317797465061819621338302582157229034401798702659) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(-0.042745476010132948342285327125571022120438601647422) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(-0.0039548539421187963785265657304810772112454837581585) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(-3.3135131447398572033549046596185581695541095025294e-05) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(-4.654003132120973910330382486129915942491142898761e-12) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(-3.2047482957012786078634776674341986362804068785944e-29) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(-4.4009746680022794955892256279324092007537025223243e-56) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(-8.1871874944894166793340532995594900586832698000838e-113) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(-1.9629932526598694364493932484617022901820787029041e-220) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(-1.1549801718723342286424505853964769853634059080364e-439) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(-5.631380908848274546758579410755282113144726314993e-517) }}, 
+      {{ SC_(0.1e1), SC_(0.353451806640625e4), SC_(-2.005902979505538478295841832689903022639354889615e-1537) }}, 
+      {{ SC_(0.1e1), SC_(0.80715478515625e4), SC_(-5.1991967716898108429971087826748985294137878820233e-3508) }}, 
+      {{ SC_(0.1e1), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2385814421589235180320214001642941608513568636282e-7051)) }}, 
+      {{ SC_(0.1e1), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.5866203851644645722662401834106636705574505446343e-13929)) }}, 
+      {{ SC_(0.1e1), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.618467215677702057808662836503017046047450093824e-15797)) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(-10983692444317315.165150416008029081635418710640988) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(-3578978669139406.1528039756965024567835697596481499) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(-8396969137152.9541908718514934906661629629077299591) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(-317071212176.20834010627371012509594276942337356133) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(-113396910611.59301433770119413603766039771561556615) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(-217720766.28596624695438873986699104416207300227868) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(-7845865.1155518293197347414850538849170357123663771) }}, 
+      {{ SC_(0.4e1), SC_(0.15262925624847412109375e0), SC_(-2315743.9381627679323203266213045119362217382027192) }}, 
+      {{ SC_(0.4e1), SC_(0.408089816570281982421875e0), SC_(-16846.07572065335815318267729024521441303537776785) }}, 
+      {{ SC_(0.4e1), SC_(0.6540834903717041015625e0), SC_(-1575.1796557108295330492137708684645118520571226374) }}, 
+      {{ SC_(0.4e1), SC_(0.1097540378570556640625e1), SC_(-114.54029008444287319775127760400796800548480811372) }}, 
+      {{ SC_(0.4e1), SC_(0.30944411754608154296875e1), SC_(-0.44229971561233386817767514352350860962721823821973) }}, 
+      {{ SC_(0.4e1), SC_(0.51139926910400390625e1), SC_(-0.017449058773107413749493685909981540439774532074338) }}, 
+      {{ SC_(0.4e1), SC_(0.95070552825927734375e1), SC_(-7.4425873920361817017096070124335407936038112605473e-05) }}, 
+      {{ SC_(0.4e1), SC_(0.24750102996826171875e2), SC_(-6.3323371984922724927107572682023510337870973837156e-12) }}, 
+      {{ SC_(0.4e1), SC_(0.637722015380859375e2), SC_(-3.6077778435914884099043754328756871298273833085534e-29) }}, 
+      {{ SC_(0.4e1), SC_(0.1252804412841796875e3), SC_(-4.6735619675626344223635967542390291638349188530899e-56) }}, 
+      {{ SC_(0.4e1), SC_(0.25554705810546875e3), SC_(-8.4315075302797590390146509249854178682749834856253e-113) }}, 
+      {{ SC_(0.4e1), SC_(0.503011474609375e3), SC_(-1.9925104081747598593357036700941687544447752690357e-220) }}, 
+      {{ SC_(0.4e1), SC_(0.10074598388671875e4), SC_(-1.1636147448798338155700813766012832493011326011102e-439) }}, 
+      {{ SC_(0.4e1), SC_(0.1185395751953125e4), SC_(-5.6671386771854849935328206881197785467035478991619e-517) }}, 
+      {{ SC_(0.4e1), SC_(0.353451806640625e4), SC_(-2.0101644869168474643568944826109277299205560878898e-1537) }}, 
+      {{ SC_(0.4e1), SC_(0.80715478515625e4), SC_(-5.2040303568785494878029900695452174102459710005928e-3508) }}, 
+      {{ SC_(0.4e1), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.2410029743453695294904082363058484365348132024276e-7051)) }}, 
+      {{ SC_(0.4e1), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.5876932964607492241095182648028442645972639968118e-13929)) }}, 
+      {{ SC_(0.4e1), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.6190072736044507830049193564957400063023573777032e-15797)) }}, 
+      {{ SC_(0.7e1), SC_(0.177219114266335964202880859375e-2), SC_(-3315323993591126455859987019.5521097299329165631811) }}, 
+      {{ SC_(0.7e1), SC_(0.22177286446094512939453125e-2), SC_(-551243141801203494936043640.13963587524905412197572) }}, 
+      {{ SC_(0.7e1), SC_(0.7444499991834163665771484375e-2), SC_(-34192080230795750328765.530760999848176029597564373) }}, 
+      {{ SC_(0.7e1), SC_(0.1433600485324859619140625e-1), SC_(-180793469547411428784.59219326366110191810523477698) }}, 
+      {{ SC_(0.7e1), SC_(0.1760916970670223236083984375e-1), SC_(-34889558263749599681.031630304978099930857287106099) }}, 
+      {{ SC_(0.7e1), SC_(0.6152711808681488037109375e-1), SC_(-1570467645142766.096606983479404590825289738785901) }}, 
+      {{ SC_(0.7e1), SC_(0.11958599090576171875e0), SC_(-7708736743651.4500775221902568918844949153346520967) }}, 
+      {{ SC_(0.7e1), SC_(0.15262925624847412109375e0), SC_(-1094478162897.0732521412106352041613956780865507252) }}, 
+      {{ SC_(0.7e1), SC_(0.408089816570281982421875e0), SC_(-417264972.28653957754370884258958623298117914380298) }}, 
+      {{ SC_(0.7e1), SC_(0.6540834903717041015625e0), SC_(-9506387.5451923690324201793109731315141860205388448) }}, 
+      {{ SC_(0.7e1), SC_(0.1097540378570556640625e1), SC_(-147801.82349510813061065531542022914552685395560253) }}, 
+      {{ SC_(0.7e1), SC_(0.30944411754608154296875e1), SC_(-28.887537147307173386155952903411642281062777832185) }}, 
+      {{ SC_(0.7e1), SC_(0.51139926910400390625e1), SC_(-0.3211977551653224359819846920823669269394124086309) }}, 
+      {{ SC_(0.7e1), SC_(0.95070552825927734375e1), SC_(-0.00040968554159001242446561600095020330283970668883094) }}, 
+      {{ SC_(0.7e1), SC_(0.24750102996826171875e2), SC_(-1.2410081043497666839978215334633542599704721561071e-11) }}, 
+      {{ SC_(0.7e1), SC_(0.637722015380859375e2), SC_(-4.680647212745947130532873058795184059401389424817e-29) }}, 
+      {{ SC_(0.7e1), SC_(0.1252804412841796875e3), SC_(-5.3339778950073370002910256414986790129424582191839e-56) }}, 
+      {{ SC_(0.7e1), SC_(0.25554705810546875e3), SC_(-8.9949465390038411715485285331256932311651702197894e-113) }}, 
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+      {{ SC_(-0.7e2), SC_(0.10074598388671875e4), SC_(-1.3140120163828277000968506238809976026387713024023e-438) }}, 
+      {{ SC_(-0.7e2), SC_(0.1185395751953125e4), SC_(-4.4479210253708017953989477643322660025768603401623e-516) }}, 
+      {{ SC_(-0.7e2), SC_(0.353451806640625e4), SC_(-4.011607279487438869633191688770704873886231134706e-1537) }}, 
+      {{ SC_(-0.7e2), SC_(0.80715478515625e4), SC_(-7.042719790380435288707526346406999737819404508234e-3508) }}, 
+      {{ SC_(-0.7e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.0920603958191974077351373685096064096349419355278e-7051)) }}, 
+      {{ SC_(-0.7e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.9507219064816815225818933615045945030757314244068e-13929)) }}, 
+      {{ SC_(-0.7e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8009069661287273247872110387701501847750932342624e-15797)) }}, 
+      {{ SC_(-0.73e2), SC_(0.24750102996826171875e2), SC_(-205719376526896502657652.96550991890838816063791109) }}, 
+      {{ SC_(-0.73e2), SC_(0.637722015380859375e2), SC_(-1.8300431219071119872880395867409742102142917730265e-12) }}, 
+      {{ SC_(-0.73e2), SC_(0.1252804412841796875e3), SC_(-4.6958048660578828796346820899034077665825783934045e-47) }}, 
+      {{ SC_(-0.73e2), SC_(0.25554705810546875e3), SC_(-2.6236852703230463989159054674929686721177502367006e-108) }}, 
+      {{ SC_(-0.73e2), SC_(0.503011474609375e3), SC_(-3.9014702654874034106876012771696386159778136815961e-218) }}, 
+      {{ SC_(-0.73e2), SC_(0.10074598388671875e4), SC_(-1.6256753185931080016278217071058734206460353005272e-438) }}, 
+      {{ SC_(-0.73e2), SC_(0.1185395751953125e4), SC_(-5.3300219828181147858062787897171456179634070597516e-516) }}, 
+      {{ SC_(-0.73e2), SC_(0.353451806640625e4), SC_(-4.2626183779380336824380883140647108026451658293156e-1537) }}, 
+      {{ SC_(-0.73e2), SC_(0.80715478515625e4), SC_(-7.2323972852147199789443100363498297809281819979803e-3508) }}, 
+      {{ SC_(-0.73e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.1731151079309191917184639095298319465383713817986e-7051)) }}, 
+      {{ SC_(-0.73e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-4.9839501837700855537119137483951258337511595368787e-13929)) }}, 
+      {{ SC_(-0.73e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.817475888015800256208872261271522867678161060716e-15797)) }}, 
+      {{ SC_(-0.76e2), SC_(0.24750102996826171875e2), SC_(-49478353255850169884934069.299878417564058220806436) }}, 
+      {{ SC_(-0.76e2), SC_(0.637722015380859375e2), SC_(-3.6677657057343833378790228611478009054081670021689e-11) }}, 
+      {{ SC_(-0.76e2), SC_(0.1252804412841796875e3), SC_(-2.565109608997742743110499398388763645670177075402e-46) }}, 
+      {{ SC_(-0.76e2), SC_(0.25554705810546875e3), SC_(-6.2264033726422710289672726231798445145431543554852e-108) }}, 
+      {{ SC_(-0.76e2), SC_(0.503011474609375e3), SC_(-6.0769241217951763607655077687262098816000800412697e-218) }}, 
+      {{ SC_(-0.76e2), SC_(0.10074598388671875e4), SC_(-2.0292695565475860494513194802911931028995921345127e-438) }}, 
+      {{ SC_(-0.76e2), SC_(0.1185395751953125e4), SC_(-6.4356646706199133752004959764845941040720194537884e-516) }}, 
+      {{ SC_(-0.76e2), SC_(0.353451806640625e4), SC_(-4.5408825254310089726335939548022782201008737968778e-1537) }}, 
+      {{ SC_(-0.76e2), SC_(0.80715478515625e4), SC_(-7.4354695627440530875708592525605793700698293761757e-3508) }}, 
+      {{ SC_(-0.76e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.2587181594514014603747134114494582948715924210721e-7051)) }}, 
+      {{ SC_(-0.76e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0188099286053257564330261352245750063020523517253e-13929)) }}, 
+      {{ SC_(-0.76e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8348442864736215848869024786087057360126591539601e-15797)) }}, 
+      {{ SC_(-0.79e2), SC_(0.24750102996826171875e2), SC_(-13311377801888047309231869120.542790729005902613362) }}, 
+      {{ SC_(-0.79e2), SC_(0.637722015380859375e2), SC_(-8.0484077746939564571976121590206071184506511322372e-10) }}, 
+      {{ SC_(-0.79e2), SC_(0.1252804412841796875e3), SC_(-1.4901108972501235761543315633801893534378820456469e-45) }}, 
+      {{ SC_(-0.79e2), SC_(0.25554705810546875e3), SC_(-1.5284322081202891503901188222847649345982863995208e-107) }}, 
+      {{ SC_(-0.79e2), SC_(0.503011474609375e3), SC_(-9.6345135340008718538715982389228126878365004083811e-218) }}, 
+      {{ SC_(-0.79e2), SC_(0.10074598388671875e4), SC_(-2.5557376477668938366873901370154979501643660675242e-438) }}, 
+      {{ SC_(-0.79e2), SC_(0.1185395751953125e4), SC_(-7.8297837190005907655601672044981753284470473812561e-516) }}, 
+      {{ SC_(-0.79e2), SC_(0.353451806640625e4), SC_(-4.8496436926873884286440646192513168255119073983292e-1537) }}, 
+      {{ SC_(-0.79e2), SC_(0.80715478515625e4), SC_(-7.6527721802990117462670607408793544234827815552886e-3508) }}, 
+      {{ SC_(-0.79e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.3490282494167977009540233126435006038243581853711e-7051)) }}, 
+      {{ SC_(-0.79e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0553321913727506552657665860597886292201998202501e-13929)) }}, 
+      {{ SC_(-0.79e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8530257137776636178810078824677341688051566573746e-15797)) }}, 
+      {{ SC_(-0.82e2), SC_(0.637722015380859375e2), SC_(-1.929664940040155693529466887952144814051447724959e-08) }}, 
+      {{ SC_(-0.82e2), SC_(0.1252804412841796875e3), SC_(-9.1994155998441512754636871834721249790632784175968e-45) }}, 
+      {{ SC_(-0.82e2), SC_(0.25554705810546875e3), SC_(-3.880523666220452737290266931254477983415313628438e-107) }}, 
+      {{ SC_(-0.82e2), SC_(0.503011474609375e3), SC_(-1.554745475514337721891632426144897014927362503757e-217) }}, 
+      {{ SC_(-0.82e2), SC_(0.10074598388671875e4), SC_(-3.2475999045999570181747261157749673369391101595774e-438) }}, 
+      {{ SC_(-0.82e2), SC_(0.1185395751953125e4), SC_(-9.5983710027436750265702531274004702246767579076882e-516) }}, 
+      {{ SC_(-0.82e2), SC_(0.353451806640625e4), SC_(-5.1926030950825285600618345570808515093818563886244e-1537) }}, 
+      {{ SC_(-0.82e2), SC_(0.80715478515625e4), SC_(-7.8852129511171532286208132853871491236357544988575e-3508) }}, 
+      {{ SC_(-0.82e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.4442142111498586191463295549950995161009635632053e-7051)) }}, 
+      {{ SC_(-0.82e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.0935496491108428955283035163133522638143765212297e-13929)) }}, 
+      {{ SC_(-0.82e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8720344130252226985727735707660611379569218277457e-15797)) }}, 
+      {{ SC_(-0.85e2), SC_(0.637722015380859375e2), SC_(-5.0447671615505518655123386164414515050269005768116e-07) }}, 
+      {{ SC_(-0.85e2), SC_(0.1252804412841796875e3), SC_(-6.0317262234008813937658078553988664012097242138782e-44) }}, 
+      {{ SC_(-0.85e2), SC_(0.25554705810546875e3), SC_(-1.0188732720454341381521059175302890088207242434688e-106) }}, 
+      {{ SC_(-0.85e2), SC_(0.503011474609375e3), SC_(-2.5536722931770409635190252307901838371333480641471e-217) }}, 
+      {{ SC_(-0.85e2), SC_(0.10074598388671875e4), SC_(-4.163682178034477865419644212672881655736983426055e-438) }}, 
+      {{ SC_(-0.85e2), SC_(0.1185395751953125e4), SC_(-1.1855944110337321358335194728357090546728991002798e-515) }}, 
+      {{ SC_(-0.85e2), SC_(0.353451806640625e4), SC_(-5.5739893359223912155589799460065075879733445391168e-1537) }}, 
+      {{ SC_(-0.85e2), SC_(0.80715478515625e4), SC_(-8.1337781676891146043172626859523144985078784468345e-3508) }}, 
+      {{ SC_(-0.85e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.5444555358678712478142893859896373579504424808833e-7051)) }}, 
+      {{ SC_(-0.85e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.1334966541759079954152078015386003001774040007563e-13929)) }}, 
+      {{ SC_(-0.85e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.8918853367130211844771714641301138255390766751725e-15797)) }}, 
+      {{ SC_(-0.88e2), SC_(0.637722015380859375e2), SC_(-1.4352892326685192269933720541462535626083742663234e-05) }}, 
+      {{ SC_(-0.88e2), SC_(0.1252804412841796875e3), SC_(-4.1973246650065949973709196550419958201971684895847e-43) }}, 
+      {{ SC_(-0.88e2), SC_(0.25554705810546875e3), SC_(-2.7662078787178059924505957855573511486147491827993e-106) }}, 
+      {{ SC_(-0.88e2), SC_(0.503011474609375e3), SC_(-4.2691356322860956850905553978678973095694357478875e-217) }}, 
+      {{ SC_(-0.88e2), SC_(0.10074598388671875e4), SC_(-5.3859271482409235484034083878540429529372064477554e-438) }}, 
+      {{ SC_(-0.88e2), SC_(0.1185395751953125e4), SC_(-1.4755876549974846772926302013801419869024203613031e-515) }}, 
+      {{ SC_(-0.88e2), SC_(0.353451806640625e4), SC_(-5.9986403777420733686664189021548382857880737324782e-1537) }}, 
+      {{ SC_(-0.88e2), SC_(0.80715478515625e4), SC_(-8.3995394550628292156517670639450923693412327537556e-3508) }}, 
+      {{ SC_(-0.88e2), SC_(0.1622925e5), SC_(BOOST_MATH_SMALL_CONSTANT(-6.6499429337777740527854112012152307484800747131988e-7051)) }}, 
+      {{ SC_(-0.88e2), SC_(0.3206622265625e5), SC_(BOOST_MATH_SMALL_CONSTANT(-5.1752092856281561337229432353326859580022400449271e-13929)) }}, 
+      {{ SC_(-0.88e2), SC_(0.3636794921875e5), SC_(BOOST_MATH_SMALL_CONSTANT(-2.91259416631711777510013561133401775712156938498e-15797)) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_y01_data.ipp b/src/boost/libs/math/test/bessel_y01_data.ipp
new file mode 100644
index 000000000..5d7133369
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_y01_data.ipp
@@ -0,0 +1,109 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 100> bessel_y01_data = {{
+      {{ SC_(0.0), SC_(0.23917420208454132080078125e0), SC_(-0.96144387845032600014206252125473909797e0) }}, 
+      {{ SC_(0.0), SC_(0.1785583972930908203125e1), SC_(0.4741447443427281185149710186267060231689e0) }}, 
+      {{ SC_(0.0), SC_(0.48770198822021484375e1), SC_(-0.2878028614684715596290259912770720755831e0) }}, 
+      {{ SC_(0.0), SC_(0.54930877685546875e1), SC_(-0.3396368039207613416368370236707080035826e0) }}, 
+      {{ SC_(0.0), SC_(0.5623225688934326171875e1), SC_(-0.3340373324911775573542553376291358673245e0) }}, 
+      {{ SC_(0.0), SC_(0.6349340915679931640625e1), SC_(-0.2128871385683908276739449505491816562456e0) }}, 
+      {{ SC_(0.0), SC_(0.677385044097900390625e1), SC_(-0.9426827045132919826659947856922431474509e-1) }}, 
+      {{ SC_(0.0), SC_(0.7094316959381103515625e1), SC_(0.2479102692009034386110116691802019548306e-2) }}, 
+      {{ SC_(0.0), SC_(0.788065433502197265625e1), SC_(0.2029626650223921424547972824606518098619e0) }}, 
+      {{ SC_(0.0), SC_(0.941909885406494140625e1), SC_(0.1871389209333241942443487293304042083944e0) }}, 
+      {{ SC_(0.0), SC_(0.105962162017822265625e2), SC_(-0.895681903138232043513826049370887073897e-1) }}, 
+      {{ SC_(0.0), SC_(0.110517024993896484375e2), SC_(-0.1770624440732838746367860550588287464321e0) }}, 
+      {{ SC_(0.0), SC_(0.139249114990234375e2), SC_(0.1142985183059252859759404038734709330922e0) }}, 
+      {{ SC_(0.0), SC_(0.1485147190093994140625e2), SC_(0.2063286797703167877532498353892868456477e0) }}, 
+      {{ SC_(0.0), SC_(0.15408351898193359375e2), SC_(0.1804637317868620678845766162727475608308e0) }}, 
+      {{ SC_(0.0), SC_(0.180646991729736328125e2), SC_(-0.1876865372622732192971339060928812967449e0) }}, 
+      {{ SC_(0.0), SC_(0.199369258880615234375e2), SC_(0.5206684116941857702281164878715312044063e-1) }}, 
+      {{ SC_(0.0), SC_(0.210880641937255859375e2), SC_(0.1723989782023412731879808822208131224943e0) }}, 
+      {{ SC_(0.0), SC_(0.242687816619873046875e2), SC_(-0.1613789161670016087114250427765172807239e0) }}, 
+      {{ SC_(0.0), SC_(0.25183135986328125e2), SC_(-0.1071939400958389283049694534626391030773e0) }}, 
+      {{ SC_(0.0), SC_(0.27344074249267578125e2), SC_(0.1508708516504150084978629879232740523815e0) }}, 
+      {{ SC_(0.0), SC_(0.273610286712646484375e2), SC_(0.1511874592773052558132847555838893071071e0) }}, 
+      {{ SC_(0.0), SC_(0.316179637908935546875e2), SC_(-0.7862384849343525606244284493490404212792e-1) }}, 
+      {{ SC_(0.0), SC_(0.3198816680908203125e2), SC_(-0.3038016447495889126879755326091231324441e-1) }}, 
+      {{ SC_(0.0), SC_(0.327870330810546875e2), SC_(0.7658058565089261314120406134639008633495e-1) }}, 
+      {{ SC_(0.0), SC_(0.33936756134033203125e2), SC_(0.135185927745980170738744171379455779367e0) }}, 
+      {{ SC_(0.0), SC_(0.340679779052734375e2), SC_(0.1308985104522637565167036775360209675704e0) }}, 
+      {{ SC_(0.0), SC_(0.362919464111328125e2), SC_(-0.1073864718556727242939230205939491695933e0) }}, 
+      {{ SC_(0.0), SC_(0.396103668212890625e2), SC_(0.1142550468868382394556084602403207743216e0) }}, 
+      {{ SC_(0.0), SC_(0.3989643096923828125e2), SC_(0.124661273461738151669837813759338802014e0) }}, 
+      {{ SC_(0.0), SC_(0.39905292510986328125e2), SC_(0.1248230809391841736060855994886626203322e0) }}, 
+      {{ SC_(0.0), SC_(0.400140228271484375e2), SC_(0.1260052610908056072451525745074524623778e0) }}, 
+      {{ SC_(0.0), SC_(0.4073618316650390625e2), SC_(0.9737382379702960925368875830625442357192e-1) }}, 
+      {{ SC_(0.0), SC_(0.4175042724609375e2), SC_(-0.1494519243198415326119337512087694723669e-1) }}, 
+      {{ SC_(0.0), SC_(0.424564666748046875e2), SC_(-0.9014506163034071267518605768672279547304e-1) }}, 
+      {{ SC_(0.0), SC_(0.4392153167724609375e2), SC_(-0.9036719621072680503961718730174281767038e-1) }}, 
+      {{ SC_(0.0), SC_(0.452895965576171875e2), SC_(0.5882036891280847548975142664645827422984e-1) }}, 
+      {{ SC_(0.0), SC_(0.45668792724609375e2), SC_(0.9236225506165839536204051297244550413125e-1) }}, 
+      {{ SC_(0.0), SC_(0.45786777496337890625e2), SC_(0.1002478087601361079531531328106555493414e0) }}, 
+      {{ SC_(0.0), SC_(0.466996612548828125e2), SC_(0.1093312781568777333543706682350852686496e0) }}, 
+      {{ SC_(0.0), SC_(0.47858348846435546875e2), SC_(0.6173117074433275797673442689748870252433e-2) }}, 
+      {{ SC_(0.0), SC_(0.4787534332275390625e2), SC_(0.4214269749343140372639153683731024716149e-2) }}, 
+      {{ SC_(0.0), SC_(0.47974620819091796875e2), SC_(-0.7221017162650168684644534187509493067458e-2) }}, 
+      {{ SC_(0.0), SC_(0.48244426727294921875e2), SC_(-0.3749948283323452728759672710131060037256e-1) }}, 
+      {{ SC_(0.0), SC_(0.48384746551513671875e2), SC_(-0.5224122081317449129185406414204132435727e-1) }}, 
+      {{ SC_(0.0), SC_(0.48443389892578125e2), SC_(-0.5810149952964139807372900859379505792103e-1) }}, 
+      {{ SC_(0.0), SC_(0.4852964019775390625e2), SC_(-0.6633946207791363484342690704116317279187e-1) }}, 
+      {{ SC_(0.0), SC_(0.49055484771728515625e2), SC_(-0.1036808657798402644495161610234081710331e0) }}, 
+      {{ SC_(0.0), SC_(0.4964406585693359375e2), SC_(-0.1117659301811653699040137406534766658576e0) }}, 
+      {{ SC_(0.0), SC_(0.4982306671142578125e2), SC_(-0.1065466287843043964466710578381452573432e0) }}, 
+      {{ SC_(0.1e1), SC_(0.23917420208454132080078125e0), SC_(-0.2816025505957848702890230692737435583999e1) }}, 
+      {{ SC_(0.1e1), SC_(0.1785583972930908203125e1), SC_(-0.2323574880952473756698741233078133158232e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48770198822021484375e1), SC_(0.1887793753606189589996790522700420589945e0) }}, 
+      {{ SC_(0.1e1), SC_(0.54930877685546875e1), SC_(-0.2143954097552594432326297820690591750424e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.5623225688934326171875e1), SC_(-0.6432984460938437015021689712475734307787e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.6349340915679931640625e1), SC_(-0.2511307972102585372917123452584402539094e0) }}, 
+      {{ SC_(0.1e1), SC_(0.677385044097900390625e1), SC_(-0.2989785036869612052873436440028846450436e0) }}, 
+      {{ SC_(0.1e1), SC_(0.7094316959381103515625e1), SC_(-0.2997377139745232636871782332312475969025e0) }}, 
+      {{ SC_(0.1e1), SC_(0.788065433502197265625e1), SC_(-0.186133051469056393893281692679499181405e0) }}, 
+      {{ SC_(0.1e1), SC_(0.941909885406494140625e1), SC_(0.190361227136102466719822742808004416221e0) }}, 
+      {{ SC_(0.1e1), SC_(0.105962162017822265625e2), SC_(0.2240497166044468367366329478931466799755e0) }}, 
+      {{ SC_(0.1e1), SC_(0.110517024993896484375e2), SC_(0.1540160818741671628552636923084057652304e0) }}, 
+      {{ SC_(0.1e1), SC_(0.139249114990234375e2), SC_(-0.1766396467501490164858936378782126340342e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1485147190093994140625e2), SC_(-0.9506363681079245319129321117867079275859e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.15408351898193359375e2), SC_(0.99321403407708436538763939792420633861e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.180646991729736328125e2), SC_(-0.3995388258078618389192173389771024944513e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.199369258880615234375e2), SC_(-0.1696600513329557121425560056217261449047e0) }}, 
+      {{ SC_(0.1e1), SC_(0.210880641937255859375e2), SC_(-0.1733957455990071497842225993373989557431e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.242687816619873046875e2), SC_(0.1021971395701211404109265949334393638881e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.25183135986328125e2), SC_(-0.119556229137516783528551234301878875503e0) }}, 
+      {{ SC_(0.1e1), SC_(0.27344074249267578125e2), SC_(-0.1995985480706287524814653648262685912676e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.273610286712646484375e2), SC_(-0.173876060044410140856275457334661052251e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.316179637908935546875e2), SC_(-0.1193701231934014102558224854153342610094e0) }}, 
+      {{ SC_(0.1e1), SC_(0.3198816680908203125e2), SC_(-0.1382462102065444071353719726581548003019e0) }}, 
+      {{ SC_(0.1e1), SC_(0.327870330810546875e2), SC_(-0.1152502985662088783214562688328306893687e0) }}, 
+      {{ SC_(0.1e1), SC_(0.33936756134033203125e2), SC_(0.2394218295328153690551974191920973663242e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.340679779052734375e2), SC_(0.4129906123027152853078275121624211732661e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.362919464111328125e2), SC_(0.7604014342236898104501488355770421840119e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.396103668212890625e2), SC_(-0.5348553383812884892017999878337862380908e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.3989643096923828125e2), SC_(-0.1881415396910400076456852195968705619502e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.39905292510986328125e2), SC_(-0.1770468345557173172933692614949148322983e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.400140228271484375e2), SC_(-0.4025288726928248087599225614592773179551e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.4073618316650390625e2), SC_(0.7959115261091509104088861641763392149822e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4175042724609375e2), SC_(0.1224013166060462132230567141290330120648e0) }}, 
+      {{ SC_(0.1e1), SC_(0.424564666748046875e2), SC_(0.8181451309209186481544883864207065020545e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4392153167724609375e2), SC_(-0.8057815233036708376163307599491467159994e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.452895965576171875e2), SC_(-0.1022936127451748973670400377224684952561e0) }}, 
+      {{ SC_(0.1e1), SC_(0.45668792724609375e2), SC_(-0.725345130575250866364960202825599272059e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.45786777496337890625e2), SC_(-0.6098613412165902384405909899253497503886e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.466996612548828125e2), SC_(0.4213746852981118912882681387493786761666e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.47858348846435546875e2), SC_(0.1152373194909642455028362253859850179066e0) }}, 
+      {{ SC_(0.1e1), SC_(0.4787534332275390625e2), SC_(0.1152846618892812588531426336829335209133e0) }}, 
+      {{ SC_(0.1e1), SC_(0.47974620819091796875e2), SC_(0.1148964835202570220707248379081032143507e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48244426727294921875e2), SC_(0.1081934550363820741605791245861795859361e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48384746551513671875e2), SC_(0.1015812774603423801064358240911218545139e0) }}, 
+      {{ SC_(0.1e1), SC_(0.48443389892578125e2), SC_(0.9822383693317642997910135239495267124437e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4852964019775390625e2), SC_(0.9268396308064766041470606107371977547449e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.49055484771728515625e2), SC_(0.4613847461932302214343079992899045052011e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4964406585693359375e2), SC_(-0.1933115283084264304511911708126688592758e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.4982306671142578125e2), SC_(-0.3881735371825568460631754621811251910549e-1) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_y01_prime_data.ipp b/src/boost/libs/math/test/bessel_y01_prime_data.ipp
new file mode 100644
index 000000000..5ef8f29ea
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_y01_prime_data.ipp
@@ -0,0 +1,207 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 200> bessel_y01_prime_data = {{
+      {{ SC_(0.0), SC_(0.23917420208454132080078125e0), SC_(2.8160255059578487028902306927374355839994931221929) }}, 
+      {{ SC_(0.0), SC_(0.1785583972930908203125e1), SC_(0.23235748809524737566987412330781331582320965659276) }}, 
+      {{ SC_(0.0), SC_(0.48770198822021484375e1), SC_(-0.1887793753606189589996790522700420589944901022832) }}, 
+      {{ SC_(0.0), SC_(0.54930877685546875e1), SC_(0.021439540975525944323262978206905917504240444712475) }}, 
+      {{ SC_(0.0), SC_(0.5623225688934326171875e1), SC_(0.0643298446093843701502168971247573430778699662947) }}, 
+      {{ SC_(0.0), SC_(0.6349340915679931640625e1), SC_(0.25113079721025853729171234525844025390943188982433) }}, 
+      {{ SC_(0.0), SC_(0.677385044097900390625e1), SC_(0.29897850368696120528734364400288464504363404931974) }}, 
+      {{ SC_(0.0), SC_(0.7094316959381103515625e1), SC_(0.29973771397452326368717823323124759690248504450038) }}, 
+      {{ SC_(0.0), SC_(0.788065433502197265625e1), SC_(0.18613305146905639389328169267949918140504113856275) }}, 
+      {{ SC_(0.0), SC_(0.941909885406494140625e1), SC_(-0.19036122713610246671982274280800441622095889554016) }}, 
+      {{ SC_(0.0), SC_(0.105962162017822265625e2), SC_(-0.224049716604446836736632947893146679975465117857) }}, 
+      {{ SC_(0.0), SC_(0.110517024993896484375e2), SC_(-0.15401608187416716285526369230840576523040780614666) }}, 
+      {{ SC_(0.0), SC_(0.139249114990234375e2), SC_(0.1766396467501490164858936378782126340342349979835) }}, 
+      {{ SC_(0.0), SC_(0.1485147190093994140625e2), SC_(0.0095063636810792453191293211178670792758593381498791) }}, 
+      {{ SC_(0.0), SC_(0.15408351898193359375e2), SC_(-0.09932140340770843653876393979242063386099860400886) }}, 
+      {{ SC_(0.0), SC_(0.180646991729736328125e2), SC_(0.0039953882580786183891921733897710249445130816467863) }}, 
+      {{ SC_(0.0), SC_(0.199369258880615234375e2), SC_(0.16966005133295571214255600562172614490470151366759) }}, 
+      {{ SC_(0.0), SC_(0.210880641937255859375e2), SC_(0.017339574559900714978422259933739895574305543221558) }}, 
+      {{ SC_(0.0), SC_(0.242687816619873046875e2), SC_(-0.010219713957012114041092659493343936388808937267772) }}, 
+      {{ SC_(0.0), SC_(0.25183135986328125e2), SC_(0.11955622913751678352855123430187887550301615859819) }}, 
+      {{ SC_(0.0), SC_(0.27344074249267578125e2), SC_(0.019959854807062875248146536482626859126756344259968) }}, 
+      {{ SC_(0.0), SC_(0.273610286712646484375e2), SC_(0.017387606004441014085627545733466105225101904851547) }}, 
+      {{ SC_(0.0), SC_(0.316179637908935546875e2), SC_(0.11937012319340141025582248541533426100937338072567) }}, 
+      {{ SC_(0.0), SC_(0.3198816680908203125e2), SC_(0.13824621020654440713537197265815480030190621850228) }}, 
+      {{ SC_(0.0), SC_(0.327870330810546875e2), SC_(0.11525029856620887832145626883283068936873160517223) }}, 
+      {{ SC_(0.0), SC_(0.33936756134033203125e2), SC_(-0.023942182953281536905519741919209736632424028771619) }}, 
+      {{ SC_(0.0), SC_(0.340679779052734375e2), SC_(-0.041299061230271528530782751216242117326606839248948) }}, 
+      {{ SC_(0.0), SC_(0.362919464111328125e2), SC_(-0.076040143422368981045014883557704218401187566123835) }}, 
+      {{ SC_(0.0), SC_(0.396103668212890625e2), SC_(0.053485533838128848920179998783378623809083891299153) }}, 
+      {{ SC_(0.0), SC_(0.3989643096923828125e2), SC_(0.018814153969104000764568521959687056195021386688711) }}, 
+      {{ SC_(0.0), SC_(0.39905292510986328125e2), SC_(0.017704683455571731729336926149491483229833968511736) }}, 
+      {{ SC_(0.0), SC_(0.400140228271484375e2), SC_(0.0040252887269282480875992256145927731795506603298093) }}, 
+      {{ SC_(0.0), SC_(0.4073618316650390625e2), SC_(-0.079591152610915091040888616417633921498221900112947) }}, 
+      {{ SC_(0.0), SC_(0.4175042724609375e2), SC_(-0.12240131660604621322305671412903301206477516365437) }}, 
+      {{ SC_(0.0), SC_(0.424564666748046875e2), SC_(-0.081814513092091864815448838642070650205449410458487) }}, 
+      {{ SC_(0.0), SC_(0.4392153167724609375e2), SC_(0.080578152330367083761633075994914671599941893724139) }}, 
+      {{ SC_(0.0), SC_(0.452895965576171875e2), SC_(0.10229361274517489736704003772246849525611451668562) }}, 
+      {{ SC_(0.0), SC_(0.45668792724609375e2), SC_(0.072534513057525086636496020282559927205898201325015) }}, 
+      {{ SC_(0.0), SC_(0.45786777496337890625e2), SC_(0.060986134121659023844059098992534975038861816317948) }}, 
+      {{ SC_(0.0), SC_(0.466996612548828125e2), SC_(-0.042137468529811189128826813874937867616660056987678) }}, 
+      {{ SC_(0.0), SC_(0.47858348846435546875e2), SC_(-0.11523731949096424550283622538598501790663780060723) }}, 
+      {{ SC_(0.0), SC_(0.4787534332275390625e2), SC_(-0.11528466188928125885314263368293352091332521612242) }}, 
+      {{ SC_(0.0), SC_(0.47974620819091796875e2), SC_(-0.11489648352025702207072483790810321435068976951751) }}, 
+      {{ SC_(0.0), SC_(0.48244426727294921875e2), SC_(-0.10819345503638207416057912458617958593607541362806) }}, 
+      {{ SC_(0.0), SC_(0.48384746551513671875e2), SC_(-0.1015812774603423801064358240911218545138513149809) }}, 
+      {{ SC_(0.0), SC_(0.48443389892578125e2), SC_(-0.098223836933176429979101352394952671244373747207488) }}, 
+      {{ SC_(0.0), SC_(0.4852964019775390625e2), SC_(-0.092683963080647660414706061073719775474487057139519) }}, 
+      {{ SC_(0.0), SC_(0.49055484771728515625e2), SC_(-0.046138474619323022143430799928990450520107652848685) }}, 
+      {{ SC_(0.0), SC_(0.4964406585693359375e2), SC_(0.019331152830842643045119117081266885927575607100241) }}, 
+      {{ SC_(0.0), SC_(0.4982306671142578125e2), SC_(0.038817353718255684606317546218112519105490212133233) }}, 
+      {{ SC_(0.1e1), SC_(0.23917420208454132080078125e0), SC_(10.812507832957341931214545992895156231599712258219) }}, 
+      {{ SC_(0.1e1), SC_(0.1785583972930908203125e1), SC_(0.60427443391081334334181766626081228620063260873387) }}, 
+      {{ SC_(0.1e1), SC_(0.48770198822021484375e1), SC_(-0.32651079785592346752758523165581662958177729561328) }}, 
+      {{ SC_(0.1e1), SC_(0.54930877685546875e1), SC_(-0.33573380038634539617323513325620839606154581909545) }}, 
+      {{ SC_(0.1e1), SC_(0.5623225688934326171875e1), SC_(-0.32259730710930893351234797174139245532480760094248) }}, 
+      {{ SC_(0.1e1), SC_(0.6349340915679931640625e1), SC_(-0.17333487628710714853031704408209329445293558203247) }}, 
+      {{ SC_(0.1e1), SC_(0.677385044097900390625e1), SC_(-0.05013111296726895738243888200503807220753517365074) }}, 
+      {{ SC_(0.1e1), SC_(0.7094316959381103515625e1), SC_(0.044729500537310816106485996408474823544743607412177) }}, 
+      {{ SC_(0.1e1), SC_(0.788065433502197265625e1), SC_(0.22658164938031188644633615195221479628960534668393) }}, 
+      {{ SC_(0.1e1), SC_(0.941909885406494140625e1), SC_(0.16692878936071101734106705164639746574338989772005) }}, 
+      {{ SC_(0.1e1), SC_(0.105962162017822265625e2), SC_(-0.1107125037496667349586051121610516323112495107989) }}, 
+      {{ SC_(0.1e1), SC_(0.110517024993896484375e2), SC_(-0.19099840388424268371627580842969730925336096713735) }}, 
+      {{ SC_(0.1e1), SC_(0.139249114990234375e2), SC_(0.12698367230223878945389202630341598267573794523809) }}, 
+      {{ SC_(0.1e1), SC_(0.1485147190093994140625e2), SC_(0.2069687754958103391932774260823023192952119380199) }}, 
+      {{ SC_(0.1e1), SC_(0.15408351898193359375e2), SC_(0.17401778584378207213590175652108236648871939175921) }}, 
+      {{ SC_(0.1e1), SC_(0.180646991729736328125e2), SC_(-0.1874653662247806012047325668402622759309518551284) }}, 
+      {{ SC_(0.1e1), SC_(0.199369258880615234375e2), SC_(0.060576681266409168671201178629315636969603677417947) }}, 
+      {{ SC_(0.1e1), SC_(0.210880641937255859375e2), SC_(0.17322122411361177407572623619907102624702081212558) }}, 
+      {{ SC_(0.1e1), SC_(0.242687816619873046875e2), SC_(-0.1618000215236425423458293655202291632317096016852) }}, 
+      {{ SC_(0.1e1), SC_(0.25183135986328125e2), SC_(-0.10244646824791563451028965200141454446371330311042) }}, 
+      {{ SC_(0.1e1), SC_(0.27344074249267578125e2), SC_(0.15160080339883075557243731644472737434389412791864) }}, 
+      {{ SC_(0.1e1), SC_(0.273610286712646484375e2), SC_(0.15182294729982620678273880207456651361954838794093) }}, 
+      {{ SC_(0.1e1), SC_(0.316179637908935546875e2), SC_(-0.074848459161508012008212703662365112002478351328335) }}, 
+      {{ SC_(0.1e1), SC_(0.3198816680908203125e2), SC_(-0.026058372262493194259685050043992626827114618164324) }}, 
+      {{ SC_(0.1e1), SC_(0.327870330810546875e2), SC_(0.080095703907591597355456547131827347703852175245458) }}, 
+      {{ SC_(0.1e1), SC_(0.33936756134033203125e2), SC_(0.13448043359507423570848832873966795287653905709874) }}, 
+      {{ SC_(0.1e1), SC_(0.340679779052734375e2), SC_(0.12968625590210805796183153586957109125536077909944) }}, 
+      {{ SC_(0.1e1), SC_(0.362919464111328125e2), SC_(-0.10948170649977114957454569018334523887144494213971) }}, 
+      {{ SC_(0.1e1), SC_(0.396103668212890625e2), SC_(0.11560533819010843318104637742152251378818310919985) }}, 
+      {{ SC_(0.1e1), SC_(0.3989643096923828125e2), SC_(0.12513284832475310290871439971297893236202382151324) }}, 
+      {{ SC_(0.1e1), SC_(0.39905292510986328125e2), SC_(0.12526674849156954841371081792458342160101433537496) }}, 
+      {{ SC_(0.1e1), SC_(0.400140228271484375e2), SC_(0.12610585804263713361765492939092873392682615399216) }}, 
+      {{ SC_(0.1e1), SC_(0.4073618316650390625e2), SC_(0.095420004209033441386616846916828715092923981164045) }}, 
+      {{ SC_(0.1e1), SC_(0.4175042724609375e2), SC_(-0.017876930492640725704353138240070555890101837210027) }}, 
+      {{ SC_(0.1e1), SC_(0.424564666748046875e2), SC_(-0.092072082871150743792820142997585126140424565877647) }}, 
+      {{ SC_(0.1e1), SC_(0.4392153167724609375e2), SC_(-0.088532602806232415557877716387220939105895451064964) }}, 
+      {{ SC_(0.1e1), SC_(0.452895965576171875e2), SC_(0.061079024774647242348217514169879728603535253369637) }}, 
+      {{ SC_(0.1e1), SC_(0.45668792724609375e2), SC_(0.093950528119256405378181578872389655349732106204859) }}, 
+      {{ SC_(0.1e1), SC_(0.45786777496337890625e2), SC_(0.10157976827894122161910168738072866258894632748933) }}, 
+      {{ SC_(0.1e1), SC_(0.466996612548828125e2), SC_(0.10842897035854428421543763648314206962873595663058) }}, 
+      {{ SC_(0.1e1), SC_(0.47858348846435546875e2), SC_(0.0037652337631905597277430302803174864751392038332945) }}, 
+      {{ SC_(0.1e1), SC_(0.4787534332275390625e2), SC_(0.0018062523047039610297840146828025221156156219518872) }}, 
+      {{ SC_(0.1e1), SC_(0.47974620819091796875e2), SC_(-0.0096159601879118348759744115308897311034863484471548) }}, 
+      {{ SC_(0.1e1), SC_(0.48244426727294921875e2), SC_(-0.039742093272943000337244904492140484310575453741429) }}, 
+      {{ SC_(0.1e1), SC_(0.48384746551513671875e2), SC_(-0.054340669186892685422812555325029652310344886183215) }}, 
+      {{ SC_(0.1e1), SC_(0.48443389892578125e2), SC_(-0.060129099933968697776798880462499159004592800619415) }}, 
+      {{ SC_(0.1e1), SC_(0.4852964019775390625e2), SC_(-0.068249304448534329151126356792676147875495846808989) }}, 
+      {{ SC_(0.1e1), SC_(0.49055484771728515625e2), SC_(-0.1046214022934232142095256297166114261466610970061) }}, 
+      {{ SC_(0.1e1), SC_(0.4964406585693359375e2), SC_(-0.11137653514477669071095901730717066194022626312986) }}, 
+      {{ SC_(0.1e1), SC_(0.4982306671142578125e2), SC_(-0.1057675247210582492156600670383499544602927957322) }},
+      {{ SC_(-0.0), SC_(0.23917420208454132080078125e0), SC_(2.8160255059578487028902306927374355839994931221929) }}, 
+      {{ SC_(-0.0), SC_(0.1785583972930908203125e1), SC_(0.23235748809524737566987412330781331582320965659276) }}, 
+      {{ SC_(-0.0), SC_(0.48770198822021484375e1), SC_(-0.1887793753606189589996790522700420589944901022832) }}, 
+      {{ SC_(-0.0), SC_(0.54930877685546875e1), SC_(0.021439540975525944323262978206905917504240444712475) }}, 
+      {{ SC_(-0.0), SC_(0.5623225688934326171875e1), SC_(0.0643298446093843701502168971247573430778699662947) }}, 
+      {{ SC_(-0.0), SC_(0.6349340915679931640625e1), SC_(0.25113079721025853729171234525844025390943188982433) }}, 
+      {{ SC_(-0.0), SC_(0.677385044097900390625e1), SC_(0.29897850368696120528734364400288464504363404931974) }}, 
+      {{ SC_(-0.0), SC_(0.7094316959381103515625e1), SC_(0.29973771397452326368717823323124759690248504450038) }}, 
+      {{ SC_(-0.0), SC_(0.788065433502197265625e1), SC_(0.18613305146905639389328169267949918140504113856275) }}, 
+      {{ SC_(-0.0), SC_(0.941909885406494140625e1), SC_(-0.19036122713610246671982274280800441622095889554016) }}, 
+      {{ SC_(-0.0), SC_(0.105962162017822265625e2), SC_(-0.224049716604446836736632947893146679975465117857) }}, 
+      {{ SC_(-0.0), SC_(0.110517024993896484375e2), SC_(-0.15401608187416716285526369230840576523040780614666) }}, 
+      {{ SC_(-0.0), SC_(0.139249114990234375e2), SC_(0.1766396467501490164858936378782126340342349979835) }}, 
+      {{ SC_(-0.0), SC_(0.1485147190093994140625e2), SC_(0.0095063636810792453191293211178670792758593381498791) }}, 
+      {{ SC_(-0.0), SC_(0.15408351898193359375e2), SC_(-0.09932140340770843653876393979242063386099860400886) }}, 
+      {{ SC_(-0.0), SC_(0.180646991729736328125e2), SC_(0.0039953882580786183891921733897710249445130816467863) }}, 
+      {{ SC_(-0.0), SC_(0.199369258880615234375e2), SC_(0.16966005133295571214255600562172614490470151366759) }}, 
+      {{ SC_(-0.0), SC_(0.210880641937255859375e2), SC_(0.017339574559900714978422259933739895574305543221558) }}, 
+      {{ SC_(-0.0), SC_(0.242687816619873046875e2), SC_(-0.010219713957012114041092659493343936388808937267772) }}, 
+      {{ SC_(-0.0), SC_(0.25183135986328125e2), SC_(0.11955622913751678352855123430187887550301615859819) }}, 
+      {{ SC_(-0.0), SC_(0.27344074249267578125e2), SC_(0.019959854807062875248146536482626859126756344259968) }}, 
+      {{ SC_(-0.0), SC_(0.273610286712646484375e2), SC_(0.017387606004441014085627545733466105225101904851547) }}, 
+      {{ SC_(-0.0), SC_(0.316179637908935546875e2), SC_(0.11937012319340141025582248541533426100937338072567) }}, 
+      {{ SC_(-0.0), SC_(0.3198816680908203125e2), SC_(0.13824621020654440713537197265815480030190621850228) }}, 
+      {{ SC_(-0.0), SC_(0.327870330810546875e2), SC_(0.11525029856620887832145626883283068936873160517223) }}, 
+      {{ SC_(-0.0), SC_(0.33936756134033203125e2), SC_(-0.023942182953281536905519741919209736632424028771619) }}, 
+      {{ SC_(-0.0), SC_(0.340679779052734375e2), SC_(-0.041299061230271528530782751216242117326606839248948) }}, 
+      {{ SC_(-0.0), SC_(0.362919464111328125e2), SC_(-0.076040143422368981045014883557704218401187566123835) }}, 
+      {{ SC_(-0.0), SC_(0.396103668212890625e2), SC_(0.053485533838128848920179998783378623809083891299153) }}, 
+      {{ SC_(-0.0), SC_(0.3989643096923828125e2), SC_(0.018814153969104000764568521959687056195021386688711) }}, 
+      {{ SC_(-0.0), SC_(0.39905292510986328125e2), SC_(0.017704683455571731729336926149491483229833968511736) }}, 
+      {{ SC_(-0.0), SC_(0.400140228271484375e2), SC_(0.0040252887269282480875992256145927731795506603298093) }}, 
+      {{ SC_(-0.0), SC_(0.4073618316650390625e2), SC_(-0.079591152610915091040888616417633921498221900112947) }}, 
+      {{ SC_(-0.0), SC_(0.4175042724609375e2), SC_(-0.12240131660604621322305671412903301206477516365437) }}, 
+      {{ SC_(-0.0), SC_(0.424564666748046875e2), SC_(-0.081814513092091864815448838642070650205449410458487) }}, 
+      {{ SC_(-0.0), SC_(0.4392153167724609375e2), SC_(0.080578152330367083761633075994914671599941893724139) }}, 
+      {{ SC_(-0.0), SC_(0.452895965576171875e2), SC_(0.10229361274517489736704003772246849525611451668562) }}, 
+      {{ SC_(-0.0), SC_(0.45668792724609375e2), SC_(0.072534513057525086636496020282559927205898201325015) }}, 
+      {{ SC_(-0.0), SC_(0.45786777496337890625e2), SC_(0.060986134121659023844059098992534975038861816317948) }}, 
+      {{ SC_(-0.0), SC_(0.466996612548828125e2), SC_(-0.042137468529811189128826813874937867616660056987678) }}, 
+      {{ SC_(-0.0), SC_(0.47858348846435546875e2), SC_(-0.11523731949096424550283622538598501790663780060723) }}, 
+      {{ SC_(-0.0), SC_(0.4787534332275390625e2), SC_(-0.11528466188928125885314263368293352091332521612242) }}, 
+      {{ SC_(-0.0), SC_(0.47974620819091796875e2), SC_(-0.11489648352025702207072483790810321435068976951751) }}, 
+      {{ SC_(-0.0), SC_(0.48244426727294921875e2), SC_(-0.10819345503638207416057912458617958593607541362806) }}, 
+      {{ SC_(-0.0), SC_(0.48384746551513671875e2), SC_(-0.1015812774603423801064358240911218545138513149809) }}, 
+      {{ SC_(-0.0), SC_(0.48443389892578125e2), SC_(-0.098223836933176429979101352394952671244373747207488) }}, 
+      {{ SC_(-0.0), SC_(0.4852964019775390625e2), SC_(-0.092683963080647660414706061073719775474487057139519) }}, 
+      {{ SC_(-0.0), SC_(0.49055484771728515625e2), SC_(-0.046138474619323022143430799928990450520107652848685) }}, 
+      {{ SC_(-0.0), SC_(0.4964406585693359375e2), SC_(0.019331152830842643045119117081266885927575607100241) }}, 
+      {{ SC_(-0.0), SC_(0.4982306671142578125e2), SC_(0.038817353718255684606317546218112519105490212133233) }}, 
+      {{ SC_(-0.1e1), SC_(0.23917420208454132080078125e0), SC_(-10.812507832957341931214545992895156231599712258219) }}, 
+      {{ SC_(-0.1e1), SC_(0.1785583972930908203125e1), SC_(-0.60427443391081334334181766626081228620063260873387) }}, 
+      {{ SC_(-0.1e1), SC_(0.48770198822021484375e1), SC_(0.32651079785592346752758523165581662958177729561328) }}, 
+      {{ SC_(-0.1e1), SC_(0.54930877685546875e1), SC_(0.33573380038634539617323513325620839606154581909545) }}, 
+      {{ SC_(-0.1e1), SC_(0.5623225688934326171875e1), SC_(0.32259730710930893351234797174139245532480760094248) }}, 
+      {{ SC_(-0.1e1), SC_(0.6349340915679931640625e1), SC_(0.17333487628710714853031704408209329445293558203247) }}, 
+      {{ SC_(-0.1e1), SC_(0.677385044097900390625e1), SC_(0.05013111296726895738243888200503807220753517365074) }}, 
+      {{ SC_(-0.1e1), SC_(0.7094316959381103515625e1), SC_(-0.044729500537310816106485996408474823544743607412177) }}, 
+      {{ SC_(-0.1e1), SC_(0.788065433502197265625e1), SC_(-0.22658164938031188644633615195221479628960534668393) }}, 
+      {{ SC_(-0.1e1), SC_(0.941909885406494140625e1), SC_(-0.16692878936071101734106705164639746574338989772005) }}, 
+      {{ SC_(-0.1e1), SC_(0.105962162017822265625e2), SC_(0.1107125037496667349586051121610516323112495107989) }}, 
+      {{ SC_(-0.1e1), SC_(0.110517024993896484375e2), SC_(0.19099840388424268371627580842969730925336096713735) }}, 
+      {{ SC_(-0.1e1), SC_(0.139249114990234375e2), SC_(-0.12698367230223878945389202630341598267573794523809) }}, 
+      {{ SC_(-0.1e1), SC_(0.1485147190093994140625e2), SC_(-0.2069687754958103391932774260823023192952119380199) }}, 
+      {{ SC_(-0.1e1), SC_(0.15408351898193359375e2), SC_(-0.17401778584378207213590175652108236648871939175921) }}, 
+      {{ SC_(-0.1e1), SC_(0.180646991729736328125e2), SC_(0.1874653662247806012047325668402622759309518551284) }}, 
+      {{ SC_(-0.1e1), SC_(0.199369258880615234375e2), SC_(-0.060576681266409168671201178629315636969603677417947) }}, 
+      {{ SC_(-0.1e1), SC_(0.210880641937255859375e2), SC_(-0.17322122411361177407572623619907102624702081212558) }}, 
+      {{ SC_(-0.1e1), SC_(0.242687816619873046875e2), SC_(0.1618000215236425423458293655202291632317096016852) }}, 
+      {{ SC_(-0.1e1), SC_(0.25183135986328125e2), SC_(0.10244646824791563451028965200141454446371330311042) }}, 
+      {{ SC_(-0.1e1), SC_(0.27344074249267578125e2), SC_(-0.15160080339883075557243731644472737434389412791864) }}, 
+      {{ SC_(-0.1e1), SC_(0.273610286712646484375e2), SC_(-0.15182294729982620678273880207456651361954838794093) }}, 
+      {{ SC_(-0.1e1), SC_(0.316179637908935546875e2), SC_(0.074848459161508012008212703662365112002478351328335) }}, 
+      {{ SC_(-0.1e1), SC_(0.3198816680908203125e2), SC_(0.026058372262493194259685050043992626827114618164324) }}, 
+      {{ SC_(-0.1e1), SC_(0.327870330810546875e2), SC_(-0.080095703907591597355456547131827347703852175245458) }}, 
+      {{ SC_(-0.1e1), SC_(0.33936756134033203125e2), SC_(-0.13448043359507423570848832873966795287653905709874) }}, 
+      {{ SC_(-0.1e1), SC_(0.340679779052734375e2), SC_(-0.12968625590210805796183153586957109125536077909944) }}, 
+      {{ SC_(-0.1e1), SC_(0.362919464111328125e2), SC_(0.10948170649977114957454569018334523887144494213971) }}, 
+      {{ SC_(-0.1e1), SC_(0.396103668212890625e2), SC_(-0.11560533819010843318104637742152251378818310919985) }}, 
+      {{ SC_(-0.1e1), SC_(0.3989643096923828125e2), SC_(-0.12513284832475310290871439971297893236202382151324) }}, 
+      {{ SC_(-0.1e1), SC_(0.39905292510986328125e2), SC_(-0.12526674849156954841371081792458342160101433537496) }}, 
+      {{ SC_(-0.1e1), SC_(0.400140228271484375e2), SC_(-0.12610585804263713361765492939092873392682615399216) }}, 
+      {{ SC_(-0.1e1), SC_(0.4073618316650390625e2), SC_(-0.095420004209033441386616846916828715092923981164045) }}, 
+      {{ SC_(-0.1e1), SC_(0.4175042724609375e2), SC_(0.017876930492640725704353138240070555890101837210027) }}, 
+      {{ SC_(-0.1e1), SC_(0.424564666748046875e2), SC_(0.092072082871150743792820142997585126140424565877647) }}, 
+      {{ SC_(-0.1e1), SC_(0.4392153167724609375e2), SC_(0.088532602806232415557877716387220939105895451064964) }}, 
+      {{ SC_(-0.1e1), SC_(0.452895965576171875e2), SC_(-0.061079024774647242348217514169879728603535253369637) }}, 
+      {{ SC_(-0.1e1), SC_(0.45668792724609375e2), SC_(-0.093950528119256405378181578872389655349732106204859) }}, 
+      {{ SC_(-0.1e1), SC_(0.45786777496337890625e2), SC_(-0.10157976827894122161910168738072866258894632748933) }}, 
+      {{ SC_(-0.1e1), SC_(0.466996612548828125e2), SC_(-0.10842897035854428421543763648314206962873595663058) }}, 
+      {{ SC_(-0.1e1), SC_(0.47858348846435546875e2), SC_(-0.0037652337631905597277430302803174864751392038332945) }}, 
+      {{ SC_(-0.1e1), SC_(0.4787534332275390625e2), SC_(-0.0018062523047039610297840146828025221156156219518872) }}, 
+      {{ SC_(-0.1e1), SC_(0.47974620819091796875e2), SC_(0.0096159601879118348759744115308897311034863484471548) }}, 
+      {{ SC_(-0.1e1), SC_(0.48244426727294921875e2), SC_(0.039742093272943000337244904492140484310575453741429) }}, 
+      {{ SC_(-0.1e1), SC_(0.48384746551513671875e2), SC_(0.054340669186892685422812555325029652310344886183215) }}, 
+      {{ SC_(-0.1e1), SC_(0.48443389892578125e2), SC_(0.060129099933968697776798880462499159004592800619415) }}, 
+      {{ SC_(-0.1e1), SC_(0.4852964019775390625e2), SC_(0.068249304448534329151126356792676147875495846808989) }}, 
+      {{ SC_(-0.1e1), SC_(0.49055484771728515625e2), SC_(0.1046214022934232142095256297166114261466610970061) }}, 
+      {{ SC_(-0.1e1), SC_(0.4964406585693359375e2), SC_(0.11137653514477669071095901730717066194022626312986) }}, 
+      {{ SC_(-0.1e1), SC_(0.4982306671142578125e2), SC_(0.1057675247210582492156600670383499544602927957322) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_yn_data.ipp b/src/boost/libs/math/test/bessel_yn_data.ipp
new file mode 100644
index 000000000..560009907
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yn_data.ipp
@@ -0,0 +1,309 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 300> bessel_yn_data = {{
+      {{ SC_(0.3e1), SC_(0.48770198822021484375e1), SC_(0.110763167474753768460862899966350902213e0) }}, 
+      {{ SC_(0.3e1), SC_(0.6349340915679931640625e1), SC_(0.3354120577583840086404698897976135110485e0) }}, 
+      {{ SC_(0.3e1), SC_(0.677385044097900390625e1), SC_(0.3025179709577162581120705977708622170952e0) }}, 
+      {{ SC_(0.3e1), SC_(0.941909885406494140625e1), SC_(-0.2526681038602083570260072993947985762425e0) }}, 
+      {{ SC_(0.3e1), SC_(0.110517024993896484375e2), SC_(-0.7984312482740648942854070462466960846308e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.139249114990234375e2), SC_(0.1365190825919215541308802073699101624338e0) }}, 
+      {{ SC_(0.3e1), SC_(0.15408351898193359375e2), SC_(-0.1428229643813645478620540882069209010424e0) }}, 
+      {{ SC_(0.3e1), SC_(0.27344074249267578125e2), SC_(-0.2323694273239485669670827936469439230487e-2) }}, 
+      {{ SC_(0.3e1), SC_(0.273610286712646484375e2), SC_(-0.4900800934361467422069755250398652540081e-2) }}, 
+      {{ SC_(0.3e1), SC_(0.316179637908935546875e2), SC_(0.1283616028850886874076400480565553924498e0) }}, 
+      {{ SC_(0.3e1), SC_(0.4073618316650390625e2), SC_(-0.8876885924474539097667043483672377859036e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.4175042724609375e2), SC_(-0.1204076921163476847306821484924527347889e0) }}, 
+      {{ SC_(0.3e1), SC_(0.452895965576171875e2), SC_(0.9669959686067408105414856540894770457144e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.45668792724609375e2), SC_(0.6416654049008983918193469604019080196524e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.48443389892578125e2), SC_(-0.9309152059642734958018227116834056340071e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.48770198822021484375e1), SC_(-0.7682201721816641589208505594820750775031e0) }}, 
+      {{ SC_(0.6e1), SC_(0.6349340915679931640625e1), SC_(-0.3479423535919170112541557568046971845486e0) }}, 
+      {{ SC_(0.6e1), SC_(0.677385044097900390625e1), SC_(-0.2518297913144822384948024722074769783391e0) }}, 
+      {{ SC_(0.6e1), SC_(0.941909885406494140625e1), SC_(0.2696495425502131298219276073956952657041e0) }}, 
+      {{ SC_(0.6e1), SC_(0.110517024993896484375e2), SC_(0.1579058061166539049950139801492495632319e0) }}, 
+      {{ SC_(0.6e1), SC_(0.139249114990234375e2), SC_(-0.214638507088782708332760891144120271447e0) }}, 
+      {{ SC_(0.6e1), SC_(0.15408351898193359375e2), SC_(0.1846008639272405573148078141757591445936e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.27344074249267578125e2), SC_(-0.1347270014641035443110406257337437495382e0) }}, 
+      {{ SC_(0.6e1), SC_(0.273610286712646484375e2), SC_(-0.1334153397469278773891149524770013367273e0) }}, 
+      {{ SC_(0.6e1), SC_(0.316179637908935546875e2), SC_(0.2378484491732698166359206052246509293721e-2) }}, 
+      {{ SC_(0.6e1), SC_(0.4073618316650390625e2), SC_(-0.5472472826251697058558978710700928656814e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.4175042724609375e2), SC_(0.6520327308993981465264074827650561383002e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.452895965576171875e2), SC_(-0.9452992234494168858802163379037878510028e-1) }}, 
+      {{ SC_(0.6e1), SC_(0.45668792724609375e2), SC_(-0.1140314635876510494905774064172128035215e0) }}, 
+      {{ SC_(0.6e1), SC_(0.48443389892578125e2), SC_(0.9039125064888635209873025550900765793581e-1) }}, 
+      {{ SC_(0.9e1), SC_(0.48770198822021484375e1), SC_(-0.9297117648579269026592450591820736286048e1) }}, 
+      {{ SC_(0.9e1), SC_(0.6349340915679931640625e1), SC_(-0.1642785653883350207327509679573278148917e1) }}, 
+      {{ SC_(0.9e1), SC_(0.677385044097900390625e1), SC_(-0.1163556464540991454316123708406235280022e1) }}, 
+      {{ SC_(0.9e1), SC_(0.941909885406494140625e1), SC_(-0.3010601044539710017331500982549858067088e0) }}, 
+      {{ SC_(0.9e1), SC_(0.110517024993896484375e2), SC_(-0.2324009087284838473547366749630392221952e-2) }}, 
+      {{ SC_(0.9e1), SC_(0.139249114990234375e2), SC_(0.2214037020748939190117162404706773042894e0) }}, 
+      {{ SC_(0.9e1), SC_(0.15408351898193359375e2), SC_(-0.8624940937284109551983786643262863800438e-2) }}, 
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+      {{ SC_(0.39e2), SC_(0.6349340915679931640625e1), SC_(-0.5898284655302538808806988321276025813845e25) }}, 
+      {{ SC_(0.39e2), SC_(0.677385044097900390625e1), SC_(-0.4904509402336609269919728103147054195654e24) }}, 
+      {{ SC_(0.39e2), SC_(0.941909885406494140625e1), SC_(-0.1701017598526523993821571611323638754576e19) }}, 
+      {{ SC_(0.39e2), SC_(0.110517024993896484375e2), SC_(-0.417530693969750949899048280358754304865e16) }}, 
+      {{ SC_(0.39e2), SC_(0.139249114990234375e2), SC_(-0.82735284556625303260320668828414334725e12) }}, 
+      {{ SC_(0.39e2), SC_(0.15408351898193359375e2), SC_(-0.2150905699012014456845831243381060537536e11) }}, 
+      {{ SC_(0.39e2), SC_(0.27344074249267578125e2), SC_(-0.173136202360576514562595059683668653722e3) }}, 
+      {{ SC_(0.39e2), SC_(0.273610286712646484375e2), SC_(-0.170234226215207199774450660598470420203e3) }}, 
+      {{ SC_(0.39e2), SC_(0.316179637908935546875e2), SC_(-0.476564200718666827425515092297538626754e1) }}, 
+      {{ SC_(0.39e2), SC_(0.4073618316650390625e2), SC_(-0.1139728443291009808277788472915789866764e0) }}, 
+      {{ SC_(0.39e2), SC_(0.4175042724609375e2), SC_(-0.3789392025172586855842365357167594570805e-1) }}, 
+      {{ SC_(0.39e2), SC_(0.452895965576171875e2), SC_(0.1632271611911285678989399827341146194315e0) }}, 
+      {{ SC_(0.39e2), SC_(0.45668792724609375e2), SC_(0.1627608022568010137669993716629446289949e0) }}, 
+      {{ SC_(0.39e2), SC_(0.48443389892578125e2), SC_(-0.3909325122429817340070823484524675983864e-2) }}, 
+      {{ SC_(0.42e2), SC_(0.48770198822021484375e1), SC_(-0.6778761113696976108831204681937591870923e33) }}, 
+      {{ SC_(0.42e2), SC_(0.6349340915679931640625e1), SC_(-0.1156175851690544099284032996632355510762e29) }}, 
+      {{ SC_(0.42e2), SC_(0.677385044097900390625e1), SC_(-0.7895552037472749766365607521724398751657e27) }}, 
+      {{ SC_(0.42e2), SC_(0.941909885406494140625e1), SC_(-0.9970250213779731769482155702312393531646e21) }}, 
+      {{ SC_(0.42e2), SC_(0.110517024993896484375e2), SC_(-0.1489524208745775017256038034837378483054e19) }}, 
+      {{ SC_(0.42e2), SC_(0.139249114990234375e2), SC_(-0.1421193372601400943383360047532395451619e15) }}, 
+      {{ SC_(0.42e2), SC_(0.15408351898193359375e2), SC_(-0.266364645856547563022563347741616424841e13) }}, 
+      {{ SC_(0.42e2), SC_(0.27344074249267578125e2), SC_(-0.2743088520517812194850488183554456816175e4) }}, 
+      {{ SC_(0.42e2), SC_(0.273610286712646484375e2), SC_(-0.2690083634003523361552911979208904087728e4) }}, 
+      {{ SC_(0.42e2), SC_(0.316179637908935546875e2), SC_(-0.384805041736847573781666237608273412272e2) }}, 
+      {{ SC_(0.42e2), SC_(0.4073618316650390625e2), SC_(-0.3041722094268398285198996796280539333307e0) }}, 
+      {{ SC_(0.42e2), SC_(0.4175042724609375e2), SC_(-0.237942599990390419264117350357852632925e0) }}, 
+      {{ SC_(0.42e2), SC_(0.452895965576171875e2), SC_(-0.1769165908357241638186400615615275561375e-2) }}, 
+      {{ SC_(0.42e2), SC_(0.45668792724609375e2), SC_(0.2627264307139144752250072910959109882562e-1) }}, 
+      {{ SC_(0.42e2), SC_(0.48443389892578125e2), SC_(0.1595445273747734203624873579243265164658e0) }}, 
+      {{ SC_(0.45e2), SC_(0.48770198822021484375e1), SC_(-0.3678158809277406631158967826248579712809e37) }}, 
+      {{ SC_(0.45e2), SC_(0.6349340915679931640625e1), SC_(-0.2823290277495845250473189621249822637552e32) }}, 
+      {{ SC_(0.45e2), SC_(0.677385044097900390625e1), SC_(-0.1584048114824233231915994262683772557843e31) }}, 
+      {{ SC_(0.45e2), SC_(0.941909885406494140625e1), SC_(-0.7304744289889455012949611900475401935963e24) }}, 
+      {{ SC_(0.45e2), SC_(0.110517024993896484375e2), SC_(-0.6658312289631602826704537808573997071741e21) }}, 
+      {{ SC_(0.45e2), SC_(0.139249114990234375e2), SC_(-0.3075861182582574432943275662208173510923e17) }}, 
+      {{ SC_(0.45e2), SC_(0.15408351898193359375e2), SC_(-0.4170869187140386729800751855187493963783e15) }}, 
+      {{ SC_(0.45e2), SC_(0.27344074249267578125e2), SC_(-0.5841747054602714111411632231058985786773e5) }}, 
+      {{ SC_(0.45e2), SC_(0.273610286712646484375e2), SC_(-0.5714873510732163760028674196101817926392e5) }}, 
+      {{ SC_(0.45e2), SC_(0.316179637908935546875e2), SC_(-0.4439504087675916287818144789832290059488e3) }}, 
+      {{ SC_(0.45e2), SC_(0.4073618316650390625e2), SC_(-0.7185408908955997967519881533646995655741e0) }}, 
+      {{ SC_(0.45e2), SC_(0.4175042724609375e2), SC_(-0.5010756124409158401140594717316266404372e0) }}, 
+      {{ SC_(0.45e2), SC_(0.452895965576171875e2), SC_(-0.2012825578255357825420510083651093929494e0) }}, 
+      {{ SC_(0.45e2), SC_(0.45668792724609375e2), SC_(-0.1794186322536855399767456087221221709347e0) }}, 
+      {{ SC_(0.45e2), SC_(0.48443389892578125e2), SC_(0.4019015729778697779336545231834378773906e-2) }}, 
+      {{ SC_(0.48e2), SC_(0.48770198822021484375e1), SC_(-0.2446594481694463075060840320557933670105e41) }}, 
+      {{ SC_(0.48e2), SC_(0.6349340915679931640625e1), SC_(-0.8459207003255131733462304451406482680612e35) }}, 
+      {{ SC_(0.48e2), SC_(0.677385044097900390625e1), SC_(-0.3900585059507033418338520667611796016876e34) }}, 
+      {{ SC_(0.48e2), SC_(0.941909885406494140625e1), SC_(-0.6584509350557438141050929296978384665502e27) }}, 
+      {{ SC_(0.48e2), SC_(0.110517024993896484375e2), SC_(-0.3668948448136800346846820718406706247001e24) }}, 
+      {{ SC_(0.48e2), SC_(0.139249114990234375e2), SC_(-0.8242020060037745753714812787166372607277e19) }}, 
+      {{ SC_(0.48e2), SC_(0.15408351898193359375e2), SC_(-0.8108471636196350279814807195501067088811e17) }}, 
+      {{ SC_(0.48e2), SC_(0.27344074249267578125e2), SC_(-0.161478450826312060240470478671833452801e7) }}, 
+      {{ SC_(0.48e2), SC_(0.273610286712646484375e2), SC_(-0.1576027872751121787147362803310570448531e7) }}, 
+      {{ SC_(0.48e2), SC_(0.316179637908935546875e2), SC_(-0.6897332324403501516059328674303313990342e4) }}, 
+      {{ SC_(0.48e2), SC_(0.4073618316650390625e2), SC_(-0.2873562437345553411051362683296702801187e1) }}, 
+      {{ SC_(0.48e2), SC_(0.4175042724609375e2), SC_(-0.1645050914310854634110662323482130128629e1) }}, 
+      {{ SC_(0.48e2), SC_(0.452895965576171875e2), SC_(-0.4095205157936721724910226616684093867583e0) }}, 
+      {{ SC_(0.48e2), SC_(0.45668792724609375e2), SC_(-0.3702549409277610055202576821426084296534e0) }}, 
+      {{ SC_(0.48e2), SC_(0.48443389892578125e2), SC_(-0.1889064785963676989110283778976852771445e0) }}, 
+      {{ SC_(0.51e2), SC_(0.48770198822021484375e1), SC_(-0.1969182678091137840672922747889170648771e45) }}, 
+      {{ SC_(0.51e2), SC_(0.6349340915679931640625e1), SC_(-0.3069134439111231226532450141215242288989e39) }}, 
+      {{ SC_(0.51e2), SC_(0.677385044097900390625e1), SC_(-0.1163353956243705422475270788219762868015e38) }}, 
+      {{ SC_(0.51e2), SC_(0.941909885406494140625e1), SC_(-0.7202983789334716962996909315059777818759e30) }}, 
+      {{ SC_(0.51e2), SC_(0.110517024993896484375e2), SC_(-0.245737676689172511133503788575172294214e27) }}, 
+      {{ SC_(0.51e2), SC_(0.139249114990234375e2), SC_(-0.2693876853731198001028217985845998477702e22) }}, 
+      {{ SC_(0.51e2), SC_(0.15408351898193359375e2), SC_(-0.1927060716887504354505080102215582890868e20) }}, 
+      {{ SC_(0.51e2), SC_(0.27344074249267578125e2), SC_(-0.5643892233771978378997816826534156972962e8) }}, 
+      {{ SC_(0.51e2), SC_(0.273610286712646484375e2), SC_(-0.5496011251862539066107336526262783112098e8) }}, 
+      {{ SC_(0.51e2), SC_(0.316179637908935546875e2), SC_(-0.1389344839181512847834347831384757681674e6) }}, 
+      {{ SC_(0.51e2), SC_(0.4073618316650390625e2), SC_(-0.1776984353347768195784367735005036727279e2) }}, 
+      {{ SC_(0.51e2), SC_(0.4175042724609375e2), SC_(-0.872915584752688114103030525708943114106e1) }}, 
+      {{ SC_(0.51e2), SC_(0.452895965576171875e2), SC_(-0.1161540076556705952629084092382499590939e1) }}, 
+      {{ SC_(0.51e2), SC_(0.45668792724609375e2), SC_(-0.9803416521580276513923752432914532429705e0) }}, 
+      {{ SC_(0.51e2), SC_(0.48443389892578125e2), SC_(-0.3793943440135667994381484637963819220083e0) }}, 
+      {{ SC_(0.54e2), SC_(0.48770198822021484375e1), SC_(-0.1895955328653395662512658715131596618242e49) }}, 
+      {{ SC_(0.54e2), SC_(0.6349340915679931640625e1), SC_(-0.1332861075842053738784438239373281251896e43) }}, 
+      {{ SC_(0.54e2), SC_(0.677385044097900390625e1), SC_(-0.415400028628792112351061646920744162805e41) }}, 
+      {{ SC_(0.54e2), SC_(0.941909885406494140625e1), SC_(-0.9448773063492740921951882034107555889314e33) }}, 
+      {{ SC_(0.54e2), SC_(0.110517024993896484375e2), SC_(-0.1976226953367884232990383015948873832395e30) }}, 
+      {{ SC_(0.54e2), SC_(0.139249114990234375e2), SC_(-0.1060239929445304895052402195312333832751e25) }}, 
+      {{ SC_(0.54e2), SC_(0.15408351898193359375e2), SC_(-0.5524852310470588596167631811840899911653e22) }}, 
+      {{ SC_(0.54e2), SC_(0.27344074249267578125e2), SC_(-0.2443271932118273203257306735627770090503e10) }}, 
+      {{ SC_(0.54e2), SC_(0.273610286712646484375e2), SC_(-0.2374028629035348856642105835047755802793e10) }}, 
+      {{ SC_(0.54e2), SC_(0.316179637908935546875e2), SC_(-0.3530147161153490224199678627355098967203e7) }}, 
+      {{ SC_(0.54e2), SC_(0.4073618316650390625e2), SC_(-0.1523687692433405507809303644341462788826e3) }}, 
+      {{ SC_(0.54e2), SC_(0.4175042724609375e2), SC_(-0.6588811991238001972711661692129876612553e2) }}, 
+      {{ SC_(0.54e2), SC_(0.452895965576171875e2), SC_(-0.5340581063654305505018449302519149157836e1) }}, 
+      {{ SC_(0.54e2), SC_(0.45668792724609375e2), SC_(-0.4241843123154779988294497423588841413993e1) }}, 
+      {{ SC_(0.54e2), SC_(0.48443389892578125e2), SC_(-0.101007717644958422192422706197265435244e1) }}, 
+      {{ SC_(0.57e2), SC_(0.48770198822021484375e1), SC_(-0.2161626205739229156929028218866774547264e53) }}, 
+      {{ SC_(0.57e2), SC_(0.6349340915679931640625e1), SC_(-0.6857816478363427954638793152049033022474e46) }}, 
+      {{ SC_(0.57e2), SC_(0.677385044097900390625e1), SC_(-0.1757633522876923346308719323318346692964e45) }}, 
+      {{ SC_(0.57e2), SC_(0.941909885406494140625e1), SC_(-0.1470724735456049669352892370483504273101e37) }}, 
+      {{ SC_(0.57e2), SC_(0.110517024993896484375e2), SC_(-0.1887826470413712223495666019943375481003e33) }}, 
+      {{ SC_(0.57e2), SC_(0.139249114990234375e2), SC_(-0.4968500213339560352225854720671631559582e27) }}, 
+      {{ SC_(0.57e2), SC_(0.15408351898193359375e2), SC_(-0.1888817184319266555840067091337856309212e25) }}, 
+      {{ SC_(0.57e2), SC_(0.27344074249267578125e2), SC_(-0.1288212844049340614131327714502525981742e12) }}, 
+      {{ SC_(0.57e2), SC_(0.273610286712646484375e2), SC_(-0.1249013008694464348198848991016934457599e12) }}, 
+      {{ SC_(0.57e2), SC_(0.316179637908935546875e2), SC_(-0.1107695891983348156343774480706314333398e9) }}, 
+      {{ SC_(0.57e2), SC_(0.4073618316650390625e2), SC_(-0.1713142312580323786184747142248961806243e4) }}, 
+      {{ SC_(0.57e2), SC_(0.4175042724609375e2), SC_(-0.6604590530228345805227426149899214659609e3) }}, 
+      {{ SC_(0.57e2), SC_(0.452895965576171875e2), SC_(-0.3518710444917558080090981427376821716428e2) }}, 
+      {{ SC_(0.57e2), SC_(0.45668792724609375e2), SC_(-0.2663864616630346108683365093711526997299e2) }}, 
+      {{ SC_(0.57e2), SC_(0.48443389892578125e2), SC_(-0.4306298772312023516324511417973550342892e1) }}, 
+      {{ SC_(0.6e2), SC_(0.48770198822021484375e1), SC_(-0.2892081353968073031088937298478587490074e57) }}, 
+      {{ SC_(0.6e2), SC_(0.6349340915679931640625e1), SC_(-0.4142396646874563143741981167064851524547e50) }}, 
+      {{ SC_(0.6e2), SC_(0.677385044097900390625e1), SC_(-0.8732096096999191430049139445386679139699e48) }}, 
+      {{ SC_(0.6e2), SC_(0.941909885406494140625e1), SC_(-0.2690978379323628746253084206502905589883e40) }}, 
+      {{ SC_(0.6e2), SC_(0.110517024993896484375e2), SC_(-0.2121795509181260451828069876653538790412e36) }}, 
+      {{ SC_(0.6e2), SC_(0.139249114990234375e2), SC_(-0.2744926792364829807723799177062944239004e30) }}, 
+      {{ SC_(0.6e2), SC_(0.15408351898193359375e2), SC_(-0.76223015502590825948030726266442383048e27) }}, 
+      {{ SC_(0.6e2), SC_(0.27344074249267578125e2), SC_(-0.8156824115957781369979544049155027772995e13) }}, 
+      {{ SC_(0.6e2), SC_(0.273610286712646484375e2), SC_(-0.7891899080153060843746196671232001179968e13) }}, 
+      {{ SC_(0.6e2), SC_(0.316179637908935546875e2), SC_(-0.4219761955150242610522454447404911542549e10) }}, 
+      {{ SC_(0.6e2), SC_(0.4073618316650390625e2), SC_(-0.2439731391973693955896903470108472114229e5) }}, 
+      {{ SC_(0.6e2), SC_(0.4175042724609375e2), SC_(-0.8451812456206044962273070236632882957476e4) }}, 
+      {{ SC_(0.6e2), SC_(0.452895965576171875e2), SC_(-0.3079126889383895719027479423955437627905e3) }}, 
+      {{ SC_(0.6e2), SC_(0.45668792724609375e2), SC_(-0.2235394837400507231196792387743951216596e3) }}, 
+      {{ SC_(0.6e2), SC_(0.48443389892578125e2), SC_(-0.2621645109951344510244589118146666833865e2) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_yn_prime_data.ipp b/src/boost/libs/math/test/bessel_yn_prime_data.ipp
new file mode 100644
index 000000000..4813d638d
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yn_prime_data.ipp
@@ -0,0 +1,607 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 600> bessel_yn_prime_data = {{
+      {{ SC_(0.3e1), SC_(0.48770198822021484375e1), SC_(0.29708501519972432874442609586225264980095279453487) }}, 
+      {{ SC_(0.3e1), SC_(0.6349340915679931640625e1), SC_(-0.024696224449710501462629183400498863527821680586339) }}, 
+      {{ SC_(0.3e1), SC_(0.677385044097900390625e1), SC_(-0.12798507472726383423677638554544275695549764510857) }}, 
+      {{ SC_(0.3e1), SC_(0.941909885406494140625e1), SC_(-0.066243410280370717974722487510346861657499475038741) }}, 
+      {{ SC_(0.3e1), SC_(0.110517024993896484375e2), SC_(0.226607890873068245856076342155101398787735861242) }}, 
+      {{ SC_(0.3e1), SC_(0.139249114990234375e2), SC_(-0.16908066477267740036269004386737437374794296404405) }}, 
+      {{ SC_(0.3e1), SC_(0.15408351898193359375e2), SC_(-0.13976426541284708799365090012038551369276059918868) }}, 
+      {{ SC_(0.3e1), SC_(0.27344074249267578125e2), SC_(-0.15207581571297747888485333231283834140497308882491) }}, 
+      {{ SC_(0.3e1), SC_(0.273610286712646484375e2), SC_(-0.1519210870018680635152610713224897498465625949351) }}, 
+      {{ SC_(0.3e1), SC_(0.316179637908935546875e2), SC_(0.058893765330339857551348010302889764995824335479609) }}, 
+      {{ SC_(0.3e1), SC_(0.4073618316650390625e2), SC_(-0.086928837303893143739085237037569616565662316714289) }}, 
+      {{ SC_(0.3e1), SC_(0.4175042724609375e2), SC_(0.029460629746888191941408408724635198680955117891972) }}, 
+      {{ SC_(0.3e1), SC_(0.452895965576171875e2), SC_(-0.069743098494712237418038425487225304207814963137718) }}, 
+      {{ SC_(0.3e1), SC_(0.45668792724609375e2), SC_(-0.099753925115669157739460992128310295715307292065023) }}, 
+      {{ SC_(0.3e1), SC_(0.48443389892578125e2), SC_(0.067921667703473489237190498102371805460687285783656) }}, 
+      {{ SC_(0.6e1), SC_(0.48770198822021484375e1), SC_(0.45878765063410398195047514022117535600745456721048) }}, 
+      {{ SC_(0.6e1), SC_(0.6349340915679931640625e1), SC_(0.22418218548331346668384601887950338231581017161593) }}, 
+      {{ SC_(0.6e1), SC_(0.677385044097900390625e1), SC_(0.22992537405176115753077734977154877584133523714429) }}, 
+      {{ SC_(0.6e1), SC_(0.941909885406494140625e1), SC_(0.068812728738758316426265590204315461639641314948809) }}, 
+      {{ SC_(0.6e1), SC_(0.110517024993896484375e2), SC_(-0.18560793859647973014977642931143089163783816925647) }}, 
+      {{ SC_(0.6e1), SC_(0.139249114990234375e2), SC_(0.070000798608673213299405628661755953528613026320459) }}, 
+      {{ SC_(0.6e1), SC_(0.15408351898193359375e2), SC_(0.19376241684387105036773317228980711041507362506569) }}, 
+      {{ SC_(0.6e1), SC_(0.27344074249267578125e2), SC_(0.076304221116947638013945583135805169200458199883397) }}, 
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+      {{ SC_(-0.6e2), SC_(0.48770198822021484375e1), SC_(3.5460365231745721606669570215996512793241495164453e+57) }}, 
+      {{ SC_(-0.6e2), SC_(0.6349340915679931640625e1), SC_(3.8921264262571733782239747560313526684108210623487e+50) }}, 
+      {{ SC_(-0.6e2), SC_(0.677385044097900390625e1), SC_(7684237767558382594304235657570772453674248757118.3) }}, 
+      {{ SC_(-0.6e2), SC_(0.941909885406494140625e1), SC_(16925416951539066399686670852829412815863.412431411) }}, 
+      {{ SC_(-0.6e2), SC_(0.110517024993896484375e2), SC_(1131875640030290021946077924988533695.7888332928356) }}, 
+      {{ SC_(-0.6e2), SC_(0.139249114990234375e2), SC_(1149875928909540701676477111822.3170039080211561671) }}, 
+      {{ SC_(-0.6e2), SC_(0.15408351898193359375e2), SC_(2866796552399774210995844116.7096924369139910645819) }}, 
+      {{ SC_(-0.6e2), SC_(0.27344074249267578125e2), SC_(15891355189739.495516567349164999419111229531478334) }}, 
+      {{ SC_(-0.6e2), SC_(0.273610286712646484375e2), SC_(15363127336068.368075911095109876542431338831991157) }}, 
+      {{ SC_(-0.6e2), SC_(0.316179637908935546875e2), SC_(6779161464.8028951527640884369288557214558713468535) }}, 
+      {{ SC_(-0.6e2), SC_(0.4073618316650390625e2), SC_(26113.831472455968890083544404266110113626724773258) }}, 
+      {{ SC_(-0.6e2), SC_(0.4175042724609375e2), SC_(8623.033736775565340846565423848796418156287767396) }}, 
+      {{ SC_(-0.6e2), SC_(0.452895965576171875e2), SC_(262.71208466116252796487792402891053270786603888051) }}, 
+      {{ SC_(-0.6e2), SC_(0.45668792724609375e2), SC_(186.83227369709377348524356398249111029234112960347) }}, 
+      {{ SC_(-0.6e2), SC_(0.48443389892578125e2), SC_(18.589647091617037033086402220922012445990916760661) }},
+   }};
diff --git a/src/boost/libs/math/test/bessel_yv_data.ipp b/src/boost/libs/math/test/bessel_yv_data.ipp
new file mode 100644
index 000000000..83f30d2dc
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yv_data.ipp
@@ -0,0 +1,441 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 432> bessel_yv_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.177219114266335964202880859375e-2), SC_(-0.4109981080896677237358777348659577384814e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.22177286446094512939453125e-2), SC_(-0.3967198166482792888587309535339999462266e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.7444499991834163665771484375e-2), SC_(-0.3196174808457488271204616814902805588745e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1433600485324859619140625e-1), SC_(-0.277886401743182085883175930163269197664e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1760916970670223236083984375e-1), SC_(-0.2647863781670063492437517931273354439201e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6152711808681488037109375e-1), SC_(-0.1849304044017019356004789772749790770502e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.11958599090576171875e0), SC_(-0.1421209575863162389893134075657579819718e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.15262925624847412109375e0), SC_(-0.1262161021028632624881669027784829995884e1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.408089816570281982421875e0), SC_(-0.5944072046497630295250342068284430797962e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6540834903717041015625e0), SC_(-0.2453277969150709954915717817184428440924e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1097540378570556640625e1), SC_(0.1584374949163769422822208482661516201397e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.30944411754608154296875e1), SC_(0.3458497563774182491234075001630772667854e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.51139926910400390625e1), SC_(-0.3227704013798722509157489558679982720248e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.95070552825927734375e1), SC_(0.1703157314350648605712543095319781057303e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.24750102996826171875e2), SC_(-0.1480199026826370992952794039024870144586e0) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.637722015380859375e2), SC_(0.1495108590261458231741268546248788758226e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1252804412841796875e3), SC_(-0.6570327554025865783732578959902760519929e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.25554705810546875e3), SC_(-0.1424286729418854798832322396053032304441e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.503011474609375e3), SC_(-0.1488793551072535726513345519376745937703e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.10074598388671875e4), SC_(0.2459116676878273669207049701272585713077e-1) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1185395751953125e4), SC_(-0.5216296486026963890192536381882756251574e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.353451806640625e4), SC_(0.7150321510933910509861478052167676486744e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.80715478515625e4), SC_(-0.7217584852080900819222715241239866307669e-4) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1622925e5), SC_(-0.5289900963274037297853946955886625205773e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3206622265625e5), SC_(0.3201736535368103742253839832309804984043e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3636794921875e5), SC_(0.3530160743525716867126510667470988391367e-3) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.177219114266335964202880859375e-2), SC_(-0.4110719287432131383209663091223613660449e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.22177286446094512939453125e-2), SC_(-0.3967931677865958623227899442296989234961e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.7444499991834163665771484375e-2), SC_(-0.3196888768021427112833222816547069531807e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1433600485324859619140625e-1), SC_(-0.2779570979763027030915138623734707116309e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1760916970670223236083984375e-1), SC_(-0.2648568990595505812071805953119049709201e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6152711808681488037109375e-1), SC_(-0.185000202041826350471111738892195254951e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.11958599090576171875e0), SC_(-0.1421904434134942202214431845401629010964e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.15262925624847412109375e0), SC_(-0.1262854140408887233259773811621052871948e1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.408089816570281982421875e0), SC_(-0.5950761265617472237995217111777038762135e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6540834903717041015625e0), SC_(-0.2459534859171060177043599079460653627876e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1097540378570556640625e1), SC_(0.1579332201794321120135728809601595120035e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.30944411754608154296875e1), SC_(0.3460521593933925495064774929401352783066e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.51139926910400390625e1), SC_(-0.3226720162699480428923607985495542415611e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.95070552825927734375e1), SC_(0.1704518545616096824583473906088353974798e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.24750102996826171875e2), SC_(-0.1480630443547165728353407967940434766385e0) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.637722015380859375e2), SC_(0.1488194766429228836377915641199018452658e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1252804412841796875e3), SC_(-0.6572261100873119967302664606455129430061e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.25554705810546875e3), SC_(-0.142093855992607823112630880080107228544e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.503011474609375e3), SC_(-0.1491054423538811528779378781658535282739e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.10074598388671875e4), SC_(0.2458751210966411371396701227739563430579e-1) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1185395751953125e4), SC_(-0.5200492855806017431912763481277953331404e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.353451806640625e4), SC_(0.7158268136941132273892772334045520934666e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.80715478515625e4), SC_(-0.6596068471414521611228855010215014704418e-4) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1622925e5), SC_(-0.5292246367479866864908050314944924753669e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.3206622265625e5), SC_(0.320390439737211080762980520435506250823e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.3636794921875e5), SC_(0.3500983370716348944297898811549471925567e-3) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.177219114266335964202880859375e-2), SC_(-0.4120027412731051041206450410057429639349e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.22177286446094512939453125e-2), SC_(-0.3977105851156557119151823261612798218773e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.7444499991834163665771484375e-2), SC_(-0.3205504928732404892476271281075272444522e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1433600485324859619140625e-1), SC_(-0.2787987583373352069958752481599007631499e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1760916970670223236083984375e-1), SC_(-0.2656935742898321978445839607405640033284e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.6152711808681488037109375e-1), SC_(-0.1858171712468613875843642326777393322995e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.11958599090576171875e0), SC_(-0.1430015519366236809172334709693214910441e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.15262925624847412109375e0), SC_(-0.1270941805522165919290496753078963837638e1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.408089816570281982421875e0), SC_(-0.6028887952741650472210391450598434501064e0) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.6540834903717041015625e0), SC_(-0.253272254375116720240110301955438274904e0) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1097540378570556640625e1), SC_(0.1520201824220985075413827678589759450294e0) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.30944411754608154296875e1), SC_(0.3484128787584500743767953634177680046837e0) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.51139926910400390625e1), SC_(-0.3215065328791237601271218312483710525199e0) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.95070552825927734375e1), SC_(0.1720422311734142500970235815393168124624e0) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.24750102996826171875e2), SC_(-0.1485637008291705383805876287336390101122e0) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.637722015380859375e2), SC_(0.1407034822297315991341655297564501076178e-1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1252804412841796875e3), SC_(-0.6594703326047541907061713679421759907013e-1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.25554705810546875e3), SC_(-0.1381608643410309470753787566141410262816e-1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.503011474609375e3), SC_(-0.151752265807192360259537475829210125324e-1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.10074598388671875e4), SC_(0.2454373914040585157738066701355246448403e-1) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1185395751953125e4), SC_(-0.5014906543268439324794963661123810184093e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.353451806640625e4), SC_(0.7251230144724707071573863762664925369871e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.80715478515625e4), SC_(0.6953369197393758981781818649242121542468e-5) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.1622925e5), SC_(-0.5319567322960577952508664100308821679854e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.3206622265625e5), SC_(0.3229218945935765810090443669915499659257e-2) }}, 
+      {{ SC_(0.7444499991834163665771484375e-2), SC_(0.3636794921875e5), SC_(0.3158568198916460292543522938944683153232e-3) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.177219114266335964202880859375e-2), SC_(-0.4134159952672901498743626308790551330992e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.22177286446094512939453125e-2), SC_(-0.3990837132176071416552743859631846467869e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.7444499991834163665771484375e-2), SC_(-0.3217563179354922543332500792794151411069e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1433600485324859619140625e-1), SC_(-0.2799446740519488969651219625146622998737e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1760916970670223236083984375e-1), SC_(-0.2668245252505030375352857746281865483493e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.6152711808681488037109375e-1), SC_(-0.186889810951487968438608309966422611667e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.11958599090576171875e0), SC_(-0.1440599803781774335574526240384283073629e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.15262925624847412109375e0), SC_(-0.1281485849537878284125998432302154093319e1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.408089816570281982421875e0), SC_(-0.6130927188528948957629699386553428087544e0) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.6540834903717041015625e0), SC_(-0.2628616657161443753490102972580233083382e0) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1097540378570556640625e1), SC_(0.1442321647711284365164473485125952896532e0) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.30944411754608154296875e1), SC_(0.3514866696796145177802316946038001144499e0) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.51139926910400390625e1), SC_(-0.3199381849177278131427345797992957474537e0) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.95070552825927734375e1), SC_(0.1741206187508240360674576027852156076872e0) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.24750102996826171875e2), SC_(-0.1492084150385547414276112923072727245566e0) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.637722015380859375e2), SC_(0.1299887757401767858160759862904849183224e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1252804412841796875e3), SC_(-0.6623612901898277817530531932876652691197e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.25554705810546875e3), SC_(-0.1329610971315120839879080119446416949079e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.503011474609375e3), SC_(-0.1552264157837515558947215728593300366424e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.10074598388671875e4), SC_(0.2448349643616932259319127554623091231607e-1) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1185395751953125e4), SC_(-0.47696968979306790828599052079788410586e-2) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.353451806640625e4), SC_(0.7373052438334910802888978807399790026358e-2) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.80715478515625e4), SC_(0.103089084794957453201580199017916172336e-3) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.1622925e5), SC_(-0.5355041661602504411571715046096891970658e-2) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.3206622265625e5), SC_(0.3262263227226572779950829863684658963946e-2) }}, 
+      {{ SC_(0.1433600485324859619140625e-1), SC_(0.3636794921875e5), SC_(0.2706771716021933545864407071325455578847e-3) }}, 
+      {{ SC_(0.1760916970670223236083984375e-1), SC_(0.177219114266335964202880859375e-2), SC_(-0.414163021695610839626594818544969888135e1) }}, 
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+      {{ SC_(0.95070552825927734375e1), SC_(0.1252804412841796875e3), SC_(0.2459323267268387590656935772173305995007e-2) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.25554705810546875e3), SC_(0.4727621388677414365424200901932102781138e-1) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.503011474609375e3), SC_(-0.1499853482621027133664160846069426563295e-1) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.10074598388671875e4), SC_(-0.2056061337856806920336623108105325621513e-1) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.1185395751953125e4), SC_(0.200124531064386856030146552792672982826e-1) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.353451806640625e4), SC_(0.3033471650974938272104310339983302036505e-2) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.80715478515625e4), SC_(0.6313804457726326168433814890910007150901e-2) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.1622925e5), SC_(0.1403165866529678983739736802708333117488e-2) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.3206622265625e5), SC_(-0.1035230096656936586615653548264063815176e-3) }}, 
+      {{ SC_(0.95070552825927734375e1), SC_(0.3636794921875e5), SC_(-0.3178411510645339458375062818266053238935e-2) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.1097540378570556640625e1), SC_(-0.2538488265063196712152114613748075086351e30) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.30944411754608154296875e1), SC_(-0.2001658856691900027586107047291395903374e19) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.51139926910400390625e1), SC_(-0.9503574259305993133759318213869719739108e13) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.95070552825927734375e1), SC_(-0.4122129578428727018796511082180354925791e7) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.24750102996826171875e2), SC_(-0.2658990584952737858668063924548287218421e0) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.637722015380859375e2), SC_(-0.6691180036576346233956293507614315544893e-1) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.1252804412841796875e3), SC_(0.7533197321533906425069813365786808047345e-2) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.25554705810546875e3), SC_(-0.1542283080029640948900332378050454496484e-1) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.503011474609375e3), SC_(-0.2991988069469062154012100511573471727669e-1) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.10074598388671875e4), SC_(0.1184200276216747266219053634744663039601e-1) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.1185395751953125e4), SC_(0.147538779157775165689894252998980132164e-1) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.353451806640625e4), SC_(0.1337803088680303126911599983254711741179e-1) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.80715478515625e4), SC_(0.8029832288031143409523993739201196219101e-2) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.1622925e5), SC_(-0.5198547432330736842863301364433701996388e-2) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.3206622265625e5), SC_(0.4109381361370256630410240644020816524515e-2) }}, 
+      {{ SC_(0.24750102996826171875e2), SC_(0.3636794921875e5), SC_(-0.3695089835104638523036034542189491664868e-2) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.24750102996826171875e2), SC_(-0.6267975543587496709349337927794592271998e18) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.637722015380859375e2), SC_(-0.1939298752945934292999130903839341072815e0) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.1252804412841796875e3), SC_(-0.7053508497894543897551296718023593343408e-2) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.25554705810546875e3), SC_(-0.3550962870822991127395561395887028412934e-1) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.503011474609375e3), SC_(-0.2648416216528672574838824635772159441549e-1) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.10074598388671875e4), SC_(-0.1420732900757196265534805768438896498951e-1) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.1185395751953125e4), SC_(-0.1724003388206597138922485614964423834268e-1) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.353451806640625e4), SC_(-0.4904153149047725659903093785508227452329e-2) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.80715478515625e4), SC_(-0.5165055881176750174649276537848635493731e-2) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.1622925e5), SC_(-0.3111673836710409913488025509896936578918e-2) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.3206622265625e5), SC_(0.1643282532322944952844854407146135350371e-2) }}, 
+      {{ SC_(0.637722015380859375e2), SC_(0.3636794921875e5), SC_(0.2009528090577840712976850241949224122986e-2) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.637722015380859375e2), SC_(-0.3797174624982978861579399751499143354312e23) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.1252804412841796875e3), SC_(-0.154839290844967491628030470782884890493e0) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.25554705810546875e3), SC_(0.5249253389690028543295568223911202330116e-1) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.503011474609375e3), SC_(0.2263770495318548220431423611155582287596e-1) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.10074598388671875e4), SC_(0.1928421153706604388682313816599232350549e-1) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.1185395751953125e4), SC_(0.2303577167941297280388538081309628427215e-1) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.353451806640625e4), SC_(0.4602232701140352366182281154234657598423e-2) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.80715478515625e4), SC_(0.7605554856039814835669547074154003071661e-2) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.1622925e5), SC_(-0.3591967493051195246860689634970817279493e-2) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.3206622265625e5), SC_(0.2427101323753481633835014493220406978017e-2) }}, 
+      {{ SC_(0.1252804412841796875e3), SC_(0.3636794921875e5), SC_(-0.4144432737996561571547765270607343786669e-2) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.25554705810546875e3), SC_(-0.1220899231301180796588329975642599451792e0) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.503011474609375e3), SC_(-0.2587460388550158251245313556927425626503e-1) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.10074598388671875e4), SC_(-0.2709588740650161660564368137667279157517e-2) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.1185395751953125e4), SC_(0.7388450600504248491679263004388188205535e-2) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.353451806640625e4), SC_(-0.4070364240355399016905231104224278184321e-3) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.80715478515625e4), SC_(0.8869456474018290057215067339235844280777e-2) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.1622925e5), SC_(0.6193548860770801980645313593061881324053e-2) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.3206622265625e5), SC_(-0.3573956395914134221575915050921377055356e-2) }}, 
+      {{ SC_(0.25554705810546875e3), SC_(0.3636794921875e5), SC_(0.4150896139122617211447974747314758032795e-2) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.503011474609375e3), SC_(-0.9741864482364844408259833924093581326514e-1) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.10074598388671875e4), SC_(-0.1584672339561671902535695362033324616336e-1) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.1185395751953125e4), SC_(0.5943568069873248119538400255697357733917e-2) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.353451806640625e4), SC_(0.1015104946539387860338179999806441182473e-1) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.80715478515625e4), SC_(0.8883753528547744135823658482106607009966e-2) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.1622925e5), SC_(0.5522874844418632574706826538336184699582e-2) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.3206622265625e5), SC_(0.4455587256750903432452764772837804809816e-2) }}, 
+      {{ SC_(0.503011474609375e3), SC_(0.3636794921875e5), SC_(-0.3843435197254867050137588280055312232508e-2) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.10074598388671875e4), SC_(-0.7728430027806412142852417589285707550701e-1) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.1185395751953125e4), SC_(0.3043120394295723532238172036669867077737e-1) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.353451806640625e4), SC_(-0.4742168167846528568912593945029413563666e-2) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.80715478515625e4), SC_(-0.7420503792165366240145846571768477365506e-2) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.1622925e5), SC_(-0.1795717524473915811452628563407404683787e-2) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.3206622265625e5), SC_(0.7500534979641494608228235889183901707366e-3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.3636794921875e5), SC_(0.3051253358553692403837737104117441878866e-2) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.10074598388671875e4), SC_(-0.7251757054382535422878260094266093685031e29) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.1185395751953125e4), SC_(-0.7320587935179758776740758943706909907242e-1) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.353451806640625e4), SC_(0.4795852538068195975343600795948509285902e-3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.80715478515625e4), SC_(0.1749093092873678394701882014413670671251e-2) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.1622925e5), SC_(0.4162877531169379039027191426399181611799e-2) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.3206622265625e5), SC_(-0.3200560495047506921416083730251596135541e-3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.3636794921875e5), SC_(-0.4176563093033758974497368789398642132897e-2) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/bessel_yv_prime_data.ipp b/src/boost/libs/math/test/bessel_yv_prime_data.ipp
new file mode 100644
index 000000000..64097cc90
--- /dev/null
+++ b/src/boost/libs/math/test/bessel_yv_prime_data.ipp
@@ -0,0 +1,871 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 864> bessel_yv_prime_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.177219114266335964202880859375e-2), SC_(359.25306691468182462382237111287002162553866747579) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.22177286446094512939453125e-2), SC_(287.08013716324049922227602244564319388641879278396) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.7444499991834163665771484375e-2), SC_(85.531475792801076416765903757627138355150815768381) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1433600485324859619140625e-1), SC_(44.43035679632993650721736060153716759038322379723) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1760916970670223236083984375e-1), SC_(36.179654804596195073472668375517619276826453027816) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6152711808681488037109375e-1), SC_(10.413780184730641117297885590055203070917628378544) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.11958599090576171875e0), SC_(5.4277607095532821471185956360419186047556753959012) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.15262925624847412109375e0), SC_(4.2920266800823007910164892097244973768547846351371) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.408089816570281982421875e0), SC_(1.7509153497269689499030148640443708410615525473524) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6540834903717041015625e0), SC_(1.1712794472938520666850107533401801762567425673398) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1097540378570556640625e1), SC_(0.70138648105516834583393514421333924350925740962504) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.30944411754608154296875e1), SC_(-0.34749828407729174130100909185824276870624530573172) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.51139926910400390625e1), SC_(-0.10986116293007483043606802975095346477573689745585) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.95070552825927734375e1), SC_(-0.20378601019764953872142029007731936626447427024392) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.24750102996826171875e2), SC_(0.064700725186337701986731085937025374356981361835941) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.637722015380859375e2), SC_(0.098672834379112400010944568868782489693261838065595) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1252804412841796875e3), SC_(0.027913781978643615009047750009636168838479193347638) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.25554705810546875e3), SC_(-0.04780881743198587298231695276364404056179232533175) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.503011474609375e3), SC_(0.032325270488727463019860406722316462375064083905752) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.10074598388671875e4), SC_(0.0052012686169753781931485875545710147005519624143894) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1185395751953125e4), SC_(-0.022577498856801507605595835038635382331015497697766) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.353451806640625e4), SC_(-0.011358296273412421720490300072404002932735855560398) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.80715478515625e4), SC_(-0.0088806977171749850238952666167111790987748939321371) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.1622925e5), SC_(0.00335331650999886871984157216400084691169190356345) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3206622265625e5), SC_(-0.0030987860388094542027981684852371310749661034262822) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.3636794921875e5), SC_(0.0041689695099571798078503972547393292264317537185944) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.177219114266335964202880859375e-2), SC_(359.26533728538776366509474053133533307586229635913) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.22177286446094512939453125e-2), SC_(287.08921637154798496281292076850380987394085518871) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.7444499991834163665771484375e-2), SC_(85.533146645088550608502277739916424359004343336472) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1433600485324859619140625e-1), SC_(44.43098524576237653184367498965422147553862710847) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1760916970670223236083984375e-1), SC_(36.180112164703042011439433637606469649465975324508) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6152711808681488037109375e-1), SC_(10.413849488813765046067013925290595202964441035058) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.11958599090576171875e0), SC_(5.4278107962203418944781035199372633462886191141604) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.15262925624847412109375e0), SC_(4.2920825538295737959088050162943746783032954850028) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.408089816570281982421875e0), SC_(1.7510517471771296869441766472247915798444928092357) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.6540834903717041015625e0), SC_(1.1714932778725264264492038485427581871125406753861) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1097540378570556640625e1), SC_(0.70171347129696306321421648791219764087618145201066) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.30944411754608154296875e1), SC_(-0.34728549175374248702810137805247545330678632309601) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.51139926910400390625e1), SC_(-0.11009752053125087496840861386621624153790113475449) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.95070552825927734375e1), SC_(-0.20367376011493060664075031914622840182372793862664) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.24750102996826171875e2), SC_(0.064597973933861490895674774983095378504990464398256) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.637722015380859375e2), SC_(0.098683815824621789326075155716559154126027874873011) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.1252804412841796875e3), SC_(0.027867870127454387792608895641557952520679288199781) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.25554705810546875e3), SC_(-0.047818839046928044568149355329247460363523211579449) }}, 
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+      {{ SC_(-0.51139926910400390625e1), SC_(0.353451806640625e4), SC_(-0.0049306359803731045352113540025581730711413092634329) }}, 
+      {{ SC_(-0.51139926910400390625e1), SC_(0.80715478515625e4), SC_(0.0016916612668700076087575312681799510507952321176178) }}, 
+      {{ SC_(-0.51139926910400390625e1), SC_(0.1622925e5), SC_(0.0045927277943926769584157043642003010426856921426988) }}, 
+      {{ SC_(-0.51139926910400390625e1), SC_(0.3206622265625e5), SC_(-0.002587027449607730431564371556642354886807312433012) }}, 
+      {{ SC_(-0.51139926910400390625e1), SC_(0.3636794921875e5), SC_(-0.0011026302313789562142562017092977066887938558290485) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.7444499991834163665771484375e-2), SC_(135682601867412602841201330873.75718166853091681263) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.1433600485324859619140625e-1), SC_(138769951363958034085758685.27213034328405718252117) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.1760916970670223236083984375e-1), SC_(15992030576158256918681785.781264646844955179411953) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.6152711808681488037109375e-1), SC_(31272637864980450969.477067090227233607416914800128) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.11958599090576171875e0), SC_(29026190299466825.478740059843997083443769879955458) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.15262925624847412109375e0), SC_(2236554958379870.5390586121842932402591619734406487) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.408089816570281982421875e0), SC_(72991315852.818526598500820999895280048680673698554) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.6540834903717041015625e0), SC_(516710031.1139502164405977913256636071505769421806) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.1097540378570556640625e1), SC_(2286809.7256732380114803720809497779309874729809509) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.30944411754608154296875e1), SC_(51.787413887502021821993382769196320223010933541336) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.51139926910400390625e1), SC_(0.38428403156032438754606601710261851336703009220869) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.95070552825927734375e1), SC_(-0.083408430729217439908554930611117595772954440612026) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.24750102996826171875e2), SC_(-0.15377056099662549274966865873362815231919709139147) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.637722015380859375e2), SC_(-0.098895016463333905076286264733568182187133360232961) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.1252804412841796875e3), SC_(0.00058843259092942399714403630088870115701774575915117) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.25554705810546875e3), SC_(0.047617041465277373764662672292291359611340560712828) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.503011474609375e3), SC_(-0.015738834981652123876831990900249723632354883827403) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.10074598388671875e4), SC_(-0.020226704880645480514464054523051326431570658658102) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.1185395751953125e4), SC_(0.020270634105326650795101629110145519032181458384458) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.353451806640625e4), SC_(0.0033242998134934382898150078049467075957574843247214) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.80715478515625e4), SC_(0.0064510494250325005180436602704881786281515797092011) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.1622925e5), SC_(0.0012673508202080860519717467052694143794136856732047) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.3206622265625e5), SC_(-4.7029903783527169469935056752767141743335143179281e-06) }}, 
+      {{ SC_(-0.95070552825927734375e1), SC_(0.3636794921875e5), SC_(-0.0032379678893095256013860413353047782240811917126882) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.1097540378570556640625e1), SC_(-4044936214810011734586457560485.0402321976700478778) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.30944411754608154296875e1), SC_(-11231623976244934832.842042565222515224317423783235) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.51139926910400390625e1), SC_(-31800675532452.142920849818387682401747726375697492) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.95070552825927734375e1), SC_(-6980238.4634442579100267772514665862965992934890797) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.24750102996826171875e2), SC_(-0.027468190501339713583540312783564971313120900350823) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.637722015380859375e2), SC_(0.095644265554053580415773788463005988943081267195329) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.1252804412841796875e3), SC_(-0.055057555525499643764644734873275212200592589253845) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.25554705810546875e3), SC_(0.044401817698862450558820400668208534464946165436997) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.503011474609375e3), SC_(0.0074642328066488539114929577161285856759350095623202) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.10074598388671875e4), SC_(-0.024054503271907318284232697414888321503567745481546) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.1185395751953125e4), SC_(0.0022232306593505723003473007040971439402941783639994) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.353451806640625e4), SC_(-0.010212933027532137699552366415374324125654017299881) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.80715478515625e4), SC_(-0.0029919660686523849430487759086106791540404340466572) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.1622925e5), SC_(0.0061454974098145064990841305379897407652746155974575) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.3206622265625e5), SC_(-0.004123038408727692995462129904507914931818874296158) }}, 
+      {{ SC_(-0.24750102996826171875e2), SC_(0.3636794921875e5), SC_(0.001223798459742576052654700614173717144996996668567) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.24750102996826171875e2), SC_(1121547269545524264.1019071139717894324990909433008) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.637722015380859375e2), SC_(0.017445962592616238218316912710931664585543168317819) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.1252804412841796875e3), SC_(-0.053925914217666550924174454968636545587882170986429) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.25554705810546875e3), SC_(0.0040113509336056070148691667126814340248353321014897) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.503011474609375e3), SC_(-0.035174434903250011671768178834872064287806596218907) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.10074598388671875e4), SC_(-0.024946109956172009621827009993565354998098170097575) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.1185395751953125e4), SC_(0.0004040727865427020824432966608094865007837119611164) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.353451806640625e4), SC_(-0.012644847274498598390174769743409301184069275361352) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.80715478515625e4), SC_(-0.008840876881136097560710595328175280582513640919681) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.1622925e5), SC_(0.0020605516525085933298542819924113644830584163178652) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.3206622265625e5), SC_(-0.0020474238830315961535817479237493471602638459906496) }}, 
+      {{ SC_(-0.637722015380859375e2), SC_(0.3636794921875e5), SC_(0.0040878844500492049071231293457142270040757414802682) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.637722015380859375e2), SC_(-40791749865962498889641.758772335484825772334862991) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.1252804412841796875e3), SC_(-0.030791942637606724285634132364607907275069801742772) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.25554705810546875e3), SC_(0.029776888363900201775599353374562772371667477615671) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.503011474609375e3), SC_(-0.00041911859652040121232208438061466873169957839316416) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.10074598388671875e4), SC_(0.0044947317007816697448072476126439120934982293558321) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.1185395751953125e4), SC_(0.019618666983233625702565262259622072894105876321234) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.353451806640625e4), SC_(0.011567245652513954110592408692491003647863135553801) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.80715478515625e4), SC_(0.0087846402008567790960595451907553929501383517940439) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.1622925e5), SC_(0.00049400635966328595904587210816203144904291004466221) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.3206622265625e5), SC_(-0.00050551211601910355104251597948766091859715808211562) }}, 
+      {{ SC_(-0.1252804412841796875e3), SC_(0.3636794921875e5), SC_(-0.0028321606224831051933457667753745150792068423483548) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.25554705810546875e3), SC_(-0.007419542876595943561206118102461931289478656159302) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.503011474609375e3), SC_(-0.025664328503457286010453238469575264308540938711427) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.10074598388671875e4), SC_(-0.0062267045060275015911110412975034627238501662223391) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.1185395751953125e4), SC_(0.010346705222465791342142235005234520413619356024001) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.353451806640625e4), SC_(0.0015737216406362832957218879171029808283573666980574) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.80715478515625e4), SC_(0.0086954178238511387130531805326295892103131424885212) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.1622925e5), SC_(0.0059876795114625188310669063203330715269983500547108) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.3206622265625e5), SC_(-0.0039268387046749594917957121763691644511316723630028) }}, 
+      {{ SC_(-0.25554705810546875e3), SC_(0.3636794921875e5), SC_(0.0040281937153398713181886730861253869188399153486897) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.503011474609375e3), SC_(-0.011515734275236820828668143441039134675933943442574) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.10074598388671875e4), SC_(-0.019439480098341800814673366562691832471213558168089) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.1185395751953125e4), SC_(-0.021174097195867643939757938843271904387325113584952) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.353451806640625e4), SC_(0.0091512905805963337437024280244577532614685720174285) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.80715478515625e4), SC_(-2.4852061600207231159879566155323077157410992369329e-06) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.1622925e5), SC_(0.0031527029965161190784335345322393725220820961636164) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.3206622265625e5), SC_(0.00010179108699906560722797843767392385793289055305172) }}, 
+      {{ SC_(-0.503011474609375e3), SC_(0.3636794921875e5), SC_(-0.0017910037003539369964017786582987701717040365613429) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.10074598388671875e4), SC_(-0.0049398782329717876592460550567673509553963200002479) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.1185395751953125e4), SC_(0.016539718467912811678329197894004476623857530631913) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.353451806640625e4), SC_(-0.0029600624556327821316398455606148101916160223845977) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.80715478515625e4), SC_(-0.0066872209878214813981572186345699700655450142149478) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.1622925e5), SC_(-0.0025322018148959744231881914267926504736624063470507) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.3206622265625e5), SC_(0.00019124192154585238406579711362378893608331179461156) }}, 
+      {{ SC_(-0.10074598388671875e4), SC_(0.3636794921875e5), SC_(0.0033860372778232452527323118178415916848865195274708) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.10074598388671875e4), SC_(-14433345412437616512607944029.072647289035551633298) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.1185395751953125e4), SC_(-0.0055141059821012780423227471142113884188743495547959) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.353451806640625e4), SC_(-0.0037578815752865130504932569553495448608719007660249) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.80715478515625e4), SC_(-0.0011475525169852833356693334344777583323934790794988) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.1622925e5), SC_(0.0054358529086944618531913092820724628012685794425012) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.3206622265625e5), SC_(0.001126223979426074413337753504813753247338856879985) }}, 
+      {{ SC_(-0.1185395751953125e4), SC_(0.3636794921875e5), SC_(-0.0038670666868434098582685598198227731719990621720596) }},
+   }};
diff --git a/src/boost/libs/math/test/beta_exp_data.ipp b/src/boost/libs/math/test/beta_exp_data.ipp
new file mode 100644
index 000000000..ce7825f1a
--- /dev/null
+++ b/src/boost/libs/math/test/beta_exp_data.ipp
@@ -0,0 +1,362 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 351> beta_exp_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1155631.551635027016649268884796909927277) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1039549.452063747329381617654200841254652) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.216575062950141727924346923828125e-5), SC_(923467.3524924676425690820378921903570447) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(715366.9882608199489156088500706918884474) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.216575062950141727924346923828125e-5), SC_(599284.8886895402674421924477675861806454) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.72700195232755504548549652099609375e-5), SC_(275102.4248866129549503632384850636365051) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(649244.3230419389091055494874477610228104) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.216575062950141727924346923828125e-5), SC_(533162.2234706592346717218748633348329255) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(208979.7596677320047637517666971035319141) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000004739500582218170166015625e-4), SC_(142857.0944488511634633414470885024340382) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(635967.2966761120408405544283252854891051) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(519885.1971048323697502064131013612391462) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(195702.7333019051790657557774869592595619) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(129580.0680830243894812627999923649303964) }}, 
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(116303.0417171976400618567245671670493297) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(594458.8435535046961781833034439822035691) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(478376.7439822250699480739314338811953296) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(154194.2801792984055346510144704788292969) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(88071.61496041830983457563965247905141874) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(74794.58859459188997822531683455967562115) }}, 
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.60085076256655156612396240234375e-4), SC_(33286.13547199056171829186221434157408122) }}, 
+      {{ SC_(0.000116783194243907928466796875), SC_(0.1730655412757187150418758392333984375e-5), SC_(586378.651529572636659503110266369369984) }}, 
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+      {{ SC_(7.88237094879150390625), SC_(3.451677799224853515625), SC_(0.001567578372048954697546190363817432566287) }}, 
+      {{ SC_(7.88237094879150390625), SC_(7.88237094879150390625), SC_(0.2304086783008952665744998296791021930007e-4) }}, 
+      {{ SC_(15.848876953125), SC_(0.1730655412757187150418758392333984375e-5), SC_(577812.467396494064942097256551467225537) }}, 
+      {{ SC_(15.848876953125), SC_(0.216575062950141727924346923828125e-5), SC_(461730.3678286549639904324126292681940118) }}, 
+      {{ SC_(15.848876953125), SC_(0.72700195232755504548549652099609375e-5), SC_(137547.9040660901316000472092040840673884) }}, 
+      {{ SC_(15.848876953125), SC_(0.14000004739500582218170166015625e-4), SC_(71425.23890042634784384697230625424169406) }}, 
+      {{ SC_(15.848876953125), SC_(0.17196454791701398789882659912109375e-4), SC_(58148.21255987503466037789783804288733992) }}, 
+      {{ SC_(15.848876953125), SC_(0.60085076256655156612396240234375e-4), SC_(16639.75977638419101692348021851942073003) }}, 
+      {{ SC_(15.848876953125), SC_(0.000116783194243907928466796875), SC_(8559.568200701221551218767963648849246027) }}, 
+      {{ SC_(15.848876953125), SC_(0.000149052008055150508880615234375), SC_(6705.760112274562377109693147086107759687) }}, 
+      {{ SC_(15.848876953125), SC_(0.0003985252114944159984588623046875), SC_(2505.945598047360836406987017984692903213) }}, 
+      {{ SC_(15.848876953125), SC_(0.00063875340856611728668212890625), SC_(1562.244937662732265726871770794485810834) }}, 
+      {{ SC_(15.848876953125), SC_(0.0010718167759478092193603515625), SC_(929.6935540045242455486443804204735207793) }}, 
+      {{ SC_(15.848876953125), SC_(0.00302191521041095256805419921875), SC_(327.6263775091254046984727283245152516425) }}, 
+      {{ SC_(15.848876953125), SC_(0.00499413348734378814697265625), SC_(196.9575542754211734070057984061189034343) }}, 
+      {{ SC_(15.848876953125), SC_(0.00928423367440700531005859375), SC_(104.4584212615345465801581259971762769937) }}, 
+      {{ SC_(15.848876953125), SC_(0.0241700224578380584716796875), SC_(38.21136981001168010710740679190694930632) }}, 
+      {{ SC_(15.848876953125), SC_(0.06227754056453704833984375), SC_(13.10618362350255476392166743793259749139) }}, 
+      {{ SC_(15.848876953125), SC_(0.12234418094158172607421875), SC_(5.514029391894522673178885977576812901954) }}, 
+      {{ SC_(15.848876953125), SC_(0.249557673931121826171875), SC_(1.833598229039232723593123386645917772312) }}, 
+      {{ SC_(15.848876953125), SC_(0.4912221431732177734375), SC_(0.467845046165576115379722912718972755625) }}, 
+      {{ SC_(15.848876953125), SC_(0.98384749889373779296875), SC_(0.06664123970861700317203157698863069745986) }}, 
+      {{ SC_(15.848876953125), SC_(1.1576130390167236328125), SC_(0.03776996613323409917542405876735205164805) }}, 
+      {{ SC_(15.848876953125), SC_(3.451677799224853515625), SC_(0.0001767056825017873997922509336879545386291) }}, 
+      {{ SC_(15.848876953125), SC_(7.88237094879150390625), SC_(0.310532280359287823834522315221229918373e-6) }}, 
+      {{ SC_(15.848876953125), SC_(15.848876953125), SC_(0.2576651451920685510042001174792567650789e-9) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.1730655412757187150418758392333984375e-5), SC_(577811.7705852061307949254353294671322771) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.216575062950141727924346923828125e-5), SC_(461729.6710184828160166319994100531668849) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.72700195232755504548549652099609375e-5), SC_(137547.2072690075496939939676230577664587) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.14000004739500582218170166015625e-4), SC_(71424.54212060195465862284514291276978183) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.17196454791701398789882659912109375e-4), SC_(58147.51578824736212268726758935041995717) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.60085076256655156612396240234375e-4), SC_(16639.06311472621275702017697078807585708) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.000116783194243907928466796875), SC_(8558.871684391681177902610046087055681713) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.000149052008055150508880615234375), SC_(6705.063678672548887519293397395332516276) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.0003985252114944159984588623046875), SC_(2505.24980349352938047593785567583576373) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.00063875340856611728668212890625), SC_(1561.549757854035533455898102964904417179) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.0010718167759478092193603515625), SC_(928.999480869800191174333706227134595703) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.00302191521041095256805419921875), SC_(326.9372633593889344749789623402894509337) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.00499413348734378814697265625), SC_(196.2734150111948032449933491989589331273) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.00928423367440700531005859375), SC_(103.7849653265487425512027398001941283229) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.0241700224578380584716796875), SC_(37.57355943415404987582558557137728471079) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.06227754056453704833984375), SC_(12.55038605336216829222092298247150246565) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.12234418094158172607421875), SC_(5.06466450422007092993671829951452526177) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.249557673931121826171875), SC_(1.542483843415710154392732807527862496098) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.4912221431732177734375), SC_(0.3335279709424437595711652140518853567302) }}, 
+      {{ SC_(31.314670562744140625), SC_(0.98384749889373779296875), SC_(0.03409297661295516414885174102503442819277) }}, 
+      {{ SC_(31.314670562744140625), SC_(1.1576130390167236328125), SC_(0.01721838700844971854228152401760085523744) }}, 
+      {{ SC_(31.314670562744140625), SC_(3.451677799224853515625), SC_(0.1900362128922583001056640211044473004449e-4) }}, 
+      {{ SC_(31.314670562744140625), SC_(7.88237094879150390625), SC_(0.2885050414250820990910991383845819731228e-8) }}, 
+      {{ SC_(31.314670562744140625), SC_(15.848876953125), SC_(0.6530600415427592338710565326600917620279e-13) }}, 
+      {{ SC_(31.314670562744140625), SC_(31.314670562744140625), SC_(0.8915675179813854663775491877023168025702e-19) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.1730655412757187150418758392333984375e-5), SC_(577811.6427939229375161086906177400275569) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.216575062950141727924346923828125e-5), SC_(461729.5432274267192940591041545317110485) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.72700195232755504548549652099609375e-5), SC_(137547.0794806155767312939551779369164394) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.14000004739500582218170166015625e-4), SC_(71424.41433572253924394173477030901070617) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.17196454791701398789882659912109375e-4), SC_(58147.38800503622156242701682984885441441) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.60085076256655156612396240234375e-4), SC_(16638.93535389697145567616644195839808463) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.000116783194243907928466796875), SC_(8558.7439531443773341365422276985698545) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.000149052008055150508880615234375), SC_(6704.935964257969942256683796604190388483) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.0003985252114944159984588623046875), SC_(2505.122219132224374561111132130667265447) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.00063875340856611728668212890625), SC_(1561.422298589200014741982262412434636973) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.0010718167759478092193603515625), SC_(928.8722467787222242808854452351889563633) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.00302191521041095256805419921875), SC_(326.8110378414911903385288649321631400664) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.00499413348734378814697265625), SC_(196.1482005962757034094399257872899036696) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.00928423367440700531005859375), SC_(103.6619197982581616421872226071400592126) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.0241700224578380584716796875), SC_(37.45772609209636964536574943912854380171) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.06227754056453704833984375), SC_(12.450993041772750669407167680667607419) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.12234418094158172607421875), SC_(4.986241033913772097760869076957541032543) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.249557673931121826171875), SC_(1.494248013206312554952038234048230712297) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.4912221431732177734375), SC_(0.3133802674518380533642801450941624241265) }}, 
+      {{ SC_(35.515575408935546875), SC_(0.98384749889373779296875), SC_(0.03012063183422189552497230190183310697765) }}, 
+      {{ SC_(35.515575408935546875), SC_(1.1576130390167236328125), SC_(0.01488854601694810064869001826934615844448) }}, 
+      {{ SC_(35.515575408935546875), SC_(3.451677799224853515625), SC_(0.1249353030883651639444207203869412646859e-4) }}, 
+      {{ SC_(35.515575408935546875), SC_(7.88237094879150390625), SC_(0.1169663515742618634451758579426537250388e-8) }}, 
+      {{ SC_(35.515575408935546875), SC_(15.848876953125), SC_(0.1250851178791656557811931908536049655477e-13) }}, 
+      {{ SC_(35.515575408935546875), SC_(31.314670562744140625), SC_(0.5365332615381537353158263927841062696094e-20) }}, 
+      {{ SC_(35.515575408935546875), SC_(35.515575408935546875), SC_(0.2474098388705327630350038282012894724267e-21) }}
+   } };
+
+
+
+
diff --git a/src/boost/libs/math/test/beta_med_data.ipp b/src/boost/libs/math/test/beta_med_data.ipp
new file mode 100644
index 000000000..96325315d
--- /dev/null
+++ b/src/boost/libs/math/test/beta_med_data.ipp
@@ -0,0 +1,1837 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 1830> beta_med_data = { {
+      {{ SC_(0.4883005917072296142578125), SC_(0.4883005917072296142578125), SC_(3.245912809500479157065104747353807392371) }}, 
+      {{ SC_(3.5808107852935791015625), SC_(0.4883005917072296142578125), SC_(1.007653173802923954909901438393379243537) }}, 
+      {{ SC_(3.5808107852935791015625), SC_(3.5808107852935791015625), SC_(0.01354763979296020361276499134253466025558) }}, 
+      {{ SC_(9.76306438446044921875), SC_(0.4883005917072296142578125), SC_(0.6040068168955603700205507368871869179054) }}, 
+      {{ SC_(9.76306438446044921875), SC_(3.5808107852935791015625), SC_(0.0006768556385450819292424677664459339662542) }}, 
+      {{ SC_(9.76306438446044921875), SC_(9.76306438446044921875), SC_(0.1522016641487441392375569251478701938958e-5) }}, 
+      {{ SC_(10.9950771331787109375), SC_(0.4883005917072296142578125), SC_(0.5691374355039684505283786467923310741394) }}, 
+      {{ SC_(10.9950771331787109375), SC_(3.5808107852935791015625), SC_(0.0004623291188878679140702882645611609028529) }}, 
+      {{ SC_(10.9950771331787109375), SC_(9.76306438446044921875), SC_(0.6525428759744388549684590935535556520911e-6) }}, 
+      {{ SC_(10.9950771331787109375), SC_(10.9950771331787109375), SC_(0.2595645778453125149921775190075494972069e-6) }}, 
+      {{ SC_(11.2553272247314453125), SC_(0.4883005917072296142578125), SC_(0.5625252582720929656922435362566677067416) }}, 
+      {{ SC_(11.2553272247314453125), SC_(3.5808107852935791015625), SC_(0.0004286883639355158965650882249453525366545) }}, 
+      {{ SC_(11.2553272247314453125), SC_(9.76306438446044921875), SC_(0.5507764130648082456092816216454348231704e-6) }}, 
+      {{ SC_(11.2553272247314453125), SC_(10.9950771331787109375), SC_(0.215765220969841623426272969427339892725e-6) }}, 
+      {{ SC_(11.2553272247314453125), SC_(11.2553272247314453125), SC_(0.1787990823319435797792105752447442768941e-6) }}, 
+      {{ SC_(12.70741176605224609375), SC_(0.4883005917072296142578125), SC_(0.5294907274516666109456973690863173323156) }}, 
+      {{ SC_(12.70741176605224609375), SC_(3.5808107852935791015625), SC_(0.0002889727352835592358365667915148162805071) }}, 
+      {{ SC_(12.70741176605224609375), SC_(9.76306438446044921875), SC_(0.2252927431029049671249995618445578512183e-6) }}, 
+      {{ SC_(12.70741176605224609375), SC_(10.9950771331787109375), SC_(0.8131970313223237520922385412367530078239e-7) }}, 
+      {{ SC_(12.70741176605224609375), SC_(11.2553272247314453125), SC_(0.6627020372930043647557276756580896208093e-7) }}, 
+      {{ SC_(12.70741176605224609375), SC_(12.70741176605224609375), SC_(0.2245035027874900533178284692921746500427e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(0.4883005917072296142578125), SC_(0.5127159488422374707026291329594215821195) }}, 
+      {{ SC_(13.55634593963623046875), SC_(3.5808107852935791015625), SC_(0.0002338050540339516890899323768977469084643) }}, 
+      {{ SC_(13.55634593963623046875), SC_(9.76306438446044921875), SC_(0.1385641428853223512568009007531028899044e-6) }}, 
+      {{ SC_(13.55634593963623046875), SC_(10.9950771331787109375), SC_(0.4779208342424526648121034774140947601376e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(11.2553272247314453125), SC_(0.3858688985561532847951616400183530491078e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(12.70741176605224609375), SC_(0.1243334579233090577547671408856256594842e-7) }}, 
+      {{ SC_(13.55634593963623046875), SC_(13.55634593963623046875), SC_(0.6695819170364036861651031065079190250677e-8) }}, 
+      {{ SC_(14.19721508026123046875), SC_(0.4883005917072296142578125), SC_(0.5010725503977163404563348242929462964601) }}, 
+      {{ SC_(14.19721508026123046875), SC_(3.5808107852935791015625), SC_(0.0002008402390975031689923237986077084533841) }}, 
+      {{ SC_(14.19721508026123046875), SC_(9.76306438446044921875), SC_(0.9753123839573875998586188687154385562149e-7) }}, 
+      {{ SC_(14.19721508026123046875), SC_(10.9950771331787109375), SC_(0.325396200950697967725364011405694079166e-7) }}, 
+      {{ SC_(14.19721508026123046875), SC_(11.2553272247314453125), SC_(0.2609397484154104517486373559610576982077e-7) }}, 
+      {{ SC_(14.19721508026123046875), SC_(12.70741176605224609375), SC_(0.8104897951369500255523549462354045969225e-8) }}, 
+      {{ SC_(14.19721508026123046875), SC_(13.55634593963623046875), SC_(0.4276119047726022319466243593050360444817e-8) }}, 
+      {{ SC_(14.19721508026123046875), SC_(14.19721508026123046875), SC_(0.2689992929599026714275097270923824879089e-8) }}, 
+      {{ SC_(15.76973247528076171875), SC_(0.4883005917072296142578125), SC_(0.475600932703444822636860975438244705831) }}, 
+      {{ SC_(15.76973247528076171875), SC_(3.5808107852935791015625), SC_(0.0001418728926781729275649568751766718949223) }}, 
+      {{ SC_(15.76973247528076171875), SC_(9.76306438446044921875), SC_(0.4336326752543966160912379066984549678452e-7) }}, 
+      {{ SC_(15.76973247528076171875), SC_(10.9950771331787109375), SC_(0.1338244910537290013872585434554199633933e-7) }}, 
+      {{ SC_(15.76973247528076171875), SC_(11.2553272247314453125), SC_(0.1056140308679468515555449880362724923627e-7) }}, 
+      {{ SC_(15.76973247528076171875), SC_(12.70741176605224609375), SC_(0.3009132692253922032267871346669237418265e-8) }}, 
+      {{ SC_(15.76973247528076171875), SC_(13.55634593963623046875), SC_(0.1512669863598730427313876780451595800786e-8) }}, 
+      {{ SC_(15.76973247528076171875), SC_(14.19721508026123046875), SC_(0.918353523266471209411262276890588115837e-9) }}, 
+      {{ SC_(15.76973247528076171875), SC_(15.76973247528076171875), SC_(0.2882767813027467848960413793272553398391e-9) }}, 
+      {{ SC_(17.126956939697265625), SC_(0.4883005917072296142578125), SC_(0.4565218812244720449676057777369567274854) }}, 
+      {{ SC_(17.126956939697265625), SC_(3.5808107852935791015625), SC_(0.0001077656194412027230279434065555746466143) }}, 
+      {{ SC_(17.126956939697265625), SC_(9.76306438446044921875), SC_(0.2267616977041493737061190673358616637022e-7) }}, 
+      {{ SC_(17.126956939697265625), SC_(10.9950771331787109375), SC_(0.6567383488365389895737498469534509899371e-8) }}, 
+      {{ SC_(17.126956939697265625), SC_(11.2553272247314453125), SC_(0.5115778604579878982282382763211068891719e-8) }}, 
+      {{ SC_(17.126956939697265625), SC_(12.70741176605224609375), SC_(0.1358240483817446693334902305742392032884e-8) }}, 
+      {{ SC_(17.126956939697265625), SC_(13.55634593963623046875), SC_(0.6562503597342494326172080038282840625689e-9) }}, 
+      {{ SC_(17.126956939697265625), SC_(14.19721508026123046875), SC_(0.3869619725572160229261125982995702539806e-9) }}, 
+      {{ SC_(17.126956939697265625), SC_(15.76973247528076171875), SC_(0.113368810788831205921628103707632404292e-9) }}, 
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+      {{ SC_(99.28820037841796875), SC_(98.1111602783203125), SC_(0.135331897584667014131258701945417599616e-59) }}, 
+      {{ SC_(99.28820037841796875), SC_(99.28820037841796875), SC_(0.5946341007968227163535653640336744451921e-60) }}, 
+      {{ SC_(99.64617156982421875), SC_(0.4883005917072296142578125), SC_(0.1920415401866252505960149155087364700429) }}, 
+      {{ SC_(99.64617156982421875), SC_(3.5808107852935791015625), SC_(0.2425007447493048943965527355796496259445e-6) }}, 
+      {{ SC_(99.64617156982421875), SC_(9.76306438446044921875), SC_(0.4338463329689989369521219399698331619339e-14) }}, 
+      {{ SC_(99.64617156982421875), SC_(10.9950771331787109375), SC_(0.2238793620730317918365780183630913591486e-15) }}, 
+      {{ SC_(99.64617156982421875), SC_(11.2553272247314453125), SC_(0.1217883523395548244503225558455778824065e-15) }}, 
+      {{ SC_(99.64617156982421875), SC_(12.70741176605224609375), SC_(0.4506937720795369966253108234128095796053e-17) }}, 
+      {{ SC_(99.64617156982421875), SC_(13.55634593963623046875), SC_(0.7053692076383500412728910873848177350615e-18) }}, 
+      {{ SC_(99.64617156982421875), SC_(14.19721508026123046875), SC_(0.1796747134889476173979330386276389059013e-18) }}, 
+      {{ SC_(99.64617156982421875), SC_(15.76973247528076171875), SC_(0.6990175412575383911153375435413556806998e-20) }}, 
+      {{ SC_(99.64617156982421875), SC_(17.126956939697265625), SC_(0.475219770637311911218530901770424242484e-21) }}, 
+      {{ SC_(99.64617156982421875), SC_(17.394779205322265625), SC_(0.2828061146103015181288433756774729344582e-21) }}, 
+      {{ SC_(99.64617156982421875), SC_(18.8463134765625), SC_(0.1805339957483893466812493111272198920639e-22) }}, 
+      {{ SC_(99.64617156982421875), SC_(21.200313568115234375), SC_(0.2551145044678329055180101519714681369991e-24) }}, 
+      {{ SC_(99.64617156982421875), SC_(22.111194610595703125), SC_(0.521827937109776436392706852004371656104e-25) }}, 
+      {{ SC_(99.64617156982421875), SC_(27.8570384979248046875), SC_(0.4585509723284941456360070341222362036382e-29) }}, 
+      {{ SC_(99.64617156982421875), SC_(29.709972381591796875), SC_(0.2797738978507146557808496231858841269347e-30) }}, 
+      {{ SC_(99.64617156982421875), SC_(30.198291778564453125), SC_(0.1359628995333712367120268567405627842371e-30) }}, 
+      {{ SC_(99.64617156982421875), SC_(30.8236217498779296875), SC_(0.5445278627462667801264942137517994423527e-31) }}, 
+      {{ SC_(99.64617156982421875), SC_(36.1357879638671875), SC_(0.3335676798398169433467181047773937919425e-34) }}, 
+      {{ SC_(99.64617156982421875), SC_(39.228778839111328125), SC_(0.5925480070878764501178860688204541780342e-36) }}, 
+      {{ SC_(99.64617156982421875), SC_(39.8798675537109375), SC_(0.2596346306023602973051248853685030558771e-36) }}, 
+      {{ SC_(99.64617156982421875), SC_(42.181911468505859375), SC_(0.1491806079618579894544070083102953058676e-37) }}, 
+      {{ SC_(99.64617156982421875), SC_(42.21454620361328125), SC_(0.1433543971257228329446310718021257196428e-37) }}, 
+      {{ SC_(99.64617156982421875), SC_(47.481121063232421875), SC_(0.2894219671371863633901114678428523677553e-40) }}, 
+      {{ SC_(99.64617156982421875), SC_(48.5427093505859375), SC_(0.8715859321707892083793914056580348529658e-41) }}, 
+      {{ SC_(99.64617156982421875), SC_(50.371234893798828125), SC_(0.1144304917248501740653089888841788532933e-41) }}, 
+      {{ SC_(99.64617156982421875), SC_(54.69268035888671875), SC_(0.1122326874270186317133861668699838855083e-43) }}, 
+      {{ SC_(99.64617156982421875), SC_(54.72658538818359375), SC_(0.108332632811810033121283078371423493224e-43) }}, 
+      {{ SC_(99.64617156982421875), SC_(63.23960113525390625), SC_(0.2262074110898120193155243766072235368719e-47) }}, 
+      {{ SC_(99.64617156982421875), SC_(63.979938507080078125), SC_(0.1121769230946183388130951853048359732083e-47) }}, 
+      {{ SC_(99.64617156982421875), SC_(65.55123138427734375), SC_(0.2576069444251818757386717313878324944765e-48) }}, 
+      {{ SC_(99.64617156982421875), SC_(65.57750701904296875), SC_(0.2513961622572047306221104339881351344355e-48) }}, 
+      {{ SC_(99.64617156982421875), SC_(67.8767242431640625), SC_(0.3044620609127321948461303153395712705542e-49) }}, 
+      {{ SC_(99.64617156982421875), SC_(68.13913726806640625), SC_(0.2399969117830299809884620846041547199087e-49) }}, 
+      {{ SC_(99.64617156982421875), SC_(72.586639404296875), SC_(0.4654774693873818497215598980564748298819e-51) }}, 
+      {{ SC_(99.64617156982421875), SC_(74.06732177734375), SC_(0.1298622741166349753386447918518841478102e-51) }}, 
+      {{ SC_(99.64617156982421875), SC_(74.31581878662109375), SC_(0.1049960916780689406311743991678991020359e-51) }}, 
+      {{ SC_(99.64617156982421875), SC_(75.77643585205078125), SC_(0.3039342449834348309579161767378331641473e-52) }}, 
+      {{ SC_(99.64617156982421875), SC_(79.222808837890625), SC_(0.1737297384572845553919699070496733332975e-53) }}, 
+      {{ SC_(99.64617156982421875), SC_(79.79488372802734375), SC_(0.1089347230301574574227379586143568671545e-53) }}, 
+      {{ SC_(99.64617156982421875), SC_(79.81259918212890625), SC_(0.1073754663619106685903160281830989629804e-53) }}, 
+      {{ SC_(99.64617156982421875), SC_(80.0300445556640625), SC_(0.8997668853899322225061748437651655966981e-54) }}, 
+      {{ SC_(99.64617156982421875), SC_(81.47422027587890625), SC_(0.2804407307548493204640087364124890413703e-54) }}, 
+      {{ SC_(99.64617156982421875), SC_(83.50250244140625), SC_(0.5586826121117789439615638077672711001932e-55) }}, 
+      {{ SC_(99.64617156982421875), SC_(84.9144439697265625), SC_(0.1846564298928271058587078878704235002733e-55) }}, 
+      {{ SC_(99.64617156982421875), SC_(87.8442840576171875), SC_(0.1933065218129760647098319832562443180994e-56) }}, 
+      {{ SC_(99.64617156982421875), SC_(90.58013916015625), SC_(0.246368912661760433645524568855257596525e-57) }}, 
+      {{ SC_(99.64617156982421875), SC_(91.3384552001953125), SC_(0.1402807696431983675171416011032570303907e-57) }}, 
+      {{ SC_(99.64617156982421875), SC_(91.57439422607421875), SC_(0.1178127749000117009577583032714136533809e-57) }}, 
+      {{ SC_(99.64617156982421875), SC_(93.3999786376953125), SC_(0.3085259587898341188615347001733307622013e-58) }}, 
+      {{ SC_(99.64617156982421875), SC_(95.71712493896484375), SC_(0.5784821309052389104753898006604136073638e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(95.75110626220703125), SC_(0.5645763032239863667263699872521759670044e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(95.94964599609375), SC_(0.489819130902001275392106966836686313721e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(96.48920440673828125), SC_(0.3333152772138028099176546108963123743121e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(96.76981353759765625), SC_(0.2730076878660219712815291918211112895904e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(96.88709259033203125), SC_(0.2511891524767099195545978116145973727058e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(97.0595703125), SC_(0.222258516470169272817490714164593170175e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(98.1111602783203125), SC_(0.1057582725557246879085406508118398211083e-59) }}, 
+      {{ SC_(99.64617156982421875), SC_(99.28820037841796875), SC_(0.4637012277372110272033377955412817752539e-60) }}, 
+      {{ SC_(99.64617156982421875), SC_(99.64617156982421875), SC_(0.3613651154665954292095783593077701467444e-60) }}
+   } };
diff --git a/src/boost/libs/math/test/beta_small_data.ipp b/src/boost/libs/math/test/beta_small_data.ipp
new file mode 100644
index 000000000..26659e119
--- /dev/null
+++ b/src/boost/libs/math/test/beta_small_data.ipp
@@ -0,0 +1,37 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+using std::ldexp;
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 23> beta_small_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1155631.551635027016649268884796909927277) }},
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(1039549.452063747329381617654200841254652) }},
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.216575062950141727924346923828125e-5), SC_(923467.3524924676425690820378921903570447) }},
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(715366.9882608199489156088500706918884474) }},
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.216575062950141727924346923828125e-5), SC_(599284.8886895402674421924477675861806454) }},
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.72700195232755504548549652099609375e-5), SC_(275102.4248866129549503632384850636365051) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(649244.3230419389091055494874477610228104) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.216575062950141727924346923828125e-5), SC_(533162.2234706592346717218748633348329255) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(208979.7596677320047637517666971035319141) }},
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000004739500582218170166015625e-4), SC_(142857.0944488511634633414470885024340382) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(635967.2966761120408405544283252854891051) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(519885.1971048323697502064131013612391462) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(195702.7333019051790657557774869592595619) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(129580.0680830243894812627999923649303964) }},
+      {{ SC_(0.17196454791701398789882659912109375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(116303.0417171976400618567245671670493297) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.1730655412757187150418758392333984375e-5), SC_(594458.8435535046961781833034439822035691) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.216575062950141727924346923828125e-5), SC_(478376.7439822250699480739314338811953296) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.72700195232755504548549652099609375e-5), SC_(154194.2801792984055346510144704788292969) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.14000004739500582218170166015625e-4), SC_(88071.61496041830983457563965247905141874) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.17196454791701398789882659912109375e-4), SC_(74794.58859459188997822531683455967562115) }},
+      {{ SC_(0.60085076256655156612396240234375e-4), SC_(0.60085076256655156612396240234375e-4), SC_(33286.13547199056171829186221434157408122) }},
+      {{ std::numeric_limits<T>::max_exponent > 154 ? SC_(2.9833362924800826973163861261851735349505886138402e-154) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(3.7291703656001033716454826577314669186882357673002e-155) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(3.0167567842370843474041556245963153786828573096333e154) : SC_(1.0) }},
+      {{ std::numeric_limits<T>::max_exponent > 154 ? SC_(2.9833362924800826973163861261851735349505886138402e-154) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(1.8645851828000516858227413288657334593441178836501e-155) : SC_(1.0), std::numeric_limits<T>::max_exponent > 154 ? SC_(5.6983183702256037673189606242374846041787304737518e154) : SC_(1.0) }}
+   } };
+
+
+// static_cast<T>(BOOST_JOIN(x, L)) // changes type to T and adds suffix L to decimal digit string.
+
+
diff --git a/src/boost/libs/math/test/binomial_data.ipp b/src/boost/libs/math/test/binomial_data.ipp
new file mode 100644
index 000000000..1cca2ad1e
--- /dev/null
+++ b/src/boost/libs/math/test/binomial_data.ipp
@@ -0,0 +1,167 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 159> binomial_data = { {
+      {{ SC_(0.15e2), SC_(0.15e2), SC_(0.1e1) }}, 
+      {{ SC_(0.19e2), SC_(0.15e2), SC_(0.3876e4) }}, 
+      {{ SC_(0.19e2), SC_(0.19e2), SC_(0.1e1) }}, 
+      {{ SC_(0.21e2), SC_(0.15e2), SC_(0.54264e5) }}, 
+      {{ SC_(0.21e2), SC_(0.19e2), SC_(0.21e3) }}, 
+      {{ SC_(0.21e2), SC_(0.21e2), SC_(0.1e1) }}, 
+      {{ SC_(0.29e2), SC_(0.15e2), SC_(0.7755876e8) }}, 
+      {{ SC_(0.29e2), SC_(0.19e2), SC_(0.2003001e8) }}, 
+      {{ SC_(0.29e2), SC_(0.21e2), SC_(0.4292145e7) }}, 
+      {{ SC_(0.29e2), SC_(0.29e2), SC_(0.1e1) }}, 
+      {{ SC_(0.33e2), SC_(0.15e2), SC_(0.103715832e10) }}, 
+      {{ SC_(0.33e2), SC_(0.19e2), SC_(0.8188092e9) }}, 
+      {{ SC_(0.33e2), SC_(0.21e2), SC_(0.35481732e9) }}, 
+      {{ SC_(0.33e2), SC_(0.29e2), SC_(0.4092e5) }}, 
+      {{ SC_(0.33e2), SC_(0.33e2), SC_(0.1e1) }}, 
+      {{ SC_(0.42e2), SC_(0.15e2), SC_(0.98672427616e11) }}, 
+      {{ SC_(0.42e2), SC_(0.19e2), SC_(0.4467753108e12) }}, 
+      {{ SC_(0.42e2), SC_(0.21e2), SC_(0.53825787444e12) }}, 
+      {{ SC_(0.42e2), SC_(0.29e2), SC_(0.2551873128e11) }}, 
+      {{ SC_(0.42e2), SC_(0.33e2), SC_(0.44589181e9) }}, 
+      {{ SC_(0.42e2), SC_(0.42e2), SC_(0.1e1) }}, 
+      {{ SC_(0.46e2), SC_(0.15e2), SC_(0.511738760544e12) }}, 
+      {{ SC_(0.46e2), SC_(0.19e2), SC_(0.415424667196e13) }}, 
+      {{ SC_(0.46e2), SC_(0.21e2), SC_(0.6943526580276e13) }}, 
+      {{ SC_(0.46e2), SC_(0.29e2), SC_(0.174969502686e13) }}, 
+      {{ SC_(0.46e2), SC_(0.33e2), SC_(0.10176623079e12) }}, 
+      {{ SC_(0.46e2), SC_(0.42e2), SC_(0.163185e6) }}, 
+      {{ SC_(0.46e2), SC_(0.46e2), SC_(0.1e1) }}, 
+      {{ SC_(0.82e2), SC_(0.15e2), SC_(0.996731056598616e16) }}, 
+      {{ SC_(0.82e2), SC_(0.19e2), SC_(0.19710382359693168e19) }}, 
+      {{ SC_(0.82e2), SC_(0.21e2), SC_(0.1833065559451464624e20) }}, 
+      {{ SC_(0.82e2), SC_(0.29e2), SC_(0.1257660762751009389168e23) }}, 
+      {{ SC_(0.82e2), SC_(0.33e2), SC_(0.899986590548788671513e23) }}, 
+      {{ SC_(0.82e2), SC_(0.42e2), SC_(0.41467066225715382349482e24) }}, 
+      {{ SC_(0.82e2), SC_(0.46e2), SC_(0.23223183395337370425708e24) }}, 
+      {{ SC_(0.82e2), SC_(0.82e2), SC_(0.1e1) }}, 
+      {{ SC_(0.95e2), SC_(0.15e2), SC_(0.110375347398090219e18) }}, 
+      {{ SC_(0.95e2), SC_(0.19e2), SC_(0.45038039715653129145e20) }}, 
+      {{ SC_(0.95e2), SC_(0.21e2), SC_(0.611230538998149609825e21) }}, 
+      {{ SC_(0.95e2), SC_(0.29e2), SC_(0.2146280142106099437545685e25) }}, 
+      {{ SC_(0.95e2), SC_(0.33e2), SC_(0.3780222443838484815806271e26) }}, 
+      {{ SC_(0.95e2), SC_(0.42e2), SC_(0.171987522327068244097964157e28) }}, 
+      {{ SC_(0.95e2), SC_(0.46e2), SC_(0.308620560869098008873280965e28) }}, 
+      {{ SC_(0.95e2), SC_(0.82e2), SC_(0.3489735464257595e16) }}, 
+      {{ SC_(0.95e2), SC_(0.95e2), SC_(0.1e1) }}, 
+      {{ SC_(0.122e3), SC_(0.15e2), SC_(0.6156937298378625264e19) }}, 
+      {{ SC_(0.122e3), SC_(0.19e2), SC_(0.819751088529043274604e22) }}, 
+      {{ SC_(0.122e3), SC_(0.21e2), SC_(0.205054879430622110547372e24) }}, 
+      {{ SC_(0.122e3), SC_(0.29e2), SC_(0.965499981454662046766678536e28) }}, 
+      {{ SC_(0.122e3), SC_(0.33e2), SC_(0.68890617994929806723272437813e30) }}, 
+      {{ SC_(0.122e3), SC_(0.42e2), SC_(0.982048893026815201335532502524191e33) }}, 
+      {{ SC_(0.122e3), SC_(0.46e2), SC_(0.9517963588769497111427223674615988e34) }}, 
+      {{ SC_(0.122e3), SC_(0.82e2), SC_(0.254605268562507644790693611765531e33) }}, 
+      {{ SC_(0.122e3), SC_(0.95e2), SC_(0.877923835320476575559398624e27) }}, 
+      {{ SC_(0.122e3), SC_(0.122e3), SC_(0.1e1) }}, 
+      {{ SC_(0.125e3), SC_(0.15e2), SC_(0.90648078331934398e19) }}, 
+      {{ SC_(0.125e3), SC_(0.19e2), SC_(0.1350175763944140060675e23) }}, 
+      {{ SC_(0.125e3), SC_(0.21e2), SC_(0.357796577445197116078875e24) }}, 
+      {{ SC_(0.125e3), SC_(0.29e2), SC_(0.21471697865846785089593512375e29) }}, 
+      {{ SC_(0.125e3), SC_(0.33e2), SC_(0.1743111472200107189546091504625e31) }}, 
+      {{ SC_(0.125e3), SC_(0.42e2), SC_(0.339619764433637564049548277312025e34) }}, 
+      {{ SC_(0.125e3), SC_(0.46e2), SC_(0.38244450869782214079034893241053e35) }}, 
+      {{ SC_(0.125e3), SC_(0.82e2), SC_(0.655545126697486460839825744579025e34) }}, 
+      {{ SC_(0.125e3), SC_(0.95e2), SC_(0.687094331707097122866992396e29) }}, 
+      {{ SC_(0.125e3), SC_(0.122e3), SC_(0.31775e6) }}, 
+      {{ SC_(0.125e3), SC_(0.125e3), SC_(0.1e1) }}, 
+      {{ SC_(0.135e3), SC_(0.15e2), SC_(0.307563739414613748e20) }}, 
+      {{ SC_(0.135e3), SC_(0.19e2), SC_(0.65183278299357679461e23) }}, 
+      {{ SC_(0.135e3), SC_(0.21e2), SC_(0.2070345077412932009547e25) }}, 
+      {{ SC_(0.135e3), SC_(0.29e2), SC_(0.2654598483954587033449048188e30) }}, 
+      {{ SC_(0.135e3), SC_(0.33e2), SC_(0.322268385697858320141605625441e32) }}, 
+      {{ SC_(0.135e3), SC_(0.42e2), SC_(0.165539796634100865734488051471458e36) }}, 
+      {{ SC_(0.135e3), SC_(0.46e2), SC_(0.2961867439565318449706072684149998e37) }}, 
+      {{ SC_(0.135e3), SC_(0.82e2), SC_(0.1323968752490674447090425029339391282e39) }}, 
+      {{ SC_(0.135e3), SC_(0.95e2), SC_(0.319215598884570762368184126129732e35) }}, 
+      {{ SC_(0.135e3), SC_(0.122e3), SC_(0.437531400061434e18) }}, 
+      {{ SC_(0.135e3), SC_(0.125e3), SC_(0.393812684240976e15) }}, 
+      {{ SC_(0.135e3), SC_(0.135e3), SC_(0.1e1) }}, 
+      {{ SC_(0.137e3), SC_(0.15e2), SC_(0.388194525997363728e20) }}, 
+      {{ SC_(0.137e3), SC_(0.19e2), SC_(0.87968625327656981292e23) }}, 
+      {{ SC_(0.137e3), SC_(0.21e2), SC_(0.28916543839848387707556e25) }}, 
+      {{ SC_(0.137e3), SC_(0.29e2), SC_(0.4280069137507949602563401336e30) }}, 
+      {{ SC_(0.137e3), SC_(0.33e2), SC_(0.560540007685072462740701644251e32) }}, 
+      {{ SC_(0.137e3), SC_(0.42e2), SC_(0.3453905364934565879468064249738192e36) }}, 
+      {{ SC_(0.137e3), SC_(0.46e2), SC_(0.67381580139170956477318127290699344e37) }}, 
+      {{ SC_(0.137e3), SC_(0.95e2), SC_(0.3453905364934565879468064249738192e36) }}, 
+      {{ SC_(0.137e3), SC_(0.122e3), SC_(0.388194525997363728e20) }}, 
+      {{ SC_(0.137e3), SC_(0.125e3), SC_(0.55587257066498976e17) }}, 
+      {{ SC_(0.137e3), SC_(0.135e3), SC_(0.9316e4) }}, 
+      {{ SC_(0.137e3), SC_(0.137e3), SC_(0.1e1) }}, 
+      {{ SC_(0.143e3), SC_(0.15e2), SC_(0.76435265515004093841e20) }}, 
+      {{ SC_(0.143e3), SC_(0.19e2), SC_(0.210374461432936964163e24) }}, 
+      {{ SC_(0.143e3), SC_(0.21e2), SC_(0.76395982994646537557478e25) }}, 
+      {{ SC_(0.143e3), SC_(0.29e2), SC_(0.17138496567725350060390313738e31) }}, 
+      {{ SC_(0.143e3), SC_(0.33e2), SC_(0.27947962468928852152878073112114e33) }}, 
+      {{ SC_(0.143e3), SC_(0.42e2), SC_(0.291038363317011408088847346619471914e37) }}, 
+      {{ SC_(0.143e3), SC_(0.46e2), SC_(0.728184459077800535203086713053471437e38) }}, 
+      {{ SC_(0.143e3), SC_(0.95e2), SC_(0.3005697554491346889987208985795179974e39) }}, 
+      {{ SC_(0.143e3), SC_(0.122e3), SC_(0.76395982994646537557478e25) }}, 
+      {{ SC_(0.143e3), SC_(0.125e3), SC_(0.31976918137806418552776e23) }}, 
+      {{ SC_(0.143e3), SC_(0.135e3), SC_(0.3553074951283e13) }}, 
+      {{ SC_(0.143e3), SC_(0.137e3), SC_(0.10679057389e11) }}, 
+      {{ SC_(0.143e3), SC_(0.143e3), SC_(0.1e1) }}, 
+      {{ SC_(0.144e3), SC_(0.15e2), SC_(0.85323087086516197776e20) }}, 
+      {{ SC_(0.144e3), SC_(0.19e2), SC_(0.242351379570743382715776e24) }}, 
+      {{ SC_(0.144e3), SC_(0.21e2), SC_(0.89439199603488629335584e25) }}, 
+      {{ SC_(0.144e3), SC_(0.29e2), SC_(0.214603783108908731190974363328e31) }}, 
+      {{ SC_(0.144e3), SC_(0.33e2), SC_(0.36256816175907700090220202956256e33) }}, 
+      {{ SC_(0.144e3), SC_(0.42e2), SC_(0.410877689388721987890137430521607408e37) }}, 
+      {{ SC_(0.144e3), SC_(0.46e2), SC_(0.1069985327624523235400453945711223336e39) }}, 
+      {{ SC_(0.144e3), SC_(0.122e3), SC_(0.500046434146777336739856e26) }}, 
+      {{ SC_(0.144e3), SC_(0.125e3), SC_(0.242351379570743382715776e24) }}, 
+      {{ SC_(0.144e3), SC_(0.135e3), SC_(0.56849199220528e14) }}, 
+      {{ SC_(0.144e3), SC_(0.137e3), SC_(0.219683466288e12) }}, 
+      {{ SC_(0.144e3), SC_(0.143e3), SC_(0.144e3) }}, 
+      {{ SC_(0.144e3), SC_(0.144e3), SC_(0.1e1) }}, 
+      {{ SC_(0.145e3), SC_(0.15e2), SC_(0.95168058673421912904e20) }}, 
+      {{ SC_(0.145e3), SC_(0.19e2), SC_(0.27889642887109357534752e24) }}, 
+      {{ SC_(0.145e3), SC_(0.21e2), SC_(0.10458616082666009075532e26) }}, 
+      {{ SC_(0.145e3), SC_(0.29e2), SC_(0.26825472888613591398871795416e31) }}, 
+      {{ SC_(0.145e3), SC_(0.33e2), SC_(0.4693962808488050458108865561301e33) }}, 
+      {{ SC_(0.145e3), SC_(0.42e2), SC_(0.57842004816858920625310609151100072e37) }}, 
+      {{ SC_(0.145e3), SC_(0.46e2), SC_(0.156715022732884716296026082957704428e39) }}, 
+      {{ SC_(0.145e3), SC_(0.122e3), SC_(0.315246665005577016640344e27) }}, 
+      {{ SC_(0.145e3), SC_(0.125e3), SC_(0.1757047501887889524689376e25) }}, 
+      {{ SC_(0.145e3), SC_(0.135e3), SC_(0.824313388697656e15) }}, 
+      {{ SC_(0.145e3), SC_(0.137e3), SC_(0.398176282647e13) }}, 
+      {{ SC_(0.145e3), SC_(0.143e3), SC_(0.1044e5) }}, 
+      {{ SC_(0.145e3), SC_(0.144e3), SC_(0.145e3) }}, 
+      {{ SC_(0.145e3), SC_(0.145e3), SC_(0.1e1) }}, 
+      {{ SC_(0.148e3), SC_(0.15e2), SC_(0.131439605927052712464e21) }}, 
+      {{ SC_(0.148e3), SC_(0.19e2), SC_(0.42244624913775365779698e24) }}, 
+      {{ SC_(0.148e3), SC_(0.21e2), SC_(0.16608172537529972375104128e26) }}, 
+      {{ SC_(0.148e3), SC_(0.29e2), SC_(0.51863815313548295889610045344e31) }}, 
+      {{ SC_(0.148e3), SC_(0.33e2), SC_(0.100644585365316213131406856592232e34) }}, 
+      {{ SC_(0.148e3), SC_(0.42e2), SC_(0.1587255130729102485141868921944628536e38) }}, 
+      {{ SC_(0.148e3), SC_(0.122e3), SC_(0.6418858594895863473128136624e29) }}, 
+      {{ SC_(0.148e3), SC_(0.125e3), SC_(0.525225250880542723214261376e27) }}, 
+      {{ SC_(0.148e3), SC_(0.135e3), SC_(0.1525832904625819216e19) }}, 
+      {{ SC_(0.148e3), SC_(0.137e3), SC_(0.12775329171405528e17) }}, 
+      {{ SC_(0.148e3), SC_(0.143e3), SC_(0.552689424e9) }}, 
+      {{ SC_(0.148e3), SC_(0.144e3), SC_(0.19190605e8) }}, 
+      {{ SC_(0.148e3), SC_(0.145e3), SC_(0.529396e6) }}, 
+      {{ SC_(0.148e3), SC_(0.148e3), SC_(0.1e1) }}, 
+      {{ SC_(0.149e3), SC_(0.15e2), SC_(0.146152994650230254904e21) }}, 
+      {{ SC_(0.149e3), SC_(0.19e2), SC_(0.484188393242502269321154e24) }}, 
+      {{ SC_(0.149e3), SC_(0.21e2), SC_(0.19332950844468483467894649e26) }}, 
+      {{ SC_(0.149e3), SC_(0.29e2), SC_(0.643975706809891340629324729688e31) }}, 
+      {{ SC_(0.149e3), SC_(0.33e2), SC_(0.129276234650276859970513979588298e34) }}, 
+      {{ SC_(0.149e3), SC_(0.42e2), SC_(0.2210289854940525890524658592240650952e38) }}, 
+      {{ SC_(0.149e3), SC_(0.122e3), SC_(0.35422590023684579907262679888e30) }}, 
+      {{ SC_(0.149e3), SC_(0.125e3), SC_(0.3260773432550036073288539376e28) }}, 
+      {{ SC_(0.149e3), SC_(0.135e3), SC_(0.16239221627803361656e20) }}, 
+      {{ SC_(0.149e3), SC_(0.137e3), SC_(0.158627003878285306e18) }}, 
+      {{ SC_(0.149e3), SC_(0.143e3), SC_(0.13725120696e11) }}, 
+      {{ SC_(0.149e3), SC_(0.144e3), SC_(0.571880029e9) }}, 
+      {{ SC_(0.149e3), SC_(0.145e3), SC_(0.19720001e8) }}, 
+      {{ SC_(0.149e3), SC_(0.148e3), SC_(0.149e3) }}, 
+      {{ SC_(0.149e3), SC_(0.149e3), SC_(0.1e1) }}
+   } };
+
diff --git a/src/boost/libs/math/test/binomial_large_data.ipp b/src/boost/libs/math/test/binomial_large_data.ipp
new file mode 100644
index 000000000..ea369e5e4
--- /dev/null
+++ b/src/boost/libs/math/test/binomial_large_data.ipp
@@ -0,0 +1,238 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 230> binomial_large_data = { {
+      {{ SC_(0.174e3), SC_(0.4e1), SC_(0.36890001e8) }}, 
+      {{ SC_(0.174e3), SC_(0.5e1), SC_(0.1254260034e10) }}, 
+      {{ SC_(0.174e3), SC_(0.6e1), SC_(0.35328324291e11) }}, 
+      {{ SC_(0.174e3), SC_(0.8e1), SC_(0.17699490469791e14) }}, 
+      {{ SC_(0.174e3), SC_(0.9e1), SC_(0.326457268665034e15) }}, 
+      {{ SC_(0.174e3), SC_(0.11e2), SC_(0.80308488091598364e17) }}, 
+      {{ SC_(0.174e3), SC_(0.13e2), SC_(0.13593756003504784614e20) }}, 
+      {{ SC_(0.174e3), SC_(0.22e2), SC_(0.4359346248249975839021623926e28) }}, 
+      {{ SC_(0.174e3), SC_(0.25e2), SC_(0.1087562120541667885404612090756e31) }}, 
+      {{ SC_(0.174e3), SC_(0.32e2), SC_(0.90596769259248050560796925567405729e35) }}, 
+      {{ SC_(0.174e3), SC_(0.33e2), SC_(0.389840643479188581201004952441564046e36) }}, 
+      {{ SC_(0.174e3), SC_(0.36e2), SC_(0.24968911018132735303785934846085665809e38) }}, 
+      {{ SC_(0.174e3), SC_(0.38e2), SC_(0.335748386706129085101975024324392317059e39) }}, 
+      {{ SC_(0.181e3), SC_(0.4e1), SC_(0.43252665e8) }}, 
+      {{ SC_(0.181e3), SC_(0.5e1), SC_(0.1531144341e10) }}, 
+      {{ SC_(0.181e3), SC_(0.6e1), SC_(0.44913567336e11) }}, 
+      {{ SC_(0.181e3), SC_(0.8e1), SC_(0.2442175223895e14) }}, 
+      {{ SC_(0.181e3), SC_(0.9e1), SC_(0.46944034859315e15) }}, 
+      {{ SC_(0.181e3), SC_(0.11e2), SC_(0.12551981393474298e18) }}, 
+      {{ SC_(0.181e3), SC_(0.13e2), SC_(0.2311656573298183215e20) }}, 
+      {{ SC_(0.181e3), SC_(0.22e2), SC_(0.109786047308135746805973924e29) }}, 
+      {{ SC_(0.181e3), SC_(0.25e2), SC_(0.3137775924888208973244704900292e31) }}, 
+      {{ SC_(0.181e3), SC_(0.32e2), SC_(0.362807370049633357494117222655465275e36) }}, 
+      {{ SC_(0.181e3), SC_(0.33e2), SC_(0.1638130246587738492927983823504979575e37) }}, 
+      {{ SC_(0.181e3), SC_(0.36e2), SC_(0.121459327734252437983487804513759407155e39) }}, 
+      {{ SC_(0.183e3), SC_(0.4e1), SC_(0.45212895e8) }}, 
+      {{ SC_(0.183e3), SC_(0.5e1), SC_(0.1618621641e10) }}, 
+      {{ SC_(0.183e3), SC_(0.6e1), SC_(0.48019108683e11) }}, 
+      {{ SC_(0.183e3), SC_(0.8e1), SC_(0.26712344173086e14) }}, 
+      {{ SC_(0.183e3), SC_(0.9e1), SC_(0.51940669225445e15) }}, 
+      {{ SC_(0.183e3), SC_(0.11e2), SC_(0.14213800227494049e18) }}, 
+      {{ SC_(0.183e3), SC_(0.13e2), SC_(0.2679848027506762623e20) }}, 
+      {{ SC_(0.183e3), SC_(0.22e2), SC_(0.14194619920981246828881085065e29) }}, 
+      {{ SC_(0.183e3), SC_(0.25e2), SC_(0.4212963192547234058811906047292e31) }}, 
+      {{ SC_(0.183e3), SC_(0.32e2), SC_(0.533495022820003911907243629923308011e36) }}, 
+      {{ SC_(0.183e3), SC_(0.33e2), SC_(0.2441143892297593657514963276315742717e37) }}, 
+      {{ SC_(0.183e3), SC_(0.36e2), SC_(0.188487763000513078905882248491998453765e39) }}, 
+      {{ SC_(0.197e3), SC_(0.4e1), SC_(0.60862165e8) }}, 
+      {{ SC_(0.197e3), SC_(0.5e1), SC_(0.2349279569e10) }}, 
+      {{ SC_(0.197e3), SC_(0.6e1), SC_(0.75176946208e11) }}, 
+      {{ SC_(0.197e3), SC_(0.8e1), SC_(0.4871734603372e14) }}, 
+      {{ SC_(0.197e3), SC_(0.9e1), SC_(0.102306426670812e16) }}, 
+      {{ SC_(0.197e3), SC_(0.11e2), SC_(0.326971339639915152e18) }}, 
+      {{ SC_(0.197e3), SC_(0.13e2), SC_(0.7212233203211205372e20) }}, 
+      {{ SC_(0.197e3), SC_(0.22e2), SC_(0.79183342998439646916544716576e29) }}, 
+      {{ SC_(0.197e3), SC_(0.25e2), SC_(0.30226519812632630000675368493832e32) }}, 
+      {{ SC_(0.197e3), SC_(0.32e2), SC_(0.7012229196864814144578953941342321778e37) }}, 
+      {{ SC_(0.197e3), SC_(0.33e2), SC_(0.3506114598432407072289476970671160889e38) }}, 
+      {{ SC_(0.205e3), SC_(0.4e1), SC_(0.71452955e8) }}, 
+      {{ SC_(0.205e3), SC_(0.5e1), SC_(0.2872408791e10) }}, 
+      {{ SC_(0.205e3), SC_(0.6e1), SC_(0.957469597e11) }}, 
+      {{ SC_(0.205e3), SC_(0.8e1), SC_(0.67368244751775e14) }}, 
+      {{ SC_(0.205e3), SC_(0.9e1), SC_(0.1474616024011075e16) }}, 
+      {{ SC_(0.205e3), SC_(0.11e2), SC_(0.51236204034275715e18) }}, 
+      {{ SC_(0.205e3), SC_(0.13e2), SC_(0.122973458426368674425e21) }}, 
+      {{ SC_(0.205e3), SC_(0.22e2), SC_(0.1996995395393768863820790084e30) }}, 
+      {{ SC_(0.205e3), SC_(0.25e2), SC_(0.87236660026494642796327227908148e32) }}, 
+      {{ SC_(0.205e3), SC_(0.32e2), SC_(0.2797639369858790056445408204110589505e38) }}, 
+      {{ SC_(0.205e3), SC_(0.33e2), SC_(0.14666412454108202417122897554882787405e39) }}, 
+      {{ SC_(0.219e3), SC_(0.4e1), SC_(0.93240126e8) }}, 
+      {{ SC_(0.219e3), SC_(0.5e1), SC_(0.4009325418e10) }}, 
+      {{ SC_(0.219e3), SC_(0.6e1), SC_(0.142999273242e12) }}, 
+      {{ SC_(0.219e3), SC_(0.8e1), SC_(0.115308485402067e15) }}, 
+      {{ SC_(0.219e3), SC_(0.9e1), SC_(0.2703343379981793e16) }}, 
+      {{ SC_(0.219e3), SC_(0.11e2), SC_(0.1078634008612735407e19) }}, 
+      {{ SC_(0.219e3), SC_(0.13e2), SC_(0.297702986377114972332e21) }}, 
+      {{ SC_(0.219e3), SC_(0.22e2), SC_(0.92286864572641294222383786261e30) }}, 
+      {{ SC_(0.219e3), SC_(0.25e2), SC_(0.503521145580703624811857345830723e33) }}, 
+      {{ SC_(0.219e3), SC_(0.32e2), SC_(0.275143042079930237307916608031577699934e39) }}, 
+      {{ SC_(0.227e3), SC_(0.4e1), SC_(0.1077342e9) }}, 
+      {{ SC_(0.227e3), SC_(0.5e1), SC_(0.480494532e10) }}, 
+      {{ SC_(0.227e3), SC_(0.6e1), SC_(0.17778297684e12) }}, 
+      {{ SC_(0.227e3), SC_(0.8e1), SC_(0.1543537202493e15) }}, 
+      {{ SC_(0.227e3), SC_(0.9e1), SC_(0.37559405260663e16) }}, 
+      {{ SC_(0.227e3), SC_(0.11e2), SC_(0.161525929569174898e19) }}, 
+      {{ SC_(0.227e3), SC_(0.13e2), SC_(0.4808502672559283502e21) }}, 
+      {{ SC_(0.227e3), SC_(0.22e2), SC_(0.211447113241809535208273441052e31) }}, 
+      {{ SC_(0.227e3), SC_(0.25e2), SC_(0.1300776673899864041137122497734284e34) }}, 
+      {{ SC_(0.286e3), SC_(0.4e1), SC_(0.272963405e9) }}, 
+      {{ SC_(0.286e3), SC_(0.5e1), SC_(0.15395136042e11) }}, 
+      {{ SC_(0.286e3), SC_(0.6e1), SC_(0.721005537967e12) }}, 
+      {{ SC_(0.286e3), SC_(0.8e1), SC_(0.1005802725463965e16) }}, 
+      {{ SC_(0.286e3), SC_(0.9e1), SC_(0.3106812863099803e17) }}, 
+      {{ SC_(0.286e3), SC_(0.11e2), SC_(0.21592914273609648996e20) }}, 
+      {{ SC_(0.286e3), SC_(0.13e2), SC_(0.1042965442638773751185e23) }}, 
+      {{ SC_(0.286e3), SC_(0.22e2), SC_(0.425965175292651465971486597897325e33) }}, 
+      {{ SC_(0.286e3), SC_(0.25e2), SC_(0.561508034879773671402684888107554506e36) }}, 
+      {{ SC_(0.308e3), SC_(0.4e1), SC_(0.367704645e9) }}, 
+      {{ SC_(0.308e3), SC_(0.5e1), SC_(0.22356442416e11) }}, 
+      {{ SC_(0.308e3), SC_(0.6e1), SC_(0.1129000342008e13) }}, 
+      {{ SC_(0.308e3), SC_(0.8e1), SC_(0.1832649805164486e16) }}, 
+      {{ SC_(0.308e3), SC_(0.9e1), SC_(0.610883268388162e17) }}, 
+      {{ SC_(0.308e3), SC_(0.11e2), SC_(0.4948265543629273684e20) }}, 
+      {{ SC_(0.308e3), SC_(0.13e2), SC_(0.2788537951740619923768e23) }}, 
+      {{ SC_(0.308e3), SC_(0.22e2), SC_(0.231085830083090590416670728502104e34) }}, 
+      {{ SC_(0.308e3), SC_(0.25e2), SC_(0.3876354280333804915261626106361337072e37) }}, 
+      {{ SC_(0.353e3), SC_(0.4e1), SC_(0.6360354e9) }}, 
+      {{ SC_(0.353e3), SC_(0.5e1), SC_(0.4439527092e11) }}, 
+      {{ SC_(0.353e3), SC_(0.6e1), SC_(0.257492571336e13) }}, 
+      {{ SC_(0.353e3), SC_(0.8e1), SC_(0.552054876781122e16) }}, 
+      {{ SC_(0.353e3), SC_(0.9e1), SC_(0.2116210360994301e18) }}, 
+      {{ SC_(0.353e3), SC_(0.11e2), SC_(0.22699626628585414872e21) }}, 
+      {{ SC_(0.353e3), SC_(0.13e2), SC_(0.16969717029992873417964e24) }}, 
+      {{ SC_(0.353e3), SC_(0.22e2), SC_(0.5130106833626650018875548966208696e35) }}, 
+      {{ SC_(0.353e3), SC_(0.25e2), SC_(0.133593446626656394879582879903973231364e39) }}, 
+      {{ SC_(0.358e3), SC_(0.4e1), SC_(0.673005095e9) }}, 
+      {{ SC_(0.358e3), SC_(0.5e1), SC_(0.47648760726e11) }}, 
+      {{ SC_(0.358e3), SC_(0.6e1), SC_(0.2803335422713e13) }}, 
+      {{ SC_(0.358e3), SC_(0.8e1), SC_(0.6184958895482796e16) }}, 
+      {{ SC_(0.358e3), SC_(0.9e1), SC_(0.2405261792687754e18) }}, 
+      {{ SC_(0.358e3), SC_(0.11e2), SC_(0.26556714113228463528e21) }}, 
+      {{ SC_(0.358e3), SC_(0.13e2), SC_(0.20438796217066896077556e24) }}, 
+      {{ SC_(0.358e3), SC_(0.22e2), SC_(0.7057427033366990358417620413368873e35) }}, 
+      {{ SC_(0.358e3), SC_(0.25e2), SC_(0.192263950446748795075597663873492257384e39) }}, 
+      {{ SC_(0.376e3), SC_(0.4e1), SC_(0.81957425e9) }}, 
+      {{ SC_(0.376e3), SC_(0.5e1), SC_(0.609763242e11) }}, 
+      {{ SC_(0.376e3), SC_(0.6e1), SC_(0.37703693797e13) }}, 
+      {{ SC_(0.376e3), SC_(0.8e1), SC_(0.9192295203757875e16) }}, 
+      {{ SC_(0.376e3), SC_(0.9e1), SC_(0.375862737220322e18) }}, 
+      {{ SC_(0.376e3), SC_(0.11e2), SC_(0.4589694053537099244e21) }}, 
+      {{ SC_(0.376e3), SC_(0.13e2), SC_(0.390888943559576285614e24) }}, 
+      {{ SC_(0.376e3), SC_(0.22e2), SC_(0.2144450623649450847150905469935555e36) }}, 
+      {{ SC_(0.376e3), SC_(0.372e3), SC_(0.81957425e9) }}, 
+      {{ SC_(0.376e3), SC_(0.373e3), SC_(0.8789e7) }}, 
+      {{ SC_(0.376e3), SC_(0.374e3), SC_(0.705e5) }}, 
+      {{ SC_(0.376e3), SC_(0.375e3), SC_(0.376e3) }}, 
+      {{ SC_(0.376e3), SC_(0.376e3), SC_(0.1e1) }}, 
+      {{ SC_(0.378e3), SC_(0.4e1), SC_(0.83722275e9) }}, 
+      {{ SC_(0.378e3), SC_(0.5e1), SC_(0.626242617e11) }}, 
+      {{ SC_(0.378e3), SC_(0.6e1), SC_(0.389314160235e13) }}, 
+      {{ SC_(0.378e3), SC_(0.8e1), SC_(0.9594647478991575e16) }}, 
+      {{ SC_(0.378e3), SC_(0.9e1), SC_(0.39444661858076475e18) }}, 
+      {{ SC_(0.378e3), SC_(0.11e2), SC_(0.4869335930029018812e21) }}, 
+      {{ SC_(0.378e3), SC_(0.13e2), SC_(0.4192685517906140159394e24) }}, 
+      {{ SC_(0.378e3), SC_(0.22e2), SC_(0.24180810300189004781143134586060785e36) }}, 
+      {{ SC_(0.378e3), SC_(0.372e3), SC_(0.389314160235e13) }}, 
+      {{ SC_(0.378e3), SC_(0.373e3), SC_(0.626242617e11) }}, 
+      {{ SC_(0.378e3), SC_(0.374e3), SC_(0.83722275e9) }}, 
+      {{ SC_(0.378e3), SC_(0.375e3), SC_(0.8930376e7) }}, 
+      {{ SC_(0.378e3), SC_(0.376e3), SC_(0.71253e5) }}, 
+      {{ SC_(0.378e3), SC_(0.378e3), SC_(0.1e1) }}, 
+      {{ SC_(0.389e3), SC_(0.4e1), SC_(0.939438501e9) }}, 
+      {{ SC_(0.389e3), SC_(0.5e1), SC_(0.72336764577e11) }}, 
+      {{ SC_(0.389e3), SC_(0.6e1), SC_(0.4629552932928e13) }}, 
+      {{ SC_(0.389e3), SC_(0.8e1), SC_(0.12095203060802928e17) }}, 
+      {{ SC_(0.389e3), SC_(0.9e1), SC_(0.512030262907323952e18) }}, 
+      {{ SC_(0.389e3), SC_(0.11e2), SC_(0.670387258762843596064e21) }}, 
+      {{ SC_(0.389e3), SC_(0.13e2), SC_(0.612398760879857625004464e24) }}, 
+      {{ SC_(0.389e3), SC_(0.22e2), SC_(0.4627435055579525047225070723215824e36) }}, 
+      {{ SC_(0.389e3), SC_(0.372e3), SC_(0.2108849811550582576133675754e30) }}, 
+      {{ SC_(0.389e3), SC_(0.373e3), SC_(0.96113798381661940467218466e28) }}, 
+      {{ SC_(0.389e3), SC_(0.374e3), SC_(0.4111820251621901196458544e27) }}, 
+      {{ SC_(0.389e3), SC_(0.375e3), SC_(0.16447281006487604785834176e26) }}, 
+      {{ SC_(0.389e3), SC_(0.376e3), SC_(0.612398760879857625004464e24) }}, 
+      {{ SC_(0.389e3), SC_(0.378e3), SC_(0.670387258762843596064e21) }}, 
+      {{ SC_(0.389e3), SC_(0.379e3), SC_(0.19457149990478310176e20) }}, 
+      {{ SC_(0.389e3), SC_(0.386e3), SC_(0.9735114e7) }}, 
+      {{ SC_(0.389e3), SC_(0.388e3), SC_(0.389e3) }}, 
+      {{ SC_(0.391e3), SC_(0.4e1), SC_(0.958984195e9) }}, 
+      {{ SC_(0.391e3), SC_(0.5e1), SC_(0.74225376693e11) }}, 
+      {{ SC_(0.391e3), SC_(0.6e1), SC_(0.4775165900583e13) }}, 
+      {{ SC_(0.391e3), SC_(0.8e1), SC_(0.1260643797753912e17) }}, 
+      {{ SC_(0.391e3), SC_(0.9e1), SC_(0.53647397171083144e18) }}, 
+      {{ SC_(0.391e3), SC_(0.11e2), SC_(0.709813589006707540368e21) }}, 
+      {{ SC_(0.391e3), SC_(0.13e2), SC_(0.65530354544067961515256e24) }}, 
+      {{ SC_(0.391e3), SC_(0.22e2), SC_(0.519645908172294225323547068003403e36) }}, 
+      {{ SC_(0.391e3), SC_(0.372e3), SC_(0.94028803439575537144626963663e32) }}, 
+      {{ SC_(0.391e3), SC_(0.373e3), SC_(0.4789670952686153366616386889e31) }}, 
+      {{ SC_(0.391e3), SC_(0.374e3), SC_(0.230518922856552835826457123e30) }}, 
+      {{ SC_(0.391e3), SC_(0.375e3), SC_(0.10450191169497061890799389576e29) }}, 
+      {{ SC_(0.391e3), SC_(0.376e3), SC_(0.444688985936045186842527216e27) }}, 
+      {{ SC_(0.391e3), SC_(0.378e3), SC_(0.65530354544067961515256e24) }}, 
+      {{ SC_(0.391e3), SC_(0.379e3), SC_(0.2247743031854573877832e23) }}, 
+      {{ SC_(0.391e3), SC_(0.386e3), SC_(0.74225376693e11) }}, 
+      {{ SC_(0.391e3), SC_(0.388e3), SC_(0.9886435e7) }}, 
+      {{ SC_(0.392e3), SC_(0.4e1), SC_(0.96887063e9) }}, 
+      {{ SC_(0.392e3), SC_(0.5e1), SC_(0.75184360888e11) }}, 
+      {{ SC_(0.392e3), SC_(0.6e1), SC_(0.4849391277276e13) }}, 
+      {{ SC_(0.392e3), SC_(0.8e1), SC_(0.12869072102071185e17) }}, 
+      {{ SC_(0.392e3), SC_(0.9e1), SC_(0.54908040968837056e18) }}, 
+      {{ SC_(0.392e3), SC_(0.11e2), SC_(0.730306894726061301376e21) }}, 
+      {{ SC_(0.392e3), SC_(0.13e2), SC_(0.67778097575922535393088e24) }}, 
+      {{ SC_(0.392e3), SC_(0.22e2), SC_(0.5505437729825387468292714882630648e36) }}, 
+      {{ SC_(0.392e3), SC_(0.372e3), SC_(0.18429645474156805280346884877948e34) }}, 
+      {{ SC_(0.392e3), SC_(0.373e3), SC_(0.98818474392261690511243350552e32) }}, 
+      {{ SC_(0.392e3), SC_(0.374e3), SC_(0.5020189875542706202442844012e31) }}, 
+      {{ SC_(0.392e3), SC_(0.375e3), SC_(0.240969114026049897717256512576e30) }}, 
+      {{ SC_(0.392e3), SC_(0.376e3), SC_(0.10894880155433107077641916792e29) }}, 
+      {{ SC_(0.392e3), SC_(0.378e3), SC_(0.1834849927233902922427168e26) }}, 
+      {{ SC_(0.392e3), SC_(0.379e3), SC_(0.67778097575922535393088e24) }}, 
+      {{ SC_(0.392e3), SC_(0.386e3), SC_(0.4849391277276e13) }}, 
+      {{ SC_(0.392e3), SC_(0.388e3), SC_(0.96887063e9) }}, 
+      {{ SC_(0.398e3), SC_(0.4e1), SC_(0.1029804105e10) }}, 
+      {{ SC_(0.398e3), SC_(0.5e1), SC_(0.81148563474e11) }}, 
+      {{ SC_(0.398e3), SC_(0.6e1), SC_(0.5315230907547e13) }}, 
+      {{ SC_(0.398e3), SC_(0.8e1), SC_(0.14547786993956139e17) }}, 
+      {{ SC_(0.398e3), SC_(0.9e1), SC_(0.63040410307143269e18) }}, 
+      {{ SC_(0.398e3), SC_(0.11e2), SC_(0.864983200770704352428e21) }}, 
+      {{ SC_(0.398e3), SC_(0.13e2), SC_(0.828287951907239471630766e24) }}, 
+      {{ SC_(0.398e3), SC_(0.22e2), SC_(0.776122173564640399865233597134960648e36) }}, 
+      {{ SC_(0.398e3), SC_(0.374e3), SC_(0.198248598682272276052532494920343209e39) }}, 
+      {{ SC_(0.398e3), SC_(0.375e3), SC_(0.12687910315665425667362079674901965376e38) }}, 
+      {{ SC_(0.398e3), SC_(0.376e3), SC_(0.776122173564640399865233597134960648e36) }}, 
+      {{ SC_(0.398e3), SC_(0.378e3), SC_(0.2516163840026833008699548944439896e34) }}, 
+      {{ SC_(0.398e3), SC_(0.379e3), SC_(0.13277909446051889227965957490448e33) }}, 
+      {{ SC_(0.398e3), SC_(0.386e3), SC_(0.27895708224855215365803e23) }}, 
+      {{ SC_(0.398e3), SC_(0.388e3), SC_(0.24522719609478731641e20) }}, 
+      {{ SC_(0.398e3), SC_(0.394e3), SC_(0.1029804105e10) }}, 
+      {{ SC_(0.398e3), SC_(0.395e3), SC_(0.10428396e8) }}, 
+      {{ SC_(0.398e3), SC_(0.397e3), SC_(0.398e3) }}, 
+      {{ SC_(0.398e3), SC_(0.398e3), SC_(0.1e1) }}, 
+      {{ SC_(0.399e3), SC_(0.4e1), SC_(0.1040232501e10) }}, 
+      {{ SC_(0.399e3), SC_(0.5e1), SC_(0.82178367579e11) }}, 
+      {{ SC_(0.399e3), SC_(0.6e1), SC_(0.5396379471021e13) }}, 
+      {{ SC_(0.399e3), SC_(0.8e1), SC_(0.14845439924778771e17) }}, 
+      {{ SC_(0.399e3), SC_(0.9e1), SC_(0.644951890065388829e18) }}, 
+      {{ SC_(0.399e3), SC_(0.11e2), SC_(0.889505920380183084069e21) }}, 
+      {{ SC_(0.399e3), SC_(0.13e2), SC_(0.856183660132094686996569e24) }}, 
+      {{ SC_(0.399e3), SC_(0.22e2), SC_(0.821413122685123394021825478134878776e36) }}, 
+      {{ SC_(0.399e3), SC_(0.375e3), SC_(0.210936508997937701719894574595245174376e39) }}, 
+      {{ SC_(0.399e3), SC_(0.376e3), SC_(0.13464032489230066067227313272036926024e38) }}, 
+      {{ SC_(0.399e3), SC_(0.378e3), SC_(0.47807112960509827165291429944358024e35) }}, 
+      {{ SC_(0.399e3), SC_(0.379e3), SC_(0.2648942934487351900979208519344376e34) }}, 
+      {{ SC_(0.399e3), SC_(0.386e3), SC_(0.856183660132094686996569e24) }}, 
+      {{ SC_(0.399e3), SC_(0.388e3), SC_(0.889505920380183084069e21) }}, 
+      {{ SC_(0.399e3), SC_(0.394e3), SC_(0.82178367579e11) }}, 
+      {{ SC_(0.399e3), SC_(0.395e3), SC_(0.1040232501e10) }}, 
+      {{ SC_(0.399e3), SC_(0.397e3), SC_(0.79401e5) }}, 
+      {{ SC_(0.399e3), SC_(0.398e3), SC_(0.399e3) }}, 
+      {{ SC_(0.399e3), SC_(0.399e3), SC_(0.1e1) }}
+   } };
+
diff --git a/src/boost/libs/math/test/binomial_quantile.ipp b/src/boost/libs/math/test/binomial_quantile.ipp
new file mode 100644
index 000000000..86f0c9a5b
--- /dev/null
+++ b/src/boost/libs/math/test/binomial_quantile.ipp
@@ -0,0 +1,4042 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<T, 5>, 4032> binomial_quantile_data = {{
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.28467385230321224203411154382440248724380832183117) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.25727865882740919932840773421531232758964168093055) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.22103404998779296875), SC_(0.0), SC_(0.035694410305790976496105074803969225386555435216338) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(0.11873939407970113038114981488058971337236924303007), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(0.17128223695871555977493584741313475336874139582588), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(0.40618092349808500975883593147831009145063213747834), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.9133758544921875), SC_(0.43899397179953045991755739555886582435275603281127), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(0.799870552103486022724664124290614736962329408812), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.31872738789970909485536768848150766202976148899251) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.29102994230646182726533783572628827290811626372966) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.22103404998779296875), SC_(0.0), SC_(0.066564891771854913273348344758795546234545331752506) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(0.15078204185386621729912132630692143434650445884609), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(0.20400864316514337235281173322687950297863712869268), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(0.44143516661223776441613153671576118711196945856282), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.9133758544921875), SC_(0.47453330316861439745293287393350226948540566881404), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(0.83739716340650425258932397703845268032687863038399), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.62037836131298603609519052823209625564881710064378) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.59093627733744182629509254823619511720015775666619) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.22103404998779296875), SC_(0.0), SC_(0.34807449373182945948809948184050473370388203786438) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.814723670482635498046875), SC_(0.44009477935063047177182669621147331809907557267519), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.835008561611175537109375), SC_(0.49769020155560349641877333505982794296467077593034), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.905791938304901123046875), SC_(0.74944500698304949182235362474586290610889103220154), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.9133758544921875), SC_(0.78387321971706370473245717801953625642542459567953), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.22103404998779296875), SC_(0.968867778778076171875), SC_(1.1498981366557770839693825192073836593340168170678), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(0.49788422454509726888212532584283407165868239438731), SC_(1.7926192943764322245525372122405254834085320140091) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(0.52684446645645143763351083479730514213286478982046), SC_(1.7800376961833357223696231469588443580528305056426) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.22103404998779296875), SC_(0.76404470698225093423433928273194254681576983826729), SC_(1.6575789550348265198775169987571194771809264616601) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.814723670482635498046875), SC_(1.7079778135930259197017395920782252633535682554395), SC_(0.67451997209260747234500120079260379985847433758707) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.835008561611175537109375), SC_(1.7370140616146297876215882640682879489503844226303), SC_(0.61826978524366906854726038797379514512007309468525) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.905791938304901123046875), SC_(1.8422676954366467819691658272374144020837995309592), SC_(0.37038562663058272269915604803279695742811766811068) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.9133758544921875), SC_(1.8540370189939540680880864847938744361486513005951), SC_(0.33622087984946386620856678308455255506401496039699) }}, 
+      {{ SC_(2.0), SC_(0.814723670482635498046875), SC_(0.968867778778076171875), SC_(1.9445446166763026262975190991518462099527425413065), SC_(0.0) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.12698681652545928955078125), SC_(0.56958071116299011326336908222173795424895818167301), SC_(1.8137304876186701320041037003716921955178542458777) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.135477006435394287109375), SC_(0.5981209280634265150735741168005063416283431515107), SC_(1.8021715458778761995268427585444094026357861343759) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.22103404998779296875), SC_(0.83090525438122511558400411768603959990549654637303), SC_(1.6886385783899505992169862804407221877862974299577) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(1.7355710512108993168349123864726150726576737171558), SC_(0.74325147999645043591309459835699081406440836189148) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(1.7624843207443737418084928974357752849439279812566), SC_(0.68804994566426817141775845555990924647720468985401) }}, 
+      {{ SC_(2.0), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(1.8591104224011548582974193339913952604895234253212), SC_(0.44361740870722582924969757610991167298608216875062) }}, 
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+      {{ SC_(454.0), SC_(0.968867778778076171875), SC_(0.9133758544921875), SC_(444.25347660462523729937210322189190593878879010883), SC_(434.21024133918857079374139266334607832906456259311) }}, 
+      {{ SC_(454.0), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(445.83735789586960269055530301889652492784711953887), SC_(432.11303992141923665475325840269186459012467057114) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(50.04584847331995562483275393325660419320694355323), SC_(66.364823634141754354687198302351675136965126290634) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(50.319742931767346006301600485139851271085467378734), SC_(66.06864816787209687343950334566141248784987616893) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.22103404998779296875), SC_(52.617188846987702707400514616575488811782447893531), SC_(63.616484523732817823774559390847729125667522096645) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(64.549004351923416572959996952805376987324385384544), SC_(51.737203570256832198664494618373278591569233958485) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(65.130077217909160211336367306936535626323886222689), SC_(51.192792213689340783250166225037111774388170370382) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(67.665260544532309474320200503574452874539227729732), SC_(48.852266259282523771985777476676041562048252008723) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.9133758544921875), SC_(68.013388330367306251000688720114637847988999563299), SC_(48.535219685292496706664865041258838310315124444267) }}, 
+      {{ SC_(462.0), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(71.802540055421868170346684697572743253217029569524), SC_(45.150692977330678624468025972292740141400736443319) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(53.739795171222854539802098334928827183778178234774), SC_(70.514112790470495113367692848183326665903474182075) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(54.021908304151288114318535953257101991256018663137), SC_(70.210228200197934082971211057716971043126861028263) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.22103404998779296875), SC_(56.387433823936690833244464396145242776633499077766), SC_(67.693520675373405004474010232492611258429808283056) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(68.650737972587943016782286766131513932714835755564), SC_(55.481551020151500107128929845791794669646015535119) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(69.247105190815425587192453376085891492117810757824), SC_(54.921007540176788098869374790341778693551504833492) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(71.848183299959923271385148904301669635848906778566), SC_(52.510134373004159485314341368383765088809751258824) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.9133758544921875), SC_(72.205255990937807491501326387765126674760451036753), SC_(52.183431308470588357470614266264042994621119089194) }}, 
+      {{ SC_(462.0), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(76.09021079023541008927650189975220767318323211873), SC_(48.693821115055950415866389131356912362436163992595) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.12698681652545928955078125), SC_(91.473890238455393922742272332918884569797011865451), SC_(111.81757327733425401312252686514606931564223516256) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.135477006435394287109375), SC_(91.820983099472539415515469227537429195455462137458), SC_(111.45382939810889865252685270988496922566292975343) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.22103404998779296875), SC_(94.724051968408192819921075770463769644815737250003), SC_(108.43512406972868279073171724673082414866727440413) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.814723670482635498046875), SC_(109.58460286018467659577340155079212172063994505968), SC_(93.613840186544673407397105108894081249299802991432) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.835008561611175537109375), SC_(110.29992385651988045247881502965037115365674382973), SC_(92.925920330649254578037662130581103523508857087667) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.905791938304901123046875), SC_(113.41254669803691235369926635444417693728356224189), SC_(89.958764785945043196999745612095002613403353240766) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.9133758544921875), SC_(113.8389369510853615165327351484589424506726480099), SC_(89.555598155398217252937943809693281297647221956114) }}, 
+      {{ SC_(462.0), SC_(0.22103404998779296875), SC_(0.968867778778076171875), SC_(118.46441618276542283999156428593171000508403703773), SC_(85.232366617435603858727915292447303108879448558759) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(366.34737420545874442238221115291633974255551979091), SC_(385.39412347147842949069932878055960066545995779033) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(366.68950826720375537056067073635745094610807175144), SC_(385.07077828654809305974170276374350293065208267136) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.22103404998779296875), SC_(369.52678242708776628742959218778979998428825207247), SC_(382.36398368087413929821491434486112552834726684396) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.814723670482635498046875), SC_(383.39962627958838708488965344732287579600932141899), SC_(368.44683323291813379944568666580592072576455888311) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.835008561611175537109375), SC_(384.04103690353672291842299000701987459315148906768), SC_(367.77450432313584002403003049241276891691689337133) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.905791938304901123046875), SC_(386.80486880129491568765070057261717752595099504027), SC_(364.84652718705696461209218261146300999977406338047) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.9133758544921875), SC_(387.18006196770118088836897502089709358059882204361), SC_(364.44512754037228506136735492102500419868025189395) }}, 
+      {{ SC_(462.0), SC_(0.814723670482635498046875), SC_(0.968867778778076171875), SC_(391.1979372388894667313317488436941468297856338792), SC_(360.08615952790907327852939271832934339967258884367) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.12698681652545928955078125), SC_(376.14277892061017849266775901808505747312225934913), SC_(394.33789120042478975215523077546862132662147940277) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.135477006435394287109375), SC_(376.47062701059669499387868529275643470509113751059), SC_(394.03004590676159627740764045030348480565576709442) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.22103404998779296875), SC_(379.18809995995613471328554800138413075452476668576), SC_(391.45147951758687874169405809424639185125272456402) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(392.43837928481028126646073601917700733527343373877), SC_(378.15403266219698379771114242082032368969242437767) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(393.0494049218549429851402512675154900185236854482), SC_(377.51009193924422812717110873059467516599044508596) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(395.68054520295444541561872495346098157216590762668), SC_(374.7042003492121975403116531525070739928849275944) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.9133758544921875), SC_(396.03750015577938107018070400739144079347599034163), SC_(374.31934482163543166773732423558235755036350427585) }}, 
+      {{ SC_(462.0), SC_(0.835008561611175537109375), SC_(0.968867778778076171875), SC_(399.85655233600266888086901662617538469166965290174), SC_(370.13713023266072785880996336774329538400032584841) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.12698681652545928955078125), SC_(410.77841779603348299009132062991806834191114132292), SC_(425.09192836850669467964774217200606567091489385596) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.135477006435394287109375), SC_(411.04050019870873412928204791009626631793165778548), SC_(424.85409990428803893880371527354629061091777136208) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.22103404998779296875), SC_(413.20743037050376397313177889683126115801350031291), SC_(422.85557132516048428686099311119423735829582532068) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.814723670482635498046875), SC_(423.62181315216437335232445710883865624489575861881), SC_(412.384010755884455878159061159658137846137080341) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.835008561611175537109375), SC_(424.09539327494980230925529034323151094008499154172), SC_(411.87052691167998064749135957293786099905640575261) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.905791938304901123046875), SC_(426.12723517699196060712792921408370314767680064867), SC_(409.62678643346206726187796520740152524187070973137) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.9133758544921875), SC_(426.4019321011556842693438692165731311536954876857), SC_(409.31825123167004990102031796718648244988746090145) }}, 
+      {{ SC_(462.0), SC_(0.905791938304901123046875), SC_(0.968867778778076171875), SC_(429.32593469528266849431422550896091856464531454781), SC_(405.95362577891838024646713447954699109277704571247) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.12698681652545928955078125), SC_(414.54749317241684103166151201044157289557560066664), SC_(428.32887976389006323958081567847829759072678046843) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.135477006435394287109375), SC_(414.80049552840271675364275050243742214362718825342), SC_(428.10058981763657174736653663422610344943505276056) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.22103404998779296875), SC_(416.89150989421192572249673797944131156939052148208), SC_(426.18115473504837209951197968533905334246040854066) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.814723670482635498046875), SC_(426.91729194717382243189697410571951485038139257899), SC_(416.09711705955833706875763226722903633636646325407) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.835008561611175537109375), SC_(427.37213017802529379127292358079248928283540824397), SC_(415.60162223352377968657825664449093045486831839776) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.905791938304901123046875), SC_(429.3223377515598904641695530576862301200922783231), SC_(413.4355089091988924882925074231621936947576819029) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.9133758544921875), SC_(429.5858401370714466977766917756196697426616416387), SC_(413.13752688833461862829157641357569678006403754388) }}, 
+      {{ SC_(462.0), SC_(0.9133758544921875), SC_(0.968867778778076171875), SC_(432.38818207988393867668921543142972096521280530344), SC_(409.88617366468320542592944593518289804952858533401) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.12698681652545928955078125), SC_(442.82393191141749173724816325072326820230463861198), SC_(451.31614712317827841869644152156836743662631399408) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.135477006435394287109375), SC_(442.98606274891854929687497244464980968557637066531), SC_(451.1821745050413112505324438707834719314419238511) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.22103404998779296875), SC_(444.31831042243092829560186140968343282457861353281), SC_(450.04528422783410389071851518631959672024544710996) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.814723670482635498046875), SC_(450.48346315283352091572919321540490887699874734837), SC_(443.81383106654679638874061205590535899657992881982) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.835008561611175537109375), SC_(450.75287287219138398255983761247801341317357905199), SC_(443.49813299555706441752047724189621951549274423869) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.905791938304901123046875), SC_(451.89591732812948291460872123812941435040707992501), SC_(442.10903364493891816867430327722153866406411695147) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.9133758544921875), SC_(452.0487864202684433692288504005674021335799201021), SC_(441.91683192409503729874122861358957872208941993018) }}, 
+      {{ SC_(462.0), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(453.64921455609407364749407038846093208870919124129), SC_(439.80319758393201038757522213012342652322688527575) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/bivariate_statistics_test.cpp b/src/boost/libs/math/test/bivariate_statistics_test.cpp
new file mode 100644
index 000000000..82feeb727
--- /dev/null
+++ b/src/boost/libs/math/test/bivariate_statistics_test.cpp
@@ -0,0 +1,170 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <iostream>
+#include <iomanip>
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/math/statistics/bivariate_statistics.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ */
+
+using  boost::math::statistics::means_and_covariance;
+using  boost::math::statistics::covariance;
+
+template<class Real>
+void test_covariance()
+{
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10+1);
+    Real tol = std::numeric_limits<Real>::epsilon();
+    using std::abs;
+
+    // Covariance of a single thing is zero:
+    std::array<Real, 1> u1{8};
+    std::array<Real, 1> v1{17};
+    auto [mu_u1, mu_v1, cov1] = means_and_covariance(u1, v1);
+
+    BOOST_TEST(abs(cov1) < tol);
+    BOOST_TEST(abs(mu_u1 - 8) < tol);
+    BOOST_TEST(abs(mu_v1 - 17) < tol);
+
+
+    std::array<Real, 2> u2{8, 4};
+    std::array<Real, 2> v2{3, 7};
+    auto [mu_u2, mu_v2, cov2] = means_and_covariance(u2, v2);
+
+    BOOST_TEST(abs(cov2+4) < tol);
+    BOOST_TEST(abs(mu_u2 - 6) < tol);
+    BOOST_TEST(abs(mu_v2 - 5) < tol);
+
+    std::vector<Real> u3{1,2,3};
+    std::vector<Real> v3{1,1,1};
+
+    auto [mu_u3, mu_v3, cov3] = means_and_covariance(u3, v3);
+
+    // Since v is constant, covariance(u,v) = 0 against everything any u:
+    BOOST_TEST(abs(cov3) < tol);
+    BOOST_TEST(abs(mu_u3 - 2) < tol);
+    BOOST_TEST(abs(mu_v3 - 1) < tol);
+    // Make sure we pull the correct symbol out of means_and_covariance:
+    cov3 = covariance(u3, v3);
+    BOOST_TEST(abs(cov3) < tol);
+
+    cov3 = covariance(v3, u3);
+    // Covariance is symmetric: cov(u,v) = cov(v,u)
+    BOOST_TEST(abs(cov3) < tol);
+
+    // cov(u,u) = sigma(u)^2:
+    cov3 = covariance(u3, u3);
+    Real expected = Real(2)/Real(3);
+
+    BOOST_TEST(abs(cov3 - expected) < tol);
+
+    std::mt19937 gen(15);
+    // Can't template standard library on multiprecision, so use double and cast back:
+    std::uniform_real_distribution<double> dis(-1.0, 1.0);
+    std::vector<Real> u(500);
+    std::vector<Real> v(500);
+    for(size_t i = 0; i < u.size(); ++i)
+    {
+        u[i] = (Real) dis(gen);
+        v[i] = (Real) dis(gen);
+    }
+
+    Real mu_u = boost::math::statistics::mean(u);
+    Real mu_v = boost::math::statistics::mean(v);
+    Real sigma_u_sq = boost::math::statistics::variance(u);
+    Real sigma_v_sq = boost::math::statistics::variance(v);
+
+    auto [mu_u_, mu_v_, cov_uv] = means_and_covariance(u, v);
+    BOOST_TEST(abs(mu_u - mu_u_) < tol);
+    BOOST_TEST(abs(mu_v - mu_v_) < tol);
+
+    // Cauchy-Schwartz inequality:
+    BOOST_TEST(cov_uv*cov_uv <= sigma_u_sq*sigma_v_sq);
+    // cov(X, X) = sigma(X)^2:
+    Real cov_uu = covariance(u, u);
+    BOOST_TEST(abs(cov_uu - sigma_u_sq) < tol);
+    Real cov_vv = covariance(v, v);
+    BOOST_TEST(abs(cov_vv - sigma_v_sq) < tol);
+
+}
+
+template<class Real>
+void test_correlation_coefficient()
+{
+    using boost::math::statistics::correlation_coefficient;
+
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> u{1};
+    std::vector<Real> v{1};
+    Real rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv - 1) < tol);
+
+    u = {1,1};
+    v = {1,1};
+    rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv - 1) < tol);
+
+    u = {1, 2, 3};
+    v = {1, 2, 3};
+    rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv - 1) < tol);
+
+    u = {1, 2, 3};
+    v = {-1, -2, -3};
+    rho_uv = correlation_coefficient(u, v);
+    BOOST_TEST(abs(rho_uv + 1) < tol);
+
+    rho_uv = correlation_coefficient(v, u);
+    BOOST_TEST(abs(rho_uv + 1) < tol);
+
+    u = {1, 2, 3};
+    v = {0, 0, 0};
+    rho_uv = correlation_coefficient(v, u);
+    BOOST_TEST(abs(rho_uv) < tol);
+
+    u = {1, 2, 3};
+    v = {0, 0, 3};
+    rho_uv = correlation_coefficient(v, u);
+    // mu_u = 2, sigma_u^2 = 2/3, mu_v = 1, sigma_v^2 = 2, cov(u,v) = 1.
+    BOOST_TEST(abs(rho_uv - sqrt(Real(3))/Real(2)) < tol);
+}
+
+int main()
+{
+    test_covariance<float>();
+    test_covariance<double>();
+    test_covariance<long double>();
+    test_covariance<cpp_bin_float_50>();
+
+    test_correlation_coefficient<float>();
+    test_correlation_coefficient<double>();
+    test_correlation_coefficient<long double>();
+    test_correlation_coefficient<cpp_bin_float_50>();
+
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_b_spline_test.cpp
new file mode 100644
index 000000000..0ec92cc95
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_b_spline_test.cpp
@@ -0,0 +1,290 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <cmath>
+#include <boost/math/special_functions/cardinal_b_spline.hpp>
+#include <boost/math/interpolators/detail/cubic_b_spline_detail.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using std::abs;
+using boost::math::cardinal_b_spline;
+using boost::math::cardinal_b_spline_prime;
+using boost::math::forward_cardinal_b_spline;
+using boost::math::cardinal_b_spline_double_prime;
+
+
+template<class Real>
+void test_box()
+{
+    Real t = cardinal_b_spline<0>(Real(1.1));
+    Real expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+    CHECK_ULP_CLOSE(expected, cardinal_b_spline_prime<0>(Real(1.1)), 0);
+
+    t = cardinal_b_spline<0>(Real(-1.1));
+    expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+
+    Real h = Real(1)/Real(256);
+    for (t = -Real(1)/Real(2)+h; t < Real(1)/Real(2); t += h)
+    {
+        expected = 1;
+        CHECK_ULP_CLOSE(expected, cardinal_b_spline<0>(t), 0);
+        expected = 0;
+        CHECK_ULP_CLOSE(expected, cardinal_b_spline_prime<0>(Real(1.1)), 0);
+    }
+
+    for (t = h; t < 1; t += h)
+    {
+        expected = 1;
+        CHECK_ULP_CLOSE(expected, forward_cardinal_b_spline<0>(t), 0);
+    }
+}
+
+template<class Real>
+void test_hat()
+{
+    Real t = cardinal_b_spline<1>(Real(2.1));
+    Real expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+
+    t = cardinal_b_spline<1>(Real(-2.1));
+    expected = 0;
+    CHECK_ULP_CLOSE(expected, t, 0);
+
+    Real h = Real(1)/Real(256);
+    for (t = -1; t <= 1; t += h)
+    {
+        expected = 1-abs(t);
+        if(!CHECK_ULP_CLOSE(expected, cardinal_b_spline<1>(t), 0) )
+        {
+            std::cerr << "  Problem at t = " << t << "\n";
+        }
+        if (t == -Real(1)) {
+            if (!CHECK_ULP_CLOSE(Real(1)/Real(2), cardinal_b_spline_prime<1>(t), 0)) {
+                std::cout << "  Problem at t = " << t << "\n";
+            }
+        }
+        else if (t == Real(1)) {
+            CHECK_ULP_CLOSE(-Real(1)/Real(2), cardinal_b_spline_prime<1>(t), 0);
+        }
+        else if (t < 0) {
+            CHECK_ULP_CLOSE(Real(1), cardinal_b_spline_prime<1>(t), 0);
+        }
+        else if (t == 0) {
+            CHECK_ULP_CLOSE(Real(0), cardinal_b_spline_prime<1>(t), 0);
+        }
+        else if (t > 0) {
+            CHECK_ULP_CLOSE(Real(-1), cardinal_b_spline_prime<1>(t), 0);
+        }
+    }
+
+    for (t = 0; t < 2; t += h)
+    {
+        expected = 1 - abs(t-1);
+        CHECK_ULP_CLOSE(expected, forward_cardinal_b_spline<1>(t), 0);
+    }
+}
+
+template<class Real>
+void test_quadratic()
+{
+    using std::abs;
+    auto b2 = [](Real x) {
+        Real absx = abs(x);
+        if (absx >= 3/Real(2)) {
+            return Real(0);
+        }
+        if (absx >= 1/Real(2)) {
+            Real t = absx - 3/Real(2);
+            return t*t/2;
+        }
+        Real t1 = absx - 1/Real(2);
+        Real t2 = absx + 1/Real(2);
+        return (2-t1*t1 -t2*t2)/2;
+    };
+
+    auto b2_prime = [&](Real x)->Real {
+        Real absx = abs(x);
+        Real signx  = 1;
+        if (x < 0) {
+            signx = -1;
+        }
+        if (absx >= 3/Real(2)) {
+            return Real(0);
+        }
+        if (absx >= 1/Real(2)) {
+            return (absx - 3/Real(2))*signx;
+        }
+        return -2*absx*signx;
+    };
+
+
+    Real h = 1/Real(256);
+    for (Real t = -5; t <= 5; t += h) {
+        Real expected = b2(t);
+        CHECK_ULP_CLOSE(expected, cardinal_b_spline<2>(t), 0);
+        expected = b2_prime(t);
+
+        if (!CHECK_ULP_CLOSE(expected, cardinal_b_spline_prime<2>(t), 0))
+        {
+            std::cerr << "  Problem at t = " << t << "\n";
+        }
+
+    }
+}
+
+template<class Real>
+void test_cubic()
+{
+    Real expected = Real(2)/Real(3);
+    Real computed = cardinal_b_spline<3, Real>(0);
+    CHECK_ULP_CLOSE(expected, computed, 0);
+
+    expected = Real(1)/Real(6);
+    computed = cardinal_b_spline<3, Real>(1);
+    CHECK_ULP_CLOSE(expected, computed, 0);
+
+    expected = Real(0);
+    computed = cardinal_b_spline<3, Real>(2);
+    CHECK_ULP_CLOSE(expected, computed, 0);
+
+    Real h = 1/Real(256);
+    for (Real t = -4; t <= 4; t += h) {
+        expected = boost::math::detail::b3_spline_prime<Real>(t);
+        computed = cardinal_b_spline_prime<3>(t);
+        CHECK_ULP_CLOSE(expected, computed, 0);
+        expected = boost::math::detail::b3_spline_double_prime<Real>(t);
+        computed = cardinal_b_spline_double_prime<3>(t);
+        if (!CHECK_ULP_CLOSE(expected, computed, 0)) {
+            std::cerr << "  Problem at t = " << t << "\n";
+        }
+    }
+}
+
+template<class Real>
+void test_quintic()
+{
+  Real expected = Real(11)/Real(20);
+  Real computed = cardinal_b_spline<5, Real>(0);
+  CHECK_ULP_CLOSE(expected, computed, 0);
+
+  expected = Real(13)/Real(60);
+  computed = cardinal_b_spline<5, Real>(1);
+  CHECK_ULP_CLOSE(expected, computed, 1);
+
+  expected = Real(1)/Real(120);
+  computed = cardinal_b_spline<5, Real>(2);
+  CHECK_ULP_CLOSE(expected, computed, 0);
+
+  expected = Real(0);
+  computed = cardinal_b_spline<5, Real>(3);
+  CHECK_ULP_CLOSE(expected, computed, 0);
+
+}
+
+template<unsigned n, typename Real>
+void test_b_spline_derivatives()
+{
+    Real h = 1/Real(256);
+    Real supp = (n+Real(1))/Real(2);
+    for (Real t = -supp - 1; t <= supp+1; t+= h)
+    {
+        Real expected = cardinal_b_spline<n-1>(t+Real(1)/Real(2)) - cardinal_b_spline<n-1>(t - Real(1)/Real(2));
+        Real computed = cardinal_b_spline_prime<n>(t);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, std::numeric_limits<Real>::epsilon());
+
+        expected = cardinal_b_spline<n-2>(t+1) - 2*cardinal_b_spline<n-2>(t) + cardinal_b_spline<n-2>(t-1);
+        computed = cardinal_b_spline_double_prime<n>(t);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, 2*std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<unsigned n, typename Real>
+void test_partition_of_unity()
+{
+  std::mt19937 gen(323723);
+  Real supp = (n+1.0)/2.0;
+  std::uniform_real_distribution<Real> dis(-supp, -supp+1);
+
+  for(size_t i = 0; i < 500; ++i) {
+    Real x = dis(gen);
+    Real one = 0;
+    while (x < supp) {
+        one += cardinal_b_spline<n>(x);
+        x += 1;
+    }
+    if(!CHECK_ULP_CLOSE(Real(1), one, n)) {
+      std::cerr << "  Partition of unity failure at n = " << n << "\n";
+    }
+  }
+}
+
+
+int main()
+{
+    test_box<float>();
+    test_box<double>();
+    test_box<long double>();
+
+    test_hat<float>();
+    test_hat<double>();
+    test_hat<long double>();
+
+    test_quadratic<float>();
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    test_cubic<float>();
+    test_cubic<double>();
+    test_cubic<long double>();
+
+    test_quintic<float>();
+    test_quintic<double>();
+    test_quintic<long double>();
+
+    test_partition_of_unity<1, double>();
+    test_partition_of_unity<2, double>();
+    test_partition_of_unity<3, double>();
+    test_partition_of_unity<4, double>();
+    test_partition_of_unity<5, double>();
+    test_partition_of_unity<6, double>();
+
+    test_b_spline_derivatives<3, double>();
+    test_b_spline_derivatives<4, double>();
+    test_b_spline_derivatives<5, double>();
+    test_b_spline_derivatives<6, double>();
+    test_b_spline_derivatives<7, double>();
+    test_b_spline_derivatives<8, double>();
+    test_b_spline_derivatives<9, double>();
+
+    test_b_spline_derivatives<3, long double>();
+    test_b_spline_derivatives<4, long double>();
+    test_b_spline_derivatives<5, long double>();
+    test_b_spline_derivatives<6, long double>();
+    test_b_spline_derivatives<7, long double>();
+    test_b_spline_derivatives<8, long double>();
+    test_b_spline_derivatives<9, long double>();
+
+
+#ifdef BOOST_HAS_FLOAT128
+    test_box<float128>();
+    test_hat<float128>();
+    test_quadratic<float128>();
+    test_cubic<float128>();
+    test_quintic<float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_cubic_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_cubic_b_spline_test.cpp
new file mode 100644
index 000000000..21daeb4cf
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_cubic_b_spline_test.cpp
@@ -0,0 +1,351 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE test_cubic_b_spline
+
+#include <random>
+#include <functional>
+#include <boost/random/uniform_real_distribution.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/interpolators/cardinal_cubic_b_spline.hpp>
+#include <boost/math/interpolators/detail/cardinal_cubic_b_spline_detail.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+using boost::multiprecision::cpp_bin_float_50;
+using boost::math::constants::third;
+using boost::math::constants::half;
+
+template<class Real>
+void test_b3_spline()
+{
+    std::cout << "Testing evaluation of spline basis functions on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    // Outside the support:
+    Real eps = std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(-2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(-2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_double_prime<Real>(2.5), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_double_prime<Real>(-2.5), (Real) 0);
+
+
+    // On the boundary of support:
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(2), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline<Real>(-2), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(2), (Real) 0);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(-2), (Real) 0);
+
+    // Special values:
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>(-1), third<Real>()*half<Real>(), eps);
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>( 1), third<Real>()*half<Real>(), eps);
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>(0), 2*third<Real>(), eps);
+
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_prime<Real>(-1), half<Real>(), eps);
+    BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_prime<Real>( 1), -half<Real>(), eps);
+    BOOST_CHECK_SMALL(boost::math::interpolators::detail::b3_spline_prime<Real>(0), eps);
+
+    // Properties: B3 is an even function, B3' is an odd function.
+    for (size_t i = 1; i < 200; ++i)
+    {
+        Real arg = i*0.01;
+        BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline<Real>(arg), boost::math::interpolators::detail::b3_spline<Real>(arg), eps);
+        BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_prime<Real>(-arg), -boost::math::interpolators::detail::b3_spline_prime<Real>(arg), eps);
+        BOOST_CHECK_CLOSE(boost::math::interpolators::detail::b3_spline_double_prime<Real>(-arg), boost::math::interpolators::detail::b3_spline_double_prime<Real>(arg), eps);
+    }
+
+}
+/*
+ * This test ensures that the interpolant s(x_j) = f(x_j) at all grid points.
+ */
+template<class Real>
+void test_interpolation_condition()
+{
+    using std::sqrt;
+    std::cout << "Testing interpolation condition for cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::random_device rd;
+    std::mt19937 gen(rd());
+    boost::random::uniform_real_distribution<Real> dis(1, 10);
+    std::vector<Real> v(5000);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = dis(gen);
+    }
+
+    Real step = 0.01;
+    Real a = 5;
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), a, step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real y = spline(i*step + a);
+        // This seems like a very large tolerance, but I don't know of any other interpolators
+        // that will be able to do much better on random data.
+        BOOST_CHECK_CLOSE(y, v[i], 10000*sqrt(std::numeric_limits<Real>::epsilon()));
+    }
+
+}
+
+
+template<class Real>
+void test_constant_function()
+{
+    std::cout << "Testing that constants are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::vector<Real> v(500);
+    Real constant = 50.2;
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 50.2;
+    }
+
+    Real step = 0.02;
+    Real a = 5;
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), a, step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        // Do not test at interpolation point; we already know it works there:
+        Real y = spline(i*step + a + 0.001);
+        BOOST_CHECK_CLOSE(y, constant, 10*std::numeric_limits<Real>::epsilon());
+        Real y_prime = spline.prime(i*step + a + 0.002);
+        BOOST_CHECK_SMALL(y_prime, 5000*std::numeric_limits<Real>::epsilon());
+        Real y_double_prime = spline.double_prime(i*step + a + 0.002);
+        BOOST_CHECK_SMALL(y_double_prime, 5000*std::numeric_limits<Real>::epsilon());
+
+    }
+
+    // Test that correctly specified left and right-derivatives work properly:
+    spline = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.data(), v.size(), a, step, 0, 0);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real y = spline(i*step + a + 0.002);
+        BOOST_CHECK_CLOSE(y, constant, std::numeric_limits<Real>::epsilon());
+        Real y_prime = spline.prime(i*step + a + 0.002);
+        BOOST_CHECK_SMALL(y_prime, std::numeric_limits<Real>::epsilon());
+    }
+
+    //
+    // Again with iterator constructor:
+    //
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline2(v.begin(), v.end(), a, step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+       // Do not test at interpolation point; we already know it works there:
+       Real y = spline2(i*step + a + 0.001);
+       BOOST_CHECK_CLOSE(y, constant, 10 * std::numeric_limits<Real>::epsilon());
+       Real y_prime = spline2.prime(i*step + a + 0.002);
+       BOOST_CHECK_SMALL(y_prime, 5000 * std::numeric_limits<Real>::epsilon());
+    }
+
+    // Test that correctly specified left and right-derivatives work properly:
+    spline2 = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.begin(), v.end(), a, step, 0, 0);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+       Real y = spline2(i*step + a + 0.002);
+       BOOST_CHECK_CLOSE(y, constant, std::numeric_limits<Real>::epsilon());
+       Real y_prime = spline2.prime(i*step + a + 0.002);
+       BOOST_CHECK_SMALL(y_prime, std::numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_affine_function()
+{
+    using std::sqrt;
+    std::cout << "Testing that affine functions are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::vector<Real> v(500);
+    Real a = 10;
+    Real b = 8;
+    Real step = 0.005;
+
+    auto f = [a, b](Real x) { return a*x + b; };
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = f(i*step);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), 0, step);
+
+    for (size_t i = 0; i < v.size() - 1; ++i)
+    {
+        Real arg = i*step + 0.0001;
+        Real y = spline(arg);
+        BOOST_CHECK_CLOSE(y, f(arg), sqrt(std::numeric_limits<Real>::epsilon()));
+        Real y_prime = spline.prime(arg);
+        BOOST_CHECK_CLOSE(y_prime, a, 100*sqrt(std::numeric_limits<Real>::epsilon()));
+    }
+
+    // Test that correctly specified left and right-derivatives work properly:
+    spline = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.data(), v.size(), 0, step, a, a);
+
+    for (size_t i = 0; i < v.size() - 1; ++i)
+    {
+        Real arg = i*step + 0.0001;
+        Real y = spline(arg);
+        BOOST_CHECK_CLOSE(y, f(arg), sqrt(std::numeric_limits<Real>::epsilon()));
+        Real y_prime = spline.prime(arg);
+        BOOST_CHECK_CLOSE(y_prime, a, 100*sqrt(std::numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_quadratic_function()
+{
+    using std::sqrt;
+    std::cout << "Testing that quadratic functions are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::vector<Real> v(500);
+    Real a = 1.2;
+    Real b = -3.4;
+    Real c = -8.6;
+    Real step = 0.01;
+
+    auto f = [a, b, c](Real x) { return a*x*x + b*x + c; };
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = f(i*step);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), 0, step);
+
+    for (size_t i = 0; i < v.size() -1; ++i)
+    {
+        Real arg = i*step + 0.001;
+        Real y = spline(arg);
+        BOOST_CHECK_CLOSE(y, f(arg), 0.1);
+        Real y_prime = spline.prime(arg);
+        BOOST_CHECK_CLOSE(y_prime, 2*a*arg + b, 2.0);
+    }
+}
+
+
+template<class Real>
+void test_trig_function()
+{
+    std::cout << "Testing that sine functions are interpolated correctly by cubic b splines on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::mt19937 gen;
+    std::vector<Real> v(500);
+    Real x0 = 1;
+    Real step = 0.125;
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(x0 + step * i);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), x0, step);
+
+    boost::random::uniform_real_distribution<Real> absissa(x0, x0 + 499 * step);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real x = absissa(gen);
+        Real y = spline(x);
+        BOOST_CHECK_CLOSE(y, sin(x), 1.0);
+        auto y_prime = spline.prime(x);
+        BOOST_CHECK_CLOSE(y_prime, cos(x), 2.0);
+    }
+}
+
+template<class Real>
+void test_copy_move()
+{
+    std::cout << "Testing that copy/move operation succeed on cubic b spline\n";
+    std::vector<Real> v(500);
+    Real x0 = 1;
+    Real step = 0.125;
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(x0 + step * i);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), x0, step);
+
+
+    // Default constructor should compile so that splines can be member variables:
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> d;
+    d = boost::math::interpolators::cardinal_cubic_b_spline<Real>(v.data(), v.size(), x0, step);
+    BOOST_CHECK_CLOSE(d(x0), sin(x0), 0.01);
+    // Passing to lambda should compile:
+    auto f = [=](Real x) { return d(x); };
+    // Make sure this variable is used.
+    BOOST_CHECK_CLOSE(f(x0), sin(x0), 0.01);
+
+    // Move operations should compile.
+    auto s = std::move(spline);
+
+    // Copy operations should compile:
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> c = d;
+    BOOST_CHECK_CLOSE(c(x0), sin(x0), 0.01);
+
+    // Test with std::bind:
+    auto h = std::bind(&boost::math::interpolators::cardinal_cubic_b_spline<double>::operator(), &s, std::placeholders::_1);
+    BOOST_CHECK_CLOSE(h(x0), sin(x0), 0.01);
+}
+
+template<class Real>
+void test_outside_interval()
+{
+    std::cout << "Testing that the spline can be evaluated outside the interpolation interval\n";
+    std::vector<Real> v(400);
+    Real x0 = 1;
+    Real step = 0.125;
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(x0 + step * i);
+    }
+
+    boost::math::interpolators::cardinal_cubic_b_spline<Real> spline(v.data(), v.size(), x0, step);
+
+    // There's no test here; it simply does it's best to be an extrapolator.
+    //
+    std::ostream cnull(0);
+    cnull << spline(0);
+    cnull << spline(2000);
+}
+
+BOOST_AUTO_TEST_CASE(test_cubic_b_spline)
+{
+    test_b3_spline<float>();
+    test_b3_spline<double>();
+    test_b3_spline<long double>();
+    test_b3_spline<cpp_bin_float_50>();
+
+    test_interpolation_condition<float>();
+    test_interpolation_condition<double>();
+    test_interpolation_condition<long double>();
+    test_interpolation_condition<cpp_bin_float_50>();
+
+    test_constant_function<float>();
+    test_constant_function<double>();
+    test_constant_function<long double>();
+    test_constant_function<cpp_bin_float_50>();
+
+    test_affine_function<float>();
+    test_affine_function<double>();
+    test_affine_function<long double>();
+    test_affine_function<cpp_bin_float_50>();
+
+    test_quadratic_function<float>();
+    test_quadratic_function<double>();
+    test_quadratic_function<long double>();
+    test_affine_function<cpp_bin_float_50>();
+
+    test_trig_function<float>();
+    test_trig_function<double>();
+    test_trig_function<long double>();
+    test_trig_function<cpp_bin_float_50>();
+
+    test_copy_move<double>();
+    test_outside_interval<double>();
+}
diff --git a/src/boost/libs/math/test/cardinal_quadratic_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_quadratic_b_spline_test.cpp
new file mode 100644
index 000000000..33ad0efe0
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_quadratic_b_spline_test.cpp
@@ -0,0 +1,130 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <boost/math/interpolators/cardinal_quadratic_b_spline.hpp>
+using boost::math::interpolators::cardinal_quadratic_b_spline;
+
+template<class Real>
+void test_constant()
+{
+    Real c = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> v(n, c);
+    auto qbs = cardinal_quadratic_b_spline<Real>(v.data(), v.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(c, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(0, qbs.prime(t), 100*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+
+    i = 0;
+    while (i < n) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(c, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(0, qbs.prime(t), 300*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(c, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(0, qbs.prime(t), 150*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_linear()
+{
+    Real m = 8.3;
+    Real b = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = m*t + b;
+    }
+    auto qbs = cardinal_quadratic_b_spline<Real>(y.data(), y.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(m*t+b, qbs(t), 2);
+      CHECK_ULP_CLOSE(m, qbs.prime(t), 820);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(m*t+b, qbs(t), 2);
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(m*t+b, qbs(t), 3);
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_quadratic()
+{
+    Real a = 8.2;
+    Real b = 7.2;
+    Real c = -9.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = a*t*t + b*t + c;
+    }
+    Real t_max = t0 + (n-1)*h;
+    auto qbs = cardinal_quadratic_b_spline<Real>(y, t0, h, b, 2*a*t_max + b);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 2);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 47);
+
+      t = t0 + i*h + h/4;
+      if (!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 104)) {
+          std::cerr << "  Problem abscissa t = " << t << "\n";
+      }
+      ++i;
+    }
+}
+
+int main()
+{
+    test_constant<float>();
+    test_constant<double>();
+    test_constant<long double>();
+
+    test_linear<float>();
+    test_linear<double>();
+    test_linear<long double>();
+
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_quintic_b_spline_test.cpp b/src/boost/libs/math/test/cardinal_quintic_b_spline_test.cpp
new file mode 100644
index 000000000..31b9fd910
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_quintic_b_spline_test.cpp
@@ -0,0 +1,296 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <boost/math/interpolators/cardinal_quintic_b_spline.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+using boost::math::interpolators::cardinal_quintic_b_spline;
+
+template<class Real>
+void test_constant()
+{
+    Real c = 7.5;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> v(n, c);
+    std::pair<Real, Real> left_endpoint_derivatives{0, 0};
+    std::pair<Real, Real> right_endpoint_derivatives{0, 0};
+    auto qbs = cardinal_quintic_b_spline<Real>(v.data(), v.size(), t0, h, left_endpoint_derivatives, right_endpoint_derivatives);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(c, qbs(t), 3);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 400*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 60000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(c, qbs(t), 5);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 600*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 30000*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(c, qbs(t), 4);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 600*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 10000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_constant_estimate_derivatives()
+{
+    Real c = 7.5;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> v(n, c);
+    auto qbs = cardinal_quintic_b_spline<Real>(v.data(), v.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(c, qbs(t), 3);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 1200*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 200000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      CHECK_ULP_CLOSE(c, qbs(t), 8);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 1200*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 80000*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      CHECK_ULP_CLOSE(c, qbs(t), 5);
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.prime(t), 1200*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), qbs.double_prime(t), 38000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+
+template<class Real>
+void test_linear()
+{
+    using std::abs;
+    Real m = 8.3;
+    Real b = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = m*t + b;
+    }
+    std::pair<Real, Real> left_endpoint_derivatives{m, 0};
+    std::pair<Real, Real> right_endpoint_derivatives{m, 0};
+    auto qbs = cardinal_quintic_b_spline<Real>(y.data(), y.size(), t0, h, left_endpoint_derivatives, right_endpoint_derivatives);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      if (!CHECK_ULP_CLOSE(m*t+b, qbs(t), 3)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 100*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(0, qbs.double_prime(t), 10000*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 4)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 4)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 3000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+template<class Real>
+void test_linear_estimate_derivatives()
+{
+    using std::abs;
+    Real m = 8.3;
+    Real b = 7.2;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = m*t + b;
+    }
+
+    auto qbs = cardinal_quintic_b_spline<Real>(y.data(), y.size(), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      if (!CHECK_ULP_CLOSE(m*t+b, qbs(t), 3)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 100*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      if(!CHECK_MOLLIFIED_CLOSE(0, qbs.double_prime(t), 20000*abs(m*t+b)*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      ++i;
+    }
+
+    i = 0;
+    while (i < n - 1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 5)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 1500*std::numeric_limits<Real>::epsilon());
+      t = t0 + i*h + h/4;
+      if(!CHECK_ULP_CLOSE(m*t+b, qbs(t), 4)) {
+          std::cerr << "  Problem at t = " << t << "\n";
+      }
+      CHECK_MOLLIFIED_CLOSE(m, qbs.prime(t), 3000*std::numeric_limits<Real>::epsilon());
+      ++i;
+    }
+}
+
+
+template<class Real>
+void test_quadratic()
+{
+    Real a = Real(1)/Real(16);
+    Real b = -3.5;
+    Real c = -9;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = a*t*t + b*t + c;
+    }
+    Real t_max = t0 + (n-1)*h;
+    std::pair<Real, Real> left_endpoint_derivatives{b, 2*a};
+    std::pair<Real, Real> right_endpoint_derivatives{2*a*t_max + b, 2*a};
+
+    auto qbs = cardinal_quintic_b_spline<Real>(y, t0, h, left_endpoint_derivatives, right_endpoint_derivatives);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 3);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n -1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 5)) {
+          std::cerr << "  Problem at abscissa t = " << t << "\n";
+      }
+
+      t = t0 + i*h + h/4;
+      if (!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 5)) {
+          std::cerr << "  Problem abscissa t = " << t << "\n";
+      }
+      ++i;
+    }
+}
+
+
+template<class Real>
+void test_quadratic_estimate_derivatives()
+{
+    Real a = Real(1)/Real(16);
+    Real b = -3.5;
+    Real c = -9;
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 513;
+    std::vector<Real> y(n);
+    for (size_t i = 0; i < n; ++i) {
+      Real t = i*h;
+      y[i] = a*t*t + b*t + c;
+    }
+    auto qbs = cardinal_quintic_b_spline<Real>(y, t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 3);
+      ++i;
+    }
+
+    i = 0;
+    while (i < n -1) {
+      Real t = t0 + i*h + h/2;
+      if(!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 10)) {
+          std::cerr << "  Problem at abscissa t = " << t << "\n";
+      }
+
+      t = t0 + i*h + h/4;
+      if (!CHECK_ULP_CLOSE(a*t*t + b*t + c, qbs(t), 6)) {
+          std::cerr << "  Problem abscissa t = " << t << "\n";
+      }
+      ++i;
+    }
+}
+
+
+int main()
+{
+    test_constant<double>();
+    test_constant<long double>();
+
+    test_constant_estimate_derivatives<double>();
+    test_constant_estimate_derivatives<long double>();
+
+    test_linear<float>();
+    test_linear<double>();
+    test_linear<long double>();
+
+    test_linear_estimate_derivatives<double>();
+    test_linear_estimate_derivatives<long double>();
+
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    test_quadratic_estimate_derivatives<double>();
+    test_quadratic_estimate_derivatives<long double>();
+
+
+    #ifdef BOOST_HAS_FLOAT128
+        test_constant<float128>();
+        test_linear<float128>();
+        test_linear_estimate_derivatives<float128>();
+    #endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/cardinal_trigonometric_test.cpp b/src/boost/libs/math/test/cardinal_trigonometric_test.cpp
new file mode 100644
index 000000000..420768114
--- /dev/null
+++ b/src/boost/libs/math/test/cardinal_trigonometric_test.cpp
@@ -0,0 +1,233 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <vector>
+#include <random>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/interpolators/cardinal_trigonometric.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+#endif
+
+
+using std::sin;
+using boost::math::constants::two_pi;
+using boost::math::interpolators::cardinal_trigonometric;
+
+template<class Real>
+void test_constant()
+{
+    Real t0 = 0;
+    Real h = 1;
+    for(size_t n = 1; n < 20; ++n)
+    {
+      Real c = 8;
+      std::vector<Real> v(n, c);
+      auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+      CHECK_ULP_CLOSE(c, ct(0.3), 3);
+      CHECK_ULP_CLOSE(c*h*n, ct.integrate(), 3);
+      CHECK_ULP_CLOSE(c*c*h*n, ct.squared_l2(), 3);
+      CHECK_MOLLIFIED_CLOSE(Real(0), ct.prime(0.8), 25*std::numeric_limits<Real>::epsilon());
+      CHECK_MOLLIFIED_CLOSE(Real(0), ct.double_prime(0.8), 25*std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition()
+{
+  std::mt19937 gen(1234);
+  std::uniform_real_distribution<Real> dis(1, 10);
+
+  for(size_t n = 1; n < 20; ++n) {
+    Real t0 = dis(gen);
+    Real h = dis(gen);
+    std::vector<Real> v(n);
+    for (size_t i = 0; i < n; ++i) {
+      v[i] = dis(gen);
+    }
+    auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+    for (size_t i = 0; i < n; ++i) {
+      Real arg = t0 + i*h;
+      Real expected = v[i];
+      Real computed = ct(arg);
+      if(!CHECK_ULP_CLOSE(expected, computed, 5*n))
+      {
+        std::cerr << "  Samples: " << n << "\n";
+      }
+    }
+  }
+
+}
+
+
+#ifdef BOOST_HAS_FLOAT128
+void test_constant_q()
+{
+    __float128 t0 = 0;
+    __float128 h = 1;
+    for(size_t n = 1; n < 20; ++n)
+    {
+      __float128 c = 8;
+      std::vector<__float128> v(n, c);
+      auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+      CHECK_ULP_CLOSE(boost::multiprecision::float128(c), boost::multiprecision::float128(ct(0.3)), 3);
+      CHECK_ULP_CLOSE(boost::multiprecision::float128(c*h*n), boost::multiprecision::float128(ct.integrate()), 3);
+    }
+}
+#endif
+
+
+template<class Real>
+void test_sampled_sine()
+{
+    using std::sin;
+    using std::cos;
+    for (unsigned n = 15; n < 50; ++n)
+    {
+      Real t0 = 0;
+      Real T = 1;
+      Real h = T/n;
+      std::vector<Real> v(n);
+      auto s = [&](Real t) { return sin(two_pi<Real>()*(t-t0)/T);};
+      auto s_prime = [&](Real t) { return two_pi<Real>()*cos(two_pi<Real>()*(t-t0)/T)/T;};
+      auto s_double_prime = [&](Real t) { return -two_pi<Real>()*two_pi<Real>()*sin(two_pi<Real>()*(t-t0)/T)/(T*T);};
+      for(size_t j = 0; j < v.size(); ++j)
+      {
+          Real t = t0 + j*h;
+          v[j] = s(t);
+      }
+      auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+      CHECK_ULP_CLOSE(T, ct.period(), 3);
+      std::mt19937 gen(1234);
+      std::uniform_real_distribution<Real> dist(0, 500);
+
+      unsigned j = 0;
+      while (j++ < 50) {
+        Real arg = dist(gen);
+        Real expected = s(arg);
+        Real computed = ct(arg);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, std::numeric_limits<Real>::epsilon()*4000);
+
+        expected = s_prime(arg);
+        computed = ct.prime(arg);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, 18000*std::numeric_limits<Real>::epsilon());
+
+        expected = s_double_prime(arg);
+        computed = ct.double_prime(arg);
+        CHECK_MOLLIFIED_CLOSE(expected, computed, 100000*std::numeric_limits<Real>::epsilon());
+
+      }
+      CHECK_MOLLIFIED_CLOSE(Real(0), ct.integrate(), std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_bump()
+{
+  using std::exp;
+  using std::abs;
+  using std::sqrt;
+  using std::pow;
+  auto bump = [](Real x)->Real { if (abs(x) >= 1) { return Real(0); } return exp(-Real(1)/(Real(1)-x*x)); };
+  auto bump_prime = [](Real x)->Real {
+      if (abs(x) >= 1) { return Real(0); }
+
+      return -2*x*exp(-Real(1)/(Real(1)-x*x))/pow(1-x*x,2);
+  };
+
+  auto bump_double_prime = [](Real x)->Real {
+      if (abs(x) >= 1) { return Real(0); }
+
+      return (6*pow(x,4)-2)*exp(-Real(1)/(Real(1)-x*x))/pow(1-x*x,4);
+  };
+
+
+  Real t0 = -1;
+  size_t n = 4096;
+  Real h = Real(2)/Real(n);
+
+  std::vector<Real> v(n);
+  for(size_t i = 0; i < n; ++i)
+  {
+      Real t = t0 + i*h;
+      v[i] = bump(t);
+  }
+
+  auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
+  std::mt19937 gen(323723);
+  std::uniform_real_distribution<long double> dis(-0.9, 0.9);
+
+  size_t i = 0;
+  while (i++ < 1000)
+  {
+      Real t = static_cast<Real>(dis(gen));
+      Real expected = bump(t);
+      Real computed = ct(t);
+      if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 2*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem occurred at abscissa " << t << "\n";
+      }
+
+      expected = bump_prime(t);
+      computed = ct.prime(t);
+      if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 4000*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem occurred at abscissa " << t << "\n";
+      }
+
+      expected = bump_double_prime(t);
+      computed = ct.double_prime(t);
+      if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 4000*4000*std::numeric_limits<Real>::epsilon())) {
+          std::cerr << "  Problem occurred at abscissa " << t << "\n";
+      }
+
+
+  }
+
+  // Wolfram Alpha:
+  // NIntegrate[Exp[-1/(1-x*x)],{x,-1,1}]
+  CHECK_ULP_CLOSE(Real(0.443993816168079437823L), ct.integrate(), 3);
+
+  // NIntegrate[Exp[-2/(1-x*x)],{x,-1,1}]
+  CHECK_ULP_CLOSE(Real(0.1330861208449942715569473279553285713625791551628130055345002588895389L), ct.squared_l2(), 1);
+
+
+}
+
+
+int main()
+{
+
+#ifdef TEST1
+    test_constant<float>();
+    test_sampled_sine<float>();
+    test_bump<float>();
+    test_interpolation_condition<float>();
+#endif
+
+
+#ifdef TEST2
+    test_constant<double>();
+    test_sampled_sine<double>();
+    test_bump<double>();
+    test_interpolation_condition<double>();
+#endif
+
+#ifdef TEST3
+    test_constant<long double>();
+    test_sampled_sine<long double>();
+    test_bump<long double>();
+    test_interpolation_condition<long double>();
+#endif
+
+#ifdef TEST4
+#ifdef BOOST_HAS_FLOAT128
+test_constant_q();
+#endif
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/catmull_rom_test.cpp b/src/boost/libs/math/test/catmull_rom_test.cpp
new file mode 100644
index 000000000..d2cfa4f29
--- /dev/null
+++ b/src/boost/libs/math/test/catmull_rom_test.cpp
@@ -0,0 +1,427 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE catmull_rom_test
+
+#include <array>
+#include <random>
+#include <boost/cstdfloat.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/interpolators/catmull_rom.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+
+using std::abs;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::math::catmull_rom;
+
+template<class Real>
+void test_alpha_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::array<Real, 3> v1 = {0,0,0};
+    std::array<Real, 3> v2 = {1,0,0};
+    Real alpha = 0.5;
+    Real d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, alpha);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 0.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 1.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    v2[0] = 2;
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, alpha);
+    BOOST_CHECK_CLOSE_FRACTION(d, pow(2, (Real)1/ (Real) 2), tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 0.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 1, tol);
+
+    d = boost::math::detail::alpha_distance<std::array<Real, 3>>(v1, v2, 1.0);
+    BOOST_CHECK_CLOSE_FRACTION(d, 2, tol);
+}
+
+
+template<class Real>
+void test_linear()
+{
+    std::cout << "Testing that the Catmull-Rom spline interpolates linear functions correctly on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    std::vector<std::array<Real, 3>> v(4);
+    v[0] = {0,0,0};
+    v[1] = {1,0,0};
+    v[2] = {2,0,0};
+    v[3] = {3,0,0};
+    catmull_rom<std::array<Real, 3>> cr(std::move(v));
+
+    // Test that the interpolation condition is obeyed:
+    BOOST_CHECK_CLOSE_FRACTION(cr.max_parameter(), 3, tol);
+    auto p0 = cr(0.0);
+    BOOST_CHECK_SMALL(p0[0], tol);
+    BOOST_CHECK_SMALL(p0[1], tol);
+    BOOST_CHECK_SMALL(p0[2], tol);
+    auto p1 = cr(1.0);
+    BOOST_CHECK_CLOSE_FRACTION(p1[0], 1, tol);
+    BOOST_CHECK_SMALL(p1[1], tol);
+    BOOST_CHECK_SMALL(p1[2], tol);
+
+    auto p2 = cr(2.0);
+    BOOST_CHECK_CLOSE_FRACTION(p2[0], 2, tol);
+    BOOST_CHECK_SMALL(p2[1], tol);
+    BOOST_CHECK_SMALL(p2[2], tol);
+
+
+    auto p3 = cr(3.0);
+    BOOST_CHECK_CLOSE_FRACTION(p3[0], 3, tol);
+    BOOST_CHECK_SMALL(p3[1], tol);
+    BOOST_CHECK_SMALL(p3[2], tol);
+
+    Real s = cr.parameter_at_point(0);
+    BOOST_CHECK_SMALL(s, tol);
+
+    s = cr.parameter_at_point(1);
+    BOOST_CHECK_CLOSE_FRACTION(s, 1, tol);
+
+    s = cr.parameter_at_point(2);
+    BOOST_CHECK_CLOSE_FRACTION(s, 2, tol);
+
+    s = cr.parameter_at_point(3);
+    BOOST_CHECK_CLOSE_FRACTION(s, 3, tol);
+
+    // Test that the function is linear on the interval [1,2]:
+    for (double s = 1; s < 2; s += 0.01)
+    {
+        auto p = cr(s);
+        BOOST_CHECK_CLOSE_FRACTION(p[0], s, tol);
+        BOOST_CHECK_SMALL(p[1], tol);
+        BOOST_CHECK_SMALL(p[2], tol);
+
+        auto tangent = cr.prime(s);
+        BOOST_CHECK_CLOSE_FRACTION(tangent[0], 1, tol);
+        BOOST_CHECK_SMALL(tangent[1], tol);
+        BOOST_CHECK_SMALL(tangent[2], tol);
+    }
+
+}
+
+template<class Real>
+void test_circle()
+{
+    using boost::math::constants::pi;
+    using std::cos;
+    using std::sin;
+
+    std::cout << "Testing that the Catmull-Rom spline interpolates circles correctly on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    std::vector<std::array<Real, 2>> v(20*sizeof(Real));
+    std::vector<std::array<Real, 2>> u(20*sizeof(Real));
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real theta = ((Real) i/ (Real) v.size())*2*pi<Real>();
+        v[i] = {cos(theta), sin(theta)};
+        u[i] = v[i];
+    }
+    catmull_rom<std::array<Real, 2>> circle(std::move(v), true);
+
+    // Interpolation condition:
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real s = circle.parameter_at_point(i);
+        auto p = circle(s);
+        Real x = p[0];
+        Real y = p[1];
+        if (abs(x) < std::numeric_limits<Real>::epsilon())
+        {
+            BOOST_CHECK_SMALL(u[i][0], tol);
+        }
+        if (abs(y) < std::numeric_limits<Real>::epsilon())
+        {
+            BOOST_CHECK_SMALL(u[i][1], tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(x, u[i][0], tol);
+            BOOST_CHECK_CLOSE_FRACTION(y, u[i][1], tol);
+        }
+    }
+
+    Real max_s = circle.max_parameter();
+    for(Real s = 0; s < max_s; s += 0.01)
+    {
+        auto p = circle(s);
+        Real x = p[0];
+        Real y = p[1];
+        BOOST_CHECK_CLOSE_FRACTION(x*x+y*y, 1, 0.001);
+    }
+}
+
+
+template<class Real, size_t dimension>
+void test_affine_invariance()
+{
+    std::cout << "Testing that the Catmull-Rom spline is affine invariant in dimension "
+              << dimension << " on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 1000*std::numeric_limits<Real>::epsilon();
+    std::vector<std::array<Real, dimension>> v(100);
+    std::vector<std::array<Real, dimension>> u(100);
+    std::mt19937_64 gen(438232);
+    Real inv_denom = (Real) 100/( (Real) (gen.max)() + (Real) 2);
+    for(size_t j = 0; j < dimension; ++j)
+    {
+        v[0][j] = gen()*inv_denom;
+        u[0][j] = v[0][j];
+    }
+
+    for (size_t i = 1; i < v.size(); ++i)
+    {
+        for(size_t j = 0; j < dimension; ++j)
+        {
+            v[i][j] = v[i-1][j] + gen()*inv_denom;
+            u[i][j] = v[i][j];
+        }
+    }
+    std::array<Real, dimension> affine_shift;
+    for (size_t j = 0; j < dimension; ++j)
+    {
+        affine_shift[j] = gen()*inv_denom;
+    }
+
+    catmull_rom<std::array<Real, dimension>> cr1(std::move(v));
+
+    for(size_t i = 0; i< u.size(); ++i)
+    {
+        for(size_t j = 0; j < dimension; ++j)
+        {
+            u[i][j] += affine_shift[j];
+        }
+    }
+
+    catmull_rom<std::array<Real, dimension>> cr2(std::move(u));
+
+    BOOST_CHECK_CLOSE_FRACTION(cr1.max_parameter(), cr2.max_parameter(), tol);
+
+    Real ds = cr1.max_parameter()/1024;
+    for (Real s = 0; s < cr1.max_parameter(); s += ds)
+    {
+        auto p0 = cr1(s);
+        auto p1 = cr2(s);
+        auto tangent0 = cr1.prime(s);
+        auto tangent1 = cr2.prime(s);
+        for (size_t j = 0; j < dimension; ++j)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(p0[j] + affine_shift[j], p1[j], tol);
+            if (abs(tangent0[j]) > 5000*tol)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(tangent0[j], tangent1[j], 5000*tol);
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_helix()
+{
+    using boost::math::constants::pi;
+    std::cout << "Testing that the Catmull-Rom spline interpolates helices correctly on type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    Real tol = 0.001;
+    std::vector<std::array<Real, 3>> v(400*sizeof(Real));
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real theta = ((Real) i/ (Real) v.size())*2*pi<Real>();
+        v[i] = {cos(theta), sin(theta), theta};
+    }
+    catmull_rom<std::array<Real, 3>> helix(std::move(v));
+
+    // Interpolation condition:
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        Real s = helix.parameter_at_point(i);
+        auto p = helix(s);
+        Real t = p[2];
+
+        Real x = p[0];
+        Real y = p[1];
+        if (abs(x) < tol)
+        {
+            BOOST_CHECK_SMALL(cos(t), tol);
+        }
+        if (abs(y) < tol)
+        {
+            BOOST_CHECK_SMALL(sin(t), tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(x, cos(t), tol);
+            BOOST_CHECK_CLOSE_FRACTION(y, sin(t), tol);
+        }
+    }
+
+    Real max_s = helix.max_parameter();
+    for(Real s = helix.parameter_at_point(1); s < max_s; s += 0.01)
+    {
+        auto p = helix(s);
+        Real x = p[0];
+        Real y = p[1];
+        Real t = p[2];
+        BOOST_CHECK_CLOSE_FRACTION(x*x+y*y, (Real) 1, (Real) 0.01);
+        if (abs(x) < 0.01)
+        {
+            BOOST_CHECK_SMALL(cos(t),  (Real) 0.05);
+        }
+        if (abs(y) < 0.01)
+        {
+            BOOST_CHECK_SMALL(sin(t), (Real) 0.05);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(x, cos(t), (Real) 0.05);
+            BOOST_CHECK_CLOSE_FRACTION(y, sin(t), (Real) 0.05);
+        }
+    }
+}
+
+
+template<class Real>
+class mypoint3d
+{
+public:
+    // Must define a value_type:
+    typedef Real value_type;
+
+    // Regular constructor:
+    mypoint3d(Real x, Real y, Real z)
+    {
+        m_vec[0] = x;
+        m_vec[1] = y;
+        m_vec[2] = z;
+    }
+
+    // Must define a default constructor:
+    mypoint3d() {}
+
+    // Must define array access:
+    Real operator[](size_t i) const
+    {
+        return m_vec[i];
+    }
+
+    // Array element assignment:
+    Real& operator[](size_t i)
+    {
+        return m_vec[i];
+    }
+
+
+private:
+    std::array<Real, 3>  m_vec;
+};
+
+
+// Must define the free function "size()":
+template<class Real>
+BOOST_CONSTEXPR std::size_t size(const mypoint3d<Real>& c)
+{
+    return 3;
+}
+
+template<class Real>
+void test_data_representations()
+{
+    std::cout << "Testing that the Catmull-Rom spline works with multiple data representations.\n";
+    mypoint3d<Real> p0(0.1, 0.2, 0.3);
+    mypoint3d<Real> p1(0.2, 0.3, 0.4);
+    mypoint3d<Real> p2(0.3, 0.4, 0.5);
+    mypoint3d<Real> p3(0.4, 0.5, 0.6);
+    mypoint3d<Real> p4(0.5, 0.6, 0.7);
+    mypoint3d<Real> p5(0.6, 0.7, 0.8);
+
+
+    // Tests initializer_list:
+    catmull_rom<mypoint3d<Real>> cat({p0, p1, p2, p3, p4, p5});
+
+    Real tol = 0.001;
+    auto p = cat(cat.parameter_at_point(0));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p0[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p0[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p0[2], tol);
+    p = cat(cat.parameter_at_point(1));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p1[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p1[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p1[2], tol);
+}
+
+template<class Real>
+void test_random_access_container()
+{
+    std::cout << "Testing that the Catmull-Rom spline works with multiple data representations.\n";
+    mypoint3d<Real> p0(0.1, 0.2, 0.3);
+    mypoint3d<Real> p1(0.2, 0.3, 0.4);
+    mypoint3d<Real> p2(0.3, 0.4, 0.5);
+    mypoint3d<Real> p3(0.4, 0.5, 0.6);
+    mypoint3d<Real> p4(0.5, 0.6, 0.7);
+    mypoint3d<Real> p5(0.6, 0.7, 0.8);
+
+    boost::numeric::ublas::vector<mypoint3d<Real>> u(6);
+    u[0] = p0;
+    u[1] = p1;
+    u[2] = p2;
+    u[3] = p3;
+    u[4] = p4;
+    u[5] = p5;
+
+    // Tests initializer_list:
+    catmull_rom<mypoint3d<Real>, decltype(u)> cat(std::move(u));
+
+    Real tol = 0.001;
+    auto p = cat(cat.parameter_at_point(0));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p0[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p0[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p0[2], tol);
+    p = cat(cat.parameter_at_point(1));
+    BOOST_CHECK_CLOSE_FRACTION(p[0], p1[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[1], p1[1], tol);
+    BOOST_CHECK_CLOSE_FRACTION(p[2], p1[2], tol);
+}
+
+BOOST_AUTO_TEST_CASE(catmull_rom_test)
+{
+#if !defined(TEST) || (TEST == 1)
+    test_data_representations<float>();
+    test_alpha_distance<double>();
+
+    test_linear<double>();
+    test_linear<long double>();
+
+    test_circle<float>();
+    test_circle<double>();
+#endif
+#if !defined(TEST) || (TEST == 2)
+    test_helix<double>();
+
+    test_affine_invariance<double, 1>();
+    test_affine_invariance<double, 2>();
+    test_affine_invariance<double, 3>();
+    test_affine_invariance<double, 4>();
+
+    test_random_access_container<double>();
+#endif
+#if !defined(TEST) || (TEST == 3)
+    test_affine_invariance<cpp_bin_float_50, 4>();
+#endif
+}
diff --git a/src/boost/libs/math/test/cbrt_data.ipp b/src/boost/libs/math/test/cbrt_data.ipp
new file mode 100644
index 000000000..4a67c9c27
--- /dev/null
+++ b/src/boost/libs/math/test/cbrt_data.ipp
@@ -0,0 +1,93 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 85> cbrt_data = { {
+      {{ SC_(0.266297021326439287136622624529991298914e-12), SC_(0.1888421455001568264216782004847867296461e-37) }}, 
+      {{ SC_(0.5920415525016708979677559909760020673275e-12), SC_(0.2075183790343685754527643464587844863336e-36) }}, 
+      {{ SC_(0.155163989296047688526414276566356420517e-11), SC_(0.3735707037930203997047439019589434984292e-35) }}, 
+      {{ SC_(0.326923297461201300961874949280172586441e-11), SC_(0.3494118359373226772153200620663814420149e-34) }}, 
+      {{ SC_(0.3753785910581841633870681107509881258011e-11), SC_(0.5289425440452335470097113858122815653748e-34) }}, 
+      {{ SC_(0.9579165585749116473834874341264367103577e-11), SC_(0.8789881934013975442181045034737061376284e-33) }}, 
+      {{ SC_(0.1858167439361402273334533674642443656921e-10), SC_(0.6415854952683870221087767100660047169015e-32) }}, 
+      {{ SC_(0.5449485307451595872407779097557067871094e-10), SC_(0.1618327663648593897188312867673509349544e-30) }}, 
+      {{ SC_(0.6089519166696533147842274047434329986572e-10), SC_(0.2258130336429980668979991908229127823735e-30) }}, 
+      {{ SC_(0.1337744776064297980155970435589551925659e-9), SC_(0.2393975994093713145816368117219309682822e-29) }}, 
+      {{ SC_(0.2554458866654840676346793770790100097656e-9), SC_(0.1666850852333084475602734478539689292864e-28) }}, 
+      {{ SC_(0.9285605062636648199259070679545402526855e-9), SC_(0.8006277238962806516943344887937136945761e-27) }}, 
+      {{ SC_(0.1698227447555211711005540564656257629395e-8), SC_(0.4897647988639492837638733591590200680017e-26) }}, 
+      {{ SC_(0.339355921141759608872234821319580078125e-8), SC_(0.3908105631910126517922937762400154556398e-25) }}, 
+      {{ SC_(0.6313728651008432279922999441623687744141e-8), SC_(0.2516852352568191806987306088580024017075e-24) }}, 
+      {{ SC_(0.8383264749056706932606175541877746582031e-8), SC_(0.5891685351226332190380177353564166513441e-24) }}, 
+      {{ SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.7559899905537899689665020666334853594435e-23) }}, 
+      {{ SC_(0.5256384838503436185419559478759765625e-7), SC_(0.1452317136611010055610488165775172825142e-21) }}, 
+      {{ SC_(0.116242290459922514855861663818359375e-6), SC_(0.1570697224733838212725464129330562874032e-20) }}, 
+      {{ SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.5610532144067232522265416539512374653302e-20) }}, 
+      {{ SC_(0.246631174150024889968335628509521484375e-6), SC_(0.1500181866107243920079950771800422025379e-19) }}, 
+      {{ SC_(0.7932688959044753573834896087646484375e-6), SC_(0.4991847137949555007936240315051986249607e-18) }}, 
+      {{ SC_(0.1372093493046122603118419647216796875e-5), SC_(0.2583158853420963423689975850731860849521e-17) }}, 
+      {{ SC_(0.214747751670074649155139923095703125e-5), SC_(0.9903435487644105337695875806797860570175e-17) }}, 
+      {{ SC_(0.527022712049074470996856689453125e-5), SC_(0.1463821071995824977534730930446568768253e-15) }}, 
+      {{ SC_(0.9233162927557714283466339111328125e-5), SC_(0.7871391209588633308733754268944773271037e-15) }}, 
+      {{ SC_(0.269396477960981428623199462890625e-4), SC_(0.1955130454371024476239796923077328444099e-13) }}, 
+      {{ SC_(0.3208058114978484809398651123046875e-4), SC_(0.3301616917426164412576388360054394990469e-13) }}, 
+      {{ SC_(0.10957030463032424449920654296875e-3), SC_(0.1315462909319166691700161404508507291713e-11) }}, 
+      {{ SC_(0.126518702018074691295623779296875e-3), SC_(0.2025182580848748191763613884783980516393e-11) }}, 
+      {{ SC_(0.28976381872780621051788330078125e-3), SC_(0.2432945998183714075166971697772880334043e-10) }}, 
+      {{ SC_(0.687857042066752910614013671875e-3), SC_(0.325457709339121122043443511174534212782e-9) }}, 
+      {{ SC_(0.145484809763729572296142578125e-2), SC_(0.3079306732417723714591019095094197606751e-8) }}, 
+      {{ SC_(0.2847635187208652496337890625e-2), SC_(0.2309154822558505456380682823926992940837e-7) }}, 
+      {{ SC_(0.56468211114406585693359375e-2), SC_(0.1800578620431549562186637161391699604382e-6) }}, 
+      {{ SC_(0.11621631681919097900390625e-1), SC_(0.1569644571431467249504618249826407884451e-5) }}, 
+      {{ SC_(0.257236398756504058837890625e-1), SC_(0.1702147780446687692243218673184664750751e-4) }}, 
+      {{ SC_(0.560617186129093170166015625e-1), SC_(0.1761972888887947511388016005088640519383e-3) }}, 
+      {{ SC_(0.106835305690765380859375e0), SC_(0.1219394946966688262159601656951790626948e-2) }}, 
+      {{ SC_(0.2401093542575836181640625e0), SC_(0.1384290502703277530255383713042680732253e-1) }}, 
+      {{ SC_(0.438671648502349853515625e0), SC_(0.8441482026963079214835649797480515710291e-1) }}, 
+      {{ SC_(0.903765499591827392578125e0), SC_(0.7381885006644863290177619358266650206879e0) }}, 
+      {{ SC_(0.12760250568389892578125e1), SC_(0.2077674969235041602851348126190789145085e1) }}, 
+      {{ SC_(0.3411548614501953125e1), SC_(0.3970586787024071934171232101107307244092e2) }}, 
+      {{ SC_(0.671881103515625e1), SC_(0.3033034012472492122469702735543251037598e3) }}, 
+      {{ SC_(0.802254772186279296875e1), SC_(0.5163413756551815056187668129261680860509e3) }}, 
+      {{ SC_(0.264815673828125e2), SC_(0.1857081908850696527224499732255935668945e5) }}, 
+      {{ SC_(0.54742523193359375e2), SC_(0.1640493194709731775162708800053223967552e6) }}, 
+      {{ SC_(0.744071502685546875e2), SC_(0.4119495333434053702710286870569689199328e6) }}, 
+      {{ SC_(0.210427001953125e3), SC_(0.9317607304574811554630286991596221923828e7) }}, 
+      {{ SC_(0.286463409423828125e3), SC_(0.2350755546524705072036454112094361335039e8) }}, 
+      {{ SC_(0.74548876953125e3), SC_(0.4143079969757992170052602887153625488281e9) }}, 
+      {{ SC_(0.15343248291015625e4), SC_(0.361203491025739912996687053237110376358e10) }}, 
+      {{ SC_(0.3632982421875e4), SC_(0.47950141115752447418868541717529296875e11) }}, 
+      {{ SC_(0.8027111328125e4), SC_(0.517223035506184733219444751739501953125e12) }}, 
+      {{ SC_(0.128921982421875e5), SC_(0.2142796483541738858568482100963592529297e13) }}, 
+      {{ SC_(0.2196087890625e5), SC_(0.10591297122360160745680332183837890625e14) }}, 
+      {{ SC_(0.614975859375e5), SC_(0.232580984311524292169094085693359375e15) }}, 
+      {{ SC_(0.103892109375e6), SC_(0.1121366795544843797206878662109375e16) }}, 
+      {{ SC_(0.2370011875e6), SC_(0.13312253103065122768310546875e17) }}, 
+      {{ SC_(0.32081496875e6), SC_(0.33018996548382043793914794921875e17) }}, 
+      {{ SC_(0.533606625e6), SC_(0.151937032114340403275390625e18) }}, 
+      {{ SC_(0.1836336625e7), SC_(0.6192369863782824692494140625e19) }}, 
+      {{ SC_(0.38194295e7), SC_(0.55717996837103384222375e20) }}, 
+      {{ SC_(0.52642505e7), SC_(0.145884664571511666937625e21) }}, 
+      {{ SC_(0.1527432e8), SC_(0.3563572958789165568e22) }}, 
+      {{ SC_(0.25265768e8), SC_(0.16128631219129563064832e23) }}, 
+      {{ SC_(0.6509808e8), SC_(0.275870040782346842112e24) }}, 
+      {{ SC_(0.114023104e9), SC_(0.1482444961322159867428864e25) }}, 
+      {{ SC_(0.189604896e9), SC_(0.6816299156208797501915136e25) }}, 
+      {{ SC_(0.507585472e9), SC_(0.130775849541591501155074048e27) }}, 
+      {{ SC_(0.764055936e9), SC_(0.446041700029835346607865856e27) }}, 
+      {{ SC_(0.2103773184e10), SC_(0.9311008970618745805030293504e28) }}, 
+      {{ SC_(0.3395078656e10), SC_(0.39133574711079901758452924416e29) }}, 
+      {{ SC_(0.6645239808e10), SC_(0.293448554175562916132775002112e30) }}, 
+      {{ SC_(0.9947638784e10), SC_(0.984373742549644225510117474304e30) }}, 
+      {{ SC_(0.19561418752e11), SC_(0.7485159350422880041966143275008e31) }}, 
+      {{ SC_(0.60532621312e11), SC_(0.221803524649682352197867382243328e33) }}, 
+      {{ SC_(0.78978883584e11), SC_(0.492643743012832976593364088520704e33) }}, 
+      {{ SC_(0.169071362048e12), SC_(0.4832926096640938859567595590254592e34) }}, 
+      {{ SC_(0.345661243392e12), SC_(0.41300191319644612608733712417292288e35) }}, 
+      {{ SC_(0.994912108544e12), SC_(0.984813853841992339417900620588253184e36) }}, 
+      {{ SC_(0.2023890092032e13), SC_(0.8290119158315231036253469850906656768e37) }}, 
+      {{ SC_(0.4372805189632e13), SC_(0.83614267463479414022236113855701843968e38) }}, 
+      {{ SC_(0.5516391612416e13), SC_(0.167866976532732026957407327191402807296e39) }}
+   } };
+
diff --git a/src/boost/libs/math/test/chebyshev_test.cpp b/src/boost/libs/math/test/chebyshev_test.cpp
new file mode 100644
index 000000000..b5dca51bc
--- /dev/null
+++ b/src/boost/libs/math/test/chebyshev_test.cpp
@@ -0,0 +1,147 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#define BOOST_TEST_MODULE chebyshev_test
+
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/chebyshev.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/array.hpp>
+
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::chebyshev_t;
+using boost::math::chebyshev_t_prime;
+using boost::math::chebyshev_u;
+
+template<class Real>
+void test_polynomials()
+{
+    std::cout << "Testing explicit polynomial representations of the Chebyshev polynomials on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+
+    Real x = -2;
+    Real tol = 400*std::numeric_limits<Real>::epsilon();
+    if (tol > std::numeric_limits<float>::epsilon())
+       tol *= 10;   // float results have much larger error rates.
+    while (x < 2)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(0, x), Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(1, x), x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(2, x), 2*x*x - 1, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(3, x), x*(4*x*x-3), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(4, x), 8*x*x*(x*x - 1) + 1, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t(5, x), x*(16*x*x*x*x - 20*x*x + 5), tol);
+        x += 1/static_cast<Real>(1<<7);
+    }
+
+    x = -2;
+    tol = 10*tol;
+    while (x < 2)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(0, x), Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(1, x), 2*x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(2, x), 4*x*x - 1, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_u(3, x), 4*x*(2*x*x - 1), tol);
+        x += 1/static_cast<Real>(1<<7);
+    }
+}
+
+
+template<class Real>
+void test_derivatives()
+{
+    std::cout << "Testing explicit polynomial representations of the Chebyshev polynomial derivatives on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+
+    Real x = -2;
+    Real tol = 1000*std::numeric_limits<Real>::epsilon();
+    while (x < 2)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(0, x), Real(0), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(1, x), Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(2, x), 4*x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(3, x), 3*(4*x*x - 1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(4, x), 16*x*(2*x*x - 1), tol);
+        // This one makes the tolerance have to grow too large; the Chebyshev recurrence is more stable than naive polynomial evaluation anyway.
+        //BOOST_CHECK_CLOSE_FRACTION(chebyshev_t_prime(5, x), 5*(4*x*x*(4*x*x - 3) + 1), tol);
+        x += 1/static_cast<Real>(1<<7);
+    }
+}
+
+template<class Real>
+void test_clenshaw_recurrence()
+{
+    using boost::math::chebyshev_clenshaw_recurrence;
+    boost::array<Real, 5> c0 = { {2, 0, 0, 0, 0} };
+    // Check the size = 1 case:
+    boost::array<Real, 1> c01 = { {2} };
+    // Check the size = 2 case:
+    boost::array<Real, 2> c02 = { {2, 0} };
+    boost::array<Real, 4> c1 = { {0, 1, 0, 0} };
+    boost::array<Real, 4> c2 = { {0, 0, 1, 0} };
+    boost::array<Real, 5> c3 = { {0, 0, 0, 1, 0} };
+    boost::array<Real, 5> c4 = { {0, 0, 0, 0, 1} };
+    boost::array<Real, 6> c5 = { {0, 0, 0, 0, 0, 1} };
+    boost::array<Real, 7> c6 = { {0, 0, 0, 0, 0, 0, 1} };
+
+    Real x = -1;
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    if (tol > std::numeric_limits<float>::epsilon())
+       tol *= 100;   // float results have much larger error rates.
+    while (x <= 1)
+    {
+        Real y = chebyshev_clenshaw_recurrence(c0.data(), c0.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(0, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c01.data(), c01.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(0, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c02.data(), c02.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(0, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c1.data(), c1.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(1, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c2.data(), c2.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(2, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c3.data(), c3.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(3, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c4.data(), c4.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(4, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c5.data(), c5.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(5, x), tol);
+
+        y = chebyshev_clenshaw_recurrence(c6.data(), c6.size(), x);
+        BOOST_CHECK_CLOSE_FRACTION(y, chebyshev_t(6, x), tol);
+
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+}
+
+BOOST_AUTO_TEST_CASE(chebyshev_test)
+{
+    test_clenshaw_recurrence<float>();
+    test_clenshaw_recurrence<double>();
+    test_clenshaw_recurrence<long double>();
+
+    test_polynomials<float>();
+    test_polynomials<double>();
+    test_polynomials<long double>();
+    test_polynomials<cpp_bin_float_quad>();
+
+    test_derivatives<float>();
+    test_derivatives<double>();
+    test_derivatives<long double>();
+    test_derivatives<cpp_bin_float_quad>();
+}
diff --git a/src/boost/libs/math/test/chebyshev_transform_test.cpp b/src/boost/libs/math/test/chebyshev_transform_test.cpp
new file mode 100644
index 000000000..fa6171be2
--- /dev/null
+++ b/src/boost/libs/math/test/chebyshev_transform_test.cpp
@@ -0,0 +1,263 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE chebyshev_transform_test
+
+#include <boost/cstdfloat.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/chebyshev.hpp>
+#include <boost/math/special_functions/chebyshev_transform.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#  define TEST4
+#endif
+
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::chebyshev_t;
+using boost::math::chebyshev_t_prime;
+using boost::math::chebyshev_u;
+using boost::math::chebyshev_transform;
+
+
+template<class Real>
+void test_sin_chebyshev_transform()
+{
+    using boost::math::chebyshev_transform;
+    using boost::math::constants::half_pi;
+    using std::sin;
+    using std::cos;
+    using std::abs;
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    auto f = [](Real x) { return sin(x); };
+    Real a = 0;
+    Real b = 1;
+    chebyshev_transform<Real> cheb(f, a, b, tol);
+
+    Real x = a;
+    while (x < b)
+    {
+        Real s = sin(x);
+        Real c = cos(x);
+        if (abs(s) < tol)
+        {
+            BOOST_CHECK_SMALL(cheb(x), 100*tol);
+            BOOST_CHECK_CLOSE_FRACTION(c, cheb.prime(x), 100*tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(s, cheb(x), 100*tol);
+            if (abs(c) < tol)
+            {
+                BOOST_CHECK_SMALL(cheb.prime(x), 100*tol);
+            }
+            else
+            {
+                BOOST_CHECK_CLOSE_FRACTION(c, cheb.prime(x), 100*tol);
+            }
+        }
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+    Real Q = cheb.integrate();
+
+    BOOST_CHECK_CLOSE_FRACTION(1 - cos(static_cast<Real>(1)), Q, 100*tol);
+}
+
+
+template<class Real>
+void test_sinc_chebyshev_transform()
+{
+    using std::cos;
+    using std::sin;
+    using std::abs;
+    using boost::math::sinc_pi;
+    using boost::math::chebyshev_transform;
+    using boost::math::constants::half_pi;
+
+    Real tol = 500*std::numeric_limits<Real>::epsilon();
+    auto f = [](Real x) { return boost::math::sinc_pi(x); };
+    Real a = 0;
+    Real b = 1;
+    chebyshev_transform<Real> cheb(f, a, b, tol/50);
+
+    Real x = a;
+    while (x < b)
+    {
+        Real s = sinc_pi(x);
+        Real ds = (cos(x)-sinc_pi(x))/x;
+        if (x == 0) { ds = 0; }
+        if (s < tol)
+        {
+            BOOST_CHECK_SMALL(cheb(x), tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(s, cheb(x), tol);
+        }
+
+        if (abs(ds) < tol)
+        {
+            BOOST_CHECK_SMALL(cheb.prime(x), 5 * tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(ds, cheb.prime(x), 300*tol);
+        }
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+    Real Q = cheb.integrate();
+    //NIntegrate[Sinc[x], {x, 0, 1}, WorkingPrecision -> 200, AccuracyGoal -> 150, PrecisionGoal -> 150, MaxRecursion -> 150]
+    Real Q_exp = boost::lexical_cast<Real>("0.94608307036718301494135331382317965781233795473811179047145477356668");
+    BOOST_CHECK_CLOSE_FRACTION(Q_exp, Q, tol);
+}
+
+
+
+//Examples taken from "Approximation Theory and Approximation Practice", by Trefethen
+template<class Real>
+void test_atap_examples()
+{
+    using std::sin;
+    using boost::math::constants::half;
+    using boost::math::sinc_pi;
+    using boost::math::chebyshev_transform;
+    using boost::math::constants::half_pi;
+
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    auto f1 = [](Real x) { return ((0 < x) - (x < 0)) - x/2; };
+    auto f2 = [](Real x) { Real t = sin(6*x); Real s = sin(x + exp(2*x));
+                           Real u = (0 < s) - (s < 0);
+                           return t + u; };
+
+    auto f3 = [](Real x) { return sin(6*x) + sin(60*exp(x)); };
+
+    auto f4 = [](Real x) { return 1/(1+1000*(x+half<Real>())*(x+half<Real>())) + 1/sqrt(1+1000*(x-.5)*(x-0.5));};
+    Real a = -1;
+    Real b = 1;
+    chebyshev_transform<Real> cheb1(f1, a, b);
+    chebyshev_transform<Real> cheb2(f2, a, b, tol);
+    //chebyshev_transform<Real> cheb3(f3, a, b, tol);
+
+    Real x = a;
+    while (x < b)
+    {
+        //Real s = f1(x);
+        if (sizeof(Real) == sizeof(float))
+        {
+           BOOST_CHECK_CLOSE_FRACTION(f1(x), cheb1(x), 4e-3);
+        }
+        else
+        {
+           BOOST_CHECK_CLOSE_FRACTION(f1(x), cheb1(x), 1.3e-5);
+        }
+        BOOST_CHECK_CLOSE_FRACTION(f2(x), cheb2(x), 6e-3);
+        //BOOST_CHECK_CLOSE_FRACTION(f3(x), cheb3(x), 100*tol);
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+}
+
+//Validate that the Chebyshev polynomials are well approximated by the Chebyshev transform.
+template<class Real>
+void test_chebyshev_chebyshev_transform()
+{
+    Real tol = 500*std::numeric_limits<Real>::epsilon();
+    // T_0 = 1:
+    auto t0 = [](Real) { return 1; };
+    chebyshev_transform<Real> cheb0(t0, -1, 1);
+    BOOST_CHECK_CLOSE_FRACTION(cheb0.coefficients()[0], 2, tol);
+
+    Real x = -1;
+    while (x < 1)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(cheb0(x), 1, tol);
+        BOOST_CHECK_SMALL(cheb0.prime(x), tol);
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+    // T_1 = x:
+    auto t1 = [](Real x) { return x; };
+    chebyshev_transform<Real> cheb1(t1, -1, 1);
+    BOOST_CHECK_CLOSE_FRACTION(cheb1.coefficients()[1], 1, tol);
+
+    x = -1;
+    while (x < 1)
+    {
+        if (x == 0)
+        {
+            BOOST_CHECK_SMALL(cheb1(x), tol);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(cheb1(x), x, tol);
+        }
+        BOOST_CHECK_CLOSE_FRACTION(cheb1.prime(x), 1, tol);
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+
+
+    auto t2 = [](Real x) { return 2*x*x-1; };
+    chebyshev_transform<Real> cheb2(t2, -1, 1);
+    BOOST_CHECK_CLOSE_FRACTION(cheb2.coefficients()[2], 1, tol);
+
+    x = -1;
+    while (x < 1)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(cheb2(x), t2(x), tol);
+        if (x != 0)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(cheb2.prime(x), 4*x, tol);
+        }
+        else
+        {
+            BOOST_CHECK_SMALL(cheb2.prime(x), tol);
+        }
+        x += static_cast<Real>(1)/static_cast<Real>(1 << 7);
+    }
+}
+
+BOOST_AUTO_TEST_CASE(chebyshev_transform_test)
+{
+#ifdef TEST1
+    test_chebyshev_chebyshev_transform<float>();
+    test_sin_chebyshev_transform<float>();
+    test_atap_examples<float>();
+    test_sinc_chebyshev_transform<float>();
+#endif
+#ifdef TEST2
+    test_chebyshev_chebyshev_transform<double>();
+    test_sin_chebyshev_transform<double>();
+    test_atap_examples<double>();
+    test_sinc_chebyshev_transform<double>();
+#endif
+#ifdef TEST3
+    test_chebyshev_chebyshev_transform<long double>();
+    test_sin_chebyshev_transform<long double>();
+    test_atap_examples<long double>();
+    test_sinc_chebyshev_transform<long double>();
+#endif
+#ifdef TEST4
+#ifdef BOOST_HAS_FLOAT128
+    test_chebyshev_chebyshev_transform<__float128>();
+    test_sin_chebyshev_transform<__float128>();
+    test_atap_examples<__float128>();
+    test_sinc_chebyshev_transform<__float128>();
+#endif
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/autodiff_incl_test.cpp b/src/boost/libs/math/test/compile_test/autodiff_incl_test.cpp
new file mode 100644
index 000000000..11e65895a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/autodiff_incl_test.cpp
@@ -0,0 +1,30 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/differentiation/autodiff.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+template <typename T>
+T fourth_power(T const& x) {
+   T x4 = x * x;  // retval in operator*() uses x4's memory via NRVO.
+   x4 *= x4;      // No copies of x4 are made within operator*=() even when squaring.
+   return x4;     // x4 uses y's memory in main() via NRVO.
+}
+
+void compile_and_link_test()
+{
+   using namespace boost::math::differentiation;
+   auto const x = make_fvar<double, 5>(2.0);  // Find derivatives at x=2.
+   auto const y = fourth_power(x);
+   
+   check_result<double>(y.derivative(1));
+}
diff --git a/src/boost/libs/math/test/compile_test/barycentric_rational_concept_test.cpp b/src/boost/libs/math/test/compile_test/barycentric_rational_concept_test.cpp
new file mode 100644
index 000000000..2fae9046b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/barycentric_rational_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright John Maddock 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/interpolators/barycentric_rational.hpp>
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept x[] = { 1, 2, 3 };
+   boost::math::concepts::std_real_concept y[] = { 13, 15, 17 };
+   boost::math::barycentric_rational<boost::math::concepts::std_real_concept> s(x, y, 3, 3);
+   s(1.0);
+}
diff --git a/src/boost/libs/math/test/compile_test/barycentric_rational_incl_test.cpp b/src/boost/libs/math/test/compile_test/barycentric_rational_incl_test.cpp
new file mode 100644
index 000000000..fc1e71d75
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/barycentric_rational_incl_test.cpp
@@ -0,0 +1,27 @@
+//  Copyright John Maddock 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+
+#ifdef _MSC_VER
+#pragma warning(disable:4459)
+#endif
+
+#include <boost/math/interpolators/barycentric_rational.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   double data[] = { 1, 2, 3 };
+   double y[] = { 34, 56, 67 };
+   boost::math::barycentric_rational<double> s(data, y, 3, 2);
+   check_result<double>(s(1.0));
+}
diff --git a/src/boost/libs/math/test/compile_test/catmull_rom_concept_test.cpp b/src/boost/libs/math/test/compile_test/catmull_rom_concept_test.cpp
new file mode 100644
index 000000000..9f7b2b498
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/catmull_rom_concept_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright Nick Thompson 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/interpolators/catmull_rom.hpp>
+
+void compile_and_link_test()
+{
+    std::vector<boost::math::concepts::std_real_concept> p0{0.1, 0.2, 0.3};
+    std::vector<boost::math::concepts::std_real_concept> p1{0.2, 0.3, 0.4};
+    std::vector<boost::math::concepts::std_real_concept> p2{0.3, 0.4, 0.5};
+    std::vector<boost::math::concepts::std_real_concept> p3{0.4, 0.5, 0.6};
+    std::vector<boost::math::concepts::std_real_concept> p4{0.5, 0.6, 0.7};
+    std::vector<boost::math::concepts::std_real_concept> p5{0.6, 0.7, 0.8};
+    std::vector<std::vector<boost::math::concepts::std_real_concept>> v{p0, p1, p2, p3, p4, p5};
+    boost::math::catmull_rom<std::vector<boost::math::concepts::std_real_concept>> cat(std::move(v));
+    cat(0.0);
+    cat.prime(0.0);
+}
diff --git a/src/boost/libs/math/test/compile_test/catmull_rom_incl_test.cpp b/src/boost/libs/math/test/compile_test/catmull_rom_incl_test.cpp
new file mode 100644
index 000000000..9cdaa09af
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/catmull_rom_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright Nick Thompson 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/interpolators/catmull_rom.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/interpolators/catmull_rom.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    std::vector<double> p0{0.1, 0.2, 0.3};
+    std::vector<double> p1{0.2, 0.3, 0.4};
+    std::vector<double> p2{0.3, 0.4, 0.5};
+    std::vector<double> p3{0.4, 0.5, 0.6};
+    std::vector<double> p4{0.5, 0.6, 0.7};
+    std::vector<double> p5{0.6, 0.7, 0.8};
+    std::vector<std::vector<double>> v{p0, p1, p2, p3, p4, p5};
+    boost::math::catmull_rom<std::vector<double>> cat(std::move(v));
+    check_result<std::vector<double>>(cat(0.0));
+    check_result<std::vector<double>>(cat.prime(0.0));
+}
diff --git a/src/boost/libs/math/test/compile_test/compl_abs_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_abs_incl_test.cpp
new file mode 100644
index 000000000..a7a12db65
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_abs_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/fabs.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/fabs.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<float >(boost::math::fabs(std::complex<float>()));
+   check_result<double >(boost::math::fabs(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::fabs(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_acos_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_acos_incl_test.cpp
new file mode 100644
index 000000000..428ea19d3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_acos_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/acos.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/acos.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::acos(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::acos(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::acos(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_acosh_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_acosh_incl_test.cpp
new file mode 100644
index 000000000..4b5ce873f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_acosh_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/acosh.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/acosh.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::acosh(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::acosh(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::acosh(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_asin_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_asin_incl_test.cpp
new file mode 100644
index 000000000..d6c602096
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_asin_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/asin.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/asin.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::asin(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::asin(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::asin(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_asinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_asinh_incl_test.cpp
new file mode 100644
index 000000000..e4f8e74ee
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_asinh_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/asinh.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/asinh.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::asinh(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::asinh(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::asinh(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_atan_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_atan_incl_test.cpp
new file mode 100644
index 000000000..83877a68e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_atan_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/atan.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/atan.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::atan(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::atan(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::atan(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/compl_atanh_incl_test.cpp b/src/boost/libs/math/test/compile_test/compl_atanh_incl_test.cpp
new file mode 100644
index 000000000..bface310d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/compl_atanh_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/complex/atanh.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/complex/atanh.hpp>
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::atanh(std::complex<float>()));
+   check_result<std::complex<double> >(boost::math::atanh(std::complex<double>()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::atanh(std::complex<long double>()));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/constants_incl_test.cpp b/src/boost/libs/math/test/compile_test/constants_incl_test.cpp
new file mode 100644
index 000000000..039596c76
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/constants_incl_test.cpp
@@ -0,0 +1,24 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/constants/constants.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::constants::pi<float>());
+   check_result<double>(boost::math::constants::pi<double>());
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::constants::pi<long double>());
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_1.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_1.cpp
new file mode 100644
index 000000000..e2b793524
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_1.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+int main(int
+#ifdef BOOST_FLOAT128_C
+   argc
+#endif
+   , char*[])
+{
+#ifdef BOOST_FLOAT128_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT128_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_2.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_2.cpp
new file mode 100644
index 000000000..a5cca7e1d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_2.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+
+int main(int 
+#ifdef BOOST_FLOAT80_C
+      argc
+#endif
+   , char*[])
+{
+#ifdef BOOST_FLOAT80_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT80_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_3.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_3.cpp
new file mode 100644
index 000000000..6d2781b64
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_3.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+
+int main(int
+#ifdef BOOST_FLOAT64_C
+   argc
+#endif
+  , char*[])
+{
+#ifdef BOOST_FLOAT64_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT64_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_4.cpp b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_4.cpp
new file mode 100644
index 000000000..184498894
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cstdfloat_concept_check_4.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/cstdfloat.hpp>
+#include "poison.hpp"
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+
+int main(int 
+#ifdef BOOST_FLOAT32_C
+   argc
+#endif
+   , char*[])
+{
+#ifdef BOOST_FLOAT32_C
+   if(argc > 1000)
+      instantiate(BOOST_FLOAT32_C(1.23));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/cubic_spline_concept_test.cpp b/src/boost/libs/math/test/compile_test/cubic_spline_concept_test.cpp
new file mode 100644
index 000000000..d004c6517
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cubic_spline_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/interpolators/cardinal_cubic_b_spline.hpp>
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept data[] = { 1, 2, 3 };
+   boost::math::interpolators::cardinal_cubic_b_spline<boost::math::concepts::std_real_concept> s(data, 3, 2, 1), s2;
+   s(1.0);
+   s.prime(1.0);
+}
diff --git a/src/boost/libs/math/test/compile_test/cubic_spline_incl_test.cpp b/src/boost/libs/math/test/compile_test/cubic_spline_incl_test.cpp
new file mode 100644
index 000000000..ec08f139e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/cubic_spline_incl_test.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// A sanity check that this file
+// #includes all the files that it needs to.
+//
+#include <boost/math/interpolators/cardinal_cubic_b_spline.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   double data[] = { 1, 2, 3 };
+   boost::math::interpolators::cardinal_cubic_b_spline<double> s(data, 3, 2, 1), s2;
+   check_result<double>(s(1.0));
+   check_result<double>(s.prime(1.0));
+}
diff --git a/src/boost/libs/math/test/compile_test/daubechies_filters_incl_test.cpp b/src/boost/libs/math/test/compile_test/daubechies_filters_incl_test.cpp
new file mode 100644
index 000000000..f70d40d36
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/daubechies_filters_incl_test.cpp
@@ -0,0 +1,33 @@
+//  Copyright John Maddock 2020.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/filters/daubechies.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/filters/daubechies.hpp>
+
+void compile_and_link_test()
+{
+   using namespace boost::math::filters;
+
+   constexpr std::array<float, 2> fa = daubechies_scaling_filter<float, 1>();
+   static_assert(fa[0] == 0.70710678118654752440084436210484903928483593768847403658833986899536623923f);
+   static_assert(fa[1] == 0.70710678118654752440084436210484903928483593768847403658833986899536623923f);
+
+   constexpr std::array<double, 4> da = daubechies_scaling_filter<double, 2>();
+   static_assert(da[0] == 0.48296291314453414337487159986444868381695241950420227520117153815521160699);
+   static_assert(da[1] == 0.83651630373780790557529378091687320345937038834843929349534147265289472661);
+   static_assert(da[2] == 0.22414386804201338102597276224040035546788351818427176138716833084015463224);
+   static_assert(da[3] == -0.12940952255126038117444941881202416417453445065996525690700160365752848737);
+
+   constexpr std::array<long double, 6> la = daubechies_scaling_filter<long double, 3>();
+   static_assert(la[0] == 0.33267055295008261599851158913900563001292339924506835970847057855179372371L);
+   static_assert(la[1] == 0.80689150931109257649449360408871349051929739499482361816509206360348683533L);
+   static_assert(la[2] == 0.45987750211849157009515194214761672080811017743149230664338678024864033563L);
+   static_assert(la[3] == -0.135011020010254588696389906699374480562219845223781191975686255357062768L);
+   static_assert(la[4] == -0.085441273882026661692819169181773311536197638988086629763517489805067820106L);
+   static_assert(la[5] == 0.035226291885709536602740664715510029327758387917431610398934060748942171898L);
+
+}
diff --git a/src/boost/libs/math/test/compile_test/daubechies_scaling_incl_test.cpp b/src/boost/libs/math/test/compile_test/daubechies_scaling_incl_test.cpp
new file mode 100644
index 000000000..7c983c583
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/daubechies_scaling_incl_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright Nick Thompson 2020.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/daubechies_scaling.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    double x = 0;
+    auto daub3 = boost::math::daubechies_scaling<double, 3>(5);
+    check_result<double>(daub3(x));
+}
diff --git a/src/boost/libs/math/test/compile_test/dist_bernoulli_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_bernoulli_incl_test.cpp
new file mode 100644
index 000000000..91397fc31
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_bernoulli_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/bernoulli.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/bernoulli.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(bernoulli)
+}
+
+template class boost::math::bernoulli_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::bernoulli_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::bernoulli_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_beta_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_beta_incl_test.cpp
new file mode 100644
index 000000000..34f8bc214
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_beta_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/beta.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/beta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(beta)
+}
+
+template class boost::math::beta_distribution<double, boost::math::policies::policy<> >;
+template class boost::math::beta_distribution<float, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::beta_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_binomial_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_binomial_incl_test.cpp
new file mode 100644
index 000000000..40246ad58
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_binomial_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/binomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/binomial.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(binomial)
+}
+
+template class boost::math::binomial_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::binomial_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::binomial_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_cauchy_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_cauchy_incl_test.cpp
new file mode 100644
index 000000000..d07071b24
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_cauchy_incl_test.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/cauchy.hpp>
+// #includes all the files that it needs to.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#include <boost/math/distributions/cauchy.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(cauchy)
+}
+
+template class boost::math::cauchy_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::cauchy_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::cauchy_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_chi_squared_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_chi_squared_incl_test.cpp
new file mode 100644
index 000000000..b0b198fcc
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_chi_squared_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/chi_squared.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/chi_squared.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(chi_squared)
+}
+
+template class boost::math::chi_squared_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::chi_squared_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::chi_squared_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_complement_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_complement_incl_test.cpp
new file mode 100644
index 000000000..892776145
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_complement_incl_test.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/complement.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/complement.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   boost::math::complement(f, f);
+   boost::math::complement(f, f, d);
+   boost::math::complement(f, f, d, l);
+   boost::math::complement(f, f, d, l, i);
+}
diff --git a/src/boost/libs/math/test/compile_test/dist_exponential_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_exponential_incl_test.cpp
new file mode 100644
index 000000000..3cbbc07a5
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_exponential_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/exponential.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/exponential.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(exponential)
+}
+
+template class boost::math::exponential_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::exponential_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::exponential_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_extreme_val_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_extreme_val_incl_test.cpp
new file mode 100644
index 000000000..92f4a50e3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_extreme_val_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/extreme_value.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/extreme_value.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(extreme_value)
+}
+
+template class boost::math::extreme_value_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::extreme_value_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::extreme_value_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_find_location_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_find_location_incl_test.cpp
new file mode 100644
index 000000000..20aadba15
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_find_location_incl_test.cpp
@@ -0,0 +1,61 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/find_location.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/find_location.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+template <class T, class Policy = boost::math::policies::policy<> >
+class test_distribution
+{
+public:
+   typedef T value_type;
+   typedef Policy policy_type;
+   test_distribution(){}
+};
+
+template <class T, class Policy>
+T quantile(const test_distribution<T, Policy>&, T)
+{
+   return 0;
+}
+
+template <class T, class Policy>
+T quantile(const boost::math::complemented2_type<test_distribution<T, Policy>, T>&)
+{
+   return 0;
+}
+
+namespace boost{ namespace math{ namespace tools{
+
+   template <class T, class Policy> struct is_distribution<test_distribution<T, Policy> > : public true_type{};
+   template <class T, class Policy> struct is_scaled_distribution<test_distribution<T, Policy> > : public true_type{};
+
+}}}
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::find_location<test_distribution<float> >(f, f, f, boost::math::policies::policy<>()));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(d, d, d, boost::math::policies::policy<>()));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(l, l, l, boost::math::policies::policy<>()));
+
+   check_result<float>(boost::math::find_location<test_distribution<float> >(f, f, f));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(d, d, d));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(l, l, l));
+
+   check_result<float>(boost::math::find_location<test_distribution<float> >(boost::math::complement(f, f, f, boost::math::policies::policy<>())));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(boost::math::complement(d, d, d, boost::math::policies::policy<>())));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(boost::math::complement(l, l, l, boost::math::policies::policy<>())));
+
+   check_result<float>(boost::math::find_location<test_distribution<float> >(boost::math::complement(f, f, f)));
+   check_result<double>(boost::math::find_location<test_distribution<double> >(boost::math::complement(d, d, d)));
+   check_result<long double>(boost::math::find_location<test_distribution<long double> >(boost::math::complement(l, l, l)));
+}
diff --git a/src/boost/libs/math/test/compile_test/dist_find_scale_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_find_scale_incl_test.cpp
new file mode 100644
index 000000000..5481e210d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_find_scale_incl_test.cpp
@@ -0,0 +1,62 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/find_scale.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/find_scale.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+template <class T, class Policy = boost::math::policies::policy<> >
+class test_distribution
+{
+public:
+   typedef T value_type;
+   typedef Policy policy_type;
+   test_distribution(){}
+};
+
+template <class T, class Policy>
+T quantile(const test_distribution<T, Policy>&, T)
+{
+   return 0;
+}
+
+template <class T, class Policy>
+T quantile(const boost::math::complemented2_type<test_distribution<T, Policy>, T>&)
+{
+   return 0;
+}
+
+namespace boost{ namespace math{ namespace tools{
+
+   template <class T, class Policy> struct is_distribution<test_distribution<T, Policy> > : public true_type{};
+   template <class T, class Policy> struct is_scaled_distribution<test_distribution<T, Policy> > : public true_type{};
+
+}}}
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(f, f, f, boost::math::policies::policy<>()));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(d, d, d, boost::math::policies::policy<>()));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(l, l, l, boost::math::policies::policy<>()));
+
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(f, f, f));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(d, d, d));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(l, l, l));
+
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(boost::math::complement(f, f, f, boost::math::policies::policy<>())));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(boost::math::complement(d, d, d, boost::math::policies::policy<>())));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(boost::math::complement(l, l, l, boost::math::policies::policy<>())));
+
+   check_result<float>(boost::math::find_scale<test_distribution<float> >(boost::math::complement(f, f, f)));
+   check_result<double>(boost::math::find_scale<test_distribution<double> >(boost::math::complement(d, d, d)));
+   check_result<long double>(boost::math::find_scale<test_distribution<long double> >(boost::math::complement(l, l, l)));
+}
+
diff --git a/src/boost/libs/math/test/compile_test/dist_fisher_f_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_fisher_f_incl_test.cpp
new file mode 100644
index 000000000..f8c14b44d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_fisher_f_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/fisher_f.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/fisher_f.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(fisher_f)
+}
+
+template class boost::math::fisher_f_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::fisher_f_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::fisher_f_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_gamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_gamma_incl_test.cpp
new file mode 100644
index 000000000..e6c4ee689
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_gamma_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/gamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(gamma)
+}
+
+template class boost::math::gamma_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::gamma_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::gamma_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_hyperexponential_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_hyperexponential_incl_test.cpp
new file mode 100644
index 000000000..4de172d32
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_hyperexponential_incl_test.cpp
@@ -0,0 +1,26 @@
+//  Copyright 2014 Marco Guazzone (marco.guazzone@gmail.com)
+//
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/hyperexponential.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/hyperexponential.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(hyperexponential)
+}
+
+template class boost::math::hyperexponential_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::hyperexponential_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::hyperexponential_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_hypergeo_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_hypergeo_incl_test.cpp
new file mode 100644
index 000000000..32edb5f2d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_hypergeo_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/hypergeometric.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/hypergeometric.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(hypergeometric)
+}
+
+template class boost::math::hypergeometric_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::hypergeometric_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::hypergeometric_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_inv_chi_sq_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_inv_chi_sq_incl_test.cpp
new file mode 100644
index 000000000..86313c332
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_inv_chi_sq_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/inverse_chi_squared.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(inverse_chi_squared)
+}
+
+template class boost::math::inverse_chi_squared_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::inverse_chi_squared_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::inverse_chi_squared_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_inv_gamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_inv_gamma_incl_test.cpp
new file mode 100644
index 000000000..c86e53476
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_inv_gamma_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/inverse_gamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(inverse_gamma)
+}
+
+template class boost::math::inverse_gamma_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::inverse_gamma_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::inverse_gamma_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_laplace_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_laplace_incl_test.cpp
new file mode 100644
index 000000000..9a9dabf29
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_laplace_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/laplace.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/laplace.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(laplace)
+}
+
+template class boost::math::laplace_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::laplace_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::laplace_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_logistic_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_logistic_incl_test.cpp
new file mode 100644
index 000000000..456291dd3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_logistic_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/logistic.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/logistic.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(logistic)
+}
+
+template class boost::math::logistic_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::logistic_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::logistic_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_lognormal_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_lognormal_incl_test.cpp
new file mode 100644
index 000000000..11450460a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_lognormal_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/lognormal.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/lognormal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(lognormal)
+}
+
+template class boost::math::lognormal_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::lognormal_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::lognormal_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_beta_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_beta_incl_test.cpp
new file mode 100644
index 000000000..12d6ef159
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_beta_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_beta.hpp>
+// #includes all the files that it needs to.
+//
+// This must appear *before* any #includes, and precludes pch usage:
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+//
+#include <boost/math/distributions/non_central_beta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_beta)
+}
+
+template class boost::math::non_central_beta_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_beta_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_beta_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_chi_squ_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_chi_squ_incl_test.cpp
new file mode 100644
index 000000000..b953418dd
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_chi_squ_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_chi_squared.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/non_central_chi_squared.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_chi_squared)
+}
+
+template class boost::math::non_central_chi_squared_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_chi_squared_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_chi_squared_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_f_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_f_incl_test.cpp
new file mode 100644
index 000000000..2c81b11ee
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_f_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_f.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/non_central_f.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_f)
+}
+
+template class boost::math::non_central_f_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_f_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_f_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_nc_t_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_nc_t_incl_test.cpp
new file mode 100644
index 000000000..8f1e429e3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_nc_t_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/non_central_t.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/non_central_t.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(non_central_t)
+}
+
+template class boost::math::non_central_t_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::non_central_t_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::non_central_t_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_neg_binom_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_neg_binom_incl_test.cpp
new file mode 100644
index 000000000..b0368d41c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_neg_binom_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/negative_binomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/negative_binomial.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(negative_binomial)
+}
+
+template class boost::math::negative_binomial_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::negative_binomial_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::negative_binomial_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_normal_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_normal_incl_test.cpp
new file mode 100644
index 000000000..c3ad2ab93
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_normal_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/normal.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/normal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(normal)
+}
+
+template class boost::math::normal_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::normal_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::normal_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_pareto_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_pareto_incl_test.cpp
new file mode 100644
index 000000000..1d1e1ff25
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_pareto_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/pareto.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/pareto.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(pareto)
+}
+
+template class boost::math::pareto_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::pareto_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::pareto_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_poisson_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_poisson_incl_test.cpp
new file mode 100644
index 000000000..ab69b99ba
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_poisson_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/poisson.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/poisson.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(poisson)
+}
+
+template class boost::math::poisson_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::poisson_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::poisson_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp
new file mode 100644
index 000000000..6f41d4b08
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/students_t.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/skew_normal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(skew_normal)
+}
+
+template class boost::math::skew_normal_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::skew_normal_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::skew_normal_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_students_t_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_students_t_incl_test.cpp
new file mode 100644
index 000000000..6c09a4406
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_students_t_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/students_t.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/students_t.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(students_t)
+}
+
+template class boost::math::students_t_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::students_t_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::students_t_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_triangular_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_triangular_incl_test.cpp
new file mode 100644
index 000000000..8eaebf5b1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_triangular_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/triangular.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/triangular.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(triangular)
+}
+
+template class boost::math::triangular_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::triangular_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::triangular_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_uniform_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_uniform_incl_test.cpp
new file mode 100644
index 000000000..2b3e30ef1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_uniform_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/uniform.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/uniform.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(uniform)
+}
+
+template class boost::math::uniform_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::uniform_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::uniform_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/dist_weibull_incl_test.cpp b/src/boost/libs/math/test/compile_test/dist_weibull_incl_test.cpp
new file mode 100644
index 000000000..d73bd58cb
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/dist_weibull_incl_test.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/weibull.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/weibull.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   TEST_DIST_FUNC(weibull)
+}
+
+template class boost::math::weibull_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::weibull_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::weibull_distribution<long double, boost::math::policies::policy<> >;
+#endif
diff --git a/src/boost/libs/math/test/compile_test/distribution_concept_check.cpp b/src/boost/libs/math/test/compile_test/distribution_concept_check.cpp
new file mode 100644
index 000000000..26b236a55
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/distribution_concept_check.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/math/distributions.hpp>
+#include <boost/math/concepts/distributions.hpp>
+
+
+template <class RealType>
+void instantiate(RealType)
+{
+   using namespace boost;
+   using namespace boost::math;
+   using namespace boost::math::concepts;
+
+   typedef policies::policy<policies::digits2<std::numeric_limits<RealType>::digits - 2> > custom_policy;
+
+   function_requires<DistributionConcept<bernoulli_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<beta_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<binomial_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<cauchy_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<chi_squared_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<exponential_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<extreme_value_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<fisher_f_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<gamma_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<geometric_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<inverse_gamma_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<inverse_gaussian_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<laplace_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<logistic_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<lognormal_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<negative_binomial_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_beta_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_f_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<non_central_t_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<normal_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<pareto_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<poisson_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<rayleigh_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<skew_normal_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<students_t_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<triangular_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<uniform_distribution<RealType, custom_policy> > >();
+   function_requires<DistributionConcept<weibull_distribution<RealType, custom_policy> > >();
+}
+
+
+int main()
+{
+   instantiate(float(0));
+   instantiate(double(0));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   instantiate((long double)(0));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/exp_sinh_concept_test.cpp b/src/boost/libs/math/test/compile_test/exp_sinh_concept_test.cpp
new file mode 100644
index 000000000..6ee6c24e6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/exp_sinh_concept_test.cpp
@@ -0,0 +1,16 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::exp_sinh<boost::math::concepts::std_real_concept> integrator;
+    integrator.integrate(f, a);
+}
diff --git a/src/boost/libs/math/test/compile_test/exp_sinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/exp_sinh_incl_test.cpp
new file mode 100644
index 000000000..62f68876c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/exp_sinh_incl_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/exp_sinh.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return x; };
+    boost::math::quadrature::exp_sinh<double> integrator;
+    check_result<double>(integrator.integrate(f));
+}
diff --git a/src/boost/libs/math/test/compile_test/gauss_concept_test.cpp b/src/boost/libs/math/test/compile_test/gauss_concept_test.cpp
new file mode 100644
index 000000000..85ad3a67b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/gauss_concept_test.cpp
@@ -0,0 +1,17 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/gauss.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    boost::math::concepts::std_real_concept b = 1;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::gauss<boost::math::concepts::std_real_concept, 7> integrator;
+    integrator.integrate(f, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/gauss_kronrod_concept_test.cpp b/src/boost/libs/math/test/compile_test/gauss_kronrod_concept_test.cpp
new file mode 100644
index 000000000..6b101285c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/gauss_kronrod_concept_test.cpp
@@ -0,0 +1,17 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    boost::math::concepts::std_real_concept b = 1;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::gauss_kronrod<boost::math::concepts::std_real_concept, 7> integrator;
+    integrator.integrate(f, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/generate.sh b/src/boost/libs/math/test/compile_test/generate.sh
new file mode 100755
index 000000000..ac88405aa
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/generate.sh
@@ -0,0 +1,46 @@
+for file in ../../../../boost/math/tools/*.hpp; do 
+cat > tools_$(basename $file .hpp)_inc_test.cpp  << EOF; 
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/$(basename $file)>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/$(basename $file .hpp).hpp>
+
+EOF
+done
+
+for file in ../../../../boost/math/distributions/*.hpp; do 
+cat > dist_$(basename $file .hpp)_incl_test.cpp  << EOF; 
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/$(basename $file)>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/$(basename $file .hpp).hpp>
+
+EOF
+done
+
+for file in ../../../../boost/math/special_functions/*.hpp; do 
+cat > sf_$(basename $file .hpp)_incl_test.cpp  << EOF; 
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/$(basename $file)>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/$(basename $file .hpp).hpp>
+
+EOF
+done
+
+
diff --git a/src/boost/libs/math/test/compile_test/instantiate.hpp b/src/boost/libs/math/test/compile_test/instantiate.hpp
new file mode 100644
index 000000000..32e000180
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/instantiate.hpp
@@ -0,0 +1,1468 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007, 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
+#define BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
+
+#ifndef BOOST_MATH_ASSERT_UNDEFINED_POLICY
+#  define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#endif
+
+#include <boost/math/distributions.hpp>
+
+#include <boost/math/special_functions.hpp>
+#include <boost/math/concepts/distributions.hpp>
+#include <boost/concept_archetype.hpp>
+
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+
+typedef boost::math::policies::policy<boost::math::policies::promote_float<false>, boost::math::policies::promote_double<false> > test_policy;
+
+namespace test{
+
+BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(test_policy)
+
+}
+
+namespace dist_test{
+
+BOOST_MATH_DECLARE_DISTRIBUTIONS(double, test_policy)
+
+}
+#endif
+
+#if !defined(TEST_GROUP_1) && !defined(TEST_GROUP_2) && !defined(TEST_GROUP_3) \
+   && !defined(TEST_GROUP_4) && !defined(TEST_GROUP_5) && !defined(TEST_GROUP_6) \
+   && !defined(TEST_GROUP_7) && !defined(TEST_GROUP_8) && !defined(TEST_GROUP_9)
+#  define TEST_GROUP_1
+#  define TEST_GROUP_2
+#  define TEST_GROUP_3
+#  define TEST_GROUP_4
+#  define TEST_GROUP_5
+#  define TEST_GROUP_6
+#  define TEST_GROUP_7
+#  define TEST_GROUP_8
+#  define TEST_GROUP_9
+#endif
+
+template <class RealType>
+void instantiate(RealType)
+{
+   using namespace boost;
+   using namespace boost::math;
+   using namespace boost::math::concepts;
+#ifdef TEST_GROUP_1
+   function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
+   function_requires<DistributionConcept<bernoulli_distribution<RealType> > >();
+   function_requires<DistributionConcept<beta_distribution<RealType> > >();
+   function_requires<DistributionConcept<binomial_distribution<RealType> > >();
+   function_requires<DistributionConcept<cauchy_distribution<RealType> > >();
+   function_requires<DistributionConcept<chi_squared_distribution<RealType> > >();
+   function_requires<DistributionConcept<exponential_distribution<RealType> > >();
+   function_requires<DistributionConcept<extreme_value_distribution<RealType> > >();
+   function_requires<DistributionConcept<fisher_f_distribution<RealType> > >();
+   function_requires<DistributionConcept<gamma_distribution<RealType> > >();
+   function_requires<DistributionConcept<geometric_distribution<RealType> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType> > >();
+   function_requires<DistributionConcept<hyperexponential_distribution<RealType> > >();
+   function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType> > >();
+   function_requires<DistributionConcept<inverse_gamma_distribution<RealType> > >();
+   function_requires<DistributionConcept<inverse_gaussian_distribution<RealType> > >();
+   function_requires<DistributionConcept<laplace_distribution<RealType> > >();
+   function_requires<DistributionConcept<logistic_distribution<RealType> > >();
+   function_requires<DistributionConcept<lognormal_distribution<RealType> > >();
+   function_requires<DistributionConcept<negative_binomial_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_beta_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_f_distribution<RealType> > >();
+   function_requires<DistributionConcept<non_central_t_distribution<RealType> > >();
+   function_requires<DistributionConcept<normal_distribution<RealType> > >();
+   function_requires<DistributionConcept<pareto_distribution<RealType> > >();
+   function_requires<DistributionConcept<poisson_distribution<RealType> > >();
+   function_requires<DistributionConcept<rayleigh_distribution<RealType> > >();
+   function_requires<DistributionConcept<students_t_distribution<RealType> > >();
+   function_requires<DistributionConcept<skew_normal_distribution<RealType> > >();
+   function_requires<DistributionConcept<triangular_distribution<RealType> > >();
+   function_requires<DistributionConcept<uniform_distribution<RealType> > >();
+   function_requires<DistributionConcept<weibull_distribution<RealType> > >();
+#endif
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+#ifdef TEST_GROUP_2
+   function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
+   function_requires<DistributionConcept<bernoulli_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<beta_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<binomial_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<cauchy_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<chi_squared_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<exponential_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<extreme_value_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<fisher_f_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<gamma_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<geometric_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<hypergeometric_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<inverse_gamma_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<inverse_gaussian_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<laplace_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<logistic_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<lognormal_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<negative_binomial_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_beta_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_f_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<non_central_t_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<normal_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<pareto_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<poisson_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<rayleigh_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<skew_normal_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<students_t_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<triangular_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<uniform_distribution<RealType, test_policy> > >();
+   function_requires<DistributionConcept<weibull_distribution<RealType, test_policy> > >();
+#endif
+#ifdef TEST_GROUP_3
+   function_requires<DistributionConcept<dist_test::arcsine > >();
+   function_requires<DistributionConcept<dist_test::bernoulli > >();
+   function_requires<DistributionConcept<dist_test::beta > >();
+   function_requires<DistributionConcept<dist_test::binomial > >();
+   function_requires<DistributionConcept<dist_test::cauchy > >();
+   function_requires<DistributionConcept<dist_test::chi_squared > >();
+   function_requires<DistributionConcept<dist_test::exponential > >();
+   function_requires<DistributionConcept<dist_test::extreme_value > >();
+   function_requires<DistributionConcept<dist_test::fisher_f > >();
+   function_requires<DistributionConcept<dist_test::gamma > >();
+   function_requires<DistributionConcept<dist_test::geometric > >();
+   function_requires<DistributionConcept<dist_test::hypergeometric > >();
+   function_requires<DistributionConcept<dist_test::inverse_chi_squared > >();
+   function_requires<DistributionConcept<dist_test::inverse_gamma > >();
+   function_requires<DistributionConcept<dist_test::inverse_gaussian > >();
+   function_requires<DistributionConcept<dist_test::laplace > >();
+   function_requires<DistributionConcept<dist_test::logistic > >();
+   function_requires<DistributionConcept<dist_test::lognormal > >();
+   function_requires<DistributionConcept<dist_test::negative_binomial > >();
+   function_requires<DistributionConcept<dist_test::non_central_chi_squared > >();
+   function_requires<DistributionConcept<dist_test::non_central_beta > >();
+   function_requires<DistributionConcept<dist_test::non_central_f > >();
+   function_requires<DistributionConcept<dist_test::non_central_t > >();
+   function_requires<DistributionConcept<dist_test::normal > >();
+   function_requires<DistributionConcept<dist_test::pareto > >();
+   function_requires<DistributionConcept<dist_test::poisson > >();
+   function_requires<DistributionConcept<dist_test::rayleigh > >();
+   function_requires<DistributionConcept<dist_test::students_t > >();
+   function_requires<DistributionConcept<dist_test::triangular > >();
+   function_requires<DistributionConcept<dist_test::uniform > >();
+   function_requires<DistributionConcept<dist_test::weibull > >();
+   function_requires<DistributionConcept<dist_test::hypergeometric > >();
+#endif
+#endif
+   int i = 1;
+   // Deal with unused variable warnings:
+   (void)i;
+   RealType v1(0.5), v2(0.5), v3(0.5);
+   boost::detail::dummy_constructor dc;
+   boost::output_iterator_archetype<RealType> oi(dc);
+#ifdef TEST_GROUP_4
+   boost::math::tgamma(v1);
+   boost::math::tgamma1pm1(v1);
+   boost::math::lgamma(v1);
+   boost::math::lgamma(v1, &i);
+   boost::math::digamma(v1);
+   boost::math::trigamma(v1);
+   boost::math::polygamma(i, v1);
+   boost::math::tgamma_ratio(v1, v2);
+   boost::math::tgamma_delta_ratio(v1, v2);
+   boost::math::factorial<RealType>(i);
+   boost::math::unchecked_factorial<RealType>(i);
+   i = boost::math::max_factorial<RealType>::value;
+   boost::math::double_factorial<RealType>(i);
+   boost::math::rising_factorial(v1, i);
+   boost::math::falling_factorial(v1, i);
+   boost::math::tgamma(v1, v2);
+   boost::math::tgamma_lower(v1, v2);
+   boost::math::gamma_p(v1, v2);
+   boost::math::gamma_q(v1, v2);
+   boost::math::gamma_p_inv(v1, v2);
+   boost::math::gamma_q_inv(v1, v2);
+   boost::math::gamma_p_inva(v1, v2);
+   boost::math::gamma_q_inva(v1, v2);
+   boost::math::erf(v1);
+   boost::math::erfc(v1);
+   boost::math::erf_inv(v1);
+   boost::math::erfc_inv(v1);
+   boost::math::beta(v1, v2);
+   boost::math::beta(v1, v2, v3);
+   boost::math::betac(v1, v2, v3);
+   boost::math::ibeta(v1, v2, v3);
+   boost::math::ibetac(v1, v2, v3);
+   boost::math::ibeta_inv(v1, v2, v3);
+   boost::math::ibetac_inv(v1, v2, v3);
+   boost::math::ibeta_inva(v1, v2, v3);
+   boost::math::ibetac_inva(v1, v2, v3);
+   boost::math::ibeta_invb(v1, v2, v3);
+   boost::math::ibetac_invb(v1, v2, v3);
+   boost::math::gamma_p_derivative(v2, v3);
+   boost::math::ibeta_derivative(v1, v2, v3);
+   boost::math::binomial_coefficient<RealType>(i, i);
+   (boost::math::fpclassify)(v1);
+   (boost::math::isfinite)(v1);
+   (boost::math::isnormal)(v1);
+   (boost::math::isnan)(v1);
+   (boost::math::isinf)(v1);
+   (boost::math::signbit)(v1);
+   (boost::math::copysign)(v1, v2);
+   (boost::math::changesign)(v1);
+   (boost::math::sign)(v1);
+   boost::math::log1p(v1);
+   boost::math::expm1(v1);
+   boost::math::cbrt(v1);
+   boost::math::sqrt1pm1(v1);
+   boost::math::powm1(v1, v2);
+   boost::math::legendre_p(1, v1);
+   boost::math::legendre_p(1, 0, v1);
+   boost::math::legendre_q(1, v1);
+   boost::math::legendre_p_prime(1, v1);
+   boost::math::legendre_next(2, v1, v2, v3);
+   boost::math::legendre_next(2, 2, v1, v2, v3);
+   boost::math::laguerre(1, v1);
+   boost::math::laguerre(2, 1, v1);
+   boost::math::laguerre(2u, 1u, v1);
+   boost::math::laguerre_next(2, v1, v2, v3);
+   boost::math::laguerre_next(2, 1, v1, v2, v3);
+   boost::math::hermite(1, v1);
+   boost::math::hermite_next(2, v1, v2, v3);
+   boost::math::chebyshev_next(v1, v2, v3);
+   boost::math::chebyshev_t(1, v1);
+   boost::math::chebyshev_u(1, v1);
+   boost::math::chebyshev_t_prime(1, v1);
+   boost::math::chebyshev_clenshaw_recurrence(&v1, 0, v2);
+   boost::math::spherical_harmonic_r(2, 1, v1, v2);
+   boost::math::spherical_harmonic_i(2, 1, v1, v2);
+   boost::math::ellint_1(v1);
+   boost::math::ellint_1(v1, v2);
+   boost::math::ellint_2(v1);
+   boost::math::ellint_2(v1, v2);
+   boost::math::ellint_3(v1, v2);
+   boost::math::ellint_3(v1, v2, v3);
+   boost::math::ellint_d(v1);
+   boost::math::ellint_d(v1, v2);
+   boost::math::jacobi_zeta(v1, v2);
+   boost::math::heuman_lambda(v1, v2);
+   boost::math::ellint_rc(v1, v2);
+   boost::math::ellint_rd(v1, v2, v3);
+   boost::math::ellint_rf(v1, v2, v3);
+   boost::math::ellint_rg(v1, v2, v3);
+   boost::math::ellint_rj(v1, v2, v3, v1);
+   boost::math::jacobi_elliptic(v1, v2, &v1, &v2);
+   boost::math::jacobi_cd(v1, v2);
+   boost::math::jacobi_cn(v1, v2);
+   boost::math::jacobi_cs(v1, v2);
+   boost::math::jacobi_dc(v1, v2);
+   boost::math::jacobi_dn(v1, v2);
+   boost::math::jacobi_ds(v1, v2);
+   boost::math::jacobi_nc(v1, v2);
+   boost::math::jacobi_nd(v1, v2);
+   boost::math::jacobi_ns(v1, v2);
+   boost::math::jacobi_sc(v1, v2);
+   boost::math::jacobi_sd(v1, v2);
+   boost::math::jacobi_sn(v1, v2);
+   boost::math::hypot(v1, v2);
+   boost::math::sinc_pi(v1);
+   boost::math::sinhc_pi(v1);
+   boost::math::asinh(v1);
+   boost::math::acosh(v1);
+   boost::math::atanh(v1);
+   boost::math::sin_pi(v1);
+   boost::math::cos_pi(v1);
+   boost::math::cyl_neumann(v1, v2);
+   boost::math::cyl_neumann(i, v2);
+   boost::math::cyl_bessel_j(v1, v2);
+   boost::math::cyl_bessel_j(i, v2);
+   boost::math::cyl_bessel_i(v1, v2);
+   boost::math::cyl_bessel_i(i, v2);
+   boost::math::cyl_bessel_k(v1, v2);
+   boost::math::cyl_bessel_k(i, v2);
+   boost::math::sph_bessel(i, v2);
+   boost::math::sph_bessel(i, 1);
+   boost::math::sph_neumann(i, v2);
+   boost::math::sph_neumann(i, i);
+   boost::math::cyl_neumann_prime(v1, v2);
+   boost::math::cyl_neumann_prime(i, v2);
+   boost::math::cyl_bessel_j_prime(v1, v2);
+   boost::math::cyl_bessel_j_prime(i, v2);
+   boost::math::cyl_bessel_i_prime(v1, v2);
+   boost::math::cyl_bessel_i_prime(i, v2);
+   boost::math::cyl_bessel_k_prime(v1, v2);
+   boost::math::cyl_bessel_k_prime(i, v2);
+   boost::math::sph_bessel_prime(i, v2);
+   boost::math::sph_bessel_prime(i, 1);
+   boost::math::sph_neumann_prime(i, v2);
+   boost::math::sph_neumann_prime(i, i);
+   boost::math::cyl_bessel_j_zero(v1, i);
+   boost::math::cyl_bessel_j_zero(v1, i, i, oi);
+   boost::math::cyl_neumann_zero(v1, i);
+   boost::math::cyl_neumann_zero(v1, i, i, oi);
+   boost::math::lambert_w0(v1);
+   boost::math::lambert_wm1(v1);
+   boost::math::lambert_w0_prime(v1);
+#ifdef TEST_COMPLEX
+   boost::math::cyl_hankel_1(v1, v2);
+   boost::math::cyl_hankel_1(i, v2);
+   boost::math::cyl_hankel_2(v1, v2);
+   boost::math::cyl_hankel_2(i, v2);
+   boost::math::sph_hankel_1(v1, v2);
+   boost::math::sph_hankel_1(i, v2);
+   boost::math::sph_hankel_2(v1, v2);
+   boost::math::sph_hankel_2(i, v2);
+#endif
+   boost::math::airy_ai(v1);
+   boost::math::airy_bi(v1);
+   boost::math::airy_ai_prime(v1);
+   boost::math::airy_bi_prime(v1);
+
+   boost::math::airy_ai_zero<RealType>(i);
+   boost::math::airy_bi_zero<RealType>(i);
+   boost::math::airy_ai_zero<RealType>(i, i, oi);
+   boost::math::airy_bi_zero<RealType>(i, i, oi);
+
+   boost::math::hypergeometric_1F0(v1, v2);
+   boost::math::hypergeometric_0F1(v1, v2);
+   boost::math::hypergeometric_2F0(v1, v2, v3);
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
+   boost::math::hypergeometric_1F1(v1, v2, v3);
+#ifndef BOOST_NO_CXX11_HDR_INITIALIZER_LIST
+   boost::math::hypergeometric_pFq({ v1 }, { v2 }, v3);
+#endif
+#endif
+
+   boost::math::expint(v1);
+   boost::math::expint(i);
+   boost::math::expint(i, v2);
+   boost::math::expint(i, i);
+   boost::math::zeta(v1);
+   boost::math::zeta(i);
+   boost::math::owens_t(v1, v2);
+   boost::math::trunc(v1);
+   boost::math::itrunc(v1);
+   boost::math::ltrunc(v1);
+   boost::math::round(v1);
+   boost::math::iround(v1);
+   boost::math::lround(v1);
+   boost::math::modf(v1, &v1);
+   boost::math::modf(v1, &i);
+   long l;
+   boost::math::modf(v1, &l);
+#ifdef BOOST_HAS_LONG_LONG
+   boost::math::lltrunc(v1);
+   boost::math::llround(v1);
+   boost::long_long_type ll;
+   boost::math::modf(v1, &ll);
+#endif
+   boost::math::pow<2>(v1);
+   boost::math::nextafter(v1, v1);
+   boost::math::float_next(v1);
+   boost::math::float_prior(v1);
+   boost::math::float_distance(v1, v1);
+   boost::math::ulp(v1);
+   boost::math::relative_difference(v1, v2);
+   boost::math::epsilon_difference(v1, v2);
+
+   boost::math::unchecked_bernoulli_b2n<RealType>(i);
+   boost::math::bernoulli_b2n<RealType>(i);
+   boost::math::bernoulli_b2n<RealType>(i, i, &v1);
+   boost::math::tangent_t2n<RealType>(i);
+   boost::math::tangent_t2n<RealType>(i, i, &v1);
+
+#endif
+#ifdef TEST_GROUP_9
+   //
+   // Over again, but arguments may be expression templates:
+   //
+   boost::math::tgamma(v1 + 0);
+   boost::math::tgamma1pm1(v1 + 0);
+   boost::math::lgamma(v1 * 1);
+   boost::math::lgamma(v1 * 1, &i);
+   boost::math::digamma(v1 * 1);
+   boost::math::trigamma(v1 * 1);
+   boost::math::polygamma(i, v1 * 1);
+   boost::math::tgamma_ratio(v1 * 1, v2 + 0);
+   boost::math::tgamma_delta_ratio(v1 * 1, v2 + 0);
+   boost::math::factorial<RealType>(i);
+   boost::math::unchecked_factorial<RealType>(i);
+   i = boost::math::max_factorial<RealType>::value;
+   boost::math::double_factorial<RealType>(i);
+   boost::math::rising_factorial(v1 * 1, i);
+   boost::math::falling_factorial(v1 * 1, i);
+   boost::math::tgamma(v1 * 1, v2 + 0);
+   boost::math::tgamma_lower(v1 * 1, v2 - 0);
+   boost::math::gamma_p(v1 * 1, v2 + 0);
+   boost::math::gamma_q(v1 * 1, v2 + 0);
+   boost::math::gamma_p_inv(v1 * 1, v2 + 0);
+   boost::math::gamma_q_inv(v1 * 1, v2 + 0);
+   boost::math::gamma_p_inva(v1 * 1, v2 + 0);
+   boost::math::gamma_q_inva(v1 * 1, v2 + 0);
+   boost::math::erf(v1 * 1);
+   boost::math::erfc(v1 * 1);
+   boost::math::erf_inv(v1 * 1);
+   boost::math::erfc_inv(v1 * 1);
+   boost::math::beta(v1 * 1, v2 + 0);
+   boost::math::beta(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::betac(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta_inv(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac_inv(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta_inva(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac_inva(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibeta_invb(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ibetac_invb(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::gamma_p_derivative(v2 * 1, v3 + 0);
+   boost::math::ibeta_derivative(v1 * 1, v2 + 0, v3 / 1);
+   (boost::math::fpclassify)(v1 * 1);
+   (boost::math::isfinite)(v1 * 1);
+   (boost::math::isnormal)(v1 * 1);
+   (boost::math::isnan)(v1 * 1);
+   (boost::math::isinf)(v1 * 1);
+   (boost::math::signbit)(v1 * 1);
+   (boost::math::copysign)(v1 * 1, v2 + 0);
+   (boost::math::changesign)(v1 * 1);
+   (boost::math::sign)(v1 * 1);
+   boost::math::log1p(v1 * 1);
+   boost::math::expm1(v1 * 1);
+   boost::math::cbrt(v1 * 1);
+   boost::math::sqrt1pm1(v1 * 1);
+   boost::math::powm1(v1 * 1, v2 + 0);
+   boost::math::legendre_p(1, v1 * 1);
+   boost::math::legendre_p(1, 0, v1 * 1);
+   boost::math::legendre_p_prime(1, v1 * 1);
+   boost::math::legendre_q(1, v1 * 1);
+   boost::math::legendre_next(2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::legendre_next(2, 2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::laguerre(1, v1 * 1);
+   boost::math::laguerre(2, 1, v1 * 1);
+   boost::math::laguerre(2u, 1u, v1 * 1);
+   boost::math::laguerre_next(2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::laguerre_next(2, 1, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::hermite(1, v1 * 1);
+   boost::math::hermite_next(2, v1 * 1, v2 + 0, v3 / 1);
+   boost::math::chebyshev_next(2 * v1, 1 + v2, 3 * v3);
+   boost::math::chebyshev_t(1, 2 * v1);
+   boost::math::chebyshev_u(1, 2 * v1);
+   boost::math::chebyshev_t_prime(1, 2 * v1);
+   boost::math::chebyshev_clenshaw_recurrence(&v1, 0, 2 * v2);
+   boost::math::spherical_harmonic_r(2, 1, v1 * 1, v2 + 0);
+   boost::math::spherical_harmonic_i(2, 1, v1 * 1, v2 + 0);
+   boost::math::ellint_1(v1 * 1);
+   boost::math::ellint_1(v1 * 1, v2 + 0);
+   boost::math::ellint_2(v1 * 1);
+   boost::math::ellint_2(v1 * 1, v2 + 0);
+   boost::math::ellint_3(v1 * 1, v2 + 0);
+   boost::math::ellint_3(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rc(v1 * 1, v2 + 0);
+   boost::math::ellint_rd(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rf(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rg(v1 * 1, v2 + 0, v3 / 1);
+   boost::math::ellint_rj(v1 * 1, v2 + 0, v3 / 1, v1 * 1);
+   boost::math::ellint_d(v1 * 1);
+   boost::math::ellint_d(v1 * 1, v2 + 0);
+   boost::math::jacobi_zeta(v1 * 1, v2 + 0);
+   boost::math::heuman_lambda(v1 * 1, v2 + 0);
+   boost::math::jacobi_elliptic(v1 * 1, v2 + 0, &v1, &v2);
+   boost::math::jacobi_cd(v1 * 1, v2 + 0);
+   boost::math::jacobi_cn(v1 * 1, v2 + 0);
+   boost::math::jacobi_cs(v1 * 1, v2 + 0);
+   boost::math::jacobi_dc(v1 * 1, v2 + 0);
+   boost::math::jacobi_dn(v1 * 1, v2 + 0);
+   boost::math::jacobi_ds(v1 * 1, v2 + 0);
+   boost::math::jacobi_nc(v1 * 1, v2 + 0);
+   boost::math::jacobi_nd(v1 * 1, v2 + 0);
+   boost::math::jacobi_ns(v1 * 1, v2 + 0);
+   boost::math::jacobi_sc(v1 * 1, v2 + 0);
+   boost::math::jacobi_sd(v1 * 1, v2 + 0);
+   boost::math::jacobi_sn(v1 * 1, v2 + 0);
+   boost::math::hypot(v1 * 1, v2 + 0);
+   boost::math::sinc_pi(v1 * 1);
+   boost::math::sinhc_pi(v1 * 1);
+   boost::math::asinh(v1 * 1);
+   boost::math::acosh(v1 * 1);
+   boost::math::atanh(v1 * 1);
+   boost::math::sin_pi(v1 * 1);
+   boost::math::cos_pi(v1 * 1);
+   boost::math::cyl_neumann(v1 * 1, v2 + 0);
+   boost::math::cyl_neumann(i, v2 * 1);
+   boost::math::cyl_bessel_j(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_j(i, v2 * 1);
+   boost::math::cyl_bessel_i(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_i(i, v2 * 1);
+   boost::math::cyl_bessel_k(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_k(i, v2 * 1);
+   boost::math::sph_bessel(i, v2 * 1);
+   boost::math::sph_bessel(i, 1);
+   boost::math::sph_neumann(i, v2 * 1);
+   boost::math::sph_neumann(i, i);
+   boost::math::cyl_neumann_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_neumann_prime(i, v2 * 1);
+   boost::math::cyl_bessel_j_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_j_prime(i, v2 * 1);
+   boost::math::cyl_bessel_i_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_i_prime(i, v2 * 1);
+   boost::math::cyl_bessel_k_prime(v1 * 1, v2 + 0);
+   boost::math::cyl_bessel_k_prime(i, v2 * 1);
+   boost::math::sph_bessel_prime(i, v2 * 1);
+   boost::math::sph_bessel_prime(i, 1);
+   boost::math::sph_neumann_prime(i, v2 * 1);
+   boost::math::sph_neumann_prime(i, i);
+   boost::math::cyl_bessel_j_zero(v1 * 1, i);
+   boost::math::cyl_bessel_j_zero(v1 * 1, i, i, oi);
+   boost::math::cyl_neumann_zero(v1 * 1, i);
+   boost::math::cyl_neumann_zero(v1 * 1, i, i, oi);
+   boost::math::lambert_w0(v1 * 1);
+   boost::math::lambert_wm1(v1 * 1);
+   boost::math::lambert_w0_prime(v1 * 1);
+#ifdef TEST_COMPLEX
+   boost::math::cyl_hankel_1(v1, v2);
+   boost::math::cyl_hankel_1(i, v2);
+   boost::math::cyl_hankel_2(v1, v2);
+   boost::math::cyl_hankel_2(i, v2);
+   boost::math::sph_hankel_1(v1, v2);
+   boost::math::sph_hankel_1(i, v2);
+   boost::math::sph_hankel_2(v1, v2);
+   boost::math::sph_hankel_2(i, v2);
+#endif
+   boost::math::airy_ai(v1 * 1);
+   boost::math::airy_bi(v1 * 1);
+   boost::math::airy_ai_prime(v1 * 1);
+   boost::math::airy_bi_prime(v1 * 1);
+   boost::math::expint(v1 * 1);
+   boost::math::expint(i);
+   boost::math::expint(i, v2 * 1);
+   boost::math::expint(i, i);
+   boost::math::zeta(v1 * 1);
+   boost::math::zeta(i);
+   boost::math::owens_t(v1 * 1, v2 + 0);
+   boost::math::trunc(v1 * 1);
+   boost::math::itrunc(v1 * 1);
+   boost::math::ltrunc(v1 * 1);
+   boost::math::round(v1 * 1);
+   boost::math::iround(v1 * 1);
+   boost::math::lround(v1 * 1);
+   //boost::math::modf(v1 * 1, &v1);
+   //boost::math::modf(v1 * 1, &i);
+   //long l;
+   //boost::math::modf(v1 * 1, &l);
+#ifdef BOOST_HAS_LONG_LONG
+   boost::math::lltrunc(v1 * 1);
+   boost::math::llround(v1 * 1);
+   //boost::long_long_type ll;
+   //boost::math::modf(v1 * 1, &ll);
+#endif
+   boost::math::pow<2>(v1 * 1);
+   boost::math::nextafter(v1 * 1, v1 + 0);
+   boost::math::float_next(v1 * 1);
+   boost::math::float_prior(v1 * 1);
+   boost::math::float_distance(v1 * 1, v1 * 1);
+   boost::math::ulp(v1 * 1);
+   boost::math::relative_difference(v1 * 1, v2 * 1);
+   boost::math::epsilon_difference(v1 * 1, v2 * 1);
+#endif
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+#ifdef TEST_GROUP_5
+   //
+   // All over again, with a policy this time:
+   //
+   test_policy pol;
+   boost::math::tgamma(v1, pol);
+   boost::math::tgamma1pm1(v1, pol);
+   boost::math::lgamma(v1, pol);
+   boost::math::lgamma(v1, &i, pol);
+   boost::math::digamma(v1, pol);
+   boost::math::trigamma(v1, pol);
+   boost::math::polygamma(i, v1, pol);
+   boost::math::tgamma_ratio(v1, v2, pol);
+   boost::math::tgamma_delta_ratio(v1, v2, pol);
+   boost::math::factorial<RealType>(i, pol);
+   boost::math::unchecked_factorial<RealType>(i);
+   i = boost::math::max_factorial<RealType>::value;
+   boost::math::double_factorial<RealType>(i, pol);
+   boost::math::rising_factorial(v1, i, pol);
+   boost::math::falling_factorial(v1, i, pol);
+   boost::math::tgamma(v1, v2, pol);
+   boost::math::tgamma_lower(v1, v2, pol);
+   boost::math::gamma_p(v1, v2, pol);
+   boost::math::gamma_q(v1, v2, pol);
+   boost::math::gamma_p_inv(v1, v2, pol);
+   boost::math::gamma_q_inv(v1, v2, pol);
+   boost::math::gamma_p_inva(v1, v2, pol);
+   boost::math::gamma_q_inva(v1, v2, pol);
+   boost::math::erf(v1, pol);
+   boost::math::erfc(v1, pol);
+   boost::math::erf_inv(v1, pol);
+   boost::math::erfc_inv(v1, pol);
+   boost::math::beta(v1, v2, pol);
+   boost::math::beta(v1, v2, v3, pol);
+   boost::math::betac(v1, v2, v3, pol);
+   boost::math::ibeta(v1, v2, v3, pol);
+   boost::math::ibetac(v1, v2, v3, pol);
+   boost::math::ibeta_inv(v1, v2, v3, pol);
+   boost::math::ibetac_inv(v1, v2, v3, pol);
+   boost::math::ibeta_inva(v1, v2, v3, pol);
+   boost::math::ibetac_inva(v1, v2, v3, pol);
+   boost::math::ibeta_invb(v1, v2, v3, pol);
+   boost::math::ibetac_invb(v1, v2, v3, pol);
+   boost::math::gamma_p_derivative(v2, v3, pol);
+   boost::math::ibeta_derivative(v1, v2, v3, pol);
+   boost::math::binomial_coefficient<RealType>(i, i, pol);
+   boost::math::log1p(v1, pol);
+   boost::math::expm1(v1, pol);
+   boost::math::cbrt(v1, pol);
+   boost::math::sqrt1pm1(v1, pol);
+   boost::math::powm1(v1, v2, pol);
+   boost::math::legendre_p(1, v1, pol);
+   boost::math::legendre_p(1, 0, v1, pol);
+   boost::math::legendre_p_prime(1, v1 * 1, pol);
+   boost::math::legendre_q(1, v1, pol);
+   boost::math::legendre_next(2, v1, v2, v3);
+   boost::math::legendre_next(2, 2, v1, v2, v3);
+   boost::math::laguerre(1, v1, pol);
+   boost::math::laguerre(2, 1, v1, pol);
+   boost::math::laguerre_next(2, v1, v2, v3);
+   boost::math::laguerre_next(2, 1, v1, v2, v3);
+   boost::math::hermite(1, v1, pol);
+   boost::math::hermite_next(2, v1, v2, v3);
+   boost::math::chebyshev_t(1, v1, pol);
+   boost::math::chebyshev_u(1, v1, pol);
+   boost::math::chebyshev_t_prime(1, v1, pol);
+   boost::math::spherical_harmonic_r(2, 1, v1, v2, pol);
+   boost::math::spherical_harmonic_i(2, 1, v1, v2, pol);
+   boost::math::ellint_1(v1, pol);
+   boost::math::ellint_1(v1, v2, pol);
+   boost::math::ellint_2(v1, pol);
+   boost::math::ellint_2(v1, v2, pol);
+   boost::math::ellint_3(v1, v2, pol);
+   boost::math::ellint_3(v1, v2, v3, pol);
+   boost::math::ellint_d(v1, pol);
+   boost::math::ellint_d(v1, v2, pol);
+   boost::math::jacobi_zeta(v1, v2, pol);
+   boost::math::heuman_lambda(v1, v2, pol);
+   boost::math::ellint_rc(v1, v2, pol);
+   boost::math::ellint_rd(v1, v2, v3, pol);
+   boost::math::ellint_rf(v1, v2, v3, pol);
+   boost::math::ellint_rg(v1, v2, v3, pol);
+   boost::math::ellint_rj(v1, v2, v3, v1, pol);
+   boost::math::jacobi_elliptic(v1, v2, &v1, &v2, pol);
+   boost::math::jacobi_cd(v1, v2, pol);
+   boost::math::jacobi_cn(v1, v2, pol);
+   boost::math::jacobi_cs(v1, v2, pol);
+   boost::math::jacobi_dc(v1, v2, pol);
+   boost::math::jacobi_dn(v1, v2, pol);
+   boost::math::jacobi_ds(v1, v2, pol);
+   boost::math::jacobi_nc(v1, v2, pol);
+   boost::math::jacobi_nd(v1, v2, pol);
+   boost::math::jacobi_ns(v1, v2, pol);
+   boost::math::jacobi_sc(v1, v2, pol);
+   boost::math::jacobi_sd(v1, v2, pol);
+   boost::math::jacobi_sn(v1, v2, pol);
+   boost::math::hypot(v1, v2, pol);
+   boost::math::sinc_pi(v1, pol);
+   boost::math::sinhc_pi(v1, pol);
+   boost::math::asinh(v1, pol);
+   boost::math::acosh(v1, pol);
+   boost::math::atanh(v1, pol);
+   boost::math::sin_pi(v1, pol);
+   boost::math::cos_pi(v1, pol);
+   boost::math::cyl_neumann(v1, v2, pol);
+   boost::math::cyl_neumann(i, v2, pol);
+   boost::math::cyl_bessel_j(v1, v2, pol);
+   boost::math::cyl_bessel_j(i, v2, pol);
+   boost::math::cyl_bessel_i(v1, v2, pol);
+   boost::math::cyl_bessel_i(i, v2, pol);
+   boost::math::cyl_bessel_k(v1, v2, pol);
+   boost::math::cyl_bessel_k(i, v2, pol);
+   boost::math::sph_bessel(i, v2, pol);
+   boost::math::sph_bessel(i, 1, pol);
+   boost::math::sph_neumann(i, v2, pol);
+   boost::math::sph_neumann(i, i, pol);
+   boost::math::cyl_neumann_prime(v1, v2, pol);
+   boost::math::cyl_neumann_prime(i, v2, pol);
+   boost::math::cyl_bessel_j_prime(v1, v2, pol);
+   boost::math::cyl_bessel_j_prime(i, v2, pol);
+   boost::math::cyl_bessel_i_prime(v1, v2, pol);
+   boost::math::cyl_bessel_i_prime(i, v2, pol);
+   boost::math::cyl_bessel_k_prime(v1, v2, pol);
+   boost::math::cyl_bessel_k_prime(i, v2, pol);
+   boost::math::sph_bessel_prime(i, v2, pol);
+   boost::math::sph_bessel_prime(i, 1, pol);
+   boost::math::sph_neumann_prime(i, v2, pol);
+   boost::math::sph_neumann_prime(i, i, pol);
+   boost::math::cyl_bessel_j_zero(v1, i, pol);
+   boost::math::cyl_bessel_j_zero(v1, i, i, oi, pol);
+   boost::math::cyl_neumann_zero(v1, i, pol);
+   boost::math::cyl_neumann_zero(v1, i, i, oi, pol);
+   boost::math::lambert_w0(v1, pol);
+   boost::math::lambert_wm1(v1, pol);
+   boost::math::lambert_w0_prime(v1, pol);
+#ifdef TEST_COMPLEX
+   boost::math::cyl_hankel_1(v1, v2, pol);
+   boost::math::cyl_hankel_1(i, v2, pol);
+   boost::math::cyl_hankel_2(v1, v2, pol);
+   boost::math::cyl_hankel_2(i, v2, pol);
+   boost::math::sph_hankel_1(v1, v2, pol);
+   boost::math::sph_hankel_1(i, v2, pol);
+   boost::math::sph_hankel_2(v1, v2, pol);
+   boost::math::sph_hankel_2(i, v2, pol);
+#endif
+   boost::math::airy_ai(v1, pol);
+   boost::math::airy_bi(v1, pol);
+   boost::math::airy_ai_prime(v1, pol);
+   boost::math::airy_bi_prime(v1, pol);
+
+   boost::math::airy_ai_zero<RealType>(i, pol);
+   boost::math::airy_bi_zero<RealType>(i, pol);
+   boost::math::airy_ai_zero<RealType>(i, i, oi, pol);
+   boost::math::airy_bi_zero<RealType>(i, i, oi, pol);
+
+   boost::math::hypergeometric_1F0(i, v2, pol);
+   boost::math::hypergeometric_1F0(v1, i, pol);
+   boost::math::hypergeometric_1F0(i, i, pol);
+   boost::math::hypergeometric_0F1(i, v2, pol);
+   boost::math::hypergeometric_0F1(v1, i, pol);
+   boost::math::hypergeometric_0F1(i, i, pol);
+   boost::math::hypergeometric_2F0(i, v2, v3, pol);
+   boost::math::hypergeometric_2F0(v1, i, v3, pol);
+   boost::math::hypergeometric_2F0(v1, v2, i, pol);
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
+   boost::math::hypergeometric_1F1(i, v2, v3, pol);
+   boost::math::hypergeometric_1F1(v1, i, v3, pol);
+   boost::math::hypergeometric_1F1(v1, v2, i, pol);
+#endif
+
+   boost::math::expint(v1, pol);
+   boost::math::expint(i, pol);
+   boost::math::expint(i, v2, pol);
+   boost::math::expint(i, i, pol);
+   boost::math::zeta(v1, pol);
+   boost::math::zeta(i, pol);
+   boost::math::owens_t(v1, v2, pol);
+   //
+   // These next functions are intended to be found via ADL:
+   //
+   BOOST_MATH_STD_USING
+   trunc(v1, pol);
+   itrunc(v1, pol);
+   ltrunc(v1, pol);
+   round(v1, pol);
+   iround(v1, pol);
+   lround(v1, pol);
+   modf(v1, &v1, pol);
+   modf(v1, &i, pol);
+   modf(v1, &l, pol);
+#ifdef BOOST_HAS_LONG_LONG
+   using boost::math::lltrunc;
+   using boost::math::llround;
+   lltrunc(v1, pol);
+   llround(v1, pol);
+   modf(v1, &ll, pol);
+#endif
+   boost::math::pow<2>(v1, pol);
+   boost::math::nextafter(v1, v1, pol);
+   boost::math::float_next(v1, pol);
+   boost::math::float_prior(v1, pol);
+   boost::math::float_distance(v1, v1, pol);
+   boost::math::ulp(v1, pol);
+
+   boost::math::bernoulli_b2n<RealType>(i, pol);
+   boost::math::bernoulli_b2n<RealType>(i, i, &v1, pol);
+   boost::math::tangent_t2n<RealType>(i, pol);
+   boost::math::tangent_t2n<RealType>(i, i, &v1, pol);
+#endif
+#ifdef TEST_GROUP_6
+   //
+   // All over again with the versions in test::
+   //
+   test::tgamma(v1);
+   test::tgamma1pm1(v1);
+   test::lgamma(v1);
+   test::lgamma(v1, &i);
+   test::digamma(v1);
+   test::trigamma(v1);
+   test::polygamma(i, v1);
+   test::tgamma_ratio(v1, v2);
+   test::tgamma_delta_ratio(v1, v2);
+   test::factorial<RealType>(i);
+   test::unchecked_factorial<RealType>(i);
+   i = test::max_factorial<RealType>::value;
+   test::double_factorial<RealType>(i);
+   test::rising_factorial(v1, i);
+   test::falling_factorial(v1, i);
+   test::tgamma(v1, v2);
+   test::tgamma_lower(v1, v2);
+   test::gamma_p(v1, v2);
+   test::gamma_q(v1, v2);
+   test::gamma_p_inv(v1, v2);
+   test::gamma_q_inv(v1, v2);
+   test::gamma_p_inva(v1, v2);
+   test::gamma_q_inva(v1, v2);
+   test::erf(v1);
+   test::erfc(v1);
+   test::erf_inv(v1);
+   test::erfc_inv(v1);
+   test::beta(v1, v2);
+   test::beta(v1, v2, v3);
+   test::betac(v1, v2, v3);
+   test::ibeta(v1, v2, v3);
+   test::ibetac(v1, v2, v3);
+   test::ibeta_inv(v1, v2, v3);
+   test::ibetac_inv(v1, v2, v3);
+   test::ibeta_inva(v1, v2, v3);
+   test::ibetac_inva(v1, v2, v3);
+   test::ibeta_invb(v1, v2, v3);
+   test::ibetac_invb(v1, v2, v3);
+   test::gamma_p_derivative(v2, v3);
+   test::ibeta_derivative(v1, v2, v3);
+   test::binomial_coefficient<RealType>(i, i);
+   (test::fpclassify)(v1);
+   (test::isfinite)(v1);
+   (test::isnormal)(v1);
+   (test::isnan)(v1);
+   (test::isinf)(v1);
+   (test::signbit)(v1);
+   (test::copysign)(v1, v2);
+   (test::changesign)(v1);
+   (test::sign)(v1);
+   test::log1p(v1);
+   test::expm1(v1);
+   test::cbrt(v1);
+   test::sqrt1pm1(v1);
+   test::powm1(v1, v2);
+   test::legendre_p(1, v1);
+   test::legendre_p(1, 0, v1);
+   test::legendre_p_prime(1, v1 * 1);
+   test::legendre_q(1, v1);
+   test::legendre_next(2, v1, v2, v3);
+   test::legendre_next(2, 2, v1, v2, v3);
+   test::laguerre(1, v1);
+   test::laguerre(2, 1, v1);
+   test::laguerre_next(2, v1, v2, v3);
+   test::laguerre_next(2, 1, v1, v2, v3);
+   test::hermite(1, v1);
+   test::hermite_next(2, v1, v2, v3);
+   test::chebyshev_next(v1, v2, v3);
+   test::chebyshev_t(1, v1);
+   test::chebyshev_u(1, v1);
+   test::chebyshev_t_prime(1, v1);
+   test::chebyshev_clenshaw_recurrence(&v1, 0, v2);
+   test::spherical_harmonic_r(2, 1, v1, v2);
+   test::spherical_harmonic_i(2, 1, v1, v2);
+   test::ellint_1(v1);
+   test::ellint_1(v1, v2);
+   test::ellint_2(v1);
+   test::ellint_2(v1, v2);
+   test::ellint_3(v1, v2);
+   test::ellint_3(v1, v2, v3);
+   test::ellint_d(v1);
+   test::ellint_d(v1, v2);
+   test::jacobi_zeta(v1, v2);
+   test::heuman_lambda(v1, v2);
+   test::ellint_rc(v1, v2);
+   test::ellint_rd(v1, v2, v3);
+   test::ellint_rf(v1, v2, v3);
+   test::ellint_rg(v1, v2, v3);
+   test::ellint_rj(v1, v2, v3, v1);
+   test::jacobi_elliptic(v1, v2, &v1, &v2);
+   test::jacobi_cd(v1, v2);
+   test::jacobi_cn(v1, v2);
+   test::jacobi_cs(v1, v2);
+   test::jacobi_dc(v1, v2);
+   test::jacobi_dn(v1, v2);
+   test::jacobi_ds(v1, v2);
+   test::jacobi_nc(v1, v2);
+   test::jacobi_nd(v1, v2);
+   test::jacobi_ns(v1, v2);
+   test::jacobi_sc(v1, v2);
+   test::jacobi_sd(v1, v2);
+   test::jacobi_sn(v1, v2);
+   test::hypot(v1, v2);
+   test::sinc_pi(v1);
+   test::sinhc_pi(v1);
+   test::asinh(v1);
+   test::acosh(v1);
+   test::atanh(v1);
+   test::sin_pi(v1);
+   test::cos_pi(v1);
+   test::cyl_neumann(v1, v2);
+   test::cyl_neumann(i, v2);
+   test::cyl_bessel_j(v1, v2);
+   test::cyl_bessel_j(i, v2);
+   test::cyl_bessel_i(v1, v2);
+   test::cyl_bessel_i(i, v2);
+   test::cyl_bessel_k(v1, v2);
+   test::cyl_bessel_k(i, v2);
+   test::sph_bessel(i, v2);
+   test::sph_bessel(i, 1);
+   test::sph_neumann(i, v2);
+   test::sph_neumann(i, i);
+   test::cyl_neumann_prime(v1, v2);
+   test::cyl_neumann_prime(i, v2);
+   test::cyl_bessel_j_prime(v1, v2);
+   test::cyl_bessel_j_prime(i, v2);
+   test::cyl_bessel_i_prime(v1, v2);
+   test::cyl_bessel_i_prime(i, v2);
+   test::cyl_bessel_k_prime(v1, v2);
+   test::cyl_bessel_k_prime(i, v2);
+   test::sph_bessel_prime(i, v2);
+   test::sph_bessel_prime(i, 1);
+   test::sph_neumann_prime(i, v2);
+   test::sph_neumann_prime(i, i);
+   test::cyl_bessel_j_zero(v1, i);
+   test::cyl_bessel_j_zero(v1, i, i, oi);
+   test::cyl_neumann_zero(v1, i);
+   test::cyl_neumann_zero(v1, i, i, oi);
+   test::lambert_w0(v1);
+   test::lambert_wm1(v1);
+   test::lambert_w0_prime(v1);
+#ifdef TEST_COMPLEX
+   test::cyl_hankel_1(v1, v2);
+   test::cyl_hankel_1(i, v2);
+   test::cyl_hankel_2(v1, v2);
+   test::cyl_hankel_2(i, v2);
+   test::sph_hankel_1(v1, v2);
+   test::sph_hankel_1(i, v2);
+   test::sph_hankel_2(v1, v2);
+   test::sph_hankel_2(i, v2);
+#endif
+   test::airy_ai(i);
+   test::airy_bi(i);
+   test::airy_ai_prime(i);
+   test::airy_bi_prime(i);
+
+   test::airy_ai_zero<RealType>(i);
+   test::airy_bi_zero<RealType>(i);
+   test::airy_ai_zero<RealType>(i, i, oi);
+   test::airy_bi_zero<RealType>(i, i, oi);
+
+   test::hypergeometric_1F0(v1, v2);
+   test::hypergeometric_0F1(v1, v2);
+   test::hypergeometric_2F0(v1, v1, v2);
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
+   test::hypergeometric_1F1(v1, v2, v2);
+#endif
+
+   test::expint(v1);
+   test::expint(i);
+   test::expint(i, v2);
+   test::expint(i, i);
+   test::zeta(v1);
+   test::zeta(i);
+   test::owens_t(v1, v2);
+   test::trunc(v1);
+   test::itrunc(v1);
+   test::ltrunc(v1);
+   test::round(v1);
+   test::iround(v1);
+   test::lround(v1);
+   test::modf(v1, &v1);
+   test::modf(v1, &i);
+   test::modf(v1, &l);
+#ifdef BOOST_HAS_LONG_LONG
+   test::lltrunc(v1);
+   test::llround(v1);
+   test::modf(v1, &ll);
+#endif
+   test::pow<2>(v1);
+   test::nextafter(v1, v1);
+   test::float_next(v1);
+   test::float_prior(v1);
+   test::float_distance(v1, v1);
+   test::ulp(v1);
+#endif
+#endif
+}
+
+template <class RealType>
+void instantiate_mixed(RealType)
+{
+   using namespace boost;
+   using namespace boost::math;
+#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
+   int i = 1;
+   (void)i;
+   long l = 1;
+   (void)l;
+   short s = 1;
+   (void)s;
+   float fr = 0.5F;
+   (void)fr;
+   double dr = 0.5;
+   (void)dr;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   long double lr = 0.5L;
+   (void)lr;
+#else
+   double lr = 0.5L;
+   (void)lr;
+#endif
+#ifdef TEST_GROUP_7
+   boost::math::tgamma(i);
+   boost::math::tgamma1pm1(i);
+   boost::math::lgamma(i);
+   boost::math::lgamma(i, &i);
+   boost::math::digamma(i);
+   boost::math::trigamma(i);
+   boost::math::polygamma(i, i);
+   boost::math::tgamma_ratio(i, l);
+   boost::math::tgamma_ratio(fr, lr);
+   boost::math::tgamma_delta_ratio(i, s);
+   boost::math::tgamma_delta_ratio(fr, lr);
+   boost::math::rising_factorial(s, i);
+   boost::math::falling_factorial(s, i);
+   boost::math::tgamma(i, l);
+   boost::math::tgamma(fr, lr);
+   boost::math::tgamma_lower(i, s);
+   boost::math::tgamma_lower(fr, lr);
+   boost::math::gamma_p(i, s);
+   boost::math::gamma_p(fr, lr);
+   boost::math::gamma_q(i, s);
+   boost::math::gamma_q(fr, lr);
+   boost::math::gamma_p_inv(i, fr);
+   boost::math::gamma_q_inv(s, fr);
+   boost::math::gamma_p_inva(i, lr);
+   boost::math::gamma_q_inva(i, lr);
+   boost::math::erf(i);
+   boost::math::erfc(i);
+   boost::math::erf_inv(i);
+   boost::math::erfc_inv(i);
+   boost::math::beta(i, s);
+   boost::math::beta(fr, lr);
+   boost::math::beta(i, s, l);
+   boost::math::beta(fr, dr, lr);
+   boost::math::betac(l, i, s);
+   boost::math::betac(fr, dr, lr);
+   boost::math::ibeta(l, i, s);
+   boost::math::ibeta(fr, dr, lr);
+   boost::math::ibetac(l, i, s);
+   boost::math::ibetac(fr, dr, lr);
+   boost::math::ibeta_inv(l, s, i);
+   boost::math::ibeta_inv(fr, dr, lr);
+   boost::math::ibetac_inv(l, i, s);
+   boost::math::ibetac_inv(fr, dr, lr);
+   boost::math::ibeta_inva(l, i, s);
+   boost::math::ibeta_inva(fr, dr, lr);
+   boost::math::ibetac_inva(l, i, s);
+   boost::math::ibetac_inva(fr, dr, lr);
+   boost::math::ibeta_invb(l, i, s);
+   boost::math::ibeta_invb(fr, dr, lr);
+   boost::math::ibetac_invb(l, i, s);
+   boost::math::ibetac_invb(fr, dr, lr);
+   boost::math::gamma_p_derivative(i, l);
+   boost::math::gamma_p_derivative(fr, lr);
+   boost::math::ibeta_derivative(l, i, s);
+   boost::math::ibeta_derivative(fr, dr, lr);
+   (boost::math::fpclassify)(i);
+   (boost::math::isfinite)(s);
+   (boost::math::isnormal)(l);
+   (boost::math::isnan)(i);
+   (boost::math::isinf)(l);
+   boost::math::log1p(i);
+   boost::math::expm1(s);
+   boost::math::cbrt(l);
+   boost::math::sqrt1pm1(s);
+   boost::math::powm1(i, s);
+   boost::math::powm1(fr, lr);
+   //boost::math::legendre_p(1, i);
+   boost::math::legendre_p(1, 0, s);
+   boost::math::legendre_q(1, i);
+   boost::math::laguerre(1, i);
+   boost::math::laguerre(2, 1, i);
+   boost::math::laguerre(2u, 1u, s);
+   boost::math::hermite(1, s);
+   boost::math::chebyshev_t(1, i);
+   boost::math::chebyshev_u(1, i);
+   boost::math::chebyshev_t_prime(1, i);
+   boost::math::spherical_harmonic_r(2, 1, s, i);
+   boost::math::spherical_harmonic_i(2, 1, fr, lr);
+   boost::math::ellint_1(i);
+   boost::math::ellint_1(i, s);
+   boost::math::ellint_1(fr, lr);
+   boost::math::ellint_2(i);
+   boost::math::ellint_2(i, l);
+   boost::math::ellint_2(fr, lr);
+   boost::math::ellint_3(i, l);
+   boost::math::ellint_3(fr, lr);
+   boost::math::ellint_3(s, l, i);
+   boost::math::ellint_3(fr, dr, lr);
+   boost::math::ellint_d(i);
+   boost::math::ellint_d(i, l);
+   boost::math::ellint_d(fr, lr);
+   boost::math::jacobi_zeta(i, l);
+   boost::math::jacobi_zeta(fr, lr);
+   boost::math::heuman_lambda(i, l);
+   boost::math::heuman_lambda(fr, lr);
+   boost::math::ellint_rc(i, s);
+   boost::math::ellint_rc(fr, lr);
+   boost::math::ellint_rd(s, i, l);
+   boost::math::ellint_rd(fr, lr, dr);
+   boost::math::ellint_rf(s, l, i);
+   boost::math::ellint_rf(fr, dr, lr);
+   boost::math::ellint_rg(s, l, i);
+   boost::math::ellint_rg(fr, dr, lr);
+   boost::math::ellint_rj(i, i, s, l);
+   boost::math::ellint_rj(i, fr, dr, lr);
+   boost::math::jacobi_cd(i, fr);
+   boost::math::jacobi_cn(i, fr);
+   boost::math::jacobi_cs(i, fr);
+   boost::math::jacobi_dc(i, fr);
+   boost::math::jacobi_dn(i, fr);
+   boost::math::jacobi_ds(i, fr);
+   boost::math::jacobi_nc(i, fr);
+   boost::math::jacobi_nd(i, fr);
+   boost::math::jacobi_ns(i, fr);
+   boost::math::jacobi_sc(i, fr);
+   boost::math::jacobi_sd(i, fr);
+   boost::math::jacobi_sn(i, fr);
+   boost::math::hypot(i, s);
+   boost::math::hypot(fr, lr);
+   boost::math::sinc_pi(i);
+   boost::math::sinhc_pi(i);
+   boost::math::asinh(s);
+   boost::math::acosh(l);
+   boost::math::atanh(l);
+   boost::math::sin_pi(s);
+   boost::math::cos_pi(s);
+   boost::math::cyl_neumann(fr, dr);
+   boost::math::cyl_neumann(i, s);
+   boost::math::cyl_bessel_j(fr, lr);
+   boost::math::cyl_bessel_j(i, s);
+   boost::math::cyl_bessel_i(fr, lr);
+   boost::math::cyl_bessel_i(i, s);
+   boost::math::cyl_bessel_k(fr, lr);
+   boost::math::cyl_bessel_k(i, s);
+   boost::math::sph_bessel(i, fr);
+   boost::math::sph_bessel(i, 1);
+   boost::math::sph_neumann(i, lr);
+   boost::math::sph_neumann(i, i);
+   boost::math::cyl_neumann_prime(fr, dr);
+   boost::math::cyl_neumann_prime(i, s);
+   boost::math::cyl_bessel_j_prime(fr, lr);
+   boost::math::cyl_bessel_j_prime(i, s);
+   boost::math::cyl_bessel_i_prime(fr, lr);
+   boost::math::cyl_bessel_i_prime(i, s);
+   boost::math::cyl_bessel_k_prime(fr, lr);
+   boost::math::cyl_bessel_k_prime(i, s);
+   boost::math::sph_bessel_prime(i, fr);
+   boost::math::sph_bessel_prime(i, 1);
+   boost::math::sph_neumann_prime(i, lr);
+   boost::math::sph_neumann_prime(i, i);
+   boost::math::owens_t(fr, dr);
+   boost::math::owens_t(i, s);
+
+   boost::math::policies::policy<> pol;
+
+
+   boost::math::tgamma(i, pol);
+   boost::math::tgamma1pm1(i, pol);
+   boost::math::lgamma(i, pol);
+   boost::math::lgamma(i, &i, pol);
+   boost::math::digamma(i, pol);
+   boost::math::trigamma(i, pol);
+   boost::math::polygamma(i, i, pol);
+   boost::math::tgamma_ratio(i, l, pol);
+   boost::math::tgamma_ratio(fr, lr, pol);
+   boost::math::tgamma_delta_ratio(i, s, pol);
+   boost::math::tgamma_delta_ratio(fr, lr, pol);
+   boost::math::rising_factorial(s, i, pol);
+   boost::math::falling_factorial(s, i, pol);
+   boost::math::tgamma(i, l, pol);
+   boost::math::tgamma(fr, lr, pol);
+   boost::math::tgamma_lower(i, s, pol);
+   boost::math::tgamma_lower(fr, lr, pol);
+   boost::math::gamma_p(i, s, pol);
+   boost::math::gamma_p(fr, lr, pol);
+   boost::math::gamma_q(i, s, pol);
+   boost::math::gamma_q(fr, lr, pol);
+   boost::math::gamma_p_inv(i, fr, pol);
+   boost::math::gamma_q_inv(s, fr, pol);
+   boost::math::gamma_p_inva(i, lr, pol);
+   boost::math::gamma_q_inva(i, lr, pol);
+   boost::math::erf(i, pol);
+   boost::math::erfc(i, pol);
+   boost::math::erf_inv(i, pol);
+   boost::math::erfc_inv(i, pol);
+   boost::math::beta(i, s, pol);
+   boost::math::beta(fr, lr, pol);
+   boost::math::beta(i, s, l, pol);
+   boost::math::beta(fr, dr, lr, pol);
+   boost::math::betac(l, i, s, pol);
+   boost::math::betac(fr, dr, lr, pol);
+   boost::math::ibeta(l, i, s, pol);
+   boost::math::ibeta(fr, dr, lr, pol);
+   boost::math::ibetac(l, i, s, pol);
+   boost::math::ibetac(fr, dr, lr, pol);
+   boost::math::ibeta_inv(l, s, i, pol);
+   boost::math::ibeta_inv(fr, dr, lr, pol);
+   boost::math::ibetac_inv(l, i, s, pol);
+   boost::math::ibetac_inv(fr, dr, lr, pol);
+   boost::math::ibeta_inva(l, i, s, pol);
+   boost::math::ibeta_inva(fr, dr, lr, pol);
+   boost::math::ibetac_inva(l, i, s, pol);
+   boost::math::ibetac_inva(fr, dr, lr, pol);
+   boost::math::ibeta_invb(l, i, s, pol);
+   boost::math::ibeta_invb(fr, dr, lr, pol);
+   boost::math::ibetac_invb(l, i, s, pol);
+   boost::math::ibetac_invb(fr, dr, lr, pol);
+   boost::math::gamma_p_derivative(i, l, pol);
+   boost::math::gamma_p_derivative(fr, lr, pol);
+   boost::math::ibeta_derivative(l, i, s, pol);
+   boost::math::ibeta_derivative(fr, dr, lr, pol);
+   boost::math::log1p(i, pol);
+   boost::math::expm1(s, pol);
+   boost::math::cbrt(l, pol);
+   boost::math::sqrt1pm1(s, pol);
+   boost::math::powm1(i, s, pol);
+   boost::math::powm1(fr, lr, pol);
+   //boost::math::legendre_p(1, i, pol);
+   boost::math::legendre_p(1, 0, s, pol);
+   boost::math::legendre_q(1, i, pol);
+   boost::math::laguerre(1, i, pol);
+   boost::math::laguerre(2, 1, i, pol);
+   boost::math::laguerre(2u, 1u, s, pol);
+   boost::math::hermite(1, s, pol);
+   boost::math::chebyshev_t(1, i, pol);
+   boost::math::chebyshev_u(1, i, pol);
+   boost::math::chebyshev_t_prime(1, i, pol);
+   boost::math::spherical_harmonic_r(2, 1, s, i, pol);
+   boost::math::spherical_harmonic_i(2, 1, fr, lr, pol);
+   boost::math::ellint_1(i, pol);
+   boost::math::ellint_1(i, s, pol);
+   boost::math::ellint_1(fr, lr, pol);
+   boost::math::ellint_2(i, pol);
+   boost::math::ellint_2(i, l, pol);
+   boost::math::ellint_2(fr, lr, pol);
+   boost::math::ellint_3(i, l, pol);
+   boost::math::ellint_3(fr, lr, pol);
+   boost::math::ellint_3(s, l, i, pol);
+   boost::math::ellint_3(fr, dr, lr, pol);
+   boost::math::ellint_d(i, pol);
+   boost::math::ellint_d(i, l, pol);
+   boost::math::ellint_d(fr, lr, pol);
+   boost::math::jacobi_zeta(i, l, pol);
+   boost::math::jacobi_zeta(fr, lr, pol);
+   boost::math::heuman_lambda(i, l, pol);
+   boost::math::heuman_lambda(fr, lr, pol);
+   boost::math::ellint_rc(i, s, pol);
+   boost::math::ellint_rc(fr, lr, pol);
+   boost::math::ellint_rd(s, i, l, pol);
+   boost::math::ellint_rd(fr, lr, dr, pol);
+   boost::math::ellint_rf(s, l, i, pol);
+   boost::math::ellint_rf(fr, dr, lr, pol);
+   boost::math::ellint_rg(s, l, i, pol);
+   boost::math::ellint_rg(fr, dr, lr, pol);
+   boost::math::ellint_rj(i, i, s, l, pol);
+   boost::math::ellint_rj(i, fr, dr, lr, pol);
+   boost::math::jacobi_cd(i, fr, pol);
+   boost::math::jacobi_cn(i, fr, pol);
+   boost::math::jacobi_cs(i, fr, pol);
+   boost::math::jacobi_dc(i, fr, pol);
+   boost::math::jacobi_dn(i, fr, pol);
+   boost::math::jacobi_ds(i, fr, pol);
+   boost::math::jacobi_nc(i, fr, pol);
+   boost::math::jacobi_nd(i, fr, pol);
+   boost::math::jacobi_ns(i, fr, pol);
+   boost::math::jacobi_sc(i, fr, pol);
+   boost::math::jacobi_sd(i, fr, pol);
+   boost::math::jacobi_sn(i, fr, pol);
+   boost::math::hypot(i, s, pol);
+   boost::math::hypot(fr, lr, pol);
+   boost::math::sinc_pi(i, pol);
+   boost::math::sinhc_pi(i, pol);
+   boost::math::asinh(s, pol);
+   boost::math::acosh(l, pol);
+   boost::math::atanh(l, pol);
+   boost::math::sin_pi(s, pol);
+   boost::math::cos_pi(s, pol);
+   boost::math::cyl_neumann(fr, dr, pol);
+   boost::math::cyl_neumann(i, s, pol);
+   boost::math::cyl_bessel_j(fr, lr, pol);
+   boost::math::cyl_bessel_j(i, s, pol);
+   boost::math::cyl_bessel_i(fr, lr, pol);
+   boost::math::cyl_bessel_i(i, s, pol);
+   boost::math::cyl_bessel_k(fr, lr, pol);
+   boost::math::cyl_bessel_k(i, s, pol);
+   boost::math::sph_bessel(i, fr, pol);
+   boost::math::sph_bessel(i, 1, pol);
+   boost::math::sph_neumann(i, lr, pol);
+   boost::math::sph_neumann(i, i, pol);
+   boost::math::cyl_neumann_prime(fr, dr, pol);
+   boost::math::cyl_neumann_prime(i, s, pol);
+   boost::math::cyl_bessel_j_prime(fr, lr, pol);
+   boost::math::cyl_bessel_j_prime(i, s, pol);
+   boost::math::cyl_bessel_i_prime(fr, lr, pol);
+   boost::math::cyl_bessel_i_prime(i, s, pol);
+   boost::math::cyl_bessel_k_prime(fr, lr, pol);
+   boost::math::cyl_bessel_k_prime(i, s, pol);
+   boost::math::sph_bessel_prime(i, fr, pol);
+   boost::math::sph_bessel_prime(i, 1, pol);
+   boost::math::sph_neumann_prime(i, lr, pol);
+   boost::math::sph_neumann_prime(i, i, pol);
+   boost::math::owens_t(fr, dr, pol);
+   boost::math::owens_t(i, s, pol);
+   boost::math::lambert_w0(i, pol);
+   boost::math::lambert_wm1(i, pol);
+   boost::math::lambert_w0_prime(i, pol);
+#endif
+#ifdef TEST_GROUP_8
+   test::tgamma(i);
+   test::tgamma1pm1(i);
+   test::lgamma(i);
+   test::lgamma(i, &i);
+   test::digamma(i);
+   test::trigamma(i);
+   test::polygamma(i, i);
+   test::tgamma_ratio(i, l);
+   test::tgamma_ratio(fr, lr);
+   test::tgamma_delta_ratio(i, s);
+   test::tgamma_delta_ratio(fr, lr);
+   test::rising_factorial(s, i);
+   test::falling_factorial(s, i);
+   test::tgamma(i, l);
+   test::tgamma(fr, lr);
+   test::tgamma_lower(i, s);
+   test::tgamma_lower(fr, lr);
+   test::gamma_p(i, s);
+   test::gamma_p(fr, lr);
+   test::gamma_q(i, s);
+   test::gamma_q(fr, lr);
+   test::gamma_p_inv(i, fr);
+   test::gamma_q_inv(s, fr);
+   test::gamma_p_inva(i, lr);
+   test::gamma_q_inva(i, lr);
+   test::erf(i);
+   test::erfc(i);
+   test::erf_inv(i);
+   test::erfc_inv(i);
+   test::beta(i, s);
+   test::beta(fr, lr);
+   test::beta(i, s, l);
+   test::beta(fr, dr, lr);
+   test::betac(l, i, s);
+   test::betac(fr, dr, lr);
+   test::ibeta(l, i, s);
+   test::ibeta(fr, dr, lr);
+   test::ibetac(l, i, s);
+   test::ibetac(fr, dr, lr);
+   test::ibeta_inv(l, s, i);
+   test::ibeta_inv(fr, dr, lr);
+   test::ibetac_inv(l, i, s);
+   test::ibetac_inv(fr, dr, lr);
+   test::ibeta_inva(l, i, s);
+   test::ibeta_inva(fr, dr, lr);
+   test::ibetac_inva(l, i, s);
+   test::ibetac_inva(fr, dr, lr);
+   test::ibeta_invb(l, i, s);
+   test::ibeta_invb(fr, dr, lr);
+   test::ibetac_invb(l, i, s);
+   test::ibetac_invb(fr, dr, lr);
+   test::gamma_p_derivative(i, l);
+   test::gamma_p_derivative(fr, lr);
+   test::ibeta_derivative(l, i, s);
+   test::ibeta_derivative(fr, dr, lr);
+   (test::fpclassify)(i);
+   (test::isfinite)(s);
+   (test::isnormal)(l);
+   (test::isnan)(i);
+   (test::isinf)(l);
+   test::log1p(i);
+   test::expm1(s);
+   test::cbrt(l);
+   test::sqrt1pm1(s);
+   test::powm1(i, s);
+   test::powm1(fr, lr);
+   //test::legendre_p(1, i);
+   test::legendre_p(1, 0, s);
+   test::legendre_q(1, i);
+   test::laguerre(1, i);
+   test::laguerre(2, 1, i);
+   test::laguerre(2u, 1u, s);
+   test::hermite(1, s);
+   test::chebyshev_t(1, i);
+   test::chebyshev_u(1, i);
+   test::chebyshev_t_prime(1, s);
+   test::spherical_harmonic_r(2, 1, s, i);
+   test::spherical_harmonic_i(2, 1, fr, lr);
+   test::ellint_1(i);
+   test::ellint_1(i, s);
+   test::ellint_1(fr, lr);
+   test::ellint_2(i);
+   test::ellint_2(i, l);
+   test::ellint_2(fr, lr);
+   test::ellint_3(i, l);
+   test::ellint_3(fr, lr);
+   test::ellint_3(s, l, i);
+   test::ellint_3(fr, dr, lr);
+   test::ellint_d(i);
+   test::ellint_d(i, l);
+   test::ellint_d(fr, lr);
+   test::jacobi_zeta(i, l);
+   test::jacobi_zeta(fr, lr);
+   test::heuman_lambda(i, l);
+   test::heuman_lambda(fr, lr);
+   test::ellint_rc(i, s);
+   test::ellint_rc(fr, lr);
+   test::ellint_rd(s, i, l);
+   test::ellint_rd(fr, lr, dr);
+   test::ellint_rf(s, l, i);
+   test::ellint_rf(fr, dr, lr);
+   test::ellint_rg(s, l, i);
+   test::ellint_rg(fr, dr, lr);
+   test::ellint_rj(i, i, s, l);
+   test::ellint_rj(i, fr, dr, lr);
+   test::hypot(i, s);
+   test::hypot(fr, lr);
+   test::sinc_pi(i);
+   test::sinhc_pi(i);
+   test::asinh(s);
+   test::acosh(l);
+   test::atanh(l);
+   test::sin_pi(s);
+   test::cos_pi(s);
+   test::cyl_neumann(fr, dr);
+   test::cyl_neumann(i, s);
+   test::cyl_bessel_j(fr, lr);
+   test::cyl_bessel_j(i, s);
+   test::cyl_bessel_i(fr, lr);
+   test::cyl_bessel_i(i, s);
+   test::cyl_bessel_k(fr, lr);
+   test::cyl_bessel_k(i, s);
+   test::sph_bessel(i, fr);
+   test::sph_bessel(i, 1);
+   test::sph_neumann(i, lr);
+   test::sph_neumann(i, i);
+   test::cyl_neumann_prime(fr, dr);
+   test::cyl_neumann_prime(i, s);
+   test::cyl_bessel_j_prime(fr, lr);
+   test::cyl_bessel_j_prime(i, s);
+   test::cyl_bessel_i_prime(fr, lr);
+   test::cyl_bessel_i_prime(i, s);
+   test::cyl_bessel_k_prime(fr, lr);
+   test::cyl_bessel_k_prime(i, s);
+   test::sph_bessel_prime(i, fr);
+   test::sph_bessel_prime(i, 1);
+   test::sph_neumann_prime(i, lr);
+   test::sph_neumann_prime(i, i);
+   test::airy_ai(i);
+   test::airy_bi(i);
+   test::airy_ai_prime(i);
+   test::airy_bi_prime(i);
+   test::owens_t(fr, dr);
+   test::owens_t(i, s);
+   boost::math::lambert_w0(i);
+   boost::math::lambert_wm1(i);
+   boost::math::lambert_w0_prime(i);
+#endif
+#endif
+}
+
+
+#endif // BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
diff --git a/src/boost/libs/math/test/compile_test/main.cpp b/src/boost/libs/math/test/compile_test/main.cpp
new file mode 100644
index 000000000..86493a96d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/main.cpp
@@ -0,0 +1,13 @@
+//  Copyright John Maddock 2009.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+extern void compile_and_link_test();
+
+int main(int argc, char* /*argv*/ [])
+{
+   if(argc > 1000)
+      compile_and_link_test(); // should never actually be called.
+   return 0;
+}
diff --git a/src/boost/libs/math/test/compile_test/naive_monte_carlo_concept_test.cpp b/src/boost/libs/math/test/compile_test/naive_monte_carlo_concept_test.cpp
new file mode 100644
index 000000000..963e6338f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/naive_monte_carlo_concept_test.cpp
@@ -0,0 +1,33 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/naive_monte_carlo.hpp>
+
+using boost::math::concepts::std_real_concept;
+using boost::math::quadrature::naive_monte_carlo;
+
+void compile_and_link_test()
+{
+   auto g = [&](std::vector<std_real_concept> const & x)
+   {
+     return 1.873;
+   };
+   std::vector<std::pair<std_real_concept, std_real_concept>> bounds{{0, 1}, {0, 1}, {0, 1}};
+   naive_monte_carlo<std_real_concept, decltype(g)> mc(g, bounds, 1.0);
+
+   auto task = mc.integrate();
+   task.get();
+}
+
+#else
+void compile_and_link_test()
+{
+}
+#endif
diff --git a/src/boost/libs/math/test/compile_test/naive_monte_carlo_incl_test.cpp b/src/boost/libs/math/test/compile_test/naive_monte_carlo_incl_test.cpp
new file mode 100644
index 000000000..505a1b6f4
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/naive_monte_carlo_incl_test.cpp
@@ -0,0 +1,35 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#ifdef _MSC_VER
+#pragma warning(disable:4459)
+#endif
+
+#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
+
+#include <boost/math/quadrature/naive_monte_carlo.hpp>
+#include "test_compile_result.hpp"
+
+using boost::math::quadrature::naive_monte_carlo;
+void compile_and_link_test()
+{
+    auto g = [&](std::vector<double> const & x)
+    {
+        return 1.873;
+    };
+    std::vector<std::pair<double, double>> bounds{{0, 1}, {0, 1}, {0, 1}};
+    naive_monte_carlo<double, decltype(g)> mc(g, bounds, 1.0);
+
+    auto task = mc.integrate();
+    check_result<double>(task.get());
+}
+
+#else
+void compile_and_link_test()
+{
+}
+#endif
diff --git a/src/boost/libs/math/test/compile_test/numerical_differentiation_concept_test.cpp b/src/boost/libs/math/test/compile_test/numerical_differentiation_concept_test.cpp
new file mode 100644
index 000000000..7fcb898b8
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/numerical_differentiation_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/differentiation/finite_difference.hpp>
+
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept x = 0;
+   auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+   boost::math::differentiation::finite_difference_derivative(f, x);
+}
diff --git a/src/boost/libs/math/test/compile_test/numerical_differentiation_incl_test.cpp b/src/boost/libs/math/test/compile_test/numerical_differentiation_incl_test.cpp
new file mode 100644
index 000000000..7286949a1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/numerical_differentiation_incl_test.cpp
@@ -0,0 +1,24 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/differentiation/finite_difference.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return x; };
+    double x = 0;
+    check_result<double>(boost::math::differentiation::finite_difference_derivative(f, x));
+
+    auto g = [](std::complex<double> x){ return x;};
+    check_result<double>(boost::math::differentiation::complex_step_derivative(g, x));
+}
diff --git a/src/boost/libs/math/test/compile_test/poison.hpp b/src/boost/libs/math/test/compile_test/poison.hpp
new file mode 100644
index 000000000..6d72d9d26
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/poison.hpp
@@ -0,0 +1,141 @@
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_COMPILE_POISON_HPP
+#define BOOST_MATH_COMPILE_POISON_HPP
+
+#include <cmath>
+#include <math.h>
+
+//
+// As per https://github.com/boostorg/math/issues/126
+// we basically need to include every std lib header we use, otherwise
+// our poisoned macros can break legit std lib code.
+//
+#include <boost/config.hpp>
+#include <valarray>
+#include <complex>
+#include <iosfwd>
+#include <sstream>
+#include <ostream>
+#include <istream>
+#include <utility>
+#include <iomanip>
+#include <typeinfo>
+#include <stdexcept>
+#include <cstddef>
+#include <string>
+#include <cstring>
+#include <cctype>
+#include <limits>
+#include <exception>
+#include <iterator>
+#include <numeric>
+#include <vector>
+#include <algorithm>
+#include <typeinfo>
+#include <memory>
+#include <cerrno>
+#include <functional>
+#ifndef BOOST_NO_CXX11_HDR_FUTURE
+#include <future>
+#endif
+#ifndef BOOST_NO_CXX11_HDR_THREAD
+#include <thread>
+#endif
+#ifndef BOOST_NO_CXX11_HDR_RANDOM
+#include <random>
+#endif
+#ifndef BOOST_NO_CXX11_HDR_CHRONO
+#include <chrono>
+#endif
+#include <map>
+
+//
+// We have to include this *before* poisoning the macros
+// as it needs to be able to use them!
+//
+#include <boost/math/special_functions/fpclassify.hpp>
+
+//
+// Poison all the function-like macros in C99 so if we accidentally call them
+// in an unsafe manner, we'll get compiler errors.  Of course these shouldn't be
+// macros in C++ at all...
+//
+
+#ifdef fpclassify
+#undef fpclassify
+#endif
+
+#define fpclassify(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isfinite
+#undef isfinite
+#endif
+
+#define isfinite(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isinf
+#undef isinf
+#endif
+
+#define isinf(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isnan
+#undef isnan
+#endif
+
+#define isnan(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isnormal
+#undef isnormal
+#endif
+
+#define isnormal(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef signbit
+#undef signbit
+#endif
+
+#define signbit(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isgreater
+#undef isgreater
+#endif
+
+#define isgreater(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isgreaterequal
+#undef isgreaterequal
+#endif
+
+#define isgreaterequal(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isless
+#undef isless
+#endif
+
+#define isless(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef islessequal
+#undef islessequal
+#endif
+
+#define islessequal(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef islessgreater
+#undef islessgreater
+#endif
+
+#define islessgreater(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#ifdef isunordered
+#undef isunordered
+#endif
+
+#define isunordered(x) this_should_not_compile(x)}}}}}}}}}}}}}}}}}}}
+
+#endif
+
diff --git a/src/boost/libs/math/test/compile_test/sf_airy_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_airy_incl_test.cpp
new file mode 100644
index 000000000..be3aa478e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_airy_incl_test.cpp
@@ -0,0 +1,42 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/airy.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::airy_ai<float>(f));
+   check_result<double>(boost::math::airy_ai<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_ai<long double>(l));
+#endif
+
+   check_result<float>(boost::math::airy_bi<float>(f));
+   check_result<double>(boost::math::airy_bi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_bi<long double>(l));
+#endif
+
+   check_result<float>(boost::math::airy_ai_prime<float>(f));
+   check_result<double>(boost::math::airy_ai_prime<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_ai_prime<long double>(l));
+#endif
+
+   check_result<float>(boost::math::airy_bi_prime<float>(f));
+   check_result<double>(boost::math::airy_bi_prime<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::airy_bi_prime<long double>(l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_bernoulli_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_bernoulli_incl_test.cpp
new file mode 100644
index 000000000..49c3374fe
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_bernoulli_incl_test.cpp
@@ -0,0 +1,37 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bernoulli.hpp>
+// #includes all the files that it needs to.
+//
+#include <ostream>
+#include <boost/math/special_functions/bernoulli.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::bernoulli_b2n<float>(i));
+   check_result<double>(boost::math::bernoulli_b2n<double>(i));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::bernoulli_b2n<long double>(i));
+#endif
+
+   check_result<float>(boost::math::tangent_t2n<float>(i));
+   check_result<double>(boost::math::tangent_t2n<double>(i));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tangent_t2n<long double>(i));
+#endif
+#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
+   constexpr float ce_f = boost::math::unchecked_bernoulli_b2n<float>(2);
+   constexpr float ce_d = boost::math::unchecked_bernoulli_b2n<double>(2);
+   constexpr float ce_l = boost::math::unchecked_bernoulli_b2n<long double>(2);
+   std::ostream cnull(0);
+   cnull << ce_f << ce_d << ce_l << std::endl;
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_bessel_deriv_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_bessel_deriv_incl_test.cpp
new file mode 100644
index 000000000..070bacab6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_bessel_deriv_incl_test.cpp
@@ -0,0 +1,53 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/bessel_prime.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cyl_bessel_j_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_j_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_j_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_neumann_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_neumann_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_neumann_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_i_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_i_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_i_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_k_prime<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_k_prime<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_k_prime<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::sph_bessel_prime<float>(u, f));
+   check_result<double>(boost::math::sph_bessel_prime<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_bessel_prime<long double>(u, l));
+#endif
+
+   check_result<float>(boost::math::sph_neumann_prime<float>(u, f));
+   check_result<double>(boost::math::sph_neumann_prime<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_neumann_prime<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_bessel_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_bessel_incl_test.cpp
new file mode 100644
index 000000000..9226ced77
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_bessel_incl_test.cpp
@@ -0,0 +1,53 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/bessel.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cyl_bessel_j<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_j<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_j<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_neumann<float>(f, f));
+   check_result<double>(boost::math::cyl_neumann<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_neumann<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_i<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_i<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_i<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::cyl_bessel_k<float>(f, f));
+   check_result<double>(boost::math::cyl_bessel_k<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cyl_bessel_k<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::sph_bessel<float>(u, f));
+   check_result<double>(boost::math::sph_bessel<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_bessel<long double>(u, l));
+#endif
+
+   check_result<float>(boost::math::sph_neumann<float>(u, f));
+   check_result<double>(boost::math::sph_neumann<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sph_neumann<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_beta_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_beta_incl_test.cpp
new file mode 100644
index 000000000..e20431c67
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_beta_incl_test.cpp
@@ -0,0 +1,42 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/beta.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/beta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::beta<float, float>(f, f));
+   check_result<double>(boost::math::beta<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::beta<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ibeta<float>(f, f, f));
+   check_result<double>(boost::math::ibeta<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ibeta<long double>(l, l, l));
+#endif
+
+   check_result<float>(boost::math::ibeta_inv<float>(f, f, f));
+   check_result<double>(boost::math::ibeta_inv<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ibeta_inv<long double>(l, l, l));
+#endif
+
+   check_result<float>(boost::math::ibeta_inva<float>(f, f, f));
+   check_result<double>(boost::math::ibeta_inva<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ibeta_inva<long double>(l, l, l));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/sf_binomial_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_binomial_incl_test.cpp
new file mode 100644
index 000000000..fe3ac0103
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_binomial_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/binomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/binomial.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::binomial_coefficient<float>(u, u));
+   check_result<double>(boost::math::binomial_coefficient<double>(u, u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::binomial_coefficient<long double>(u, u));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_cbrt_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_cbrt_incl_test.cpp
new file mode 100644
index 000000000..ccd94bf72
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_cbrt_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/cbrt.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/cbrt.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cbrt<float>(f));
+   check_result<double>(boost::math::cbrt<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cbrt<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_cos_pi_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_cos_pi_incl_test.cpp
new file mode 100644
index 000000000..cc07ee4b7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_cos_pi_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/cos_pi.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/cos_pi.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::cos_pi<float>(f));
+   check_result<double>(boost::math::cos_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::cos_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_digamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_digamma_incl_test.cpp
new file mode 100644
index 000000000..960fd493d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_digamma_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/digamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/digamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::digamma<float>(f));
+   check_result<double>(boost::math::digamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::digamma<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_1_incl_test.cpp
new file mode 100644
index 000000000..376a7f10e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_1_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_1<float>(f, f));
+   check_result<double>(boost::math::ellint_1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_1<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_1<float>(f));
+   check_result<double>(boost::math::ellint_1<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_1<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_2_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_2_incl_test.cpp
new file mode 100644
index 000000000..3eacaaa60
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_2_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_2.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_2.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_2<float>(f, f));
+   check_result<double>(boost::math::ellint_2<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_2<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_2<float>(f));
+   check_result<double>(boost::math::ellint_2<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_2<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_3_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_3_incl_test.cpp
new file mode 100644
index 000000000..4d1af4ac3
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_3_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_3.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_3.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_3<float>(f, f));
+   check_result<double>(boost::math::ellint_3<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_3<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_3<float>(f, f, f));
+   check_result<double>(boost::math::ellint_3<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_3<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp
new file mode 100644
index 000000000..c7c4249a5
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_d_incl_test.cpp
@@ -0,0 +1,29 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_d.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_d<float>(f, f));
+   check_result<double>(boost::math::ellint_d<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_d<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::ellint_d<float>(f));
+   check_result<double>(boost::math::ellint_d<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_d<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rc_incl_test.cpp
new file mode 100644
index 000000000..ea7e96992
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rc_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rc<float>(f, f));
+   check_result<double>(boost::math::ellint_rc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rc<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rd_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rd_incl_test.cpp
new file mode 100644
index 000000000..38879eda4
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rd_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rd.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rd.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rd<float>(f, f, f));
+   check_result<double>(boost::math::ellint_rd<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rd<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rf_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rf_incl_test.cpp
new file mode 100644
index 000000000..ca3b00e77
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rf_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rf.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rf<float>(f, f, f));
+   check_result<double>(boost::math::ellint_rf<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rf<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp
new file mode 100644
index 000000000..fed70d95a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rg_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rg.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rg<float>(f, f, f));
+   check_result<double>(boost::math::ellint_rg<double>(d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rg<long double>(l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ellint_rj_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ellint_rj_incl_test.cpp
new file mode 100644
index 000000000..96507eaec
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ellint_rj_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_rj.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ellint_rj.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ellint_rj<float>(f, f, f, f));
+   check_result<double>(boost::math::ellint_rj<double>(d, d, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ellint_rj<long double>(l, l, l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_erf_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_erf_incl_test.cpp
new file mode 100644
index 000000000..e15d24f4e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_erf_incl_test.cpp
@@ -0,0 +1,41 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/erf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/erf.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::erf<float>(f));
+   check_result<double>(boost::math::erf<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erf<long double>(l));
+#endif
+
+   check_result<float>(boost::math::erfc<float>(f));
+   check_result<double>(boost::math::erfc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erfc<long double>(l));
+#endif
+
+   check_result<float>(boost::math::erf_inv<float>(f));
+   check_result<double>(boost::math::erf_inv<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erf_inv<long double>(l));
+#endif
+
+   check_result<float>(boost::math::erfc_inv<float>(f));
+   check_result<double>(boost::math::erfc_inv<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::erfc_inv<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_expint_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_expint_incl_test.cpp
new file mode 100644
index 000000000..98fc70cfb
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_expint_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/expint.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/expint.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::expint(f));
+   check_result<double>(boost::math::expint(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::expint(l));
+#endif
+   check_result<float>(boost::math::expint(u, f));
+   check_result<double>(boost::math::expint(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::expint(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_expm1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_expm1_incl_test.cpp
new file mode 100644
index 000000000..4b5a353aa
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_expm1_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/expm1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/expm1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::expm1<float>(f));
+   check_result<double>(boost::math::expm1<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::expm1<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_factorials_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_factorials_incl_test.cpp
new file mode 100644
index 000000000..70447e320
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_factorials_incl_test.cpp
@@ -0,0 +1,58 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/factorials.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/factorials.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::factorial<float>(u));
+   check_result<double>(boost::math::factorial<double>(u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::factorial<long double>(u));
+#endif
+
+   check_result<float>(boost::math::double_factorial<float>(u));
+   check_result<double>(boost::math::double_factorial<double>(u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::double_factorial<long double>(u));
+#endif
+
+   check_result<float>(boost::math::rising_factorial<float>(f, i));
+   check_result<double>(boost::math::rising_factorial<double>(d, i));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::rising_factorial<long double>(l, i));
+#endif
+
+   check_result<float>(boost::math::falling_factorial<float>(f, u));
+   check_result<double>(boost::math::falling_factorial<double>(d, u));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::falling_factorial<long double>(l, u));
+#endif
+
+   //
+   // Add constexpr tests here:
+   //
+#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
+   constexpr float ce_f = boost::math::unchecked_factorial<float>(2);
+   constexpr double ce_d = boost::math::unchecked_factorial<double>(2);
+   constexpr long double ce_l = boost::math::unchecked_factorial<long double>(2);
+   check_result<float>(ce_f);
+   check_result<double>(ce_d);
+   check_result<long double>(ce_l);
+#ifdef BOOST_MATH_USE_FLOAT128
+   constexpr __float128 ce_q = boost::math::unchecked_factorial<__float128>(2);
+   check_result<__float128>(ce_q);
+#endif
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/sf_fpclassify_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_fpclassify_incl_test.cpp
new file mode 100644
index 000000000..7fb57fce2
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_fpclassify_incl_test.cpp
@@ -0,0 +1,43 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/fpclassify.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/fpclassify.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<int>(boost::math::fpclassify BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<int>(boost::math::fpclassify BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::fpclassify BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+
+   check_result<bool>(boost::math::isfinite BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<bool>(boost::math::isfinite BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<bool>(boost::math::isfinite BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+
+   check_result<bool>(boost::math::isinf BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<bool>(boost::math::isinf BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<bool>(boost::math::isinf BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+
+   check_result<bool>(boost::math::isnormal BOOST_NO_MACRO_EXPAND<float>(f));
+   check_result<bool>(boost::math::isnormal BOOST_NO_MACRO_EXPAND<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<bool>(boost::math::isnormal BOOST_NO_MACRO_EXPAND<long double>(l));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/sf_gamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_gamma_incl_test.cpp
new file mode 100644
index 000000000..f7ad18e9c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_gamma_incl_test.cpp
@@ -0,0 +1,83 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/gamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::tgamma<float>(f));
+   check_result<double>(boost::math::tgamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tgamma<long double>(l));
+#endif
+
+   check_result<float>(boost::math::lgamma<float>(f));
+   check_result<double>(boost::math::lgamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::lgamma<long double>(l));
+#endif
+
+   check_result<float>(boost::math::gamma_p<float>(f, f));
+   check_result<double>(boost::math::gamma_p<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_q<float>(f, f));
+   check_result<double>(boost::math::gamma_q<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_q<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_p_inv<float>(f, f));
+   check_result<double>(boost::math::gamma_p_inv<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p_inv<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_q_inv<float>(f, f));
+   check_result<double>(boost::math::gamma_q_inv<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_q_inv<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_p_inva<float>(f, f));
+   check_result<double>(boost::math::gamma_p_inva<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p_inva<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_q_inva<float>(f, f));
+   check_result<double>(boost::math::gamma_q_inva<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_q_inva<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::gamma_p_derivative<float>(f, f));
+   check_result<double>(boost::math::gamma_p_derivative<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::gamma_p_derivative<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::tgamma_ratio<float>(f, f));
+   check_result<double>(boost::math::tgamma_ratio<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tgamma_ratio<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::tgamma_delta_ratio<float>(f, f));
+   check_result<double>(boost::math::tgamma_delta_ratio<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::tgamma_delta_ratio<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_hankel_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_hankel_incl_test.cpp
new file mode 100644
index 000000000..5a32dca29
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_hankel_incl_test.cpp
@@ -0,0 +1,46 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/hankel.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::cyl_hankel_1<float>(f, f));
+   check_result<std::complex<double> >(boost::math::cyl_hankel_1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::cyl_hankel_1<long double>(l, l));
+#endif
+
+   check_result<std::complex<float> >(boost::math::cyl_hankel_2<float>(f, f));
+   check_result<std::complex<double> >(boost::math::cyl_hankel_2<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::cyl_hankel_2<long double>(l, l));
+#endif
+
+   check_result<std::complex<float> >(boost::math::sph_hankel_1<float>(f, f));
+   check_result<std::complex<double> >(boost::math::sph_hankel_1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::sph_hankel_1<long double>(l, l));
+#endif
+
+   check_result<std::complex<float> >(boost::math::sph_hankel_2<float>(f, f));
+   check_result<std::complex<double> >(boost::math::sph_hankel_2<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::sph_hankel_2<long double>(l, l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_hermite_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_hermite_incl_test.cpp
new file mode 100644
index 000000000..0ed4ad636
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_hermite_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/hermite.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/hermite.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::hermite<float>(u, f));
+   check_result<double>(boost::math::hermite<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::hermite<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp
new file mode 100644
index 000000000..4ed1245d9
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_heuman_lambda_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/heuman_lambda.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::heuman_lambda<float>(f, f));
+   check_result<double>(boost::math::heuman_lambda<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::heuman_lambda<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_hypot_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_hypot_incl_test.cpp
new file mode 100644
index 000000000..c74b7f0fc
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_hypot_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/hypot.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/hypot.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::hypot<float>(f, f));
+   check_result<double>(boost::math::hypot<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::hypot<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_jacobi_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_jacobi_incl_test.cpp
new file mode 100644
index 000000000..a1fc66b0c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_jacobi_incl_test.cpp
@@ -0,0 +1,96 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::jacobi_elliptic<float>(f, f, static_cast<float*>(0), static_cast<float*>(0)));
+   check_result<double>(boost::math::jacobi_elliptic<double>(d, d, static_cast<double*>(0), static_cast<double*>(0)));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_elliptic<long double>(l, l, static_cast<long double*>(0), static_cast<long double*>(0)));
+#endif
+
+   check_result<float>(boost::math::jacobi_sn<float>(f, f));
+   check_result<double>(boost::math::jacobi_sn<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_sn<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_cn<float>(f, f));
+   check_result<double>(boost::math::jacobi_cn<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_cn<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_dn<float>(f, f));
+   check_result<double>(boost::math::jacobi_dn<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_dn<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_cd<float>(f, f));
+   check_result<double>(boost::math::jacobi_cd<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_cd<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_dc<float>(f, f));
+   check_result<double>(boost::math::jacobi_dc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_dc<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_ns<float>(f, f));
+   check_result<double>(boost::math::jacobi_ns<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_ns<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_sd<float>(f, f));
+   check_result<double>(boost::math::jacobi_sd<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_sd<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_ds<float>(f, f));
+   check_result<double>(boost::math::jacobi_ds<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_ds<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_nc<float>(f, f));
+   check_result<double>(boost::math::jacobi_nc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_nc<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_nd<float>(f, f));
+   check_result<double>(boost::math::jacobi_nd<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_nd<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_sc<float>(f, f));
+   check_result<double>(boost::math::jacobi_sc<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_sc<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::jacobi_cs<float>(f, f));
+   check_result<double>(boost::math::jacobi_cs<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_cs<long double>(l, l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp
new file mode 100644
index 000000000..78dcd2883
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_jacobi_zeta_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/ellint_d.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::jacobi_zeta<float>(f, f));
+   check_result<double>(boost::math::jacobi_zeta<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::jacobi_zeta<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_laguerre_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_laguerre_incl_test.cpp
new file mode 100644
index 000000000..6b44e4793
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_laguerre_incl_test.cpp
@@ -0,0 +1,32 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/laguerre.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/laguerre.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::laguerre<float>(u, f));
+   check_result<double>(boost::math::laguerre<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::laguerre<long double>(u, l));
+#endif
+
+   typedef boost::math::policies::policy<> def_pol;
+   def_pol p;
+
+   check_result<float>(boost::math::laguerre<float, def_pol>(u, u, f, p));
+   check_result<double>(boost::math::laguerre<double, def_pol>(u, u, d, p));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::laguerre<long double, def_pol>(u, u, l, p));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_lanczos_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_lanczos_incl_test.cpp
new file mode 100644
index 000000000..ef54883ba
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_lanczos_incl_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/lanczos.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/lanczos.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/sf_legendre_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_legendre_incl_test.cpp
new file mode 100644
index 000000000..725868bc1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_legendre_incl_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/legendre.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/legendre.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::legendre_p<float>(i, f));
+   check_result<double>(boost::math::legendre_p<double>(i, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_p<long double>(i, l));
+#endif
+   check_result<float>(boost::math::legendre_p_prime<float>(i, f));
+   check_result<double>(boost::math::legendre_p_prime<double>(i, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_p_prime<long double>(i, l));
+#endif
+
+   check_result<float>(boost::math::legendre_p<float>(i, i, f));
+   check_result<double>(boost::math::legendre_p<double>(i, i, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_p<long double>(i, i, l));
+#endif
+
+   check_result<float>(boost::math::legendre_q<float>(u, f));
+   check_result<double>(boost::math::legendre_q<double>(u, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::legendre_q<long double>(u, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_concept_test.cpp b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_concept_test.cpp
new file mode 100644
index 000000000..e66a83718
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_concept_test.cpp
@@ -0,0 +1,13 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/legendre.hpp>
+// #includes all the files that it needs to.
+//
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/special_functions/legendre_stieltjes.hpp>
+
+template class boost::math::legendre_stieltjes<boost::math::concepts::std_real_concept>;
diff --git a/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_incl_test.cpp
new file mode 100644
index 000000000..dd2e24d91
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_legendre_stieltjes_incl_test.cpp
@@ -0,0 +1,26 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/legendre.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/legendre_stieltjes.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   boost::math::legendre_stieltjes<float> lsf(3);
+   boost::math::legendre_stieltjes<double> lsd(3);
+   check_result<float>(lsf(f));
+   check_result<double>(lsd(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   boost::math::legendre_stieltjes<long double> lsl(3);
+   check_result<long double>(lsl(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_log1p_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_log1p_incl_test.cpp
new file mode 100644
index 000000000..3302a59db
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_log1p_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/log1p.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/log1p.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::log1p<float>(f));
+   check_result<double>(boost::math::log1p<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::log1p<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_math_fwd_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_math_fwd_incl_test.cpp
new file mode 100644
index 000000000..6e790977d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_math_fwd_incl_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/math_fwd.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/math_fwd.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/sf_modf_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_modf_incl_test.cpp
new file mode 100644
index 000000000..0df0741d1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_modf_incl_test.cpp
@@ -0,0 +1,50 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/modf.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/modf.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+float ff;
+double dd;
+long double lldd;
+
+int ii;
+long ll;
+#ifdef BOOST_HAS_LONG_LONG
+boost::long_long_type llll;
+#endif
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::modf(f, &ff));
+   check_result<double>(boost::math::modf(d, &dd));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &lldd));
+#endif
+   check_result<float>(boost::math::modf(f, &ii));
+   check_result<double>(boost::math::modf(d, &ii));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &ii));
+#endif
+   check_result<float>(boost::math::modf(f, &ll));
+   check_result<double>(boost::math::modf(d, &ll));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &ll));
+#endif
+#ifdef BOOST_HAS_LONG_LONG
+   check_result<float>(boost::math::modf(f, &llll));
+   check_result<double>(boost::math::modf(d, &llll));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::modf(l, &llll));
+#endif
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_next_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_next_incl_test.cpp
new file mode 100644
index 000000000..371a661d4
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_next_incl_test.cpp
@@ -0,0 +1,48 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/next.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/next.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::nextafter<float>(f, f));
+   check_result<double>(boost::math::nextafter<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::nextafter<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::float_next<float>(f));
+   check_result<double>(boost::math::float_next<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_next<long double>(l));
+#endif
+
+   check_result<float>(boost::math::float_prior<float>(f));
+   check_result<double>(boost::math::float_prior<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_prior<long double>(l));
+#endif
+
+   check_result<float>(boost::math::float_distance<float>(f, f));
+   check_result<double>(boost::math::float_distance<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_distance<long double>(l, l));
+#endif
+
+   check_result<float>(boost::math::float_advance<float>(f, 2));
+   check_result<double>(boost::math::float_advance<double>(d, 2));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::float_advance<long double>(l, 2));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_owens_t_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_owens_t_incl_test.cpp
new file mode 100644
index 000000000..2839a0778
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_owens_t_incl_test.cpp
@@ -0,0 +1,24 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/owens_t.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::owens_t<float>(f, f));
+   check_result<double>(boost::math::owens_t<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::owens_t<long double>(l, l));
+#endif
+
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_polygamma_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_polygamma_incl_test.cpp
new file mode 100644
index 000000000..883644993
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_polygamma_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/digamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/polygamma.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::trigamma<float>(f));
+   check_result<double>(boost::math::trigamma<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::trigamma<long double>(l));
+#endif
+   check_result<float>(boost::math::polygamma<float>(1, f));
+   check_result<double>(boost::math::polygamma<double>(1, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::polygamma<long double>(1, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_powm1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_powm1_incl_test.cpp
new file mode 100644
index 000000000..04cabb0a6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_powm1_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/powm1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/powm1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::powm1<float>(f, f));
+   check_result<double>(boost::math::powm1<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::powm1<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_prime_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_prime_incl_test.cpp
new file mode 100644
index 000000000..6ab758479
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_prime_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/factorials.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/prime.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<boost::uint32_t>(boost::math::prime(u));
+   //
+   // Add constexpr tests here:
+   //
+#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
+   constexpr boost::uint32_t ce_f = boost::math::prime(boost::math::max_prime);
+   static_assert(ce_f == 104729, "max_prime had incorrect value");
+   check_result<boost::uint32_t>(ce_f);
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/sf_relative_distance_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_relative_distance_incl_test.cpp
new file mode 100644
index 000000000..6b6ae292f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_relative_distance_incl_test.cpp
@@ -0,0 +1,28 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/next.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/relative_difference.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::relative_difference<float>(f, f));
+   check_result<double>(boost::math::relative_difference<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::relative_difference<long double>(l, l));
+#endif
+   check_result<float>(boost::math::epsilon_difference<float>(f, f));
+   check_result<double>(boost::math::epsilon_difference<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::epsilon_difference<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_round_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_round_incl_test.cpp
new file mode 100644
index 000000000..6deb71b39
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_round_incl_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/round.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/round.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::round<float>(f));
+   check_result<double>(boost::math::round<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::round<long double>(l));
+#endif
+   check_result<int>(boost::math::iround<float>(f));
+   check_result<int>(boost::math::iround<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::iround<long double>(l));
+#endif
+   check_result<long>(boost::math::lround<float>(f));
+   check_result<long>(boost::math::lround<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long>(boost::math::lround<long double>(l));
+#endif
+#ifdef BOOST_HAS_LONG_LONG
+   check_result<boost::long_long_type>(boost::math::llround<float>(f));
+   check_result<boost::long_long_type>(boost::math::llround<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<boost::long_long_type>(boost::math::llround<long double>(l));
+#endif
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sign_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sign_incl_test.cpp
new file mode 100644
index 000000000..f4e8dd2f1
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sign_incl_test.cpp
@@ -0,0 +1,35 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sign.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sign.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<int>(boost::math::sign<float>(f));
+   check_result<int>(boost::math::sign<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::sign<long double>(l));
+#endif
+
+   check_result<int>(boost::math::signbit<float>(f));
+   check_result<int>(boost::math::signbit<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::signbit<long double>(l));
+#endif
+
+   check_result<float>(boost::math::copysign<float>(f, f));
+   check_result<double>(boost::math::copysign<double>(d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::copysign<long double>(l, l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sin_pi_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sin_pi_incl_test.cpp
new file mode 100644
index 000000000..a5bd100d6
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sin_pi_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sin_pi.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sin_pi.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sin_pi<float>(f));
+   check_result<double>(boost::math::sin_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sin_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sinc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sinc_incl_test.cpp
new file mode 100644
index 000000000..1c529dfcc
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sinc_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sinc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sinc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sinc_pi<float>(f));
+   check_result<double>(boost::math::sinc_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sinc_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sinhc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sinhc_incl_test.cpp
new file mode 100644
index 000000000..22a448d56
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sinhc_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sinhc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sinhc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sinhc_pi<float>(f));
+   check_result<double>(boost::math::sinhc_pi<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sinhc_pi<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_sph_harm_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sph_harm_incl_test.cpp
new file mode 100644
index 000000000..ed7de85ec
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sph_harm_incl_test.cpp
@@ -0,0 +1,43 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/spherical_harmonic.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+inline void check_result_imp(std::complex<float>, std::complex<float>){}
+inline void check_result_imp(std::complex<double>, std::complex<double>){}
+inline void check_result_imp(std::complex<long double>, std::complex<long double>){}
+
+#include "test_compile_result.hpp"
+
+
+
+void compile_and_link_test()
+{
+   check_result<std::complex<float> >(boost::math::spherical_harmonic<float>(u, i, f, f));
+   check_result<std::complex<double> >(boost::math::spherical_harmonic<double>(u, i, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<std::complex<long double> >(boost::math::spherical_harmonic<long double>(u, i, l, l));
+#endif
+
+   check_result<float>(boost::math::spherical_harmonic_r<float>(u, i, f, f));
+   check_result<double>(boost::math::spherical_harmonic_r<double>(u, i, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::spherical_harmonic_r<long double>(u, i, l, l));
+#endif
+
+   check_result<float>(boost::math::spherical_harmonic_i<float>(u, i, f, f));
+   check_result<double>(boost::math::spherical_harmonic_i<double>(u, i, d, d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::spherical_harmonic_i<long double>(u, i, l, l));
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/compile_test/sf_sqrt1pm1_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_sqrt1pm1_incl_test.cpp
new file mode 100644
index 000000000..38dfb5748
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_sqrt1pm1_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/sqrt1pm1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::sqrt1pm1<float>(f));
+   check_result<double>(boost::math::sqrt1pm1<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::sqrt1pm1<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_trunc_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_trunc_incl_test.cpp
new file mode 100644
index 000000000..33b9ee34f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_trunc_incl_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/trunc.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/trunc.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::trunc<float>(f));
+   check_result<double>(boost::math::trunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::trunc<long double>(l));
+#endif
+   check_result<int>(boost::math::itrunc<float>(f));
+   check_result<int>(boost::math::itrunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<int>(boost::math::itrunc<long double>(l));
+#endif
+   check_result<long>(boost::math::ltrunc<float>(f));
+   check_result<long>(boost::math::ltrunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long>(boost::math::ltrunc<long double>(l));
+#endif
+#ifdef BOOST_HAS_LONG_LONG
+   check_result<boost::long_long_type>(boost::math::lltrunc<float>(f));
+   check_result<boost::long_long_type>(boost::math::lltrunc<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<boost::long_long_type>(boost::math::lltrunc<long double>(l));
+#endif
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_ulp_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_ulp_incl_test.cpp
new file mode 100644
index 000000000..ce70276db
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_ulp_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/next.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/ulp.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::ulp<float>(f));
+   check_result<double>(boost::math::ulp<double>(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::ulp<long double>(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sf_zeta_incl_test.cpp b/src/boost/libs/math/test/compile_test/sf_zeta_incl_test.cpp
new file mode 100644
index 000000000..fa582b57d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sf_zeta_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/zeta.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/zeta.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::zeta(f));
+   check_result<double>(boost::math::zeta(d));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   check_result<long double>(boost::math::zeta(l));
+#endif
+}
diff --git a/src/boost/libs/math/test/compile_test/sinh_sinh_concept_test.cpp b/src/boost/libs/math/test/compile_test/sinh_sinh_concept_test.cpp
new file mode 100644
index 000000000..2b204dc3a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sinh_sinh_concept_test.cpp
@@ -0,0 +1,15 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/sinh_sinh.hpp>
+
+
+void compile_and_link_test()
+{
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::sinh_sinh<boost::math::concepts::std_real_concept> integrator;
+    integrator.integrate(f);
+}
diff --git a/src/boost/libs/math/test/compile_test/sinh_sinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/sinh_sinh_incl_test.cpp
new file mode 100644
index 000000000..ed6f05e1e
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/sinh_sinh_incl_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/sinh_sinh.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return 1/(1+x*x); };
+    boost::math::quadrature::sinh_sinh<double> integrator;
+    check_result<double>(integrator.integrate(f));
+}
diff --git a/src/boost/libs/math/test/compile_test/std_real_concept_check.cpp b/src/boost/libs/math/test/compile_test/std_real_concept_check.cpp
new file mode 100644
index 000000000..20638e375
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/std_real_concept_check.cpp
@@ -0,0 +1,207 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include "poison.hpp"
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/concepts/distributions.hpp>
+
+#include "instantiate.hpp"
+
+//
+// The purpose of this test is to verify that our code compiles
+// cleanly with a type whose std lib functions are in namespace
+// std and can *not* be found by ADL.  This verifies that we're
+// not finding std lib functions that are in the global namespace
+// for example calling ::pow(double) rather than std::pow(long double).
+// This is a silent error that does the wrong thing at runtime, and
+// of course we can't call std::pow() directly because we want
+// the functions to be found by ADL when that's appropriate.
+//
+// Furthermore our code does different things internally depending
+// on numeric_limits<>::digits, so there are some macros that can
+// be defined that cause our concept-archetype to emulate various
+// floating point types:
+//
+// EMULATE32: 32-bit float
+// EMULATE64: 64-bit double
+// EMULATE80: 80-bit long double
+// EMULATE128: 128-bit long double
+//
+// In order to ensure total code coverage this file must be
+// compiled with each of the above macros in turn, and then 
+// without any of the above as well!
+//
+
+#define NULL_MACRO /**/
+#ifdef EMULATE32
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 24;
+   static const int digits10 = 6;
+   static const int max_digits10 = 9;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -125;
+   static const int min_exponent10 = -37;
+   static const int max_exponent = 128;
+   static const int max_exponent10 = 38;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE64
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 53;
+   static const int digits10 = 15;
+   static const int max_digits10 = 17;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -1021;
+   static const int min_exponent10 = -307;
+   static const int max_exponent = 1024;
+   static const int max_exponent10 = 308;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE80
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 64;
+   static const int digits10 = 18;
+   static const int max_digits10 = 22;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE128
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 113;
+   static const int digits10 = 33;
+   static const int max_digits10 = 37;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+
+
+
+int main(int argc, char*[])
+{
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(argc > 1000)
+      instantiate(boost::math::concepts::std_real_concept(0));
+#endif
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tanh_sinh_concept_test.cpp b/src/boost/libs/math/test/compile_test/tanh_sinh_concept_test.cpp
new file mode 100644
index 000000000..239d1fb16
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tanh_sinh_concept_test.cpp
@@ -0,0 +1,17 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/tanh_sinh.hpp>
+
+
+void compile_and_link_test()
+{
+    boost::math::concepts::std_real_concept a = 0;
+    boost::math::concepts::std_real_concept b = 1;
+    auto f = [](boost::math::concepts::std_real_concept x) { return x; };
+    boost::math::quadrature::tanh_sinh<boost::math::concepts::std_real_concept> integrator;
+    integrator.integrate(f, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/tanh_sinh_incl_test.cpp b/src/boost/libs/math/test/compile_test/tanh_sinh_incl_test.cpp
new file mode 100644
index 000000000..ef5fff794
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tanh_sinh_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/tanh_sinh.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+    auto f = [](double x) { return x; };
+    double a = 0;
+    double b = 1;
+    boost::math::quadrature::tanh_sinh<double> integrator;
+    check_result<double>(integrator.integrate(f, a, b));
+}
diff --git a/src/boost/libs/math/test/compile_test/test_compile_result.hpp b/src/boost/libs/math/test/compile_test/test_compile_result.hpp
new file mode 100644
index 000000000..0bb419f2c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/test_compile_result.hpp
@@ -0,0 +1,183 @@
+//  Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// Note this header must NOT include any other headers, for its
+// use to be meaningful (because we use it in tests designed to
+// detect missing includes).
+//
+
+static const float f = 0;
+static const double d = 0;
+static const long double l = 0;
+static const unsigned u = 0;
+static const int i = 0;
+
+//template <class T>
+//inline void check_result_imp(T, T){}
+
+inline void check_result_imp(float, float){}
+inline void check_result_imp(double, double){}
+inline void check_result_imp(long double, long double){}
+inline void check_result_imp(int, int){}
+inline void check_result_imp(long, long){}
+#ifdef BOOST_HAS_LONG_LONG
+inline void check_result_imp(boost::long_long_type, boost::long_long_type){}
+#endif
+inline void check_result_imp(bool, bool){}
+
+//
+// If the compiler warns about unused typedefs then enable this:
+//
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 7)))
+#  define BOOST_MATH_ASSERT_UNUSED_ATTRIBUTE __attribute__((unused))
+#else
+#  define BOOST_MATH_ASSERT_UNUSED_ATTRIBUTE
+#endif
+
+template <class T, class U>
+struct local_is_same 
+{ 
+   enum{ value = false }; 
+};
+template <class T>
+struct local_is_same<T, T> 
+{ 
+   enum{ value = true }; 
+};
+
+template <class T1, class T2>
+inline void check_result_imp(T1, T2)
+{
+   // This is a static assertion that should always fail to compile...
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 8)))
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wunused-local-typedefs"
+#endif
+   typedef BOOST_MATH_ASSERT_UNUSED_ATTRIBUTE int static_assertion[local_is_same<T1, T2>::value ? 1 : 0];
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 8)))
+#pragma GCC diagnostic pop
+#endif
+}
+
+template <class T1, class T2>
+inline void check_result(T2)
+{
+   T1 a = T1();
+   T2 b = T2();
+   return check_result_imp(a, b);
+}
+
+union max_align_type
+{
+   char c;
+   short s;
+   int i;
+   long l;
+   double d;
+   long double ld;
+#ifdef BOOST_HAS_LONG_LONG
+   long long ll;
+#endif
+};
+
+template <class Distribution>
+struct DistributionConcept
+{
+   static void constraints()
+   {
+      typedef typename Distribution::value_type value_type;
+
+      const Distribution& dist = DistributionConcept<Distribution>::get_object();
+
+      value_type x = 0;
+       // The result values are ignored in all these checks.
+      check_result<value_type>(cdf(dist, x));
+      check_result<value_type>(cdf(complement(dist, x)));
+      check_result<value_type>(pdf(dist, x));
+      check_result<value_type>(quantile(dist, x));
+      check_result<value_type>(quantile(complement(dist, x)));
+      check_result<value_type>(mean(dist));
+      check_result<value_type>(mode(dist));
+      check_result<value_type>(standard_deviation(dist));
+      check_result<value_type>(variance(dist));
+      check_result<value_type>(hazard(dist, x));
+      check_result<value_type>(chf(dist, x));
+      check_result<value_type>(coefficient_of_variation(dist));
+      check_result<value_type>(skewness(dist));
+      check_result<value_type>(kurtosis(dist));
+      check_result<value_type>(kurtosis_excess(dist));
+      check_result<value_type>(median(dist));
+      //
+      // we can't actually test that at std::pair is returned from these
+      // because that would mean including some std lib headers....
+      //
+      range(dist);
+      support(dist);
+
+      check_result<value_type>(cdf(dist, f));
+      check_result<value_type>(cdf(complement(dist, f)));
+      check_result<value_type>(pdf(dist, f));
+      check_result<value_type>(quantile(dist, f));
+      check_result<value_type>(quantile(complement(dist, f)));
+      check_result<value_type>(hazard(dist, f));
+      check_result<value_type>(chf(dist, f));
+      check_result<value_type>(cdf(dist, d));
+      check_result<value_type>(cdf(complement(dist, d)));
+      check_result<value_type>(pdf(dist, d));
+      check_result<value_type>(quantile(dist, d));
+      check_result<value_type>(quantile(complement(dist, d)));
+      check_result<value_type>(hazard(dist, d));
+      check_result<value_type>(chf(dist, d));
+      check_result<value_type>(cdf(dist, l));
+      check_result<value_type>(cdf(complement(dist, l)));
+      check_result<value_type>(pdf(dist, l));
+      check_result<value_type>(quantile(dist, l));
+      check_result<value_type>(quantile(complement(dist, l)));
+      check_result<value_type>(hazard(dist, l));
+      check_result<value_type>(chf(dist, l));
+      check_result<value_type>(cdf(dist, i));
+      check_result<value_type>(cdf(complement(dist, i)));
+      check_result<value_type>(pdf(dist, i));
+      check_result<value_type>(quantile(dist, i));
+      check_result<value_type>(quantile(complement(dist, i)));
+      check_result<value_type>(hazard(dist, i));
+      check_result<value_type>(chf(dist, i));
+      unsigned long li = 1;
+      check_result<value_type>(cdf(dist, li));
+      check_result<value_type>(cdf(complement(dist, li)));
+      check_result<value_type>(pdf(dist, li));
+      check_result<value_type>(quantile(dist, li));
+      check_result<value_type>(quantile(complement(dist, li)));
+      check_result<value_type>(hazard(dist, li));
+      check_result<value_type>(chf(dist, li));
+   }
+private:
+   static void* storage()
+   {
+      static max_align_type storage[sizeof(Distribution)];
+      return storage;
+   }
+   static Distribution* get_object_p()
+   {
+      return static_cast<Distribution*>(storage());
+   }
+   static Distribution& get_object()
+   {
+      // will never get called:
+      return *get_object_p();
+   }
+}; // struct DistributionConcept
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#define TEST_DIST_FUNC(dist)\
+   DistributionConcept< boost::math::dist##_distribution<float> >::constraints();\
+   DistributionConcept< boost::math::dist##_distribution<double> >::constraints();\
+   DistributionConcept< boost::math::dist##_distribution<long double> >::constraints();
+#else
+#define TEST_DIST_FUNC(dist)\
+   DistributionConcept< boost::math::dist##_distribution<float> >::constraints();\
+   DistributionConcept< boost::math::dist##_distribution<double> >::constraints();
+#endif
diff --git a/src/boost/libs/math/test/compile_test/test_traits.cpp b/src/boost/libs/math/test/compile_test/test_traits.cpp
new file mode 100644
index 000000000..6af0ef360
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/test_traits.cpp
@@ -0,0 +1,56 @@
+//  Copyright John Maddock 2007.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/traits.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/math/distributions.hpp>
+
+using namespace boost::math;
+
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<double>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<int>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<bernoulli>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<beta_distribution<> >::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<binomial>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<cauchy>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<chi_squared>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<exponential>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<extreme_value>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<fisher_f>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<gamma_distribution<> >::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<lognormal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<negative_binomial>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<normal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<pareto>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<poisson>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<rayleigh>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<students_t>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<triangular>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<uniform>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_distribution<weibull>::value);
+
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<double>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<int>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<bernoulli>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<beta_distribution<> >::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<binomial>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<cauchy>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<chi_squared>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<exponential>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<extreme_value>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<fisher_f>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<gamma_distribution<> >::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<lognormal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<negative_binomial>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<normal>::value);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<pareto>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<poisson>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<rayleigh>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<students_t>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<triangular>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<uniform>::value == false);
+BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<weibull>::value == false);
+
diff --git a/src/boost/libs/math/test/compile_test/tools_config_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_config_inc_test.cpp
new file mode 100644
index 000000000..d9f765940
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_config_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/config.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/config.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_fraction_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_fraction_inc_test.cpp
new file mode 100644
index 000000000..e185137e0
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_fraction_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/fraction.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/fraction.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_minima_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_minima_inc_test.cpp
new file mode 100644
index 000000000..367d7b63a
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_minima_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/minima.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/minima.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_polynomial_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_polynomial_inc_test.cpp
new file mode 100644
index 000000000..111d5be5d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_polynomial_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/polynomial.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/polynomial.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_precision_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_precision_inc_test.cpp
new file mode 100644
index 000000000..84c59ef93
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_precision_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/precision.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/precision.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_rational_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_rational_inc_test.cpp
new file mode 100644
index 000000000..46b5de44f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_rational_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/rational.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/rational.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_real_cast_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_real_cast_inc_test.cpp
new file mode 100644
index 000000000..e46bdc94c
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_real_cast_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/real_cast.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/real_cast.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_remez_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_remez_inc_test.cpp
new file mode 100644
index 000000000..121b0b4da
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_remez_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/remez.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/remez.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_roots_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_roots_inc_test.cpp
new file mode 100644
index 000000000..61527c7c7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_roots_inc_test.cpp
@@ -0,0 +1,40 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/roots.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/tools/tuple.hpp>
+#include <utility> // for std::pair, our headers don't know what tuple type is to be used, we have to supply it.
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+inline void check_result_imp(std::pair<float, float>, std::pair<float, float>){}
+inline void check_result_imp(std::pair<double, double>, std::pair<double, double>){}
+inline void check_result_imp(std::pair<long double, long double>, std::pair<long double, long double>){}
+
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   typedef double (*F)(double);
+   typedef std::pair<double, double> (*F2)(double);
+   typedef boost::math::tuple<double, double, double> (*F3)(double);
+   typedef boost::math::tools::eps_tolerance<double> Tol;
+   Tol tol(u);
+   boost::uintmax_t max_iter = 0;
+   F f = 0;
+   F2 f2 = 0;
+   F3 f3 = 0;
+
+   check_result<std::pair<double, double> >(boost::math::tools::bisect<F, double, Tol>(f, d, d, tol, max_iter));
+   check_result<std::pair<double, double> >(boost::math::tools::bisect<F, double, Tol>(f, d, d, tol));
+   check_result<double>(boost::math::tools::newton_raphson_iterate<F2, double>(f2, d, d, d, i, max_iter));
+   check_result<double>(boost::math::tools::halley_iterate<F3, double>(f3, d, d, d, i, max_iter));
+   check_result<double>(boost::math::tools::schroder_iterate<F3, double>(f3, d, d, d, i, max_iter));
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tools_series_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_series_inc_test.cpp
new file mode 100644
index 000000000..f8558443b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_series_inc_test.cpp
@@ -0,0 +1,35 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/series.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/series.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+struct Functor
+{
+   typedef double result_type;
+   double operator()();
+};
+#define U double
+
+Functor func;
+boost::uintmax_t uim = 0;
+
+void compile_and_link_test()
+{
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor>(func, i));
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor>(func, i, uim));
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor, U>(func, i, d));
+   check_result<Functor::result_type>(boost::math::tools::sum_series<Functor, U>(func, i, uim, d));
+   check_result<Functor::result_type>(boost::math::tools::kahan_sum_series<Functor>(func, i));
+   check_result<Functor::result_type>(boost::math::tools::kahan_sum_series<Functor>(func, i, uim));
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tools_solve_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_solve_inc_test.cpp
new file mode 100644
index 000000000..a0dcd0d3b
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_solve_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/solve.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/solve.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tools_stats_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_stats_inc_test.cpp
new file mode 100644
index 000000000..6d5898b4d
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_stats_inc_test.cpp
@@ -0,0 +1,11 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/stats.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/stats.hpp>
+
+template class boost::math::tools::stats<double>;
diff --git a/src/boost/libs/math/test/compile_test/tools_test_data_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_test_data_inc_test.cpp
new file mode 100644
index 000000000..d2daa5e99
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_test_data_inc_test.cpp
@@ -0,0 +1,21 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/test_data.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/test_data.hpp>
+
+#define T double
+
+template boost::math::tools::parameter_info<T> boost::math::tools::make_random_param<T>(T start_range, T end_range, int n_points);
+template boost::math::tools::parameter_info<T> boost::math::tools::make_periodic_param<T>(T start_range, T end_range, int n_points);
+template boost::math::tools::parameter_info<T> boost::math::tools::make_power_param<T>(T basis, int start_exponent, int end_exponent);
+
+template class boost::math::tools::test_data<T>;
+
+template bool boost::math::tools::get_user_parameter_info<T>(boost::math::tools::parameter_info<T>& info, const char* param_name);
+
+
diff --git a/src/boost/libs/math/test/compile_test/tools_test_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_test_inc_test.cpp
new file mode 100644
index 000000000..8cc733777
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_test_inc_test.cpp
@@ -0,0 +1,36 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/test.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/test.hpp>
+#include <boost/array.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+inline void check_result_imp(boost::math::tools::test_result<double>, boost::math::tools::test_result<double>){}
+
+#include "test_compile_result.hpp"
+
+
+void compile_and_link_test()
+{
+   check_result<float>(boost::math::tools::relative_error<float>(f, f));
+
+   #define A boost::array<boost::array<double, 2>, 2>
+   typedef double (*F1)(const boost::array<double, 2>&);
+   typedef F1 F2;
+   A a;
+   F1 f1 = 0;
+   F2 f2 = 0;
+
+   check_result<boost::math::tools::test_result<
+      boost::math::tools::calculate_result_type<A>::value_type> >
+      (boost::math::tools::test<A, F1, F2>(a, f1, f2));
+
+}
+
diff --git a/src/boost/libs/math/test/compile_test/tools_toms748_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_toms748_inc_test.cpp
new file mode 100644
index 000000000..3c321006f
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_toms748_inc_test.cpp
@@ -0,0 +1,18 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/toms748_solve.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/toms748_solve.hpp>
+
+#define T double
+#define Tol boost::math::tools::eps_tolerance<double>
+
+typedef T (*F)(T);
+
+template std::pair<T, T> boost::math::tools::toms748_solve<F, T, Tol >(F, const T&, const T&, const T&, const T&, Tol, boost::uintmax_t&);
+template std::pair<T, T> boost::math::tools::toms748_solve<F, T, Tol>(F f, const T& ax, const T& bx, Tol tol, boost::uintmax_t& max_iter);
+template std::pair<T, T> boost::math::tools::bracket_and_solve_root<F, T, Tol>(F f, const T& guess, const T& factor, bool rising, Tol tol, boost::uintmax_t& max_iter);
diff --git a/src/boost/libs/math/test/compile_test/tools_tuple_inc_test.cpp b/src/boost/libs/math/test/compile_test/tools_tuple_inc_test.cpp
new file mode 100644
index 000000000..39910e9b7
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tools_tuple_inc_test.cpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tools/config.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tools/tuple.hpp>
+
diff --git a/src/boost/libs/math/test/compile_test/tr1_incl_test.cpp b/src/boost/libs/math/test/compile_test/tr1_incl_test.cpp
new file mode 100644
index 000000000..43baafbec
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/tr1_incl_test.cpp
@@ -0,0 +1,366 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/tr1.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/tr1.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+   unsigned ui = 0;
+
+   check_result<float>(boost::math::tr1::assoc_laguerre(ui, ui, f));
+   check_result<float>(boost::math::tr1::assoc_laguerref(ui, ui, f));
+   check_result<double>(boost::math::tr1::assoc_laguerre(ui, ui, d));
+   check_result<long double>(boost::math::tr1::assoc_laguerre(ui, ui, l));
+   check_result<long double>(boost::math::tr1::assoc_laguerrel(ui, ui, l));
+   check_result<double>(boost::math::tr1::assoc_laguerre(ui, ui, i));
+   check_result<double>(boost::math::tr1::assoc_laguerre(ui, ui, ui));
+
+   check_result<float>(boost::math::tr1::assoc_legendre(ui, ui, f));
+   check_result<float>(boost::math::tr1::assoc_legendref(ui, ui, f));
+   check_result<double>(boost::math::tr1::assoc_legendre(ui, ui, d));
+   check_result<long double>(boost::math::tr1::assoc_legendre(ui, ui, l));
+   check_result<long double>(boost::math::tr1::assoc_legendrel(ui, ui, l));
+   check_result<double>(boost::math::tr1::assoc_legendre(ui, ui, i));
+   check_result<double>(boost::math::tr1::assoc_legendre(ui, ui, ui));
+
+   check_result<float>(boost::math::tr1::beta(f, f));
+   check_result<float>(boost::math::tr1::betaf(f, f));
+   check_result<double>(boost::math::tr1::beta(d, d));
+   check_result<long double>(boost::math::tr1::beta(l, l));
+   check_result<long double>(boost::math::tr1::betal(l, l));
+   check_result<double>(boost::math::tr1::beta(ui, ui));
+   check_result<double>(boost::math::tr1::beta(i, ui));
+   check_result<double>(boost::math::tr1::beta(f, d));
+   check_result<long double>(boost::math::tr1::beta(l, d));
+
+   check_result<float>(boost::math::tr1::comp_ellint_1(f));
+   check_result<float>(boost::math::tr1::comp_ellint_1f(f));
+   check_result<double>(boost::math::tr1::comp_ellint_1(d));
+   check_result<long double>(boost::math::tr1::comp_ellint_1(l));
+   check_result<long double>(boost::math::tr1::comp_ellint_1l(l));
+   check_result<double>(boost::math::tr1::comp_ellint_1(ui));
+   check_result<double>(boost::math::tr1::comp_ellint_1(i));
+
+   check_result<float>(boost::math::tr1::comp_ellint_2(f));
+   check_result<float>(boost::math::tr1::comp_ellint_2f(f));
+   check_result<double>(boost::math::tr1::comp_ellint_2(d));
+   check_result<long double>(boost::math::tr1::comp_ellint_2(l));
+   check_result<long double>(boost::math::tr1::comp_ellint_2l(l));
+   check_result<double>(boost::math::tr1::comp_ellint_2(ui));
+   check_result<double>(boost::math::tr1::comp_ellint_2(i));
+
+   check_result<float>(boost::math::tr1::comp_ellint_3(f, f));
+   check_result<float>(boost::math::tr1::comp_ellint_3f(f, f));
+   check_result<double>(boost::math::tr1::comp_ellint_3(d, d));
+   check_result<long double>(boost::math::tr1::comp_ellint_3(l, l));
+   check_result<long double>(boost::math::tr1::comp_ellint_3l(l, l));
+   check_result<double>(boost::math::tr1::comp_ellint_3(ui, ui));
+   check_result<double>(boost::math::tr1::comp_ellint_3(i, ui));
+   check_result<double>(boost::math::tr1::comp_ellint_3(f, d));
+   check_result<long double>(boost::math::tr1::comp_ellint_3(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_bessel_i(f, f));
+   check_result<float>(boost::math::tr1::cyl_bessel_if(f, f));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(d, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_i(l, l));
+   check_result<long double>(boost::math::tr1::cyl_bessel_il(l, l));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(i, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_i(f, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_i(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_bessel_j(f, f));
+   check_result<float>(boost::math::tr1::cyl_bessel_jf(f, f));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(d, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_j(l, l));
+   check_result<long double>(boost::math::tr1::cyl_bessel_jl(l, l));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(i, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_j(f, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_j(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_bessel_k(f, f));
+   check_result<float>(boost::math::tr1::cyl_bessel_kf(f, f));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(d, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_k(l, l));
+   check_result<long double>(boost::math::tr1::cyl_bessel_kl(l, l));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(i, ui));
+   check_result<double>(boost::math::tr1::cyl_bessel_k(f, d));
+   check_result<long double>(boost::math::tr1::cyl_bessel_k(l, d));
+
+   check_result<float>(boost::math::tr1::cyl_neumann(f, f));
+   check_result<float>(boost::math::tr1::cyl_neumannf(f, f));
+   check_result<double>(boost::math::tr1::cyl_neumann(d, d));
+   check_result<long double>(boost::math::tr1::cyl_neumann(l, l));
+   check_result<long double>(boost::math::tr1::cyl_neumannl(l, l));
+   check_result<double>(boost::math::tr1::cyl_neumann(ui, ui));
+   check_result<double>(boost::math::tr1::cyl_neumann(i, ui));
+   check_result<double>(boost::math::tr1::cyl_neumann(f, d));
+   check_result<long double>(boost::math::tr1::cyl_neumann(l, d));
+
+   check_result<float>(boost::math::tr1::ellint_1(f, f));
+   check_result<float>(boost::math::tr1::ellint_1f(f, f));
+   check_result<double>(boost::math::tr1::ellint_1(d, d));
+   check_result<long double>(boost::math::tr1::ellint_1(l, l));
+   check_result<long double>(boost::math::tr1::ellint_1l(l, l));
+   check_result<double>(boost::math::tr1::ellint_1(ui, ui));
+   check_result<double>(boost::math::tr1::ellint_1(i, ui));
+   check_result<double>(boost::math::tr1::ellint_1(f, d));
+   check_result<long double>(boost::math::tr1::ellint_1(l, d));
+
+   check_result<float>(boost::math::tr1::ellint_2(f, f));
+   check_result<float>(boost::math::tr1::ellint_2f(f, f));
+   check_result<double>(boost::math::tr1::ellint_2(d, d));
+   check_result<long double>(boost::math::tr1::ellint_2(l, l));
+   check_result<long double>(boost::math::tr1::ellint_2l(l, l));
+   check_result<double>(boost::math::tr1::ellint_2(ui, ui));
+   check_result<double>(boost::math::tr1::ellint_2(i, ui));
+   check_result<double>(boost::math::tr1::ellint_2(f, d));
+   check_result<long double>(boost::math::tr1::ellint_2(l, d));
+
+   check_result<float>(boost::math::tr1::ellint_3(f, f, f));
+   check_result<float>(boost::math::tr1::ellint_3f(f, f, f));
+   check_result<double>(boost::math::tr1::ellint_3(d, d, d));
+   check_result<long double>(boost::math::tr1::ellint_3(l, l, l));
+   check_result<long double>(boost::math::tr1::ellint_3l(l, l, l));
+   check_result<double>(boost::math::tr1::ellint_3(ui, ui, i));
+   check_result<double>(boost::math::tr1::ellint_3(i, ui, f));
+   check_result<double>(boost::math::tr1::ellint_3(f, d, i));
+   check_result<long double>(boost::math::tr1::ellint_3(l, d, f));
+
+   check_result<float>(boost::math::tr1::expint(f));
+   check_result<float>(boost::math::tr1::expintf(f));
+   check_result<double>(boost::math::tr1::expint(d));
+   check_result<long double>(boost::math::tr1::expint(l));
+   check_result<long double>(boost::math::tr1::expintl(l));
+   check_result<double>(boost::math::tr1::expint(ui));
+   check_result<double>(boost::math::tr1::expint(i));
+
+   check_result<float>(boost::math::tr1::hermite(ui, f));
+   check_result<float>(boost::math::tr1::hermitef(ui, f));
+   check_result<double>(boost::math::tr1::hermite(ui, d));
+   check_result<long double>(boost::math::tr1::hermite(ui, l));
+   check_result<long double>(boost::math::tr1::hermitel(ui, l));
+   check_result<double>(boost::math::tr1::hermite(ui, i));
+   check_result<double>(boost::math::tr1::hermite(ui, ui));
+
+   check_result<float>(boost::math::tr1::laguerre(ui, f));
+   check_result<float>(boost::math::tr1::laguerref(ui, f));
+   check_result<double>(boost::math::tr1::laguerre(ui, d));
+   check_result<long double>(boost::math::tr1::laguerre(ui, l));
+   check_result<long double>(boost::math::tr1::laguerrel(ui, l));
+   check_result<double>(boost::math::tr1::laguerre(ui, i));
+   check_result<double>(boost::math::tr1::laguerre(ui, ui));
+
+   check_result<float>(boost::math::tr1::legendre(ui, f));
+   check_result<float>(boost::math::tr1::legendref(ui, f));
+   check_result<double>(boost::math::tr1::legendre(ui, d));
+   check_result<long double>(boost::math::tr1::legendre(ui, l));
+   check_result<long double>(boost::math::tr1::legendrel(ui, l));
+   check_result<double>(boost::math::tr1::legendre(ui, i));
+   check_result<double>(boost::math::tr1::legendre(ui, ui));
+
+   check_result<float>(boost::math::tr1::riemann_zeta(f));
+   check_result<float>(boost::math::tr1::riemann_zetaf(f));
+   check_result<double>(boost::math::tr1::riemann_zeta(d));
+   check_result<long double>(boost::math::tr1::riemann_zeta(l));
+   check_result<long double>(boost::math::tr1::riemann_zetal(l));
+   check_result<double>(boost::math::tr1::riemann_zeta(ui));
+   check_result<double>(boost::math::tr1::riemann_zeta(i));
+
+   check_result<float>(boost::math::tr1::sph_bessel(ui, f));
+   check_result<float>(boost::math::tr1::sph_besself(ui, f));
+   check_result<double>(boost::math::tr1::sph_bessel(ui, d));
+   check_result<long double>(boost::math::tr1::sph_bessel(ui, l));
+   check_result<long double>(boost::math::tr1::sph_bessell(ui, l));
+   check_result<double>(boost::math::tr1::sph_bessel(ui, i));
+   check_result<double>(boost::math::tr1::sph_bessel(ui, ui));
+
+   check_result<float>(boost::math::tr1::sph_legendre(ui, ui, f));
+   check_result<float>(boost::math::tr1::sph_legendref(ui, ui, f));
+   check_result<double>(boost::math::tr1::sph_legendre(ui, ui, d));
+   check_result<long double>(boost::math::tr1::sph_legendre(ui, ui, l));
+   check_result<long double>(boost::math::tr1::sph_legendrel(ui, ui, l));
+   check_result<double>(boost::math::tr1::sph_legendre(ui, ui, i));
+   check_result<double>(boost::math::tr1::sph_legendre(ui, ui, ui));
+
+   check_result<float>(boost::math::tr1::sph_neumann(ui, f));
+   check_result<float>(boost::math::tr1::sph_neumannf(ui, f));
+   check_result<double>(boost::math::tr1::sph_neumann(ui, d));
+   check_result<long double>(boost::math::tr1::sph_neumann(ui, l));
+   check_result<long double>(boost::math::tr1::sph_neumannl(ui, l));
+   check_result<double>(boost::math::tr1::sph_neumann(ui, i));
+   check_result<double>(boost::math::tr1::sph_neumann(ui, ui));
+
+   check_result<float>(boost::math::tr1::acosh(f));
+   check_result<float>(boost::math::tr1::acoshf(f));
+   check_result<double>(boost::math::tr1::acosh(d));
+   check_result<long double>(boost::math::tr1::acosh(l));
+   check_result<long double>(boost::math::tr1::acoshl(l));
+   check_result<double>(boost::math::tr1::acosh(ui));
+   check_result<double>(boost::math::tr1::acosh(i));
+
+   check_result<float>(boost::math::tr1::asinh(f));
+   check_result<float>(boost::math::tr1::asinhf(f));
+   check_result<double>(boost::math::tr1::asinh(d));
+   check_result<long double>(boost::math::tr1::asinh(l));
+   check_result<long double>(boost::math::tr1::asinhl(l));
+   check_result<double>(boost::math::tr1::asinh(ui));
+   check_result<double>(boost::math::tr1::asinh(i));
+
+   check_result<float>(boost::math::tr1::atanh(f));
+   check_result<float>(boost::math::tr1::atanhf(f));
+   check_result<double>(boost::math::tr1::atanh(d));
+   check_result<long double>(boost::math::tr1::atanh(l));
+   check_result<long double>(boost::math::tr1::atanhl(l));
+   check_result<double>(boost::math::tr1::atanh(ui));
+   check_result<double>(boost::math::tr1::atanh(i));
+
+   check_result<float>(boost::math::tr1::cbrt(f));
+   check_result<float>(boost::math::tr1::cbrtf(f));
+   check_result<double>(boost::math::tr1::cbrt(d));
+   check_result<long double>(boost::math::tr1::cbrt(l));
+   check_result<long double>(boost::math::tr1::cbrtl(l));
+   check_result<double>(boost::math::tr1::cbrt(ui));
+   check_result<double>(boost::math::tr1::cbrt(i));
+
+   check_result<float>(boost::math::tr1::copysign(f, f));
+   check_result<float>(boost::math::tr1::copysignf(f, f));
+   check_result<double>(boost::math::tr1::copysign(d, d));
+   check_result<long double>(boost::math::tr1::copysign(l, l));
+   check_result<long double>(boost::math::tr1::copysignl(l, l));
+   check_result<double>(boost::math::tr1::copysign(d, i));
+   check_result<double>(boost::math::tr1::copysign(ui, f));
+
+   check_result<float>(boost::math::tr1::erf(f));
+   check_result<float>(boost::math::tr1::erff(f));
+   check_result<double>(boost::math::tr1::erf(d));
+   check_result<long double>(boost::math::tr1::erf(l));
+   check_result<long double>(boost::math::tr1::erfl(l));
+   check_result<double>(boost::math::tr1::erf(ui));
+   check_result<double>(boost::math::tr1::erf(i));
+
+   check_result<float>(boost::math::tr1::erfc(f));
+   check_result<float>(boost::math::tr1::erfcf(f));
+   check_result<double>(boost::math::tr1::erfc(d));
+   check_result<long double>(boost::math::tr1::erfc(l));
+   check_result<long double>(boost::math::tr1::erfcl(l));
+   check_result<double>(boost::math::tr1::erfc(ui));
+   check_result<double>(boost::math::tr1::erfc(i));
+
+   check_result<float>(boost::math::tr1::expm1(f));
+   check_result<float>(boost::math::tr1::expm1f(f));
+   check_result<double>(boost::math::tr1::expm1(d));
+   check_result<long double>(boost::math::tr1::expm1(l));
+   check_result<long double>(boost::math::tr1::expm1l(l));
+   check_result<double>(boost::math::tr1::expm1(ui));
+   check_result<double>(boost::math::tr1::expm1(i));
+
+   check_result<float>(boost::math::tr1::fmin(f, f));
+   check_result<float>(boost::math::tr1::fminf(f, f));
+   check_result<double>(boost::math::tr1::fmin(d, d));
+   check_result<long double>(boost::math::tr1::fmin(l, l));
+   check_result<long double>(boost::math::tr1::fminl(l, l));
+   check_result<double>(boost::math::tr1::fmin(d, i));
+   check_result<double>(boost::math::tr1::fmin(ui, f));
+
+   check_result<float>(boost::math::tr1::fmax(f, f));
+   check_result<float>(boost::math::tr1::fmaxf(f, f));
+   check_result<double>(boost::math::tr1::fmax(d, d));
+   check_result<long double>(boost::math::tr1::fmax(l, l));
+   check_result<long double>(boost::math::tr1::fmaxl(l, l));
+   check_result<double>(boost::math::tr1::fmax(d, i));
+   check_result<double>(boost::math::tr1::fmax(ui, f));
+
+   check_result<float>(boost::math::tr1::hypot(f, f));
+   check_result<float>(boost::math::tr1::hypotf(f, f));
+   check_result<double>(boost::math::tr1::hypot(d, d));
+   check_result<long double>(boost::math::tr1::hypot(l, l));
+   check_result<long double>(boost::math::tr1::hypotl(l, l));
+   check_result<double>(boost::math::tr1::hypot(d, i));
+   check_result<double>(boost::math::tr1::hypot(ui, f));
+
+   check_result<float>(boost::math::tr1::lgamma(f));
+   check_result<float>(boost::math::tr1::lgammaf(f));
+   check_result<double>(boost::math::tr1::lgamma(d));
+   check_result<long double>(boost::math::tr1::lgamma(l));
+   check_result<long double>(boost::math::tr1::lgammal(l));
+   check_result<double>(boost::math::tr1::lgamma(ui));
+   check_result<double>(boost::math::tr1::lgamma(i));
+
+   check_result<long long>(boost::math::tr1::llround(f));
+   check_result<long long>(boost::math::tr1::llroundf(f));
+   check_result<long long>(boost::math::tr1::llround(d));
+   check_result<long long>(boost::math::tr1::llround(l));
+   check_result<long long>(boost::math::tr1::llroundl(l));
+   check_result<long long>(boost::math::tr1::llround(ui));
+   check_result<long long>(boost::math::tr1::llround(i));
+
+   check_result<float>(boost::math::tr1::log1p(f));
+   check_result<float>(boost::math::tr1::log1pf(f));
+   check_result<double>(boost::math::tr1::log1p(d));
+   check_result<long double>(boost::math::tr1::log1p(l));
+   check_result<long double>(boost::math::tr1::log1pl(l));
+   check_result<double>(boost::math::tr1::log1p(ui));
+   check_result<double>(boost::math::tr1::log1p(i));
+
+   check_result<long>(boost::math::tr1::lround(f));
+   check_result<long>(boost::math::tr1::lroundf(f));
+   check_result<long>(boost::math::tr1::lround(d));
+   check_result<long>(boost::math::tr1::lround(l));
+   check_result<long>(boost::math::tr1::lroundl(l));
+   check_result<long>(boost::math::tr1::lround(ui));
+   check_result<long>(boost::math::tr1::lround(i));
+
+   check_result<float>(boost::math::tr1::round(f));
+   check_result<float>(boost::math::tr1::roundf(f));
+   check_result<double>(boost::math::tr1::round(d));
+   check_result<long double>(boost::math::tr1::round(l));
+   check_result<long double>(boost::math::tr1::roundl(l));
+   check_result<double>(boost::math::tr1::round(ui));
+   check_result<double>(boost::math::tr1::round(i));
+
+   check_result<float>(boost::math::tr1::nextafter(f, f));
+   check_result<float>(boost::math::tr1::nextafterf(f, f));
+   check_result<double>(boost::math::tr1::nextafter(d, d));
+   check_result<long double>(boost::math::tr1::nextafter(l, l));
+   check_result<long double>(boost::math::tr1::nextafterl(l, l));
+   check_result<double>(boost::math::tr1::nextafter(d, i));
+   check_result<double>(boost::math::tr1::nextafter(ui, f));
+
+   check_result<float>(boost::math::tr1::nexttoward(f, f));
+   check_result<float>(boost::math::tr1::nexttowardf(f, f));
+   check_result<double>(boost::math::tr1::nexttoward(d, d));
+   check_result<long double>(boost::math::tr1::nexttoward(l, l));
+   check_result<long double>(boost::math::tr1::nexttowardl(l, l));
+   check_result<double>(boost::math::tr1::nexttoward(d, i));
+   check_result<double>(boost::math::tr1::nexttoward(ui, f));
+
+   check_result<float>(boost::math::tr1::tgamma(f));
+   check_result<float>(boost::math::tr1::tgammaf(f));
+   check_result<double>(boost::math::tr1::tgamma(d));
+   check_result<long double>(boost::math::tr1::tgamma(l));
+   check_result<long double>(boost::math::tr1::tgammal(l));
+   check_result<double>(boost::math::tr1::tgamma(ui));
+   check_result<double>(boost::math::tr1::tgamma(i));
+
+   check_result<float>(boost::math::tr1::trunc(f));
+   check_result<float>(boost::math::tr1::truncf(f));
+   check_result<double>(boost::math::tr1::trunc(d));
+   check_result<long double>(boost::math::tr1::trunc(l));
+   check_result<long double>(boost::math::tr1::truncl(l));
+   check_result<double>(boost::math::tr1::trunc(ui));
+   check_result<double>(boost::math::tr1::trunc(i));
+
+}
diff --git a/src/boost/libs/math/test/compile_test/trapezoidal_concept_test.cpp b/src/boost/libs/math/test/compile_test/trapezoidal_concept_test.cpp
new file mode 100644
index 000000000..0a8318f56
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/trapezoidal_concept_test.cpp
@@ -0,0 +1,20 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/quadrature/trapezoidal.hpp>
+
+
+boost::math::concepts::std_real_concept func(boost::math::concepts::std_real_concept x)
+{
+   return x;
+}
+
+void compile_and_link_test()
+{
+   boost::math::concepts::std_real_concept a = 0;
+   boost::math::concepts::std_real_concept b = 1;
+   boost::math::quadrature::trapezoidal(func, a, b);
+}
diff --git a/src/boost/libs/math/test/compile_test/trapezoidal_incl_test.cpp b/src/boost/libs/math/test/compile_test/trapezoidal_incl_test.cpp
new file mode 100644
index 000000000..984982321
--- /dev/null
+++ b/src/boost/libs/math/test/compile_test/trapezoidal_incl_test.cpp
@@ -0,0 +1,23 @@
+//  Copyright Nick Thompson 2017.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/gamma.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/quadrature/trapezoidal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+double func(double x) { return x; }
+
+void compile_and_link_test()
+{
+    double a = 0;
+    double b = 1;
+    check_result<double>(boost::math::quadrature::trapezoidal(func, a, b));
+}
diff --git a/src/boost/libs/math/test/complex_test.cpp b/src/boost/libs/math/test/complex_test.cpp
new file mode 100644
index 000000000..f2a0b6c82
--- /dev/null
+++ b/src/boost/libs/math/test/complex_test.cpp
@@ -0,0 +1,921 @@
+//  (C) Copyright John Maddock 2005.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/math/complex.hpp>
+
+#include <iostream>
+#include <iomanip>
+#include <cmath>
+#include <typeinfo>
+
+#ifdef BOOST_NO_STDC_NAMESPACE
+namespace std{ using ::sqrt; using ::tan; using ::tanh; }
+#endif
+
+#ifndef VERBOSE
+#undef BOOST_TEST_MESSAGE
+#define BOOST_TEST_MESSAGE(x)
+#endif
+
+//
+// check_complex:
+// Verifies that expected value "a" and found value "b" have a relative error
+// less than "max_error" epsilons.  Note that relative error is calculated for
+// the complex number as a whole; this means that the error in the real or 
+// imaginary parts alone can be much higher than max_error when the real and 
+// imaginary parts are of very different magnitudes.  This is important, because
+// the Hull et al analysis of the acos and asin algorithms requires that very small
+// real/imaginary components can be safely ignored if they are negligible compared
+// to the other component.
+//
+template <class T>
+bool check_complex(const std::complex<T>& a, const std::complex<T>& b, int max_error)
+{
+   //
+   // a is the expected value, b is what was actually found,
+   // compute | (a-b)/b | and compare with max_error which is the 
+   // multiple of E to permit:
+   //
+   bool result = true;
+   static const std::complex<T> zero(0);
+   static const T eps = std::pow(static_cast<T>(std::numeric_limits<T>::radix), static_cast<T>(1 - std::numeric_limits<T>::digits));
+   if(a == zero)
+   {
+      if(b != zero)
+      {
+         if(boost::math::fabs(b) > eps)
+         {
+            result = false;
+            BOOST_ERROR("Expected {0,0} but got: " << b);
+         }
+         else
+         {
+            BOOST_TEST_MESSAGE("Expected {0,0} but got: " << b);
+         }
+      }
+      return result;
+   }
+   else if(b == zero)
+   {
+      if(boost::math::fabs(a) > eps)
+      {
+         BOOST_ERROR("Found {0,0} but expected: " << a);
+         return false;;
+      }
+      else
+      {
+         BOOST_TEST_MESSAGE("Found {0,0} but expected: " << a);
+      }
+   }
+
+   if((boost::math::isnan)(a.real()))
+   {
+      BOOST_ERROR("Found non-finite value for real part: " << a);
+   }
+   if((boost::math::isnan)(a.imag()))
+   {
+      BOOST_ERROR("Found non-finite value for imaginary part: " << a);
+   }
+
+   T rel = boost::math::fabs((b-a)/b) / eps;
+   if( rel > max_error)
+   {
+      result = false;
+      BOOST_ERROR("Error in result exceeded permitted limit of " << max_error << " (actual relative error was " << rel << "e).  Found " << b << " expected " << a);
+   }
+   return result;
+}
+
+//
+// test_inverse_trig:
+// This is nothing more than a sanity check, computes trig(atrig(z)) 
+// and compare the result to z.  Note that:
+//
+// atrig(trig(z)) != z
+//
+// for certain z because the inverse trig functions are multi-valued, this 
+// essentially rules this out as a testing method.  On the other hand:
+//
+// trig(atrig(z))
+//
+// can vary compare to z by an arbitrarily large amount.  For one thing we 
+// have no control over the implementation of the trig functions, for another
+// even if both functions were accurate to 1ulp (as accurate as transcendental
+// number can get, thanks to the "table makers dilemma"), the errors can still
+// be arbitrarily large - often the inverse trig functions will map a very large
+// part of the complex domain into a small output domain, so you can never get
+// back exactly where you started from.  Consequently these tests are no more than
+// sanity checks (just verifies that signs are correct and so on).
+//
+template <class T>
+void test_inverse_trig(T)
+{
+   using namespace std;
+
+   static const T interval = static_cast<T>(2.0L/128.0L);
+
+   T x, y;
+
+   std::cout << std::setprecision(std::numeric_limits<T>::digits10+2);
+
+   for(x = -1; x <= 1; x += interval)
+   {
+      for(y = -1; y <= 1; y += interval)
+      {
+         // acos:
+         std::complex<T> val(x, y), inter, result;
+         inter = boost::math::acos(val);
+         result = cos(inter);
+         if(!check_complex(val, result, 50))
+         {
+            std::cout << "Error in testing inverse complex cos for type " << typeid(T).name() << std::endl;
+            std::cout << "   val=             " << val << std::endl;
+            std::cout << "   acos(val) =      " << inter << std::endl;
+            std::cout << "   cos(acos(val)) = " << result << std::endl;
+         }
+         // asin:
+         inter = boost::math::asin(val);
+         result = sin(inter);
+         if(!check_complex(val, result, 5))
+         {
+            std::cout << "Error in testing inverse complex sin for type " << typeid(T).name() << std::endl;
+            std::cout << "   val=             " << val << std::endl;
+            std::cout << "   asin(val) =      " << inter << std::endl;
+            std::cout << "   sin(asin(val)) = " << result << std::endl;
+         }
+      }
+   }
+
+   static const T interval2 = static_cast<T>(3.0L/256.0L);
+   for(x = -3; x <= 3; x += interval2)
+   {
+      for(y = -3; y <= 3; y += interval2)
+      {
+         // asinh:
+         std::complex<T> val(x, y), inter, result;
+         inter = boost::math::asinh(val);
+         result = sinh(inter);
+         if(!check_complex(val, result, 5))
+         {
+            std::cout << "Error in testing inverse complex sinh for type " << typeid(T).name() << std::endl;
+            std::cout << "   val=               " << val << std::endl;
+            std::cout << "   asinh(val) =       " << inter << std::endl;
+            std::cout << "   sinh(asinh(val)) = " << result << std::endl;
+         }
+         // acosh:
+         if(!((y == 0) && (x <= 1))) // can't test along the branch cut
+         {
+            inter = boost::math::acosh(val);
+            result = cosh(inter);
+            if(!check_complex(val, result, 60))
+            {
+               std::cout << "Error in testing inverse complex cosh for type " << typeid(T).name() << std::endl;
+               std::cout << "   val=               " << val << std::endl;
+               std::cout << "   acosh(val) =       " << inter << std::endl;
+               std::cout << "   cosh(acosh(val)) = " << result << std::endl;
+            }
+         }
+         //
+         // There is a problem in testing atan and atanh:
+         // The inverse functions map a large input range to a much
+         // smaller output range, so at the extremes too rather different
+         // inputs may map to the same output value once rounded to N places.
+         // Consequently tan(atan(z)) can suffer from arbitrarily large errors
+         // even if individually they each have a small error bound.  On the other
+         // hand we can't test atan(tan(z)) either because atan is multi-valued, so
+         // round-tripping in this direction isn't always possible.
+         // The following heuristic is designed to make the best of a bad job,
+         // using atan(tan(z)) where possible and tan(atan(z)) when it's not.
+         //
+         static const int tanh_error = 20;
+         if((0 != x) && (0 != y) && ((std::fabs(y) < 1) || (std::fabs(x) < 1)))
+         {
+            // atanh:
+            val = boost::math::atanh(val);
+            inter = tanh(val);
+            result = boost::math::atanh(inter);
+            if(!check_complex(val, result, tanh_error))
+            {
+               std::cout << "Error in testing inverse complex tanh for type " << typeid(T).name() << std::endl;
+               std::cout << "   val=               " << val << std::endl;
+               std::cout << "   tanh(val) =        " << inter << std::endl;
+               std::cout << "   atanh(tanh(val)) = " << result << std::endl;
+            }
+            // atan:
+            if(!((x == 0) && (std::fabs(y) == 1))) // we can't test infinities here
+            {
+               val = std::complex<T>(x, y);
+               val = boost::math::atan(val);
+               inter = tan(val);
+               result = boost::math::atan(inter);
+               if(!check_complex(val, result, tanh_error))
+               {
+                  std::cout << "Error in testing inverse complex tan for type " << typeid(T).name() << std::endl;
+                  std::cout << "   val=               " << val << std::endl;
+                  std::cout << "   tan(val) =         " << inter << std::endl;
+                  std::cout << "   atan(tan(val)) =   " << result << std::endl;
+               }
+            }
+         }
+         else
+         {
+            // atanh:
+            inter = boost::math::atanh(val);
+            result = tanh(inter);
+            if(!check_complex(val, result, tanh_error))
+            {
+               std::cout << "Error in testing inverse complex atanh for type " << typeid(T).name() << std::endl;
+               std::cout << "   val=                 " << val << std::endl;
+               std::cout << "   atanh(val) =         " << inter << std::endl;
+               std::cout << "   tanh(atanh(val)) =   " << result << std::endl;
+            }
+            // atan:
+            if(!((x == 0) && (std::fabs(y) == 1))) // we can't test infinities here
+            {
+               inter = boost::math::atan(val);
+               result = tan(inter);
+               if(!check_complex(val, result, tanh_error))
+               {
+                  std::cout << "Error in testing inverse complex atan for type " << typeid(T).name() << std::endl;
+                  std::cout << "   val=                 " << val << std::endl;
+                  std::cout << "   atan(val) =          " << inter << std::endl;
+                  std::cout << "   tan(atan(val)) =     " << result << std::endl;
+               }
+            }
+         }
+      }
+   }
+}
+
+//
+// check_spots:
+// Various spot values, mostly the C99 special cases (infinities and NAN's).
+// TODO: add spot checks for the Wolfram spot values.
+//
+template <class T>
+void check_spots(const T&)
+{
+   typedef std::complex<T> ct;
+   ct result;
+   static const T two = 2.0;
+   T eps = std::pow(two, T(1-std::numeric_limits<T>::digits)); // numeric_limits<>::epsilon way too small to be useful on Darwin.
+   static const T zero = 0;
+   static const T mzero = -zero;
+   static const T one = 1;
+   static const T pi = boost::math::constants::pi<T>();
+   static const T half_pi = boost::math::constants::half_pi<T>();
+   static const T quarter_pi = half_pi / 2;
+   static const T three_quarter_pi = boost::math::constants::three_quarters_pi<T>();
+   T infinity = std::numeric_limits<T>::infinity();
+   bool test_infinity = std::numeric_limits<T>::has_infinity;
+   T nan = 0;
+   bool test_nan = false;
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x564))
+   // numeric_limits reports that a quiet NaN is present
+   // but an attempt to access it will terminate the program!!!!
+   if(std::numeric_limits<T>::has_quiet_NaN)
+      nan = std::numeric_limits<T>::quiet_NaN();
+   if((boost::math::isnan)(nan))
+      test_nan = true;
+#endif
+#if defined(__DECCXX) && !defined(_IEEE_FP)
+   // Tru64 cxx traps infinities unless the -ieee option is used:
+   test_infinity = false;
+#endif
+
+   //
+   // C99 spot tests for acos:
+   //
+   result = boost::math::acos(ct(zero));
+   check_complex(ct(half_pi), result, 2);
+   
+   result = boost::math::acos(ct(mzero));
+   check_complex(ct(half_pi), result, 2);
+   
+   result = boost::math::acos(ct(zero, mzero));
+   check_complex(ct(half_pi), result, 2);
+   
+   result = boost::math::acos(ct(mzero, mzero));
+   check_complex(ct(half_pi), result, 2);
+   
+   if(test_nan)
+   {
+      result = boost::math::acos(ct(zero,nan));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   
+      result = boost::math::acos(ct(mzero,nan));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(test_infinity)
+   {
+      result = boost::math::acos(ct(zero, infinity));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(zero, -infinity));
+      BOOST_CHECK_CLOSE(result.real(), half_pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::acos(ct(one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(test_infinity)
+   {
+      result = boost::math::acos(ct(-infinity, one));
+      BOOST_CHECK_CLOSE(result.real(), pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(infinity, one));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(-infinity, -one));
+      BOOST_CHECK_CLOSE(result.real(), pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+
+      result = boost::math::acos(ct(infinity, -one));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK(result.imag() == infinity);
+
+      result = boost::math::acos(ct(-infinity, infinity));
+      BOOST_CHECK_CLOSE(result.real(), three_quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(infinity, infinity));
+      BOOST_CHECK_CLOSE(result.real(), quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == -infinity);
+
+      result = boost::math::acos(ct(-infinity, -infinity));
+      BOOST_CHECK_CLOSE(result.real(), three_quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+
+      result = boost::math::acos(ct(infinity, -infinity));
+      BOOST_CHECK_CLOSE(result.real(), quarter_pi, eps*200);
+      BOOST_CHECK(result.imag() == infinity);
+   }
+   if(test_nan)
+   {
+      result = boost::math::acos(ct(infinity, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(std::fabs(result.imag()) == infinity);
+
+      result = boost::math::acos(ct(-infinity, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(std::fabs(result.imag()) == infinity);
+
+      result = boost::math::acos(ct(nan, zero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, -zero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, -one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::acos(ct(nan, infinity));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == -infinity);
+      
+      result = boost::math::acos(ct(nan, -infinity));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == infinity);
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::acos(ct(-1.25f, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() < 0);
+      result = boost::math::asin(ct(-1.75f, mzero));
+      BOOST_CHECK(result.real() < 0);
+      BOOST_CHECK(result.imag() < 0);
+      result = boost::math::atan(ct(mzero, -1.75f));
+      BOOST_CHECK(result.real() < 0);
+      BOOST_CHECK(result.imag() < 0);
+
+      result = boost::math::acos(ct(zero, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK((boost::math::signbit)(result.imag()));
+      result = boost::math::acos(ct(zero, mzero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK(0 == (boost::math::signbit)(result.imag()));
+      result = boost::math::acos(ct(mzero, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK((boost::math::signbit)(result.imag()));
+      result = boost::math::acos(ct(mzero, mzero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() == 0);
+      BOOST_CHECK(0 == (boost::math::signbit)(result.imag()));
+   }
+
+   //
+   // C99 spot tests for acosh:
+   //
+   result = boost::math::acosh(ct(zero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+   result = boost::math::acosh(ct(zero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+   result = boost::math::acosh(ct(mzero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   
+   result = boost::math::acosh(ct(mzero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+   
+   if(test_infinity)
+   {
+      result = boost::math::acosh(ct(one, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::acosh(ct(one, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::acosh(ct(one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(test_infinity)
+   {
+      result = boost::math::acosh(ct(-infinity, one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::acosh(ct(-infinity, -one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, -one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::acosh(ct(-infinity, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), three_quarter_pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), quarter_pi, eps*200);
+      
+      result = boost::math::acosh(ct(-infinity, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -three_quarter_pi, eps*200);
+      
+      result = boost::math::acosh(ct(infinity, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -quarter_pi, eps*200);
+   }
+   
+   if(test_nan)
+   {
+      result = boost::math::acosh(ct(infinity, nan));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(-infinity, nan));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, -one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+      
+      result = boost::math::acosh(ct(nan, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::acosh(ct(-2.5f, zero));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() > 0);
+   }
+   //
+   // C99 spot checks for asinh:
+   //
+   result = boost::math::asinh(ct(zero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   result = boost::math::asinh(ct(mzero, zero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   result = boost::math::asinh(ct(zero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   result = boost::math::asinh(ct(mzero, mzero));
+   BOOST_CHECK(result.real() == 0);
+   BOOST_CHECK(result.imag() == 0);
+
+   if(test_infinity)
+   {
+      result = boost::math::asinh(ct(one, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+      
+      result = boost::math::asinh(ct(one, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-one, -infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-one, infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::asinh(ct(one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(-one, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(zero, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+
+   if(test_infinity)
+   {
+      result = boost::math::asinh(ct(infinity, one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(infinity, -one));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(-infinity, -one));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(-infinity, one));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK(result.imag() == 0);
+      
+      result = boost::math::asinh(ct(infinity, infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), quarter_pi, eps*200);
+      
+      result = boost::math::asinh(ct(infinity, -infinity));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -quarter_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-infinity, -infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), -quarter_pi, eps*200);
+      
+      result = boost::math::asinh(ct(-infinity, infinity));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK_CLOSE(result.imag(), quarter_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::asinh(ct(infinity, nan));
+      BOOST_CHECK(result.real() == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(-infinity, nan));
+      BOOST_CHECK(result.real() == -infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan, zero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == 0);
+
+      result = boost::math::asinh(ct(nan,  mzero));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK(result.imag() == 0);
+
+      result = boost::math::asinh(ct(nan, one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan,  -one));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan,  nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan, infinity));
+      BOOST_CHECK(std::fabs(result.real()) == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::asinh(ct(nan,  -infinity));
+      BOOST_CHECK(std::fabs(result.real()) == infinity);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::asinh(ct(zero, 1.5f));
+      BOOST_CHECK(result.real() > 0);
+      BOOST_CHECK(result.imag() > 0);
+   }
+   
+   //
+   // C99 special cases for atanh:
+   //
+   result = boost::math::atanh(ct(zero, zero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   result = boost::math::atanh(ct(mzero, zero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   result = boost::math::atanh(ct(zero, mzero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   result = boost::math::atanh(ct(mzero, mzero));
+   BOOST_CHECK(result.real() == zero);
+   BOOST_CHECK(result.imag() == zero);
+
+   if(test_nan)
+   {
+      result = boost::math::atanh(ct(zero, nan));
+      BOOST_CHECK(result.real() == zero);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(-zero, nan));
+      BOOST_CHECK(result.real() == zero);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+
+   if(test_infinity)
+   {
+      result = boost::math::atanh(ct(one, zero));
+      BOOST_CHECK_EQUAL(result.real(), infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(-one, zero));
+      BOOST_CHECK_EQUAL(result.real(), -infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(-one, -zero));
+      BOOST_CHECK_EQUAL(result.real(), -infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(one, -zero));
+      BOOST_CHECK_EQUAL(result.real(), infinity);
+      BOOST_CHECK_EQUAL(result.imag(), zero);
+
+      result = boost::math::atanh(ct(pi, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(pi, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-pi, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-pi, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   }
+   if(test_nan)
+   {
+      result = boost::math::atanh(ct(pi, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(-pi, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+   }
+
+   if(test_infinity)
+   {
+      result = boost::math::atanh(ct(infinity, pi));
+      BOOST_CHECK(result.real() == zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(infinity, -pi));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, -pi));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, pi));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(infinity, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(infinity, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, -infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(-infinity, infinity));
+      BOOST_CHECK_EQUAL(result.real(), zero);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+   }
+
+   if(test_nan)
+   {
+      result = boost::math::atanh(ct(infinity, nan));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(-infinity, nan));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(nan, pi));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(nan, -pi));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+      result = boost::math::atanh(ct(nan, infinity));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK_CLOSE(result.imag(), half_pi, eps*200);
+
+      result = boost::math::atanh(ct(nan, -infinity));
+      BOOST_CHECK(result.real() == 0);
+      BOOST_CHECK_CLOSE(result.imag(), -half_pi, eps*200);
+
+      result = boost::math::atanh(ct(nan, nan));
+      BOOST_CHECK((boost::math::isnan)(result.real()));
+      BOOST_CHECK((boost::math::isnan)(result.imag()));
+
+   }
+   if(boost::math::signbit(mzero))
+   {
+      result = boost::math::atanh(ct(-2.0f, mzero));
+      BOOST_CHECK(result.real() < 0);
+      BOOST_CHECK(result.imag() < 0);
+   }
+}
+
+//
+// test_boundaries:
+// This is an accuracy test, sets the real and imaginary components
+// of the input argument to various "boundary conditions" that exist
+// inside the implementation.  Then computes the result at double precision
+// and again at float precision.  The double precision result will be
+// computed using the "regular" code, where as the float precision versions
+// will calculate the result using the "exceptional value" handlers, so
+// we end up comparing the values calculated by two different methods.
+//
+const float boundaries[] = {
+   0,
+   1,
+   2,
+   (std::numeric_limits<float>::max)(),
+   (std::numeric_limits<float>::min)(),
+   std::numeric_limits<float>::epsilon(),
+   std::sqrt((std::numeric_limits<float>::max)()) / 8,
+   static_cast<float>(4) * std::sqrt((std::numeric_limits<float>::min)()),
+   0.6417F,
+   1.5F,
+   std::sqrt((std::numeric_limits<float>::max)()) / 2,
+   std::sqrt((std::numeric_limits<float>::min)()),
+   1.0F / 0.3F,
+};
+
+void do_test_boundaries(float x, float y)
+{
+   std::complex<float> r1 = boost::math::asin(std::complex<float>(x, y));
+   std::complex<double> dr = boost::math::asin(std::complex<double>(x, y));
+   std::complex<float> r2(static_cast<float>(dr.real()), static_cast<float>(dr.imag()));
+   check_complex(r2, r1, 5);
+   r1 = boost::math::acos(std::complex<float>(x, y));
+   dr = boost::math::acos(std::complex<double>(x, y));
+   r2 = std::complex<float>(std::complex<double>(dr.real(), dr.imag()));
+   check_complex(r2, r1, 5);
+   r1 = boost::math::atanh(std::complex<float>(x, y));
+   dr = boost::math::atanh(std::complex<double>(x, y));
+   r2 = std::complex<float>(std::complex<double>(dr.real(), dr.imag()));
+   check_complex(r2, r1, 5);
+}
+
+void test_boundaries(float x, float y)
+{
+   do_test_boundaries(x, y);
+   do_test_boundaries(-x, y); 
+   do_test_boundaries(-x, -y);
+   do_test_boundaries(x, -y);
+}
+
+void test_boundaries(float x)
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(x, boundaries[i]);
+      test_boundaries(x, boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(x, boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
+   }
+}
+
+void test_boundaries()
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(boundaries[i]);
+      test_boundaries(boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);//here
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   std::cout << "Running complex trig sanity checks for type float." << std::endl;
+   test_inverse_trig(float(0));
+   std::cout << "Running complex trig sanity checks for type double." << std::endl;
+   test_inverse_trig(double(0));
+   //test_inverse_trig((long double)(0));
+
+   std::cout << "Running complex trig spot checks for type float." << std::endl;
+   check_spots(float(0));
+   std::cout << "Running complex trig spot checks for type double." << std::endl;
+   check_spots(double(0));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   std::cout << "Running complex trig spot checks for type long double." << std::endl;
+   check_spots((long double)(0));
+#endif
+
+   std::cout << "Running complex trig boundary and accuracy tests." << std::endl;
+   test_boundaries();
+}
+
+
+
diff --git a/src/boost/libs/math/test/condition_number_test.cpp b/src/boost/libs/math/test/condition_number_test.cpp
new file mode 100644
index 000000000..2adb9be27
--- /dev/null
+++ b/src/boost/libs/math/test/condition_number_test.cpp
@@ -0,0 +1,122 @@
+//  (C) Copyright Nick Thompson, 2019
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE condition_number_test
+
+#include <cmath>
+#include <limits>
+#include <iostream>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/special_functions/lambert_w.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/tools/condition_numbers.hpp>
+
+using std::abs;
+using boost::math::constants::half;
+using boost::math::constants::ln_two;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::math::tools::summation_condition_number;
+using boost::math::tools::evaluation_condition_number;
+
+template<class Real>
+void test_summation_condition_number()
+{
+    Real tol = 1000*std::numeric_limits<float>::epsilon();
+    auto cond = summation_condition_number<Real>();
+    // I've checked that the condition number increases with max_n,
+    // and that the computed sum gets more accurate with increasing max_n.
+    // But the CI system would die with more terms.
+    Real max_n = 10000;
+    for (Real n = 1; n < max_n; n += 2)
+    {
+        cond += 1/n;
+        cond -= 1/(n+1);
+    }
+
+    BOOST_CHECK_CLOSE_FRACTION(cond.sum(), ln_two<Real>(), tol);
+    BOOST_TEST(cond() > 14);
+}
+
+template<class Real>
+void test_exponential_sum()
+{
+    using std::exp;
+    using std::abs;
+    Real eps = std::numeric_limits<float>::epsilon();
+    for (Real x = -20; x <= -1; x += 0.5)
+    {
+        auto cond = summation_condition_number<Real>(1);
+        size_t n = 1;
+        Real term = x;
+        while(n++ < 1000)
+        {
+            cond += term;
+            term *= (x/n);
+        }
+        BOOST_CHECK_CLOSE_FRACTION(exp(x), cond.sum(), eps*cond());
+        BOOST_CHECK_CLOSE_FRACTION(exp(2*abs(x)), cond(), eps*cond());
+    }
+}
+
+
+
+template<class Real>
+void test_evaluation_condition_number()
+{
+    using std::abs;
+    using std::log;
+    using std::sqrt;
+    using std::exp;
+    using std::sin;
+    using std::tan;
+    Real tol = sqrt(std::numeric_limits<Real>::epsilon());
+
+    auto f1 = [](auto x) { return log(x); };
+    for (Real x = 1.125; x < 8; x += 0.125)
+    {
+        Real cond = evaluation_condition_number(f1, x);
+        BOOST_CHECK_CLOSE_FRACTION(cond, 1/log(x), tol);
+    }
+
+    auto f2 = [](auto x) { return exp(x); };
+    for (Real x = 1.125; x < 8; x += 0.125)
+    {
+        Real cond = evaluation_condition_number(f2, x);
+        BOOST_CHECK_CLOSE_FRACTION(cond, x, tol);
+    }
+
+    auto f3 = [](auto x) { return sin(x); };
+    for (Real x = 1.125; x < 8; x += 0.125)
+    {
+        Real cond = evaluation_condition_number(f3, x);
+        BOOST_CHECK_CLOSE_FRACTION(cond, abs(x/tan(x)), tol);
+    }
+
+    // Test a function which right differentiable:
+    using boost::math::constants::e;
+    auto f4 = [](Real x) { return boost::math::lambert_w0(x); };
+    Real cond = evaluation_condition_number(f4, -1/e<Real>());
+    if (std::is_same_v<Real, float>)
+    {
+        BOOST_CHECK_GE(cond, 30);
+    }
+    else
+    {
+        BOOST_CHECK_GE(cond, 4900);
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(numerical_differentiation_test)
+{
+    test_summation_condition_number<float>();
+    test_summation_condition_number<cpp_bin_float_50>();
+    test_evaluation_condition_number<float>();
+    test_evaluation_condition_number<double>();
+    test_evaluation_condition_number<long double>();
+    test_evaluation_condition_number<cpp_bin_float_50>();
+    test_exponential_sum<double>();
+}
diff --git a/src/boost/libs/math/test/cubic_hermite_test.cpp b/src/boost/libs/math/test/cubic_hermite_test.cpp
new file mode 100644
index 000000000..0a23fb166
--- /dev/null
+++ b/src/boost/libs/math/test/cubic_hermite_test.cpp
@@ -0,0 +1,461 @@
+/*
+ * Copyright Nick Thompson, 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <array>
+#include <vector>
+#include <boost/math/interpolators/cubic_hermite.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/circular_buffer.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::interpolators::cubic_hermite;
+using boost::math::interpolators::cardinal_cubic_hermite;
+using boost::math::interpolators::cardinal_cubic_hermite_aos;
+
+
+template<typename Real>
+void test_constant()
+{
+    Real x0 = 0;
+    std::vector<Real> x{x0,1,2,3, 9, 22, 81};
+    std::vector<Real> y(x.size());
+    for (auto & t : y)
+    {
+        t = 7;
+    }
+
+    std::vector<Real> dydx(x.size(), Real(0));
+    auto x_copy = x;
+    auto y_copy = y;
+    auto dydx_copy = dydx;
+    auto hermite_spline = cubic_hermite(std::move(x_copy), std::move(y_copy), std::move(dydx_copy));
+
+    // Now check the boundaries:
+    Real tlo = x.front();
+    Real thi = x.back();
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(7), hermite_spline(tlo), 2);
+        CHECK_ULP_CLOSE(Real(7), hermite_spline(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), hermite_spline.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), hermite_spline.prime(thi), 2);
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+
+    boost::circular_buffer<Real> x_buf(x.size());
+    for (auto & t : x) {
+        x_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> y_buf(x.size());
+    for (auto & t : y) {
+        y_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> dydx_buf(x.size());
+    for (auto & t : dydx) {
+        dydx_buf.push_back(t);
+    }
+
+    auto circular_hermite_spline = cubic_hermite(std::move(x_buf), std::move(y_buf), std::move(dydx_buf));
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(Real(7), circular_hermite_spline(t), 2);
+        CHECK_ULP_CLOSE(Real(0), circular_hermite_spline.prime(t), 2);
+    }
+
+    circular_hermite_spline.push_back(x.back() + 1, 7, 0);
+    CHECK_ULP_CLOSE(Real(0), circular_hermite_spline.prime(x.back()+1), 2);
+
+}
+
+template<typename Real>
+void test_linear()
+{
+    std::vector<Real> x{0,1,2,3};
+    std::vector<Real> y{0,1,2,3};
+    std::vector<Real> dydx{1,1,1,1};
+
+    auto x_copy = x;
+    auto y_copy = y;
+    auto dydx_copy = dydx;
+    auto hermite_spline = cubic_hermite(std::move(x_copy), std::move(y_copy), std::move(dydx_copy));
+
+    CHECK_ULP_CLOSE(y[0], hermite_spline(x[0]), 0);
+    CHECK_ULP_CLOSE(Real(1)/Real(2), hermite_spline(Real(1)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[1], hermite_spline(x[1]), 0);
+    CHECK_ULP_CLOSE(Real(3)/Real(2), hermite_spline(Real(3)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[2], hermite_spline(x[2]), 0);
+    CHECK_ULP_CLOSE(Real(5)/Real(2), hermite_spline(Real(5)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[3], hermite_spline(x[3]), 0);
+
+    x.resize(45);
+    y.resize(45);
+    dydx.resize(45);
+    for (size_t i = 0; i < x.size(); ++i) {
+        x[i] = i;
+        y[i] = i;
+        dydx[i] = 1;
+    }
+
+    x_copy = x;
+    y_copy = y;
+    dydx_copy = dydx;
+    hermite_spline = cubic_hermite(std::move(x_copy), std::move(y_copy), std::move(dydx_copy));
+    for (Real t = 0; t < x.back(); t += 0.5) {
+        CHECK_ULP_CLOSE(t, hermite_spline(t), 0);
+        CHECK_ULP_CLOSE(Real(1), hermite_spline.prime(t), 0);
+    }
+
+    boost::circular_buffer<Real> x_buf(x.size());
+    for (auto & t : x) {
+        x_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> y_buf(x.size());
+    for (auto & t : y) {
+        y_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> dydx_buf(x.size());
+    for (auto & t : dydx) {
+        dydx_buf.push_back(t);
+    }
+
+    auto circular_hermite_spline = cubic_hermite(std::move(x_buf), std::move(y_buf), std::move(dydx_buf));
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(t, circular_hermite_spline(t), 2);
+        CHECK_ULP_CLOSE(Real(1), circular_hermite_spline.prime(t), 2);
+    }
+
+    circular_hermite_spline.push_back(x.back() + 1, y.back()+1, 1);
+
+    CHECK_ULP_CLOSE(Real(y.back() + 1), circular_hermite_spline(Real(x.back()+1)), 2);
+    CHECK_ULP_CLOSE(Real(1), circular_hermite_spline.prime(Real(x.back()+1)), 2);
+
+}
+
+template<typename Real>
+void test_quadratic()
+{
+    std::vector<Real> x(50);
+    std::default_random_engine rd;
+    std::uniform_real_distribution<Real> dis(0.1,1);
+    Real x0 = dis(rd);
+    x[0] = x0;
+    for (size_t i = 1; i < x.size(); ++i) {
+        x[i] = x[i-1] + dis(rd);
+    }
+    Real xmax = x.back();
+
+    std::vector<Real> y(x.size());
+    std::vector<Real> dydx(x.size());
+    for (size_t i = 0; i < x.size(); ++i) {
+        y[i] = x[i]*x[i]/2;
+        dydx[i] = x[i];
+    }
+
+    auto s = cubic_hermite(std::move(x), std::move(y), std::move(dydx));
+    for (Real t = x0; t <= xmax; t+= 0.0125)
+    {
+        CHECK_ULP_CLOSE(t*t/2, s(t), 5);
+        CHECK_ULP_CLOSE(t, s.prime(t), 65);
+    }
+}
+
+template<typename Real>
+void test_interpolation_condition()
+{
+    for (size_t n = 4; n < 50; ++n) {
+        std::vector<Real> x(n);
+        std::vector<Real> y(n);
+        std::vector<Real> dydx(n);
+        std::default_random_engine rd;
+        std::uniform_real_distribution<Real> dis(0,1);
+        Real x0 = dis(rd);
+        x[0] = x0;
+        y[0] = dis(rd);
+        for (size_t i = 1; i < n; ++i) {
+            x[i] = x[i-1] + dis(rd);
+            y[i] = dis(rd);
+            dydx[i] = dis(rd);
+        }
+
+        auto x_copy = x;
+        auto y_copy = y;
+        auto dydx_copy = dydx;
+        auto s = cubic_hermite(std::move(x_copy), std::move(y_copy), std::move(dydx_copy));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size(); ++i) {
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+            CHECK_ULP_CLOSE(dydx[i], s.prime(x[i]), 2);
+        }
+    }
+}
+
+template<typename Real>
+void test_cardinal_constant()
+{
+    Real x0 = 0;
+    Real dx = 2;
+    std::vector<Real> y(25);
+    for (auto & t : y) {
+        t = 7;
+    }
+
+    std::vector<Real> dydx(y.size(), Real(0));
+
+    auto hermite_spline = cardinal_cubic_hermite(std::move(y), std::move(dydx), x0, dx);
+
+    for (Real t = x0; t <= x0 + 24*dx; t += 0.25) {
+        CHECK_ULP_CLOSE(Real(7), hermite_spline(t), 2);
+        CHECK_ULP_CLOSE(Real(0), hermite_spline.prime(t), 2);
+    }
+
+    // Array of structs:
+
+    std::vector<std::array<Real, 2>> data(25);
+    for (auto & t : data) {
+        t[0] = 7;
+        t[1] = 0;
+    }
+    auto hermite_spline_aos = cardinal_cubic_hermite_aos(std::move(data), x0, dx);
+
+    for (Real t = x0; t <= x0 + 24*dx; t += 0.25) {
+        if (!CHECK_ULP_CLOSE(Real(7), hermite_spline_aos(t), 2)) {
+            std::cerr << "  Wrong evaluation at t = " << t << "\n";
+        }
+        if (!CHECK_ULP_CLOSE(Real(0), hermite_spline_aos.prime(t), 2)) {
+            std::cerr << "  Wrong evaluation at t = " << t << "\n";
+        }
+    }
+
+    // Now check the boundaries:
+    Real tlo = x0;
+    Real thi = x0 + (25-1)*dx;
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(7), hermite_spline(tlo), 2);
+        CHECK_ULP_CLOSE(Real(7), hermite_spline(thi), 2);
+        CHECK_ULP_CLOSE(Real(7), hermite_spline_aos(tlo), 2);
+        CHECK_ULP_CLOSE(Real(7), hermite_spline_aos(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), hermite_spline.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), hermite_spline.prime(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), hermite_spline_aos.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), hermite_spline_aos.prime(thi), 2);
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+
+}
+
+
+template<typename Real>
+void test_cardinal_linear()
+{
+    Real x0 = 0;
+    Real dx = 1;
+    std::vector<Real> y{0,1,2,3};
+    std::vector<Real> dydx{1,1,1,1};
+    auto y_copy = y;
+    auto dydx_copy = dydx;
+    auto hermite_spline = cardinal_cubic_hermite(std::move(y_copy), std::move(dydx_copy), x0, dx);
+
+    CHECK_ULP_CLOSE(y[0], hermite_spline(0), 0);
+    CHECK_ULP_CLOSE(Real(1)/Real(2), hermite_spline(Real(1)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[1], hermite_spline(1), 0);
+    CHECK_ULP_CLOSE(Real(3)/Real(2), hermite_spline(Real(3)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[2], hermite_spline(2), 0);
+    CHECK_ULP_CLOSE(Real(5)/Real(2), hermite_spline(Real(5)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[3], hermite_spline(3), 0);
+
+
+    y.resize(45);
+    dydx.resize(45);
+    for (size_t i = 0; i < y.size(); ++i) {
+        y[i] = i;
+        dydx[i] = 1;
+    }
+
+    hermite_spline = cardinal_cubic_hermite(std::move(y), std::move(dydx), x0, dx);
+    for (Real t = 0; t < 44; t += 0.5) {
+        CHECK_ULP_CLOSE(t, hermite_spline(t), 0);
+        CHECK_ULP_CLOSE(Real(1), hermite_spline.prime(t), 0);
+    }
+
+    std::vector<std::array<Real, 2>> data(45);
+    for (size_t i = 0; i < data.size(); ++i) {
+        data[i][0] = i;
+        data[i][1] = 1;
+    }
+
+    auto hermite_spline_aos = cardinal_cubic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = 0; t < 44; t += 0.5) {
+        CHECK_ULP_CLOSE(t, hermite_spline_aos(t), 0);
+        CHECK_ULP_CLOSE(Real(1), hermite_spline_aos.prime(t), 0);
+    }
+
+    Real tlo = x0;
+    Real thi = x0 + (45-1)*dx;
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(tlo), hermite_spline(tlo), 2);
+        CHECK_ULP_CLOSE(Real(thi), hermite_spline(thi), 2);
+        CHECK_ULP_CLOSE(Real(1), hermite_spline.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(1), hermite_spline.prime(thi), 2);
+        CHECK_ULP_CLOSE(Real(tlo), hermite_spline_aos(tlo), 2);
+        CHECK_ULP_CLOSE(Real(thi), hermite_spline_aos(thi), 2);
+        CHECK_ULP_CLOSE(Real(1), hermite_spline_aos.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(1), hermite_spline_aos.prime(thi), 2);
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+
+
+}
+
+
+template<typename Real>
+void test_cardinal_quadratic()
+{
+    Real x0 = -1;
+    Real dx = Real(1)/Real(256);
+
+    std::vector<Real> y(50);
+    std::vector<Real> dydx(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        Real x = x0 + i*dx;
+        y[i] = x*x/2;
+        dydx[i] = x;
+    }
+
+    auto s = cardinal_cubic_hermite(std::move(y), std::move(dydx), x0, dx);
+    for (Real t = x0; t <= x0 + 49*dx; t+= 0.0125)
+    {
+        CHECK_ULP_CLOSE(t*t/2, s(t), 12);
+        CHECK_ULP_CLOSE(t, s.prime(t), 70);
+    }
+
+    std::vector<std::array<Real, 2>> data(50);
+    for (size_t i = 0; i < data.size(); ++i) {
+        Real x = x0 + i*dx;
+        data[i][0] = x*x/2;
+        data[i][1] = x;
+    }
+
+
+    auto saos = cardinal_cubic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = x0; t <= x0 + 49*dx; t+= 0.0125)
+    {
+        CHECK_ULP_CLOSE(t*t/2, saos(t), 12);
+        CHECK_ULP_CLOSE(t, saos.prime(t), 70);
+    }
+
+    auto [tlo, thi] = s.domain();
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(tlo*tlo/2), s(tlo), 3);
+        CHECK_ULP_CLOSE(Real(thi*thi/2), s(thi), 3);
+        CHECK_ULP_CLOSE(Real(tlo), s.prime(tlo), 3);
+        CHECK_ULP_CLOSE(Real(thi), s.prime(thi), 3);
+        CHECK_ULP_CLOSE(Real(tlo*tlo/2), saos(tlo), 3);
+        CHECK_ULP_CLOSE(Real(thi*thi/2), saos(thi), 3);
+        CHECK_ULP_CLOSE(Real(tlo), saos.prime(tlo), 3);
+        CHECK_ULP_CLOSE(Real(thi), saos.prime(thi), 3);
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+}
+
+
+template<typename Real>
+void test_cardinal_interpolation_condition()
+{
+    for (size_t n = 4; n < 50; ++n) {
+        std::vector<Real> y(n);
+        std::vector<Real> dydx(n);
+        std::default_random_engine rd;
+        std::uniform_real_distribution<Real> dis(0.1,1);
+        Real x0 = Real(2);
+        Real dx = Real(1)/Real(128);
+        for (size_t i = 0; i < n; ++i) {
+            y[i] = dis(rd);
+            dydx[i] = dis(rd);
+        }
+
+        auto y_copy = y;
+        auto dydx_copy = dydx;
+        auto s = cardinal_cubic_hermite(std::move(y_copy), std::move(dydx_copy), x0, dx);
+        for (size_t i = 0; i < y.size(); ++i) {
+            CHECK_ULP_CLOSE(y[i], s(x0 + i*dx), 2);
+            CHECK_ULP_CLOSE(dydx[i], s.prime(x0 + i*dx), 2);
+        }
+    }
+}
+
+
+
+int main()
+{
+    test_constant<float>();
+    test_linear<float>();
+    test_quadratic<float>();
+    test_interpolation_condition<float>();
+    test_cardinal_constant<float>();
+    test_cardinal_linear<float>();
+    test_cardinal_quadratic<float>();
+    test_cardinal_interpolation_condition<float>();
+
+    test_constant<double>();
+    test_linear<double>();
+    test_quadratic<double>();
+    test_interpolation_condition<double>();
+    test_cardinal_constant<double>();
+    test_cardinal_linear<double>();
+    test_cardinal_quadratic<double>();
+    test_cardinal_interpolation_condition<double>();
+
+    test_constant<long double>();
+    test_linear<long double>();
+    test_quadratic<long double>();
+    test_interpolation_condition<long double>();
+    test_cardinal_constant<long double>();
+    test_cardinal_linear<long double>();
+    test_cardinal_quadratic<long double>();
+    test_cardinal_interpolation_condition<long double>();
+
+
+#ifdef BOOST_HAS_FLOAT128
+    test_constant<float128>();
+    test_linear<float128>();
+    test_cardinal_constant<float128>();
+    test_cardinal_linear<float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/daubechies_scaling_test.cpp b/src/boost/libs/math/test/daubechies_scaling_test.cpp
new file mode 100644
index 000000000..febb77d50
--- /dev/null
+++ b/src/boost/libs/math/test/daubechies_scaling_test.cpp
@@ -0,0 +1,538 @@
+/*
+ * Copyright Nick Thompson, John Maddock 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <iomanip>
+#include <iostream>
+#include <random>
+#include <boost/core/demangle.hpp>
+#include <boost/hana/for_each.hpp>
+#include <boost/hana/ext/std/integer_sequence.hpp>
+#include <boost/math/tools/condition_numbers.hpp>
+#include <boost/math/differentiation/finite_difference.hpp>
+#include <boost/math/special_functions/daubechies_scaling.hpp>
+#include <boost/math/filters/daubechies.hpp>
+#include <boost/math/special_functions/detail/daubechies_scaling_integer_grid.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/quadrature/trapezoidal.hpp>
+#include <boost/math/special_functions/next.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::constants::pi;
+using boost::math::constants::root_two;
+
+// Mallat, Theorem 7.4, characterization number 3:
+// A conjugate mirror filter has p vanishing moments iff h^{(n)}(pi) = 0 for 0 <= n < p.
+template<class Real, unsigned p>
+void test_daubechies_filters()
+{
+    std::cout << "Testing Daubechies filters with " << p << " vanishing moments on type " << boost::core::demangle(typeid(Real).name()) << "\n";
+    Real tol = 3*std::numeric_limits<Real>::epsilon();
+    using boost::math::filters::daubechies_scaling_filter;
+    using boost::math::filters::daubechies_wavelet_filter;
+
+    auto h = daubechies_scaling_filter<Real, p>();
+    auto g = daubechies_wavelet_filter<Real, p>();
+
+    auto inner = std::inner_product(h.begin(), h.end(), g.begin(), Real(0));
+    CHECK_MOLLIFIED_CLOSE(0, inner, tol);
+
+    // This is implied by Fourier transform of the two-scale dilatation equation;
+    // If this doesn't hold, the infinite product for m_0 diverges.
+    Real H0 = 0;
+    for (size_t j = 0; j < h.size(); ++j)
+    {
+        H0 += h[j];
+    }
+    CHECK_MOLLIFIED_CLOSE(root_two<Real>(), H0, tol);
+
+    // This is implied if we choose the scaling function to be an orthonormal basis of V0.
+    Real scaling = 0;
+    for (size_t j = 0; j < h.size(); ++j) {
+      scaling += h[j]*h[j];
+    }
+    CHECK_MOLLIFIED_CLOSE(1, scaling, tol);
+
+    using std::pow;
+    // Daubechies wavelet of order p has p vanishing moments.
+    // Unfortunately, the condition number of the sum is infinite.
+    // Hence we must scale the tolerance by the summation condition number to ensure that we don't get spurious test failures.
+    for (size_t k = 1; k < p && k < 9; ++k)
+    {
+        Real hk = 0;
+        Real abs_hk = 0;
+        for (size_t n = 0; n < h.size(); ++n)
+        {
+            Real t = static_cast<Real>(pow(n, k)*h[n]);
+            if (n & 1)
+            {
+                hk -= t;
+            }
+            else
+            {
+                hk += t;
+            }
+            abs_hk += abs(t);
+        }
+        // Multiply the tolerance by the condition number:
+        Real cond = abs(hk) > 0 ? abs_hk/abs(hk) : 1/std::numeric_limits<Real>::epsilon();
+        if (!CHECK_MOLLIFIED_CLOSE(0, hk, 2*cond*tol))
+        {
+            std::cerr << "  The " << k << "th moment of the p = " << p << " filter did not vanish\n";
+            std::cerr << "  Condition number = " << abs_hk/abs(hk) << "\n";
+        }
+    }
+
+    // For the scaling function to be orthonormal to its integer translates,
+    // sum h_k h_{k-2l} = \delta_{0,l}.
+    // See Theoretical Numerical Analysis, Atkinson, Exercise 4.5.2.
+    // This is the last condition we could test to ensure that the filters are correct,
+    // but I'm not gonna bother because it's painful!
+}
+
+// Test that the filters agree with Daubechies, Ten Lenctures on Wavelets, Table 6.1:
+void test_agreement_with_ten_lectures()
+{
+    std::cout << "Testing agreement with Ten Lectures\n";
+    std::array<double, 4> h2 = {0.4829629131445341, 0.8365163037378077, 0.2241438680420134, -0.1294095225512603};
+    auto h2_ = boost::math::filters::daubechies_scaling_filter<double, 2>();
+    for (size_t i = 0; i < h2.size(); ++i)
+    {
+        CHECK_ULP_CLOSE(h2[i], h2_[i], 3);
+    }
+
+    std::array<double, 6> h3 = {0.3326705529500825, 0.8068915093110924, 0.4598775021184914, -0.1350110200102546, -0.0854412738820267, 0.0352262918857095};
+    auto h3_ = boost::math::filters::daubechies_scaling_filter<double, 3>();
+    for (size_t i = 0; i < h3.size(); ++i)
+    {
+        CHECK_ULP_CLOSE(h3[i], h3_[i], 5);
+    }
+
+    std::array<double, 8> h4 = {0.2303778133088964, 0.7148465705529154, 0.6308807679298587, -0.0279837694168599, -0.1870348117190931, 0.0308413818355607, 0.0328830116668852 , -0.010597401785069};
+    auto h4_ = boost::math::filters::daubechies_scaling_filter<double, 4>();
+    for (size_t i = 0; i < h4.size(); ++i)
+    {
+        if(!CHECK_ULP_CLOSE(h4[i], h4_[i], 18))
+        {
+            std::cerr << "  Index " << i << " incorrect.\n";
+        }
+    }
+
+}
+
+template<class Real1, class Real2, size_t p>
+void test_filter_ulp_distance()
+{
+    std::cout << "Testing filters ULP distance between types "
+              << boost::core::demangle(typeid(Real1).name()) << "and"
+              << boost::core::demangle(typeid(Real2).name()) << "\n";
+    using boost::math::filters::daubechies_scaling_filter;
+    auto h1 = daubechies_scaling_filter<Real1, p>();
+    auto h2 = daubechies_scaling_filter<Real2, p>();
+
+    for (size_t i = 0; i < h1.size(); ++i)
+    {
+        if(!CHECK_ULP_CLOSE(h1[i], h2[i], 0))
+        {
+            std::cerr << "  Index " << i << " at order " << p << " failed tolerance check\n";
+        }
+    }
+}
+
+
+template<class Real, unsigned p, unsigned order>
+void test_integer_grid()
+{
+    std::cout << "Testing integer grid with " << p << " vanishing moments and " << order << " derivative on type " << boost::core::demangle(typeid(Real).name()) << "\n";
+    using boost::math::detail::daubechies_scaling_integer_grid;
+    using boost::math::tools::summation_condition_number;
+    Real unit_roundoff = std::numeric_limits<Real>::epsilon()/2;
+    auto grid = daubechies_scaling_integer_grid<Real, p, order>();
+
+    if constexpr (order == 0)
+    {
+        auto cond = summation_condition_number<Real>(0);
+        for (auto & x : grid)
+        {
+            cond += x;
+        }
+        CHECK_MOLLIFIED_CLOSE(1, cond.sum(), 6*cond.l1_norm()*unit_roundoff);
+    }
+
+    if constexpr (order == 1)
+    {
+        auto cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i) {
+            cond += i*grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(Real(-1), cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+
+        // Differentiate \sum_{k} \phi(x-k) = 1 to get this:
+        cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i) {
+            cond += grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(Real(0), cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+    }
+
+    if constexpr (order == 2)
+    {
+        auto cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i)
+        {
+            cond += i*i*grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(Real(2), cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+
+        // Differentiate \sum_{k} \phi(x-k) = 1 to get this:
+        cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i)
+        {
+            cond += grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(Real(0), cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+    }
+
+    if constexpr (order == 3)
+    {
+        auto cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i)
+        {
+            cond += i*i*i*grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(Real(-6), cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+
+        // Differentiate \sum_{k} \phi(x-k) = 1 to get this:
+        cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i)
+        {
+            cond += grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(Real(0), cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+    }
+
+    if constexpr (order == 4)
+    {
+        auto cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i)
+        {
+            cond += i*i*i*i*grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(24, cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+
+        // Differentiate \sum_{k} \phi(x-k) = 1 to get this:
+        cond = summation_condition_number<Real>(0);
+        for (size_t i = 0; i < grid.size(); ++i)
+        {
+            cond += grid[i];
+        }
+        CHECK_MOLLIFIED_CLOSE(Real(0), cond.sum(), 2*cond.l1_norm()*unit_roundoff);
+    }
+}
+
+template<class Real>
+void test_dyadic_grid()
+{
+    std::cout << "Testing dyadic grid on type " << boost::core::demangle(typeid(Real).name()) << "\n";
+    auto f = [&](auto i)
+    {
+        auto phijk = boost::math::daubechies_scaling_dyadic_grid<Real, i+2, 0>(0);
+        auto phik = boost::math::detail::daubechies_scaling_integer_grid<Real, i+2, 0>();
+        assert(phik.size() == phijk.size());
+
+        for (size_t k = 0; k < phik.size(); ++k)
+        {
+            CHECK_ULP_CLOSE(phik[k], phijk[k], 0);
+        }
+
+        for (uint64_t j = 1; j < 10; ++j)
+        {
+            phijk = boost::math::daubechies_scaling_dyadic_grid<Real, i+2, 0>(j);
+            phik = boost::math::detail::daubechies_scaling_integer_grid<Real, i+2, 0>();
+            for (uint64_t l = 0; l < static_cast<uint64_t>(phik.size()); ++l)
+            {
+                CHECK_ULP_CLOSE(phik[l], phijk[l*(uint64_t(1)<<j)], 0);
+            }
+
+            // This test is from Daubechies, Ten Lectures on Wavelets, Ch 7 "More About Compactly Supported Wavelets",
+            // page 245: \forall y \in \mathbb{R}, \sum_{n \in \mathbb{Z}} \phi(y+n) = 1
+            for (size_t k = 1; k < j; ++k)
+            {
+                auto cond = boost::math::tools::summation_condition_number<Real>(0);
+                for (uint64_t l = 0; l < static_cast<uint64_t>(phik.size()); ++l)
+                {
+                    uint64_t idx = l*(uint64_t(1)<<j) + k;
+                    if (idx < phijk.size())
+                    {
+                        cond += phijk[idx];
+                    }
+                }
+                CHECK_MOLLIFIED_CLOSE(Real(1), cond.sum(), 10*cond()*std::numeric_limits<Real>::epsilon());
+            }
+        }
+    };
+
+    boost::hana::for_each(std::make_index_sequence<18>(), f);
+}
+
+
+// Taken from Lin, 2005, doi:10.1016/j.amc.2004.12.038,
+// "Direct algorithm for computation of derivatives of the Daubechies basis functions"
+void test_first_derivative()
+{
+    auto phi1_3 = boost::math::detail::daubechies_scaling_integer_grid<long double, 3, 1>();
+    std::array<long double, 6> lin_3{0.0L, 1.638452340884085725014976L, -2.232758190463137395017742L,
+                                     0.5501593582740176149905562L, 0.04414649130503405501220997L, 0.0L};
+    for (size_t i = 0; i < lin_3.size(); ++i)
+    {
+        if(!CHECK_ULP_CLOSE(lin_3[i], phi1_3[i], 0))
+        {
+            std::cerr << "  Index " << i << " is incorrect\n";
+        }
+    }
+
+    auto phi1_4 = boost::math::detail::daubechies_scaling_integer_grid<long double, 4, 1>();
+    std::array<long double, 8> lin_4 = {0.0L, 1.776072007522184640093776L, -2.785349397229543142492785L, 1.192452536632278174347632L,
+                                       -0.1313745151846729587935189L, -0.05357102822023923595359996L,0.001770396479992522798495351L, 0.0L};
+
+    for (size_t i = 0; i < lin_4.size(); ++i)
+    {
+        if(!CHECK_ULP_CLOSE(lin_4[i], phi1_4[i], 0))
+        {
+            std::cerr << "  Index " << i << " is incorrect\n";
+        }
+    }
+
+    std::array<long double, 10> lin_5 = {0.0L, 1.558326313047001366564379L, -2.436012783189551921436896L, 1.235905129801454293947039L, -0.3674377136938866359947561L,
+                                        -0.02178035117564654658884556L,0.03234719350814368885815854L,-0.001335619912770701035229331L,-0.00001216838474354431384970525L,0.0L};
+    auto phi1_5 = boost::math::detail::daubechies_scaling_integer_grid<long double, 5, 1>();
+    for (size_t i = 0; i < lin_5.size(); ++i)
+    {
+        if(!CHECK_ULP_CLOSE(lin_5[i], phi1_5[i], 0))
+        {
+            std::cerr << "  Index " << i << " is incorrect\n";
+        }
+    }
+}
+
+template<typename Real, int p>
+void test_quadratures()
+{
+    std::cout << "Testing " << p << " vanishing moment scaling function quadratures on type " << boost::core::demangle(typeid(Real).name()) << "\n";
+    using boost::math::quadrature::trapezoidal;
+    if constexpr (p == 2)
+    {
+        // 2phi is truly bizarre, because two successive trapezoidal estimates are always bitwise equal,
+        // whereas the third is way different. I don' t think that's a reasonable thing to optimize for,
+        // so one-off it is.
+        Real h = Real(1)/Real(256);
+        auto phi = boost::math::daubechies_scaling<Real, p>();
+        std::cout << "Scaling functor size is " << phi.bytes() << " bytes" << std::endl;
+        Real t = 0;
+        Real Q = 0;
+        while (t < 3) {
+            Q += phi(t);
+            t += h;
+        }
+        Q *= h;
+        CHECK_ULP_CLOSE(Real(1), Q, 32);
+
+        auto [a, b] = phi.support();
+        // Now hit the boundary. Much can go wrong here; this just tests for segfaults:
+        int samples = 500;
+        Real xlo = a;
+        Real xhi = b;
+        for (int i = 0; i < samples; ++i)
+        {
+            CHECK_ULP_CLOSE(Real(0), phi(xlo), 0);
+            CHECK_ULP_CLOSE(Real(0), phi(xhi), 0);
+            xlo = std::nextafter(xlo, std::numeric_limits<Real>::lowest());
+            xhi = std::nextafter(xhi, std::numeric_limits<Real>::max());
+        }
+
+        xlo = a;
+        xhi = b;
+        for (int i = 0; i < samples; ++i) {
+            assert(abs(phi(xlo)) <= 5);
+            assert(abs(phi(xhi)) <= 5);
+            xlo = std::nextafter(xlo, std::numeric_limits<Real>::max());
+            xhi = std::nextafter(xhi, std::numeric_limits<Real>::lowest());
+        }
+
+        return;
+    }
+    else if constexpr (p > 2)
+    {
+        auto phi = boost::math::daubechies_scaling<Real, p>();
+        std::cout << "Scaling functor size is " << phi.bytes() << " bytes" << std::endl;
+
+        Real tol = std::numeric_limits<Real>::epsilon();
+        Real error_estimate = std::numeric_limits<Real>::quiet_NaN();
+        Real L1 = std::numeric_limits<Real>::quiet_NaN();
+        auto [a, b] = phi.support();
+        Real Q = trapezoidal(phi, a, b, tol, 15, &error_estimate, &L1);
+        if (!CHECK_MOLLIFIED_CLOSE(Real(1), Q, Real(0.0001)))
+        {
+            std::cerr << "  Quadrature of " << p << " vanishing moment scaling function is not equal 1.\n";
+            std::cerr << "  Error estimate is " << error_estimate << ", L1 norm is " << L1 << "\n";
+        }
+
+        auto phi_sq = [phi](Real x) { Real t = phi(x); return t*t; };
+        Q = trapezoidal(phi, a, b, tol, 15, &error_estimate, &L1);
+        if (!CHECK_MOLLIFIED_CLOSE(Real(1), Q, 20*std::sqrt(std::numeric_limits<Real>::epsilon())/(p*p)))
+        {
+            std::cerr << "  L2 norm of " << p << " vanishing moment scaling function is not equal 1.\n";
+            std::cerr << "  Error estimate is " << error_estimate << ", L1 norm is " << L1 << "\n";
+        }
+
+        std::random_device rd;
+        Real t = static_cast<Real>(rd())/static_cast<Real>(rd.max());
+        Real S = phi(t);
+        Real dS = phi.prime(t);
+        while (t < b)
+        {
+            t += 1;
+            S += phi(t);
+            dS += phi.prime(t);
+        }
+
+        if(!CHECK_ULP_CLOSE(Real(1), S, 64))
+        {
+            std::cerr << "  Normalizing sum for " << p << " vanishing moment scaling function is incorrect.\n";
+        }
+
+        // The p = 3, 4 convergence rate is very slow, making this produce false positives:
+        if constexpr(p > 4)
+        {
+            if(!CHECK_MOLLIFIED_CLOSE(Real(0), dS, 100*std::sqrt(std::numeric_limits<Real>::epsilon())))
+            {
+                std::cerr << "  Derivative of normalizing sum for " << p << " vanishing moment scaling function doesn't vanish.\n";
+            }
+        }
+
+        // Test boundary for segfaults:
+        int samples = 500;
+        Real xlo = a;
+        Real xhi = b;
+        for (int i = 0; i < samples; ++i)
+        {
+            CHECK_ULP_CLOSE(Real(0), phi(xlo), 0);
+            CHECK_ULP_CLOSE(Real(0), phi(xhi), 0);
+            if constexpr (p > 2) {
+                assert(abs(phi.prime(xlo)) <= 5);
+                assert(abs(phi.prime(xhi)) <= 5);
+                if constexpr (p > 5) {
+                    assert(abs(phi.double_prime(xlo)) <= 5);
+                    assert(abs(phi.double_prime(xhi)) <= 5);
+                }
+            }
+            xlo = std::nextafter(xlo, std::numeric_limits<Real>::lowest());
+            xhi = std::nextafter(xhi, std::numeric_limits<Real>::max());
+        }
+
+        xlo = a;
+        xhi = b;
+        for (int i = 0; i < samples; ++i) {
+            assert(abs(phi(xlo)) <= 5);
+            assert(abs(phi(xhi)) <= 5);
+            xlo = std::nextafter(xlo, std::numeric_limits<Real>::max());
+            xhi = std::nextafter(xhi, std::numeric_limits<Real>::lowest());
+        }
+    }
+}
+
+int main()
+{
+    boost::hana::for_each(std::make_index_sequence<18>(), [&](auto i){
+      test_quadratures<float, i+2>();
+      test_quadratures<double, i+2>();
+    });
+
+    test_agreement_with_ten_lectures();
+
+    boost::hana::for_each(std::make_index_sequence<19>(), [&](auto i){
+      test_daubechies_filters<float, i+1>();
+      test_daubechies_filters<double, i+1>();
+      test_daubechies_filters<long double, i+1>();
+    });
+
+    test_first_derivative();
+
+    // All scaling functions have a first derivative.
+    boost::hana::for_each(std::make_index_sequence<18>(), [&](auto idx){
+        test_integer_grid<float, idx+2, 0>();
+        test_integer_grid<float, idx+2, 1>();
+        test_integer_grid<double, idx+2, 0>();
+        test_integer_grid<double, idx+2, 1>();
+        test_integer_grid<long double, idx+2, 0>();
+        test_integer_grid<long double, idx+2, 1>();
+        #ifdef BOOST_HAS_FLOAT128
+        test_integer_grid<float128, idx+2, 0>();
+        test_integer_grid<float128, idx+2, 1>();
+        #endif
+    });
+
+    // 4-tap (2 vanishing moment) scaling function does not have a second derivative;
+    // all other scaling functions do.
+    boost::hana::for_each(std::make_index_sequence<17>(), [&](auto idx){
+        test_integer_grid<float, idx+3, 2>();
+        test_integer_grid<double, idx+3, 2>();
+        test_integer_grid<long double, idx+3, 2>();
+        #ifdef BOOST_HAS_FLOAT128
+        test_integer_grid<boost::multiprecision::float128, idx+3, 2>();
+        #endif
+    });
+
+    // 8-tap filter (4 vanishing moments) is the first to have a third derivative.
+    boost::hana::for_each(std::make_index_sequence<16>(), [&](auto idx){
+        test_integer_grid<float, idx+4, 3>();
+        test_integer_grid<double, idx+4, 3>();
+        test_integer_grid<long double, idx+4, 3>();
+        #ifdef BOOST_HAS_FLOAT128
+        test_integer_grid<boost::multiprecision::float128, idx+4, 3>();
+        #endif
+    });
+
+    // 10-tap filter (5 vanishing moments) is the first to have a fourth derivative.
+    boost::hana::for_each(std::make_index_sequence<15>(), [&](auto idx){
+        test_integer_grid<float, idx+5, 4>();
+        test_integer_grid<double, idx+5, 4>();
+        test_integer_grid<long double, idx+5, 4>();
+        #ifdef BOOST_HAS_FLOAT128
+        test_integer_grid<boost::multiprecision::float128, idx+5, 4>();
+        #endif
+    });
+
+    test_dyadic_grid<float>();
+    test_dyadic_grid<double>();
+    test_dyadic_grid<long double>();
+    #ifdef BOOST_HAS_FLOAT128
+    test_dyadic_grid<float128>();
+    #endif
+
+
+    #ifdef BOOST_HAS_FLOAT128
+    boost::hana::for_each(std::make_index_sequence<19>(), [&](auto i){
+        test_filter_ulp_distance<float128, long double, i+1>();
+        test_filter_ulp_distance<float128, double, i+1>();
+        test_filter_ulp_distance<float128, float, i+1>();
+    });
+
+    boost::hana::for_each(std::make_index_sequence<19>(), [&](auto i){
+        test_daubechies_filters<float128, i+1>();
+    });
+    #endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/daubechies_wavelet_test.cpp b/src/boost/libs/math/test/daubechies_wavelet_test.cpp
new file mode 100644
index 000000000..eb92c271c
--- /dev/null
+++ b/src/boost/libs/math/test/daubechies_wavelet_test.cpp
@@ -0,0 +1,130 @@
+/*
+ * Copyright Nick Thompson, 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <iomanip>
+#include <iostream>
+#include <random>
+#include <cmath>
+#include <boost/core/demangle.hpp>
+#include <boost/hana/for_each.hpp>
+#include <boost/hana/ext/std/integer_sequence.hpp>
+#include <boost/math/tools/condition_numbers.hpp>
+#include <boost/math/special_functions/daubechies_wavelet.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/quadrature/trapezoidal.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::constants::pi;
+using boost::math::constants::root_two;
+
+template<typename Real>
+void test_exact_value()
+{
+    // The global phase of the wavelet is not constrained by anything other than convention.
+    // Make sure that our conventions match the rest of the world:
+    auto psi = boost::math::daubechies_wavelet<Real, 2>(2);
+    Real computed = psi(1);
+    Real expected = -1.366025403784439;
+    CHECK_MOLLIFIED_CLOSE(expected, computed, 0.0001);
+}
+
+template<typename Real, int p>
+void test_quadratures()
+{
+    std::cout << "Testing quadratures of " << p << " vanishing moment Daubechies wavelet on type " << boost::core::demangle(typeid(Real).name()) << "\n";
+    using boost::math::quadrature::trapezoidal;
+    auto psi = boost::math::daubechies_wavelet<Real, p>();
+    std::cout << "Wavelet functor size is " << psi.bytes() << " bytes" << std::endl;
+        
+    Real tol = std::numeric_limits<Real>::epsilon();
+    Real error_estimate = std::numeric_limits<Real>::quiet_NaN();
+    Real L1 = std::numeric_limits<Real>::quiet_NaN();
+    auto [a, b] = psi.support();
+    CHECK_ULP_CLOSE(Real(-p+1), a, 0);
+    CHECK_ULP_CLOSE(Real(p), b, 0);
+    // A wavelet is a function of zero average; ensure the quadrature over its support is zero.
+    Real Q = trapezoidal(psi, a, b, tol, 15, &error_estimate, &L1);
+    if (!CHECK_MOLLIFIED_CLOSE(Real(0), Q, Real(0.0001)))
+    {
+        std::cerr << "  Quadrature of " << p << " vanishing moment wavelet does not vanish.\n";
+        std::cerr << "  Error estimate: " << error_estimate << ", L1 norm: " << L1 << "\n";
+    }
+    auto psi_sq = [psi](Real x) {
+        Real t = psi(x);
+        return t*t;
+    };
+    Q = trapezoidal(psi_sq, a, b, tol, 15, &error_estimate, &L1);
+    Real quad_tol = 2000*std::sqrt(std::numeric_limits<Real>::epsilon())/(p*p*p);
+    if (!CHECK_MOLLIFIED_CLOSE(Real(1), Q, quad_tol))
+    {
+        std::cerr << "  L2 norm of " << p << " vanishing moment wavelet does not vanish.\n";
+        std::cerr << "  Error estimate: " << error_estimate << ", L1 norm: " << L1 << "\n";
+    }
+    // psi is orthogonal to its integer translates: \int \psi(x-k) \psi(x) \, \mathrm{d}x = 0
+    // g_n = 1/sqrt(2) <psi(t/2), phi(t-n)> (Mallat, 7.55)
+
+    // Now hit the boundary. Much can go wrong here; this just tests for segfaults:
+    int samples = 500;
+    Real xlo = a;
+    Real xhi = b;
+    for (int i = 0; i < samples; ++i)
+    {
+        CHECK_ULP_CLOSE(Real(0), psi(xlo), 0);
+        CHECK_ULP_CLOSE(Real(0), psi(xhi), 0);
+        if constexpr (p > 2)
+        {
+            CHECK_ULP_CLOSE(Real(0), psi.prime(xlo), 0);
+            CHECK_ULP_CLOSE(Real(0), psi.prime(xhi), 0);
+            if constexpr (p >= 6) {
+                CHECK_ULP_CLOSE(Real(0), psi.double_prime(xlo), 0);
+                CHECK_ULP_CLOSE(Real(0), psi.double_prime(xhi), 0);
+            }
+        }
+        xlo = std::nextafter(xlo, std::numeric_limits<Real>::lowest());
+        xhi = std::nextafter(xhi, std::numeric_limits<Real>::max());
+    }
+
+    xlo = a;
+    xhi = b;
+    for (int i = 0; i < samples; ++i) {
+        std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10);
+        assert(abs(psi(xlo)) <= 5);
+        assert(abs(psi(xhi)) <= 5);
+        if constexpr (p > 2)
+        {
+            assert(abs(psi.prime(xlo)) <= 5);
+            assert(abs(psi.prime(xhi)) <= 5);
+            if constexpr (p >= 6)
+            {
+                assert(abs(psi.double_prime(xlo)) <= 5);
+                assert(abs(psi.double_prime(xhi)) <= 5);
+            }
+        }
+        xlo = std::nextafter(xlo, std::numeric_limits<Real>::max());
+        xhi = std::nextafter(xhi, std::numeric_limits<Real>::lowest());
+    }
+}
+
+int main()
+{
+    test_exact_value<double>();
+
+    boost::hana::for_each(std::make_index_sequence<17>(), [&](auto i){
+        test_quadratures<float, i+3>();
+        test_quadratures<double, i+3>();
+    });
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/digamma_data.ipp b/src/boost/libs/math/test/digamma_data.ipp
new file mode 100644
index 000000000..f2e951f1c
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_data.ipp
@@ -0,0 +1,507 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 500> digamma_data = { {
+      {{ SC_(2.818432331085205078125), SC_(0.8484115700906551606307984398000472347785) }}, 
+      {{ SC_(4.6342258453369140625), SC_(1.421713669467331557347601964119226105014) }}, 
+      {{ SC_(4.783483982086181640625), SC_(1.457016504476551729585831562031964212238) }}, 
+      {{ SC_(8.0939121246337890625), SC_(2.02806725001046109435006913084666450899) }}, 
+      {{ SC_(11.90207004547119140625), SC_(2.434114987242530269375534072241650635459) }}, 
+      {{ SC_(13.53912639617919921875), SC_(2.568199379535107033473901142572267131293) }}, 
+      {{ SC_(15.40344142913818359375), SC_(2.70177959979566700235213147968567613712) }}, 
+      {{ SC_(16.5205841064453125), SC_(2.774036634025874647373138331993451055497) }}, 
+      {{ SC_(17.7738971710205078125), SC_(2.849336085709903318587899668469823726457) }}, 
+      {{ SC_(18.45084381103515625), SC_(2.887766358793563776387986802412157943366) }}, 
+      {{ SC_(29.2202816009521484375), SC_(3.357654052423628189208902434898861034575) }}, 
+      {{ SC_(31.832843780517578125), SC_(3.444709303236843682984386511584019805155) }}, 
+      {{ SC_(33.268566131591796875), SC_(3.48950850367834697800598135337384460165) }}, 
+      {{ SC_(34.31731414794921875), SC_(3.521009352966155255811365379184456009466) }}, 
+      {{ SC_(34.446079254150390625), SC_(3.524809514386367110160928575889334171204) }}, 
+      {{ SC_(35.711681365966796875), SC_(3.561411485674988633898237821294494311983) }}, 
+      {{ SC_(36.441249847412109375), SC_(3.581917907724542515429931900299321464116) }}, 
+      {{ SC_(40.471111297607421875), SC_(3.688183052096727944017539059038660866267) }}, 
+      {{ SC_(42.0541229248046875), SC_(3.727020872145296937504698477067321294092) }}, 
+      {{ SC_(43.023799896240234375), SC_(3.750086956755859174992028774044963741414) }}, 
+      {{ SC_(45.059543609619140625), SC_(3.796847336482220986142117794493357261772) }}, 
+      {{ SC_(46.171390533447265625), SC_(3.821492048093989120306052355659348850595) }}, 
+      {{ SC_(47.944286346435546875), SC_(3.859574612789685102190529392545009249772) }}, 
+      {{ SC_(49.654422760009765625), SC_(3.894984071254501776336224194667579417761) }}, 
+      {{ SC_(51.216426849365234375), SC_(3.92626605711337968996352527100620814691) }}, 
+      {{ SC_(53.152568817138671875), SC_(3.963730056566564459495465774334833292077) }}, 
+      {{ SC_(53.9501190185546875), SC_(3.978763447797611600078998595828792990884) }}, 
+      {{ SC_(59.779544830322265625), SC_(4.082276159182205975531619692613299061202) }}, 
+      {{ SC_(67.59537506103515625), SC_(4.206124370756245048917505923080906736667) }}, 
+      {{ SC_(75.8542938232421875), SC_(4.322208246185371494736862321857785356042) }}, 
+      {{ SC_(75.96668243408203125), SC_(4.323698582444848954937627922600414958993) }}, 
+      {{ SC_(77.55702972412109375), SC_(4.344552810478025331117690547449165135348) }}, 
+      {{ SC_(78.17552947998046875), SC_(4.352547177563450363247154506704116472633) }}, 
+      {{ SC_(81.125762939453125), SC_(4.389824647463436852929138346906265829317) }}, 
+      {{ SC_(83.821380615234375), SC_(4.422711187859794187691096231764756635029) }}, 
+      {{ SC_(84.43585205078125), SC_(4.430058755062111563873245625234033772093) }}, 
+      {{ SC_(85.5157928466796875), SC_(4.442842802158912826398856512764451371231) }}, 
+      {{ SC_(89.82315826416015625), SC_(4.492266007498633968205232190450336649676) }}, 
+      {{ SC_(95.3551788330078125), SC_(4.552355925956436228488375948364274467585) }}, 
+      {{ SC_(96.45452880859375), SC_(4.563878946335176406579712835902366153383) }}, 
+      {{ SC_(97.13177490234375), SC_(4.570912081982896265651973317486608671594) }}, 
+      {{ SC_(97.54039764404296875), SC_(4.575131786976403596191579466163638961361) }}, 
+      {{ SC_(100.73848724365234375), SC_(4.607556365921065105146592555963264085078) }}, 
+      {{ SC_(106.65277099609375), SC_(4.664882989935773341843363089846541745757) }}, 
+      {{ SC_(108.061920166015625), SC_(4.678070284634890633120327580057526752699) }}, 
+      {{ SC_(109.86175537109375), SC_(4.694664727381252692793513795934630009291) }}, 
+      {{ SC_(111.1192169189453125), SC_(4.706097230556212718518769127144178200579) }}, 
+      {{ SC_(111.20275115966796875), SC_(4.706852091693387791616938432500996073933) }}, 
+      {{ SC_(112.46451568603515625), SC_(4.718185320564378713782753437437734301757) }}, 
+      {{ SC_(113.192535400390625), SC_(4.724666465501466074724041170795702750496) }}, 
+      {{ SC_(117.41765594482421875), SC_(4.761472939730569483093207984677455277661) }}, 
+      {{ SC_(118.9976806640625), SC_(4.774896355243431821176509841645237231067) }}, 
+      {{ SC_(119.54718017578125), SC_(4.779522826588010949258957921967185987839) }}, 
+      {{ SC_(123.31893157958984375), SC_(4.81071393197534640354115364663320564994) }}, 
+      {{ SC_(125.18276214599609375), SC_(4.825775288759329337505915366578532955896) }}, 
+      {{ SC_(125.89662933349609375), SC_(4.83148439831388328994923062624365450503) }}, 
+      {{ SC_(126.98681640625), SC_(4.840140688918909476658690945857238201803) }}, 
+      {{ SC_(129.846527099609375), SC_(4.86249754984079778426805097304440742781) }}, 
+      {{ SC_(129.9062042236328125), SC_(4.862958815139702327034828252875472153454) }}, 
+      {{ SC_(131.973297119140625), SC_(4.878806177776566374942264024665615055025) }}, 
+      {{ SC_(132.99603271484375), SC_(4.886555076645559019076170710371114254694) }}, 
+      {{ SC_(133.73638916015625), SC_(4.892127259828019964975240621714384800823) }}, 
+      {{ SC_(135.4770050048828125), SC_(4.905106717626831988577402303939056656494) }}, 
+      {{ SC_(136.0685577392578125), SC_(4.90947974061898410128546715429801925019) }}, 
+      {{ SC_(138.0013275146484375), SC_(4.923635775505805776701767785882153544687) }}, 
+      {{ SC_(138.62445068359375), SC_(4.928157279267557841707446444163947285747) }}, 
+      {{ SC_(140.1438446044921875), SC_(4.939097350804489336186984804448028468727) }}, 
+      {{ SC_(141.8863372802734375), SC_(4.951498208532141218325182302525386281704) }}, 
+      {{ SC_(144.954803466796875), SC_(4.972968676588775902921394002712748457896) }}, 
+      {{ SC_(145.5389862060546875), SC_(4.977004557354005944430878448659040833139) }}, 
+      {{ SC_(147.829010009765625), SC_(4.992670168744977024725477253611297229446) }}, 
+      {{ SC_(149.113983154296875), SC_(5.001354113685057718576710684744348466536) }}, 
+      {{ SC_(149.29400634765625), SC_(5.002564723643670955839282486237921850327) }}, 
+      {{ SC_(152.378021240234375), SC_(5.023079513160560927910374282855545874691) }}, 
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+      {{ SC_(977.00201416015625), SC_(6.883976856642686182085022703036491098977) }}, 
+      {{ SC_(979.74835205078125), SC_(6.886785333127100045440434410093146016624) }}, 
+      {{ SC_(979.9256591796875), SC_(6.886966381237166628662813047575594521666) }}, 
+      {{ SC_(981.10968017578125), SC_(6.888174544185669495233192817179284924608) }}, 
+      {{ SC_(981.72314453125), SC_(6.888799943368115034020659880636949694688) }}, 
+      {{ SC_(982.36053466796875), SC_(6.8894493197658087146525978621453836978) }}, 
+      {{ SC_(987.4595947265625), SC_(6.894629143910089536380903205901047293626) }}, 
+      {{ SC_(988.37939453125), SC_(6.895560662679555267312975090816879245672) }}, 
+      {{ SC_(988.5216064453125), SC_(6.895704609063605825635576817887832481836) }}, 
+      {{ SC_(990.1099853515625), SC_(6.897310953864133148550105914216515716675) }}, 
+      {{ SC_(992.88128662109375), SC_(6.900107437258989936275310085429403733899) }}, 
+      {{ SC_(993.53472900390625), SC_(6.900765679507473199060169339559463847836) }}, 
+      {{ SC_(994.0684814453125), SC_(6.901303031311155785795352189437299613696) }}, 
+      {{ SC_(996.13470458984375), SC_(6.903380469883631241011306751657568074638) }}, 
+      {{ SC_(996.4613037109375), SC_(6.903708447139272864766001846716835845992) }}
+   } };
diff --git a/src/boost/libs/math/test/digamma_neg_data.ipp b/src/boost/libs/math/test/digamma_neg_data.ipp
new file mode 100644
index 000000000..b4225fcf1
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_neg_data.ipp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> digamma_neg_data = { {
+      {{ SC_(-99.7181549072265625), SC_(2.03892909952497242038694056382195623059) }}, 
+      {{ SC_(-99.5216522216796875), SC_(4.3913617771941913117971009646096341326) }}, 
+      {{ SC_(-98.80979156494140625), SC_(-0.01795976054399933340057713377738267488686) }}, 
+      {{ SC_(-98.646087646484375), SC_(3.044214979883807667874683391024711390163) }}, 
+      {{ SC_(-98.2226104736328125), SC_(8.327061837969621994688065941368639650164) }}, 
+      {{ SC_(-96.81671905517578125), SC_(-0.2613967795671165924570265553692310141858) }}, 
+      {{ SC_(-96.555389404296875), SC_(4.023029392905834803729410679283679163172) }}, 
+      {{ SC_(-96.4288330078125), SC_(5.288313818176304987255615817663265383342) }}, 
+      {{ SC_(-96.35587310791015625), SC_(6.101607804168127653000043332720050192048) }}, 
+      {{ SC_(-95.3828582763671875), SC_(5.774458772879798661504785984613127024683) }}, 
+      {{ SC_(-94.87835693359375), SC_(-3.258775525008949657912384482006797161857) }}, 
+      {{ SC_(-94.60498809814453125), SC_(3.479509682356698077739870471765368709254) }}, 
+      {{ SC_(-93.2404632568359375), SC_(7.876249181059212250961342610258680843403) }}, 
+      {{ SC_(-92.41457366943359375), SC_(5.395652110469876120841383508575006667739) }}, 
+      {{ SC_(-90.2868194580078125), SC_(6.996060449908181672759658412431764721268) }}, 
+      {{ SC_(-90.2459564208984375), SC_(7.730510069525265980585453066651639424664) }}, 
+      {{ SC_(-89.013824462890625), SC_(76.7844527353150160809893161375899712728) }}, 
+      {{ SC_(-88.75354766845703125), SC_(1.279073328662160048752885420029490083884) }}, 
+      {{ SC_(-88.1002349853515625), SC_(14.12873575145206447240140060245136812233) }}, 
+      {{ SC_(-87.481719970703125), SC_(4.657749706875254767656016829355880725463) }}, 
+      {{ SC_(-87.41033935546875), SC_(5.385408972387998240975025273868320766616) }}, 
+      {{ SC_(-87.3013153076171875), SC_(6.737807742019520253440825060046509923858) }}, 
+      {{ SC_(-87.00937652587890625), SC_(111.0902104512757743601088229496385482381) }}, 
+      {{ SC_(-86.452301025390625), SC_(4.939690918031593302255270591348782158549) }}, 
+      {{ SC_(-86.1375579833984375), SC_(11.27311653802311845949475246171079728424) }}, 
+      {{ SC_(-85.81136322021484375), SC_(-0.2076024359899236820459284405564934682571) }}, 
+      {{ SC_(-85.08860015869140625), SC_(15.4432197184156901762673734012738165669) }}, 
+      {{ SC_(-85.0706024169921875), SC_(18.38013049788840734996810404641615698096) }}, 
+      {{ SC_(-84.55615997314453125), SC_(3.88321705564237834505242432670033691134) }}, 
+      {{ SC_(-84.2386932373046875), SC_(7.812678135978754145263274987740845778654) }}, 
+      {{ SC_(-84.194244384765625), SC_(8.931719867523162463837746400725488234199) }}, 
+      {{ SC_(-83.73882293701171875), SC_(1.505295935399338449868426369185929751229) }}, 
+      {{ SC_(-82.8813323974609375), SC_(-3.609402776980612588036128298328365683225) }}, 
+      {{ SC_(-82.6134796142578125), SC_(3.250221400281531800616333769504919375611) }}, 
+      {{ SC_(-81.31273651123046875), SC_(6.500209496762236219781012282892172792378) }}, 
+      {{ SC_(-81.16180419921875), SC_(10.04118609757139096209050165941519368701) }}, 
+      {{ SC_(-80.34047698974609375), SC_(6.113463877628090613614429157059502101004) }}, 
+      {{ SC_(-79.1931915283203125), SC_(8.902649813785723219406837941195708301933) }}, 
+      {{ SC_(-78.979095458984375), SC_(-43.39220275151493342151673584769713674459) }}, 
+      {{ SC_(-78.80756378173828125), SC_(-0.1741139524199893908631289936754328553595) }}, 
+      {{ SC_(-78.276214599609375), SC_(7.029126641974004636072711755974329319293) }}, 
+      {{ SC_(-77.8965911865234375), SC_(-4.965949067939776233732103672063117487233) }}, 
+      {{ SC_(-77.618804931640625), SC_(3.128016725588726483845498994960937165101) }}, 
+      {{ SC_(-76.9843902587890625), SC_(-59.66111542957708160367279993835116598861) }}, 
+      {{ SC_(-75.6475067138671875), SC_(2.762831843674791808646068344156198358292) }}, 
+      {{ SC_(-74.8916168212890625), SC_(-4.544467476010996269925717795920967036228) }}, 
+      {{ SC_(-74.57178497314453125), SC_(3.59770242115359475843120457380803078855) }}, 
+      {{ SC_(-74.49048614501953125), SC_(4.411294618813885078478516140128263239646) }}, 
+      {{ SC_(-74.249176025390625), SC_(7.472045154786435852081961669032387751756) }}, 
+      {{ SC_(-72.397491455078125), SC_(5.337270392731504876256252154330660996853) }}, 
+      {{ SC_(-72.30770111083984375), SC_(6.45618615562028783175344592523791857763) }}, 
+      {{ SC_(-72.150177001953125), SC_(10.44291983579332484719137950538141198138) }}, 
+      {{ SC_(-71.41609954833984375), SC_(5.123297394484169650507849264219211277233) }}, 
+      {{ SC_(-70.29705810546875), SC_(6.586989653308987758464004111780026164342) }}, 
+      {{ SC_(-70.0168304443359375), SC_(63.61661733083149880967450730403400964169) }}, 
+      {{ SC_(-69.808685302734375), SC_(-0.3289873714853887848889508326638941457588) }}, 
+      {{ SC_(-69.18329620361328125), SC_(9.082833286105283040745693219253094753599) }}, 
+      {{ SC_(-68.3449554443359375), SC_(5.895816498784197711310887233679346985484) }}, 
+      {{ SC_(-68.2900543212890625), SC_(6.667078439728477642775937857513723712022) }}, 
+      {{ SC_(-66.7551727294921875), SC_(0.9631089274457797371832913555201378277263) }}, 
+      {{ SC_(-66.2877349853515625), SC_(6.674402390903648107264524741943941318692) }}, 
+      {{ SC_(-65.96142578125), SC_(-21.60039097244717646250068532377671067773) }}, 
+      {{ SC_(-65.00162506103515625), SC_(619.5382407651047414044960295217348989637) }}, 
+      {{ SC_(-64.83405303955078125), SC_(-1.290399564904368875515657543138626740639) }}, 
+      {{ SC_(-64.72376251220703125), SC_(1.515712957371258935902920146011383158566) }}, 
+      {{ SC_(-64.36548614501953125), SC_(5.585036804770642096748234463405359373268) }}, 
+      {{ SC_(-63.870601654052734375), SC_(-3.132938413135016068514633000959251655011) }}, 
+      {{ SC_(-61.955417633056640625), SC_(-18.14906679867205714676685355624200206247) }}, 
+      {{ SC_(-61.84415435791015625), SC_(-1.762828050189299963414925510084105410157) }}, 
+      {{ SC_(-61.27040863037109375), SC_(6.885962246437210164247050669769241762116) }}, 
+      {{ SC_(-61.1430206298828125), SC_(10.63639337906714605332887925207272339472) }}, 
+      {{ SC_(-60.7772979736328125), SC_(0.3828568174285943765552196371752184023788) }}, 
+      {{ SC_(-60.767955780029296875), SC_(0.597630996899231770205669545427601282449) }}, 
+      {{ SC_(-60.50917816162109375), SC_(4.020425571512186535251807369058720729888) }}, 
+      {{ SC_(-60.126148223876953125), SC_(11.61249771821316227897371950731036451444) }}, 
+      {{ SC_(-59.5791473388671875), SC_(3.298014524278177804824357796228486139154) }}, 
+      {{ SC_(-59.12688446044921875), SC_(11.54738093463764209365528407465938463008) }}, 
+      {{ SC_(-58.733348846435546875), SC_(1.252516603233681404470535780337376850768) }}, 
+      {{ SC_(-57.823871612548828125), SC_(-1.020030805813282973065541328061417103161) }}, 
+      {{ SC_(-57.791233062744140625), SC_(-0.01721196139850082730515140522511875898686) }}, 
+      {{ SC_(-57.6834869384765625), SC_(2.021283718214246528807976825874750730944) }}, 
+      {{ SC_(-56.1255645751953125), SC_(11.58306242149007962260737588966574096145) }}, 
+      {{ SC_(-55.441379547119140625), SC_(4.6095090326877333856682583039277727222) }}, 
+      {{ SC_(-54.396717071533203125), SC_(5.062176320861478792112156635998489324447) }}, 
+      {{ SC_(-54.201084136962890625), SC_(8.295102791777500360299701370233860660785) }}, 
+      {{ SC_(-53.06093597412109375), SC_(20.19053903029668873838826742013474757079) }}, 
+      {{ SC_(-52.671115875244140625), SC_(2.10070123867348232297487204513445237558) }}, 
+      {{ SC_(-52.52413177490234375), SC_(3.73213352669881119442059765740051858078) }}, 
+      {{ SC_(-51.462436676025390625), SC_(4.323002262954298089562762598650242024201) }}, 
+      {{ SC_(-51.243106842041015625), SC_(7.226998934762993806818100988804419542686) }}, 
+      {{ SC_(-51.0235595703125), SC_(46.31011451882384360024092555028601375848) }}, 
+      {{ SC_(-50.94109344482421875), SC_(-12.8413475810657768775226051735008739843) }}, 
+      {{ SC_(-50.163593292236328125), SC_(9.490021355163248564818621481640556958139) }}, 
+      {{ SC_(-49.63372802734375), SC_(2.511313156813305996562305257857390789172) }}, 
+      {{ SC_(-49.404293060302734375), SC_(4.884246649262366888920411419024147958277) }}, 
+      {{ SC_(-47.262851715087890625), SC_(6.763893885944739117755918311467424143999) }}, 
+      {{ SC_(-46.920246124267578125), SC_(-8.416023355487745311972990967262253971971) }}, 
+      {{ SC_(-45.31185150146484375), SC_(5.932978383248106730387626359282358526882) }}, 
+      {{ SC_(-45.278446197509765625), SC_(6.448720313065481170040935613035156187478) }}, 
+      {{ SC_(-45.277942657470703125), SC_(6.457159638091017467737698925977740795224) }}, 
+      {{ SC_(-45.027637481689453125), SC_(39.91011698129930359222267887372752760268) }}, 
+      {{ SC_(-43.8442535400390625), SC_(-2.107933118887280485309161602735949216416) }}, 
+      {{ SC_(-43.217838287353515625), SC_(7.628256500265451720152832482834432955622) }}, 
+      {{ SC_(-43.11763763427734375), SC_(11.88558178274471415613706962118145261485) }}, 
+      {{ SC_(-42.62453460693359375), SC_(2.468202270232387819257535057032048703186) }}, 
+      {{ SC_(-41.904331207275390625), SC_(-6.388806142931646581376930809159704270731) }}, 
+      {{ SC_(-41.473590850830078125), SC_(3.998311840817845119612809226760453214553) }}, 
+      {{ SC_(-41.47322845458984375), SC_(4.001904991009103072678533254287758877523) }}, 
+      {{ SC_(-40.71761322021484375), SC_(1.159373041348507101344016731863232548419) }}, 
+      {{ SC_(-40.549640655517578125), SC_(3.220862320117017004190871786172571326259) }}, 
+      {{ SC_(-38.39553070068359375), SC_(4.73066601123284545617603996389975515062) }}, 
+      {{ SC_(-36.764072418212890625), SC_(0.185641778964637473051349775352193113594) }}, 
+      {{ SC_(-36.0236663818359375), SC_(45.77413334958292444754118070178767678465) }}, 
+      {{ SC_(-35.60390472412109375), SC_(2.522888342129267961559021180379112152327) }}, 
+      {{ SC_(-35.3686981201171875), SC_(4.954668236416411879662604875880175363163) }}, 
+      {{ SC_(-34.49019622802734375), SC_(3.651891900429621653936520779034983699363) }}, 
+      {{ SC_(-34.452213287353515625), SC_(4.029227315027716909301715786442880409125) }}, 
+      {{ SC_(-34.425933837890625), SC_(4.297752459205291355542460490934969321341) }}, 
+      {{ SC_(-33.6394500732421875), SC_(2.05879207452756962707410762095930722907) }}, 
+      {{ SC_(-32.12648773193359375), SC_(10.97049318285659411778704721045579811462) }}, 
+      {{ SC_(-32.02973175048828125), SC_(37.01840088144976405978561031600232101035) }}, 
+      {{ SC_(-32.018024444580078125), SC_(58.90273484616011864735901401561254400453) }}, 
+      {{ SC_(-31.864048004150390625), SC_(-3.425649819825478548122204473279221831269) }}, 
+      {{ SC_(-30.5171375274658203125), SC_(3.265278944239551980140922031510366995665) }}, 
+      {{ SC_(-30.4767131805419921875), SC_(3.663521748406629288062646856398131484428) }}, 
+      {{ SC_(-30.0923290252685546875), SC_(13.94615623704883065583726298948748620016) }}, 
+      {{ SC_(-29.4225749969482421875), SC_(4.178249593518503446782790798157935603259) }}, 
+      {{ SC_(-29.395389556884765625), SC_(4.46906479672600980848725781028158753644) }}, 
+      {{ SC_(-29.0635166168212890625), SC_(18.92098221867999526957587349227217750794) }}, 
+      {{ SC_(-28.929615020751953125), SC_(-10.59321162183541691346972253310776238772) }}, 
+      {{ SC_(-27.416103363037109375), SC_(4.17700594969969944426868830026842791532) }}, 
+      {{ SC_(-27.304531097412109375), SC_(5.54012214812515808522852628894283103891) }}, 
+      {{ SC_(-26.72013092041015625), SC_(0.7028843790088342764015208907756718567463) }}, 
+      {{ SC_(-25.9352741241455078125), SC_(-11.9614838597048426449728575053473182996) }}, 
+      {{ SC_(-25.6867523193359375), SC_(1.176826484915453835886205411786243733377) }}, 
+      {{ SC_(-24.8732929229736328125), SC_(-4.237136620209855403786484087613189060887) }}, 
+      {{ SC_(-24.6270904541015625), SC_(1.898484134239669451822687252748496404653) }}, 
+      {{ SC_(-24.53133392333984375), SC_(2.909938662308256016840011167255882888239) }}, 
+      {{ SC_(-24.27997589111328125), SC_(5.809456022692943160671997012588234680914) }}, 
+      {{ SC_(-24.225986480712890625), SC_(6.863255301509444395634121067991546441736) }}, 
+      {{ SC_(-23.8268795013427734375), SC_(-2.003570170516321537241642099057200674105) }}, 
+      {{ SC_(-23.6249980926513671875), SC_(1.882051906931976769141489221324624486755) }}, 
+      {{ SC_(-23.4483184814453125), SC_(3.690576780901990543590973501647480396476) }}, 
+      {{ SC_(-22.6082859039306640625), SC_(2.02829972990549794339388303789633983053) }}, 
+      {{ SC_(-22.1102294921875), SC_(11.82489297106174961055859856595077767589) }}, 
+      {{ SC_(-22.0832767486572265625), SC_(14.85021720005861723216276067526099288351) }}, 
+      {{ SC_(-20.779270172119140625), SC_(-0.7220286362185610999510531120120858367544) }}, 
+      {{ SC_(-20.6402416229248046875), SC_(1.570036502538595917265616936047416332984) }}, 
+      {{ SC_(-20.60250091552734375), SC_(2.001360446832507792499854867762750216251) }}, 
+      {{ SC_(-20.480007171630859375), SC_(3.241245764823419396963096620359809656269) }}, 
+      {{ SC_(-20.27201080322265625), SC_(5.768313318300353594949489118483966781535) }}, 
+      {{ SC_(-20.2071361541748046875), SC_(7.156819372589727235791276774661186960423) }}, 
+      {{ SC_(-20.1894168853759765625), SC_(7.670698039778866912498508209079922928436) }}, 
+      {{ SC_(-19.971954345703125), SC_(-32.54467844963252077717911577731405834236) }}, 
+      {{ SC_(-19.2469005584716796875), SC_(6.186480084023335387087272289090747328989) }}, 
+      {{ SC_(-19.1824493408203125), SC_(7.847002126080603757397510906504995585177) }}, 
+      {{ SC_(-19.0265483856201171875), SC_(40.55157678949956103482720787629324186475) }}, 
+      {{ SC_(-18.5715198516845703125), SC_(2.230314699128516174606595799951710607353) }}, 
+      {{ SC_(-18.5276336669921875), SC_(2.672586759609702793340088983364248246452) }}, 
+      {{ SC_(-17.9159221649169921875), SC_(-8.702502484177860216144583065634001249363) }}, 
+      {{ SC_(-17.8754024505615234375), SC_(-4.700545068020732462956282791568579773556) }}, 
+      {{ SC_(-17.8096714019775390625), SC_(-1.704910040367315348529245955199242558161) }}, 
+      {{ SC_(-17.654216766357421875), SC_(1.245525979337004465966586338242325823861) }}, 
+      {{ SC_(-16.9171390533447265625), SC_(-8.936978387990812220163335657856867859665) }}, 
+      {{ SC_(-16.4991436004638671875), SC_(2.841759414051282631909664692084257003501) }}, 
+      {{ SC_(-15.9282741546630859375), SC_(-10.90604642089629536174323573315025319791) }}, 
+      {{ SC_(-15.1532230377197265625), SC_(8.7652341843566231062515337784346464505) }}, 
+      {{ SC_(-15.0870685577392578125), SC_(13.94393218121241823357181745576517766981) }}, 
+      {{ SC_(-12.7571163177490234375), SC_(-0.7005285484888729861556721133426365160483) }}, 
+      {{ SC_(-12.32425594329833984375), SC_(4.486877647992933354241229013873681135288) }}, 
+      {{ SC_(-12.15693378448486328125), SC_(8.38572290746722802141392801697704201607) }}, 
+      {{ SC_(-10.90967655181884765625), SC_(-8.337781110433724243601733849861559188948) }}, 
+      {{ SC_(-9.42080593109130859375), SC_(3.093207549574642835823398326728433769791) }}, 
+      {{ SC_(-9.26352691650390625), SC_(5.164408378967561819557747661923746174341) }}, 
+      {{ SC_(-8.66241455078125), SC_(0.4573363030846697184753722937434504783991) }}, 
+      {{ SC_(-8.42644596099853515625), SC_(2.928692490941547323611393715468003596111) }}, 
+      {{ SC_(-8.28063488006591796875), SC_(4.761502420123261711232867499795716416469) }}, 
+      {{ SC_(-7.91252231597900390625), SC_(-9.011928670506620642435146780806294048492) }}, 
+      {{ SC_(-7.073635101318359375), SC_(15.36275862317279916670563199810883722471) }}, 
+      {{ SC_(-6.600677967071533203125), SC_(0.9328456790163266794082601288835098544981) }}, 
+      {{ SC_(-6.59893131256103515625), SC_(0.9516512759861559819594253210068193102636) }}, 
+      {{ SC_(-5.9925975799560546875), SC_(-133.1949549912806814878528595454864731658) }}, 
+      {{ SC_(-4.9777927398681640625), SC_(-43.25515309581336581959034619574585012987) }}, 
+      {{ SC_(-4.4982433319091796875), SC_(1.628080704179537179987368246302687190569) }}, 
+      {{ SC_(-4.28330326080322265625), SC_(4.11144188155776750659420254650051070116) }}, 
+      {{ SC_(-4.24931621551513671875), SC_(4.714952991490022604296929488005221371491) }}, 
+      {{ SC_(-4.0708599090576171875), SC_(15.40013806764590763994801524236096523633) }}, 
+      {{ SC_(-4.05075550079345703125), SC_(21.05232398567253746583677948874966443745) }}, 
+      {{ SC_(-4.0256023406982421875), SC_(40.48643215403911174179393965158605983731) }}, 
+      {{ SC_(-3.5111486911773681640625), SC_(1.281561880048097406180157051598176902444) }}, 
+      {{ SC_(-3.5033643245697021484375), SC_(1.356501581084328750160720447675663936527) }}, 
+      {{ SC_(-3.2305061817169189453125), SC_(4.871536212360443209892217244039906620205) }}, 
+      {{ SC_(-3.1132221221923828125), SC_(9.744280495465310545518498968361342433867) }}, 
+      {{ SC_(-2.9407203197479248046875), SC_(-15.4345615314581643435197891745342605011) }}, 
+      {{ SC_(-1.8890321254730224609375), SC_(-7.765572445501014244464453609042267110197) }}, 
+      {{ SC_(-1.2540400028228759765625), SC_(3.637637081727820317005755368640064000683) }}, 
+      {{ SC_(-1.1478424072265625), SC_(6.784401313345897445876900487443690652634) }}, 
+      {{ SC_(-0.7118701934814453125), SC_(-2.248647256037530489173954985789306442878) }}, 
+      {{ SC_(-0.593149662017822265625), SC_(-0.8263747473361177168793211424797478169291) }}, 
+      {{ SC_(-0.3538668155670166015625), SC_(1.443172070386911802413212733069332368731) }}
+   } };
diff --git a/src/boost/libs/math/test/digamma_root_data.ipp b/src/boost/libs/math/test/digamma_root_data.ipp
new file mode 100644
index 000000000..f56bd8f5f
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_root_data.ipp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> digamma_root_data = { {
+      {{ SC_(1.39999997615814208984375), SC_(-0.06138456903152256550686860248931989075643) }}, 
+      {{ SC_(1.4005000591278076171875), SC_(-0.06087192929516339380130503872301167293378) }}, 
+      {{ SC_(1.40100002288818359375), SC_(-0.06035965880979232302674791723368356347747) }}, 
+      {{ SC_(1.4014999866485595703125), SC_(-0.05984763511635311349827564040488766194063) }}, 
+      {{ SC_(1.401999950408935546875), SC_(-0.0593358579881174546738279942752396761834) }}, 
+      {{ SC_(1.40250003337860107421875), SC_(-0.05882420526073090100751004662830533539728) }}, 
+      {{ SC_(1.40299999713897705078125), SC_(-0.0583129206425757749570876729240439746001) }}, 
+      {{ SC_(1.40349996089935302734375), SC_(-0.05780188191118900126815738602890619172921) }}, 
+      {{ SC_(1.4040000438690185546875), SC_(-0.05729096707893393080771549505001408983822) }}, 
+      {{ SC_(1.40450000762939453125), SC_(-0.056780419503293858705549580743156540668) }}, 
+      {{ SC_(1.4049999713897705078125), SC_(-0.05627011713868186213939939894956276866569) }}, 
+      {{ SC_(1.40550005435943603515625), SC_(-0.05575993817369138452985739956960740694737) }}, 
+      {{ SC_(1.40600001811981201171875), SC_(-0.05525012561586888099905375034247029300063) }}, 
+      {{ SC_(1.40649998188018798828125), SC_(-0.05474055759601525571890189603476879643263) }}, 
+      {{ SC_(1.40699994564056396484375), SC_(-0.05423123389038862937136671914178719811082) }}, 
+      {{ SC_(1.4075000286102294921875), SC_(-0.05372203292179596750107248206039107172611) }}, 
+      {{ SC_(1.40799999237060546875), SC_(-0.05321319723270065414202667836306539722927) }}, 
+      {{ SC_(1.4084999561309814453125), SC_(-0.05270460518832646256646398238653334023619) }}, 
+      {{ SC_(1.40900003910064697265625), SC_(-0.05219613538658003557049855371629116390416) }}, 
+      {{ SC_(1.40950000286102294921875), SC_(-0.05168803002221822433984269085445887545932) }}, 
+      {{ SC_(1.40999996662139892578125), SC_(-0.05118016763572077571206202324130731620467) }}, 
+      {{ SC_(1.410500049591064453125), SC_(-0.05067242699961275111564488922723020894775) }}, 
+      {{ SC_(1.4110000133514404296875), SC_(-0.05016504996189404179318756205383368841508) }}, 
+      {{ SC_(1.41149997711181640625), SC_(-0.04965791523781849836663795623050040651275) }}, 
+      {{ SC_(1.41200006008148193359375), SC_(-0.04915090177405025431768617393574718923719) }}, 
+      {{ SC_(1.41250002384185791015625), SC_(-0.04864425107277807126795345488864174180773) }}, 
+      {{ SC_(1.41299998760223388671875), SC_(-0.04813784202354994896630230505781776120276) }}, 
+      {{ SC_(1.41349995136260986328125), SC_(-0.04763167440643069181645608937840354367671) }}, 
+      {{ SC_(1.414000034332275390625), SC_(-0.04712562739952290889837033293650476187953) }}, 
+      {{ SC_(1.4144999980926513671875), SC_(-0.04661994204540782942709091596942293402734) }}, 
+      {{ SC_(1.41499996185302734375), SC_(-0.04611449746527775349715574804732130222007) }}, 
+      {{ SC_(1.41550004482269287109375), SC_(-0.04560917301026328003252147788241984436241) }}, 
+      {{ SC_(1.41600000858306884765625), SC_(-0.0451042093793269736581833678634701785191) }}, 
+      {{ SC_(1.41649997234344482421875), SC_(-0.04459948586684279443839061743784846261709) }}, 
+      {{ SC_(1.4170000553131103515625), SC_(-0.04409488199649628730133723954943974407746) }}, 
+      {{ SC_(1.417500019073486328125), SC_(-0.0435906381245648444628637002942433530947) }}, 
+      {{ SC_(1.4179999828338623046875), SC_(-0.04308663371813044418132048918710682813622) }}, 
+      {{ SC_(1.41849994659423828125), SC_(-0.04258286856012920630307449298163993137931) }}, 
+      {{ SC_(1.41900002956390380859375), SC_(-0.0420792224035827733504570446125334946695) }}, 
+      {{ SC_(1.41949999332427978515625), SC_(-0.04157593514930978152490152156879729835277) }}, 
+      {{ SC_(1.41999995708465576171875), SC_(-0.04107288649393147397031813049746661830252) }}, 
+      {{ SC_(1.4205000400543212890625), SC_(-0.04056995636192793782845393152872471220703) }}, 
+      {{ SC_(1.421000003814697265625), SC_(-0.04006738431359655642636465412836862063583) }}, 
+      {{ SC_(1.4214999675750732421875), SC_(-0.03956505021716870619391607561977829898393) }}, 
+      {{ SC_(1.42200005054473876953125), SC_(-0.0390628341681160707895772877982347062534) }}, 
+      {{ SC_(1.42250001430511474609375), SC_(-0.03856097538713614221174291451172868720556) }}, 
+      {{ SC_(1.42299997806549072265625), SC_(-0.03805935391360299407483745199209552218662) }}, 
+      {{ SC_(1.42349994182586669921875), SC_(-0.03755796953327570443031191372677272436563) }}, 
+      {{ SC_(1.4240000247955322265625), SC_(-0.03705670256888721277125707475995514593767) }}, 
+      {{ SC_(1.424499988555908203125), SC_(-0.03655579178977111826937882476062071563405) }}, 
+      {{ SC_(1.4249999523162841796875), SC_(-0.0360551174627633043738925866730974379965) }}, 
+      {{ SC_(1.42550003528594970703125), SC_(-0.03555456008050613945891518063349475611711) }}, 
+      {{ SC_(1.42599999904632568359375), SC_(-0.03505435807486918460538076814912383388358) }}, 
+      {{ SC_(1.42649996280670166015625), SC_(-0.03455439188274749223938775275471736825604) }}, 
+      {{ SC_(1.4270000457763671875), SC_(-0.03405454216623210245980763665400513878778) }}, 
+      {{ SC_(1.4275000095367431640625), SC_(-0.03355504702063797243050550756083487574355) }}, 
+      {{ SC_(1.427999973297119140625), SC_(-0.03305578705245798813618865616700236433431) }}, 
+      {{ SC_(1.42850005626678466796875), SC_(-0.03255664309277291143229018160781330281834) }}, 
+      {{ SC_(1.42900002002716064453125), SC_(-0.03205785290124899051424545775403784997954) }}, 
+      {{ SC_(1.42949998378753662109375), SC_(-0.03155929725351741957783226833498005852699) }}, 
+      {{ SC_(1.42999994754791259765625), SC_(-0.03106097593893646101388889322754816060391) }}, 
+      {{ SC_(1.430500030517578125), SC_(-0.03056277001319123536849588910788667969385) }}, 
+      {{ SC_(1.4309999942779541015625), SC_(-0.03006491678982831278985395858099735606325) }}, 
+      {{ SC_(1.431499958038330078125), SC_(-0.02956729726928046744375226173805018083445) }}, 
+      {{ SC_(1.43200004100799560546875), SC_(-0.029069792675158646894282928074400495447) }}, 
+      {{ SC_(1.43250000476837158203125), SC_(-0.02857263998746077965589217391685781750225) }}, 
+      {{ SC_(1.43299996852874755859375), SC_(-0.02807572037469272194244519088403794652932) }}, 
+      {{ SC_(1.4335000514984130859375), SC_(-0.02757891522793825630459486913227966938778) }}, 
+      {{ SC_(1.4340000152587890625), SC_(-0.02708246119454089526602248424490897334451) }}, 
+      {{ SC_(1.4344999790191650390625), SC_(-0.02658623961062601916105249666629939819311) }}, 
+      {{ SC_(1.434999942779541015625), SC_(-0.02609025026826734736532129982459892559412) }}, 
+      {{ SC_(1.43550002574920654296875), SC_(-0.02559437478113976107312669529902398957573) }}, 
+      {{ SC_(1.43599998950958251953125), SC_(-0.0250988493544413555894730759899566827115) }}, 
+      {{ SC_(1.43649995326995849609375), SC_(-0.02460355554708331611314729590329885967853) }}, 
+      {{ SC_(1.4370000362396240234375), SC_(-0.02410837513916324870453956495027706651788) }}, 
+      {{ SC_(1.4375), SC_(-0.02361354400529789914172989421521805262163) }}, 
+      {{ SC_(1.4379999637603759765625), SC_(-0.02311894387096655710370815673046310749581) }}, 
+      {{ SC_(1.43850004673004150390625), SC_(-0.02262445668224241951726505286548155427726) }}, 
+      {{ SC_(1.43900001049041748046875), SC_(-0.02213031798404363285679840262837603735113) }}, 
+      {{ SC_(1.43949997425079345703125), SC_(-0.02163640966796990067907296550632756430219) }}, 
+      {{ SC_(1.440000057220458984375), SC_(-0.02114261384562461502572001614025897932072) }}, 
+      {{ SC_(1.4405000209808349609375), SC_(-0.02064916573310666785738104392419687958556) }}, 
+      {{ SC_(1.4409999847412109375), SC_(-0.02015594738769022700601666231128218163721) }}, 
+      {{ SC_(1.4414999485015869140625), SC_(-0.0196629586049117094653247721121789058042) }}, 
+      {{ SC_(1.44200003147125244140625), SC_(-0.0191700817163872207492164657910951176529) }}, 
+      {{ SC_(1.44249999523162841796875), SC_(-0.01867755150116066387436310533382643774849) }}, 
+      {{ SC_(1.44299995899200439453125), SC_(-0.01818525023671041840942493794786294366844) }}, 
+      {{ SC_(1.443500041961669921875), SC_(-0.01769306041915025068329883160626130368828) }}, 
+      {{ SC_(1.4440000057220458984375), SC_(-0.01720121650074344257459977191565623298452) }}, 
+      {{ SC_(1.444499969482421875), SC_(-0.01670960092360902193107619746814218063958) }}, 
+      {{ SC_(1.44500005245208740234375), SC_(-0.01621809634791875134279906903350577844016) }}, 
+      {{ SC_(1.44550001621246337890625), SC_(-0.015726936900023407129612092249722223488) }}, 
+      {{ SC_(1.44599997997283935546875), SC_(-0.01523600518624245606690212546401818985812) }}, 
+      {{ SC_(1.44649994373321533203125), SC_(-0.01474530100472522827513829838650753549117) }}, 
+      {{ SC_(1.447000026702880859375), SC_(-0.01425470723370217219431406682491211640879) }}, 
+      {{ SC_(1.4474999904632568359375), SC_(-0.01376445756632729291905843124879046109968) }}, 
+      {{ SC_(1.4479999542236328125), SC_(-0.01327443482716782005100353254837490055862) }}, 
+      {{ SC_(1.44850003719329833984375), SC_(-0.01278452205749292497551903285885539659936) }}, 
+      {{ SC_(1.44900000095367431640625), SC_(-0.01229495262655675620536025426734759387572) }}, 
+      {{ SC_(1.44949996471405029296875), SC_(-0.01180560952210644817133945874679139627505) }}, 
+      {{ SC_(1.4500000476837158203125), SC_(-0.01131637594801586656260394588481713457627) }}, 
+      {{ SC_(1.450500011444091796875), SC_(-0.01082748495049637469227173996198819829549) }}, 
+      {{ SC_(1.4509999752044677734375), SC_(-0.01033881968004044725477451816247304271862) }}, 
+      {{ SC_(1.45150005817413330078125), SC_(-0.009850263502694288097376018889413894603933) }}, 
+      {{ SC_(1.45200002193450927734375), SC_(-0.009362049142480268951706194627385896301701) }}, 
+      {{ SC_(1.45249998569488525390625), SC_(-0.008874059912203315333901183590153038939381) }}, 
+      {{ SC_(1.45299994945526123046875), SC_(-0.008386295613345236665485880245372577446211) }}, 
+      {{ SC_(1.4535000324249267578125), SC_(-0.007898639827508066919974235979462981148542) }}, 
+      {{ SC_(1.453999996185302734375), SC_(-0.007411324850459837999980330364290265721957) }}, 
+      {{ SC_(1.4544999599456787109375), SC_(-0.006924234210747293687116178727328347532758) }}, 
+      {{ SC_(1.45500004291534423828125), SC_(-0.006437251651142443774260894146878774165176) }}, 
+      {{ SC_(1.45550000667572021484375), SC_(-0.005950609147203835378592212115736517701905) }}, 
+      {{ SC_(1.45599997043609619140625), SC_(-0.005464190388787066551639512688711491505847) }}, 
+      {{ SC_(1.45650005340576171875), SC_(-0.00497787927940728167871412685817772062165) }}, 
+      {{ SC_(1.4570000171661376953125), SC_(-0.004491907475256527500473978270689662215921) }}, 
+      {{ SC_(1.457499980926513671875), SC_(-0.004006158827071890461464755144012668001093) }}, 
+      {{ SC_(1.4579999446868896484375), SC_(-0.003520633138850239630378016887483403867021) }}, 
+      {{ SC_(1.45850002765655517578125), SC_(-0.003035214527765513668034604216830692388851) }}, 
+      {{ SC_(1.45899999141693115234375), SC_(-0.002550134225501944697075651923125347621858) }}, 
+      {{ SC_(1.45949995517730712890625), SC_(-0.002065276296639069833107196292495616468625) }}, 
+      {{ SC_(1.46000003814697265625), SC_(-0.001580525018104361453955140711216969645092) }}, 
+      {{ SC_(1.4605000019073486328125), SC_(-0.001096111304170043846745287256190494732511) }}, 
+      {{ SC_(1.460999965667724609375), SC_(-0.0006119193793063274064283424010699749479896) }}, 
+      {{ SC_(1.46150004863739013671875), SC_(-0.0001278336797728010038687456086772293940197) }}, 
+      {{ SC_(1.46200001239776611328125), SC_(0.0003559151967379670943728162750581078035161) }}, 
+      {{ SC_(1.46249997615814208984375), SC_(0.0008394428662870266119150633759096763287959) }}, 
+      {{ SC_(1.4630000591278076171875), SC_(0.001322864733702479649625580945291659569672) }}, 
+      {{ SC_(1.46350002288818359375), SC_(0.001805950517042218036842926190553563525984) }}, 
+      {{ SC_(1.4639999866485595703125), SC_(0.002288815673318872744259324682705288271519) }}, 
+      {{ SC_(1.464499950408935546875), SC_(0.002771460395327381562525270989780009242693) }}, 
+      {{ SC_(1.46500003337860107421875), SC_(0.003253999876667223767472091225924873652768) }}, 
+      {{ SC_(1.46549999713897705078125), SC_(0.003736204255104145549500401970100669234964) }}, 
+      {{ SC_(1.46599996089935302734375), SC_(0.004218188776241473723916466805139222942859) }}, 
+      {{ SC_(1.4665000438690185546875), SC_(0.004700068475739702789490158181882191908657) }}, 
+      {{ SC_(1.46700000762939453125), SC_(0.005181613805192456365413438059635728009745) }}, 
+      {{ SC_(1.4674999713897705078125), SC_(0.005662939852129155621931915752726712941002) }}, 
+      {{ SC_(1.46800005435943603515625), SC_(0.006144161494685809209920008019685283315534) }}, 
+      {{ SC_(1.46850001811981201171875), SC_(0.006625049497465130483020027415596322710511) }}, 
+      {{ SC_(1.46899998188018798828125), SC_(0.007105718790337639298786852855563148822142) }}, 
+      {{ SC_(1.46949994564056396484375), SC_(0.007586169563676627501200448950668213028167) }}, 
+      {{ SC_(1.4700000286102294921875), SC_(0.008066516486231662885434708649134127678999) }}, 
+      {{ SC_(1.47049999237060546875), SC_(0.008546530738674327360836097967927454942833) }}, 
+      {{ SC_(1.4709999561309814453125), SC_(0.00902632704131026480217858186061492831619) }}, 
+      {{ SC_(1.47150003910064697265625), SC_(0.009506019906325596650154195641432409630907) }}, 
+      {{ SC_(1.47200000286102294921875), SC_(0.009985380825502499855688695923101130679945) }}, 
+      {{ SC_(1.47249996662139892578125), SC_(0.01046452436244992624581900727741018711986) }}, 
+      {{ SC_(1.473000049591064453125), SC_(0.01094356487319982808059040901671966801919) }}, 
+      {{ SC_(1.4735000133514404296875), SC_(0.01142227415983642922640932055783984854239) }}, 
+      {{ SC_(1.47399997711181640625), SC_(0.01190076662968176394047411758437134448755) }}, 
+      {{ SC_(1.47450006008148193359375), SC_(0.01237915648302134259978832581154852202161) }}, 
+      {{ SC_(1.47500002384185791015625), SC_(0.01285721583143592736486164760948599640939) }}, 
+      {{ SC_(1.47549998760223388671875), SC_(0.01333505892636885712587736290231507253031) }}, 
+      {{ SC_(1.47599995136260986328125), SC_(0.01381268595510390028319865656189032981603) }}, 
+      {{ SC_(1.476500034332275390625), SC_(0.01429021091090032875378729920511744436802) }}, 
+      {{ SC_(1.4769999980926513671875), SC_(0.01476740631674500824066000704296476101248) }}, 
+      {{ SC_(1.47749996185302734375), SC_(0.01524438621687947040773770812918073015903) }}, 
+      {{ SC_(1.47800004482269287109375), SC_(0.01572126444976191365504766913460853166159) }}, 
+      {{ SC_(1.47850000858306884765625), SC_(0.01619781384600798034797161476617322052959) }}, 
+      {{ SC_(1.47899997234344482421875), SC_(0.01667414829492702066558118850104769852234) }}, 
+      {{ SC_(1.4795000553131103515625), SC_(0.01715038148057877526958196636506777091166) }}, 
+      {{ SC_(1.480000019073486328125), SC_(0.01762628654041217983419823745186174695842) }}, 
+      {{ SC_(1.4804999828338623046875), SC_(0.01810197720920750584264288401814595315433) }}, 
+      {{ SC_(1.48099994659423828125), SC_(0.01857745367191608501032749919254492077255) }}, 
+      {{ SC_(1.48150002956390380859375), SC_(0.01905282940736078826428345835701187921344) }}, 
+      {{ SC_(1.48199999332427978515625), SC_(0.01952787796086124235035667894483836618612) }}, 
+      {{ SC_(1.48249995708465576171875), SC_(0.02000271286178744470899885416201568506841) }}, 
+      {{ SC_(1.4830000400543212890625), SC_(0.02047744743549734724595413353304339596842) }}, 
+      {{ SC_(1.483500003814697265625), SC_(0.02095185553229931162465762694540459626532) }}, 
+      {{ SC_(1.4839999675750732421875), SC_(0.02142605052796892258114323238639681979697) }}, 
+      {{ SC_(1.48450005054473876953125), SC_(0.02190014559479680012423194248738781677386) }}, 
+      {{ SC_(1.48500001430511474609375), SC_(0.02237391488729442162211914583054893402186) }}, 
+      {{ SC_(1.48549997806549072265625), SC_(0.02284747162804102549936129615381098290523) }}, 
+      {{ SC_(1.48600006103515625), SC_(0.02332092883665599429697089795154616828867) }}, 
+      {{ SC_(1.4865000247955322265625), SC_(0.02379406097107123019383531656762472857036) }}, 
+      {{ SC_(1.486999988555908203125), SC_(0.02426698110106619670748667123423481731356) }}, 
+      {{ SC_(1.4874999523162841796875), SC_(0.02473968940861605188874507129358473978676) }}, 
+      {{ SC_(1.48800003528594970703125), SC_(0.02521229871039613408736493282176431879518) }}, 
+      {{ SC_(1.48849999904632568359375), SC_(0.02568458386767842754083514014266512257621) }}, 
+      {{ SC_(1.48899996280670166015625), SC_(0.02615665774712770972822278823384134472911) }}, 
+      {{ SC_(1.4895000457763671875), SC_(0.02662863301366652729705485156514156921969) }}, 
+      {{ SC_(1.4900000095367431640625), SC_(0.02710028483017233972822145485920594582439) }}, 
+      {{ SC_(1.490499973297119140625), SC_(0.02757172591142969944611182410222535997026) }}, 
+      {{ SC_(1.49100005626678466796875), SC_(0.02804306877099953245333159632753441304838) }}, 
+      {{ SC_(1.49150002002716064453125), SC_(0.02851408887259174195648360999928964786226) }}, 
+      {{ SC_(1.49199998378753662109375), SC_(0.02898489877950229580989209771050696266479) }}, 
+      {{ SC_(1.49249994754791259765625), SC_(0.02945549867145914132386877573515702816588) }}, 
+      {{ SC_(1.493000030517578125), SC_(0.02992600086081766434888226036243716094018) }}, 
+      {{ SC_(1.4934999942779541015625), SC_(0.03039618121119222213671842099543294002594) }}, 
+      {{ SC_(1.493999958038330078125), SC_(0.03086615208450468685425685392189632212515) }}, 
+      {{ SC_(1.49450004100799560546875), SC_(0.03133602564265587447963502512063650812183) }}, 
+      {{ SC_(1.49500000476837158203125), SC_(0.0318055780482999943002748605694401059607) }}, 
+      {{ SC_(1.49549996852874755859375), SC_(0.03227492151277847133068637874480248065187) }}, 
+      {{ SC_(1.4960000514984130859375), SC_(0.03274416804792387851799905190703885999517) }}, 
+      {{ SC_(1.4965000152587890625), SC_(0.03321309411466675105852178534017282410089) }}, 
+      {{ SC_(1.4969999790191650390625), SC_(0.0336818117741548556801742840271873983606) }}, 
+      {{ SC_(1.49750006198883056640625), SC_(0.03415043288853741106672780407819814754177) }}, 
+      {{ SC_(1.49800002574920654296875), SC_(0.03461873421626057425769027729390348592731) }}, 
+      {{ SC_(1.49849998950958251953125), SC_(0.03508682766866380229344336380060751609967) }}, 
+      {{ SC_(1.49899995326995849609375), SC_(0.03555471342260717737839815920297809359884) }}, 
+      {{ SC_(1.4995000362396240234375), SC_(0.03602250314126230243963242841830489771559) }}
+   } };
diff --git a/src/boost/libs/math/test/digamma_small_data.ipp b/src/boost/libs/math/test/digamma_small_data.ipp
new file mode 100644
index 000000000..e4b924528
--- /dev/null
+++ b/src/boost/libs/math/test/digamma_small_data.ipp
@@ -0,0 +1,40 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 33> digamma_small_data = { {
+      {{ SC_(0.1690093176520690576580818742513656616211e-8), SC_(-591683355.0172646248558707395909205014789) }}, 
+      {{ SC_(0.2114990849122477811761200428009033203125e-8), SC_(-472815285.0570071002693788265718597340393) }}, 
+      {{ SC_(0.7099628440698779741069301962852478027344e-8), SC_(-140852442.1314070676912450420112690472767) }}, 
+      {{ SC_(0.136718796284185373224318027496337890625e-7), SC_(-73142832.95860873836229194739144163160831) }}, 
+      {{ SC_(0.1679341288252089725574478507041931152344e-7), SC_(-59547157.96538602413887273326920747232618) }}, 
+      {{ SC_(0.586768322818898013792932033538818359375e-7), SC_(-17042502.04007390142270552503694442817772) }}, 
+      {{ SC_(0.1140460881288163363933563232421875e-6), SC_(-8768385.503057815514505383587592316839882) }}, 
+      {{ SC_(0.1455586016163579188287258148193359375e-6), SC_(-6870085.813645861903628134604185829717845) }}, 
+      {{ SC_(0.38918477685001562349498271942138671875e-6), SC_(-2569474.152450422201931296992216788786447) }}, 
+      {{ SC_(0.623782625552848912775516510009765625e-6), SC_(-1603123.137920326054732670974252040029471) }}, 
+      {{ SC_(0.104669607026153244078159332275390625e-5), SC_(-955387.7506368215484908190151041836664367) }}, 
+      {{ SC_(0.2951089072666945867240428924560546875e-5), SC_(-338858.5294366592361422006155767583415332) }}, 
+      {{ SC_(0.4877083483734168112277984619140625e-5), SC_(-205041.1518328576044816818799248254570363) }}, 
+      {{ SC_(0.9066634447663091123104095458984375e-5), SC_(-110295.0867866920189113632829333848561728) }}, 
+      {{ SC_(0.2360353755648247897624969482421875e-4), SC_(-42367.10793974013680262660975431753380722) }}, 
+      {{ SC_(0.60817910707555711269378662109375e-4), SC_(-16443.10183188331524808941398664226054956) }}, 
+      {{ SC_(0.000119476739200763404369354248046875), SC_(-8370.407052088278326658500142471452559876) }}, 
+      {{ SC_(0.0002437086659483611583709716796875), SC_(-4103.836730163294582058528454940279573003) }}, 
+      {{ SC_(0.00047970912419259548187255859375), SC_(-2085.173007504666107151589993385624082421) }}, 
+      {{ SC_(0.000960788573138415813446044921875), SC_(-1041.387348674624002438653075235083900513) }}, 
+      {{ SC_(0.00113048148341476917266845703125), SC_(-885.1541983038739901476427277144444120955) }}, 
+      {{ SC_(0.0033707791008055210113525390625), SC_(-297.2390039349243537614805191705277299023) }}, 
+      {{ SC_(0.007697627879679203033447265625), SC_(-130.474775285766139271184373586979099581) }}, 
+      {{ SC_(0.0154774188995361328125), SC_(-65.1622965036480167454852163183367159499) }}, 
+      {{ SC_(0.0305807329714298248291015625), SC_(-33.22833448837103737169827250947288832931) }}, 
+      {{ SC_(0.0346831791102886199951171875), SC_(-29.35398677269140057359817914882516787732) }}, 
+      {{ SC_(0.09283597767353057861328125), SC_(-11.20575716299454988174075282116985360081) }}, 
+      {{ SC_(0.22476322948932647705078125), SC_(-4.707226986627979845318377740205580092891) }}, 
+      {{ SC_(0.4500701129436492919921875), SC_(-2.233123888225926352977853470362332872207) }}, 
+      {{ SC_(0.64851474761962890625), SC_(-1.375098345846253151137062991270963899568) }}, 
+      {{ SC_(1.14188635349273681640625), SC_(-0.3652988540135093192143191973421561168173) }}, 
+      {{ SC_(2.0095670223236083984375), SC_(0.4289360116443062870701048575669258219731) }}, 
+      {{ SC_(5.68704509735107421875), SC_(1.647702940606041030337068005600358865775) }}
+   } };
diff --git a/src/boost/libs/math/test/e_float_concept_check.cpp b/src/boost/libs/math/test/e_float_concept_check.cpp
new file mode 100644
index 000000000..74149fbc8
--- /dev/null
+++ b/src/boost/libs/math/test/e_float_concept_check.cpp
@@ -0,0 +1,40 @@
+
+//  Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that e_float meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_MPFR
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#define E_FLOAT_TYPE_EFX
+
+#include <boost/math/bindings/e_float.hpp>
+
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+void foo()
+{
+   instantiate(boost::math::ef::e_float());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<boost::math::ef::e_float>));
+}
+
+
diff --git a/src/boost/libs/math/test/ellint_d2_data.ipp b/src/boost/libs/math/test/ellint_d2_data.ipp
new file mode 100644
index 000000000..6181005a5
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_d2_data.ipp
@@ -0,0 +1,912 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 900> ellint_d2_data = {{
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(-7.8732233320862771639280819567039935203140e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(-7.8732233320862771686912327739413416253147e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(-7.8732233320862773040094892394481766236413e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(-7.8732233320862777061962311270009485876061e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(-7.8732233320862779863639076277990913817347e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(-7.8732233320862872988029644567747349940542e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(-7.8732233320863154738199654417598345858119e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(-7.8732233320863395751553299211683365778187e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(-7.8732233320867233837916108266938568745684e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(-7.8732233320874234918936314457509845665294e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(-7.8732233320895048075961800643068367799212e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(-7.8732233321119343970604024759286096900163e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(-7.8732233321563526074010427269286136824309e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(-7.8732233323284567598867407494011434890031e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(-7.8732233337276210668971915341274684374079e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(-7.8732233429833165735721604834460196035801e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(-7.8732233741407456045279716007492903731599e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(-7.8732235070659049826721771893117827793630e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(-7.8732240100423384592953702904358834225824e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(-7.8732260516631005030439216215704935088944e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(-7.8732270971523503035692113472253819905238e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(-7.8732568061991404297875494369487831261691e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(-7.8733979043836641416900536713300906266451e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(-7.8739291742767640768396325723497092471770e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(-7.8759800674545974072460670879983596961217e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(-7.8767699111095026342327081674718259137011e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(-7.8987518284015183880900122991006802628935e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(-8.0269335104926377301523131658299640546457e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(-8.5588199641614171029457261894174425351056e+00) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(-9.5887811073974781509819096986492335481206e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(-7.8536241199028447606481998927044443242379e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(-7.8536241199028447654099849623516320011347e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(-7.8536241199028449006894413583742788397395e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(-7.8536241199028453027608634514037298550959e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(-7.8536241199028455828482069239809137416614e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(-7.8536241199028548926170898096177741594499e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(-7.8536241199028830595554128252702619975820e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(-7.8536241199029071539801540729799856204226e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(-7.8536241199032908525662307761981174553050e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(-7.8536241199039907599248800693073983096345e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(-7.8536241199060714788476889345835975984184e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(-7.8536241199284946370316654999062188570463e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(-7.8536241199729001112516035986060087500198e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(-7.8536241201449549159755952954844380731418e+00) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(-7.8536241215437180378560362500270281262505e+00) }}, 
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+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(9.4446643087557080278530866116690553029335e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(9.4446643087557369484612800630952375372503e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(9.4446643087561975029916942634646142560160e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(9.4446643087570376038328053382259527862068e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(9.4446643087595350968160779214909989135012e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(9.4446643087864496788931674946690258695747e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(9.4446643088397496989331034704732617811403e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(9.4446643090462675821637787039541494589690e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(9.4446643107252070313425428546493484894575e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(9.4446643218316598173971002418367974424180e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.4446643592192893280790700347293300277721e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.4446645187239970671589587113303344134733e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.4446651222749681322915500983923125232215e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.4446675721356603747866167372900738103194e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.4446688266796309876378451516545267691378e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.4447044763102109281577015220680656575534e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.4448737883111953821606853033028368320740e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.4455112902702871403796733601903653719889e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.4479722775344934246590390378767424782094e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.4489200573761935617153062358948497113145e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.4752974562993978022477085479470007660241e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.6291103626986495537946117037922160698815e+00) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0267355316567780317788733241099718655876e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1503281067912779764273515689185898594968e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(9.6108406973889338055844671579084295261597e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(9.6108406973889338113535704558978826239277e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(9.6108406973889339752503332516910712236510e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(9.6108406973889344623768064749081539292232e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(9.6108406973889348017144274130308908468793e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(9.6108406973889460808917905682617365801205e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(9.6108406973889802063246685404255683482402e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(9.6108406973890093977357055341454431376106e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(9.6108406973894742647437691736668633829110e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(9.6108406973903222320064683888585293637160e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(9.6108406973928431106736475087645094755318e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(9.6108406974200097118407387026540657056288e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(9.6108406974738088153332420512016215417344e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(9.6108406976822604625306133961826174941486e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(9.6108406993769209357571737849968725766955e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(9.6108407105873708083249519954553738032763e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.6108407483250854991916492068365073384396e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.6108409093233416164715567647785185702091e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.6108415185257603954022309398094749087866e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.6108439913261158991419174058046461602226e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.6108452576172063862029464960665002526608e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.6108812410576712057507039833669631628670e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.6110521384058281672529762052450355196936e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.6116956091860575202038780621473066344686e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.6141796322202144275858191569455719714466e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.6151362810845327314537762056932361448658e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.6417599421159483793971631218230031812243e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.7969871367883594180454529616663577226964e+00) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0440717922431910758288156431279958593266e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1685666518693880867708987478704867925187e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.6900929544760856515495106577873229980469e-09), SC_(9.7037884508903213882929851769049358839975e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.1149908491224778117612004280090332031250e-09), SC_(9.7037884508903213941110367135676132683908e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.0996275525203600409440696239471435546875e-09), SC_(9.7037884508903215593983895974067479601679e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.3671879628418537322431802749633789062500e-08), SC_(9.7037884508903220506579111721216650275154e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.6793407553450379054993391036987304687500e-08), SC_(9.7037884508903223928746587270744318168159e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(5.8676832281889801379293203353881835937500e-08), SC_(9.7037884508903337677507530528421825718405e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1404608812881633639335632324218750000000e-07), SC_(9.7037884508903681827225328366973671008911e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.4555860161635791882872581481933593750000e-07), SC_(9.7037884508903976218095223731494824765825e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.8918472000659676268696784973144531250000e-07), SC_(9.7037884508908664330044182949358841675651e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.2378262555284891277551651000976562500000e-07), SC_(9.7037884508917215948867694314283391601802e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.0466960702615324407815933227539062500000e-06), SC_(9.7037884508942638620721105162237491820551e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.9510883905459195375442504882812500000000e-06), SC_(9.7037884509216609595935188150740736746088e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.8770834837341681122779846191406250000000e-06), SC_(9.7037884509759165242069493989180921991259e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.0666326286736875772476196289062500000000e-06), SC_(9.7037884511861367895849411368335869294642e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.3603533918503671884536743164062500000000e-05), SC_(9.7037884528951756923562620178125231568078e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.0817910707555711269378662109375000000000e-05), SC_(9.7037884642007411742909681304118303685862e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1947672464884817600250244140625000000000e-04), SC_(9.7037885022586433476630918901822530697264e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.4370866594836115837097167968750000000000e-04), SC_(9.7037886646228970182664942687338933229896e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.7970912419259548187255859375000000000000e-04), SC_(9.7037892789941232733647420257807653452696e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.6078845672309398651123046875000000000000e-04), SC_(9.7037917727750709683579317258388292040361e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1304812505841255187988281250000000000000e-03), SC_(9.7037930498100669383100334038643335965433e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.3707786351442337036132812500000000000000e-03), SC_(9.7038293385532813090566554404190669072476e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.6976269483566284179687500000000000000000e-03), SC_(9.7040016858748458327704247706248667993220e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.5477418899536132812500000000000000000000e-02), SC_(9.7046506159993990770373472738156154701166e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.0580729246139526367187500000000000000000e-02), SC_(9.7071557115847027366419558336421844257613e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.4683167934417724609375000000000000000000e-02), SC_(9.7081204748947710715456692851594495500141e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(9.2835962772369384765625000000000000000000e-02), SC_(9.7349697316093177706242812847197284550031e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.2476321458816528320312500000000000000000e-01), SC_(9.8915033186482039632092471512404270101860e+00) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.5007002353668212890625000000000000000000e-01), SC_(1.0540483903359546719391352849008609099627e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.4851474761962890625000000000000000000000e-01), SC_(1.1794772549994821404136319306287886692241e+01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_d_data.ipp b/src/boost/libs/math/test/ellint_d_data.ipp
new file mode 100644
index 000000000..9ad4bed5f
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_d_data.ipp
@@ -0,0 +1,137 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 125> ellint_d_data = {{
+      {{ SC_(4.2663944255221095139880438282681452852288e-38), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.3389875064733255949510523157465792097624e-38), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.7921979577002392819066727539424713436648e-37), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.4512676287190265187195015459442674743531e-37), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(4.2392520589952778292218109035283862521189e-37), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.4812114889405784468736366861690401420283e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8789280101828269933933538688473339212905e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.6744156874811116796026560527902602218215e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(9.8244035367228782653000869911025384279908e-36), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.5746487252952314973384428880024117913426e-35), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.6422323503289224196086060608918729266077e-35), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.4495944292904732914191517413498144464379e-35), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2311489573814341319544204090949106338265e-34), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.2887398472838038330057192707706355128408e-34), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.9583696426770119981069373748330312185926e-34), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.5352599070212180792552619578916321967917e-33), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.0160165490986222703441684853142834449242e-33), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(6.1520716425673394852833344239683595628531e-33), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2109560766507188663653833967088977743043e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.4253710454287323137229648006785720065155e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8537358805477591602206220040490736095836e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(8.5090415533424860056332294220983720100606e-32), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.9431542280109646674527422453175374400060e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.9070498187433184335260912530870539605481e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.7196613617370549464919805877629024811367e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(8.7552624808566836627123737271634031453295e-31), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.3435091721496148991987689601065306730589e-30), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.6738212134529469261911252184933164143771e-30), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.1361364677759652907835274279827550435899e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.6370813787404687038594586907284681504629e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8825261069960082390223924268185054462807e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.0728585475046610081875684612374186273238e-29), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.4356117731880643485071258941326014885980e-28), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.2466040208825159779152839659481167643203e-28), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.7375930334108261164074603103938929758309e-28), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.3245902896893982860544095592466306731181e-27), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8954669599230807832089351330086677837889e-27), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(6.0695358641133080853435831456269630175939e-27), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2662921591612033303141027402072318129946e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.9434383424000668877278074713436137825997e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(4.2799894931798877068802524474594217761617e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(9.2950716253189888176477484235223083743234e-26), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.0709003725124171036710703499069275834027e-25), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8150895833264416782020239716398867999003e-25), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(7.6478191216527194631629231548823578349522e-25), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.0024800996198830867522948962542556853444e-24), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.1995228016850816982979054181734511648483e-24), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.5631512332580644253218241905448258194378e-24), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.1108934904826783054735703764996385817243e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.8512148375723549892841487890862966353422e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(4.6526990946386309210805977605064642776966e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(9.2149101636498941967954712901293229387889e-23), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.8456129154033271225706145892602252911452e-22), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.1229228616207472188092879674965046676860e-22), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(5.8963094078559887344396375579401448074890e-22), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(1.2045551098426373231005604346952053695929e-21), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(2.8044880122014168411000568752189376908746e-21), SC_(7.8539816339744830961566084581987572104929e-01) }}, 
+      {{ SC_(3.9772087853642667934593991994202122342017e-21), SC_(7.8539816339744830961566084581987572104930e-01) }}, 
+      {{ SC_(7.9362680648663837570369519042179362600109e-21), SC_(7.8539816339744830961566084581987572104931e-01) }}, 
+      {{ SC_(1.7644208367805034671488132770600376630910e-20), SC_(7.8539816339744830961566084581987572104938e-01) }}, 
+      {{ SC_(4.6242472319617178596977673937784558688691e-20), SC_(7.8539816339744830961566084581987572104992e-01) }}, 
+      {{ SC_(9.7430735069871336508356019640020306837869e-20), SC_(7.8539816339744830961566084581987572105209e-01) }}, 
+      {{ SC_(1.1187152495685138224568687392856958240372e-19), SC_(7.8539816339744830961566084581987572105298e-01) }}, 
+      {{ SC_(2.8548132929282309106075107840716498230904e-19), SC_(7.8539816339744830961566084581987572107330e-01) }}, 
+      {{ SC_(5.5377694738409134089145505197571139888169e-19), SC_(7.8539816339744830961566084581987572113961e-01) }}, 
+      {{ SC_(1.6240731797968136883997258834710919472855e-18), SC_(7.8539816339744830961566084581987572182613e-01) }}, 
+      {{ SC_(1.8148177203290916581143732422276571014663e-18), SC_(7.8539816339744830961566084581987572201933e-01) }}, 
+      {{ SC_(3.9867888681014291814633243582477462041425e-18), SC_(7.8539816339744830961566084581987572573060e-01) }}, 
+      {{ SC_(7.6128806670154353271329217278662326862104e-18), SC_(7.8539816339744830961566084581987573811873e-01) }}, 
+      {{ SC_(2.7673254601067636196387589109235705109313e-17), SC_(7.8539816339744830961566084581987594659867e-01) }}, 
+      {{ SC_(5.0611118570950902953442529508265579352155e-17), SC_(7.8539816339744830961566084581987647546899e-01) }}, 
+      {{ SC_(1.0113594566040027405984247366177442017943e-16), SC_(7.8539816339744830961566084581987873358517e-01) }}, 
+      {{ SC_(1.8816376349089212506593415952238501631655e-16), SC_(7.8539816339744830961566084581988614885980e-01) }}, 
+      {{ SC_(2.4984073224301002122405002126015460817143e-16), SC_(7.8539816339744830961566084581989410537210e-01) }}, 
+      {{ SC_(5.8490949612227411541498511837744445074350e-16), SC_(7.8539816339744830961566084581997648344709e-01) }}, 
+      {{ SC_(1.5665247555087316588817714091419475153089e-15), SC_(7.8539816339744830961566084582059848365309e-01) }}, 
+      {{ SC_(3.4642902153707300083596010153996758162975e-15), SC_(7.8539816339744830961566084582341039763841e-01) }}, 
+      {{ SC_(5.2956347396408351424490490444441093131900e-15), SC_(7.8539816339744830961566084582813528640710e-01) }}, 
+      {{ SC_(7.3501792217760264502857125989976339042187e-15), SC_(7.8539816339744830961566084583578743660656e-01) }}, 
+      {{ SC_(2.3641251987744499318822022360109258443117e-14), SC_(7.8539816339744830961566084598448794912308e-01) }}, 
+      {{ SC_(4.0891565849555944200943713440210558474064e-14), SC_(7.8539816339744830961566084631235575884229e-01) }}, 
+      {{ SC_(6.3999803720515835436799534363672137260437e-14), SC_(7.8539816339744830961566084702623990047689e-01) }}, 
+      {{ SC_(1.5706500770124032229091426415834575891495e-13), SC_(7.8539816339744830961566085308561866771197e-01) }}, 
+      {{ SC_(2.7516964401508303694754431489855051040649e-13), SC_(7.8539816339744830961566086812076559497826e-01) }}, 
+      {{ SC_(8.0286406863028236813306648400612175464630e-13), SC_(7.8539816339744830961566103566751143194592e-01) }}, 
+      {{ SC_(9.5607549654985746201418805867433547973633e-13), SC_(7.8539816339744830961566111503876275690977e-01) }}, 
+      {{ SC_(3.2654495427109075933458370855078101158142e-12), SC_(7.8539816339744830961566398637994160269438e-01) }}, 
+      {{ SC_(3.7705498445728125034293043427169322967529e-12), SC_(7.8539816339744830961566503308559563078309e-01) }}, 
+      {{ SC_(8.6356338746540473039203789085149765014648e-12), SC_(7.8539816339744830961568280972664569106292e-01) }}, 
+      {{ SC_(2.0499733854872914662337279878556728363037e-11), SC_(7.8539816339744830961578461644787487937290e-01) }}, 
+      {{ SC_(4.3357845092018010291212704032659530639648e-11), SC_(7.8539816339744830961621452287699258957483e-01) }}, 
+      {{ SC_(8.4866141891737356672820169478654861450195e-11), SC_(7.8539816339744830961778208708670070856342e-01) }}, 
+      {{ SC_(1.6828838322879846600699238479137420654297e-10), SC_(7.8539816339744830962400206292829514799691e-01) }}, 
+      {{ SC_(3.4635161405560666025849059224128723144531e-10), SC_(7.8539816339744830965099181743131229916707e-01) }}, 
+      {{ SC_(7.6662409753680549329146742820739746093750e-10), SC_(7.8539816339744830978875646714884389088037e-01) }}, 
+      {{ SC_(1.6707693006878798769321292638778686523438e-09), SC_(7.8539816339744831043781664154104751347691e-01) }}, 
+      {{ SC_(3.1839402225841695326380431652069091796875e-09), SC_(7.8539816339744831260139378868235385099709e-01) }}, 
+      {{ SC_(7.1558154957074293633922934532165527343750e-09), SC_(7.8539816339744832469698301934815598111797e-01) }}, 
+      {{ SC_(1.3073432114651950541883707046508789062500e-08), SC_(7.8539816339744835995417372517470884284573e-01) }}, 
+      {{ SC_(2.6934309005355316912755370140075683593750e-08), SC_(7.8539816339744852328038459980382086592019e-01) }}, 
+      {{ SC_(3.8028503013265435583889484405517578125000e-08), SC_(7.8539816339744873554701271019341983929008e-01) }}, 
+      {{ SC_(1.0167207165068248286843299865722656250000e-07), SC_(7.8539816339745135417536187160390378310224e-01) }}, 
+      {{ SC_(2.0023617253173142671585083007812500000000e-07), SC_(7.8539816339746011842796052724712271644288e-01) }}, 
+      {{ SC_(2.3909046831249725073575973510742187500000e-07), SC_(7.8539816339746514587762180156897968778888e-01) }}, 
+      {{ SC_(7.8921220847405493259429931640625000000000e-07), SC_(7.8539816339763175582357795854647957600375e-01) }}, 
+      {{ SC_(1.6314543245243839919567108154296875000000e-06), SC_(7.8539816339823222824983094934352376998761e-01) }}, 
+      {{ SC_(2.2175054255058057606220245361328125000000e-06), SC_(7.8539816339889658293915756912068980593900e-01) }}, 
+      {{ SC_(6.2712133512832224369049072265625000000000e-06), SC_(7.8539816340903139615883171176820699840499e-01) }}, 
+      {{ SC_(8.5372739704325795173645019531250000000000e-06), SC_(7.8539816341891472784119968987727025771167e-01) }}, 
+      {{ SC_(2.2217296645976603031158447265625000000000e-05), SC_(7.8539816354282794549663202730123168024340e-01) }}, 
+      {{ SC_(4.5726439566351473331451416015625000000000e-05), SC_(7.8539816401327133564997472904368327814099e-01) }}, 
+      {{ SC_(1.0827131336554884910583496093750000000000e-04), SC_(7.8539816685006179236394845105448892170857e-01) }}, 
+      {{ SC_(2.3922655964270234107971191406250000000000e-04), SC_(7.8539818025288287477427494950883323315577e-01) }}, 
+      {{ SC_(3.8421736098825931549072265625000000000000e-04), SC_(7.8539820687600897663945355819075486097120e-01) }}, 
+      {{ SC_(6.5448507666587829589843750000000000000000e-04), SC_(7.8539828955718157445397499256862169611659e-01) }}, 
+      {{ SC_(1.8327706493437290191650390625000000000000e-03), SC_(7.8539915272089858042522523302460312462001e-01) }}, 
+      {{ SC_(3.0962256714701652526855468750000000000000e-03), SC_(7.8540098690507738836633305012117939022168e-01) }}, 
+      {{ SC_(7.0631857961416244506835937500000000000000e-03), SC_(7.8541285725927851977195194874435983132497e-01) }}, 
+      {{ SC_(9.5610283315181732177734375000000000000000e-03), SC_(7.8542508836402941290553361622690588558840e-01) }}, 
+      {{ SC_(1.5902712941169738769531250000000000000000e-02), SC_(7.8547265927495354595996006013411494269668e-01) }}, 
+      {{ SC_(5.4727092385292053222656250000000000000000e-02), SC_(7.8628193465923633664032835233150751395515e-01) }}, 
+      {{ SC_(1.1382785439491271972656250000000000000000e-01), SC_(7.8924544782468621209125861832080985224381e-01) }}, 
+      {{ SC_(1.5688687562942504882812500000000000000000e-01), SC_(7.9276099484507970091111212677565057034603e-01) }}, 
+      {{ SC_(4.5521020889282226562500000000000000000000e-01), SC_(8.5576208914286583702013429388327762089409e-01) }}, 
+      {{ SC_(7.5297856330871582031250000000000000000000e-01), SC_(1.0569957364413754392878890709901655604171e+00) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_e2_data.ipp b/src/boost/libs/math/test/ellint_e2_data.ipp
new file mode 100644
index 000000000..bae46bca1
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_e2_data.ipp
@@ -0,0 +1,532 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of test data contains in order:
+//
+// k, phi, E(k, phi)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 520> ellint_e2_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.804919183254241943359375e0), SC_(0.17721905416489978459933452744691987573693030723399e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.74602639675140380859375e0), SC_(0.17721906263793616232304803862551613935165980878975e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.72904598712921142578125e0), SC_(0.17721906496143189532808590572077500756745196250994e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.62323606014251708984375e0), SC_(0.17721907823458326176536911566374461949290266081915e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.5579319000244140625e0), SC_(0.17721908538996504890695781731051446713497872352528e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.44300353527069091796875e0), SC_(0.1772190960611723703532438177387763930589137687723e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(-0.38366591930389404296875e0), SC_(0.17721910061149527140815880383922381002724195459473e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.9376299381256103515625e-1), SC_(0.17721911345080004258530792787497396150296565903888e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.944411754608154296875e-1), SC_(0.17721911343895994071624688564628016634872782068401e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.264718532562255859375e0), SC_(0.17721910776580442894609156234461709334349303324512e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.62944734096527099609375e0), SC_(0.17721907751280664212690267651483481595911639313105e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.67001712322235107421875e0), SC_(0.17721907262237245229946682518231598438599636326697e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.81158387660980224609375e0), SC_(0.1772190531655048767532217861236813247332269413991e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.826751708984375e0), SC_(0.17721905086031437581845682018005163376219526346493e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.91501367092132568359375e0), SC_(0.17721903659952045902730471028534006712649156285481e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.92977702617645263671875e0), SC_(0.17721903407305898397789671421686956699622188608929e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.93538987636566162109375e0), SC_(0.17721903310191937273874074422793996165770412692148e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.93773555755615234375e0), SC_(0.17721903269433608619814655577621926258964232521032e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.98576259613037109375e0), SC_(0.17721902412478400771222500977665176615786698940728e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.99292266368865966796875e0), SC_(0.17721902281054485597950865679003652002775579957175e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(-0.804919183254241943359375e0), SC_(0.22177274667911356404114891574256878749693907344194e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(-0.74602639675140380859375e0), SC_(0.22177276328387303450482024510234767179030032679487e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(-0.72904598712921142578125e0), SC_(0.2217727678372686367339028586754168902231177349864e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(-0.62323606014251708984375e0), SC_(0.22177279384889650054782811230773624538568740820856e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(-0.5579319000244140625e0), SC_(0.22177280787142304325383561406780984188050064485493e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(-0.44300353527069091796875e0), SC_(0.22177282878397316166435787421159323409852657193959e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(-0.38366591930389404296875e0), SC_(0.22177283770131950245199600240560529548081991406878e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.9376299381256103515625e-1), SC_(0.2217728628627254479372625258375135600386491716262e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.944411754608154296875e-1), SC_(0.2217728628395221979258299938047197957597496164853e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.264718532562255859375e0), SC_(0.22177285172174219060847672057602083161874684079641e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.62944734096527099609375e0), SC_(0.22177279243441823271547938764610382865435171389572e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.67001712322235107421875e0), SC_(0.22177278285054864598218183902335374842302009015249e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.81158387660980224609375e0), SC_(0.22177274472058160774429082218212375574848674857853e-2) }}, 
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+      {{ SC_(0.10074598388671875e4), SC_(0.93773555755615234375e0), SC_(0.71898356440546660369364312811873716877046903540745e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.98576259613037109375e0), SC_(0.66558630336818747011593267003329852836650815741705e3) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.99292266368865966796875e0), SC_(0.6548786829121203110560807170365229948244134922981e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.804919183254241943359375e0), SC_(0.95992720290264897479760554571647114770157610887996e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.74602639675140380859375e0), SC_(0.99741366529362017349163653479322848619622124868772e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.72904598712921142578125e0), SC_(0.10072278878934483167286843735137660835902486784055e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.62323606014251708984375e0), SC_(0.10602110806127832608392589101187996342688647189112e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.5579319000244140625e0), SC_(0.10869529954610434278852140581154818972542686423743e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.44300353527069091796875e0), SC_(0.11249233882184205470868187837372292890877647671181e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(-0.38366591930389404296875e0), SC_(0.11405061649275106998721240053724233425466223964298e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.9376299381256103515625e-1), SC_(0.11827870772689532014486419251476519345293661688085e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.944411754608154296875e-1), SC_(0.11827491403552705968358829702474865775810482378628e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.264718532562255859375e0), SC_(0.11643556929058415420471543503560945498245581125436e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.62944734096527099609375e0), SC_(0.10574492529652112224851625390587579547328457881061e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.67001712322235107421875e0), SC_(0.1038396462932344155293121667046538419874167990145e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.81158387660980224609375e0), SC_(0.9553066699471665679840089770219957164232252629554e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.826751708984375e0), SC_(0.94446573985220084327197598058015000573173775032994e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.91501367092132568359375e0), SC_(0.86996356635663675306873109547180307652983494815843e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.92977702617645263671875e0), SC_(0.85488052815230820219522803855058047921692647892349e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.93538987636566162109375e0), SC_(0.84886217610355647741057825617131638665389927335333e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.93773555755615234375e0), SC_(0.84629542044995161715099588574641450818752524118888e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.98576259613037109375e0), SC_(0.78354531056875687291420826162420650224843893529921e3) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.99292266368865966796875e0), SC_(0.77096378731739644110407751882818742444499646261653e3) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_e_data.ipp b/src/boost/libs/math/test/ellint_e_data.ipp
new file mode 100644
index 000000000..03b9c710f
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_e_data.ipp
@@ -0,0 +1,112 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of test data contains in order:
+//
+// k, E(k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> ellint_e_data = {{
+      {{ SC_(-0.990433037281036376953125e0), SC_(0.10274527688571687030049782227296053357094496206279e1) }}, 
+      {{ SC_(-0.936334311962127685546875e0), SC_(0.11232874555917022066938321555637623562213676975972e1) }}, 
+      {{ SC_(-0.931107819080352783203125e0), SC_(0.1130760221755419903369153157619439589360779303926e1) }}, 
+      {{ SC_(-0.928576648235321044921875e0), SC_(0.11343097282371636644057123410674810478126636794066e1) }}, 
+      {{ SC_(-0.92711746692657470703125e0), SC_(0.11363362574688624051162518398981635242155496915255e1) }}, 
+      {{ SC_(-0.907657206058502197265625e0), SC_(0.11621185270599645325148449388373607697900140479452e1) }}, 
+      {{ SC_(-0.89756715297698974609375e0), SC_(0.11746803765109846934010357339330910078574216811115e1) }}, 
+      {{ SC_(-0.80573642253875732421875e0), SC_(0.12711544492641534140326897830960020400731161482408e1) }}, 
+      {{ SC_(-0.804919183254241943359375e0), SC_(0.1271899578518333585916968732627512791380932403316e1) }}, 
+      {{ SC_(-0.780276477336883544921875e0), SC_(0.12936183519259955902237796585053994588791953787341e1) }}, 
+      {{ SC_(-0.775070965290069580078125e0), SC_(0.12980290901572191577411456044089492043970943779076e1) }}, 
+      {{ SC_(-0.7496345043182373046875e0), SC_(0.13187607273206970520631617642065752154074679201729e1) }}, 
+      {{ SC_(-0.74820673465728759765625e0), SC_(0.13198856849340247002745787630036800286336929689325e1) }}, 
+      {{ SC_(-0.74602639675140380859375e0), SC_(0.13215959480936459650266993732312887701493706168114e1) }}, 
+      {{ SC_(-0.72904598712921142578125e0), SC_(0.1334606672267782799453143920126631207219848911468e1) }}, 
+      {{ SC_(-0.7162272930145263671875e0), SC_(0.13440793050791416705713681443513787752467694981452e1) }}, 
+      {{ SC_(-0.701772034168243408203125e0), SC_(0.13544180205342472921449637366285993011101451511219e1) }}, 
+      {{ SC_(-0.68477380275726318359375e0), SC_(0.13661308406125643621284019270477708148951227020526e1) }}, 
+      {{ SC_(-0.657626628875732421875e0), SC_(0.13838947645626975911149829417421592164301145093627e1) }}, 
+      {{ SC_(-0.652269661426544189453125e0), SC_(0.13872692599655636614951215534059306447757898114989e1) }}, 
+      {{ SC_(-0.6262547969818115234375e0), SC_(0.14030728449607783731169275509403934977874920947839e1) }}, 
+      {{ SC_(-0.62323606014251708984375e0), SC_(0.14048456682760981684618618684460963872624120364616e1) }}, 
+      {{ SC_(-0.57958185672760009765625e0), SC_(0.14291386904685383227954283815576245068501134204508e1) }}, 
+      {{ SC_(-0.576151371002197265625e0), SC_(0.14309448152636963724388781094697116200713399276732e1) }}, 
+      {{ SC_(-0.5579319000244140625e0), SC_(0.14402965087704791609397947280292073414645780530405e1) }}, 
+      {{ SC_(-0.446154057979583740234375e0), SC_(0.14894386503626442042107428737827539093660806612699e1) }}, 
+      {{ SC_(-0.44300353527069091796875e0), SC_(0.14906320545924202935802686800501318065294882015735e1) }}, 
+      {{ SC_(-0.40594112873077392578125e0), SC_(0.15039335802932226988591218103108193186540888213994e1) }}, 
+      {{ SC_(-0.396173775196075439453125e0), SC_(0.15072169743011592499372913974729141564215181659934e1) }}, 
+      {{ SC_(-0.38366591930389404296875e0), SC_(0.15112892448422190697630083347423467639448624581727e1) }}, 
+      {{ SC_(-0.36689913272857666015625e0), SC_(0.15165180033802033267632053479981021035471425681416e1) }}, 
+      {{ SC_(-0.365801036357879638671875e0), SC_(0.15168513413633160947387236074965552423019640205414e1) }}, 
+      {{ SC_(-0.277411997318267822265625e0), SC_(0.15401245425176709136660196900048700278424091275112e1) }}, 
+      {{ SC_(-0.236883103847503662109375e0), SC_(0.15485231276601733576918931368003657825692622988276e1) }}, 
+      {{ SC_(-0.215545952320098876953125e0), SC_(0.15523894121876553934587790103948024781080753117537e1) }}, 
+      {{ SC_(-0.202522933483123779296875e0), SC_(0.15545635291592032109785456524323662491832287557881e1) }}, 
+      {{ SC_(-0.18253767490386962890625e0), SC_(0.15576286893796261035306290689920363346745725969978e1) }}, 
+      {{ SC_(-0.156477451324462890625e0), SC_(0.15611364139446355493431072334668884516455428910749e1) }}, 
+      {{ SC_(-0.1558246612548828125e0), SC_(0.15612172160025555618286865486857507482242942668515e1) }}, 
+      {{ SC_(-0.12251126766204833984375e0), SC_(0.15648856105816674567926606395168937481071020785374e1) }}, 
+      {{ SC_(-0.1088275909423828125e0), SC_(0.15661350376732836367309274463594953937245200605844e1) }}, 
+      {{ SC_(-0.8402168750762939453125e-1), SC_(0.15680203305860144668144643526811660961420870159842e1) }}, 
+      {{ SC_(-0.5048263072967529296875e-1), SC_(0.15697950560238758069422088665702687900822920595852e1) }}, 
+      {{ SC_(-0.29248714447021484375e-1), SC_(0.15704603238122883636275639829068215175843565484093e1) }}, 
+      {{ SC_(-0.2486217021942138671875e-1), SC_(0.1570553560549795220596952208506368318845323442966e1) }}, 
+      {{ SC_(-0.2047121524810791015625e-1), SC_(0.15706317452006442392207295085961102343692070947481e1) }}, 
+      {{ SC_(-0.18821895122528076171875e-1), SC_(0.15706571985088185541190068658162634466459956376283e1) }}, 
+      {{ SC_(0.73254108428955078125e-2), SC_(0.15707752537045378829148682574129984681356739471373e1) }}, 
+      {{ SC_(0.9376299381256103515625e-1), SC_(0.15673382012803800695565201533706558176677595081402e1) }}, 
+      {{ SC_(0.944411754608154296875e-1), SC_(0.15672879111272468454088900653008917791981439593238e1) }}, 
+      {{ SC_(0.264718532562255859375e0), SC_(0.15429050287765040115345161487328955754762740575513e1) }}, 
+      {{ SC_(0.27952671051025390625e0), SC_(0.15396478942459482760618960796407428547408640525839e1) }}, 
+      {{ SC_(0.29262602329254150390625e0), SC_(0.15366093920760526747388381843200711024138982306603e1) }}, 
+      {{ SC_(0.3109557628631591796875e0), SC_(0.15321071618558340305908384979951601020818799999842e1) }}, 
+      {{ SC_(0.31148135662078857421875e0), SC_(0.15319737203884180398267043979026904916868658518393e1) }}, 
+      {{ SC_(0.32721102237701416015625e0), SC_(0.1527867114331003738198228458599913043176805971218e1) }}, 
+      {{ SC_(0.3574702739715576171875e0), SC_(0.15193440688380299383044814920714973708033404406654e1) }}, 
+      {{ SC_(0.362719058990478515625e0), SC_(0.15177809660808721467844113827968123756890771957761e1) }}, 
+      {{ SC_(0.3896572589874267578125e0), SC_(0.15093570468318824817504413386396057198219992161732e1) }}, 
+      {{ SC_(0.4120922088623046875e0), SC_(0.15018188427341099768691902236893549315641407909401e1) }}, 
+      {{ SC_(0.41872966289520263671875e0), SC_(0.14994958178213154496366968552961386017760898588045e1) }}, 
+      {{ SC_(0.45167791843414306640625e0), SC_(0.1487322085908655313535535255202869925685698085035e1) }}, 
+      {{ SC_(0.48129451274871826171875e0), SC_(0.14754407459744073247384176419011374260929941397226e1) }}, 
+      {{ SC_(0.4862649440765380859375e0), SC_(0.14733570928853164419583523432188100088746641413847e1) }}, 
+      {{ SC_(0.50937330722808837890625e0), SC_(0.14633222267462579060234013375472616462719440305596e1) }}, 
+      {{ SC_(0.5154802799224853515625e0), SC_(0.14605730543776299802897695844262830217129367088168e1) }}, 
+      {{ SC_(0.52750003337860107421875e0), SC_(0.1455040905739579018637680781037806414611373457245e1) }}, 
+      {{ SC_(0.53103363513946533203125e0), SC_(0.14533836180900849164859243315111429017381139244939e1) }}, 
+      {{ SC_(0.58441460132598876953125e0), SC_(0.14265695055008370758871995090190851074198707889523e1) }}, 
+      {{ SC_(0.5879499912261962890625e0), SC_(0.14246715204117826383644822612160764733188324494824e1) }}, 
+      {{ SC_(0.59039986133575439453125e0), SC_(0.14233470653300894642788935610227647487095507501819e1) }}, 
+      {{ SC_(0.59455978870391845703125e0), SC_(0.14210806804871026734537311084007732025147240364441e1) }}, 
+      {{ SC_(0.59585726261138916015625e0), SC_(0.14203692855345104085630580991694310940176283484347e1) }}, 
+      {{ SC_(0.5962116718292236328125e0), SC_(0.14201745910377376893163001298577620388569425640087e1) }}, 
+      {{ SC_(0.6005609035491943359375e0), SC_(0.14177721978271857966949913233824083454479033587509e1) }}, 
+      {{ SC_(0.6150619983673095703125e0), SC_(0.1409584186264459097822607166118300162769330850531e1) }}, 
+      {{ SC_(0.62944734096527099609375e0), SC_(0.14011843899700989964492170135501929645905818746914e1) }}, 
+      {{ SC_(0.64380657672882080078125e0), SC_(0.13925155171987190379716348493447778489398983557681e1) }}, 
+      {{ SC_(0.6469156742095947265625e0), SC_(0.13906001623565653310360026300062173208737677732474e1) }}, 
+      {{ SC_(0.67001712322235107421875e0), SC_(0.13759265375091920908763740804480465836032745124162e1) }}, 
+      {{ SC_(0.6982586383819580078125e0), SC_(0.13568776608794218001220481427238400798591422244367e1) }}, 
+      {{ SC_(0.74485766887664794921875e0), SC_(0.13225089163569380724816605958889295619432742743828e1) }}, 
+      {{ SC_(0.75686132907867431640625e0), SC_(0.13130049536402767623871717650724612640189448665164e1) }}, 
+      {{ SC_(0.81158387660980224609375e0), SC_(0.1265774005474254141411822958784348996686269275959e1) }}, 
+      {{ SC_(0.826751708984375e0), SC_(0.1251401815196169298547115798872087290243528044558e1) }}, 
+      {{ SC_(0.83147108554840087890625e0), SC_(0.12468018231406093242228210016848902253352539970597e1) }}, 
+      {{ SC_(0.84174954891204833984375e0), SC_(0.12365605223473625325793146444569526624443067779814e1) }}, 
+      {{ SC_(0.8679864406585693359375e0), SC_(0.12089081947735379320176271312129936213684657310011e1) }}, 
+      {{ SC_(0.90044414997100830078125e0), SC_(0.11711493603723543295821235205304820794673798105369e1) }}, 
+      {{ SC_(0.91433393955230712890625e0), SC_(0.11535184098186861192678956506006329721663192849427e1) }}, 
+      {{ SC_(0.91501367092132568359375e0), SC_(0.11526291690338582866360141839353650400854743647163e1) }}, 
+      {{ SC_(0.918984889984130859375e0), SC_(0.11473810486945145917917969281137061723789053926309e1) }}, 
+      {{ SC_(0.92977702617645263671875e0), SC_(0.11326318918571500732674050143237850082646730427556e1) }}, 
+      {{ SC_(0.93538987636566162109375e0), SC_(0.11246526120138518224375085002257139975074424198895e1) }}, 
+      {{ SC_(0.93773555755615234375e0), SC_(0.11212495302257932905970525402254900901444230096575e1) }}, 
+      {{ SC_(0.94118559360504150390625e0), SC_(0.11161664223439311396943776225269812587817500317889e1) }}, 
+      {{ SC_(0.96221935749053955078125e0), SC_(0.10828018699366994143027254777963854661530573064246e1) }}, 
+      {{ SC_(0.98576259613037109375e0), SC_(0.10380503716235214587344268369403753352254592216066e1) }}, 
+      {{ SC_(0.9881370067596435546875e0), SC_(0.10327762472475272053177375153237179387280796303267e1) }}, 
+      {{ SC_(0.99292266368865966796875e0), SC_(0.10213677605130466359178501196768639821158116338631e1) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_f_data.ipp b/src/boost/libs/math/test/ellint_f_data.ipp
new file mode 100644
index 000000000..b410f6048
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_f_data.ipp
@@ -0,0 +1,624 @@
+//  Copyright (c) 2006 John Maddock
+//
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// There are three values in each row:
+//
+// phi, k, ellint_1(k, phi)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 610> ellint_f_data = {{
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.12698681652545928955078125e0), SC_(0.17721911576221833285284471505772299979929420100157e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.135477006435394287109375e0), SC_(0.17721911596893097495385621130075639520810631802367e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.22103404998779296875e0), SC_(0.17721911879842626333735727252300568988042608181058e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.308167040348052978515625e0), SC_(0.17721912307586304284414392153484736630244171106967e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.6323592662811279296875e0), SC_(0.17721915136072145749706721763844561838990574996748e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.814723670482635498046875e0), SC_(0.17721917584088468746420484903332375635064689539385e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.835008561611175537109375e0), SC_(0.17721917894520936923412246849940510596766888342397e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.905791938304901123046875e0), SC_(0.17721919037560789892218093103766859258846695998999e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.9133758544921875e0), SC_(0.17721919165542367899383364723376572314588337429883e-2) }}, 
+      {{ SC_(0.177219114266335964202880859375e-2), SC_(0.968867778778076171875e0), SC_(0.1772192013446002825503764323931321827613955432354e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.12698681652545928955078125e0), SC_(0.22177286739245139979235205992077921703857874992614e-2) }}, 
+      {{ SC_(0.22177286446094512939453125e-2), SC_(0.135477006435394287109375e0), SC_(0.22177286779754970704335950293621400375492832466137e-2) }}, 
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+      {{ SC_(0.10074598388671875e4), SC_(0.9133758544921875e0), SC_(0.15030813318756246891355137019045501942292731438192e4) }}, 
+      {{ SC_(0.10074598388671875e4), SC_(0.968867778778076171875e0), SC_(0.18031683136020447255217816635153572296860929726591e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.12698681652545928955078125e0), SC_(0.11902165793870267987435741776753047875920265751213e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.135477006435394287109375e0), SC_(0.11908897391528240120679535097563994079186387409261e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.22103404998779296875e0), SC_(0.12002804010608050581829575008183192405062961123642e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.308167040348052978515625e0), SC_(0.12151378934996375824220394156626328228788742423087e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.6323592662811279296875e0), SC_(0.13412676685915296881822755838145300215000346890517e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.814723670482635498046875e0), SC_(0.15281201627814349911219322982937563560261834041215e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.835008561611175537109375e0), SC_(0.15629208273736966018850653753226433255433492941276e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.905791938304901123046875e0), SC_(0.17402117426998289313370860215974579190403457757437e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.9133758544921875e0), SC_(0.17678472099706618291007501715448169066167629554269e4) }}, 
+      {{ SC_(0.1185395751953125e4), SC_(0.968867778778076171875e0), SC_(0.2120363403215687272189669275949606957433496693392e4) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_k_data.ipp b/src/boost/libs/math/test/ellint_k_data.ipp
new file mode 100644
index 000000000..944d93ae0
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_k_data.ipp
@@ -0,0 +1,107 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> ellint_k_data = {{
+      {{ SC_(-0.99042308330535888671875e0), SC_(0.3377711175347896212115917173531827081735908096628e1) }}, 
+      {{ SC_(-0.936324596405029296875e0), SC_(0.24799928378892127263868582279024816073017669022263e1) }}, 
+      {{ SC_(-0.931098163127899169921875e0), SC_(0.24445366497109921574142184681825951967450363552834e1) }}, 
+      {{ SC_(-0.928566992282867431640625e0), SC_(0.24283992440860978354078883091691713688375646750641e1) }}, 
+      {{ SC_(-0.927107870578765869140625e0), SC_(0.24193766718674199444433297470157473721017375354321e1) }}, 
+      {{ SC_(-0.907647669315338134765625e0), SC_(0.23150567546618192429964125282245930582572797978818e1) }}, 
+      {{ SC_(-0.89755761623382568359375e0), SC_(0.22701438887345149877132302334749426657376446371554e1) }}, 
+      {{ SC_(-0.805727422237396240234375e0), SC_(0.20065967275502056522161145711205880615166307631054e1) }}, 
+      {{ SC_(-0.804910182952880859375e0), SC_(0.20049607901713509576649915223436597681197065440791e1) }}, 
+      {{ SC_(-0.78026759624481201171875e0), SC_(0.19592100556166276984041617991618803394021101627948e1) }}, 
+      {{ SC_(-0.775062084197998046875e0), SC_(0.19503477481367618080344709104861737619417735663137e1) }}, 
+      {{ SC_(-0.749625742435455322265625e0), SC_(0.19104400630324162677555937926672404286027386161554e1) }}, 
+      {{ SC_(-0.748197972774505615234375e0), SC_(0.19083524493958065222471464174677965403570194813599e1) }}, 
+      {{ SC_(-0.746017634868621826171875e0), SC_(0.19051932837924025803305082607208317930893376343866e1) }}, 
+      {{ SC_(-0.729037344455718994140625e0), SC_(0.18817193270349712906579552152250851402884979195389e1) }}, 
+      {{ SC_(-0.7162187099456787109375e0), SC_(0.18652211443514110895753017730892076794376353163691e1) }}, 
+      {{ SC_(-0.70176351070404052734375e0), SC_(0.18477488779057501703815851124765277365377561449605e1) }}, 
+      {{ SC_(-0.684765398502349853515625e0), SC_(0.18285893795597042965531449099985329446409496660036e1) }}, 
+      {{ SC_(-0.657618343830108642578125e0), SC_(0.18007288418337930091030357471813257042005823390856e1) }}, 
+      {{ SC_(-0.65226137638092041015625e0), SC_(0.17955901766989373531455842967467859457919280319805e1) }}, 
+      {{ SC_(-0.626246631145477294921875e0), SC_(0.17721381024097650892501675317068276777213166539113e1) }}, 
+      {{ SC_(-0.62322795391082763671875e0), SC_(0.17695682119254878963375370515480337143290717650699e1) }}, 
+      {{ SC_(-0.579573929309844970703125e0), SC_(0.17355084423179730268283500692922635797002148145716e1) }}, 
+      {{ SC_(-0.576143443584442138671875e0), SC_(0.17330585071273208935299581419876214110701077039073e1) }}, 
+      {{ SC_(-0.557924091815948486328125e0), SC_(0.17205458226692737403200667710314658175352937313565e1) }}, 
+      {{ SC_(-0.4461468160152435302734375e0), SC_(0.1659143428704545241870880533420140506147522333952e1) }}, 
+      {{ SC_(-0.442996323108673095703125e0), SC_(0.16577357283229169972381488150848899831930773096426e1) }}, 
+      {{ SC_(-0.4059340953826904296875e0), SC_(0.16422906110493949856538834271333672987146221978421e1) }}, 
+      {{ SC_(-0.3961667716503143310546875e0), SC_(0.16385456546730544519392193048583469346592283426711e1) }}, 
+      {{ SC_(-0.38365900516510009765625e0), SC_(0.16339371135272803257688801436358682987064021339502e1) }}, 
+      {{ SC_(-0.366892278194427490234375e0), SC_(0.16280775355945302002930914045811739595274403877109e1) }}, 
+      {{ SC_(-0.3657942116260528564453125e0), SC_(0.16277061660792581984612626919271028055659130917587e1) }}, 
+      {{ SC_(-0.2774055898189544677734375e0), SC_(0.16023984430282800438657607498499405531471989727973e1) }}, 
+      {{ SC_(-0.236876904964447021484375e0), SC_(0.15935547153447952975660160168795914210559129958763e1) }}, 
+      {{ SC_(-0.215539872646331787109375e0), SC_(0.1589532821488995266987321628138860611930750500013e1) }}, 
+      {{ SC_(-0.20251691341400146484375e0), SC_(0.15872846186561139876915281752585049624892405264006e1) }}, 
+      {{ SC_(-0.18253175914287567138671875e0), SC_(0.15841312442860499386355917744088632471227360101517e1) }}, 
+      {{ SC_(-0.15647165477275848388671875e0), SC_(0.15805456328241604119645385355233009390341499402715e1) }}, 
+      {{ SC_(-0.155818879604339599609375e0), SC_(0.15804633259546865645050516399359359956031398166357e1) }}, 
+      {{ SC_(-0.12250564992427825927734375e0), SC_(0.15767400871102419514183615836102806382524229776023e1) }}, 
+      {{ SC_(-0.108822040259838104248046875e0), SC_(0.15754779970087063716770992170704593788694293192204e1) }}, 
+      {{ SC_(-0.84016263484954833984375e-1), SC_(0.15735793449827667079522175566532496627258499829808e1) }}, 
+      {{ SC_(-0.5047737061977386474609375e-1), SC_(0.15717983468978644730669790777144243904901266418816e1) }}, 
+      {{ SC_(-0.2924356050789356231689453125e-1), SC_(0.15711323191301626906143245522892930046111479139043e1) }}, 
+      {{ SC_(-0.2485703863203525543212890625e-1), SC_(0.15710390490728134946675992373238514306032071520432e1) }}, 
+      {{ SC_(-0.2046610601246356964111328125e-1), SC_(0.15709608520853443438268600756375428033257896081621e1) }}, 
+      {{ SC_(-0.1881679333746433258056640625e-1), SC_(0.15709353981303437885151982749950681277334084182671e1) }}, 
+      {{ SC_(0.73303808458149433135986328125e-2), SC_(0.15708174289149913873348609319163921760640886342517e1) }}, 
+      {{ SC_(0.93767531216144561767578125e-1), SC_(0.15742662557451933000168330868057640508121413022011e1) }}, 
+      {{ SC_(0.94445712864398956298828125e-1), SC_(0.15743168849992435161106319232000048329301973530501e1) }}, 
+      {{ SC_(0.26472222805023193359375e0), SC_(0.15994564178224078022860215956833860720177728374035e1) }}, 
+      {{ SC_(0.2795303165912628173828125e0), SC_(0.16029072336719100270539575574782330640458373122935e1) }}, 
+      {{ SC_(0.2926295697689056396484375e0), SC_(0.16061468472007804719214570477294979509859730905091e1) }}, 
+      {{ SC_(0.31095921993255615234375e0), SC_(0.1610983807838740712761368067192691405393131953881e1) }}, 
+      {{ SC_(0.311484813690185546875e0), SC_(0.16111278469143224539903626000312660918785264354958e1) }}, 
+      {{ SC_(0.3272143900394439697265625e0), SC_(0.16155797975233104967915214233565515716306532094698e1) }}, 
+      {{ SC_(0.35747349262237548828125e0), SC_(0.16249404264362997324992641484372408858215631632002e1) }}, 
+      {{ SC_(0.3627222478389739990234375e0), SC_(0.16266751570835125835068247288118651474745966539618e1) }}, 
+      {{ SC_(0.3896603286266326904296875e0), SC_(0.16361224926513534404184731359873689992038364400691e1) }}, 
+      {{ SC_(0.4120951592922210693359375e0), SC_(0.16447205720518345410219553921960387345221364427466e1) }}, 
+      {{ SC_(0.418732583522796630859375e0), SC_(0.16473983100889105980743072684285213201961112169823e1) }}, 
+      {{ SC_(0.451680660247802734375e0), SC_(0.16616537578199064695178688197080983284328919711812e1) }}, 
+      {{ SC_(0.4812971055507659912109375e0), SC_(0.16759409027443021223185102539476096588592566487743e1) }}, 
+      {{ SC_(0.486267507076263427734375e0), SC_(0.16784859353297838419400330721985671192135840854661e1) }}, 
+      {{ SC_(0.509375751018524169921875e0), SC_(0.16909133957115563796676413045863923443879243171298e1) }}, 
+      {{ SC_(0.515482723712921142578125e0), SC_(0.16943684153133994180565117266182132481147687142707e1) }}, 
+      {{ SC_(0.52750241756439208984375e0), SC_(0.17013882771778724726932964262059466393678608760062e1) }}, 
+      {{ SC_(0.531035959720611572265625e0), SC_(0.17035089955832848907265521472430416089318818612814e1) }}, 
+      {{ SC_(0.584416687488555908203125e0), SC_(0.17390197327988114565246996689229900966075086201035e1) }}, 
+      {{ SC_(0.587952077388763427734375e0), SC_(0.17416228307854377082064181076439075579393688159215e1) }}, 
+      {{ SC_(0.5904018878936767578125e0), SC_(0.17434466233796448758342732941787231810206075234501e1) }}, 
+      {{ SC_(0.5945618152618408203125e0), SC_(0.17465816562648604997075231101739061981996142156151e1) }}, 
+      {{ SC_(0.5958592891693115234375e0), SC_(0.17475694098213745790315441260074496951659216831348e1) }}, 
+      {{ SC_(0.59621369838714599609375e0), SC_(0.17478400476807070940242210641459121619833657136515e1) }}, 
+      {{ SC_(0.60056293010711669921875e0), SC_(0.17511905345983286033588753251945176786720874355107e1) }}, 
+      {{ SC_(0.6150639057159423828125e0), SC_(0.17627654245195403785778656645694141888969985612575e1) }}, 
+      {{ SC_(0.629449188709259033203125e0), SC_(0.17748975492324966654441702323788071861970996989102e1) }}, 
+      {{ SC_(0.6438083648681640625e0), SC_(0.17877036110717852208569994416480820233927146151031e1) }}, 
+      {{ SC_(0.64691746234893798828125e0), SC_(0.17905734108284599293495949910396246976486037925061e1) }}, 
+      {{ SC_(0.67001879215240478515625e0), SC_(0.18130645541261783392588745817521015225200222756122e1) }}, 
+      {{ SC_(0.698260128498077392578125e0), SC_(0.18436823516091780453599478590327018132893271380223e1) }}, 
+      {{ SC_(0.744858920574188232421875e0), SC_(0.1903528375308813580432291088034833377552119409638e1) }}, 
+      {{ SC_(0.75686252117156982421875e0), SC_(0.1921257878508255118587957424341444494608703851379e1) }}, 
+      {{ SC_(0.81158483028411865234375e0), SC_(0.20185697260071845965032147456371482208660801062775e1) }}, 
+      {{ SC_(0.826752603054046630859375e0), SC_(0.20517631918180497335416092658794507587336758082983e1) }}, 
+      {{ SC_(0.831471920013427734375e0), SC_(0.20628007317688811564201523487885011440347375983853e1) }}, 
+      {{ SC_(0.841750323772430419921875e0), SC_(0.20881524894194487687984856759006121206951763482194e1) }}, 
+      {{ SC_(0.867987096309661865234375e0), SC_(0.21626553443645542835585774105841427525784980815445e1) }}, 
+      {{ SC_(0.90044462680816650390625e0), SC_(0.22824738454300952253057616561926426370482782713694e1) }}, 
+      {{ SC_(0.914334356784820556640625e0), SC_(0.23479275233217975943026959240752324894340069192044e1) }}, 
+      {{ SC_(0.915014088153839111328125e0), SC_(0.23514264944956428937368978831156074286111428698483e1) }}, 
+      {{ SC_(0.918985307216644287109375e0), SC_(0.23725035893866734721028942202359170270846633736916e1) }}, 
+      {{ SC_(0.9297773838043212890625e0), SC_(0.2436037207911617888011813888250469085423814242563e1) }}, 
+      {{ SC_(0.935390174388885498046875e0), SC_(0.24734276363166698887860324191541438396367793619322e1) }}, 
+      {{ SC_(0.937735855579376220703125e0), SC_(0.24901081139855480473523004657581668979713789812992e1) }}, 
+      {{ SC_(0.941185891628265380859375e0), SC_(0.25159148953544058237986278218012688105174747190388e1) }}, 
+      {{ SC_(0.962219536304473876953125e0), SC_(0.27197444631906795382660830171523843323266857162631e1) }}, 
+      {{ SC_(0.985762655735015869140625e0), SC_(0.31847978937935282927541645440535551111318175394252e1) }}, 
+      {{ SC_(0.988137066364288330078125e0), SC_(0.32733547952035871434783118403258690613147460127497e1) }}, 
+      {{ SC_(0.992922723293304443359375e0), SC_(0.35258676303484017878276559590157568137293088406988e1) }}
+   }};
diff --git a/src/boost/libs/math/test/ellint_pi2_data.ipp b/src/boost/libs/math/test/ellint_pi2_data.ipp
new file mode 100644
index 000000000..a8c0d1d17
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_pi2_data.ipp
@@ -0,0 +1,512 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of data contains in order:
+//
+// n, k, PI(n, k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 500> ellint_pi2_data = {{
+      {{ SC_(-0.871743316650390625e2), SC_(0.12698681652545928955078125e0), SC_(0.1674125184786922275852201144520277497358358213892e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.135477006435394287109375e0), SC_(0.16743071541243053183466547814319460702264753849723e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.22103404998779296875e0), SC_(0.16768328087467940131221559947745677007068360020936e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.308167040348052978515625e0), SC_(0.16807808560619590184466399113136263382376022541855e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.6323592662811279296875e0), SC_(0.17122026715243530525631538196923732076962513344995e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.814723670482635498046875e0), SC_(0.17534141630242782956646324755267751416323066482835e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.835008561611175537109375e0), SC_(0.17605554592184937069060075230541493581360045985831e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.905791938304901123046875e0), SC_(0.17950085945970126738588840411224305832081644195523e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.9133758544921875e0), SC_(0.18001354683126288823677625533339788309413921715434e0) }}, 
+      {{ SC_(-0.871743316650390625e2), SC_(0.968867778778076171875e0), SC_(0.1861623643134889055406196973715380337805086459718e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.12698681652545928955078125e0), SC_(0.16823313926270090905448439997177323604952165614363e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.135477006435394287109375e0), SC_(0.16825150634432729564119302859989272874459890613116e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.22103404998779296875e0), SC_(0.1685064347403877889119812191305941553416022238658e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.308167040348052978515625e0), SC_(0.16890493817434378352408134048753732273764880942954e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.6323592662811279296875e0), SC_(0.17207676229429286979803490409285729827120332255809e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.814723670482635498046875e0), SC_(0.17623726816880267488571098227884869828610508117243e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.835008561611175537109375e0), SC_(0.17695826377184426719315773208991477000910029521482e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.905791938304901123046875e0), SC_(0.18043685472666137350386874269852689421871499307432e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.9133758544921875e0), SC_(0.18095451269215495642582809340040493458719660291695e0) }}, 
+      {{ SC_(-0.8631682586669921875e2), SC_(0.968867778778076171875e0), SC_(0.18716320978769236210159810482536135896363176742343e0) }}, 
+      {{ SC_(-0.7767555999755859375e2), SC_(0.12698681652545928955078125e0), SC_(0.17723805469497005138970658754479684034139004976308e0) }}, 
+      {{ SC_(-0.7767555999755859375e2), SC_(0.135477006435394287109375e0), SC_(0.17725833547565335175365419889134424107345532565877e0) }}, 
+      {{ SC_(-0.7767555999755859375e2), SC_(0.22103404998779296875e0), SC_(0.17753984165266644170812805305717146395671420094776e0) }}, 
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+      {{ SC_(0.996461331844329833984375e0), SC_(0.278498232364654541015625e0), SC_(0.27430729276514554098633382905293142866236072404168e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.308167040348052978515625e0), SC_(0.27678118753104768841544241662525580388107866876282e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.546881496906280517578125e0), SC_(0.31213240738021743521644147864390542809845218224843e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.54722058773040771484375e0), SC_(0.31220997617474390630713051844594666758716918064286e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.6323592662811279296875e0), SC_(0.33569286497756543464285670293321380122426984476525e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.814723670482635498046875e0), SC_(0.4395386723690573604089341802484590769216982250272e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.835008561611175537109375e0), SC_(0.46132844280074174499202090082014892744405520616437e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.905791938304901123046875e0), SC_(0.58587652855298148334031858334558601606458070313074e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.9133758544921875e0), SC_(0.60748367915375862531255830821598900720628098154312e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.957506835460662841796875e0), SC_(0.82625470558383026944908893678685038814065230848324e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.964888513088226318359375e0), SC_(0.89667844444233284890246553088819296424506047104969e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.967694938182830810546875e0), SC_(0.92913130201351090779050947500643074594936139585892e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.968867778778076171875e0), SC_(0.94387923495063103062113556546657899915314134335375e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.992881298065185546875e0), SC_(0.17241273531195384234344983626787913729253040033677e3) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.996461331844329833984375e0), SC_(0.22388123241793230536309311882526020237726710081432e3) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_pi3_data.ipp b/src/boost/libs/math/test/ellint_pi3_data.ipp
new file mode 100644
index 000000000..3158ee4fe
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_pi3_data.ipp
@@ -0,0 +1,412 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of data contains in order:
+//
+// n, phi, k, PI(n, phi, k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 400> ellint_pi3_data = {{
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.15321610867977142333984375e0), SC_(0.814723670482635498046875e0), SC_(0.15373203842748125370338546651780574888816846402842e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.1994704306125640869140625e0), SC_(0.135477006435394287109375e0), SC_(0.19975117232566753482238350513231879856319046077755e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.2128067910671234130859375e0), SC_(0.905791938304901123046875e0), SC_(0.21444962146028791552496083456124507126701014421723e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.295909702777862548828125e0), SC_(0.835008561611175537109375e0), SC_(0.2997980220798275355640498732995940042091456814389e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.3471994698047637939453125e0), SC_(0.12698681652545928955078125e0), SC_(0.3486476485633547682857103272510437125962758824058e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.4374639987945556640625e0), SC_(0.968867778778076171875e0), SC_(0.45394401267101670348318068398554096043112056011139e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.4840676784515380859375e0), SC_(0.9133758544921875e0), SC_(0.50429356834860180919136192213432534063086058053706e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.859039485454559326171875e0), SC_(0.22103404998779296875e0), SC_(0.88214398516284753446093152446515519356116616485632e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.859572112560272216796875e0), SC_(0.6323592662811279296875e0), SC_(0.92068616339339750141383142107393122316780108757901e0) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.993307650089263916015625e0), SC_(0.308167040348052978515625e0), SC_(0.10344161605846899329010060099405650089702846030678e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.127976500988006591796875e1), SC_(0.97540400922298431396484375e-1), SC_(0.13345405612458198850035058621296608418958648996025e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.131162846088409423828125e1), SC_(0.54722058773040771484375e0), SC_(0.1467211661750789199498096403270216766602112811216e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.142281472682952880859375e1), SC_(0.278498232364654541015625e0), SC_(0.1517376955674343715832681461618162299318704226245e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.14347274303436279296875e1), SC_(0.188381969928741455078125e0), SC_(0.15154584947701684136724391750741680569501800622377e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.150404822826385498046875e1), SC_(0.546881496906280517578125e0), SC_(0.17193768372540183459266121250638009185486028760609e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.15156433582305908203125e1), SC_(0.992881298065185546875e0), SC_(0.32971643837652261637854814203821825514327178475199e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.15200517177581787109375e1), SC_(0.957506835460662841796875e0), SC_(0.26533602409619323321869623248304538129999833091585e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.1521893978118896484375e1), SC_(0.996461331844329833984375e0), SC_(0.3561780644579714064351594651991953922505125185799e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.155961430072784423828125e1), SC_(0.964888513088226318359375e0), SC_(0.28980698413581142714910692917445567690962125009838e1) }}, 
+      {{ SC_(0.97540400922298431396484375e-1), SC_(0.156523787975311279296875e1), SC_(0.967694938182830810546875e0), SC_(0.2963846383355250968965561470164902664673523718254e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.15321610867977142333984375e0), SC_(0.15761308372020721435546875e0), SC_(0.15338276528480469307645524589925911983842933545318e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.1994704306125640869140625e0), SC_(0.725838959217071533203125e0), SC_(0.20050472017966223244832559958930749817872953420574e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.2128067910671234130859375e0), SC_(0.970592796802520751953125e0), SC_(0.21474633975859950860058990149085299903493818118173e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.295909702777862548828125e0), SC_(0.981109678745269775390625e0), SC_(0.30126622877564752427416022416319928001205083826745e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.3471994698047637939453125e0), SC_(0.957166969776153564453125e0), SC_(0.35556281810161664845441307089338900623226704681013e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.4374639987945556640625e0), SC_(0.109861753880977630615234375e0), SC_(0.44108704490870617851306791784352122043342900288043e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.4840676784515380859375e0), SC_(0.4853756427764892578125e0), SC_(0.4931534053333340013873746669080440363943172483071e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.859039485454559326171875e0), SC_(0.79810583591461181640625e0), SC_(0.95793555582395747656127633027011309520362186574239e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.859572112560272216796875e0), SC_(0.80028045177459716796875e0), SC_(0.95916493478176953527039854676450394699681072398641e0) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.993307650089263916015625e0), SC_(0.297029435634613037109375e0), SC_(0.10423576221417789616871878908198112649827548095731e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.127976500988006591796875e1), SC_(0.14188633859157562255859375e0), SC_(0.13546856275247299959686911377471236914557130492097e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.131162846088409423828125e1), SC_(0.47834846191108226776123046875e-2), SC_(0.13852508127489059545144640536254575613018719622883e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.142281472682952880859375e1), SC_(0.4217612743377685546875e0), SC_(0.1580806460730606927026951555195055758185719667744e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.14347274303436279296875e1), SC_(0.1124645173549652099609375e0), SC_(0.15299877934449998899665605808479497934876736447949e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.150404822826385498046875e1), SC_(0.915735542774200439453125e0), SC_(0.23689609442676919170416815484427154520853373075881e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.15156433582305908203125e1), SC_(0.639763355255126953125e0), SC_(0.1835738109897334786523262319533878046183264001931e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.15200517177581787109375e1), SC_(0.792207300662994384765625e0), SC_(0.20421897283663486226184747704649952019905530832883e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.1521893978118896484375e1), SC_(0.878430664539337158203125e0), SC_(0.22634516501807612485356151537759920819079714452558e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.155961430072784423828125e1), SC_(0.9594924449920654296875e0), SC_(0.28887516554719816744397706140122177270738385968024e1) }}, 
+      {{ SC_(0.12698681652545928955078125e0), SC_(0.156523787975311279296875e1), SC_(0.50366270542144775390625e0), SC_(0.18034472925184640376371577046428385276285373444411e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.15321610867977142333984375e0), SC_(0.655740678310394287109375e0), SC_(0.15363629557196132980883089360225522896492220958322e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.1994704306125640869140625e0), SC_(0.797928631305694580078125e0), SC_(0.20067494179979137242421676287559757328741739620642e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.2128067910671234130859375e0), SC_(0.357116796076297760009765625e-1), SC_(0.21324169024677035294223198881641105042673468575295e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.295909702777862548828125e0), SC_(0.3612940013408660888671875e0), SC_(0.29762814633345360441629373229306400484051906392213e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.3471994698047637939453125e0), SC_(0.84912931919097900390625e0), SC_(0.35421678576166500134526995976876470429367721514915e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.4374639987945556640625e0), SC_(0.21192432940006256103515625e0), SC_(0.44177167179472452041878404853114448084677945000124e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.4840676784515380859375e0), SC_(0.93399322032928466796875e0), SC_(0.50663380674601173483407086537779743434452929228299e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.859039485454559326171875e0), SC_(0.6813595294952392578125e0), SC_(0.93627839278165512585472067471532220087472706511487e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.859572112560272216796875e0), SC_(0.67873513698577880859375e0), SC_(0.93649514133220802251023716495055301794222292469291e0) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.993307650089263916015625e0), SC_(0.3987385332584381103515625e0), SC_(0.10560205210680177542821652194191329203962951766098e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.127976500988006591796875e1), SC_(0.75774013996124267578125e0), SC_(0.15792362576660079817584588221413499564813109220967e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.131162846088409423828125e1), SC_(0.740647256374359130859375e0), SC_(0.16166573009327473944412502794295013421915138113773e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.142281472682952880859375e1), SC_(0.74313247203826904296875e0), SC_(0.18051149573204353151046319086097224034327358735037e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.14347274303436279296875e1), SC_(0.474758684635162353515625e0), SC_(0.16246331859624891584468937862242197255022663725014e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.150404822826385498046875e1), SC_(0.3922270238399505615234375e0), SC_(0.16794499146710961167059977468015447083859789387452e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.15156433582305908203125e1), SC_(0.42208766937255859375e0), SC_(0.17060778738061936719641657840144566082201208057621e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.15200517177581787109375e1), SC_(0.65547788143157958984375e0), SC_(0.18666567615959102360545655098338303883335250287837e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.1521893978118896484375e1), SC_(0.1738651692867279052734375e0), SC_(0.16454282072183386718850345865233706115846811877772e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.155961430072784423828125e1), SC_(0.1711866855621337890625e0), SC_(0.16893141542034271144719727903810757021076763554868e1) }}, 
+      {{ SC_(0.135477006435394287109375e0), SC_(0.156523787975311279296875e1), SC_(0.3019131124019622802734375e0), SC_(0.17247629437572107835994205744033158553091594172942e1) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.15321610867977142333984375e0), SC_(0.70604610443115234375e0), SC_(0.15374129235371893318320391783184832151469294397024e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.1994704306125640869140625e0), SC_(0.797279894351959228515625e0), SC_(0.2008145356675702347171190965342317709807636891598e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.2128067910671234130859375e0), SC_(0.318328440189361572265625e-1), SC_(0.21341117056965599965495209080176878817755967511103e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.295909702777862548828125e0), SC_(0.316550433635711669921875e0), SC_(0.29795513263165928606457135223504215685844085773217e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.3471994698047637939453125e0), SC_(0.2769229710102081298828125e0), SC_(0.35033068412795226925211701071698054849499734821317e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.4374639987945556640625e0), SC_(0.872428834438323974609375e0), SC_(0.45377622361953390225693442448312860081404123131496e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.4840676784515380859375e0), SC_(0.46171389520168304443359375e-1), SC_(0.49107707095547017672688328632255114847364396826043e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.859039485454559326171875e0), SC_(0.1491139829158782958984375e0), SC_(0.89809346952145047341364443710813312775512398687315e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.859572112560272216796875e0), SC_(0.9713177382946014404296875e-1), SC_(0.89742881227836558792767615520993058490648040919703e0) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.993307650089263916015625e0), SC_(0.99406850337982177734375e0), SC_(0.12866346097182797011525547537719695362479512768895e1) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.127976500988006591796875e1), SC_(0.82345783710479736328125e0), SC_(0.16914757898617543913705440681606954379713844698507e1) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.131162846088409423828125e1), SC_(0.821903288364410400390625e0), SC_(0.17526435342761314289792276986725477524729486307092e1) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.142281472682952880859375e1), SC_(0.69482862949371337890625e0), SC_(0.18074516959783082924161058130735089760598245925545e1) }}, 
+      {{ SC_(0.188381969928741455078125e0), SC_(0.14347274303436279296875e1), SC_(0.12518276274204254150390625e0), SC_(0.15821089098843317773364875191045306220560055453024e1) }}, 
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+      {{ SC_(0.968867778778076171875e0), SC_(0.14347274303436279296875e1), SC_(0.25829589366912841796875e0), SC_(0.52965937189811672314081569081059077796519658968977e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.150404822826385498046875e1), SC_(0.731722414493560791015625e0), SC_(0.92583262981154382185351350782094876668592638916589e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.15156433582305908203125e1), SC_(0.12984652817249298095703125e0), SC_(0.7233773376721171229435259512236443934650475081173e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.15200517177581787109375e1), SC_(0.64774596691131591796875e0), SC_(0.91053372374313401582308361573901478352610855700337e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.1521893978118896484375e1), SC_(0.493326842784881591796875e0), SC_(0.82536400334140914822765036957266265919633704648661e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.155961430072784423828125e1), SC_(0.4509237110614776611328125e0), SC_(0.93995103249245477244455231773136703775786210343295e1) }}, 
+      {{ SC_(0.968867778778076171875e0), SC_(0.156523787975311279296875e1), SC_(0.3785004317760467529296875e0), SC_(0.93125715606508175287280208010343215728209966217622e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.15321610867977142333984375e0), SC_(0.54700887203216552734375e0), SC_(0.154599286903186347536842701718471127585280120763e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.1994704306125640869140625e0), SC_(0.71846997737884521484375e0), SC_(0.20283934930431330261325692288358107410442895192458e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.2128067910671234130859375e0), SC_(0.29632079601287841796875e0), SC_(0.21619844220527214635649026415392786440017796933018e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.295909702777862548828125e0), SC_(0.2878049910068511962890625e0), SC_(0.3051647326285145064763788149974065042939649411249e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.3471994698047637939453125e0), SC_(0.74469280242919921875e0), SC_(0.36593269361963920740660627814234613035125736530233e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.4374639987945556640625e0), SC_(0.623435556888580322265625e0), SC_(0.47351038005245946606485569936799511854047412964646e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.4840676784515380859375e0), SC_(0.188955008983612060546875e0), SC_(0.52619421119616314908557198345534215266757025628341e0) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.859039485454559326171875e0), SC_(0.811873972415924072265625e0), SC_(0.12796147420322316976041013515903300942049403300717e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.859572112560272216796875e0), SC_(0.6867754459381103515625e0), SC_(0.12394269966981472546595377372621649553539498692944e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.993307650089263916015625e0), SC_(0.31250798702239990234375e0), SC_(0.15534506456507100564291157167033185308229885626081e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.127976500988006591796875e1), SC_(0.18351115286350250244140625e0), SC_(0.32883134974911278663257207579294642984195789886813e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.131162846088409423828125e1), SC_(0.3857105076313018798828125e0), SC_(0.3843930070475687905185740186007796682476313279295e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.142281472682952880859375e1), SC_(0.3684845864772796630859375e0), SC_(0.64560281183013155713676475264767841267885661014251e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.14347274303436279296875e1), SC_(0.3439297378063201904296875e0), SC_(0.68762448789590812867204741141193446919124297531292e1) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.150404822826385498046875e1), SC_(0.62561857700347900390625e0), SC_(0.13204500086777579559121699778257730234656273348984e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.15156433582305908203125e1), SC_(0.81576907634735107421875e0), SC_(0.18782686397271619660785945631793130083787364064634e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.15200517177581787109375e1), SC_(0.7802274227142333984375e0), SC_(0.18302545936290427541117117730722002834553061125842e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.1521893978118896484375e1), SC_(0.669285118579864501953125e0), SC_(0.16059155876792932443850017386340255003749606531065e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.155961430072784423828125e1), SC_(0.811257660388946533203125e-1), SC_(0.17107262415330151383028878013437636789944479173721e2) }}, 
+      {{ SC_(0.992881298065185546875e0), SC_(0.156523787975311279296875e1), SC_(0.379418849945068359375e0), SC_(0.19155786972659388496036522827203540528048007161044e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.15321610867977142333984375e0), SC_(0.929385960102081298828125e0), SC_(0.15494953789788259980228066836666586023123819724425e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.1994704306125640869140625e0), SC_(0.4584968984127044677734375e0), SC_(0.20243262749758402603750294407634188860785303898664e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.2128067910671234130859375e0), SC_(0.775712668895721435546875e0), SC_(0.21706303863374380621352712917030134681912729698606e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.295909702777862548828125e0), SC_(0.303613960742950439453125e0), SC_(0.30524071829572125811103009319660245769811854653147e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.3471994698047637939453125e0), SC_(0.4867916405200958251953125e0), SC_(0.36356073608058866564834344897710010972287253451556e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.4374639987945556640625e0), SC_(0.910564959049224853515625e0), SC_(0.48104301408957402493870044558559339292659904746407e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.4840676784515380859375e0), SC_(0.4358585774898529052734375e0), SC_(0.5296599894432982217860267176354900496432490384687e0) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.859039485454559326171875e0), SC_(0.488617718219757080078125e0), SC_(0.11959816962457412713215082894885440106679306405223e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.859572112560272216796875e0), SC_(0.4467837512493133544921875e0), SC_(0.11905815264303277217419460505969483267592093504852e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.993307650089263916015625e0), SC_(0.75578987598419189453125e0), SC_(0.17303829899385816376582825125863049753469531971278e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.127976500988006591796875e1), SC_(0.3063494861125946044921875e0), SC_(0.33959201984939021366299708945798000348464210899788e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.131162846088409423828125e1), SC_(0.108061917126178741455078125e0), SC_(0.37244311575010030859404652598599661337479280352413e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.142281472682952880859375e1), SC_(0.5085086822509765625e0), SC_(0.71622395151588347106386969682257760699123684023386e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.14347274303436279296875e1), SC_(0.39358985424041748046875e0), SC_(0.73636293852590201326616972102360781065664379097234e1) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.150404822826385498046875e1), SC_(0.510771572589874267578125e0), SC_(0.13953417098210141831895151114277855224069335314941e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.15156433582305908203125e1), SC_(0.870186746120452880859375e0), SC_(0.2556857706461314333232853600430574327145004073045e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.15200517177581787109375e1), SC_(0.817627727985382080078125e0), SC_(0.23625019083977016071256452688852096136119845707138e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.1521893978118896484375e1), SC_(0.36086070537567138671875e0), SC_(0.15792458525021165627427857010031529171479777626611e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.155961430072784423828125e1), SC_(0.79483139514923095703125e0), SC_(0.36995201253231850772712106938485439098332159356711e2) }}, 
+      {{ SC_(0.996461331844329833984375e0), SC_(0.156523787975311279296875e1), SC_(0.917117893695831298828125e0), SC_(0.57989207945838172546694589268843963845498536168854e2) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_pi3_large_data.ipp b/src/boost/libs/math/test/ellint_pi3_large_data.ipp
new file mode 100644
index 000000000..607f2409f
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_pi3_large_data.ipp
@@ -0,0 +1,392 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Each row of data contains in order:
+//
+// n, phi, k, PI(n, phi, k)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 380> ellint_pi3_large_data = {{
+      {{ SC_(-0.882951507568359375e2), SC_(-0.80491924285888671875e1), SC_(0.814723670482635498046875e0), SC_(-0.87472421400728425336727040442604900083192977041785e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.7460263729095458984375e1), SC_(0.135477006435394287109375e0), SC_(-0.82718880423302271609361236805097048706326618138613e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.729045963287353515625e1), SC_(0.905791938304901123046875e0), SC_(-0.87747551276758882959544200152954525505618423971659e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.623236083984375e1), SC_(0.835008561611175537109375e0), SC_(-0.65215237953434450934522345100560800793657047297229e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.5579319000244140625e1), SC_(0.12698681652545928955078125e0), SC_(-0.5122762429234107157399593560830350036728566184486e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.443003559112548828125e1), SC_(0.968867778778076171875e0), SC_(-0.54332403292257364440317808333720203684254160082478e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(-0.38366591930389404296875e1), SC_(0.9133758544921875e0), SC_(-0.51338947010848800530828929008203919356014977411471e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.9376299381256103515625e0), SC_(0.22103404998779296875e0), SC_(0.15824345778373739469179000212986130442374553398e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.944411754608154296875e0), SC_(0.6323592662811279296875e0), SC_(0.16010110842241419282972789586647601062389080124406e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.264718532562255859375e1), SC_(0.308167040348052978515625e0), SC_(0.18812698999986759709990325160594334177917367010501e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.62944736480712890625e1), SC_(0.97540400922298431396484375e-1), SC_(0.6764648718685968528811245633241126898305817526621e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.670017147064208984375e1), SC_(0.54722058773040771484375e0), SC_(0.81778541776042463995319059339588552698088433898419e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.81158390045166015625e1), SC_(0.278498232364654541015625e0), SC_(0.83745249382380518272911191808287678555946548573727e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.826751708984375e1), SC_(0.188381969928741455078125e0), SC_(0.83757094918096990315704827205570637800372489102387e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.91501369476318359375e1), SC_(0.546881496906280517578125e0), SC_(0.88536530789452037214536364734769886885031477691156e0) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.929777050018310546875e1), SC_(0.992881298065185546875e0), SC_(0.10670104592156217618232174187269358103233999652509e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.93538990020751953125e1), SC_(0.957506835460662841796875e0), SC_(0.10357277056795963385227029717982264964969263725296e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.93773555755615234375e1), SC_(0.996461331844329833984375e0), SC_(0.11393287366513926492075339545953276894721889046337e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.98576259613037109375e1), SC_(0.964888513088226318359375e0), SC_(0.12490646709828734017662810793035855992633603697925e1) }}, 
+      {{ SC_(-0.882951507568359375e2), SC_(0.992922687530517578125e1), SC_(0.967694938182830810546875e0), SC_(0.12562075694306417376583251897842403492180529464883e1) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.80491924285888671875e1), SC_(0.15761308372020721435546875e0), SC_(-0.84140469773208335456919923830249117896698295285825e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.7460263729095458984375e1), SC_(0.725838959217071533203125e0), SC_(-0.85987671052370888277919669524246227679947360493402e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.729045963287353515625e1), SC_(0.970592796802520751953125e0), SC_(-0.91443922525100421734210147418874666650910614494338e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.623236083984375e1), SC_(0.981109678745269775390625e0), SC_(-0.7106272156738935312370492307790173553201815649551e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.5579319000244140625e1), SC_(0.957166969776153564453125e0), SC_(-0.58106009812366507614405013631862001052582083043834e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.443003559112548828125e1), SC_(0.109861753880977630615234375e0), SC_(-0.49983870530384115095256605303312645824352714073227e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(-0.38366591930389404296875e1), SC_(0.4853756427764892578125e0), SC_(-0.49428566816516318921025209597689924685446558273393e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.9376299381256103515625e0), SC_(0.79810583591461181640625e0), SC_(0.16264406175756977733142719519534386130654412249944e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.944411754608154296875e0), SC_(0.80028045177459716796875e0), SC_(0.16282022749627678393354605008370427957677491731307e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.264718532562255859375e1), SC_(0.297029435634613037109375e0), SC_(0.18977993070188281230059741069586097466083740104406e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.62944736480712890625e1), SC_(0.14188633859157562255859375e0), SC_(0.68239209777614933756004515248637654641240799137633e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.670017147064208984375e1), SC_(0.47834846191108226776123046875e-2), SC_(0.81288526517388767163902468894469430412802255190882e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.81158390045166015625e1), SC_(0.4217612743377685546875e0), SC_(0.84924877776215008160678238935268625874487764674281e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.826751708984375e1), SC_(0.1124645173549652099609375e0), SC_(0.8436484863509619135739901228550661577676789921708e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.91501369476318359375e1), SC_(0.915735542774200439453125e0), SC_(0.95373283829252902405087581062925853275855864089375e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.929777050018310546875e1), SC_(0.639763355255126953125e0), SC_(0.93674317644311585360231935232845892831637346827973e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.93538990020751953125e1), SC_(0.792207300662994384765625e0), SC_(0.98735879657086553764434857657877232118368138213484e0) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.93773555755615234375e1), SC_(0.878430664539337158203125e0), SC_(0.1025248511731665221473972396370335124655052772948e1) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.98576259613037109375e1), SC_(0.9594924449920654296875e0), SC_(0.12550759972155121101731042438144441861148487473869e1) }}, 
+      {{ SC_(-0.8681658935546875e2), SC_(0.992922687530517578125e1), SC_(0.50366270542144775390625e0), SC_(0.11673484395886820589854473845868240195541869146431e1) }}, 
+      {{ SC_(-0.847615814208984375e2), SC_(-0.80491924285888671875e1), SC_(0.655740678310394287109375e0), SC_(-0.87330537529798589363707267477409442925913183364478e0) }}, 
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+      {{ SC_(-0.396634578704833984375e1), SC_(-0.5579319000244140625e1), SC_(0.241691291332244873046875e0), SC_(-0.23574190979731764925820378430269429039999026821228e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.443003559112548828125e1), SC_(0.2727530300617218017578125e0), SC_(-0.20795595903717808369226602920751548446608046498173e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(-0.38366591930389404296875e1), SC_(0.4039121568202972412109375e0), SC_(-0.19363504684946027378474342759829701188128121771172e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.9376299381256103515625e0), SC_(0.4924419820308685302734375e0), SC_(0.57439960450437229566178730657936055087445971602828e0) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.944411754608154296875e0), SC_(0.964545309543609619140625e-1), SC_(0.56442474196093604965583566632417577278742858368547e0) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.264718532562255859375e1), SC_(0.22341994941234588623046875e0), SC_(0.10268979775772100508568940610675973674681502356369e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.62944736480712890625e1), SC_(0.1319732964038848876953125e0), SC_(0.28383877275791007314386299295586348532858393601241e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.670017147064208984375e1), SC_(0.49030148983001708984375e0), SC_(0.32907839164490880888445582345626377534487551184709e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.81158390045166015625e1), SC_(0.94205057621002197265625e0), SC_(0.48362019411346784721294532477720592781436962781609e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.826751708984375e1), SC_(0.954943358898162841796875e0), SC_(0.50567832895539918958405915199892399369403297399246e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.91501369476318359375e1), SC_(0.9561345577239990234375e0), SC_(0.55399195596034391177588570332150200763269427826113e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.929777050018310546875e1), SC_(0.651968657970428466796875e0), SC_(0.44651151939772538632794635991507283967810574236258e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.93538990020751953125e1), SC_(0.575208604335784912109375e0), SC_(0.44208286802520298236946850661246282685292115127784e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.93773555755615234375e1), SC_(0.75750362873077392578125e0), SC_(0.47354975575487988811361588081480294631498903701242e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.98576259613037109375e1), SC_(0.597795434296131134033203125e-1), SC_(0.45905273890268042154281499664878219445864193449935e1) }}, 
+      {{ SC_(-0.396634578704833984375e1), SC_(0.992922687530517578125e1), SC_(0.435245692729949951171875e0), SC_(0.47676238150782921841655206628063738779088064504765e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.80491924285888671875e1), SC_(0.23477990925312042236328125e0), SC_(-0.44748533126920831422349545820794806553371277385033e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.7460263729095458984375e1), SC_(0.552881181240081787109375e0), SC_(-0.45036034718645244567658910223019378062296243109396e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.729045963287353515625e1), SC_(0.3531585633754730224609375e0), SC_(-0.42726238657165988625899083013084234770927337383475e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.623236083984375e1), SC_(0.53152568638324737548828125e-1), SC_(-0.34453886271845466532767992962242203359531735591743e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.5579319000244140625e1), SC_(0.82119405269622802734375e0), SC_(-0.36214083786208780467420759923323534444796335095604e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.443003559112548828125e1), SC_(0.3225107491016387939453125e0), SC_(-0.25784058164296168294688388728197558401803014682815e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(-0.38366591930389404296875e1), SC_(0.15403441153466701507568359375e-1), SC_(-0.22937304274191202625404745929401752108326363938647e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.9376299381256103515625e0), SC_(0.4049813747406005859375e0), SC_(0.66882671905380321365353696629501581726839659732368e0) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.944411754608154296875e0), SC_(0.430237986147403717041015625e-1), SC_(0.66092945746372938652588605746346208982917240808408e0) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.264718532562255859375e1), SC_(0.908433616161346435546875e0), SC_(0.18536900080764993605645667717175921713955588720638e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.62944736480712890625e1), SC_(0.16899003088474273681640625e0), SC_(0.35237325007404202330837864635359809500592160070051e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.670017147064208984375e1), SC_(0.80913722515106201171875e0), SC_(0.45426945752272245371383350900233494955058093762277e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.81158390045166015625e1), SC_(0.649115502834320068359375e0), SC_(0.49038329428638199567178903183066367562827357258082e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.826751708984375e1), SC_(0.25829589366912841796875e0), SC_(0.45593877951262054200620352500821353887097951116667e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.91501369476318359375e1), SC_(0.731722414493560791015625e0), SC_(0.57004523382308203815337495168340937882687351079681e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.929777050018310546875e1), SC_(0.12984652817249298095703125e0), SC_(0.51319275680071863858207399358794549369987990555794e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.93538990020751953125e1), SC_(0.64774596691131591796875e0), SC_(0.56823138039205519976075282866343588596541504718097e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.93773555755615234375e1), SC_(0.493326842784881591796875e0), SC_(0.5455958348692104517652116375856606963768856463546e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.98576259613037109375e1), SC_(0.4509237110614776611328125e0), SC_(0.58425715884572127603208314559986328209865929040183e1) }}, 
+      {{ SC_(-0.2233159542083740234375e1), SC_(0.992922687530517578125e1), SC_(0.3785004317760467529296875e0), SC_(0.58235654495321593144993439337365609617712620177635e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.80491924285888671875e1), SC_(0.54700887203216552734375e0), SC_(-0.99225565272299265057474332033452451298257411758289e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.7460263729095458984375e1), SC_(0.71846997737884521484375e0), SC_(-0.98733924062829495855268464439174693001319340908722e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.729045963287353515625e1), SC_(0.29632079601287841796875e0), SC_(-0.82838310087004006715984395376110573887564954006723e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.623236083984375e1), SC_(0.2878049910068511962890625e0), SC_(-0.71399649768593994233565781388330571566404664291638e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.5579319000244140625e1), SC_(0.74469280242919921875e0), SC_(-0.7852838275875078318898768277396954817312338949233e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.443003559112548828125e1), SC_(0.623435556888580322265625e0), SC_(-0.55353469466832669055948998690680459923127869705195e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(-0.38366591930389404296875e1), SC_(0.188955008983612060546875e0), SC_(-0.42670151795740926550616070898142650427001824200856e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.9376299381256103515625e0), SC_(0.811873972415924072265625e0), SC_(0.10948999881609283534865564650155039154841364221285e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.944411754608154296875e0), SC_(0.6867754459381103515625e0), SC_(0.10678437743348588891519840198915283249591294529495e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.264718532562255859375e1), SC_(0.31250798702239990234375e0), SC_(0.31064483566488608931281755219427099993121689654282e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.62944736480712890625e1), SC_(0.18351115286350250244140625e0), SC_(0.71043510436913445771405941909028349861445575844728e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.670017147064208984375e1), SC_(0.3857105076313018798828125e0), SC_(0.77553041204136176774038756662263769147319302501976e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.81158390045166015625e1), SC_(0.3684845864772796630859375e0), SC_(0.94787138653519013648251654059066285072949428515173e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.826751708984375e1), SC_(0.3439297378063201904296875e0), SC_(0.96231456672706330197751945234594804514605578493294e1) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.91501369476318359375e1), SC_(0.62561857700347900390625e0), SC_(0.11697431340770649519046006010297689812160093617617e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.929777050018310546875e1), SC_(0.81576907634735107421875e0), SC_(0.13689559632918850897185479014035065907489555706468e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.93538990020751953125e1), SC_(0.7802274227142333984375e0), SC_(0.13252477031585661466687278470237361058228506710271e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.93773555755615234375e1), SC_(0.669285118579864501953125e0), SC_(0.12219207125307825999387228477920190151422215626939e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.98576259613037109375e1), SC_(0.811257660388946533203125e-1), SC_(0.11000670184663049479533855890007560504469595099336e2) }}, 
+      {{ SC_(0.201027393341064453125e0), SC_(0.992922687530517578125e1), SC_(0.379418849945068359375e0), SC_(0.11497477476964669120779679338120232828710984170976e2) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_rc_data.ipp b/src/boost/libs/math/test/ellint_rc_data.ipp
new file mode 100644
index 000000000..4acca61c9
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rc_data.ipp
@@ -0,0 +1,214 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RC, each row contains in order:
+//
+// x, y, RC(x, y)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 201> ellint_rc_data = {{
+      {{ SC_(0.11698430441812742785454260394458960094979845402414e-30), SC_(0.1429457475085533184e20), SC_(0.41546482167023371731518451342517736095263780557582e-9) }}, 
+      {{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.11098537606275153066313383027431717728910787699004e-4) }}, 
+      {{ SC_(0.75974287571611502022633594876763844865744160884209e-30), SC_(0.20657736771171195551744e23), SC_(0.10928951720653730370271800759007590309935803177545e-10) }}, 
+      {{ SC_(0.10711124272997777587041261201942927950011067906889e-29), SC_(0.47946235e7), SC_(0.71736902777915132997000781571354752397421561836787e-3) }}, 
+      {{ SC_(0.22148209406780902835423848339554340607932845033396e-29), SC_(0.19855378956352178823888896e26), SC_(0.35251758550831167800571476411635458611576128740787e-12) }}, 
+      {{ SC_(0.41366469991877353664505423235416110752209856263632e-29), SC_(0.1080339869874636584075679427013641468012674864323e-29), SC_(0.73882898278016317196709226502699714371366335165311e15) }}, 
+      {{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.30483276103299498395114390375939883603035900740311e-6) }}, 
+      {{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.25778133019186154518263488635604654249614963342631e5) }}, 
+      {{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.40389133730438812928090167163598082343384172921425e-7) }}, 
+      {{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.14920144492544889019454092007748150269559896140113e-3) }}, 
+      {{ SC_(0.19696330564073048658818435820590984305819001943432e-28), SC_(0.32238440243425309843308409068705787565729120602853e-24), SC_(0.27528315706771612956183484092479935495449666128525e13) }}, 
+      {{ SC_(0.3000732163818651513042917353020530062720192427143e-28), SC_(0.28816120624542236328125e1), SC_(0.92534167116491481810744772274112199743911312596723e0) }}, 
+      {{ SC_(0.47155488899394500240213479534565823420775918905622e-28), SC_(0.4463543296e10), SC_(0.23511481798013935669754503155612804985989597208762e-4) }}, 
+      {{ SC_(0.65104581211365760324995297566040105840304400052279e-28), SC_(0.700861590985368820838630199432373046875e-9), SC_(0.59334016337111736885565181305039468621938956693965e5) }}, 
+      {{ SC_(0.3949284499458758322165682321378970124179942071882e-27), SC_(0.670079424e9), SC_(0.60681559827956246896673839347875883912858354314319e-4) }}, 
+      {{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.41150783369497640278522169895393702894524362953078e9) }}, 
+      {{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.51706725181069699755346169652670461023196225991383e6) }}, 
+      {{ SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.51905646303429040628284185654450766378431580960751e-16), SC_(0.21802745983479448951816941696856049925016007329412e9) }}, 
+      {{ SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.22041878790098954794667581190100145257683475089988e1) }}, 
+      {{ SC_(0.16793731632787596740420928687663819571897812904515e-26), SC_(0.3518738464768e13), SC_(0.8373873246615759174577066128415186701403437615454e-6) }}, 
+      {{ SC_(0.38344456302173223195286237326130017242619817813276e-26), SC_(0.1287535325337014953720268054032123824574619620157e-27), SC_(0.39122934559161731153423283680987267387840851196098e14) }}, 
+      {{ SC_(0.39915753210320770987303899714279126384431587576396e-26), SC_(0.21695373623974084952946051325821291927687106275468e-28), SC_(0.52362555864098150198972240138118002904488963483036e14) }}, 
+      {{ SC_(0.4719122320543576863524228422930565122003386188676e-26), SC_(0.13622372113626680630865559552e29), SC_(0.13458402336127820973876482234542361593374249767564e-13) }}, 
+      {{ SC_(0.60865414403362585004788968196643994088311036341765e-26), SC_(0.123742392e9), SC_(0.14120842972598363583851550459968997099008965981731e-3) }}, 
+      {{ SC_(0.10912435391066719332460695603753930316446923640128e-25), SC_(0.701712293691392e16), SC_(0.18751686532816272762803237369940986207556087504473e-7) }}, 
+      {{ SC_(0.11837831633021164326650292224515978315498715423004e-25), SC_(0.27219574150194603134877979755401611328125e-7), SC_(0.95209265255492104735446619994567552559697239051341e4) }}, 
+      {{ SC_(0.27826294978205525521980137859608542144911232096849e-25), SC_(0.87440356429873925658498856170228582591246249688943e-25), SC_(0.39786583496854506510922922833320145505046484128036e13) }}, 
+      {{ SC_(0.34919368622379363366113344149995795887854964367758e-25), SC_(0.253342638931968e15), SC_(0.9868831456740266966933448023215284826954206363932e-7) }}, 
+      {{ SC_(0.43573388456807634241895548780677530339229715228289e-25), SC_(0.4951682e8), SC_(0.22322534554145528116293051775479117197834119520022e-3) }}, 
+      {{ SC_(0.60515264161661452673922225736467336588411333742066e-25), SC_(0.787468255232e13), SC_(0.55976191846459760569727531324370941602465103140201e-6) }}, 
+      {{ SC_(0.14044194233643483429544463937103636612564738772591e-24), SC_(0.11511007425024644135191920213401317596435546875e-10), SC_(0.4629810115470076825533605597799208284244799296532e6) }}, 
+      {{ SC_(0.14235380836999617679740726134029336127093459674064e-24), SC_(0.13978527726259656235898667313173260930711863658793e-24), SC_(0.26665402305818478969438170708975555299492041941187e13) }}, 
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+      {{ SC_(0.6869200625e6), SC_(0.12406291034494643099606037139892578125e-5), SC_(0.17148853609122838287334270730377713622015582671517e-1) }}, 
+      {{ SC_(0.9115189375e6), SC_(0.179409878467662494683889664e27), SC_(0.11727263974665223656008245016259368445874373950871e-12) }}, 
+      {{ SC_(0.39914275e7), SC_(0.5617260831058956682682037353515625e-4), SC_(0.66003352582444822055431410346869855793086865122376e-2) }}, 
+      {{ SC_(0.15278292e8), SC_(0.14619622e8), SC_(0.25961118278381005988486780674736203564957112818546e-3) }}, 
+      {{ SC_(0.15583587e8), SC_(0.46741176605224609375e2), SC_(0.17863256980859237735262630967043753358312118433161e-2) }}, 
+      {{ SC_(0.2359947e8), SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.85438729190979830430450108794113432317121617101695e-2) }}, 
+      {{ SC_(0.44006012e8), SC_(0.41172763385266176e17), SC_(0.77411561887565592752972899889991015699435496559546e-8) }}, 
+      {{ SC_(0.4426536e8), SC_(0.89961878334825112180062577083017316681434749625623e-18), SC_(0.45500003788487494954911364150613981149754477134657e-2) }}, 
+      {{ SC_(0.14248488e9), SC_(0.61731988312258099732254031872e29), SC_(0.63221492521852077836928323850507110790467251568351e-14) }}, 
+      {{ SC_(0.156271296e9), SC_(0.13287944602780044078826904296875e-3), SC_(0.11670991383498154005718703499716739301912113499221e-2) }}, 
+      {{ SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.29911423091309748142593311126423073053561438997539e-6) }}, 
+      {{ SC_(0.355727936e9), SC_(0.49794778812580822691949943719295546451682199506905e-24), SC_(0.20422111659287768080880666674695585733215224225899e-2) }}, 
+      {{ SC_(0.1626075136e10), SC_(0.482386627197265625e2), SC_(0.23211090322482879766302355319080524745211784432509e-3) }}, 
+      {{ SC_(0.2606333696e10), SC_(0.12266837021255184297929829995155159849673509597778e-13), SC_(0.53963700104507610983907942976446519710715041862358e-3) }}, 
+      {{ SC_(0.3957605632e10), SC_(0.55799657429356219751070966594852507114410400390625e-13), SC_(0.42920548607924953119431231450313296279672960982957e-3) }}, 
+      {{ SC_(0.7740245504e10), SC_(0.589840515072e13), SC_(0.63227008905693272145832965758127025031892199413741e-6) }}, 
+      {{ SC_(0.10259405824e11), SC_(0.35736448257653877024582131372021365223190514370799e-17), SC_(0.31894320284009100162338080720486603695808737357409e-3) }}, 
+      {{ SC_(0.14041162752e11), SC_(0.16802999673239973138530304e26), SC_(0.38320084631624641337451768839752529254504071282248e-12) }}, 
+      {{ SC_(0.82854125568e11), SC_(0.58830391620982291911135882706044579926359106014644e-24), SC_(0.14299276138191576425667241629897528275040512189828e-3) }}, 
+      {{ SC_(0.11738591232e12), SC_(0.761073704058645716941100545227527618408203125e-10), SC_(0.7322171577268687983119525908536326486897490571614e-4) }}, 
+      {{ SC_(0.191893782528e12), SC_(0.174726296875e6), SC_(0.17458388731589946205436634365599236215476886257278e-4) }}, 
+      {{ SC_(0.446171086848e12), SC_(0.49623249953612003082525916397571563720703125e-9), SC_(0.37153579565929854820799756427432381213691623554542e-4) }}, 
+      {{ SC_(0.572994879488e12), SC_(0.4479686882443445386870784e25), SC_(0.742157274353212118943917435113707955824870795782e-12) }}, 
+      {{ SC_(0.92746285056e12), SC_(0.7325884342193603515625e1), SC_(0.13992334087709732045223614104220216290282058103286e-4) }}, 
+      {{ SC_(0.13073324703744e14), SC_(0.48555353730121618377670656e27), SC_(0.71285511551986730987092942275962922466144519563445e-13) }}, 
+      {{ SC_(0.1591604150272e14), SC_(0.351564170056957952e18), SC_(0.26379290397755114021116829042194283811143014246219e-8) }}, 
+      {{ SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.20837274754438050716836877714486012090201227681745e-5) }}, 
+      {{ SC_(0.31191365320704e14), SC_(0.2293932139873504638671875e0), SC_(0.30376223823640976472682511381218417507215286561237e-5) }}, 
+      {{ SC_(0.51712110886912e14), SC_(0.156551992965379627797503279104e30), SC_(0.39700005931080030246901295737647079077294776223606e-14) }}, 
+      {{ SC_(0.14830236860416e15), SC_(0.57842544071306897015280826246375056598481023684144e-17), SC_(0.30262887085625134071904723108221624416890211410925e-5) }}, 
+      {{ SC_(0.3135611338752e15), SC_(0.2348838144e10), SC_(0.37238603812796720490349747070177231425073166090273e-6) }}, 
+      {{ SC_(0.323813657018368e15), SC_(0.156708486328125e5), SC_(0.69847661515884606972303830302067390332677255420951e-6) }}, 
+      {{ SC_(0.530327327997952e15), SC_(0.10366431646728266850195727608041629252966231433675e-18), SC_(0.17153262952128191564833782071342486326068147437365e-5) }}, 
+      {{ SC_(0.727262651482112e15), SC_(0.1535589888e10), SC_(0.26799428982612804774219551247863136845480307410692e-6) }}, 
+      {{ SC_(0.95759886188544e15), SC_(0.4659874708323741288040764629840850830078125e-8), SC_(0.8897375003298093960305950194491436152687587334261e-6) }}, 
+      {{ SC_(0.1551973144854528e16), SC_(0.10139344880747031860591903938868807433237861914677e-19), SC_(0.10458468387194864418446638976290709697775378499213e-5) }}, 
+      {{ SC_(0.183459460939776e16), SC_(0.58535432060362684618705258305616519358052915120161e-26), SC_(0.11315636043901720121388837656247249664177763590949e-5) }}, 
+      {{ SC_(0.27152649027584e16), SC_(0.66861986169897136278450489044189453125e-6), SC_(0.49072897074683974426280640967267909946582802584589e-6) }}, 
+      {{ SC_(0.3762704347037696e16), SC_(0.10164524532769642241629852708355797252185587220552e-24), SC_(0.77271884197062324056183842244132156703113101877894e-6) }}, 
+      {{ SC_(0.6551729407524864e16), SC_(0.25762003497220575809478759765625e-3), SC_(0.28457658270165863549014595037995212294784586710095e-6) }}, 
+      {{ SC_(0.9007602981666816e16), SC_(0.25765624e9), SC_(0.98811088491194357965387716654259888241690606624295e-7) }}, 
+      {{ SC_(0.31614863423832064e17), SC_(0.64014885e7), SC_(0.66664506125039749834276834929108360333353634282303e-7) }}, 
+      {{ SC_(0.45080659638616064e17), SC_(0.66192871423119660955992064e26), SC_(0.19306655679013338902506375891076552233340289260346e-12) }}, 
+      {{ SC_(0.59877638017122304e17), SC_(0.53512100536178474827209150532780768116936087608337e-15), SC_(0.15362013975191677793880105907602135335521807551786e-6) }}, 
+      {{ SC_(0.128395461743607808e18), SC_(0.206836903384823477636694016e27), SC_(0.10921919594473705616931168879025397857363831649357e-12) }}, 
+      {{ SC_(0.140845240494850048e18), SC_(0.15238641357421875e4), SC_(0.44689988476580111818524171778021205499463465100743e-7) }}, 
+      {{ SC_(0.245924553149120512e18), SC_(0.12432241406593107741605394588021265875441186132822e-25), SC_(0.10191370089476240496442184751961162333606213558986e-6) }}, 
+      {{ SC_(0.10302131894484992e19), SC_(0.86229714468864e14), SC_(0.53078949279350852244495899285397248236587855360507e-8) }}, 
+      {{ SC_(0.4173026783555223552e19), SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.25259325443772059313156731529761618841007461413987e-7) }}, 
+      {{ SC_(0.38083625921602912256e20), SC_(0.14043506688e11), SC_(0.18721812477205878318873337191745626686057078380972e-8) }}, 
+      {{ SC_(0.6036870791327383552e20), SC_(0.7191220191232e13), SC_(0.11151877475097208967247771680064286641451016014729e-8) }}, 
+      {{ SC_(0.140771054246300745728e21), SC_(0.4364620208740234375e2), SC_(0.18544022482541756413624180462592298070565733208098e-8) }}, 
+      {{ SC_(0.229345916576958775296e21), SC_(0.181080293376e13), SC_(0.66174853669110756842649598160820882183579693595045e-9) }}, 
+      {{ SC_(0.486625867239520206848e21), SC_(0.2663514463837359985504355062296832912238642165903e-19), SC_(0.21326856610092306285181605511492710866111336973419e-8) }}, 
+      {{ SC_(0.1241846768099137683456e22), SC_(0.16907547929525060340181807204941172504655995389999e-25), SC_(0.15507902235497089042906909015124525282864868106372e-8) }}, 
+      {{ SC_(0.2085586588137791946752e23), SC_(0.1494682042368e13), SC_(0.85673852855596798336664141721336700864507390102108e-10) }}, 
+      {{ SC_(0.140444835444342210428928e24), SC_(0.468889537015105749778432e24), SC_(0.17303641617108978771183397785345947512931840394585e-11) }}, 
+      {{ SC_(0.277204771630374352584704e24), SC_(0.178649388253688812255859375e-1), SC_(0.56400743476075289901756964355291370430816192512748e-10) }}, 
+      {{ SC_(0.292186842467552253181952e24), SC_(0.8000304500511383121995759616e28), SC_(0.17494456350937238152051998129209403413657779766045e-13) }}, 
+      {{ SC_(0.404188410838900933656576e24), SC_(0.15307389070737408e17), SC_(0.14530172405497225203148631842861632557097281219397e-10) }}, 
+      {{ SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.75206449301552958256440392567562049430798996389352e-10) }}, 
+      {{ SC_(0.48688847917066659823616e24), SC_(0.12212552573408426924125600686592708205013835254249e-21), SC_(0.76232145024480748870634232091696723820904729119412e-10) }}, 
+      {{ SC_(0.1611108507323484384264192e25), SC_(0.11971012087915599989354498156046702206367626786232e-15), SC_(0.3694442785175160419076949350029585599009031148763e-10) }}, 
+      {{ SC_(0.1626183676572159287754752e26), SC_(0.18501463382170069138510370976291596889495849609375e-11), SC_(0.10719260914536354712818827718038676299273171700718e-10) }}, 
+      {{ SC_(0.18820064668587267094216704e26), SC_(0.302210201308383830109960399568080902099609375e-9), SC_(0.93936394693848721355885906623218887308774325852727e-11) }}, 
+      {{ SC_(0.24925849334950778558742528e26), SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.11646010681447365669777654446715227593887198721003e-10) }}, 
+      {{ SC_(0.9036469625899950631026688e26), SC_(0.690641880035400390625e1), SC_(0.31148497090217722784373888164259764652317411281318e-11) }}, 
+      {{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.52109798218409315418287118331564136634721278594953e-13) }}, 
+      {{ SC_(0.19445130267235161963321360384e29), SC_(0.27158976561908717618255837411567199524142779409885e-16), SC_(0.37530178368631060137545101809988924309836018928577e-12) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_rd_0xy.ipp b/src/boost/libs/math/test/ellint_rd_0xy.ipp
new file mode 100644
index 000000000..98ccc8155
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_0xy.ipp
@@ -0,0 +1,327 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 315> ellint_rd_0xy = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.1535471523766956940812740575030356968495e-01) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.0717437558448518532547462405404765555061e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.3932311031545657646532945220596007253853e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.7212017845697288356792294777473638606630e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.7957823840226308755899329594824613400050e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.7668041410711055565150911102514168202444e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4082635211423949270899273279208849948950e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0936577106018600550050948059701375535965e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0927224311392111509762300524154616559408e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.9485871370522737614280788081416848501852e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3014199848886343378433644802101640228147e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.0902597114493739169492153846176680961120e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(5.4404743630872601322044219411211264448276e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(5.3779123950369648728047021976232506904878e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.9553078037776762936055219615496245247262e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.1149689157296335195366526849328034623716e-01) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.8114409309837769194419921246829335385283e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.1568930269574426384779102130227276981098e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.5767525643841455625283023794245840260592e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.6820297868146892795440731689537930997924e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.6862882532642917151465380550351898517426e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3390622438078300866025414467437203424645e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0643334035074172382929575499680538216204e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0634253290399354133130418256283163159730e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.7126662147490751092414863027408816739671e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.1400171974513749679571995778609392500095e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.9346959240955347535297997305896263811885e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(5.3027658693503968434675194114026206080610e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(5.2419136555538234848107841599641295239366e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.8308127492895168138755357973323067250587e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(9.0869727467428903989513827376477370133866e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.4171940932081595274867420071802595196195e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.8905198924746176828196819284588087736097e-02) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3822396993637084960937500000000000000000e-01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.8014220411464930655755245581248789535610e-02) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.0589934855429368829065950003506398544470e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(8.3849175563557965789059120557651156206561e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(7.5687807504428616241526172398845335284954e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(4.2289312061252897769651810081962246336551e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(4.2262639826525273832481442078736914481815e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.6472860639500058559574280608356788547115e-04) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7454557166811654815332080361125585383394e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5258756741446651449592050641989686271256e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.5043766449220610390957195237702043626112e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.3573546977916523989520646519712839887111e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.6946672019201401467980108192462716249838e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3005914606163249287858300403301553768427e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2187956262225867274400204482920659217957e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(3.7676391601562500000000000000000000000000e+01), SC_(8.7527061275689414611715799582698608990927e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.4535409782603055849685563830711171450890e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.9073704976572940077629969910512432912632e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.3349452459505100204280282587700733194320e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.9909978426640776708381029382899087147669e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.9891245393051668897946620265205248403917e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.5823987072748828091052496666380391631277e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9976635977602348011565626789256752151964e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9484359569806518435571302454180372001665e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7939669683612487709421556124005812046622e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7788400266968487366654087251985845191534e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6753785597955532825595684637654588803235e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.2097260064981102770849622511308307130137e-03) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.2875071821457557083573498286518889898796e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.7042703816124525588471593096402204303124e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(6.2546046112407404442712432881973252638685e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.3280559691560363985233530482846311861753e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(4.2252103928849259790243255072117586440035e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.8168618458027561058004473840717933768932e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.1442567938036604754371432894731828252683e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.1429195212919977953619739244141503140663e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8525438348355167597700262316423644606871e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.4349416613721303103181946502152804880178e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3997747520314601786904634670336361208891e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2894137405839947138484775203157292698110e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2786051389225657501718069472152796222930e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2046734200620860896002509153077836895925e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(8.5555004727173194425093431952436941495506e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.5697838339097211315669949192151907325060e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.1575844148787041907824022806498200142796e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.4262234968527694529445958239357121340708e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.7713185094263970639451992687014046747358e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.9917519936228419123059158772350843142112e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7030839281444140570561947384523774827058e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.5204980262938681215199126994932134768379e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.5195523358542722821658420349935283253579e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3141928704620653494297491242757031023078e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0188023759871918599799414541910734574022e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(9.9392327050933260625428566858473981429774e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.1584262767962584654103273143367947153104e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.0819509137639013935229635108953892408397e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.5588306323552019123084706590382894161520e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(7.8884109703348368548014504318992881174567e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.0577386749078984476952689758438421525050e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.6777219449715619506727273677497053963863e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(4.0815277835937081136681849476938325610455e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4777448455434448246212099061872541530503e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(2.7590243684217373359283798110125577233594e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4928844475182541219856740935350581710332e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.4025621862177645484625664359755473111848e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.4016902496412669834209086627922066206588e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2123449557430056053937740985283279503714e-04) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(9.3998171734539930021130833248307417404866e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(9.1704152662667944691518160451066475832448e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.4504528346111748935012060692543789677237e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(8.3799361701054879622124170730583183096221e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(7.8975724141193394125400099991579415533477e-05) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_0yy.ipp b/src/boost/libs/math/test/ellint_rd_0yy.ipp
new file mode 100644
index 000000000..4389fe2fe
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_0yy.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rd_0yy = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.5075933427301716232672795034855345692850e+49) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.2199407235554817226615307866947803938564e+49) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.2354891815381075869697810446193501064438e+48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9591526532522238800125709320252743161241e+48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.4391377787499269400927485477485886768717e+48) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(2.2034876750953806189172437564774275736541e+47) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(8.1318624868386456742114211802159880281555e+46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(5.6396714463599834543132107821392013656837e+46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(1.2899620817873123488958262770226551475010e+46) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(6.3571243221039164981188237286935464910062e+45) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(2.9246892262678841512667853928021133305832e+45) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(6.1778490048502380351529857344675390759941e+44) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(2.9078388270756910613550920230806241035946e+44) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(1.1472064694021494573881450931960080790526e+44) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.7311469634494727792399520940657654512231e+43) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(6.6033356137966398138516962580399577046152e+42) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(2.3982014064068530283911440001042264840411e+42) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(8.2319771677314581385498523947797460816717e+41) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(2.9808741945019792609548473554157723415638e+41) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(1.0516444901620232783721998493769337461329e+41) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(8.2397791221868831084700129809818532631473e+40) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(1.6003510785687549140380943789426537461361e+40) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(4.6374082021103840466514853911190947500707e+39) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.6265327427673199292492683523168879331831e+39) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.7437463494176452573758584103072608457383e-49) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(5.0822723761830381176597034725085270215632e-50) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.8838098141007479934327118196252617895602e-50) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_data.ipp b/src/boost/libs/math/test/ellint_rd_data.ipp
new file mode 100644
index 000000000..64e664330
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_data.ipp
@@ -0,0 +1,214 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RD, each row contains in order:
+//
+// x, y, z, RD(x, y, z)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 201> ellint_rd_data = {{
+      {{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.10313978271484375e4), SC_(0.20551372495384815463856604017047221545095240191057e-7) }}, 
+      {{ SC_(0.13810928266794127506964991575307193802925529863273e-29), SC_(0.2529551275074481964111328125e-3), SC_(0.7030536597341097149183042347431182861328125e-8), SC_(0.26827491422802771467722943731540343461246213838861e11) }}, 
+      {{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.2085586588137791946752e23), SC_(0.10585138723496739834534066073267118675522211779171e-31) }}, 
+      {{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.32517390764125836699536241120728208287005145393778e-20), SC_(0.15139742233407639223792275679902886417433224652453e26) }}, 
+      {{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.11666782739894188125617802143096923828125e-6), SC_(0.66117253645648417600031762235375783237535720054585e0) }}, 
+      {{ SC_(0.80490202086679616440767211156605911864354431197377e-29), SC_(0.263248904192e12), SC_(0.297980882347216843954978816e27), SC_(0.10333434770883940055455846219131687005742728721005e-37) }}, 
+      {{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.210290006361901760101318359375e-2), SC_(0.13550514102538012513935665942320904977981297554257e0) }}, 
+      {{ SC_(0.27790564235134654243337661318427908127768828411199e-28), SC_(0.21656921296023725949679903214975529301966616912978e-20), SC_(0.16200692698475904762744903564453125e-4), SC_(0.85856403820113222790454310518632166416049096576362e9) }}, 
+      {{ SC_(0.75787209056271355952485380019348769132814133643247e-28), SC_(0.3443290234375e5), SC_(0.87738095954812459262649215691458087947041111220869e-24), SC_(0.18256962837089036695688975681087926934231777165353e23) }}, 
+      {{ SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.1116302655645995400846004486083984375e-5), SC_(0.5191992844812585795584e22), SC_(0.25853043071836854153543603031360043116599575432972e-30) }}, 
+      {{ SC_(0.1287535325337014953720268054032123824574619620157e-27), SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.25453721736248252436275234446728359554220261644493e3) }}, 
+      {{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.36729174819285901249546490822632941293048355712711e36) }}, 
+      {{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.86422194270699415064029835775727406144142150878906e-12), SC_(0.10781910269701214744433782310389927085727282773814e19) }}, 
+      {{ SC_(0.11649136528196886067987694424015483218044894522109e-26), SC_(0.36767340167168e14), SC_(0.4968523085117340087890625e0), SC_(0.99577870866168728614595399908281899687867831139901e-6) }}, 
+      {{ SC_(0.25172518744793432127678756566548684645107602196601e-26), SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.23283511871909436551998718906785080640182682915363e8) }}, 
+      {{ SC_(0.28601321158264026057365024112938563807684451932578e-26), SC_(0.40558081566683637682324548023871102486737072467804e-15), SC_(0.208714828125e6), SC_(0.76237261396619453885730994908723652541092525168043e-6) }}, 
+      {{ SC_(0.73955594308673193523198369636584653936223991005372e-26), SC_(0.15995684594580228399252064264146611094474792480469e-12), SC_(0.170420291286861873152e22), SC_(0.1687006236430131643441016712281856878753726523535e-29) }}, 
+      {{ SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.2247014312744140625e3), SC_(0.275117858615052709715247104e27), SC_(0.18485690522734605390476411600907452658544362635922e-37) }}, 
+      {{ SC_(0.34857664908449107348958795506280082952452713251912e-25), SC_(0.4151866912841796875e2), SC_(0.84098145009994339684283693509730169685090217512879e-22), SC_(0.54257544703354289137242893169458880766652554745316e22) }}, 
+      {{ SC_(0.34919368622379363366113344149995795887854964367758e-25), SC_(0.253342638931968e15), SC_(0.7562174072265625e3), SC_(0.249241547815296223838694888499925239323224138633e-9) }}, 
+      {{ SC_(0.43573388456807634241895548780677530339229715228289e-25), SC_(0.4951682e8), SC_(0.27826294978205525521980137859608542144911232096849e-25), SC_(0.68052511685869677076187126812000404571638179018885e22) }}, 
+      {{ SC_(0.79820903020739723608895214436397557193018231780357e-25), SC_(0.64729720161775472443612539086288393264112528413534e-17), SC_(0.68450550546432e14), SC_(0.19125532541215326384896730405964498227631338694385e-18) }}, 
+      {{ SC_(0.87440356429873925658498856170228582591246249688943e-25), SC_(0.897631640625e4), SC_(0.386145068359375e4), SC_(0.70431488067233168809120506088634745460689092194161e-5) }}, 
+      {{ SC_(0.94440849851249091320281320378524601844016927998382e-25), SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.12588696277491280442424745508482566976425259261561e-18) }}, 
+      {{ SC_(0.14235380836999617679740726134029336127093459674064e-24), SC_(0.13978527726259656235898667313173260930711863658793e-24), SC_(0.2028485946357250213623046875e-1), SC_(0.27366411869676160015961055866442893198667542321359e5) }}, 
+      {{ SC_(0.19953517994584643852448181812338140391502663839596e-24), SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.13886820075171731514726499953757541277555907027004e-11) }}, 
+      {{ SC_(0.24754359063412526643006257824154938047573476511687e-24), SC_(0.542938704356835328e18), SC_(0.44974670432440498891960159215184658369128360699829e-26), SC_(0.10752772537029819829836280199737653161290081988757e18) }}, 
+      {{ SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.446171086848e12), SC_(0.49623249953612003082525916397571563720703125e-9), SC_(0.90507658227268922734361508605808168072270615976688e4) }}, 
+      {{ SC_(0.49794778812580822691949943719295546451682199506905e-24), SC_(0.1241846768099137683456e22), SC_(0.16907547929525060340181807204941172504655995389999e-25), SC_(0.78343915398198934519415679862427240727586271564883e15) }}, 
+      {{ SC_(0.56225779987930131445265275562229206527363467582603e-24), SC_(0.59220483766176692878700381014733800100202643079683e-19), SC_(0.170295034922225631232e22), SC_(0.20048163240230817674563773499193885173665982026089e-29) }}, 
+      {{ SC_(0.63171350201374448567926894124993295043246632758382e-24), SC_(0.34594001439795600424927311319582115491182941913878e-27), SC_(0.63795086741914598182229839666991088459324643622494e-23), SC_(0.30128244387255120033790929863955407018683622956366e36) }}, 
+      {{ SC_(0.13769532587968157644195235343886302517048270122046e-23), SC_(0.2007315487162486533634364604949951171875e-6), SC_(0.484821384427736035149791860021650791168212890625e-10), SC_(0.13804448026385854623972866111304415486550268685946e15) }}, 
+      {{ SC_(0.1809900535358029636909945199492450026643175498009e-23), SC_(0.4521496521192602813243865966796875e-5), SC_(0.8669365225699721122509799897670745849609375e-10), SC_(0.16273113459057256254769276696724703797987842259227e14) }}, 
+      {{ SC_(0.23768503319901658006414734019219381138884883419848e-23), SC_(0.545301093941248e15), SC_(0.1237108193663516431115567684173583984375e-9), SC_(0.10384732803004085499895888503014146907429299054875e4) }}, 
+      {{ SC_(0.30307608021550191165014175615417981032514993522398e-23), SC_(0.112407951746718026697635650634765625e-5), SC_(0.2082685879058432e16), SC_(0.78504137547976820009624215245629935490941195781392e-21) }}, 
+      {{ SC_(0.62520772668534154026944814518561754825703991045316e-23), SC_(0.19445130267235161963321360384e29), SC_(0.27158976561908717618255837411567199524142779409885e-16), SC_(0.79176099627370786959440226480012961415298742955765e3) }}, 
+      {{ SC_(0.13102694856934221302627057835335012189043046859638e-22), SC_(0.557648090759990083584e22), SC_(0.511986668338959560742296162061393260955810546875e-10), SC_(0.78466137092077764354738487755677479556614922112935e0) }}, 
+      {{ SC_(0.22752379870925977520487843277428559665698237779452e-22), SC_(0.169495918280704e15), SC_(0.106314858496e12), SC_(0.21650121297190654998249828534683860885914030587266e-17) }}, 
+      {{ SC_(0.25335998731998849030698736206528910198942927678445e-22), SC_(0.99404931640625e3), SC_(0.204871795654296875e3), SC_(0.42132166564785080959023378471888313620164092769291e-3) }}, 
+      {{ SC_(0.34646067293379381351152691325339738961930358129848e-22), SC_(0.26973976499394821796760860105960760360263583912399e-23), SC_(0.238645943284598871514390339143574237823486328125e-10), SC_(0.35432548942737632785957707186626141058866961729541e18) }}, 
+      {{ SC_(0.71863877935764437100797607417958061393203905709015e-22), SC_(0.174722980453023744e19), SC_(0.13073324703744e14), SC_(0.1736004266338139270794293208784155064732837114576e-21) }}, 
+      {{ SC_(0.96362472102334232055222076765519517715929964651878e-21), SC_(0.229194643907248973846435546875e-3), SC_(0.354709317473833607436972670257091522216796875e-9), SC_(0.55865475580945127826780252757531774517543358031385e12) }}, 
+      {{ SC_(0.27589042212186362242123678200494962808875243354123e-20), SC_(0.16342684e8), SC_(0.10564504593401150001064081607182743027806282043457e-12), SC_(0.70232843197284835279286086968072241001475849391442e10) }}, 
+      {{ SC_(0.10233203223084091273258880352287070181205308472272e-19), SC_(0.85809811133878005628972118756792042404413223266602e-13), SC_(0.231948544e9), SC_(0.21282358830663000454676497251299241238551176927446e-10) }}, 
+      {{ SC_(0.18673345450030310831705831391483241255002667458029e-19), SC_(0.16140768350376832622251404282443946390469477480956e-24), SC_(0.35751782069791464758326094786154009108614104661683e-22), SC_(0.57362515961254887975882907105995424791809261862104e33) }}, 
+      {{ SC_(0.21109476364529939751075359117074570214356299402425e-19), SC_(0.8756801014807582267041677127782781970980266472715e-25), SC_(0.19232578752860259808180970650021732008816410797181e-22), SC_(0.10040849239749431240730130421363049484424180456536e34) }}, 
+      {{ SC_(0.48988976909583188869227858043553514022505623870529e-19), SC_(0.20838384443777613341808319091796875e-4), SC_(0.15278292e8), SC_(0.70563639547351817695354788729725173202298905165509e-9) }}, 
+      {{ SC_(0.82997499668329372719087076888666576479636205476709e-19), SC_(0.13155479315039595949803718770027355301939497866925e-23), SC_(0.1327809695148788465823841420387907419353723526001e-14), SC_(0.32382452643409713657086228689471450756020929884496e24) }}, 
+      {{ SC_(0.16677509527778160624086499150275919589603290660307e-18), SC_(0.50082130538252574789989333416135111329551950562359e-29), SC_(0.27393523857242675896004658903787332135948417999316e-20), SC_(0.26379890286497467800536742716267974869467674676907e31) }}, 
+      {{ SC_(0.30420727664434581210352358596193944606511649908498e-18), SC_(0.28656053473241627216339111328125e-4), SC_(0.94969911521617292598785838378394608128019171999767e-19), SC_(0.21152520435266024826733886337057191990575481859773e22) }}, 
+      {{ SC_(0.75868695590633990953827528458397466692986199632287e-18), SC_(0.930611462144e12), SC_(0.18147922618313051311153033283257685840533790511131e-24), SC_(0.83768344778024722769204816337111831433373325848511e16) }}, 
+      {{ SC_(0.79597584432992412060764095271814255738718202337623e-18), SC_(0.75974287571611502022633594876763844865744160884209e-30), SC_(0.20657736771171195551744e23), SC_(0.47403170903497016250215067728483228381506772219895e-31) }}, 
+      {{ SC_(0.12784377253954858878954355810853016350847610738128e-17), SC_(0.687874899968e12), SC_(0.2496727752685546875e2), SC_(0.14487562897240575462420431915733354323986381404974e-6) }}, 
+      {{ SC_(0.22468750405760049766485005051652734664457966573536e-17), SC_(0.20721947294077835977077484130859375e-4), SC_(0.33333534375e6), SC_(0.1891939096717128299814570834532131624242218004607e-6) }}, 
+      {{ SC_(0.33297255999405977634352134242323728585688513703644e-17), SC_(0.31191365320704e14), SC_(0.2293932139873504638671875e0), SC_(0.23416581491449832804939246015659888605843645930834e-5) }}, 
+      {{ SC_(0.35736448257653877024582131372021365223190514370799e-17), SC_(0.1626183676572159287754752e26), SC_(0.18501463382170069138510370976291596889495849609375e-11), SC_(0.40153851788485548350521938534047362493332593188358e0) }}, 
+      {{ SC_(0.46871312598868006987253009842930850936681963503361e-17), SC_(0.3093168493023691324522496e26), SC_(0.16793731632787596740420928687663819571897812904515e-26), SC_(0.60797270634828688834833132685695209121001352766598e10) }}, 
+      {{ SC_(0.57842544071306897015280826246375056598481023684144e-17), SC_(0.29870528793496387010009129880927503108978271484375e-12), SC_(0.2262512535863296e17), SC_(0.29646119268293442517889863887012770015886764481583e-22) }}, 
+      {{ SC_(0.152616857880340486461855087352290638591512106359e-16), SC_(0.2803833618070566221119488e25), SC_(0.130162216009921394288539886474609375e-4), SC_(0.13764477533975189296577420989460030210624358668897e-6) }}, 
+      {{ SC_(0.27022364375023134885640124780437076879024971276522e-16), SC_(0.27506543358959030582888269221280574638246675400223e-29), SC_(0.10302131894484992e19), SC_(0.11533202298793762115879808476821158493089208267767e-24) }}, 
+      {{ SC_(0.51905646303429040628284185654450766378431580960751e-16), SC_(0.15583587e8), SC_(0.46741176605224609375e2), SC_(0.16258625638384341129980088810715602413277009050755e-4) }}, 
+      {{ SC_(0.54374770505732477601443242143375300656771287322044e-16), SC_(0.4562802734375e3), SC_(0.10197021348467909816516131089894163913918803398168e-29), SC_(0.18861228040658158783485684274667884467513804993808e23) }}, 
+      {{ SC_(0.60475637804894883005346617466102543403394520282745e-16), SC_(0.56145323516737172227849140410116390853545453865081e-18), SC_(0.64836257251954521052539348602294921875e-7), SC_(0.19426856083161503849129240968279840607620575171493e13) }}, 
+      {{ SC_(0.17055543082513291604229710429763144929893314838409e-15), SC_(0.6943710148334503173828125e-1), SC_(0.61840874921367523613102701318666731822304427623749e-15), SC_(0.12070723069489973584177449356829135215953130632198e17) }}, 
+      {{ SC_(0.31354745663454523796342954256033408455550670623779e-15), SC_(0.18973853599391077295877039432525634765625e-8), SC_(0.15741248433312655941040958396115456707775592803955e-13), SC_(0.38340329268483399676355291918194933462116017467071e19) }}, 
+      {{ SC_(0.92657114094649205629505850367877428652718663215637e-15), SC_(0.32666126748015500425026402808725833892822265625e-10), SC_(0.62660384591791979530528422515089914668351411819458e-14), SC_(0.60469431091148756507917001500985998650828444618344e20) }}, 
+      {{ SC_(0.10318525717298732830018437311991874594241380691528e-14), SC_(0.14367766698608619435617583803832530975341796875e-9), SC_(0.5059831664766534231603145599365234375e-6), SC_(0.37240456346135514582020163258162977421115936310552e11) }}, 
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+      {{ SC_(0.3762704347037696e16), SC_(0.10164524532769642241629852708355797252185587220552e-24), SC_(0.27152649027584e16), SC_(0.14699154732025769283571926131601897366775031030076e-22) }}, 
+      {{ SC_(0.6551729407524864e16), SC_(0.25762003497220575809478759765625e-3), SC_(0.156271296e9), SC_(0.23717202528322099316627229293548821703600369558169e-15) }}, 
+      {{ SC_(0.6565417468297216e16), SC_(0.174148595112480631422976e24), SC_(0.187841462272e12), SC_(0.20361865097500372485155107117802705969273207578608e-24) }}, 
+      {{ SC_(0.9007602981666816e16), SC_(0.25765624e9), SC_(0.1591604150272e14), SC_(0.19726797826086290726900599041820484051327569566171e-20) }}, 
+      {{ SC_(0.18448819419086848e17), SC_(0.55460104261295954577309919031335994077380746603012e-16), SC_(0.154132149174272e16), SC_(0.13580314631955561794382801022694745071290705109491e-22) }}, 
+      {{ SC_(0.41172763385266176e17), SC_(0.69560673828125e4), SC_(0.747194576263427734375e1), SC_(0.62793115296093377148750971856138022413722904539364e-10) }}, 
+      {{ SC_(0.59877638017122304e17), SC_(0.53512100536178474827209150532780768116936087608337e-15), SC_(0.60865414403362585004788968196643994088311036341765e-26), SC_(0.67932276518492118905647587709216361710433902821356e13) }}, 
+      {{ SC_(0.11384566732292096e18), SC_(0.58757351632535552e19), SC_(0.273440826416015625e3), SC_(0.2218197410675072553866425364806973969075261727874e-18) }}, 
+      {{ SC_(0.128395461743607808e18), SC_(0.206836903384823477636694016e27), SC_(0.53310077419155277311801910400390625e-5), SC_(0.25213187167619695580929289478697105906035912959449e-18) }}, 
+      {{ SC_(0.245924553149120512e18), SC_(0.12432241406593107741605394588021265875441186132822e-25), SC_(0.11698430441812742785454260394458960094979845402414e-30), SC_(0.15814359980865698013833243813020147773628412638471e21) }}, 
+      {{ SC_(0.304309702915784704e18), SC_(0.530327327997952e15), SC_(0.10366431646728266850195727608041629252966231433675e-18), SC_(0.73346046074259210722247465233594194982314902683682e-6) }}, 
+      {{ SC_(0.351564170056957952e18), SC_(0.39915753210320770987303899714279126384431587576396e-26), SC_(0.21695373623974084952946051325821291927687106275468e-28), SC_(0.16012914574357507234163722206932362300988672115721e20) }}, 
+      {{ SC_(0.805980574786256896e18), SC_(0.7298279296875e4), SC_(0.135008262029312e15), SC_(0.24742374685179778771251059396546742229781662198914e-22) }}, 
+      {{ SC_(0.1429457475085533184e20), SC_(0.14041162752e11), SC_(0.16802999673239973138530304e26), SC_(0.32121431604673931143271876891436876644565038320042e-36) }}, 
+      {{ SC_(0.221162365880631296e20), SC_(0.4426536e8), SC_(0.89961878334825112180062577083017316681434749625623e-18), SC_(0.10108911246070441761891693525755853616606808949316e-3) }}, 
+      {{ SC_(0.38083625921602912256e20), SC_(0.14043506688e11), SC_(0.13209346463532805303342509972708285204134881496429e-15), SC_(0.35692228203582006473843647627664557137685858827968e-6) }}, 
+      {{ SC_(0.57692237126522896384e20), SC_(0.63429242800339125096797943115234375e-5), SC_(0.31824542466005171886425636864e29), SC_(0.55222293820695175519018810756922011735863676741191e-41) }}, 
+      {{ SC_(0.6036870791327383552e20), SC_(0.7191220191232e13), SC_(0.68897207938789506442844867706298828125e-6), SC_(0.17346553888445511526875601632160113537907688737997e-12) }}, 
+      {{ SC_(0.113674073964877447168e21), SC_(0.183615109375e6), SC_(0.404058591811917722225189208984375e-4), SC_(0.10330175955957541532693528313466256772187391201874e-9) }}, 
+      {{ SC_(0.140771054246300745728e21), SC_(0.4364620208740234375e2), SC_(0.10711124272997777587041261201942927950011067906889e-29), SC_(0.36980588192743195268081186143904811424184826509079e5) }}, 
+      {{ SC_(0.486625867239520206848e21), SC_(0.2663514463837359985504355062296832912238642165903e-19), SC_(0.4719122320543576863524228422930565122003386188676e-26), SC_(0.12125027886646699970512476707156771853870273067952e14) }}, 
+      {{ SC_(0.1146824826980038344704e22), SC_(0.123134608e9), SC_(0.36464645756234167146109012677852867501115952109103e-20), SC_(0.13220462423972425935917229500420846663825040326569e-3) }}, 
+      {{ SC_(0.317074383652647862272e22), SC_(0.89612589356621110444032e24), SC_(0.2342108211970048e16), SC_(0.11619224315234818923589971905969099280156494799642e-29) }}, 
+      {{ SC_(0.32148523727519219712e22), SC_(0.60515264161661452673922225736467336588411333742066e-25), SC_(0.787468255232e13), SC_(0.67190469656717598102688231195715810897773628309487e-23) }}, 
+      {{ SC_(0.13571258581209030066176e23), SC_(0.2301062643527984619140625e-1), SC_(0.14359374149799930542314996273489668965339660644531e-11), SC_(0.14166931188327778230186785722742287698171547666982e-3) }}, 
+      {{ SC_(0.20821377315431516209152e23), SC_(0.31614863423832064e17), SC_(0.64014885e7), SC_(0.4621406894160877827384001215215505228565154941349e-22) }}, 
+      {{ SC_(0.55817784918415767502848e23), SC_(0.229345916576958775296e21), SC_(0.181080293376e13), SC_(0.62303863493181421011759609358700084332302564282572e-27) }}, 
+      {{ SC_(0.210179409744077661405184e24), SC_(0.775467603201754089842406683474462128114628768627e-26), SC_(0.1351436267417501696e19), SC_(0.48419735649202961080115073168670433174544124355214e-29) }}, 
+      {{ SC_(0.277204771630374352584704e24), SC_(0.178649388253688812255859375e-1), SC_(0.1626075136e10), SC_(0.35041190711483516523923271898554740595024898229225e-20) }}, 
+      {{ SC_(0.286204729096914532827136e24), SC_(0.18205785323743839398957788944244384765625e-7), SC_(0.6443661400749065109504e22), SC_(0.85231956001222048244789008910270023125100724496553e-33) }}, 
+      {{ SC_(0.292186842467552253181952e24), SC_(0.8000304500511383121995759616e28), SC_(0.12346179962158203125e2), SC_(0.17659213899312742611429666455779433659781019844976e-25) }}, 
+      {{ SC_(0.393077021751861389033472e24), SC_(0.85326592849126535957377352366076878413243909232699e-28), SC_(0.11113272845378330266896682587685063481330871582031e-11), SC_(0.43056670697313120117799317169619739766527357451448e1) }}, 
+      {{ SC_(0.48688847917066659823616e24), SC_(0.12212552573408426924125600686592708205013835254249e-21), SC_(0.1269279595243605041993096779751049041351507185027e-17), SC_(0.33543623251839576830546760936703173774870805103267e7) }}, 
+      {{ SC_(0.6959596827501176488460288e25), SC_(0.56396991515163736959758100092886750224006554485772e-29), SC_(0.164767579074269378772992e24), SC_(0.67539896107197358427396075668773079100885280216386e-35) }}, 
+      {{ SC_(0.18820064668587267094216704e26), SC_(0.302210201308383830109960399568080902099609375e-9), SC_(0.33895318467300131244893458519885746926814107382597e-21), SC_(0.21606569536016446005127644096871253975571307187249e4) }}, 
+      {{ SC_(0.66192871423119660955992064e26), SC_(0.65104581211365760324995297566040105840304400052279e-28), SC_(0.700861590985368820838630199432373046875e-9), SC_(0.5261182706092194133617741726329224767119336720926e-3) }}, 
+      {{ SC_(0.9036469625899950631026688e26), SC_(0.690641880035400390625e1), SC_(0.1238969862461090087890625e0), SC_(0.3008677996342580895031853541445446250478520113248e-12) }}, 
+      {{ SC_(0.351293559140227787146657792e27), SC_(0.92746285056e12), SC_(0.7325884342193603515625e1), SC_(0.61405412064015393151121436181259576895276598600887e-19) }}, 
+      {{ SC_(0.48555353730121618377670656e27), SC_(0.41366469991877353664505423235416110752209856263632e-29), SC_(0.1080339869874636584075679427013641468012674864323e-29), SC_(0.42620833187540100646142696579397880259804927864477e17) }}, 
+      {{ SC_(0.3196617981363007079661436928e28), SC_(0.357227936120807498809881508350372314453125e-8), SC_(0.190531306287766710738651454448699951171875e-7), SC_(0.19434029391873011348314670331341701583590531402094e-5) }}, 
+      {{ SC_(0.4932620110638545248192561152e28), SC_(0.39087764918804168701171875e-1), SC_(0.37496308203098109226999139757157200603110425163322e-21), SC_(0.11157521852141686174291251786184006118424156415823e-1) }}, 
+      {{ SC_(0.516425012058796509045456896e28), SC_(0.3000732163818651513042917353020530062720192427143e-28), SC_(0.28816120624542236328125e1), SC_(0.14487121655367107180122470700505306007568660707101e-13) }}, 
+      {{ SC_(0.6724360036363488659828113408e28), SC_(0.39914275e7), SC_(0.5617260831058956682682037353515625e-4), SC_(0.24432489934783656632287527852861417375460919006681e-14) }}, 
+      {{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.86986000872677090266227306614155168063007295131683e-15), SC_(0.60499813791534240550577796444003132563462392194689e-18) }}, 
+      {{ SC_(0.1240879712420966629044649984e29), SC_(0.35030939907262229474824187104684165838808240778235e-22), SC_(0.23553908385443359223970771765266363217961043119431e-16), SC_(0.11419947735685798535870442055414653068651348519666e4) }}, 
+      {{ SC_(0.13622372113626680630865559552e29), SC_(0.5065993732313771067901500902430633743733778828755e-18), SC_(0.1568245533434264871175400912761688232421875e-11), SC_(0.1638076044611111663076389515306947175644793927095e-1) }}, 
+      {{ SC_(0.21413030105610117647127543808e29), SC_(0.56796892335439872e17), SC_(0.44545595303495604738852208133448318250202646595426e-19), SC_(0.40758436912717219001309081424162965116278950127384e-12) }}, 
+      {{ SC_(0.240611655851932728105631744e29), SC_(0.15126033260477136128765155826087636266509091563425e-30), SC_(0.147685372829437255859375e1), SC_(0.13095601170876630580259197493117307804833462447144e-13) }}, 
+      {{ SC_(0.61731988312258099732254031872e29), SC_(0.47155488899394500240213479534565823420775918905622e-28), SC_(0.4463543296e10), SC_(0.27051189723173151307626070067360099122375990020391e-23) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_rd_xxx.ipp b/src/boost/libs/math/test/ellint_rd_xxx.ipp
new file mode 100644
index 000000000..fe0a048cf
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_xxx.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rd_xxx = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9130820318496712875229216324832408264587e+49) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3665852869779972929460567093420455622924e+49) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.2220106206558165375569223515909546363392e+48) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3149021076451585903933915726002934423658e+47) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(6.1078904340891008746809572947309925671571e+47) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.3518921475599483128684188501191135541069e+46) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.4512696301971283630153140671266643699729e+46) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.3935509016064272675775978191165201415094e+46) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(5.4747691124683342305782589643022296522404e+45) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.6980473592334734518377012858136761011516e+45) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.2412766596483853421146471461184075439986e+45) }}, 
+      {{ SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.6219605514593649777370199528413692533610e+44) }}, 
+      {{ SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.2341251281163607811506584927348226764697e+44) }}, 
+      {{ SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(4.8688954760627537245343296759816558179510e+43) }}, 
+      {{ SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.1591347721157429088009140561489321101032e+43) }}, 
+      {{ SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.8025426768813065775721805427136387158775e+42) }}, 
+      {{ SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.0178282889588961387363651548386847505189e+42) }}, 
+      {{ SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(3.4937596204375519072486799492055320404445e+41) }}, 
+      {{ SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(1.2651223007734982870746964468855740797418e+41) }}, 
+      {{ SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(4.4633178395904559777849681755133773342447e+40) }}, 
+      {{ SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(3.4970708727505084948560257863505164190937e+40) }}, 
+      {{ SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(6.7921009289776935903433019753299209745102e+39) }}, 
+      {{ SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(1.9681771693353782306219621812474237186418e+39) }}, 
+      {{ SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(6.9032193629929930170164705563410884882774e+38) }}, 
+      {{ SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.4855798710265426807120743075420126570707e+38) }}, 
+      {{ SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.0578861370673130178626361472849746194080e+38) }}, 
+      {{ SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(4.6992127890309820585050626940997924796295e+37) }}, 
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+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.9686608830175590814715691622534817404011e-41) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.8324797437566406076041039429974310120006e-41) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(3.0333079720467397282520192477118791550916e-42) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.1940532551473316279692357164340213043762e-42) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(5.8956377632246711579832955264973200436422e-43) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.3892400495228539274598050730404314792108e-43) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(4.9890622443442454143628998892754947824020e-44) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.3728397177512905263928217528665158827501e-44) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(7.6863189428009715118983101443511744090196e-45) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.4538875281292909532958673539665046029890e-45) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.6729471136328311706955118425734608582646e-45) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(3.4555274625386616585934609941429203994493e-46) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.3871169913566441993441180101040613652334e-46) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.1705039497420584674312487188888623304008e-47) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.9957299377906691708015705180778289952633e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.1461959670542379650843010267432936776139e-48) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.0455300121306774873511328924430576723673e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.2330927975790268155461535096378223350591e-49) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.1521450871007098580247264140643505142883e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(7.4006893602204152108633305656949585309562e-50) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.1569833888237949750965877861010398088413e-50) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2239268982694768381667683394968955347577e-50) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_xxz.ipp b/src/boost/libs/math/test/ellint_rd_xxz.ipp
new file mode 100644
index 000000000..6a5286368
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_xxz.ipp
@@ -0,0 +1,2222 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 2210> ellint_rd_xxz = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.1729774060187396418734621828274699612747e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.3312252938058544760835135287445262528222e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.0227584282918582236074076402509358426243e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4539203324363904751954428097993467309857e-01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.4240309679900508133443914465912158625130e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.7786425189441016395854928526960023534503e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.5710633131773955520491894261178178291128e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.9359692566263540523248348829381845324303e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.8751272445426829663670803804218431845609e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4656281703014062233809281154444072147164e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.1466944844283789377662915006014331305601e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.3073739283855831959413973555386308088251e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.0113132412642120695111732071485412816518e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4469679720331167084127612879437299295164e-01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.4003790790412127063242409405323247576986e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.7624693106494046512166637272725660247055e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.5554758595744044948679856024413058292646e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.9221727580012500326042500926763601873153e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.8615022209333791619130740324949397655333e-02) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4531567828677914884665506556333330618155e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.0047725349613939931551999426268476384114e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.1785818431428300552674242497718142645410e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.9495117687987799243432748464968655622362e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.4094267672459153730282695832282665428704e-01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.2726641225187679663775650541315334052783e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.6751375715796954371867603818022374242264e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.4713070659736962262481325881424515110478e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.8476747242129725321352674743936122490323e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.7879301142131249469905457711840371373973e-02) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.3858140557264603688233601519532417524451e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.9279749196045328084176121060778707093066e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.1088891348575486303084504417650410267093e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.9160694032681964614512418356787010074384e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3891122562339923821773133571201934874878e-01) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.2035542762746489332453600731205147667677e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.6278801224626967903300409747690277628734e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.4257611679623253136138660115961731766804e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.8073619229500113510738170335933499777917e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.7481183558902137156046036118203003819946e-02) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.3493731748373129081906548824050096542012e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.9038743639326374671067166838560853435625e-01) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.0870182344637055237601894592148522677315e-01) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.9055745514616072166864122404861810954044e-01) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3827371754282256651048607546518063472340e-01) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.1818662891002696622606713740362263737362e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(5.6130498340733551038359557748558381270763e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(5.4114679969367819546284175376784172240307e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.7947109974412774599791743676247821882669e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.7356246672073183900977720603199226024458e-02) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.3379373317512900301543904672827981839877e-02) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.7572568022396418818730060990659028236931e-01) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.9539649500734592747062356650405479241292e-01) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.8417283230526157499908526074704661542331e-01) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.3439538869405114697084098546457482261125e-01) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.0499257711791582835458719202663770241085e-02) }}, 
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+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.1390358106736435394275371334474689522959e-32) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.2647183227539062500000000000000000000000e+02), SC_(7.9514908381811506672495347901524150699284e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.6294470214843750000000000000000000000000e+02), SC_(7.0052775338298164487781066513903600100060e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.9196640572103880225596279202246144479724e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.6437953521495673255109519775771602040230e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.6161555465089693021490082261081860469286e-33) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.4238916842497501091206740927035407321468e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.5397361755371093750000000000000000000000e+01), SC_(9.5924789782979559358193220228045209408657e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.7095397949218750000000000000000000000000e+01), SC_(9.2870416168954001760193843028544556073657e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.2707733655474819038690969069436163661693e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1576793319511792763277696450806439273461e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.2986120658936894940455644246416205884746e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.7870848554914486482522940938821722735142e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.7408018211411803305252874166929449816275e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.5916659460820365662423384153279131374426e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.5767237416019508363475128525937539454150e-33) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.4727850243271598647377932835845763147398e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.3437285832763031573618224652692810238308e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.2054184550887524949302306061209177489691e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.2923987805346698130401002920346016142913e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.7883603165937806260375375525928986265215e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.9465254123863504324837609938872316523974e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7148923413131987000387755006924734710399e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6939341573356414033209340712120811653537e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6264014825440757226706444916873512640808e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6196352565409592674721840518726665424248e-33) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.5725690520533584398008230590694101686862e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.1378372968797138834159397352170190983171e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.0697656978129653863457391706711049661248e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.6204080835822751147784067745530077398524e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.3723372829748305508427871831946237053240e-33) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(9.5801442151455998796874454482513241844424e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(8.4401240480534191819234381170635324120181e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(8.3369749066577244571146824170958056041267e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.0046017664866090143251205970069880389738e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(7.9713006749675130788701084211445556631498e-34) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(7.7396566266640466143683913800449276665605e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0493210917310457269854064486030985652322e-33) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.0159093046166320661735994635763629484111e-33) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.9534975921511118072569498199954171615310e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.7358842419680625286869940678948403281373e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.7022509156565904660880295602046456658203e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1426913981598371616552690565262736388178e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.0920623957477137749277573202349225488389e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9289226905814350994839210412774023123645e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9125774159622416073097980415761350788085e-34) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7988788730405868715932338986967991888257e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.6127312541610546849641210212785149397298e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.4658557211192255048920416451074078719090e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4962936714335633607728600367370822203049e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.9610406206626477900363472992392324941539e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.0670717413841971147853115344933008984511e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8210938710011131543725308813468116537906e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7988377681138516748270736691492687086743e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7271228638061820885802661067392581651399e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7199376123433129628092410593402075217247e-34) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6699566459241499291562877092138433464802e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.1615297421485730363800317663226072790198e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.0608624063512000331422527742044627038336e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.3963321989660186943685167196210441063302e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.0294739654494892973943507407364831779446e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.4167547228436057228628980462595127199327e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2481634240496495585128099662067737915017e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2329092660800252694011338921477882885786e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1837564343993353121070826565567588385356e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1788317195280353039705317161574112528990e-34) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.1445751580314231694822048727675807612535e-34) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rd_xyy.ipp b/src/boost/libs/math/test/ellint_rd_xyy.ipp
new file mode 100644
index 000000000..da1bbf3e8
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rd_xyy.ipp
@@ -0,0 +1,4432 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 4420> ellint_rd_xyy = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7345719831867592463668244161693249328590e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8408916530446128526481129430827158484300e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6705821445663616665111041605346984463436e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.0188428047761015186474500095957815617283e-02) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0163649974344934405601797520127381891744e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.6680344813862810598841378477161469121762e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.8695279903884193503827316373331771524134e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(2.0598063990495451387565581414318877269354e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(2.0578923539035719725465805454374528195790e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6566105406113889905360955633350988932877e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.1327935538025923051005687741954091857454e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0917664967843709674579410269944132769418e-03) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(9.6632556897746731317962082074193144655258e-04) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(9.5431522514232530792560609332066694353330e-04) }}, 
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+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(4.6445832180510911092923774758109344315903e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.6389596018797370733907072848067413698331e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(4.5267638608383604057208373998781739322095e-19) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(4.5105004154758364084699730913880291629295e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(3.2282522823976040134759825825520033470743e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.4796670957664251795901474615439740945874e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.3242693235987756968733848425278978409999e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.6715242513154726204680111560653428114936e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.4245998102188858778700470243929219729354e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(1.1306535461372040613168321199566819411954e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.0217997791096401782713276210167514415900e-18) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(5.7578298752890066237432407685124256663181e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(5.7542624028489151601148080928957616827199e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.9795279416003705098762573521973196186415e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.8649309510351707799670021362800127823654e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.7710393891814943807615450526922834826096e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.4763503680117411645928879276551995594804e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.4474856081609385184807584708012241769649e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(3.2885932470237302191344306830914424126595e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(3.2634348397832339912462879893508522198574e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(3.2539706027247678888125314386632583482682e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.2500307267782083387311730822731369982090e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(3.1714269800134443835516649639245847839863e-19) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(3.1600328956308031409023712041189967087512e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.1403871837194589617838885319256684956987e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6440622378271807526127583853975522723907e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.5410308230459404010138447676150975801272e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(1.1082495331296592657624084652787803699023e-18) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(9.4453435140362001267109856597298034266894e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(7.4964288651619345107511001358955861404927e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.7747095338823424316949056736284048168836e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(3.8175409457010122546693209595791622066336e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(3.8151756496766962396659984960984452164430e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.3015132817496686025915899991544118192005e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.5625161697128702332876492648559084713291e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5002644377937784547462831853503101789182e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.3048805120907603424362769622215285680611e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.2857426763080150626053797140922760566657e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(2.1803942885059252073188037369479238976747e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(2.1637138287060610440006158670843839995431e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(2.1574388755947203328300458397821466252666e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.1548266695947612474115645008168854378744e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(2.1027110238984843831882948514678172190550e-19) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(2.0951565485819794664053980135052578987075e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.9508079528808593750000000000000000000000e+01), SC_(1.7719925899369313290190047756517988230511e-18) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3610930419431700488849928063450836313291e-18) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2757949683461240997594281285166767113894e-18) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.7676391601562500000000000000000000000000e+01), SC_(3.7676391601562500000000000000000000000000e+01), SC_(9.1750220494882991418993129407640327672862e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(7.8196500350913776977796036365605486802216e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(5.5699645996093750000000000000000000000000e+01), SC_(5.5699645996093750000000000000000000000000e+01), SC_(6.2061745188422665963567444114149624840842e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(5.6086745353022335099964194805581072643208e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.0937628173828125000000000000000000000000e+02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(3.1604815796961264278169881297131007863620e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.0944409179687500000000000000000000000000e+02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(3.1585233886454718209830770323638156108263e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.7332704640253384536921231356639774308936e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1214664799263404674943146441907225126783e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.0699292587588690766546303957780648214453e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9081740066381317393062114455040211425352e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8923300960352268421801322725701666985385e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.9150134277343750000000000000000000000000e+02), SC_(1.8051138372354016012781363357069269282075e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.9297766113281250000000000000000000000000e+02), SC_(1.7913043492199032361559172954398611972238e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.9353894042968750000000000000000000000000e+02), SC_(1.7861094150976688243755410490597874417304e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7839468111956623776541243678117882283457e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.9857623291015625000000000000000000000000e+02), SC_(1.7408010949925301907540117545734088689266e-19) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.7345468647375882723722704263461447446576e-19) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_0yy.ipp b/src/boost/libs/math/test/ellint_rf_0yy.ipp
new file mode 100644
index 000000000..5d998f485
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_0yy.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rf_0yy = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.2011134328710924123568675963633830394318e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.7554800327933727372706425945100239072845e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.0497548397148665107630958693942691659345e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.4770853493447921736098258541412996180989e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3327549053323440668722578635205718335450e+16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(7.1299481820424706099755641475235630224298e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(5.1142211858846531258743753567048129710036e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(4.5268985959206997318160223917930173682065e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(2.7684826947146390333934627850738946314261e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.1867697952837347494353619419469972994415e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.6881436782981871757856272617193320335881e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(1.0053761877394506247990797590547509932445e+15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(7.8205916286975768201582362951392158530002e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(5.7358355870132192845036795529116466004622e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(3.5549311045264652089376376128995610653495e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.2146441588391558634818947164424977714924e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.5800762651540760009290282618266899294729e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(1.1063287981858817479953084254076726440032e+14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(7.8855268369770930868571674694699148129542e+13) }}, 
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+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.2071668848445719575214289055934381666647e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(4.2607606128595662177290950502474781053227e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(2.7119519078084773713513001089799261003714e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.9939847338616881135469544661367878643461e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3417998569903162736257142762866916683070e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(9.4133395764747646992674799662015469129317e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(6.5949362552637029247447266438533130992429e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.3725569761634527092424992635267307715942e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105465095323814245693615037155e-17) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_data.ipp b/src/boost/libs/math/test/ellint_rf_data.ipp
new file mode 100644
index 000000000..3865f0002
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_data.ipp
@@ -0,0 +1,413 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RF, each row contains in order:
+//
+// x, y, z, RF(x, y, z)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 401> ellint_rf_data = {{
+      {{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.10313978271484375e4), SC_(0.69081557947567857896297308369623231790841946303168e-4) }}, 
+      {{ SC_(0.13810928266794127506964991575307193802925529863273e-29), SC_(0.2529551275074481964111328125e-3), SC_(0.7030536597341097149183042347431182861328125e-8), SC_(0.41696748464385961137940994051143282877208328256968e3) }}, 
+      {{ SC_(0.14532352659780781796355564562931230420316401288775e-29), SC_(0.62687453931329231730011467674071804187172354186889e-30), SC_(0.26256847716031594952568184453411959111690521240234e-12), SC_(0.40492940437281068910143789937423107620726714449588e8) }}, 
+      {{ SC_(0.21161119528926488937912315394561157356168786172334e-29), SC_(0.142681614079265273176133632659912109375e-6), SC_(0.1414351724088191986083984375e-1), SC_(0.60023495609336663619731475310462707680628111629781e2) }}, 
+      {{ SC_(0.43727979838159528482554219689363356095561935561375e-29), SC_(0.7798122348544e13), SC_(0.8588943201947652980736e22), SC_(0.12728379993876013222161727164717897397898227135914e-9) }}, 
+      {{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.2085586588137791946752e23), SC_(0.80511870764678968189176930995818394321307940480734e-10) }}, 
+      {{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.32517390764125836699536241120728208287005145393778e-20), SC_(0.25056280362165428100075135368904610528487634651412e6) }}, 
+      {{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.11666782739894188125617802143096923828125e-6), SC_(0.69024104942927043057057398977626412595781610122053e-6) }}, 
+      {{ SC_(0.80490202086679616440767211156605911864354431197377e-29), SC_(0.263248904192e12), SC_(0.297980882347216843954978816e27), SC_(0.10843189731083616299141336159195842305986739069878e-11) }}, 
+      {{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.210290006361901760101318359375e-2), SC_(0.13041677890491263355196952840107362001464424225232e-2) }}, 
+      {{ SC_(0.21260283480045472585820552908849842179312334994757e-28), SC_(0.117237625e7), SC_(0.28658838e8), SC_(0.56137169413466917815737398640168522533687819147944e-3) }}, 
+      {{ SC_(0.23067565607429071342632211210292164463707216326199e-28), SC_(0.44169701635837554931640625e-1), SC_(0.14622103125e6), SC_(0.23255376087386493123620791606540418922162034060246e-1) }}, 
+      {{ SC_(0.27790564235134654243337661318427908127768828411199e-28), SC_(0.21656921296023725949679903214975529301966616912978e-20), SC_(0.16200692698475904762744903564453125e-4), SC_(0.48848907341566731317828094161181483220489237197822e4) }}, 
+      {{ SC_(0.3576658041416457175462348437019377323527317041928e-28), SC_(0.182191292416e12), SC_(0.355224928e9), SC_(0.1056145023109440334189908118197725710820599937924e-4) }}, 
+      {{ SC_(0.45190074381881787947113833644192369803258850957835e-28), SC_(0.903221837196690095865856e24), SC_(0.197033285648384e15), SC_(0.1316234260403974959059386181123491622884455028604e-10) }}, 
+      {{ SC_(0.75787209056271355952485380019348769132814133643247e-28), SC_(0.3443290234375e5), SC_(0.87738095954812459262649215691458087947041111220869e-24), SC_(0.18482788150207164039886687903794355893352157342876e0) }}, 
+      {{ SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.1116302655645995400846004486083984375e-5), SC_(0.5191992844812585795584e22), SC_(0.46130757625625887687399713890619646292026008752597e-9) }}, 
+      {{ SC_(0.10848934303015863927446282468623299997624646840919e-27), SC_(0.62221619626030569058053553009209074892000950850727e-30), SC_(0.343400804652490021666816e24), SC_(0.10342135228893151111628599880598474090206795712037e-9) }}, 
+      {{ SC_(0.1287535325337014953720268054032123824574619620157e-27), SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.44492840412794216795211644099170510281671666177003e2) }}, 
+      {{ SC_(0.20347543751535935665284243442334458135561822645851e-27), SC_(0.440987377729536e16), SC_(0.287391328125e5), SC_(0.21480602601200030281855562249446563848311273705777e-6) }}, 
+      {{ SC_(0.22256795142604778055852756615936599983521384333793e-27), SC_(0.18143533359633255599212774654416246988830607733689e-18), SC_(0.21148944142623804509639739990234375e-5), SC_(0.11297576663225845000545238152727773376633249003903e5) }}, 
+      {{ SC_(0.27311316429626442094674415847188181871613594240214e-27), SC_(0.10845691548033613824e20), SC_(0.400673984e9), SC_(0.40680160276715551282981129022255804380967818080019e-8) }}, 
+      {{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.3263066756541685311171843349919704700385781288154e10) }}, 
+      {{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.86422194270699415064029835775727406144142150878906e-12), SC_(0.85882928958216539680438351403609321208964637689442e6) }}, 
+      {{ SC_(0.88887406204705208581375488864563298833942634608052e-27), SC_(0.5811525927157390469801612198352813720703125e-8), SC_(0.32174132911148321865672794483970164947095327079296e-17), SC_(0.15798257631853654027208341257989620757183444492979e6) }}, 
+      {{ SC_(0.11649136528196886067987694424015483218044894522109e-26), SC_(0.36767340167168e14), SC_(0.4968523085117340087890625e0), SC_(0.28619662675577147008545299820464843681562410993599e-5) }}, 
+      {{ SC_(0.12708737924245050134296546672544059482912572403568e-26), SC_(0.903024183216244059537408e24), SC_(0.15518063165544166788813746673722175600112280614926e-28), SC_(0.62957032534216916589353715070316990128108284888469e-10) }}, 
+      {{ SC_(0.25172518744793432127678756566548684645107602196601e-26), SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.76260606376287472971690034770273684734039141637871e-10) }}, 
+      {{ SC_(0.28601321158264026057365024112938563807684451932578e-26), SC_(0.40558081566683637682324548023871102486737072467804e-15), SC_(0.208714828125e6), SC_(0.5522837672610515535667805214004803961305903914157e-1) }}, 
+      {{ SC_(0.42244364291200267661460233749011480646438909669627e-26), SC_(0.477498138427734375e3), SC_(0.17728046030944125033074269511337850424581574770855e-19), SC_(0.12451945453260696576552580190880249825955248401269e1) }}, 
+      {{ SC_(0.48457483625271488463909528606996389233426292958429e-26), SC_(0.34402809559391418553704811749276853293953368218006e-26), SC_(0.3426654976e10), SC_(0.71831384058159540985490355058964459192302194019864e-3) }}, 
+      {{ SC_(0.51977933341075693398899317919762114747383096799438e-26), SC_(0.266911591494591876579813490688e30), SC_(0.53580234866956732986409406294114887714385986328125e-11), SC_(0.93375161793411865686174480682610243788243937917932e-13) }}, 
+      {{ SC_(0.73955594308673193523198369636584653936223991005372e-26), SC_(0.15995684594580228399252064264146611094474792480469e-12), SC_(0.170420291286861873152e22), SC_(0.98255728430318667072571074195808505094006175327076e-9) }}, 
+      {{ SC_(0.16358995318300954765782308898640009098138844295667e-25), SC_(0.98936341703850100293138325469044502824544906616211e-13), SC_(0.17837596956010162360661830405206274008378386497498e-14), SC_(0.10825479757466109087874722747675913053273852855701e8) }}, 
+      {{ SC_(0.19129386995031684168433400267318972464065419958335e-25), SC_(0.74098306733179406810366224487118565210547929972832e-30), SC_(0.40798337829960889676546298421300207337480969727039e-16), SC_(0.18975656681089523246977362390571886102543681656904e10) }}, 
+      {{ SC_(0.20621651441981357349985057544616166528433660182218e-25), SC_(0.37752524088656425060861465681227855384349822998047e-12), SC_(0.20065922661601206578897704790875877733924426138401e-16), SC_(0.1026562701139222168152586002247636059939894265944e8) }}, 
+      {{ SC_(0.21288901426793981534691419438692370107505096726852e-25), SC_(0.5289344906157640122368e23), SC_(0.11510209314816e14), SC_(0.54396628344807662681292826103022096566324190444093e-10) }}, 
+      {{ SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.2247014312744140625e3), SC_(0.275117858615052709715247104e27), SC_(0.1755537214869906012774193839638577210495131605845e-11) }}, 
+      {{ SC_(0.34857664908449107348958795506280082952452713251912e-25), SC_(0.4151866912841796875e2), SC_(0.84098145009994339684283693509730169685090217512879e-22), SC_(0.44454486362140376311920208456593332541577968986099e1) }}, 
+      {{ SC_(0.34919368622379363366113344149995795887854964367758e-25), SC_(0.253342638931968e15), SC_(0.7562174072265625e3), SC_(0.92072944143905544126698873573853448498100607354808e-6) }}, 
+      {{ SC_(0.43573388456807634241895548780677530339229715228289e-25), SC_(0.4951682e8), SC_(0.27826294978205525521980137859608542144911232096849e-25), SC_(0.55217533865229231709379440218980932604236253984141e-2) }}, 
+      {{ SC_(0.79820903020739723608895214436397557193018231780357e-25), SC_(0.64729720161775472443612539086288393264112528413534e-17), SC_(0.68450550546432e14), SC_(0.44847121597179922927679996550818082257097417243103e-5) }}, 
+      {{ SC_(0.87440356429873925658498856170228582591246249688943e-25), SC_(0.897631640625e4), SC_(0.386145068359375e4), SC_(0.20246560118180263593246019999683330284223142080123e-1) }}, 
+      {{ SC_(0.94440849851249091320281320378524601844016927998382e-25), SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.13429247262567663626711145473545103648849120559512e-5) }}, 
+      {{ SC_(0.14235380836999617679740726134029336127093459674064e-24), SC_(0.13978527726259656235898667313173260930711863658793e-24), SC_(0.2028485946357250213623046875e-1), SC_(0.19206251584392463442370997640025081765353159971305e3) }}, 
+      {{ SC_(0.19953517994584643852448181812338140391502663839596e-24), SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.22359243991203761053744717290515382846472784535058e-5) }}, 
+      {{ SC_(0.24754359063412526643006257824154938047573476511687e-24), SC_(0.542938704356835328e18), SC_(0.44974670432440498891960159215184658369128360699829e-26), SC_(0.67866272584068105190014692037620145928646359916575e-7) }}, 
+      {{ SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.446171086848e12), SC_(0.49623249953612003082525916397571563720703125e-9), SC_(0.38191286535568014551586929918910276720789086531549e-4) }}, 
+      {{ SC_(0.47603821186323272660218327918596801064457513241734e-24), SC_(0.2276554752e10), SC_(0.1719185896217823028564453125e-1), SC_(0.29742088232825551204748453119751505500500823727615e-3) }}, 
+      {{ SC_(0.49794778812580822691949943719295546451682199506905e-24), SC_(0.1241846768099137683456e22), SC_(0.16907547929525060340181807204941172504655995389999e-25), SC_(0.1517664520587024793869311011872864378396584169184e-8) }}, 
+      {{ SC_(0.56225779987930131445265275562229206527363467582603e-24), SC_(0.59220483766176692878700381014733800100202643079683e-19), SC_(0.170295034922225631232e22), SC_(0.11622667635419788310904431315435991769296091794395e-8) }}, 
+      {{ SC_(0.59662314470867055698475524004384740249344598606029e-24), SC_(0.3658255674684168267104256e25), SC_(0.347205125e7), SC_(0.11573263812518641898043129899137636153559584538173e-10) }}, 
+      {{ SC_(0.63171350201374448567926894124993295043246632758382e-24), SC_(0.34594001439795600424927311319582115491182941913878e-27), SC_(0.63795086741914598182229839666991088459324643622494e-23), SC_(0.10133993353996022465682119843291432134218242147239e13) }}, 
+      {{ SC_(0.13769532587968157644195235343886302517048270122046e-23), SC_(0.2007315487162486533634364604949951171875e-6), SC_(0.484821384427736035149791860021650791168212890625e-10), SC_(0.12389402269001445927668245292756768857373060188716e5) }}, 
+      {{ SC_(0.1809900535358029636909945199492450026643175498009e-23), SC_(0.4521496521192602813243865966796875e-5), SC_(0.8669365225699721122509799897670745849609375e-10), SC_(0.32060615134261499907655037885120005642674260522623e4) }}, 
+      {{ SC_(0.23768503319901658006414734019219381138884883419848e-23), SC_(0.545301093941248e15), SC_(0.1237108193663516431115567684173583984375e-9), SC_(0.12743839987290518287222259493370574805423695673748e-5) }}, 
+      {{ SC_(0.30307608021550191165014175615417981032514993522398e-23), SC_(0.112407951746718026697635650634765625e-5), SC_(0.2082685879058432e16), SC_(0.56691050322635168060617985774434728756046014923614e-6) }}, 
+      {{ SC_(0.62520772668534154026944814518561754825703991045316e-23), SC_(0.19445130267235161963321360384e29), SC_(0.27158976561908717618255837411567199524142779409885e-16), SC_(0.38026907216974328094743665088443755531206213714277e-12) }}, 
+      {{ SC_(0.10943329334993736046425619587286570504047755747479e-22), SC_(0.29924868096e11), SC_(0.2513091862201690673828125e0), SC_(0.81727074296930034500798079272025541361956733831224e-4) }}, 
+      {{ SC_(0.11566333023752935340761337633447216211718400202813e-22), SC_(0.18755437374336002170666266863907623019258608110249e-17), SC_(0.776579078820560653184656985104084014892578125e-9), SC_(0.40565905858913068184819366045065677568636761097112e6) }}, 
+      {{ SC_(0.12363192189691982984868135714653404610974263277967e-22), SC_(0.35982240840770946433031796107826494335313327610493e-16), SC_(0.322920703887939453125e1), SC_(0.11632490874358186871413249990505026788809575604058e2) }}, 
+      {{ SC_(0.13102694856934221302627057835335012189043046859638e-22), SC_(0.557648090759990083584e22), SC_(0.511986668338959560742296162061393260955810546875e-10), SC_(0.51248664482931459540724013275829878903910451492033e-9) }}, 
+      {{ SC_(0.22752379870925977520487843277428559665698237779452e-22), SC_(0.169495918280704e15), SC_(0.106314858496e12), SC_(0.38973804069223761667690578386406821821893138424283e-6) }}, 
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+      {{ SC_(0.4932620110638545248192561152e28), SC_(0.39087764918804168701171875e-1), SC_(0.37496308203098109226999139757157200603110425163322e-21), SC_(0.49677918885669315094834554588390832782238505953762e-12) }}, 
+      {{ SC_(0.516425012058796509045456896e28), SC_(0.3000732163818651513042917353020530062720192427143e-28), SC_(0.28816120624542236328125e1), SC_(0.45590953716748809622767271344568834414324208839861e-12) }}, 
+      {{ SC_(0.6724360036363488659828113408e28), SC_(0.39914275e7), SC_(0.5617260831058956682682037353515625e-4), SC_(0.3149211786161963517965091650354250566920868130489e-12) }}, 
+      {{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.86986000872677090266227306614155168063007295131683e-15), SC_(0.60174664703890956134939928112815630373518374796924e-13) }}, 
+      {{ SC_(0.1240879712420966629044649984e29), SC_(0.35030939907262229474824187104684165838808240778235e-22), SC_(0.23553908385443359223970771765266363217961043119431e-16), SC_(0.47464339774120723669000561802171052279059315153073e-12) }}, 
+      {{ SC_(0.13622372113626680630865559552e29), SC_(0.5065993732313771067901500902430633743733778828755e-18), SC_(0.1568245533434264871175400912761688232421875e-11), SC_(0.40583512551936497170672012442547588122036553493224e-12) }}, 
+      {{ SC_(0.21413030105610117647127543808e29), SC_(0.56796892335439872e17), SC_(0.44545595303495604738852208133448318250202646595426e-19), SC_(0.10055266250578662063485344934342287093203087991764e-12) }}, 
+      {{ SC_(0.240611655851932728105631744e29), SC_(0.15126033260477136128765155826087636266509091563425e-30), SC_(0.147685372829437255859375e1), SC_(0.21832951144880765009500199074282822236333957933832e-12) }}, 
+      {{ SC_(0.61731988312258099732254031872e29), SC_(0.47155488899394500240213479534565823420775918905622e-28), SC_(0.4463543296e10), SC_(0.94272971828494080864224866724511415301020102514649e-13) }}, 
+      {{ SC_(0.74469943825056746033385570304e29), SC_(0.25381451890023692523876122624e29), SC_(0.353061568e9), SC_(0.73993207202984769111475156231178550093712585836288e-14) }}, 
+      {{ SC_(0.117661009908837424815142862848e30), SC_(0.434518829345703125e3), SC_(0.429355800151824951171875e0), SC_(0.9266881807310148034392861576649650379030278607074e-13) }}, 
+      {{ SC_(0.593089902380358100434877939712e30), SC_(0.6506956228718475954142519412926048971712589263916e-14), SC_(0.61562469482421875e2), SC_(0.43634363152950073747311554335524072760111106270713e-13) }}, 
+      {{ SC_(0.1138966491359350198995104301056e31), SC_(0.16628866613248e14), SC_(0.83722254681922700089433337836521478725337885862245e-21), SC_(0.19460821722924338220942178264562269988472467417183e-13) }}
+   }};
+
diff --git a/src/boost/libs/math/test/ellint_rf_xxx.ipp b/src/boost/libs/math/test/ellint_rf_xxx.ipp
new file mode 100644
index 000000000..8ae3705d5
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_xxx.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 221> ellint_rf_xxx = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.6745118773247830750129868545120089618418e+16) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.3908128436079138694597947682338789400948e+16) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.3049144594686265000504063489393107218708e+16) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(9.4034173886737095950022635032666743320848e+15) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(8.4845812445445430217034016070207497250201e+15) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.5390659886445280628534854203325879997185e+15) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.2558143271953497835860685501616699571233e+15) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.8819131536661594592044619775177747397685e+15) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(1.7624708229128216937058301706107873452174e+15) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(1.3921408892938336698414253069301923710452e+15) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.0747056442019633884352915678125593373791e+15) }}, 
+      {{ SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(6.4004235978247578155027624088361479795076e+14) }}, 
+      {{ SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.9787432624412635867235628295306532370443e+14) }}, 
+      {{ SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(3.6515463457422279706215047613622545944973e+14) }}, 
+      {{ SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.2631394305460727992226445910206908161696e+14) }}, 
+      {{ SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(1.4098862602753770648227924387939860200900e+14) }}, 
+      {{ SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.0059077922458059642892202637780084288437e+14) }}, 
+      {{ SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(7.0431078766479587754804368836857614371345e+13) }}, 
+      {{ SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(5.0200822999548107157720017795110756417391e+13) }}, 
+      {{ SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(3.5472021437442343472711027607082362631524e+13) }}, 
+      {{ SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(3.2701535441343587891626811155011154851319e+13) }}, 
+      {{ SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(1.8938026078754339581904890495392292245464e+13) }}, 
+      {{ SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(1.2532029155143491803421300708450195764266e+13) }}, 
+      {{ SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(8.8379300121566050731938300803662583777851e+12) }}, 
+      {{ SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(6.2874697373695914398683537159196236102244e+12) }}, 
+      {{ SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(5.9039197710714602563358397983618716115345e+12) }}, 
+      {{ SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(3.6086245860890639381359792488470737774460e+12) }}, 
+      {{ SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(2.3191946962438344754642132794766376340638e+12) }}, 
+      {{ SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(1.6389276511209225003241002233920748399685e+12) }}, 
+      {{ SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(1.3653371215647704695764397878904455064377e+12) }}, 
+      {{ SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(1.0289361076075519675156625741986389957131e+12) }}, 
+      {{ SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(7.7561938752923440711027516294013511375400e+11) }}, 
+      {{ SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.6105902431909048797936653582170852782176e+11) }}, 
+      {{ SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(3.6856302741933604373194882461983480329367e+11) }}, 
+      {{ SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(1.9859672875492359379507593963076952235452e+11) }}, 
+      {{ SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(1.5178688522353185561550540762912234435983e+11) }}, 
+      {{ SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(1.0266341953326370137407347655905757985792e+11) }}, 
+      {{ SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(7.0908335608305666013739844029733909939584e+10) }}, 
+      {{ SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.9091700234257405492100070370196972275520e+10) }}, 
+      {{ SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(3.9626858959015216860996009928920803237744e+10) }}, 
+      {{ SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(2.6702608050063465882761051301400408220094e+10) }}, 
+      {{ SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(1.8119602337314314869938732284614293568841e+10) }}, 
+      {{ SC_(3.5091263406486883653093633225750203052939e-21), SC_(3.5091263406486883653093633225750203052939e-21), SC_(3.5091263406486883653093633225750203052939e-21), SC_(1.6881090482791966547990548171594074721322e+10) }}, 
+      {{ SC_(9.2244855466440840911323921502695810659134e-21), SC_(9.2244855466440840911323921502695810659134e-21), SC_(9.2244855466440840911323921502695810659134e-21), SC_(1.0411874451025396890613697348183318340591e+10) }}, 
+      {{ SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5060373697831631136892266593918510153571e-20), SC_(6.3169323884625406479505568971889327116372e+09) }}, 
+      {{ SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.2849267904344328986699199160459450297367e-20), SC_(5.5174340718395247546626868390431216402654e+09) }}, 
+      {{ SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.0484196316561675708982576474270764776975e-19), SC_(3.0883920635139034779250649091345567270983e+09) }}, 
+      {{ SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.8229333961140025508894553507577285245134e-19), SC_(2.3421494278008844628215092424515164110766e+09) }}, 
+      {{ SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.6401757896136402713757954097140157045942e-19), SC_(1.6574438386407027343884168608585329247235e+09) }}, 
+      {{ SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.0660607797570928288862987520779768146895e-19), SC_(1.2839455938996673895145338406457708381928e+09) }}, 
+      {{ SC_(1.5245964393311865802196902741627582145156e-18), SC_(1.5245964393311865802196902741627582145156e-18), SC_(1.5245964393311865802196902741627582145156e-18), SC_(8.0988349698261683246428164400363266852397e+08) }}, 
+      {{ SC_(3.0195417624247973304059400323495765405823e-18), SC_(3.0195417624247973304059400323495765405823e-18), SC_(3.0195417624247973304059400323495765405823e-18), SC_(5.7547899925526922373616244536397848761423e+08) }}, 
+      {{ SC_(6.0477044011936223152393898860879062340246e-18), SC_(6.0477044011936223152393898860879062340246e-18), SC_(6.0477044011936223152393898860879062340246e-18), SC_(4.0663496775301421469434108258479791748472e+08) }}, 
+      {{ SC_(1.0233193632958864486594274811892546495073e-17), SC_(1.0233193632958864486594274811892546495073e-17), SC_(1.0233193632958864486594274811892546495073e-17), SC_(3.1260390872170331569785421501561375582647e+08) }}, 
+      {{ SC_(1.9321026667662503885011804349858266505180e-17), SC_(1.9321026667662503885011804349858266505180e-17), SC_(1.9321026667662503885011804349858266505180e-17), SC_(2.2750183293639273953649595885956070007649e+08) }}, 
+      {{ SC_(3.9470861839323539803359164324092489550821e-17), SC_(3.9470861839323539803359164324092489550821e-17), SC_(3.9470861839323539803359164324092489550821e-17), SC_(1.5917017559194864506318069539937778361341e+08) }}, 
+      {{ SC_(9.1897463183816027049166663687174150254577e-17), SC_(9.1897463183816027049166663687174150254577e-17), SC_(9.1897463183816027049166663687174150254577e-17), SC_(1.0431535456276883190566740922474790282868e+08) }}, 
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+      {{ SC_(4.4661866496000000000000000000000000000000e+10), SC_(4.4661866496000000000000000000000000000000e+10), SC_(4.4661866496000000000000000000000000000000e+10), SC_(4.7318564989511398336149426573798815985861e-06) }}, 
+      {{ SC_(8.5454389248000000000000000000000000000000e+10), SC_(8.5454389248000000000000000000000000000000e+10), SC_(8.5454389248000000000000000000000000000000e+10), SC_(3.4208404012033908188504584538665943267369e-06) }}, 
+      {{ SC_(1.3929971712000000000000000000000000000000e+11), SC_(1.3929971712000000000000000000000000000000e+11), SC_(1.3929971712000000000000000000000000000000e+11), SC_(2.6793218312555826289429340342451487503095e-06) }}, 
+      {{ SC_(5.3031193804800000000000000000000000000000e+11), SC_(5.3031193804800000000000000000000000000000e+11), SC_(5.3031193804800000000000000000000000000000e+11), SC_(1.3732015915488849265813260716324893107695e-06) }}, 
+      {{ SC_(6.6918337740800000000000000000000000000000e+11), SC_(6.6918337740800000000000000000000000000000e+11), SC_(6.6918337740800000000000000000000000000000e+11), SC_(1.2224396496855447190801123934454467997428e-06) }}, 
+      {{ SC_(1.4843227668480000000000000000000000000000e+12), SC_(1.4843227668480000000000000000000000000000e+12), SC_(1.4843227668480000000000000000000000000000e+12), SC_(8.2079712316641761572993886472833586011541e-07) }}, 
+      {{ SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.1943386030080000000000000000000000000000e+12), SC_(4.8827923585230628028693060467855797414848e-07) }}, 
+      {{ SC_(5.2626813091840000000000000000000000000000e+12), SC_(5.2626813091840000000000000000000000000000e+12), SC_(5.2626813091840000000000000000000000000000e+12), SC_(4.3590963088294957229073615430411735772837e-07) }}, 
+      {{ SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(1.6259294953472000000000000000000000000000e+13), SC_(2.4799855208720585455341223983782797597981e-07) }}, 
+      {{ SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.2009299861504000000000000000000000000000e+13), SC_(2.1315566842952901383133166537091744517037e-07) }}, 
+      {{ SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(6.8786065506304000000000000000000000000000e+13), SC_(1.2057291635381585306948390322224691980686e-07) }}, 
+      {{ SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(1.1371902350131200000000000000000000000000e+14), SC_(9.3774215394935485896972213815330020585011e-08) }}, 
+      {{ SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(2.5035760310681600000000000000000000000000e+14), SC_(6.3200368060000748270052089626986544952113e-08) }}, 
+      {{ SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.1469385637888000000000000000000000000000e+14), SC_(4.9106185414357330063165805158992159612673e-08) }}, 
+      {{ SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(1.1188403227852800000000000000000000000000e+15), SC_(2.9896196892972535698523911149719922215353e-08) }}, 
+      {{ SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(1.5218330776371200000000000000000000000000e+15), SC_(2.5634006510771227977504261596923326303274e-08) }}, 
+      {{ SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.4040102334300160000000000000000000000000e+15), SC_(2.0395382001363947131894889252450225852029e-08) }}, 
+      {{ SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(8.2453193010708480000000000000000000000000e+15), SC_(1.1012762180819686988169059190977179001873e-08) }}, 
+      {{ SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(1.6155287555670016000000000000000000000000e+16), SC_(7.8676069206705721686739160646061162738048e-09) }}, 
+      {{ SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(2.8557572558553088000000000000000000000000e+16), SC_(5.9175148374379870044869266262258661750876e-09) }}, 
+      {{ SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(5.7448039442284544000000000000000000000000e+16), SC_(4.1721738244181442113153492090334854214536e-09) }}, 
+      {{ SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(1.1166935585443020800000000000000000000000e+17), SC_(2.9924919755272842369750912704937606548847e-09) }}, 
+      {{ SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.4972259272897331200000000000000000000000e+17), SC_(2.0011105533963776642033990255727731557085e-09) }}, 
+      {{ SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(5.5259337852138291200000000000000000000000e+17), SC_(1.3452319133683466469862596626245806009256e-09) }}, 
+      {{ SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(9.7723521452893798400000000000000000000000e+17), SC_(1.0115804927300277801996787703578238175588e-09) }}, 
+      {{ SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(8.2130944925245986708590354208435463786827e-10) }}, 
+      {{ SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(5.0810540199362043968630084658713816344770e-10) }}, 
+      {{ SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(3.5128492046848405653427116554810805655834e-10) }}, 
+      {{ SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(2.7905228395662256324925550216963799819010e-10) }}, 
+      {{ SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(1.7581620982159027260802321770518628861878e-10) }}, 
+      {{ SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(1.3174865171607575740912408496652222694310e-10) }}, 
+      {{ SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(9.9083311642663496103360578720840032308443e-11) }}, 
+      {{ SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(7.4894422095135435718800797093385600824823e-11) }}, 
+      {{ SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6487034137224996398964874636888506936392e-11) }}, 
+      {{ SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(3.3303725750631712974110693374310506680224e-11) }}, 
+      {{ SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(2.8059079623426516393955883405376573232942e-11) }}, 
+      {{ SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(1.7366784053673863974033326536113992767225e-11) }}, 
+      {{ SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(1.4174579577015182662211276866709482978684e-11) }}, 
+      {{ SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(8.8469673605375476579056333652865125744604e-12) }}, 
+      {{ SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(5.8807306860408691789442372090882123138894e-12) }}, 
+      {{ SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(4.0765364943708329355099009419688115468961e-12) }}, 
+      {{ SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.7274185254535508524767226216130358895591e-12) }}, 
+      {{ SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.2088186128220989678679262377034140424908e-12) }}, 
+      {{ SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(1.3079789498698502351096702727426864138485e-12) }}, 
+      {{ SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(9.1756664601092630442450512726348987325231e-13) }}, 
+      {{ SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(8.5561616674672163420286992516321746889392e-13) }}, 
+      {{ SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(5.9854921449893144564996792558570180852962e-13) }}, 
+      {{ SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(3.6306397413769180853374028023137719680906e-13) }}, 
+      {{ SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.7225910028738550227440733764732810996586e-13) }}, 
+      {{ SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(1.8757354407255498259758658644881736637405e-13) }}, 
+      {{ SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(1.3650251734740255702786138967514271285396e-13) }}, 
+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.1301627536648194057925630297746076478788e-13) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(6.1172291016109158707268663799365810972075e-14) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.9158044916446905163008063735754587589654e-14) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.4109969430842422903938392382620257248792e-14) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(2.6364106714990027821467945793770993526925e-14) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(1.4475675383362513140348987099395959191645e-14) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.0609002839065812059843422951055128266618e-14) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(8.3851389558227531421307623240720583980327e-15) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(6.2051639682311592461596062320916079198899e-15) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(3.6813432016667046128909080979857934601078e-15) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.8735767494586620086720575851533670198289e-15) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(1.9735106171367006973220786616130734391498e-15) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(1.6453049915217668953033533315599751479537e-15) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.1871184934119144561125791466798493269148e-15) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(7.0173227173365360727090233720037263115599e-16) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(5.1765176270172547693931350479685724857014e-16) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(3.9516051692773403952600385440674179220815e-16) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(2.7124844514714134221478580501658465126075e-16) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(1.7264822062208608084453237386475730089577e-16) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.2694101073754601529263649000817102038631e-16) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.5421631952002834589455315373158916356713e-17) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(5.9927180983941092709479939852926239799837e-17) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(4.1984668176046878820340926372477788998832e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7836562268294570644632044333197319023129e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.3045448245966114002697863302442752498869e-17) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_xy0.ipp b/src/boost/libs/math/test/ellint_rf_xy0.ipp
new file mode 100644
index 000000000..bea9af7e1
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_xy0.ipp
@@ -0,0 +1,327 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 315> ellint_rf_xy0 = {{
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7559809247369239448675450874161826991827e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8111322875077929632738813413886468605495e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5925407572540334087724394052920609777382e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.5545762196306999292434069148542537828759e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0942329983297076275458545239351417121796e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4746297883098470946407095287004116082863e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2194383184380185158410799903975312591310e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9426078250536213808890629979160318044746e-01) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9413723371370236743589734380918290964393e-01) }}, 
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+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9416463290686854878946603332685831000108e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.8709786536488535117265266635803721789960e-02) }}, 
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+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3382412785735963370216851603415802074981e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0880503710244920337851780648355172828740e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.9787726540214876485940624530084444221288e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3640497333983703396012850103887779264772e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3633902426120409551898021992709692277690e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2098415756972733586014866278253254920960e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9424589878244563640992512276965343424655e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9166314463993991141227279774998228667731e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8313465330102236635204191357588052688165e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8226220678618263788150165083233189503139e-02) }}, 
+      {{ SC_(2.0407104492187500000000000000000000000000e+03), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.7609871242572746874778137966977439540190e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4007753416031394773768929581075773143535e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.1938915693605629469146710689546017284938e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.1431889039167446692368543670437410580340e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8852712116158162389322935892974017556667e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.7604624641026020776958647959566990470803e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.5803594771415783786131097634724610279582e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.5016079643773702203538390328574934243992e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0574138563683347779199109633373955845548e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0569360669985872257236740977454549528854e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9456090698175802865333422234285924418356e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7513192427860295301548234141056108361285e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7325206681641884717992076011285604872411e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6704041100974154278797361566526247740927e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6640460113109715228042612486284246388655e-02) }}, 
+      {{ SC_(4.0089736328125000000000000000000000000000e+03), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6191083819309406544321150667318097707137e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8739424206745752760977764733929290153084e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7286404358852851762509119080861604538168e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.6930153241503088930336711606407585013351e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5116892847956755020152960742442974421694e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.4238713518054103242802712658967793177746e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2970484603988516652993174485730803720217e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2415530024931976886609521359223927850540e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9279563892675494591049689246048364873777e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9276184622485196978024725957768513369285e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.8488382037945291180918751545879587600239e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7111323894643449770293880958303516739055e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6977926294555984925781229580665682108269e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6536921684058717642574801595787981015741e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6491762392834718894237949197379187283127e-02) }}, 
+      {{ SC_(8.1775058593750000000000000000000000000000e+03), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6172482134188660888819089439873939439701e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7401552866500812100634608935232776866072e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6364145456608382167808906782399657718070e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6109734428602538762404633814952482066442e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4814392602325622705679991368069518254657e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4186748330607447285124306394412636926093e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3279921632708835857023528331462186267049e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2882938552537384729082725744205592587214e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0637193669526324960726029721485740165122e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0634771055706497066441283897212907402154e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0069809871020035228206629097078134922941e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.9081318515019273021834127174106603027772e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8985491074105765473838661465682119039960e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8668594781911543713709512916169487314059e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8636135731581206004689746195642582286894e-02) }}, 
+      {{ SC_(1.6096367187500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8406600405954442460878522053460830092706e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8359346092437946291249250086214713251245e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7625588056546744385928543850912778546830e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7445617781201546681115576299616847103471e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6529108659992428314313075760476484172877e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6084895326095182147773161565149732571915e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5442913264076639394570183705984373450498e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5161796540102252066052032496339195358377e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3570423803051451155068736310973842897928e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3568705919885355076067174835229954553924e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3168007850901381953533453517096814241140e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2466487014076504643720599098021373484316e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2398446899222937624942289553396372196581e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2173397345209664554976619489707371586536e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2150342010328799146595214328062920451915e-02) }}, 
+      {{ SC_(3.2238710937500000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1987283643062583806432985939778003173880e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9508079528808593750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6561505082365569195200245969375219723828e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.5397361755371093750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5884948103274537016858785780556337481702e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(2.7095397949218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5719003794525665466115473605901803371379e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(3.7676391601562500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4873894632568988528573979173151666018964e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(4.4206802368164062500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4464267804893613030668050924763246673327e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(5.5699645996093750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3872243229625525593330139579323315519624e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(6.1633407592773437500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3612990771673377593198233107443714374986e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0937628173828125000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2145220938931660432288645394888939513784e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.0944409179687500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.2143636301350260720931458477056567816435e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.2647183227539062500000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1774005017818951277531706396793724253128e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6294470214843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1126805941268334997029774284844670594188e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.6700170898437500000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1064029335750491070962556102321117762207e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8115838623046875000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0856382326778069373346951681026183485751e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.8267517089843750000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0835109177978058735036087760890651932154e-02) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(1.9377355957031250000000000000000000000000e+02), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0684651831096071197043466795415607881621e-02) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rf_xyy.ipp b/src/boost/libs/math/test/ellint_rf_xyy.ipp
new file mode 100644
index 000000000..2599e0b02
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rf_xyy.ipp
@@ -0,0 +1,6642 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 6630> ellint_rf_xyy = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.9640767714989779208405422148051165793035e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.7167064915262036620081126218518400181051e+00) }}, 
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+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.3725569761634523058953727717910693071462e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.3725569761634521940426214164390778407198e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(4.3725569761634521009124210233272655980326e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.3725569761634518378213306717205040646775e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3725569761634517201171712814549677810087e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.3725569761634517078792277280194607160212e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.3725569761634516662998631672810521823699e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.3725569761634516619428416986422798563458e-17) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.3725569761634516305976872341179843321629e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.6155149990764586941729864045687397413947e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105462418839995521946561242189e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(8.6080576538766280832498434735059579803642e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105462330814315316057567807885e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.5516522161344311345292254892987478914317e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105461564184349973733502719278e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(8.5133592796819842466991811512773742930093e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105460925877277196674001750401e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.4305321458618132349929294713805400131880e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105459122671624817557937576206e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(8.4013345678295687350664696643742974366188e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105458315936568767557422909677e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(8.3985007666356564322046933861752989496322e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105458232058665644500560677452e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(8.3891249950879185569490012656112018183009e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457947076969388447528462809e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(8.3881642484941654395101779943171244780346e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457917214286736265461292727e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(8.3813680645235495664624223836001371493400e-16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.6199705454105457702377061995631045669411e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.6199705454105462418839995521946561242189e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.6199705454105462330814315316057567807885e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.6199705454105461564184349973733502719278e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.6199705454105460925877277196674001750401e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.6199705454105459122671624817557937576206e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.6199705454105458315936568767557422909677e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.6199705454105458232058665644500560677452e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.6199705454105457947076969388447528462809e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.6199705454105457917214286736265461292727e-17) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.6199705454105457702377061995631045669411e-17) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg.ipp b/src/boost/libs/math/test/ellint_rg.ipp
new file mode 100644
index 000000000..d256527ab
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg.ipp
@@ -0,0 +1,10005 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 9993> ellint_rg = {{
+      {{ SC_(8.5214803406892997464706775999511235082618e-33), SC_(5.6225057996800000000000000000000000000000e+11), SC_(1.2320223882817680737041525353776729584387e-22), SC_(3.7491685077094094251251986028089797624839e+05) }}, 
+      {{ SC_(8.8050242717870207719865864619358444438226e-33), SC_(1.5147710654693024643825008640000000000000e+27), SC_(7.5908822684631754862394359406607691198587e-15), SC_(1.9460029968304920780981508489456135737097e+13) }}, 
+      {{ SC_(3.0737560969270437688059003435623043887151e-32), SC_(6.1771426200866699218750000000000000000000e+00), SC_(1.2853826891756625627749599516391754150391e-09), SC_(1.2426929061068805930169720114110707714738e+00) }}, 
+      {{ SC_(3.7769435766814533842259693603637407810989e-32), SC_(3.5717604966400000000000000000000000000000e+11), SC_(9.4340326735849181700434165760000000000000e+27), SC_(4.8564474344897745530176546205644092329362e+13) }}, 
+      {{ SC_(4.0222166443258654897730630747219827585656e-32), SC_(1.0411048804180657164102538197266671779961e-26), SC_(9.1114250440145882258368180230817564743535e-31), SC_(5.1030254378178664249026340625844284476833e-14) }}, 
+      {{ SC_(7.1188613795049454297903766717688101039963e-32), SC_(2.3247959583416859581226265787229356973853e-21), SC_(1.1725184129000169654437625013052600539929e-29), SC_(2.4108069611185385292598284955987729191085e-11) }}, 
+      {{ SC_(7.5654393240956127989365014790470331815965e-32), SC_(6.6945583711884843896724444007687557006616e-26), SC_(3.5177418124498563654090814182217282490850e-22), SC_(9.3824354393376332745395675786759900646397e-12) }}, 
+      {{ SC_(7.7194132148795963615990483874798948650741e-32), SC_(8.2481992156463457277482120844069868326187e-13), SC_(1.5703642901737160273035264000000000000000e+25), SC_(1.9813911086492464797710435189115898636152e+12) }}, 
+      {{ SC_(7.7874296690068755613851354209966484444841e-32), SC_(2.0782488162753068680756785929774964910718e-26), SC_(1.1621437145947766111930832266807556152344e-10), SC_(5.3901384829027829052663255062486031470943e-06) }}, 
+      {{ SC_(8.0039874667758131221156918470394910989716e-32), SC_(5.3249444098867200000000000000000000000000e+14), SC_(1.3591955339009587078180629760026931762695e-09), SC_(1.1537920533924993193058678459182543523484e+07) }}, 
+      {{ SC_(8.2435702601414822394085859000051744906733e-32), SC_(4.3764065951108932495117187500000000000000e-02), SC_(4.4563604229324800000000000000000000000000e+14), SC_(1.0555046687405613334631418297816259893593e+07) }}, 
+      {{ SC_(8.6430490848305776038291733560782452395776e-32), SC_(1.6506731981280609034001827239990234375000e-07), SC_(1.5222772800000000000000000000000000000000e+08), SC_(6.1690300696301316988491488603758457809799e+03) }}, 
+      {{ SC_(9.1448911330836285867311863585491663643519e-32), SC_(1.1898920528483413717728998102281123979383e-24), SC_(9.5642413944005966186523437500000000000000e-03), SC_(4.8898469798145515738279938103273784119603e-02) }}, 
+      {{ SC_(9.3327950805569220671674968627606795581969e-32), SC_(4.8976274414062500000000000000000000000000e+03), SC_(6.3141887894513254400000000000000000000000e+17), SC_(3.9730935017477767864076202424361734807971e+08) }}, 
+      {{ SC_(1.0307256387501581965523420077387176780195e-31), SC_(1.7531509145600000000000000000000000000000e+13), SC_(2.9346846121054324333515817002648873312864e-17), SC_(2.0935322511009951002158695643591497042553e+06) }}, 
+      {{ SC_(1.1192858549984532684289462590955432784670e-31), SC_(1.3954909970314437787143207733424224263608e-24), SC_(2.4581588800000000000000000000000000000000e+08), SC_(7.8392583832911133354663437571966379280684e+03) }}, 
+      {{ SC_(1.1207676831770998440614916483743656413684e-31), SC_(7.2723598632812500000000000000000000000000e+03), SC_(3.6385473953792000000000000000000000000000e+13), SC_(3.0160186521905641011554811733827822865490e+06) }}, 
+      {{ SC_(1.1404405215335914833373548293140097005833e-31), SC_(2.2341125949820161956070607711666298200726e-17), SC_(7.5615730565914418548345565795898437500000e-07), SC_(4.3478652979070552741130844392144201922217e-04) }}, 
+      {{ SC_(1.1722666784337996709293559804383408356365e-31), SC_(1.6896015729248058955549114368000000000000e+28), SC_(3.2793202688000000000000000000000000000000e+10), SC_(6.4992337489214949094686035782033542274326e+13) }}, 
+      {{ SC_(1.2048759496705256664591659038437694307603e-31), SC_(2.1627526862340096000000000000000000000000e+16), SC_(1.3544430704958754160329110925467712097727e-27), SC_(7.3531501518635018282964996258056557723449e+07) }}, 
+      {{ SC_(1.3072762013065321869970924654425423073693e-31), SC_(1.0474774159069816685183096288804804343230e-24), SC_(7.0026227246694400000000000000000000000000e+14), SC_(1.3231234565101474309211209383641144294020e+07) }}, 
+      {{ SC_(1.5315316062823944152448313658257311154534e-31), SC_(9.5040380859375000000000000000000000000000e+03), SC_(9.5736267076505744021913600000000000000000e+24), SC_(1.5470638890855941637197871641896601705605e+12) }}, 
+      {{ SC_(1.5327201486205108301441385553385165280583e-31), SC_(4.6155710767934367334400000000000000000000e+20), SC_(2.1352810213901521335326796386653678292240e-31), SC_(1.0741940091055987561129885722102316987750e+10) }}, 
+      {{ SC_(1.6065060465710608992480869446536106114795e-31), SC_(7.1216149750217466382777934371072532144966e-31), SC_(9.6591959061168128000000000000000000000000e+17), SC_(4.9140604153074911091529029581326298690454e+08) }}, 
+      {{ SC_(1.6356578362737133005307084232821074153911e-31), SC_(6.2347960128050772254937328398227691650391e-11), SC_(6.1418953256620056890824344009160995483398e-10), SC_(1.3705042723669837995741417048401179452686e-05) }}, 
+      {{ SC_(1.6545594327866304369725933161796799592168e-31), SC_(3.7602552003141868951566206824566052091541e-17), SC_(3.2196853114120540378939594461371598299593e-15), SC_(2.8888435982041098472921289400616714069851e-08) }}, 
+      {{ SC_(1.6957931885259044737196190626850544486541e-31), SC_(3.3232738949529600000000000000000000000000e+14), SC_(6.1079510000000000000000000000000000000000e+06), SC_(9.1149252507395079616800489295510792730658e+06) }}, 
+      {{ SC_(1.7894256628979977161931084121999940392014e-31), SC_(1.5522605162668597168404692992000000000000e+28), SC_(4.2132505768677219748497009277343750000000e-06), SC_(6.2294873710981622730062435379932536102132e+13) }}, 
+      {{ SC_(1.8465154268366434246776228521086519561378e-31), SC_(3.1077640869625611230731010437011718750000e-06), SC_(7.8545227459538739789824000000000000000000e+23), SC_(4.4312872695058582657869328283480695382854e+11) }}, 
+      {{ SC_(1.9189482132399619586311484287957495125593e-31), SC_(1.0864251720477113849483430385589599609375e-08), SC_(1.1709810400000000000000000000000000000000e+08), SC_(5.4105938675897724915484751254804069641660e+03) }}, 
+      {{ SC_(1.9858359576915815979520838814894622916694e-31), SC_(1.3903024579418588289433600000000000000000e+23), SC_(6.4386802909720958210115782094362657517195e-15), SC_(1.8643379910452522536607881187404874632970e+11) }}, 
+      {{ SC_(2.0520355677502298701658544358142851681597e-31), SC_(1.7880302788811987463998050323311383866471e-25), SC_(3.6161928125000000000000000000000000000000e+05), SC_(3.0067394352105072292298063245047898307305e+02) }}, 
+      {{ SC_(2.1442279439931307282133312861974737855270e-31), SC_(1.1196104665942429036043144100842985921851e-21), SC_(3.7392591800688990133494371548295021057129e-10), SC_(9.6685820835158692581752661058205075641425e-06) }}, 
+      {{ SC_(2.1527991786015865198064361255322835121114e-31), SC_(9.3067960000000000000000000000000000000000e+07), SC_(2.4057926567518230334668800000000000000000e+24), SC_(7.7553089183343059053973188039576677920862e+11) }}, 
+      {{ SC_(2.4755530168147708496669009603262433967261e-31), SC_(9.8354606143244754986494923158003325038474e-29), SC_(8.5892461356706917285919189453125000000000e-05), SC_(4.6339092933695550836005464002239903350229e-03) }}, 
+      {{ SC_(2.5647570513190112884116196886845056211314e-31), SC_(1.4231621436342100541944279265202388806699e-20), SC_(4.0793710977838219264000000000000000000000e+19), SC_(3.1934977288953181305032081496430362171269e+09) }}, 
+      {{ SC_(2.5931673391851649907342144883053226324694e-31), SC_(6.1113262176513671875000000000000000000000e-01), SC_(4.0582235815936000000000000000000000000000e+13), SC_(3.1852094050449126962133486307591863981204e+06) }}, 
+      {{ SC_(2.6335890634268909912707354316107839945926e-31), SC_(2.6911281250000000000000000000000000000000e+04), SC_(3.8621646817773580551147460937500000000000e-03), SC_(8.2023342867686179694280504362925823127915e+01) }}, 
+      {{ SC_(2.6489106918943788511071015373842461892064e-31), SC_(8.0551827432259097763744826181664393516257e-16), SC_(4.1777858116084519927808000000000000000000e+22), SC_(1.0219816304132442664475432773915084258189e+11) }}, 
+      {{ SC_(2.7445707764722054573030861605522404313233e-31), SC_(3.1075676987685026804701369278476032444522e-27), SC_(4.9994481250000000000000000000000000000000e+05), SC_(3.5353387832709894339037895716591998006687e+02) }}, 
+      {{ SC_(2.7775022507104918418388303146425216439874e-31), SC_(9.0374893849707753871769600000000000000000e+23), SC_(6.0498291015625000000000000000000000000000e+01), SC_(4.7532855439608231543664250510122606127707e+11) }}, 
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+      {{ SC_(1.0900022755818635845038610841600000000000e+30), SC_(6.2040995000000000000000000000000000000000e+06), SC_(3.9506387050636249114177189767360687255859e-10), SC_(5.2201587034827389060481384463357204715255e+14) }}, 
+      {{ SC_(1.1094420294348579993761066516480000000000e+30), SC_(2.9333664315345231443643569946289062500000e-06), SC_(5.5360951974751562508245348889041829304469e-23), SC_(5.2665027044397736627659068811082358723206e+14) }}, 
+      {{ SC_(1.1210961498938067505345976074240000000000e+30), SC_(2.4133712281600000000000000000000000000000e+11), SC_(3.9466905727502225259772179590868617559768e-29), SC_(5.2940913996025010918984072118956786497984e+14) }}, 
+      {{ SC_(1.1241545055438405846036339752960000000000e+30), SC_(1.8608855775759103323707677191123366355896e-11), SC_(2.1568896031033585885489729967734451321348e-20), SC_(5.3013076347818199990239999408725232952142e+14) }}, 
+      {{ SC_(1.1346970942695174101503060213760000000000e+30), SC_(8.2726808904913139636633600000000000000000e+23), SC_(1.2234718793635579459078144282102584838867e-09), SC_(5.3261235264364735855397248500842724881620e+14) }}, 
+      {{ SC_(1.1707403108869628680222896291840000000000e+30), SC_(8.9865224609375000000000000000000000000000e+03), SC_(3.5724637508392333984375000000000000000000e+00), SC_(5.4100376867609777955230828387368018819567e+14) }}, 
+      {{ SC_(1.1860917042916117847686491668480000000000e+30), SC_(4.3954396800000000000000000000000000000000e+08), SC_(1.5272757500000000000000000000000000000000e+06), SC_(5.4453918690292891187788664898383219636534e+14) }}, 
+      {{ SC_(1.1862981283753109827002302464000000000000e+30), SC_(6.7803423965184000000000000000000000000000e+13), SC_(3.5269804800000000000000000000000000000000e+08), SC_(5.4458656988015053113899993763590158031893e+14) }}, 
+      {{ SC_(1.2054018764083162565762309160960000000000e+30), SC_(3.8507751980878168489346108707693794315219e-19), SC_(4.0277950000000000000000000000000000000000e+06), SC_(5.4895397721674178990155019280870210760929e+14) }}, 
+      {{ SC_(1.2201812967845600018943075942400000000000e+30), SC_(5.8934980814635322572800000000000000000000e+20), SC_(3.4797973757167849939173773156537994299953e-21), SC_(5.5230908548293160086118983393107718232206e+14) }}, 
+      {{ SC_(1.2497233636913003395506619023360000000000e+30), SC_(1.6580990452902188089298095070143768689844e-24), SC_(1.1644522659480571746826171875000000000000e-02), SC_(5.5895513319301852967365926558789527259506e+14) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_00x.ipp b/src/boost/libs/math/test/ellint_rg_00x.ipp
new file mode 100644
index 000000000..ed6ffc752
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_00x.ipp
@@ -0,0 +1,675 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 663> ellint_rg_00x = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8695000169531189693636701563837803699463e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.0913389407991590131117739644875098957769e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(3.8316687838956488016434687257271923313486e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(5.3172158517843024689477691002220959899307e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(5.8930427511845963170368827281430457466577e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.1015482067254804730500197721409557719541e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.5357141094428259087485341009850587033597e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.7349585963891261367539507231389649871186e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(2.8369263961695202702934514450953761444918e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(3.5915905052801518433569362444869627546944e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(4.6524367178817738822406615091874289995103e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(7.8119829470338423930192781664793621737565e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.0042694986341419504582649316904466296073e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(1.3692829082753103947758067732865084585846e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(2.2093203505333961026893840214478165808216e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(3.5463853651736465659350239323451562267196e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(4.9706345239029507266434873446587342440930e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(7.0991387432498912292619373853169078278675e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(9.9599960742576043212497479078858903147334e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(1.4095616199426038257903753238904109076566e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(1.5289801939020414609906770546277462295745e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.6401906826019526228015819090913075955906e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(3.9897768654231557860058176028361758280846e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(5.6574333504819360450100112265404995427795e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(7.9523245579735963214733273604345486304799e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(8.4689497721487256772525847403176899231508e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(1.3855694547098548554317861053030936606666e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(2.1559207634003282454531254669497672386290e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.0507753021192346839846744931085396804866e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(3.6620992141996808033471281550077436845216e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(4.8593882195716056509977625375072570125253e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(6.4464608291029104010136202972823608894938e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(1.0844598492317095988877630610447335661034e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(1.3566200698452596197711626216879321590467e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5176648333267374679682460563050603066757e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(3.2940922350680393113450713321419925149264e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(4.8702839070930842168909037214134643751813e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(7.0513571600661542320124270053683486242623e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(1.0185021044577462080450357978829247002679e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(1.2617704585597710031792788671092631410921e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.8724762729639497382499017608610594455516e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0458090701845262557668142034197900080983e-21), SC_(2.7594424573564341023491743425095842340473e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5091263406486883653093633225750203052939e-21), SC_(2.9618939636019586771937139157788183265357e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.2244855466440840911323921502695810659134e-21), SC_(4.8022092693478290594576330739524432645684e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5060373697831631136892266593918510153571e-20), SC_(7.9152343139403698793791078370791875230378e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2849267904344328986699199160459450297367e-20), SC_(9.0621834985206971622545306556298946794564e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.6189654348195389829965943466574960353963e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8229333961140025508894553507577285245134e-19), SC_(2.1347912053137670674742143235181056376938e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.0166934670320915253002168314585581333927e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0660607797570928288862987520779768146895e-19), SC_(3.8942460052483500072505138455028872472442e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5245964393311865802196902741627582145156e-18), SC_(6.1737274788639370670927005241364346821286e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0195417624247973304059400323495765405823e-18), SC_(8.6884143582485713110649224582052834382358e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0477044011936223152393898860879062340246e-18), SC_(1.2296040420795653755680793470149828283638e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0233193632958864486594274811892546495073e-17), SC_(1.5994681641844942084181834925328605962446e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9321026667662503885011804349858266505180e-17), SC_(2.1977844905530719417687451499607034719446e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9470861839323539803359164324092489550821e-17), SC_(3.1412920048653364486918586877714034706527e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.1897463183816027049166663687174150254577e-17), SC_(4.7931582277193819717788084925318668334939e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3032517747881629428807759296660151449032e-16), SC_(5.7080026602747894630399391748577601858331e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6005563194954166295058683999741333536804e-16), SC_(8.0631202389264551843328465313886669338873e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.7816541979623537611532313462703314144164e-16), SC_(1.2022535296228447506184746882928854052045e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5152733329692157082657644195933244191110e-15), SC_(1.9463255977413027053548228467389703015052e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1926103267695439547058100515641854144633e-15), SC_(2.8251594321248243293387599542232829865807e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6658061297861060934266674848913680762053e-15), SC_(3.0272950507780481676144037828589401662440e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3546521982672270478786913372459821403027e-15), SC_(4.8359725491019970862831220071825007287946e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8146163011881905058331199143140111118555e-14), SC_(6.7353847350915866330848589413571530162889e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3217629955581990941482217749580740928650e-14), SC_(1.1534473325165522153508389460454614969438e-07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9467947059743675453091782401315867900848e-14), SC_(1.2193025369011547686616205983808918115002e-07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3063909762994763141819021257106214761734e-13), SC_(1.8072015495645998326155657647920234300556e-07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4945887369676178479949157917872071266174e-13), SC_(2.4972929028087683691604836837264012295745e-07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0679720676778430288322851993143558502197e-13), SC_(4.7612950096790481873520480441983664831265e-07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6584251333329191879784048069268465042114e-12), SC_(6.4389928042608480383224915368358960035787e-07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3140226673999961803929181769490242004395e-12), SC_(9.1022286658268426798602782413447024975245e-07) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.1657502020695531541605305392295122146606e-12), SC_(1.2415464351031693444190384716378022015062e-06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1867811141389523754696710966527462005615e-12), SC_(1.4306275820543717218309794512364997666776e-06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9166314368934678213918232358992099761963e-11), SC_(2.1889674717166697891889190396772084519587e-06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1331883188510118998237885534763336181641e-11), SC_(3.5823136095444700400409616621017375100789e-06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1351786177726808091392740607261657714844e-10), SC_(5.3272380690482587281457875665770152441488e-06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7352735914855088594777043908834457397461e-10), SC_(6.5864891852289351107383772685233180437330e-06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4085067273915683472296223044395446777344e-10), SC_(7.7596822218947348256969302507905948939966e-06) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.7467654513441175367916002869606018066406e-10), SC_(1.3916505893492192906605905078845421503053e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3399348297582491795765236020088195800781e-09), SC_(1.8302560133477564807269327176728874987931e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0971455683138628955930471420288085937500e-09), SC_(2.2897300978029391398915403680223046942840e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1467061723542428808286786079406738281250e-09), SC_(3.5870273808385694007956663380557861370816e-05) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.0167588950862409546971321105957031250000e-09), SC_(4.7478307928690553100473228853611396038651e-05) }}, 
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+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.4241415528748582299770320591950009202687e+12) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.1736353452632599784077638090281567199672e+12) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0171275136141836317192779281982309228935e+13) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4658471067051066783568147427705258231754e+13) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8965178885264921222260202286143534060863e+13) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.4540702713924525243639503557917572766697e+13) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7129782844325082182310626238780470804039e+13) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.9629304014430587663297316732825619498070e+13) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.0578047987107379395246253358866915814541e+13) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3581999085921361385489614154149704046472e+14) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7399918067063716567060561978883081855268e+14) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5335561696923270744676233140894501246453e+14) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0389502406939312371731261423476572875272e+14) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.2118794608526631407393399696705143265567e+14) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.1252245356299900262388215292670498952268e+14) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.6590031373679192010017178725311277183004e+14) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2653085988634809413230820274833081362941e+15) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8433285386346460518233700036843373483381e+15) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8960622831697886278887663202234470113675e+15) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9388373945892361714711325360660524509593e+15) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8533182821997908655188024659144315251737e+15) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.3434593750369609507568693568489478189925e+15) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1909109246819302883781302864348400525701e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7961988092527235108682319995292332426926e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.1696258396168112414049115446739966517574e+16) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_xxx.ipp b/src/boost/libs/math/test/ellint_rg_xxx.ipp
new file mode 100644
index 000000000..3a1c5d5e6
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_xxx.ipp
@@ -0,0 +1,675 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 663> ellint_rg_xxx = {{
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.9366037595729562344462924962175731194096e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.2850675262904487353938250899031082682224e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.0187712512379536673407044223999410043702e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3522631287583797670024193040135750338626e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(9.2567699072060558024969490712618189118285e-17) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.7303078769118901630981225560868245850791e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(2.4122940821198867982217508980542043434085e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.7252665903492689247397148938036378699118e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(4.4562335624905661150827292985428353635628e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.6416571730454892665777100989060794392367e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(7.3080305070943951348182761789841396678499e-16) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(1.2271034118185131062707668698236451086310e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.5775028395666626232037304447055895962141e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(2.1508645626618909191827230658228499084748e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(3.4703922913310720158451582695684174704763e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.5706491050139421150612202126909806462080e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(7.8078544519866547604555660361421178698590e-15) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(1.1151301061304267829287707330029776978044e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(1.5645125248335435252365433492757109853206e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(2.2141342149969061867156665385009433470888e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(2.4017164723234755178282112971381700594179e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(4.1472018262692579480491163274028454942961e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.2671268449379496857957869775423334277517e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(8.8866755260239701126933163035938883725648e-14) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(1.2491482205145775012940843901194642708150e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(1.3302995193901694961731116077806786980132e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(2.1764474099774478781645602785392607951471e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(3.3865124160100850013093267925336486187836e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(4.7921466384454848292238914229467528014957e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.7524119940233359209274034551784329634544e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(7.6331091657734707177781044918018356672035e-13) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.6622742888463273191629024333782773358015e-24), SC_(1.0126076991182035452880427943833301075917e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7042126583826492571881501298937085578378e-24), SC_(4.7042126583826492571881501298937085578378e-24), SC_(1.7034655477297168284782266972329790926613e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3616720556278283564328024996187890133248e-24), SC_(7.3616720556278283564328024996187890133248e-24), SC_(2.1309738225691699063540555812982976852896e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5354544851880595018243965945098708503203e-23), SC_(2.5354544851880595018243965945098708503203e-23), SC_(3.9547386722903248366200762137236112288968e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.3404174612542203037430892437393593896733e-23), SC_(4.3404174612542203037430892437393593896733e-23), SC_(5.1743479829684672913761408385171617083448e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.4878661342759511104190386438428025939196e-23), SC_(9.4878661342759511104190386438428025939196e-23), SC_(7.6502240717101142403458237828594697159217e-12) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.9888655119526487934053853251590432416052e-22), SC_(1.1076245925950808952123631608357580468950e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1493861471394310727732518591110572048208e-22), SC_(4.1493861471394310727732518591110572048208e-22), SC_(1.5998593645150998453510227927298589337877e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.3682587603765391777064795220987536428225e-22), SC_(6.3682587603765391777064795220987536428225e-22), SC_(1.9819844015640006149504620205612309284072e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4024669571251856037905211219835033276127e-21), SC_(1.4024669571251856037905211219835033276127e-21), SC_(2.9412788515823704382615164906595824917457e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0458090701845262557668142034197900080983e-21), SC_(3.0458090701845262557668142034197900080983e-21), SC_(4.3345220760173698407471910694194221946988e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.5091263406486883653093633225750203052939e-21), SC_(3.5091263406486883653093633225750203052939e-21), SC_(4.6525321583819339147285621455974103223277e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.2244855466440840911323921502695810659134e-21), SC_(9.2244855466440840911323921502695810659134e-21), SC_(7.5432926807919742157179904113670412734720e-11) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5060373697831631136892266593918510153571e-20), SC_(2.5060373697831631136892266593918510153571e-20), SC_(1.2433220986058456586184715727595378771738e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2849267904344328986699199160459450297367e-20), SC_(3.2849267904344328986699199160459450297367e-20), SC_(1.4234844552217636563256015923344479241661e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0484196316561675708982576474270764776975e-19), SC_(1.0484196316561675708982576474270764776975e-19), SC_(2.5430649582224344582952451060533979964534e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8229333961140025508894553507577285245134e-19), SC_(1.8229333961140025508894553507577285245134e-19), SC_(3.3533221837809152986769617481184581014223e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6401757896136402713757954097140157045942e-19), SC_(3.6401757896136402713757954097140157045942e-19), SC_(4.7386110170801709302383407997706098152864e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.0660607797570928288862987520779768146895e-19), SC_(6.1170673206798078929781737598155185485477e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5245964393311865802196902741627582145156e-18), SC_(1.5245964393311865802196902741627582145156e-18), SC_(9.6976684464321900998888841045261734666464e-10) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.0195417624247973304059400323495765405823e-18), SC_(3.0195417624247973304059400323495765405823e-18), SC_(1.3647729359608894810022446148586816859343e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.0477044011936223152393898860879062340246e-18), SC_(6.0477044011936223152393898860879062340246e-18), SC_(1.9314575127107387876613635342570667493650e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0233193632958864486594274811892546495073e-17), SC_(1.0233193632958864486594274811892546495073e-17), SC_(2.5124387171263801250299439216242461560859e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.9321026667662503885011804349858266505180e-17), SC_(1.9321026667662503885011804349858266505180e-17), SC_(3.4522718048475585754837003759786783817502e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9470861839323539803359164324092489550821e-17), SC_(3.9470861839323539803359164324092489550821e-17), SC_(4.9343299426326470130448956067250030880609e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.1897463183816027049166663687174150254577e-17), SC_(9.1897463183816027049166663687174150254577e-17), SC_(7.5290753378483418309157183443962235461125e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3032517747881629428807759296660151449032e-16), SC_(1.3032517747881629428807759296660151449032e-16), SC_(8.9661096120951374561824698334962801412286e-09) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6005563194954166295058683999741333536804e-16), SC_(2.6005563194954166295058683999741333536804e-16), SC_(1.2665519653811265006131974121871547614778e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.7816541979623537611532313462703314144164e-16), SC_(5.7816541979623537611532313462703314144164e-16), SC_(1.8884954282077639660960092257752017643832e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5152733329692157082657644195933244191110e-15), SC_(1.5152733329692157082657644195933244191110e-15), SC_(3.0572810996789198255931591409318060371382e-08) }}, 
+      {{ SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.1926103267695439547058100515641854144633e-15), SC_(3.1926103267695439547058100515641854144633e-15), SC_(4.4377500585916301113062416498412978000449e-08) }}, 
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+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(8.8482831057497164599540641183900018405375e+12) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6723325902934740461577830400000000000000e+26), SC_(1.2839116376900465379645156897764299799122e+13) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(1.6347270690526519956815527618056313439934e+13) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.5977001622671858520930535293480353885335e+13) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(2.0342550272283672634385558563964618457870e+13) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.5948309609429296171135795200000000000000e+26), SC_(2.3025472508553084452308520760749900543533e+13) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(2.9316942134102133567136294855410516463509e+13) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4387120406003935998650613760000000000000e+27), SC_(2.9790433329982270371620087227957023448592e+13) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(3.7930357770529842444520404572287068121726e+13) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7722405758868522542091468800000000000000e+27), SC_(5.4256408947947161107175930176800818943854e+13) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(6.9081405427849050487279007115835145533393e+13) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(0.0000000000000000000000000000000000000000e+00), SC_(8.8848657238129553346144501760000000000000e+27), SC_(7.4031289774506974089681946144414834969091e+13) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(9.4259565688650164364621252477560941608079e+13) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.4222615588981551190220210176000000000000e+28), SC_(9.3665491715203750251715902989238059343902e+13) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.1925860802886117532659463346565123899614e+14) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5971287269650318385179787264000000000000e+28), SC_(1.2657170179845118485075177848201156995334e+14) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(1.6115609597421475879049250671773383162908e+14) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.3788279667987478486078980096000000000000e+28), SC_(2.1334554274696917945047147294103689831446e+14) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(2.7163998171842722770979228308299408092943e+14) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.7331727386275843637855005414321815043904e+14) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(3.4799836134127433134121123957766163710535e+14) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5675627459944222489782622617600000000000e+29), SC_(3.9797007250812551528851586684976855502777e+14) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(5.0671123393846541489352466281789002492906e+14) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.7735718753944941501879984350680081563380e+14) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(6.0779004813878624743462522846953145750545e+14) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(0.0000000000000000000000000000000000000000e+00), SC_(7.0959714371010081353141059584000000000000e+29), SC_(6.6160047860102328328306000176101801354634e+14) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(8.4237589217053262814786799393410286531134e+14) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.1192276528156461323268927556498335683568e+15) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(1.4250449071259980052477643058534099790454e+15) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.5172326648677909730236842431091492235703e+15) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.9318006274735838402003435745062255436601e+15) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.4040234014314612931042308259840000000000e+30), SC_(1.9875420993567531657222203961314908274387e+15) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(2.5306171977269618826461640549666162725883e+15) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3591440405379759208451461349376000000000e+31), SC_(2.8954936975635066980078481013868564183761e+15) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(3.6866570772692921036467400073686746966762e+15) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3548706991994435886603137187840000000000e+31), SC_(4.5491239965723457288592628821698758881194e+15) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.7921245663395772557775326404468940227350e+15) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(0.0000000000000000000000000000000000000000e+00), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.1871113112631529859540522584168184572734e+15) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(7.8776747891784723429422650721321049019186e+15) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.3704533965093724230190214466764800000000e+32), SC_(9.1943708572408456033307961256304486661631e+15) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.1706636564399581731037604931828863050347e+16) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.3105875339070502025565113701553064275724e+16) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.6686918750073921901513738713697895637985e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(0.0000000000000000000000000000000000000000e+00), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.8706785060302898834078011189963298841313e+16) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(2.3818218493638605767562605728696801051402e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773847679055568e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(3.5923976185054470217364639990584664853853e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283326332711e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.3392516792336224828098230893479933035149e+16) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_xy0.ipp b/src/boost/libs/math/test/ellint_rg_xy0.ipp
new file mode 100644
index 000000000..1171e61a9
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_xy0.ipp
@@ -0,0 +1,264 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 252> ellint_rg_xy0 = {{
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5773083207076490964863743728583347676603e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7960711391651270067331004172790937905753e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8543386056445638102390883382731952293521e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3623897355108417432714253062626016398084e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7859514698032361519097275514111191936555e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7070042752664199629816247605327492249422e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9838880072852843038915793550888957924643e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5202050894201170277529368379487266881179e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5759756306067477293878084820517125619437e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7654706374840355683930904036501232073455e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7853283259091174187960085217227858518750e+00) }}, 
+      {{ SC_(5.6710109114646911621093750000000000000000e-02), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9281924805093153786407449470999754362508e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.5806345626798833650574532648409670131868e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.7991158121674539503143813744460816347531e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8573171561773112979414068637555918629621e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3649047355381259634197092469688834331661e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.7881871229547219796921361464457285907574e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7088194094319212559119722871665740564211e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.9856087850503852490926802764633002464645e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5217709224706787562102230337626174063033e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5775271060666336507729459080280352513593e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7669754430035079778899690805712757914228e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7868284206502008426735684962391659590421e+00) }}, 
+      {{ SC_(7.0967316627502441406250000000000000000000e-02), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9296596268255065120318013069663032851660e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6142511249477111436028994325389636485695e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8300703414965419017850162711463939521946e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(1.3547698974609375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8876419911763453198544886329227025291395e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(2.2103401184082031250000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.3907662804047941258554096959060763702761e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(3.0816703796386718750000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.8113174407654074860729382447994368211200e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(5.4722045898437500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7277784271084876964968576141737540439312e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(6.3235916137695312500000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.0036218125109206017859810013375583937270e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(8.1472351074218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5382223949236581225935327128582774658740e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(8.3500854492187500000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.5938333647678231692477210943755621470342e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(9.0579193115234375000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.7828090688793488310139351165826986881465e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.8026142878910746995615396223041876003151e+00) }}, 
+      {{ SC_(2.3822396993637084960937500000000000000000e-01), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(4.9451111903433933516471809299034265275831e+00) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(9.7540397644042968750000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.6514674682988996035522193957157117558412e+00) }}, 
+      {{ SC_(4.5875215530395507812500000000000000000000e-01), SC_(1.2698680877685546875000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.8645967774280726782161050734821676166337e+00) }}, 
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+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.1337585449218750000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7839227240213837580774215032300187074292e+01) }}, 
+      {{ SC_(3.7932656250000000000000000000000000000000e+04), SC_(9.6886779785156250000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(9.7863385626763089478205960752617591749891e+01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rg_xyy.ipp b/src/boost/libs/math/test/ellint_rg_xyy.ipp
new file mode 100644
index 000000000..286ede457
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rg_xyy.ipp
@@ -0,0 +1,6642 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 6630> ellint_rg_xyy = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148566284241e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.6026620002037697365156285938167113855944e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3244098110854226669217201043773494498690e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.9253473601954463687210857075529959946329e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6229848006950593437062903414505592799414e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3824897600473574907856771295522229878549e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.4614570528707957976567012457474009791245e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.7297545688990165059457610610768639332956e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.7578689484636630529539692231780634314724e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.9601285830491756080964906621731853949620e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5197897608417201911304511214148566284241e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9580765006255651058145144123690888937593e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.6026620002037697365156285938167113855944e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0882519098087399784325434880122573322842e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.3244098110854226669217201043773494498690e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.2219707200138981171289989688823753783906e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.3980121253550848455436022016469058470638e-33), SC_(3.9253473601954463687210857075529959946329e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1659212147890511438450762374816127151189e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(5.6229848006950593437062903414505592799414e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.8325638705553330715074219699177009387259e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.3824897600473574907856771295522229878549e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0025591470888430265074894566000258812133e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.4614570528707957976567012457474009791245e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0149633004392424158290760725424032433406e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.7297545688990165059457610610768639332956e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0571073757057748147627327614212941718149e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.7578689484636630529539692231780634314724e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0615235721208012448424130985071863674768e+01) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.3980121253550848455436022016469058470638e-33), SC_(6.9601285830491756080964906621731853949620e+00) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0932944412273813602607862505109234576766e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148580085170e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.6026620002037697365156285938167127228357e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3244098110854226669217201043773505032569e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.9253473601954463687210857075529968904755e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6229848006950593437062903414505599109361e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3824897600473574907856771295522235455065e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.4614570528707957976567012457474015301281e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.7297545688990165059457610610768644628633e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.7578689484636630529539692231780639588912e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.9601285830491756080964906621731859074264e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5197897608417201911304511214148580085170e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9580765006255651058145144123690889211467e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.6026620002037697365156285938167127228357e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0882519098087399784325434880122573587995e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.3244098110854226669217201043773505032569e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.2219707200138981171289989688823753991493e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.7494794261211793309535608228238390754549e-33), SC_(3.9253473601954463687210857075529968904755e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1659212147890511438450762374816127326996e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(5.6229848006950593437062903414505599109361e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(8.8325638705553330715074219699177009509988e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.3824897600473574907856771295522235455065e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.0025591470888430265074894566000258822945e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.4614570528707957976567012457474015301281e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.0149633004392424158290760725424032444087e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.7297545688990165059457610610768644628633e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.0571073757057748147627327614212941728403e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.7578689484636630529539692231780639588912e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.0615235721208012448424130985071863684980e+01) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7494794261211793309535608228238390754549e-33), SC_(6.9601285830491756080964906621731859074264e+00) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0932944412273813602607862505109234586682e+01) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5197897608417201911304511214148740285701e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.6026620002037697365156285938167282456049e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.3244098110854226669217201043773627318387e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.9253473601954463687210857075530072905990e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6229848006950593437062903414505672370406e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(6.3824897600473574907856771295522300202795e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.4614570528707957976567012457474079277328e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.7297545688990165059457610610768706116440e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.7578689484636630529539692231780700827273e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.9601285830491756080964906621731918576729e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5197897608417201911304511214148740285701e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.9580765006255651058145144123690892424383e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.6026620002037697365156285938167282456049e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.0882519098087399784325434880122576698608e+00) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.8726742677921440789517852801186900989207e-33), SC_(3.3244098110854226669217201043773627318387e+00) }}, 
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+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7961988092527235108682319995356394512858e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849061568799e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.7961988092527235108682319995374581870339e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849460268053e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.7961988092527235108682319995376601139971e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849504616787e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.7961988092527235108682319995383641988941e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849659368981e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.7961988092527235108682319995384395896850e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849675949550e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.7961988092527235108682319995389909656803e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.8214624917675452573079554773849797270392e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.8214624917675452573079554773847956684096e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.8214624917675452573079554773847975245996e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.8214624917675452573079554773848162297473e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.8214624917675452573079554773848352794533e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.8214624917675452573079554773849061568799e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.8214624917675452573079554773849460268053e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.8214624917675452573079554773849504616787e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.8214624917675452573079554773849659368981e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.8214624917675452573079554773849675949550e+16) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.8214624917675452573079554773849797270392e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.1696258396168112414049115446750907085131e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283556176965e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.1696258396168112414049115446751628454959e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283571544067e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(2.1696258396168112414049115446758868577546e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283726401017e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(2.1696258396168112414049115446766201884698e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635283884110511e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.1696258396168112414049115446793277759952e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284470893480e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(2.1696258396168112414049115446808414165515e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284800970267e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.1696258396168112414049115446810094716621e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284837685880e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.1696258396168112414049115446815954534874e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284965802767e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.1696258396168112414049115446816581984455e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635284979529556e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.1696258396168112414049115446821170893771e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8829105135731812542623926420766720000000e+33), SC_(3.4080402993893805907426551635285079969156e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.5397361755371093750000000000000000000000e+01), SC_(3.4080402993893805907426551635283556176965e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(2.7095397949218750000000000000000000000000e+01), SC_(3.4080402993893805907426551635283571544067e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(4.4206802368164062500000000000000000000000e+01), SC_(3.4080402993893805907426551635283726401017e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.4080402993893805907426551635283884110511e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2647183227539062500000000000000000000000e+02), SC_(3.4080402993893805907426551635284470893480e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6294470214843750000000000000000000000000e+02), SC_(3.4080402993893805907426551635284800970267e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.6700170898437500000000000000000000000000e+02), SC_(3.4080402993893805907426551635284837685880e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.4080402993893805907426551635284965802767e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.4080402993893805907426551635284979529556e+16) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.4080402993893805907426551635285079969156e+16) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_data.ipp b/src/boost/libs/math/test/ellint_rj_data.ipp
new file mode 100644
index 000000000..232b4a8e7
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_data.ipp
@@ -0,0 +1,814 @@
+//  Copyright (c) 2006 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data for RF, each row contains in order:
+//
+// x, y, z, p, RF(x, y, z, p)
+//
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 801> ellint_rj_data = {{
+      {{ SC_(0.17778719640226356167347852945229440308832650104108e-30), SC_(0.140657017848070144e19), SC_(0.1004598712921142578125e2), SC_(-0.482979822802320768460049293935298919677734375e-9), SC_(-0.25179478604244669733973586875090503552089558764187e-9) }}, 
+      {{ SC_(0.17971096343704528451751984491965084147481741634467e-30), SC_(0.89101844176293009628514463216220065078232437372208e-17), SC_(0.83764338663550372334498751058362691151424505491344e-28), SC_(0.25525904358368192101317869568e29), SC_(0.55264196567924337745014728862252651162552511364961e-18) }}, 
+      {{ SC_(0.3374483874642825322028299383742755000492569610633e-30), SC_(0.46577155087788907954176e23), SC_(0.46983051300048828125e0), SC_(-0.4337557424349824941600672900676727294921875e-8), SC_(-0.29586494691174345632763961304004697052773087913144e-10) }}, 
+      {{ SC_(0.34628584803331255547073953716003532083475191421235e-30), SC_(0.303861990424576e15), SC_(0.4400977e7), SC_(0.8120083456e10), SC_(0.94406118682435306969091503176397574982473232273954e-16) }}, 
+      {{ SC_(0.52529654597568598687401224634973212611437919511155e-30), SC_(0.58548273201185353977823232e26), SC_(0.20248201901919065867629932142790494253858923912048e-14), SC_(-0.18734671312196414516097698394344282521492941247926e-27), SC_(0.33644488398603828475913952425044358424278852139661e8) }}, 
+      {{ SC_(0.62221619626030569058053553009209074892000950850727e-30), SC_(0.343400804652490021666816e24), SC_(0.67300522327423095703125e0), SC_(-0.27625999903489739661921475999406538903713226318359e-12), SC_(-0.75889847310956721783906856673041055044273454295232e-11) }}, 
+      {{ SC_(0.62687453931329231730011467674071804187172354186889e-30), SC_(0.26256847716031594952568184453411959111690521240234e-12), SC_(0.1063940752263547436662784e25), SC_(-0.136451337486336e15), SC_(-0.67037231980991720071044018087634320636670369191284e-24) }}, 
+      {{ SC_(0.68459855298386769923242872813539959368599538368623e-30), SC_(0.3576658041416457175462348437019377323527317041928e-28), SC_(0.182191292416e12), SC_(-0.363291968e9), SC_(-0.83523497967218414236437029496187282518142685409801e-12) }}, 
+      {{ SC_(0.79319377739814275716610132815898742724164603635128e-30), SC_(0.149536081295309486449696123600006103515625e-7), SC_(0.110968975e7), SC_(0.39225603641135470576542739402404764287313199133678e-22), SC_(0.58404081910170394697384547096361115025170471880191e13) }}, 
+      {{ SC_(0.89048248588914662625862647642457234630028429798521e-30), SC_(0.19709305012440588607850390271996382609153184795395e-27), SC_(0.11493865037410894201880001018568858790897452128896e-30), SC_(-0.12642370874130226532372489600675180554389953613281e-11), SC_(-0.63945430527093703240104260994490070888470387853874e27) }}, 
+      {{ SC_(0.91680349711592282765605796247359202706042027867974e-30), SC_(0.734585367784587264e18), SC_(0.1052182232419898336993917357499253478604839479385e-26), SC_(0.2412866171048483705123448575434206360597333418383e-23), SC_(0.65770139664720747088672501472576668594088104855097e16) }}, 
+      {{ SC_(0.10737441240523986959769665275538259586246072191374e-29), SC_(0.17000503652400689169610359385842457413673400878906e-11), SC_(0.18877310806851385273422393249673449514610540367343e-24), SC_(-0.11655765639250777695895033508093171243654281372297e-28), SC_(0.43166762266635358600263434023771743134211282555865e33) }}, 
+      {{ SC_(0.11714106834475308811660531464919355963339235126279e-29), SC_(0.24252292633056640625e2), SC_(0.367521736353615183872e22), SC_(-0.4790649536162908709687890753434018342726830042011e-21), SC_(0.22701967082264264796089141494292880179559115582815e-4) }}, 
+      {{ SC_(0.15170719443124775223923085751802832491502232570833e-29), SC_(0.5680430348320442135445773601531982421875e-8), SC_(0.264763527397376e15), SC_(0.13735858601648942567408084869384765625e-5), SC_(0.46218215900161368547332976532325866494807961652724e0) }}, 
+      {{ SC_(0.16414311592283418833973460759110207528131746805707e-29), SC_(0.2019777626058022108969416021903358834932440402099e-21), SC_(0.2589416226816e13), SC_(-0.8526492879801228497171905473805963993072509765625e-11), SC_(-0.28262895694754696636159676198309944171160827781306e7) }}, 
+      {{ SC_(0.18514118780253326139548161460302589871739700953216e-29), SC_(0.386711545288562774658203125e-1), SC_(0.23784641790813854100861135520972311496734619140625e-12), SC_(-0.1573566764023808e16), SC_(-0.13857417194455984598251280402623707809865243033107e-12) }}, 
+      {{ SC_(0.27003399803360749163257433233715641043057849874222e-29), SC_(0.4438962912167515363689288870188763384827534963506e-23), SC_(0.75457567458852864e17), SC_(-0.11436019672743120284552631460428528953343629837036e-13), SC_(-0.11008238028815716178378898314905171879133537621566e8) }}, 
+      {{ SC_(0.27604985838665253543615615843832173935883006238474e-29), SC_(0.25638719488e11), SC_(0.441928942759635320832e22), SC_(0.880926163517870008945465087890625e-4), SC_(0.47167946924686267794681000601586718795332807589313e-13) }}, 
+      {{ SC_(0.27727679237026680624547360688641283050751007274628e-29), SC_(0.574552528560161590576171875e-1), SC_(0.599083490669727325439453125e-1), SC_(0.326562033434624e15), SC_(0.59574348217068678836770193704601663452299198297862e-13) }}, 
+      {{ SC_(0.30817991819236751066216748295709401603164490197841e-29), SC_(0.20504934709643312615865232140244245329085970297456e-17), SC_(0.73745083851314552802870354829278820574245401076041e-19), SC_(0.2719417170737870037555694580078125e-4), SC_(0.23633334716008312781302835692937431199979037634428e15) }}, 
+      {{ SC_(0.40116172822941619726509594554900420026234064360422e-29), SC_(0.273342628705129491070976e24), SC_(0.13233334255616e14), SC_(-0.1860324374547417392022907733917236328125e-6), SC_(-0.41662640839102650251726859519844649467351936743988e-24) }}, 
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+      {{ SC_(0.2582930687253756671688704e25), SC_(0.98294646430729628238873174517209463374456390738487e-16), SC_(0.523289710174790201335781603120267391204833984375e-10), SC_(0.11728855386916592351553845219314098358154296875e-9), SC_(0.20504758549526996820756527033295801374195506995035e-1) }}, 
+      {{ SC_(0.2827151743731615852920832e25), SC_(0.39566695676371483377659066249520947167184203863144e-17), SC_(0.14022327979649670404142971477700133076105259988253e-20), SC_(-0.1178793127110111527144908905029296875e-5), SC_(-0.21015559519097754189923254744815147163212563084929e-4) }}, 
+      {{ SC_(0.3658255674684168267104256e25), SC_(0.347205125e7), SC_(0.952333915392338525421568e25), SC_(0.493732747180191557510859063296e30), SC_(0.38595612990567469629333401973433790503717814345531e-41) }}, 
+      {{ SC_(0.80777571722833747247104e25), SC_(0.55398272e10), SC_(0.341833367802954728115011584e27), SC_(0.4525246741929405710336e22), SC_(0.13127412651201261844673654075052287525110627430968e-35) }}, 
+      {{ SC_(0.18820064668587267094216704e26), SC_(0.302210201308383830109960399568080902099609375e-9), SC_(0.33895318467300131244893458519885746926814107382597e-21), SC_(-0.220309690490694265463389456272125244140625e-7), SC_(-0.8857373512501906409555193551969219570566044570186e-4) }}, 
+      {{ SC_(0.21080026013603626963959808e26), SC_(0.46500309524870072390394842225085081377500273447367e-20), SC_(0.111704088747501373291015625e0), SC_(-0.2204564333716972336895229952e28), SC_(-0.93741877431301314282215548916844170971630819751383e-38) }}, 
+      {{ SC_(0.24925849334950778558742528e26), SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.446171086848e12), SC_(0.611424244567615460255183279514312744140625e-10), SC_(0.18071495322856456358853957065938890778533770500459e-12) }}, 
+      {{ SC_(0.25957591871894418276483072e26), SC_(0.33820226466031909703805272138232851375505561009049e-17), SC_(0.407093465328216552734375e-1), SC_(-0.74596487672624371624736927532950403474387712776661e-17), SC_(0.55899053627950401691741891899760992409332510195374e-3) }}, 
+      {{ SC_(0.34176589422481911700258816e26), SC_(0.2594374745967797935009002685546875e-4), SC_(0.32639631015324299667668128677178174257278442382813e-11), SC_(-0.39206009507215186830735710722877728969003926356995e-26), SC_(0.99656432592835780571086861488747564238726543822412e-3) }}, 
+      {{ SC_(0.52899930894361691974270976e26), SC_(0.403085186917451210319995880126953125e-5), SC_(0.6825940447919154921472e22), SC_(-0.14375419641822445568e20), SC_(-0.60363232208546199946445713316543948296321482911499e-34) }}, 
+      {{ SC_(0.537890916288306029264896e26), SC_(0.12782816893625960774148491808127646127292821945365e-26), SC_(0.573235595703125e4), SC_(-0.12544778125e6), SC_(-0.71657596009498530548482712636575535494211682114149e-17) }}, 
+      {{ SC_(0.8433542407536772363845632e26), SC_(0.42796459072778090240040672609944646251280316040511e-25), SC_(0.22687100431950362857652078512823989875357710843673e-19), SC_(0.11294291974004753756629686802523751532056905944046e-20), SC_(0.88701138982547221081855811970715058644159621057193e8) }}, 
+      {{ SC_(0.139104185388464893432168448e27), SC_(0.231760859375e5), SC_(0.43720544762662627569227424828568473458290100097656e-12), SC_(0.2374636544e10), SC_(0.6921609089013412373280402427506383594598908716228e-21) }}, 
+      {{ SC_(0.156845304607866907279753216e27), SC_(0.976198280113749206066131591796875e-4), SC_(0.10936154937744140625e3), SC_(-0.41998498541662710058071359488e30), SC_(-0.16652502911178853185876697517315755871318331105826e-40) }}, 
+      {{ SC_(0.157999646511767429891227648e27), SC_(0.69354773968300552570460372409157516301196394394729e-27), SC_(0.40459505460468958310676912404346694529522210359573e-15), SC_(0.2743745536e11), SC_(0.26472063332119141767164566279621494424995662755822e-21) }}, 
+      {{ SC_(0.169200325045883132536946688e27), SC_(0.12987603416915550095353577472e30), SC_(0.20901618155057581480384722985230161462766318436479e-21), SC_(-0.8212174501576704e16), SC_(-0.49333829304862756761854981623471626931832589089802e-40) }}, 
+      {{ SC_(0.18019738841891322915192832e27), SC_(0.1161228928e10), SC_(0.18421718410258806513944641963201765549884569850292e-21), SC_(-0.39847982078741191696921488112504566858618204605591e-21), SC_(0.17283122168253610043193906220733507044384388549389e-6) }}, 
+      {{ SC_(0.240541779585381516324110336e27), SC_(0.2905063139374032543660320015987963415682315826416e-13), SC_(0.36726935534616426233006549022576515777221278780118e-24), SC_(0.5391843328e12), SC_(0.10685173357205110804114321359031375712546961715976e-22) }}, 
+      {{ SC_(0.26160499139176195703177216e27), SC_(0.25551566240720070127823149164214555639773607254028e-14), SC_(0.2455513858048e13), SC_(0.76865694789146174443197825024e29), SC_(0.42102041637540574313527997216886696455400412572293e-40) }}, 
+      {{ SC_(0.28423416574930367528566784e27), SC_(0.34055852755898730066519419779069721698760986328125e-11), SC_(0.70640065850067723747656760044083495790872423425455e-25), SC_(0.10020495667270640877824310586985401272386297932826e-18), SC_(0.47817076033607555350752704896344130871965359055178e3) }}, 
+      {{ SC_(0.339603340911883980420153344e27), SC_(0.539351792484352e16), SC_(0.5777183105237782001495361328125e-3), SC_(-0.42759100966109184e17), SC_(-0.63088198011691858070252939500618223753106170783744e-29) }}, 
+      {{ SC_(0.418457674697258348132171776e27), SC_(0.1146871355062355355511214309376e31), SC_(0.4832090820796481536e19), SC_(0.2239617e8), SC_(0.85607629029587105611757975652813867965916905262051e-36) }}, 
+      {{ SC_(0.482905248935018145708507136e27), SC_(0.11712293277443256300383769147321899595226568635553e-17), SC_(0.43801356384862208e17), SC_(0.790541259765625e4), SC_(0.11524019934599608840071663225685934856677773818628e-22) }}, 
+      {{ SC_(0.704943726729360116931362816e27), SC_(0.280859119791213305197045481472e30), SC_(0.9329180732400125083648e22), SC_(-0.263649216e9), SC_(0.35954212306917041544272590413024826280517747178928e-37) }}, 
+      {{ SC_(0.108138576895876428321521664e28), SC_(0.121629664e9), SC_(0.837203197023246876672e21), SC_(-0.34636652e8), SC_(0.3495258670475377943600732910414924000928562264996e-27) }}, 
+      {{ SC_(0.1583264268936843798561947648e28), SC_(0.74033955225251559624163877337821304536191746592522e-16), SC_(0.106813757838608580641448497772216796875e-8), SC_(-0.95081157982349395751953125e-1), SC_(-0.78067064686933324405048609338056968328732594995288e-11) }}, 
+      {{ SC_(0.1903848463306411019979456512e28), SC_(0.41524315625e6), SC_(0.9603179872256e13), SC_(-0.33670611871566835660019023634959012269973754882813e-11), SC_(0.7013450981963919041695196214483817396500069641397e-21) }}, 
+      {{ SC_(0.1982984109938909458353618944e28), SC_(0.57559058523154999707763811983890536611676287215116e-28), SC_(0.18954326454529174714382811136e29), SC_(-0.71769535185590157312e20), SC_(-0.12181377246911709254263035815242321871232107633234e-40) }}, 
+      {{ SC_(0.222246520174005267545980928e28), SC_(0.24442432318827852328354708908776139753005196553204e-21), SC_(0.1358339280940150480054651703124000152939184472259e-28), SC_(0.1929096832275390625e3), SC_(0.93043265128569252665328167060574294046977922061101e-14) }}, 
+      {{ SC_(0.228460490382675067103346688e28), SC_(0.1059283606822132483824577235054573273384526110874e-22), SC_(0.7495925e5), SC_(0.18313684375e6), SC_(0.45341966440085175811927852865624259192364499711347e-18) }}, 
+      {{ SC_(0.2295552972647520995079356416e28), SC_(0.8116024169921875e3), SC_(0.406449488413065216e18), SC_(0.1210972363736206571586395807697363987873694080033e-25), SC_(0.11680274510678021465134575907548276246526274420346e-21) }}, 
+      {{ SC_(0.2314228013625886776106156032e28), SC_(0.14528588632178353334811760078082443214952945709229e-14), SC_(0.54849175282200488156594176e26), SC_(0.5798830216008354909718036651611328125e-7), SC_(0.54921077785694851775062771637993351556303331064265e-22) }}, 
+      {{ SC_(0.3699745104553947847137951744e28), SC_(0.34977231725807742732787449097997501262533496350712e-30), SC_(0.120393285632e12), SC_(0.954876e8), SC_(0.22448886572410705870109454870839959584090293621426e-22) }}, 
+      {{ SC_(0.3838393489343095451259240448e28), SC_(0.103355013339542251670339584e27), SC_(0.98872197265625e4), SC_(0.57959118635033995205500453873348476463434053584933e-17), SC_(0.12041009164150948897691954156849133755234146202352e-26) }}, 
+      {{ SC_(0.5654821947040481368071995392e28), SC_(0.47785181184e14), SC_(0.40587309056e11), SC_(-0.37375441752374172210693359375e-3), SC_(0.48193946518009700351168874164523132159351681991985e-24) }}, 
+      {{ SC_(0.6775909979186304065686470656e28), SC_(0.8062150656e10), SC_(0.348559752335036776448e21), SC_(-0.8760775059456393216e19), SC_(-0.10282120977675613763363596767906302856864535909313e-33) }}, 
+      {{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.86986000872677090266227306614155168063007295131683e-15), SC_(-0.635832114613491743743541248e28), SC_(-0.24621535270065684155147722097385679585890775903462e-40) }}, 
+      {{ SC_(0.9551179238333844741448269824e28), SC_(0.7608356306944e13), SC_(0.5558017730712890625e1), SC_(0.41698188855306519252274162436284849815711030154158e-27), SC_(0.15612097421897443717100059952264109969304027375674e-18) }}, 
+      {{ SC_(0.10531197197128523245005307904e29), SC_(0.12791422998544384e17), SC_(0.660148875e6), SC_(0.33461133902897741824e20), SC_(0.40438261456319118306216960428142150932574137900723e-32) }}, 
+      {{ SC_(0.12457122281020492087329554432e29), SC_(0.7671683806842035634176e22), SC_(0.232967583002618994214572012424468994140625e-7), SC_(-0.24723743603662803294991612279574155763839371502399e-16), SC_(0.22166650205242874655754051451333910848954470186131e-19) }}, 
+      {{ SC_(0.15703756321543097476213374976e29), SC_(0.3366045475006103515625e1), SC_(0.15573768317699432373046875e0), SC_(0.6116611973854022065889826509770647605297401467399e-30), SC_(0.11358697102558723782406276684855724930886990175612e-11) }}, 
+      {{ SC_(0.16696330462519916007687979008e29), SC_(0.1930155264e10), SC_(0.63629325734928786425753617162284769825930652586976e-20), SC_(0.12920223388671875e4), SC_(0.2308199605723093565210069675443489489234691184839e-19) }}, 
+      {{ SC_(0.17764058704888363507915948032e29), SC_(0.79766535274496e14), SC_(0.39754495142903122994659328e26), SC_(-0.14620739417686359499606065152e29), SC_(-0.57422745573841589040276380059216580638301950767727e-41) }}, 
+      {{ SC_(0.31748377778186208813596540928e29), SC_(0.1675580742552227722297344e25), SC_(0.42063803333440515664792681748951699777781240829747e-29), SC_(0.429656843192433391960064e24), SC_(0.23926759355712048744385470425532188141681573695193e-37) }}, 
+      {{ SC_(0.3649235853244794839343562752e29), SC_(0.12279541379302346893022276017590817959179716467588e-21), SC_(0.40871462586513926278727773609006357347084303910378e-20), SC_(0.87854579712e12), SC_(0.67492676307713588597128960931053684956956100221764e-24) }}, 
+      {{ SC_(0.36533776047685956616782348288e29), SC_(0.82729172633504849398988767461560200899839401245117e-13), SC_(0.8131970819162112e17), SC_(-0.1192539684780058450996875762939453125e-5), SC_(0.13274939233001620432487252088510733166654023704738e-22) }}, 
+      {{ SC_(0.63201895715548519849695117312e29), SC_(0.659935944174255143387136e24), SC_(0.235792458057403564453125e0), SC_(-0.3216055136681984e16), SC_(-0.18080738259064818364416597919348501783180949800115e-37) }}, 
+      {{ SC_(0.6372859541648241998931427328e29), SC_(0.242449971847236156463623046875e-2), SC_(0.27421585230570622547519032963236895739100873470306e-15), SC_(-0.303756275177001953125e2), SC_(-0.2116865223447144892600764830285901409868915835424e-14) }}, 
+      {{ SC_(0.66201188727981103266043789312e29), SC_(0.733696256e9), SC_(0.350810660994547712e18), SC_(-0.2088726080984315558453090488910675048828125e-8), SC_(0.1518448361705534157919668106359692557429828526005e-25) }}, 
+      {{ SC_(0.67397727780311165361354440704e29), SC_(0.2701057007003141150867456e25), SC_(0.32037437278282544783625240825131186284124851226807e-14), SC_(-0.14639644477145580259147550350462552160024642944336e-12), SC_(0.26795251743869315367874488984214665026594244506073e-20) }}, 
+      {{ SC_(0.74469943825056746033385570304e29), SC_(0.25381451890023692523876122624e29), SC_(0.353061568e9), SC_(0.3667164349963059066794812679290771484375e-7), SC_(0.70123509979767730264405232269736730186653622643256e-31) }}, 
+      {{ SC_(0.83503273667541398709050802176e29), SC_(0.64436475218886656e17), SC_(0.1095445250048e15), SC_(-0.27828965472666412863213985278623730405131117028594e-26), SC_(0.18517871294794141505416209832668190646081405513643e-27) }}, 
+      {{ SC_(0.154135841378084202520367857664e30), SC_(0.11531852972032e14), SC_(0.28385876039913134187331286456979634325037409325887e-20), SC_(0.64800658718743622607072501400418684802673396916362e-20), SC_(0.31602768754325763081308012038930598073631539942634e-10) }}, 
+      {{ SC_(0.205367992548434895604069433344e30), SC_(0.18794387499923534284127922718010683666989280027337e-18), SC_(0.644523545719734272e18), SC_(0.21339260514789921879362708770529188928577468686854e-21), SC_(0.77709407338464422363910627214199294770600429104781e-13) }}, 
+      {{ SC_(0.288644753185258968910800093184e30), SC_(0.3712882e7), SC_(0.67304340158588786789888913154097233038086756096163e-21), SC_(0.228604896e9), SC_(0.6770315462223105083152407343178427212980572931536e-22) }}, 
+      {{ SC_(0.32259278802051668555153276928e30), SC_(0.6638677978515625e3), SC_(0.11419584692467545095073688798947841860353946685791e-13), SC_(-0.914323027245700359344482421875e-4), SC_(-0.77167253067005495411786081658186819275011987939055e-17) }}, 
+      {{ SC_(0.593089902380358100434877939712e30), SC_(0.6506956228718475954142519412926048971712589263916e-14), SC_(0.61562469482421875e2), SC_(0.2321270964224e13), SC_(0.21597485998566959444034291971333852159947917872266e-25) }}, 
+      {{ SC_(0.653810657301073942950006751232e30), SC_(0.3684862263296e13), SC_(0.1658748045099008e17), SC_(-0.2043063195140096e16), SC_(-0.17992368419735800205714333900182443278381089486339e-30) }}, 
+      {{ SC_(0.90054999923278052824918786048e30), SC_(0.5752800417419362304e19), SC_(0.23091611800228823082094034944e29), SC_(0.437946654856204986572265625e-1), SC_(0.20691242362670718543784273355620160692479713280658e-36) }}, 
+      {{ SC_(0.1138966491359350198995104301056e31), SC_(0.16628866613248e14), SC_(0.83722254681922700089433337836521478725337885862245e-21), SC_(0.351686295552e12), SC_(0.16740484414913831836071532979123766364786418157375e-26) }}, 
+      {{ SC_(0.1155650423248669340749283721216e31), SC_(0.55448366981994133391117331177699867339470074512064e-18), SC_(0.120595209390657634304e22), SC_(-0.31079530179668142456832e23), SC_(-0.20503537182647658707141982907149513184896420806907e-36) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/ellint_rj_e2.ipp b/src/boost/libs/math/test/ellint_rj_e2.ipp
new file mode 100644
index 000000000..5e1135a09
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_e2.ipp
@@ -0,0 +1,2812 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 2800> ellint_rj_e2 = {{
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(7.8129868340976131828973869394111298217688e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.5137965761452783346643767774812644148279e-03) }}, 
+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.5154899930654010329380039597788177727381e-03) }}, 
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+      {{ SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(2.6239743764192655049030411741414227319928e-03) }}, 
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+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.0195198233587599243778531900497479043039e-03) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(9.9319120610858443503722160071862765457699e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(8.0504388943047209218732607543933829564921e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.8920980661471248286324345142467723875190e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(4.7442415294667130231423392952328554908896e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.1071398387256842865934836233744006647999e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.0486307503803639432424855726914494372786e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.8592117136015892245495036520122760194302e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.8401615240858628162308712164025395049690e-04) }}, 
+      {{ SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7073042084293302829299809458292405793441e-04) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_e3.ipp b/src/boost/libs/math/test/ellint_rj_e3.ipp
new file mode 100644
index 000000000..0f7804ebb
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_e3.ipp
@@ -0,0 +1,2222 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 2210> ellint_rj_e3 = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(6.3184005715838649623578654586095480152918e-13) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.9224343414647430312433258854669870726182e-13) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(9.8481698870830089988969463050504592196018e-14) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(9.6089281806067606000817662782024227232938e-14) }}, 
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(8.8580341885591274716342682325964382390155e-14) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(5.6481757907586426628962478337260164675584e-13) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.2942117060858409081054106653191869391825e-13) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(8.8035245802019375368401307301233077711685e-14) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(8.5896604544078048793184620187226129944948e-14) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(7.9184175948803982251783673244132690590808e-14) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(3.0827951584278495148641129118302961787193e-13) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.8896002567620689016137651229245636545848e-13) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(4.8049961542188162567582021383014665072683e-14) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(4.6882683263352931743957675552205541985626e-14) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(4.3219015002768547862791248072269674388520e-14) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.2215103364157740098561264865556331120953e-13) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.0822910730728815481986360712896282587580e-13) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(3.4625552702887988141418898477098537646577e-14) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(3.3784393745304666987678156816128166730572e-14) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(3.1144297179745884505342342782290825705868e-14) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.0044398919926688160387745675894692755430e-13) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.8788241608371876981069795139571475644409e-13) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(3.1242185994930960246441832131679171316733e-14) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(3.0483219204433245687298830150297998362500e-14) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.8101094400433037667015158496548779356013e-14) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.0723316422806715970632559436525080063044e-13) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.0051299647325692665234868782292681410346e-13) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.6713888378601999559016546507729368896705e-14) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.6307857692352874879694467092250329272991e-14) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.5033472856271988919385611919599943386327e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(7.6916985414545987848610041428262996914529e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(7.2096694519457870326642481491695902544674e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.1988659645471806984276357228582455083799e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.1697418996210916076659558153976715665702e-14) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.0783318954913282773010693484564050766550e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(6.8083757158682737771797936394192483655515e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(6.3817033586943209693332276544969993525605e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.0611869245281704328641132718289991476366e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.0354074981347047868454240851762292604633e-14) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(9.5449511591505474010104489408120588199743e-15) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(4.1637491870221902809164620491377498434589e-14) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(3.9028122536847322872372958405370349121181e-14) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(6.4898242674600304595579820075064814406433e-15) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(6.3321668904772709206846558630841516452126e-15) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(5.8373368755856326829463241578931791276411e-15) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(3.2888632371443612096445982012208208417601e-14) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(3.0827543077348768562015415623617977920457e-14) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(5.1261839966978003673052808078185734411231e-15) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(5.0016535487929794196355239797264064115145e-15) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(4.6107970943059592859234697074997223513769e-15) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.5389383439202753185984817913859362441873e-14) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.3798262659256720053184534235338727037113e-14) }}, 
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+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.4223209103236261949259257319641126324717e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.7170865028319826966237233253863667125819e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.6975379702105909898237524980571441823928e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.1660859285975575474945504117982223659692e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.1590161167812941715628939804313659177184e-47) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.1356857658983980981556340601270684040531e-47) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(5.9647019510807712225971230425059800234255e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(5.9046864750029203443842207412115483715888e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(4.2588036231236855787244952483717401647401e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(4.2366196631512055003090057549843827261180e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(4.1633320045481990279241755417251929377308e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.2869630483381444337862446629260753056078e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.2661648145470904193975250273020275168699e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.6931732686884129216391300898060038776338e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.6853956799410394656981241623898384538555e-48) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.6596857351898397231469143629373415540994e-48) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.2698681479707212609747314278400000000000e+29), SC_(8.6516979939755994049538220415711954645746e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(1.3547698749143007791994948812800000000000e+29), SC_(8.5800305648398144230766500883447530602905e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(8.1472351959505954462009760153600000000000e+29), SC_(6.6002573633540705027658022864934776350157e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(8.3500838815382831119978620518400000000000e+29), SC_(6.5732706794385645573670907634925619254571e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(9.0579190158662956035071383961600000000000e+29), SC_(6.4840289058468934876042505541175325370369e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(2.7870695688121189629444250088480351189652e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(2.7661553223927966841871366057719924275814e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(2.1874165412405911496421878949764975039195e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(2.1795059759554870337885712312815313370225e-49) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(2.1533402051313588945684740905624564261047e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2698681479707212609747314278400000000000e+29), SC_(1.6507378118804737500150294412532914150181e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.3547698749143007791994948812800000000000e+29), SC_(1.6388664964446100418862556062655646230303e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(8.1472351959505954462009760153600000000000e+29), SC_(1.3102056623975094970040092779332695044680e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(8.3500838815382831119978620518400000000000e+29), SC_(1.3057098322508975331550689745739048726777e-49) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(9.0579190158662956035071383961600000000000e+29), SC_(1.2908379243344765517293923319411374813457e-49) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_e4.ipp b/src/boost/libs/math/test/ellint_rj_e4.ipp
new file mode 100644
index 000000000..0091621c1
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_e4.ipp
@@ -0,0 +1,233 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 221> ellint_rj_e4 = {{
+      {{ SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.3980121253550848455436022016469058470638e-33), SC_(1.9130820318496712875229216324832408264587e+49) }}, 
+      {{ SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.7494794261211793309535608228238390754549e-33), SC_(1.3665852869779972929460567093420455622924e+49) }}, 
+      {{ SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(5.8726742677921440789517852801186900989207e-33), SC_(2.2220106206558165375569223515909546363392e+48) }}, 
+      {{ SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(1.1309113765786506096540062665750175659960e-32), SC_(8.3149021076451585903933915726002934423658e+47) }}, 
+      {{ SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(1.3891181146915726390794029968681816070943e-32), SC_(6.1078904340891008746809572947309925671571e+47) }}, 
+      {{ SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(4.8536338069604874547155326932387107373984e-32), SC_(9.3518921475599483128684188501191135541069e+46) }}, 
+      {{ SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(9.4336713037670874919513419574389437932846e-32), SC_(3.4512696301971283630153140671266643699729e+46) }}, 
+      {{ SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(1.2040325324738106751721983353783124694865e-31), SC_(2.3935509016064272675775978191165201415094e+46) }}, 
+      {{ SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(3.2192605509133527499735325052444797920840e-31), SC_(5.4747691124683342305782589643022296522404e+45) }}, 
+      {{ SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(5.1598089430474145704786096554063029578715e-31), SC_(2.6980473592334734518377012858136761011516e+45) }}, 
+      {{ SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(8.6580669655578129845734803403304892059082e-31), SC_(1.2412766596483853421146471461184075439986e+45) }}, 
+      {{ SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.4410831025899022881322276426055071978088e-30), SC_(2.6219605514593649777370199528413692533610e+44) }}, 
+      {{ SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(4.0342289035474833635882447965222031649226e-30), SC_(1.2341251281163607811506584927348226764697e+44) }}, 
+      {{ SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(7.4997427315795683999931409064612184484767e-30), SC_(4.8688954760627537245343296759816558179510e+43) }}, 
+      {{ SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.9524385645124032915396812389852876697084e-29), SC_(1.1591347721157429088009140561489321101032e+43) }}, 
+      {{ SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(5.0307396633271274021036423836193003824470e-29), SC_(2.8025426768813065775721805427136387158775e+42) }}, 
+      {{ SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(9.8828830280863654554637712926778439923276e-29), SC_(1.0178282889588961387363651548386847505189e+42) }}, 
+      {{ SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(2.0159108358364658025376430240459520615557e-28), SC_(3.4937596204375519072486799492055320404445e+41) }}, 
+      {{ SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(3.9680608719690755813060883143357162268402e-28), SC_(1.2651223007734982870746964468855740797418e+41) }}, 
+      {{ SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(7.9474558416608700456074110588635447509500e-28), SC_(4.4633178395904559777849681755133773342447e+40) }}, 
+      {{ SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(9.3511217333788972162109341828680044038835e-28), SC_(3.4970708727505084948560257863505164190937e+40) }}, 
+      {{ SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(2.7882427361992658143258966170331945402566e-27), SC_(6.7921009289776935903433019753299209745102e+39) }}, 
+      {{ SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(6.3673277743463290223091457894565066834118e-27), SC_(1.9681771693353782306219621812474237186418e+39) }}, 
+      {{ SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(1.2802620846058105842978295818115658417924e-26), SC_(6.9032193629929930170164705563410884882774e+38) }}, 
+      {{ SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.5295786350139981648664921989981478850189e-26), SC_(2.4855798710265426807120743075420126570707e+38) }}, 
+      {{ SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.8689244097271181025975906229169039426616e-26), SC_(2.0578861370673130178626361472849746194080e+38) }}, 
+      {{ SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(7.6792108552998581016945261284770797094792e-26), SC_(4.6992127890309820585050626940997924796295e+37) }}, 
+      {{ SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.8591977352242616487743079115958899226631e-25), SC_(1.2474169112324605441939542720639784402741e+37) }}, 
+      {{ SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(3.7228919776082830648394626760138917268353e-25), SC_(4.4022970877973938695191322726429651928996e+36) }}, 
+      {{ SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(5.3643882618567678488066742377790444354368e-25), SC_(2.5451869904215104897624834594681874453759e+36) }}, 
+      {{ SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(9.4454615474045197976285755041988786463725e-25), SC_(1.0893444459474711024763586414705889445909e+36) }}, 
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+      {{ SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(1.4824715277303808000000000000000000000000e+18), SC_(5.5401364133438695077020587760081212866457e-28) }}, 
+      {{ SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(3.8734002442595205120000000000000000000000e+18), SC_(1.3117813031241628231394820272642234623008e-28) }}, 
+      {{ SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(8.1036557834067640320000000000000000000000e+18), SC_(4.3348943965238912629172876802061223034712e-29) }}, 
+      {{ SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(1.2841886794098147328000000000000000000000e+19), SC_(2.1729850794578639427299792767817563216792e-29) }}, 
+      {{ SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(3.2350587576425381888000000000000000000000e+19), SC_(5.4347145753145946959178277776169309459060e-30) }}, 
+      {{ SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(5.7611295478532538368000000000000000000000e+19), SC_(2.2868545243036362403546021192045469279848e-30) }}, 
+      {{ SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(1.0185889793465699532800000000000000000000e+20), SC_(9.7275067423393828543599556836992248128789e-31) }}, 
+      {{ SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(1.7827935411160009932800000000000000000000e+20), SC_(4.2009587968471488750572362027061472656058e-31) }}, 
+      {{ SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(4.6273923221278425088000000000000000000000e+20), SC_(1.0046054213931135883644470099263326087106e-31) }}, 
+      {{ SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(9.0160094215120355328000000000000000000000e+20), SC_(3.6938432729639373749450863473476250731635e-32) }}, 
+      {{ SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(1.2701445734077667737600000000000000000000e+21), SC_(2.2091248674270751061752260956354737147220e-32) }}, 
+      {{ SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(3.3155928298666191749120000000000000000000e+21), SC_(5.2379121758362895910185848055946476645437e-33) }}, 
+      {{ SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(4.9771373655898078576640000000000000000000e+21), SC_(2.8479381893321415974223960789148685276211e-33) }}, 
+      {{ SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(1.2776477955669473886208000000000000000000e+22), SC_(6.9244179743696634091696789337235938404876e-34) }}, 
+      {{ SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.8915946875483827732480000000000000000000e+22), SC_(2.0337327051277727008982819400180427993931e-34) }}, 
+      {{ SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.0175170680284052979712000000000000000000e+22), SC_(6.7744494087600150203765673017484711578262e-35) }}, 
+      {{ SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(1.3443007097640605397811200000000000000000e+23), SC_(2.0288753146104063272103101319477436751656e-35) }}, 
+      {{ SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(2.0496508805231257269043200000000000000000e+23), SC_(1.0776560212334060415241952783961381215531e-35) }}, 
+      {{ SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(5.8451880892949689322700800000000000000000e+23), SC_(2.2377020720091407413010659087995982032280e-36) }}, 
+      {{ SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(1.1877492456483867611627520000000000000000e+24), SC_(7.7252555568665586603456786042795749256475e-37) }}, 
+      {{ SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(1.3659727517469077458124800000000000000000e+24), SC_(6.2637864895364561301401520132953130469257e-37) }}, 
+      {{ SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.7912598561413239479992320000000000000000e+24), SC_(2.1443693720668992815087263609302554517038e-37) }}, 
+      {{ SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(7.5863641567366151374110720000000000000000e+24), SC_(4.7857440881650091612417628752981254574601e-38) }}, 
+      {{ SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(1.3490721907030264366759936000000000000000e+25), SC_(2.0181210624874437322755542031848925852443e-38) }}, 
+      {{ SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(2.8422143749589281569505280000000000000000e+25), SC_(6.5995565192110303816586016066095847879993e-39) }}, 
+      {{ SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(5.3668403805728358185041920000000000000000e+25), SC_(2.5434428391334568706163940836113767799054e-39) }}, 
+      {{ SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(7.8292113919495847997865984000000000000000e+25), SC_(1.4435205502650156869693831753504925796075e-39) }}, 
+      {{ SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.6723325902934740461577830400000000000000e+26), SC_(2.2890972193469096777795156856123092483278e-40) }}, 
+      {{ SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(4.1381935158038852363563827200000000000000e+26), SC_(1.1879107327559925906773287960526392067809e-40) }}, 
+      {{ SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(8.5948309609429296171135795200000000000000e+26), SC_(3.9686608830175590814715691622534817404011e-41) }}, 
+      {{ SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.4387120406003935998650613760000000000000e+27), SC_(1.8324797437566406076041039429974310120006e-41) }}, 
+      {{ SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(4.7722405758868522542091468800000000000000e+27), SC_(3.0333079720467397282520192477118791550916e-42) }}, 
+      {{ SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(8.8848657238129553346144501760000000000000e+27), SC_(1.1940532551473316279692357164340213043762e-42) }}, 
+      {{ SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(1.4222615588981551190220210176000000000000e+28), SC_(5.8956377632246711579832955264973200436422e-43) }}, 
+      {{ SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.5971287269650318385179787264000000000000e+28), SC_(2.3892400495228539274598050730404314792108e-43) }}, 
+      {{ SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(7.3788279667987478486078980096000000000000e+28), SC_(4.9890622443442454143628998892754947824020e-44) }}, 
+      {{ SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(1.2110285949621213703269305548800000000000e+29), SC_(2.3728397177512905263928217528665158827501e-44) }}, 
+      {{ SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(2.5675627459944222489782622617600000000000e+29), SC_(7.6863189428009715118983101443511744090196e-45) }}, 
+      {{ SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(3.6940874261654810399932311142400000000000e+29), SC_(4.4538875281292909532958673539665046029890e-45) }}, 
+      {{ SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(7.0959714371010081353141059584000000000000e+29), SC_(1.6729471136328311706955118425734608582646e-45) }}, 
+      {{ SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(2.0307529873257442803568470917120000000000e+30), SC_(3.4555274625386616585934609941429203994493e-46) }}, 
+      {{ SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(3.7318536643073322480964646993920000000000e+30), SC_(1.3871169913566441993441180101040613652334e-46) }}, 
+      {{ SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.4040234014314612931042308259840000000000e+30), SC_(6.1705039497420584674312487188888623304008e-47) }}, 
+      {{ SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.3591440405379759208451461349376000000000e+31), SC_(1.9957299377906691708015705180778289952633e-47) }}, 
+      {{ SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(3.3548706991994435886603137187840000000000e+31), SC_(5.1461959670542379650843010267432936776139e-48) }}, 
+      {{ SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(6.2057760084058088674091939659776000000000e+31), SC_(2.0455300121306774873511328924430576723673e-48) }}, 
+      {{ SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(1.3704533965093724230190214466764800000000e+32), SC_(6.2330927975790268155461535096378223350591e-49) }}, 
+      {{ SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.7845325737156862002881598429593600000000e+32), SC_(2.1521450871007098580247264140643505142883e-49) }}, 
+      {{ SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(5.6730753221070809445480004793139200000000e+32), SC_(7.4006893602204152108633305656949585309562e-50) }}, 
+      {{ SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(1.2905320649443607278078011679703040000000e+33), SC_(2.1569833888237949750965877861010398088413e-50) }}, 
+      {{ SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.8829105135731812542623926420766720000000e+33), SC_(1.2239268982694768381667683394968955347577e-50) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/ellint_rj_zp.ipp b/src/boost/libs/math/test/ellint_rj_zp.ipp
new file mode 100644
index 000000000..169fcb8dd
--- /dev/null
+++ b/src/boost/libs/math/test/ellint_rj_zp.ipp
@@ -0,0 +1,2012 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 2000> ellint_rj_zp = {{
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.4362180043152339637482461583308887968176e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.9501239776125767214996789661250527562833e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(5.0046632786842204680540980640364534822930e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.6048680649777725659801897110521123897589e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.7086889781233703030371896877587213993468e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2984116210194706411391299652340714923736e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2638854007618123030324215106835908806669e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.1556351191004319805996875347482576893372e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.1450436240831572873316445720974561596967e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.0726614626374240498642174005037821336747e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(8.2703859199545360909665676111593795397069e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(7.7955048242365123393101104236957639171426e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.9152501495337206225915273901670603519691e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(3.5443045148905128825389733780199654350646e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.6837676984714023225606665378258084511735e-03) }}, 
+      {{ SC_(1.9508079528808593750000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.2804313753536873066675327954370571606668e-03) }}, 
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+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.5196400838090581773758187986390644433492e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4216823403099912145085729216173142583060e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.1106473245725808977719467088530263204284e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.0798812270920119229064421280201404307641e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.8679335008930632304188030879543262096853e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9780649847234885553092691298034653267405e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8882709452301686447372507140673469723521e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.3139379427112612040973538266320268680572e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(1.0149483937306083284993194721791912263619e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.6011132808647185655830122154790570759528e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.4867018308302287600277493632469640606275e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.3895956931388929338070959058452501840113e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.0812416731091476656895337705778737831458e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.0507387983314501651849210461467643197487e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.8405943500207392170106390643814203360373e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9164363634567006224073434096379604391900e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8298325713130702836427542452011529735095e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2754673087168140300242556499143212423365e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.8647149927562637682551255965955664981902e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.4597832976710783766788597293024020160063e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3781309504110333732828074586935131326338e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2838176289096361865942372272578018232772e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9842587720064166742943883506005079834976e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9546196625707525065259036221051725152140e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7503939231247746832774973152291984195805e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.9101940014404765451844395468677864342963e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.8239118528227733230074757777570955996429e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2715617763587818742000305442472884078287e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.8357632126194273559026064726926590569009e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.4453672136147792150581920580911373717030e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.3670433490769849765689040310487860234007e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.2730140075268031962185107779810600578067e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9743497137919661265842777533389293649289e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.9447984799521384499460878669335638174838e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.7411749910575080979566480577859194332427e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.5397361755371093750000000000000000000000e+01), SC_(2.5397361755371093750000000000000000000000e+01), SC_(1.8664255547145513931852525945202706461027e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(2.7095397949218750000000000000000000000000e+01), SC_(2.7095397949218750000000000000000000000000e+01), SC_(1.7823908916101695280349329191633981014369e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(4.4206802368164062500000000000000000000000e+01), SC_(4.4206802368164062500000000000000000000000e+01), SC_(1.2441322530131967860208743579878576232633e-03) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(6.1633407592773437500000000000000000000000e+01), SC_(6.1633407592773437500000000000000000000000e+01), SC_(9.6322087103673091416008415033078512390708e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(1.2647183227539062500000000000000000000000e+02), SC_(5.3437620493807148196268830657751056794131e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(1.6294470214843750000000000000000000000000e+02), SC_(4.2888287782045867101122272865886991493749e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(1.6700170898437500000000000000000000000000e+02), SC_(4.1967962069245236597936839573346916332978e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(1.8115838623046875000000000000000000000000e+02), SC_(3.9044232348904597245151411008556735859689e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(1.8267517089843750000000000000000000000000e+02), SC_(3.8754901277022908937521279745835266901759e-04) }}, 
+      {{ SC_(1.9929223632812500000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(1.9377355957031250000000000000000000000000e+02), SC_(3.6761034994021255491166326633354514818636e-04) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/empirical_cumulative_distribution_test.cpp b/src/boost/libs/math/test/empirical_cumulative_distribution_test.cpp
new file mode 100644
index 000000000..632f3653b
--- /dev/null
+++ b/src/boost/libs/math/test/empirical_cumulative_distribution_test.cpp
@@ -0,0 +1,69 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/core/demangle.hpp>
+#include <boost/math/distributions/empirical_cumulative_distribution_function.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using boost::math::empirical_cumulative_distribution_function;
+
+template<class Z>
+void test_uniform_z()
+{
+    std::vector<Z> v{6,3,4,1,2,5};
+
+    auto ecdf = empirical_cumulative_distribution_function(std::move(v));
+
+    CHECK_ULP_CLOSE(1.0/6.0, ecdf(1), 1);
+    CHECK_ULP_CLOSE(2.0/6.0, ecdf(2), 1);
+    CHECK_ULP_CLOSE(3.0/6.0, ecdf(3), 1);
+    CHECK_ULP_CLOSE(4.0/6.0, ecdf(4), 1);
+    CHECK_ULP_CLOSE(5.0/6.0, ecdf(5), 1);
+    CHECK_ULP_CLOSE(6.0/6.0, ecdf(6), 1);
+
+    // Less trivial:
+
+    v = {6,3,4,1,1,1,2,4};
+    ecdf = empirical_cumulative_distribution_function(std::move(v));
+    CHECK_ULP_CLOSE(3.0/8.0, ecdf(1), 1);
+    CHECK_ULP_CLOSE(4.0/8.0, ecdf(2), 1);
+    CHECK_ULP_CLOSE(5.0/8.0, ecdf(3), 1);
+    CHECK_ULP_CLOSE(7.0/8.0, ecdf(4), 1);
+    CHECK_ULP_CLOSE(7.0/8.0, ecdf(5), 1);
+    CHECK_ULP_CLOSE(8.0/8.0, ecdf(6), 1);
+}
+
+template<class Real>
+void test_uniform()
+{
+    size_t n = 128;
+    std::vector<Real> v(n);
+    for (size_t i = 0; i < n; ++i) {
+      v[i] = Real(i+1)/Real(n);
+    }
+
+    auto ecdf = empirical_cumulative_distribution_function(std::move(v));
+
+    for (size_t i = 0; i < n; ++i) {
+      CHECK_ULP_CLOSE(Real(i+1)/Real(n), ecdf(Real(i+1)/Real(n)), 1);
+    }
+}
+
+
+int main()
+{
+    test_uniform_z<int>();
+    test_uniform<double>();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/erf_data.ipp b/src/boost/libs/math/test/erf_data.ipp
new file mode 100644
index 000000000..a40ec4ad9
--- /dev/null
+++ b/src/boost/libs/math/test/erf_data.ipp
@@ -0,0 +1,507 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 500> erf_data = { {
+      {{ SC_(-7.954905033111572265625), SC_(-0.9999999999999999999999999999768236114552), SC_(1.999999999999999999999999999976823611455) }}, 
+      {{ SC_(-7.925852298736572265625), SC_(-0.9999999999999999999999999999631035087875), SC_(1.999999999999999999999999999963103508787) }}, 
+      {{ SC_(-7.923464298248291015625), SC_(-0.9999999999999999999999999999616689085769), SC_(1.999999999999999999999999999961668908577) }}, 
+      {{ SC_(-7.870497226715087890625), SC_(-0.999999999999999999999999999910929780403), SC_(1.999999999999999999999999999910929780403) }}, 
+      {{ SC_(-7.809566974639892578125), SC_(-0.9999999999999999999999999997666672740312), SC_(1.999999999999999999999999999766667274031) }}, 
+      {{ SC_(-7.78337383270263671875), SC_(-0.9999999999999999999999999996477997000614), SC_(1.999999999999999999999999999647799700061) }}, 
+      {{ SC_(-7.75354480743408203125), SC_(-0.9999999999999999999999999994380404842296), SC_(1.99999999999999999999999999943804048423) }}, 
+      {{ SC_(-7.735670566558837890625), SC_(-0.9999999999999999999999999992571019874276), SC_(1.999999999999999999999999999257101987428) }}, 
+      {{ SC_(-7.715617656707763671875), SC_(-0.9999999999999999999999999989846832415537), SC_(1.999999999999999999999999998984683241554) }}, 
+      {{ SC_(-7.7047863006591796875), SC_(-0.999999999999999999999999998798456908148), SC_(1.999999999999999999999999998798456908148) }}, 
+      {{ SC_(-7.53247547149658203125), SC_(-0.9999999999999999999999999830308685738632), SC_(1.999999999999999999999999983030868573863) }}, 
+      {{ SC_(-7.490674495697021484375), SC_(-0.9999999999999999999999999680283814121658), SC_(1.999999999999999999999999968028381412166) }}, 
+      {{ SC_(-7.4677028656005859375), SC_(-0.9999999999999999999999999547824309252063), SC_(1.999999999999999999999999954782430925206) }}, 
+      {{ SC_(-7.45092296600341796875), SC_(-0.9999999999999999999999999417916071317633), SC_(1.999999999999999999999999941791607131763) }}, 
+      {{ SC_(-7.448862552642822265625), SC_(-0.999999999999999999999999939960596846754), SC_(1.999999999999999999999999939960596846754) }}, 
+      {{ SC_(-7.428613185882568359375), SC_(-0.9999999999999999999999999186357837637381), SC_(1.999999999999999999999999918635783763738) }}, 
+      {{ SC_(-7.41693973541259765625), SC_(-0.9999999999999999999999999030902896226869), SC_(1.999999999999999999999999903090289622687) }}, 
+      {{ SC_(-7.352462291717529296875), SC_(-0.9999999999999999999999997466806221320354), SC_(1.999999999999999999999999746680622132035) }}, 
+      {{ SC_(-7.32713413238525390625), SC_(-0.9999999999999999999999996313499781458314), SC_(1.999999999999999999999999631349978145831) }}, 
+      {{ SC_(-7.311619281768798828125), SC_(-0.9999999999999999999999995363881484604713), SC_(1.999999999999999999999999536388148460471) }}, 
+      {{ SC_(-7.279047489166259765625), SC_(-0.9999999999999999999999992510468758087201), SC_(1.99999999999999999999999925104687580872) }}, 
+      {{ SC_(-7.261257648468017578125), SC_(-0.999999999999999999999999027617901396665), SC_(1.999999999999999999999999027617901396665) }}, 
+      {{ SC_(-7.232891559600830078125), SC_(-0.9999999999999999999999985274747006541921), SC_(1.999999999999999999999998527474700654192) }}, 
+      {{ SC_(-7.20552921295166015625), SC_(-0.9999999999999999999999978059072279635353), SC_(1.999999999999999999999997805907227963535) }}, 
+      {{ SC_(-7.18053722381591796875), SC_(-0.9999999999999999999999968458614521146074), SC_(1.999999999999999999999996845861452114607) }}, 
+      {{ SC_(-7.14955902099609375), SC_(-0.9999999999999999999999950624010083082766), SC_(1.999999999999999999999995062401008308277) }}, 
+      {{ SC_(-7.13679790496826171875), SC_(-0.9999999999999999999999940645544114571544), SC_(1.999999999999999999999994064554411457154) }}, 
+      {{ SC_(-7.043527126312255859375), SC_(-0.9999999999999999999999774337000610083234), SC_(1.999999999999999999999977433700061008323) }}, 
+      {{ SC_(-6.9184741973876953125), SC_(-0.9999999999999999999998683679500951423272), SC_(1.999999999999999999999868367950095142327) }}, 
+      {{ SC_(-6.7863311767578125), SC_(-0.9999999999999999999991795120414840889856), SC_(1.999999999999999999999179512041484088986) }}, 
+      {{ SC_(-6.784533023834228515625), SC_(-0.9999999999999999999991590255661336519112), SC_(1.999999999999999999999159025566133651911) }}, 
+      {{ SC_(-6.75908756256103515625), SC_(-0.9999999999999999999988086234364717344992), SC_(1.999999999999999999998808623436471734499) }}, 
+      {{ SC_(-6.7491912841796875), SC_(-0.9999999999999999999986362669470340916908), SC_(1.999999999999999999998636266947034091691) }}, 
+      {{ SC_(-6.701987743377685546875), SC_(-0.999999999999999999997409009041632256952), SC_(1.999999999999999999997409009041632256952) }}, 
+      {{ SC_(-6.658857822418212890625), SC_(-0.9999999999999999999953604766205454848685), SC_(1.999999999999999999995360476620545484869) }}, 
+      {{ SC_(-6.649026393890380859375), SC_(-0.9999999999999999999947043111854298902328), SC_(1.999999999999999999994704311185429890233) }}, 
+      {{ SC_(-6.63174724578857421875), SC_(-0.9999999999999999999933213242713558320894), SC_(1.999999999999999999993321324271355832089) }}, 
+      {{ SC_(-6.562829494476318359375), SC_(-0.9999999999999999999832486398825313868824), SC_(1.999999999999999999983248639882531386882) }}, 
+      {{ SC_(-6.474317073822021484375), SC_(-0.9999999999999999999461767620323245787117), SC_(1.999999999999999999946176762032324578712) }}, 
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+      {{ SC_(5.16167926788330078125), SC_(0.9999999999997116260010072844300443598171), SC_(0.2883739989927155699556401829053926593583e-12) }}, 
+      {{ SC_(5.17528629302978515625), SC_(0.9999999999997501000542008628351256583835), SC_(0.2498999457991371648743416165426368804179e-12) }}, 
+      {{ SC_(5.1753253936767578125), SC_(0.9999999999997502029947677817117184848968), SC_(0.2497970052322182882815151031630978773029e-12) }}, 
+      {{ SC_(5.2130718231201171875), SC_(0.9999999999998324127754807945970261376527), SC_(0.1675872245192054029738623472857515088274e-12) }}, 
+      {{ SC_(5.29325771331787109375), SC_(0.9999999999999288856738052204016145340166), SC_(0.7111432619477959838546598339183116790691e-13) }}, 
+      {{ SC_(5.2994289398193359375), SC_(0.9999999999999334607492711678557262715706), SC_(0.665392507288321442737284293716776963984e-13) }}, 
+      {{ SC_(5.36013698577880859375), SC_(0.9999999999999655451494392296744414479568), SC_(0.344548505607703255585520432106041683721e-13) }}, 
+      {{ SC_(5.45147609710693359375), SC_(0.9999999999999873739267894844232513365118), SC_(0.1262607321051557674866348821792628557972e-13) }}, 
+      {{ SC_(5.50894069671630859375), SC_(0.9999999999999933423585918075134713785513), SC_(0.6657641408192486528621448736888188965298e-14) }}, 
+      {{ SC_(5.57548427581787109375), SC_(0.9999999999999968527672544482246160644115), SC_(0.314723274555177538393558852118569471685e-14) }}, 
+      {{ SC_(5.5860691070556640625), SC_(0.9999999999999972086083536154872247664216), SC_(0.2791391646384512775233578379487718997086e-14) }}, 
+      {{ SC_(5.64849758148193359375), SC_(0.9999999999999986305669378936272102876212), SC_(0.136943306210637278971237882925180230156e-14) }}, 
+      {{ SC_(5.67121601104736328125), SC_(0.9999999999999989452188942213501238951865), SC_(0.1054781105778649876104813506873549674391e-14) }}, 
+      {{ SC_(5.6940021514892578125), SC_(0.9999999999999991890350782086923335431393), SC_(0.8109649217913076664568606728738587613782e-15) }}, 
+      {{ SC_(5.8028507232666015625), SC_(0.9999999999999997722139370566709142078876), SC_(0.2277860629433290857921123973267448027079e-15) }}, 
+      {{ SC_(5.89911556243896484375), SC_(0.9999999999999999273310114171591943570055), SC_(0.7266898858284080564299449379332489531228e-16) }}, 
+      {{ SC_(5.90867519378662109375), SC_(0.9999999999999999351899407560267583020934), SC_(0.6481005924397324169790663469831296572444e-16) }}, 
+      {{ SC_(5.92298793792724609375), SC_(0.9999999999999999454148146455550046656746), SC_(0.5458518535444499533432536380511720243893e-16) }}, 
+      {{ SC_(5.95886135101318359375), SC_(0.9999999999999999645670653382102726138283), SC_(0.3543293466178972738617174425389934295203e-16) }}, 
+      {{ SC_(6.0150852203369140625), SC_(0.9999999999999999820915182893228664770405), SC_(0.1790848171067713352295947212902047549442e-16) }}, 
+      {{ SC_(6.02811908721923828125), SC_(0.9999999999999999847253231421033886323739), SC_(0.1527467685789661136762605508631698629412e-16) }}, 
+      {{ SC_(6.037822723388671875), SC_(0.9999999999999999864342825303533563325582), SC_(0.1356571746964664366744180012364556731983e-16) }}, 
+      {{ SC_(6.05489063262939453125), SC_(0.9999999999999999889944678766415576341472), SC_(0.1100553212335844236585283710674808407408e-16) }}, 
+      {{ SC_(6.1759700775146484375), SC_(0.9999999999999999975448452162650769292541), SC_(0.245515478373492307074589212037218914569e-17) }}, 
+      {{ SC_(6.20361804962158203125), SC_(0.9999999999999999982640371408095169271104), SC_(0.1735962859190483072889644262633920675422e-17) }}, 
+      {{ SC_(6.254451751708984375), SC_(0.9999999999999999990857858792087275530364), SC_(0.9142141207912724469636044315135167092246e-18) }}, 
+      {{ SC_(6.4008617401123046875), SC_(0.999999999999999999859864992644041031821), SC_(0.1401350073559589681790226673644335192431e-18) }}, 
+      {{ SC_(6.40293121337890625), SC_(0.9999999999999999998635724949753329988618), SC_(0.1364275050246670011381531339230014520635e-18) }}, 
+      {{ SC_(6.44345760345458984375), SC_(0.9999999999999999999194393258289466407135), SC_(0.805606741710533592864585458434444068011e-19) }}, 
+      {{ SC_(6.47809505462646484375), SC_(0.9999999999999999999487763610108722858332), SC_(0.5122363898912771416675345659572395374372e-19) }}, 
+      {{ SC_(6.49267101287841796875), SC_(0.9999999999999999999576934136067901865991), SC_(0.423065863932098134009397058320083027927e-19) }}, 
+      {{ SC_(6.5178356170654296875), SC_(0.9999999999999999999696208471565094820618), SC_(0.3037915284349051793818500085981039089403e-19) }}, 
+      {{ SC_(6.53493785858154296875), SC_(0.9999999999999999999757610063637445566877), SC_(0.2423899363625544331226481168890701986164e-19) }}, 
+      {{ SC_(6.56903934478759765625), SC_(0.9999999999999999999845747232345600776473), SC_(0.1542527676543992235266715952300598475537e-19) }}, 
+      {{ SC_(6.57036113739013671875), SC_(0.9999999999999999999848432925940364693913), SC_(0.1515670740596353060870931696674263406445e-19) }}, 
+      {{ SC_(6.6012401580810546875), SC_(0.9999999999999999999899544411087670709063), SC_(0.1004555889123292909367535592918549282524e-19) }}, 
+      {{ SC_(6.6133975982666015625), SC_(0.9999999999999999999914607396914475599695), SC_(0.8539260308552440030489025187766437033893e-20) }}, 
+      {{ SC_(6.614013671875), SC_(0.9999999999999999999915308157266726582396), SC_(0.846918427332734176038950311387000199938e-20) }}, 
+      {{ SC_(6.65176868438720703125), SC_(0.9999999999999999999948960492295407549616), SC_(0.5103950770459245038373864424994355232744e-20) }}, 
+      {{ SC_(6.67388629913330078125), SC_(0.9999999999999999999962112561597774386166), SC_(0.3788743840222561383427898405609521135209e-20) }}, 
+      {{ SC_(6.675098419189453125), SC_(0.9999999999999999999962727294431245722943), SC_(0.3727270556875427705686833997971476711389e-20) }}, 
+      {{ SC_(6.73399639129638671875), SC_(0.9999999999999999999983224938408648373451), SC_(0.1677506159135162654937097106857586013789e-20) }}, 
+      {{ SC_(6.774074554443359375), SC_(0.9999999999999999999990294388848823039468), SC_(0.9705611151176960532165924022124182051181e-21) }}, 
+      {{ SC_(6.839885711669921875), SC_(0.9999999999999999999996075324506377418898), SC_(0.3924675493622581101992853509398975667702e-21) }}, 
+      {{ SC_(6.86166667938232421875), SC_(0.9999999999999999999997097026235625653255), SC_(0.2902973764374346745366897115310349140629e-21) }}, 
+      {{ SC_(6.86821842193603515625), SC_(0.9999999999999999999997349241430742071849), SC_(0.2650758569257928151403169457718795390422e-21) }}, 
+      {{ SC_(6.87017536163330078125), SC_(0.9999999999999999999997420278370314862565), SC_(0.2579721629685137435110698159577792881e-21) }}, 
+      {{ SC_(6.9438915252685546875), SC_(0.999999999999999999999907789706111134148), SC_(0.9221029388886585196730336935045033388208e-22) }}, 
+      {{ SC_(6.94417095184326171875), SC_(0.9999999999999999999999081504757103419795), SC_(0.9184952428965802049788611864563591946226e-22) }}, 
+      {{ SC_(7.02402496337890625), SC_(0.999999999999999999999970229303356580071), SC_(0.2977069664341992903453738993900401285503e-22) }}, 
+      {{ SC_(7.04118442535400390625), SC_(0.9999999999999999999999766690647347813976), SC_(0.2333093526521860243876854475410979262103e-22) }}, 
+      {{ SC_(7.0728092193603515625), SC_(0.9999999999999999999999851346580378971058), SC_(0.1486534196210289422461831541803890066821e-22) }}, 
+      {{ SC_(7.11659526824951171875), SC_(0.9999999999999999999999920618538775044464), SC_(0.7938146122495553642615968497016709781571e-23) }}, 
+      {{ SC_(7.18280124664306640625), SC_(0.9999999999999999999999969477254268593726), SC_(0.3052274573140627399432973240733715500213e-23) }}, 
+      {{ SC_(7.20355319976806640625), SC_(0.9999999999999999999999977419301284355623), SC_(0.2258069871564437709331260570315365949665e-23) }}, 
+      {{ SC_(7.27909374237060546875), SC_(0.9999999999999999999999992515556916792261), SC_(0.7484443083207738734503483608935021035732e-24) }}, 
+      {{ SC_(7.28028106689453125), SC_(0.9999999999999999999999992645004451770347), SC_(0.7354995548229653146869970523781527988642e-24) }}, 
+      {{ SC_(7.298152923583984375), SC_(0.9999999999999999999999994345631928770567), SC_(0.5654368071229432894992332067407147179749e-24) }}, 
+      {{ SC_(7.31467151641845703125), SC_(0.9999999999999999999999995568116259996168), SC_(0.4431883740003831823890539135951501761503e-24) }}, 
+      {{ SC_(7.32010936737060546875), SC_(0.9999999999999999999999995910130381669911), SC_(0.4089869618330089157685151201949087925479e-24) }}, 
+      {{ SC_(7.34866237640380859375), SC_(0.9999999999999999999999997319906448357093), SC_(0.268009355164290673339087031887057715089e-24) }}, 
+      {{ SC_(7.351879119873046875), SC_(0.9999999999999999999999997444791197223142), SC_(0.2555208802776857586959896180952785091403e-24) }}, 
+      {{ SC_(7.35590362548828125), SC_(0.9999999999999999999999997592943074733691), SC_(0.2407056925266308623391590746789683246709e-24) }}, 
+      {{ SC_(7.390369415283203125), SC_(0.9999999999999999999999998558663763263787), SC_(0.1441336236736213391389793807586759175995e-24) }}, 
+      {{ SC_(7.43821620941162109375), SC_(0.9999999999999999999999999295502581038212), SC_(0.7044974189617879705218727765406635153304e-25) }}, 
+      {{ SC_(7.43946170806884765625), SC_(0.9999999999999999999999999308550578406467), SC_(0.6914494215935333790398074475111218230458e-25) }}, 
+      {{ SC_(7.48311901092529296875), SC_(0.999999999999999999999999964163218913179), SC_(0.3583678108682102561152351850893798856277e-25) }}, 
+      {{ SC_(7.49824619293212890625), SC_(0.9999999999999999999999999714868908856129), SC_(0.2851310911438713788012919629820992423858e-25) }}, 
+      {{ SC_(7.50188446044921875), SC_(0.9999999999999999999999999730141507157818), SC_(0.2698584928421822020035304290073321597406e-25) }}, 
+      {{ SC_(7.52948474884033203125), SC_(0.9999999999999999999999999822420651220879), SC_(0.1775793487791212989839150755243583008096e-25) }}, 
+      {{ SC_(7.6320323944091796875), SC_(0.9999999999999999999999999962984458271673), SC_(0.3701554172832712513006017529906907914499e-26) }}, 
+      {{ SC_(7.6759738922119140625), SC_(0.9999999999999999999999999981215459672183), SC_(0.1878454032781689292876320094611621328422e-26) }}, 
+      {{ SC_(7.67881011962890625), SC_(0.999999999999999999999999998202249704333), SC_(0.1797750295667047232713633441478606640198e-26) }}, 
+      {{ SC_(7.69775485992431640625), SC_(0.9999999999999999999999999986598159749852), SC_(0.1340184025014838921678286365792744470017e-26) }}, 
+      {{ SC_(7.70757007598876953125), SC_(0.9999999999999999999999999988493273258458), SC_(0.1150672674154231530685408186230565876878e-26) }}, 
+      {{ SC_(7.71776866912841796875), SC_(0.9999999999999999999999999990181051135537), SC_(0.9818948864462603043818495768683861311821e-27) }}, 
+      {{ SC_(7.79935359954833984375), SC_(0.9999999999999999999999999997259876414039), SC_(0.2740123585961319556857387807076098785701e-27) }}, 
+      {{ SC_(7.81407070159912109375), SC_(0.9999999999999999999999999997826446873284), SC_(0.2173553126715507615629930753265485721298e-27) }}, 
+      {{ SC_(7.81634521484375), SC_(0.9999999999999999999999999997902963473516), SC_(0.209703652648431358354620963217352346183e-27) }}, 
+      {{ SC_(7.84175968170166015625), SC_(0.9999999999999999999999999998595912638039), SC_(0.1404087361960659424532579514219630734144e-27) }}, 
+      {{ SC_(7.88610076904296875), SC_(0.9999999999999999999999999999304798650663), SC_(0.6952013493370366965787168537834557597352e-28) }}, 
+      {{ SC_(7.89655590057373046875), SC_(0.9999999999999999999999999999411317291543), SC_(0.5886827084565561878281328421149862522402e-28) }}, 
+      {{ SC_(7.9050960540771484375), SC_(0.9999999999999999999999999999486179207741), SC_(0.513820792259039401977061154556515432295e-28) }}, 
+      {{ SC_(7.93815517425537109375), SC_(0.9999999999999999999999999999696918627742), SC_(0.3030813722580726383815315462367670870671e-28) }}, 
+      {{ SC_(7.94338130950927734375), SC_(0.9999999999999999999999999999721239170155), SC_(0.2787608298449905464917225531595312562447e-28) }}
+   } };
diff --git a/src/boost/libs/math/test/erf_inv_data.ipp b/src/boost/libs/math/test/erf_inv_data.ipp
new file mode 100644
index 000000000..26b113a82
--- /dev/null
+++ b/src/boost/libs/math/test/erf_inv_data.ipp
@@ -0,0 +1,108 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> erf_inv_data = { {
+      {{ SC_(-0.990433037281036376953125), SC_(-1.832184533179510927322805923563700329767) }}, 
+      {{ SC_(-0.936334311962127685546875), SC_(-1.311339282092737086640055105484822812599) }}, 
+      {{ SC_(-0.931107819080352783203125), SC_(-1.286316461685184857889337272829270644576) }}, 
+      {{ SC_(-0.928576648235321044921875), SC_(-1.274755355308702535979544636706295190547) }}, 
+      {{ SC_(-0.92711746692657470703125), SC_(-1.268242390461126936128446743938528753699) }}, 
+      {{ SC_(-0.907657206058502197265625), SC_(-1.190178701802009872651528128114629153367) }}, 
+      {{ SC_(-0.89756715297698974609375), SC_(-1.154826929034364581020764782706068245251) }}, 
+      {{ SC_(-0.80573642253875732421875), SC_(-0.917873491512746130598510739795171676962) }}, 
+      {{ SC_(-0.804919183254241943359375), SC_(-0.9161942446913841771580833184012189161559) }}, 
+      {{ SC_(-0.780276477336883544921875), SC_(-0.867806431357551134410815525153998291827) }}, 
+      {{ SC_(-0.775070965290069580078125), SC_(-0.8580919924152284867224297625328485999768) }}, 
+      {{ SC_(-0.7496345043182373046875), SC_(-0.8127924290810407931222432768905514928867) }}, 
+      {{ SC_(-0.74820673465728759765625), SC_(-0.8103475955423936417307157186107256388648) }}, 
+      {{ SC_(-0.74602639675140380859375), SC_(-0.806632688757205819001462030577472890805) }}, 
+      {{ SC_(-0.72904598712921142578125), SC_(-0.7784313874823551106598826200232666844639) }}, 
+      {{ SC_(-0.7162272930145263671875), SC_(-0.7579355487144890063429377586715787838945) }}, 
+      {{ SC_(-0.701772034168243408203125), SC_(-0.7355614373173595299453301005770428516518) }}, 
+      {{ SC_(-0.68477380275726318359375), SC_(-0.7101588399949052872532446197423489724803) }}, 
+      {{ SC_(-0.657626628875732421875), SC_(-0.6713881533266128640126408255047881638389) }}, 
+      {{ SC_(-0.652269661426544189453125), SC_(-0.6639738263692763456669198307149427734317) }}, 
+      {{ SC_(-0.6262547969818115234375), SC_(-0.6289572925573171740836428308746584439674) }}, 
+      {{ SC_(-0.62323606014251708984375), SC_(-0.6249936843093662471116097431474787933967) }}, 
+      {{ SC_(-0.57958185672760009765625), SC_(-0.5697131213589784467617578394703976041604) }}, 
+      {{ SC_(-0.576151371002197265625), SC_(-0.5655172244109430153330195150336141500139) }}, 
+      {{ SC_(-0.5579319000244140625), SC_(-0.5435569422159360687847790186563654276103) }}, 
+      {{ SC_(-0.446154057979583740234375), SC_(-0.4186121208546731033057205459902879301199) }}, 
+      {{ SC_(-0.44300353527069091796875), SC_(-0.4152898953738801984047941692529271391195) }}, 
+      {{ SC_(-0.40594112873077392578125), SC_(-0.3768620801611051992528860948080812212023) }}, 
+      {{ SC_(-0.396173775196075439453125), SC_(-0.3669220210390825311547962776125822899061) }}, 
+      {{ SC_(-0.38366591930389404296875), SC_(-0.3542977152760563782151668726041057557165) }}, 
+      {{ SC_(-0.36689913272857666015625), SC_(-0.3375493847053488720470432821496358279516) }}, 
+      {{ SC_(-0.365801036357879638671875), SC_(-0.3364591774366710656954166264654945559873) }}, 
+      {{ SC_(-0.277411997318267822265625), SC_(-0.2510244067029671790889794981353227476998) }}, 
+      {{ SC_(-0.236883103847503662109375), SC_(-0.213115119330839975829499967157244997714) }}, 
+      {{ SC_(-0.215545952320098876953125), SC_(-0.1934073617841803428235669261097060281642) }}, 
+      {{ SC_(-0.202522933483123779296875), SC_(-0.1814532246720147926398927046057793150106) }}, 
+      {{ SC_(-0.18253767490386962890625), SC_(-0.1632073953550647568421821286058243218715) }}, 
+      {{ SC_(-0.156477451324462890625), SC_(-0.1395756320903277910768376053314442757507) }}, 
+      {{ SC_(-0.1558246612548828125), SC_(-0.1389857795955756484965030151195660030168) }}, 
+      {{ SC_(-0.12251126766204833984375), SC_(-0.109002961098867662134935094105847496074) }}, 
+      {{ SC_(-0.1088275909423828125), SC_(-0.09674694516640724629590870677194632943569) }}, 
+      {{ SC_(-0.08402168750762939453125), SC_(-0.07460044047654119877070700345343119035515) }}, 
+      {{ SC_(-0.05048263072967529296875), SC_(-0.04476895818328636312384562686715995170129) }}, 
+      {{ SC_(-0.029248714447021484375), SC_(-0.0259268064334840921104659134138093242797) }}, 
+      {{ SC_(-0.02486217021942138671875), SC_(-0.02203709146986755832638577823832075055744) }}, 
+      {{ SC_(-0.02047121524810791015625), SC_(-0.01814413302702029459097557481591610553903) }}, 
+      {{ SC_(-0.018821895122528076171875), SC_(-0.01668201759439857888105181293763417899072) }}, 
+      {{ SC_(0.0073254108428955078125), SC_(0.006492067534753215749601670217642082465642) }}, 
+      {{ SC_(0.09376299381256103515625), SC_(0.08328747254794857150987333986733043734817) }}, 
+      {{ SC_(0.0944411754608154296875), SC_(0.08389270963798942778622198997355058545872) }}, 
+      {{ SC_(0.264718532562255859375), SC_(0.2390787735821979528028028789569770109829) }}, 
+      {{ SC_(0.27952671051025390625), SC_(0.2530214201700340392837551955289041822603) }}, 
+      {{ SC_(0.29262602329254150390625), SC_(0.2654374523135675523971788948011709467352) }}, 
+      {{ SC_(0.3109557628631591796875), SC_(0.282950508503826367238408926581528085458) }}, 
+      {{ SC_(0.31148135662078857421875), SC_(0.2834552014554130441860525970673030809536) }}, 
+      {{ SC_(0.32721102237701416015625), SC_(0.2986277427848421570858990348074985028421) }}, 
+      {{ SC_(0.3574702739715576171875), SC_(0.3282140305634627092431945088114761850208) }}, 
+      {{ SC_(0.362719058990478515625), SC_(0.3334035993712283467959295804559099468454) }}, 
+      {{ SC_(0.3896572589874267578125), SC_(0.3603304982893212173104266596348905175268) }}, 
+      {{ SC_(0.4120922088623046875), SC_(0.3831602323665075533579267768785894144888) }}, 
+      {{ SC_(0.41872966289520263671875), SC_(0.3899906753567599452444107492361433402154) }}, 
+      {{ SC_(0.45167791843414306640625), SC_(0.4244594733907945411184647153213164209335) }}, 
+      {{ SC_(0.48129451274871826171875), SC_(0.4563258063707025027210352963461819167707) }}, 
+      {{ SC_(0.4862649440765380859375), SC_(0.4617640058971775089811390737537561779898) }}, 
+      {{ SC_(0.50937330722808837890625), SC_(0.4874174763856674076219106695373814892182) }}, 
+      {{ SC_(0.5154802799224853515625), SC_(0.4943041993872143888987628020569772222018) }}, 
+      {{ SC_(0.52750003337860107421875), SC_(0.5079978091910991117615000459548117088362) }}, 
+      {{ SC_(0.53103363513946533203125), SC_(0.5120597685873370942783226077302881881069) }}, 
+      {{ SC_(0.58441460132598876953125), SC_(0.5756584292527058478710392476034273328569) }}, 
+      {{ SC_(0.5879499912261962890625), SC_(0.5800336103175463592377907341030447077804) }}, 
+      {{ SC_(0.59039986133575439453125), SC_(0.5830784871670823806198622501806646778319) }}, 
+      {{ SC_(0.59455978870391845703125), SC_(0.588273673825686998734497652983815773459) }}, 
+      {{ SC_(0.59585726261138916015625), SC_(0.5899005483108011364541949539839185473259) }}, 
+      {{ SC_(0.5962116718292236328125), SC_(0.5903454775096607218832535637355431851718) }}, 
+      {{ SC_(0.6005609035491943359375), SC_(0.5958247243549040349587326482492767206448) }}, 
+      {{ SC_(0.6150619983673095703125), SC_(0.6143583249050861028039832921829036722514) }}, 
+      {{ SC_(0.62944734096527099609375), SC_(0.6331707263097125575937994856370309207836) }}, 
+      {{ SC_(0.64380657672882080078125), SC_(0.6524069265890823819975498133014027247554) }}, 
+      {{ SC_(0.6469156742095947265625), SC_(0.656635855345815020063728463464436343698) }}, 
+      {{ SC_(0.67001712322235107421875), SC_(0.6888269167957872563013714303376548038671) }}, 
+      {{ SC_(0.6982586383819580078125), SC_(0.7302336318927408409119676651737758401138) }}, 
+      {{ SC_(0.74485766887664794921875), SC_(0.8046505193013635090578266413458426260098) }}, 
+      {{ SC_(0.75686132907867431640625), SC_(0.8253191678260588578995203396384711816647) }}, 
+      {{ SC_(0.81158387660980224609375), SC_(0.9300427626888758122211127950646282789481) }}, 
+      {{ SC_(0.826751708984375), SC_(0.9629665092443368464606966822833571908852) }}, 
+      {{ SC_(0.83147108554840087890625), SC_(0.9736479209913771931387473923084901789046) }}, 
+      {{ SC_(0.84174954891204833984375), SC_(0.997713670556719074960678197806799852186) }}, 
+      {{ SC_(0.8679864406585693359375), SC_(1.065050516333636716777334376076374184102) }}, 
+      {{ SC_(0.90044414997100830078125), SC_(1.164612422633086435501625591693259387477) }}, 
+      {{ SC_(0.91433393955230712890625), SC_(1.215315881176612875682446995412738776976) }}, 
+      {{ SC_(0.91501367092132568359375), SC_(1.217962731073139868794942852653058932976) }}, 
+      {{ SC_(0.918984889984130859375), SC_(1.233778505900771488542027767896521427575) }}, 
+      {{ SC_(0.92977702617645263671875), SC_(1.28019542575660930623179572273596558907) }}, 
+      {{ SC_(0.93538987636566162109375), SC_(1.306695301483797253764522033930388453334) }}, 
+      {{ SC_(0.93773555755615234375), SC_(1.318335478463913327121670503572736587296) }}, 
+      {{ SC_(0.94118559360504150390625), SC_(1.33613349872692113073358883961598631154) }}, 
+      {{ SC_(0.96221935749053955078125), SC_(1.468821071545234761861756248744372345584) }}, 
+      {{ SC_(0.98576259613037109375), SC_(1.733272259459038694476413373595347034928) }}, 
+      {{ SC_(0.9881370067596435546875), SC_(1.77921769652839903464038407684397479173) }}, 
+      {{ SC_(0.99292266368865966796875), SC_(1.904368122482929779094714951471938518496) }}
+   } };
+
diff --git a/src/boost/libs/math/test/erf_large_data.ipp b/src/boost/libs/math/test/erf_large_data.ipp
new file mode 100644
index 000000000..c5e261de9
--- /dev/null
+++ b/src/boost/libs/math/test/erf_large_data.ipp
@@ -0,0 +1,307 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 300> erf_large_data = { {
+      {{ SC_(8.2311115264892578125), SC_(0.9999999999999999999999999999997436415644), SC_(0.2563584356432915693836191701249115171878e-30) }}, 
+      {{ SC_(8.3800067901611328125), SC_(0.9999999999999999999999999999999787664373), SC_(0.212335626810981756102114466368867764939e-31) }}, 
+      {{ SC_(8.39224529266357421875), SC_(0.9999999999999999999999999999999827316301), SC_(0.1726836993826464997300336080711750877816e-31) }}, 
+      {{ SC_(8.66370105743408203125), SC_(0.9999999999999999999999999999999998367494), SC_(0.1632506054605993373182936619108145081694e-33) }}, 
+      {{ SC_(8.9759693145751953125), SC_(0.9999999999999999999999999999999999993611), SC_(0.6389109854135105643535885036658544645608e-36) }}, 
+      {{ SC_(9.1102085113525390625), SC_(0.9999999999999999999999999999999999999445), SC_(0.5554662272164108694298027082501260363284e-37) }}, 
+      {{ SC_(9.45745944976806640625), SC_(0.9999999999999999999999999999999999999999), SC_(0.8480477594433168680596946662186145070498e-40) }}, 
+      {{ SC_(10.61029338836669921875), SC_(1.0), SC_(0.6786472703144874611591306359565011820753e-50) }}, 
+      {{ SC_(10.8140201568603515625), SC_(1.0), SC_(0.8470069870191149998048954134093763207838e-52) }}, 
+      {{ SC_(10.82457828521728515625), SC_(1.0), SC_(0.6733586817565831939437647508350297170672e-52) }}, 
+      {{ SC_(10.9283580780029296875), SC_(1.0), SC_(0.6977670213613499261034444110870077646237e-53) }}, 
+      {{ SC_(10.98818302154541015625), SC_(1.0), SC_(0.1870385270398381154229086866501074415355e-53) }}, 
+      {{ SC_(11.31863117218017578125), SC_(1.0), SC_(0.1142544869245536263179923727458113771164e-56) }}, 
+      {{ SC_(11.69488239288330078125), SC_(1.0), SC_(0.1919907987324948057617154107998359393185e-60) }}, 
+      {{ SC_(11.78605365753173828125), SC_(1.0), SC_(0.2239752724414047638235296360419194553396e-61) }}, 
+      {{ SC_(12.1997470855712890625), SC_(1.0), SC_(0.1061491854672859805410277580039105082623e-65) }}, 
+      {{ SC_(12.4239101409912109375), SC_(1.0), SC_(0.4177140558891845034847722323657671701092e-68) }}, 
+      {{ SC_(13.54282093048095703125), SC_(1.0), SC_(0.9235451601555197945993611934762413642509e-81) }}, 
+      {{ SC_(14.22005176544189453125), SC_(1.0), SC_(0.6009313847910459672567608314935750835662e-89) }}, 
+      {{ SC_(14.22926807403564453125), SC_(1.0), SC_(0.4620339167397254212949689945484104460402e-89) }}, 
+      {{ SC_(14.359676361083984375), SC_(1.0), SC_(0.1100471801774583728133644248988374419641e-90) }}, 
+      {{ SC_(14.41039371490478515625), SC_(1.0), SC_(0.2548929323782609375991749296565683531577e-91) }}, 
+      {{ SC_(14.87335300445556640625), SC_(1.0), SC_(0.3198000452629152167848001696581299429735e-97) }}, 
+      {{ SC_(14.92373943328857421875), SC_(1.0), SC_(0.7101988862786309879894988884459001902733e-98) }}, 
+      {{ SC_(15.8191242218017578125), SC_(1.0), SC_(0.7438591168260150840237290305856485663443e-110) }}, 
+      {{ SC_(15.96480560302734375), SC_(1.0), SC_(0.7187861904421355163894524608883700422307e-112) }}, 
+      {{ SC_(15.99831295013427734375), SC_(1.0), SC_(0.2457896620902286177098546091913977024151e-112) }}, 
+      {{ SC_(16.7455272674560546875), SC_(1.0), SC_(0.5559992295828943910250640094814395579468e-123) }}, 
+      {{ SC_(17.008663177490234375), SC_(1.0), SC_(0.760237064211963037211163791564153667507e-127) }}, 
+      {{ SC_(17.2220897674560546875), SC_(1.0), SC_(0.5043169273534506801418127595237229711103e-130) }}, 
+      {{ SC_(17.757808685302734375), SC_(1.0), SC_(0.35565429074608249855471197796329792194e-138) }}, 
+      {{ SC_(17.802867889404296875), SC_(1.0), SC_(0.7145708921803004436285314631231014067581e-139) }}, 
+      {{ SC_(18.112152099609375), SC_(1.0), SC_(0.1053094819294519519788245447399920974245e-143) }}, 
+      {{ SC_(18.2649860382080078125), SC_(1.0), SC_(0.4020674492293458832133643654712400773494e-146) }}, 
+      {{ SC_(18.32352447509765625), SC_(1.0), SC_(0.4706809140073901333884996503518029500936e-147) }}, 
+      {{ SC_(18.4129180908203125), SC_(1.0), SC_(0.1755474923764976123532737166943228663005e-148) }}, 
+      {{ SC_(18.652309417724609375), SC_(1.0), SC_(0.2428091775485678872414439322587700295772e-152) }}, 
+      {{ SC_(18.9056758880615234375), SC_(1.0), SC_(0.1764835785229242910502507612159515936326e-156) }}, 
+      {{ SC_(19.1091136932373046875), SC_(1.0), SC_(0.7645206854732087495539968665185944859194e-160) }}, 
+      {{ SC_(19.1576213836669921875), SC_(1.0), SC_(0.1191626992794708978523133508616313098621e-160) }}, 
+      {{ SC_(19.31610870361328125), SC_(1.0), SC_(0.2657165206820982194424196529775105931442e-163) }}, 
+      {{ SC_(19.3672046661376953125), SC_(1.0), SC_(0.3671679040400985756060408739652361271147e-164) }}, 
+      {{ SC_(19.6346797943115234375), SC_(1.0), SC_(0.1067452532475426004914816798590685683097e-168) }}, 
+      {{ SC_(19.8862934112548828125), SC_(1.0), SC_(0.5060597273643268882175716699743699135461e-173) }}, 
+      {{ SC_(19.93419647216796875), SC_(1.0), SC_(0.7494327004502860500754429706601818608063e-174) }}, 
+      {{ SC_(20.2273464202880859375), SC_(1.0), SC_(0.5692529890798582547111055729709760376723e-179) }}, 
+      {{ SC_(20.242107391357421875), SC_(1.0), SC_(0.3130080167182599318145495989493729041355e-179) }}, 
+      {{ SC_(20.4949970245361328125), SC_(1.0), SC_(0.1037715327566096248596862690543722677311e-183) }}, 
+      {{ SC_(20.6639499664306640625), SC_(1.0), SC_(0.9828104968491392552509099594974133192176e-187) }}, 
+      {{ SC_(20.9242725372314453125), SC_(1.0), SC_(0.1928501126858728847552898327055431396084e-191) }}, 
+      {{ SC_(20.9607219696044921875), SC_(1.0), SC_(0.4182492638018175069922633264256087874033e-192) }}, 
+      {{ SC_(21.2989482879638671875), SC_(1.0), SC_(0.2552602767811562690060253249228934667833e-198) }}, 
+      {{ SC_(21.3341617584228515625), SC_(1.0), SC_(0.5679087385569991824361542895704294427451e-199) }}, 
+      {{ SC_(21.5831966400146484375), SC_(1.0), SC_(0.1280987506428470296014925421711821162698e-203) }}, 
+      {{ SC_(22.0373077392578125), SC_(1.0), SC_(0.3131661581007378806102060325912155502701e-212) }}, 
+      {{ SC_(22.2569446563720703125), SC_(1.0), SC_(0.1846614406013614928732974356509343390705e-216) }}, 
+      {{ SC_(22.9114551544189453125), SC_(1.0), SC_(0.2598259766741800523533570657530873506244e-229) }}, 
+      {{ SC_(23.0804386138916015625), SC_(1.0), SC_(0.108696918487531328017390687052866837422e-232) }}, 
+      {{ SC_(23.3235530853271484375), SC_(1.0), SC_(0.1355781333962075845012366321672254343728e-237) }}, 
+      {{ SC_(23.4473209381103515625), SC_(1.0), SC_(0.4129348514781646974836324488402049303682e-240) }}, 
+      {{ SC_(24.12081146240234375), SC_(1.0), SC_(0.4900590012091086604540120205982908317771e-254) }}, 
+      {{ SC_(24.3631992340087890625), SC_(1.0), SC_(0.382044899410099463972224844951303224334e-259) }}, 
+      {{ SC_(25.061580657958984375), SC_(1.0), SC_(0.379460392354870154626118964688104627376e-274) }}, 
+      {{ SC_(25.23714447021484375), SC_(1.0), SC_(0.5508622514289808668363975738198678197993e-278) }}, 
+      {{ SC_(25.3777942657470703125), SC_(1.0), SC_(0.4435055276360357438046878641441812378362e-281) }}, 
+      {{ SC_(25.813503265380859375), SC_(1.0), SC_(0.8969991006618404791166973289604328222239e-291) }}, 
+      {{ SC_(26.1247920989990234375), SC_(1.0), SC_(0.8433396822097075603573541828301520902564e-298) }}, 
+      {{ SC_(26.3525791168212890625), SC_(1.0), SC_(0.5380559555748413036380180439113786214843e-303) }}, 
+      {{ SC_(26.776111602783203125), SC_(1.0), SC_(0.8944111506115654515313274252719979616663e-313) }}, 
+      {{ SC_(26.8727970123291015625), SC_(1.0), SC_(0.4980346568584009068204868294049186460128e-315) }}, 
+      {{ SC_(27.6731243133544921875), SC_(1.0), SC_(0.5315985423107748521341095763480509306686e-334) }}, 
+      {{ SC_(27.6761074066162109375), SC_(1.0), SC_(0.4506400985060962000709584088621043872847e-334) }}, 
+      {{ SC_(27.96904754638671875), SC_(1.0), SC_(0.3715003445893695695072259525562685194324e-341) }}, 
+      {{ SC_(28.58887481689453125), SC_(1.0), SC_(0.2166518476138800933879816106005670654441e-356) }}, 
+      {{ SC_(28.742389678955078125), SC_(1.0), SC_(0.3244339622815072602163752228132919409512e-360) }}, 
+      {{ SC_(28.851139068603515625), SC_(1.0), SC_(0.6157273676049535809152624774082572414474e-363) }}, 
+      {{ SC_(28.9178009033203125), SC_(1.0), SC_(0.1305949729571576658796058283659336601413e-364) }}, 
+      {{ SC_(29.1156768798828125), SC_(1.0), SC_(0.1335911177834992334477211342269950231736e-369) }}, 
+      {{ SC_(29.3093738555908203125), SC_(1.0), SC_(0.1614718326165092385338896025176950706834e-374) }}, 
+      {{ SC_(29.5636444091796875), SC_(1.0), SC_(0.504780346276441675830815513402480460203e-381) }}, 
+      {{ SC_(29.631839752197265625), SC_(1.0), SC_(0.8890342529017924395163297463196226030207e-383) }}, 
+      {{ SC_(30.6340579986572265625), SC_(1.0), SC_(0.5049904008337056546410563604215235735623e-409) }}, 
+      {{ SC_(30.707683563232421875), SC_(1.0), SC_(0.5505904741434267060539220169867548888751e-411) }}, 
+      {{ SC_(30.8368549346923828125), SC_(1.0), SC_(0.1934000588075928658952471412237852868705e-414) }}, 
+      {{ SC_(31.179210662841796875), SC_(1.0), SC_(0.1150586385665917046799828457578881631925e-423) }}, 
+      {{ SC_(31.4387989044189453125), SC_(1.0), SC_(0.9951971607786623315295164065875436156955e-431) }}, 
+      {{ SC_(32.356414794921875), SC_(1.0), SC_(0.3647911693171115642349382796707730440408e-456) }}, 
+      {{ SC_(32.586200714111328125), SC_(1.0), SC_(0.1196854549366123742924784427293234502016e-462) }}, 
+      {{ SC_(32.75687408447265625), SC_(1.0), SC_(0.1707585732299349124939643284536648783473e-467) }}, 
+      {{ SC_(33.2696990966796875), SC_(1.0), SC_(0.3314340732586949021659796359200734182646e-482) }}, 
+      {{ SC_(33.519634246826171875), SC_(1.0), SC_(0.1851275204503437416978123025595612676848e-489) }}, 
+      {{ SC_(33.957134246826171875), SC_(1.0), SC_(0.276057351872287608387770565675906984022e-502) }}, 
+      {{ SC_(34.00215911865234375), SC_(1.0), SC_(0.1292839762753917184628820650991754160974e-503) }}, 
+      {{ SC_(35.2607574462890625), SC_(1.0), SC_(0.1723862426577913396207111099832970757108e-541) }}, 
+      {{ SC_(35.6440582275390625), SC_(1.0), SC_(0.2682942190174394220973041800979694793591e-553) }}, 
+      {{ SC_(35.898014068603515625), SC_(1.0), SC_(0.3427988522143486471852246306766064547166e-561) }}, 
+      {{ SC_(35.91162872314453125), SC_(1.0), SC_(0.128908321457486470920213918176837870702e-561) }}, 
+      {{ SC_(36.391139984130859375), SC_(1.0), SC_(0.1115677489279136454855597068297808612163e-576) }}, 
+      {{ SC_(36.69866943359375), SC_(1.0), SC_(0.1914841862056771258044968899947647500071e-586) }}, 
+      {{ SC_(36.778095245361328125), SC_(1.0), SC_(0.5580499602695800066261393252867262445483e-589) }}, 
+      {{ SC_(36.836078643798828125), SC_(1.0), SC_(0.7802735251877915942902082027097296754913e-591) }}, 
+      {{ SC_(36.926517486572265625), SC_(1.0), SC_(0.9862852517813094777393024048350874991345e-594) }}, 
+      {{ SC_(37.220302581787109375), SC_(1.0), SC_(0.3390210353535371981540883592991293306856e-603) }}, 
+      {{ SC_(37.62610626220703125), SC_(1.0), SC_(0.2161308855123068080619903224122596349173e-616) }}, 
+      {{ SC_(37.78128814697265625), SC_(1.0), SC_(0.1781872758239509973907000853718925676836e-621) }}, 
+      {{ SC_(39.196559906005859375), SC_(1.0), SC_(0.8334676760927633157297582502293215474801e-669) }}, 
+      {{ SC_(39.287792205810546875), SC_(1.0), SC_(0.6459479389166880954444837324458596842583e-672) }}, 
+      {{ SC_(39.3513031005859375), SC_(1.0), SC_(0.4369573452597126768250060965811055881436e-674) }}, 
+      {{ SC_(39.75826263427734375), SC_(1.0), SC_(0.4509483787208385166749854593762529916563e-688) }}, 
+      {{ SC_(39.86272430419921875), SC_(1.0), SC_(0.1098531610189679641881639506181744668225e-691) }}, 
+      {{ SC_(40.162616729736328125), SC_(1.0), SC_(0.4120302102977277191187506721340552814976e-702) }}, 
+      {{ SC_(40.170276641845703125), SC_(1.0), SC_(0.2226415732825465240782514517928537101293e-702) }}, 
+      {{ SC_(40.382472991943359375), SC_(1.0), SC_(0.8354572576931370443665770929403858031245e-710) }}, 
+      {{ SC_(40.696559906005859375), SC_(1.0), SC_(0.7225661474676652832663905782266313267167e-721) }}, 
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+      {{ SC_(85.08606719970703125), SC_(1.0), SC_(0.4856698297979953595767807992015152776328e-3146) }}, 
+      {{ SC_(85.918212890625), SC_(1.0), SC_(0.761735048565653930137023626638747177308e-3208) }}, 
+      {{ SC_(86.31143951416015625), SC_(1.0), SC_(0.2931592864000316245471343335876130048243e-3237) }}, 
+      {{ SC_(86.48769378662109375), SC_(1.0), SC_(0.1734166482219001810675374526329398742724e-3250) }}, 
+      {{ SC_(86.51556396484375), SC_(1.0), SC_(0.1396184688760208541263525791606580135888e-3252) }}, 
+      {{ SC_(86.661895751953125), SC_(1.0), SC_(0.137591974249259342744647335702120081949e-3263) }}, 
+      {{ SC_(86.67838287353515625), SC_(1.0), SC_(0.7894924978682044731133080698270675959047e-3265) }}, 
+      {{ SC_(86.699005126953125), SC_(1.0), SC_(0.2210314800408904240090566206375166498669e-3266) }}, 
+      {{ SC_(86.875640869140625), SC_(1.0), SC_(0.1067393543048809336522125654614257792709e-3279) }}, 
+      {{ SC_(87.12085723876953125), SC_(1.0), SC_(0.3141588749441732230579799060940491765735e-3298) }}, 
+      {{ SC_(87.1272430419921875), SC_(1.0), SC_(0.1032456874487975042510718930756313489085e-3298) }}, 
+      {{ SC_(87.350982666015625), SC_(1.0), SC_(0.1145259102841530225822158676931062199611e-3315) }}, 
+      {{ SC_(87.4471588134765625), SC_(1.0), SC_(0.5719031848650119145301950377270835213481e-3323) }}, 
+      {{ SC_(87.5886077880859375), SC_(1.0), SC_(0.100944910275613191627060617308017176992e-3333) }}, 
+      {{ SC_(88.114166259765625), SC_(1.0), SC_(0.790369642782630853434920273428079682513e-3374) }}, 
+      {{ SC_(88.35390472412109375), SC_(1.0), SC_(0.3336629458423611349557710086599109785783e-3392) }}, 
+      {{ SC_(88.45099639892578125), SC_(1.0), SC_(0.1168446033182320025804519666787072055362e-3399) }}, 
+      {{ SC_(88.55356597900390625), SC_(1.0), SC_(0.1521829146954713302263784465478849666514e-3407) }}, 
+      {{ SC_(88.97168731689453125), SC_(1.0), SC_(0.8788241912132849825702219058327694185942e-3440) }}, 
+      {{ SC_(89.04711151123046875), SC_(1.0), SC_(0.129507473240771950228590714535613326805e-3445) }}, 
+      {{ SC_(89.05876922607421875), SC_(1.0), SC_(0.1623712240263443145358629211111315306735e-3446) }}, 
+      {{ SC_(89.41626739501953125), SC_(1.0), SC_(0.3153753084460525420724595238130726065242e-3474) }}, 
+      {{ SC_(89.51361846923828125), SC_(1.0), SC_(0.8577730193641580987437405819558340102121e-3482) }}, 
+      {{ SC_(89.68304443359375), SC_(1.0), SC_(0.5586301300368715269248196410139332100555e-3495) }}, 
+      {{ SC_(89.70983123779296875), SC_(1.0), SC_(0.4571434971968977143179977283713339395878e-3497) }}
+   } };
diff --git a/src/boost/libs/math/test/erf_small_data.ipp b/src/boost/libs/math/test/erf_small_data.ipp
new file mode 100644
index 000000000..2b7897c05
--- /dev/null
+++ b/src/boost/libs/math/test/erf_small_data.ipp
@@ -0,0 +1,159 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 150> erf_small_data = { {
+      {{ SC_(0.0), SC_(0.0), SC_(1.0) }}, 
+      {{ SC_(0.140129846432481707092372958328991613128e-44), SC_(0.1581195994027057927040695988659415347357e-44), SC_(1.0) }}, 
+      {{ SC_(0.2802596928649634141847459166579832262561e-44), SC_(0.3162391988054115854081391977318830694715e-44), SC_(1.0) }}, 
+      {{ SC_(0.4203895392974451212771188749869748393841e-44), SC_(0.4743587982081173781122087965978246042072e-44), SC_(1.0) }}, 
+      {{ SC_(0.8407790785948902425542377499739496787682e-44), SC_(0.9487175964162347562244175931956492084145e-44), SC_(1.0) }}, 
+      {{ SC_(0.1541428310757298778016102541618907744408e-43), SC_(0.1739315593429763719744765587525356882093e-43), SC_(1.0) }}, 
+      {{ SC_(0.3222986467947079263124578041566807101945e-43), SC_(0.3636750786262233232193600773916655298922e-43), SC_(1.0) }}, 
+      {{ SC_(0.7426881860921530475895766791436555495785e-43), SC_(0.8380338768343407013315688739894901340994e-43), SC_(1.0) }}, 
+      {{ SC_(0.105097384824361280319279718746743709846e-42), SC_(0.1185896995520293445280521991494561510518e-42), SC_(1.0) }}, 
+      {{ SC_(0.210194769648722560638559437493487419692e-42), SC_(0.2371793991040586890561043982989123021036e-42), SC_(1.0) }}, 
+      {{ SC_(0.4666323886201640846176019512355420717163e-42), SC_(0.52653826601101028970455176422358531067e-42), SC_(1.0) }}, 
+      {{ SC_(0.1223333559355565302916415926212096782608e-41), SC_(0.1380384102785621570306527598099669598243e-41), SC_(1.0) }}, 
+      {{ SC_(0.2578389174357663410499662433253445681556e-41), SC_(0.2909400629009786585754880619133324239138e-41), SC_(1.0) }}, 
+      {{ SC_(0.2960943655118338470861840609491592785395e-41), SC_(0.3341067135379173399836990624037344628966e-41), SC_(1.0) }}, 
+      {{ SC_(0.7557202618103738463491673642682517695994e-41), SC_(0.8527389995787923400530473466840226968299e-41), SC_(1.0) }}, 
+      {{ SC_(0.1465898323530191137893313517079581264932e-40), SC_(0.1654089129351705297477272073736614394871e-40), SC_(1.0) }}, 
+      {{ SC_(0.4298903428855673810179817615616804707542e-40), SC_(0.4850793070476208308575447154009354402623e-40), SC_(1.0) }}, 
+      {{ SC_(0.4803791265551905400833637384476161489642e-40), SC_(0.5420497987124157279688209918723341752276e-40), SC_(0.9999999999999999999999999999999999999999) }}, 
+      {{ SC_(0.1055289847513733239771242274583970040145e-39), SC_(0.1190767079181896783695807335139632509788e-39), SC_(0.9999999999999999999999999999999999999999) }}, 
+      {{ SC_(0.2015109230653016692500450852658398094265e-39), SC_(0.227380727529073011082233205257189905196e-39), SC_(0.9999999999999999999999999999999999999998) }}, 
+      {{ SC_(0.7325049501519046019351739362618877290525e-39), SC_(0.8265433255457460713757641362399021627702e-39), SC_(0.9999999999999999999999999999999999999992) }}, 
+      {{ SC_(0.1339665153968418641693291185028075750078e-38), SC_(0.1511650250621765838235665056990208282135e-38), SC_(0.9999999999999999999999999999999999999985) }}, 
+      {{ SC_(0.2677046191439987831560976690835388936862e-38), SC_(0.3020723151773267572050253779518901717253e-38), SC_(0.999999999999999999999999999999999999997) }}, 
+      {{ SC_(0.4980653348629733537806134066371931674319e-38), SC_(0.5620065477118294341833797281540012541512e-38), SC_(0.9999999999999999999999999999999999999944) }}, 
+      {{ SC_(0.6613229117999040042200470598735932013487e-38), SC_(0.7462229963979548044442924939647721094874e-38), SC_(0.9999999999999999999999999999999999999925) }}, 
+      {{ SC_(0.1548242965319156795913711730955404935546e-37), SC_(0.1747005107668316705149757196187806484869e-37), SC_(0.9999999999999999999999999999999999999825) }}, 
+      {{ SC_(0.4146556501891822617936303213288858289615e-37), SC_(0.4678887971919177014040265951235884621123e-37), SC_(0.9999999999999999999999999999999999999532) }}, 
+      {{ SC_(0.9169899847717825977881300331923883942907e-37), SC_(0.1034712395251710806479818721979201078743e-36), SC_(0.9999999999999999999999999999999999998965) }}, 
+      {{ SC_(0.1401743180405455194869357938110469019064e-36), SC_(0.1581697802387722354144421623938376299412e-36), SC_(0.9999999999999999999999999999999999998418) }}, 
+      {{ SC_(0.1945576912957096415426581064633919119024e-36), SC_(0.2195348456562787018647206880870297955178e-36), SC_(0.9999999999999999999999999999999999997805) }}, 
+      {{ SC_(0.6257788193068770148365547155357311502081e-36), SC_(0.7061157829155071490944174116544753093472e-36), SC_(0.9999999999999999999999999999999999992939) }}, 
+      {{ SC_(0.1082390914972224343528760935165450352846e-35), SC_(0.1221347359108108275138920730258033965505e-35), SC_(0.9999999999999999999999999999999999987787) }}, 
+      {{ SC_(0.1694061057766321374547939115222498639949e-35), SC_(0.1911543205371304725231209426978241547223e-35), SC_(0.9999999999999999999999999999999999980885) }}, 
+      {{ SC_(0.4157476136990655326859281227151399960547e-35), SC_(0.469120946067698479126142569921586497913e-35), SC_(0.9999999999999999999999999999999999953088) }}, 
+      {{ SC_(0.7283681265086265937666854409047925692044e-35), SC_(0.8218754199287230086952619241467251109843e-35), SC_(0.9999999999999999999999999999999999917812) }}, 
+      {{ SC_(0.2125163494676521664376074827660149555726e-34), SC_(0.2397990214064882285432839461962890817645e-34), SC_(0.9999999999999999999999999999999999760201) }}, 
+      {{ SC_(0.2530711628583540298128114059620192234547e-34), SC_(0.2855602279620023372947687038386988804286e-34), SC_(0.999999999999999999999999999999999971444) }}, 
+      {{ SC_(0.8643572969601960480494638860332170085101e-34), SC_(0.9753227668168746390533409248013332505622e-34), SC_(0.9999999999999999999999999999999999024677) }}, 
+      {{ SC_(0.99805657801365854084424590887058919672e-34), SC_(0.1126186250213249491600342719979975982704e-33), SC_(0.9999999999999999999999999999999998873814) }}, 
+      {{ SC_(0.2285833483419143806137872349711124495646e-33), SC_(0.2579286882139527639322447178720013355598e-33), SC_(0.9999999999999999999999999999999997420713) }}, 
+      {{ SC_(0.5426235288674262982106993151912976763677e-33), SC_(0.6122850855498543097076270518307709592481e-33), SC_(0.9999999999999999999999999999999993877149) }}, 
+      {{ SC_(0.1147672787261224070426617104882286355311e-32), SC_(0.1295010063788005409890233863705470341395e-32), SC_(0.9999999999999999999999999999999987049899) }}, 
+      {{ SC_(0.22463880715206230259705675341401055879e-32), SC_(0.2534777501115735340046251758622995828684e-32), SC_(0.9999999999999999999999999999999974652225) }}, 
+      {{ SC_(0.4454556413592197901478916560693101385393e-32), SC_(0.5026428655749137894397761320610666694693e-32), SC_(0.9999999999999999999999999999999949735713) }}, 
+      {{ SC_(0.9167850888743889506336831720594191266931e-32), SC_(0.1034481194989668475298051221951978796736e-31), SC_(0.9999999999999999999999999999999896551881) }}, 
+      {{ SC_(0.2029237383788489473978179376606301463249e-31), SC_(0.2289749188958332742407712486623796907403e-31), SC_(0.9999999999999999999999999999999771025081) }}, 
+      {{ SC_(0.4422489809322529014977160404510081439987e-31), SC_(0.4990245367531747508971186530942781923233e-31), SC_(0.9999999999999999999999999999999500975463) }}, 
+      {{ SC_(0.8427819595678069227982621602322463722706e-31), SC_(0.9509776055802459297555061290310693509558e-31), SC_(0.9999999999999999999999999999999049022394) }}, 
+      {{ SC_(0.1894128825516700180187896525548839017318e-30), SC_(0.2137295506508135613325177084306249463745e-30), SC_(0.9999999999999999999999999999997862704493) }}, 
+      {{ SC_(0.3460509137323572130893969054757060828136e-30), SC_(0.390476641809958306521950254784930239331e-30), SC_(0.9999999999999999999999999999996095233582) }}, 
+      {{ SC_(0.7129452701155289322465925784842836259778e-30), SC_(0.8044725900776457681286359991257189545736e-30), SC_(0.9999999999999999999999999999991955274099) }}, 
+      {{ SC_(0.1006606281422698106765835646474453774524e-29), SC_(0.1135833557424855221443633868642206855925e-29), SC_(0.9999999999999999999999999999988641664426) }}, 
+      {{ SC_(0.2691237328241499384996035977623006944895e-29), SC_(0.3036736134897495655058606838487828118587e-29), SC_(0.9999999999999999999999999999969632638651) }}, 
+      {{ SC_(0.53002073552022827485063776974422846038e-29), SC_(0.5980643560896661370936819930965482836573e-29), SC_(0.9999999999999999999999999999940193564391) }}, 
+      {{ SC_(0.6328674258047448903166407618549998992304e-29), SC_(0.7141144188114391407566450273134713579864e-29), SC_(0.9999999999999999999999999999928588558119) }}, 
+      {{ SC_(0.2089027321727668921272023434652731888509e-28), SC_(0.2357214909330836434674323280791160963504e-28), SC_(0.9999999999999999999999999999764278509067) }}, 
+      {{ SC_(0.431842364003957104364921550167833797347e-28), SC_(0.4872819270113422778304421472654534392263e-28), SC_(0.9999999999999999999999999999512718072989) }}, 
+      {{ SC_(0.5869689191576790243963724295243864109357e-28), SC_(0.6623235001100951114675477389355052037517e-28), SC_(0.999999999999999999999999999933767649989) }}, 
+      {{ SC_(0.1659976352436858066871624892515432120194e-27), SC_(0.1873082733960948939621836113363260997334e-27), SC_(0.9999999999999999999999999998126917266039) }}, 
+      {{ SC_(0.2259797844707783785531125574841037632032e-27), SC_(0.2549908809815603534966750948985043565705e-27), SC_(0.9999999999999999999999999997450091190184) }}, 
+      {{ SC_(0.5880869455645201196495195879197812435557e-27), SC_(0.6635850578158372552104628507822996913944e-27), SC_(0.9999999999999999999999999993364149421842) }}, 
+      {{ SC_(0.1210368873588132831231840717009055000898e-26), SC_(0.136575502145771107167093316323928936418e-26), SC_(0.9999999999999999999999999986342449785423) }}, 
+      {{ SC_(0.2865917801972336300962667874631175760926e-26), SC_(0.3233841942353746978165316543252271930097e-26), SC_(0.9999999999999999999999999967661580576463) }}, 
+      {{ SC_(0.6332274308614525819994844546119106938273e-26), SC_(0.7145206410174771386698068058159747695855e-26), SC_(0.9999999999999999999999999928547935898252) }}, 
+      {{ SC_(0.1017015117562076843891927280903461796905e-25), SC_(0.1147578671278241071470420542046720634233e-25), SC_(0.9999999999999999999999999885242132872176) }}, 
+      {{ SC_(0.1732407881343339865174865944566931617746e-25), SC_(0.1954812962219899413849001377507194449177e-25), SC_(0.999999999999999999999999980451870377801) }}, 
+      {{ SC_(0.4851304131156321593400980501390172514877e-25), SC_(0.5474110514841189450665720204629142546924e-25), SC_(0.9999999999999999999999999452588948515881) }}, 
+      {{ SC_(0.8195642344688286703600152101217105477795e-25), SC_(0.9247792082712082720339044529059539700692e-25), SC_(0.9999999999999999999999999075220791728792) }}, 
+      {{ SC_(0.1869609713097047478340985963996916097412e-24), SC_(0.2109628650858126659649010477127478351642e-24), SC_(0.9999999999999999999999997890371349141873) }}, 
+      {{ SC_(0.2530783866565756141965447805546793991855e-24), SC_(0.2855683791454228747266674274313813542172e-24), SC_(0.9999999999999999999999997144316208545771) }}, 
+      {{ SC_(0.4209414052294289885709092151366397306124e-24), SC_(0.474981512228797723082223866616547403578e-24), SC_(0.9999999999999999999999995250184877712023) }}, 
+      {{ SC_(0.1448614172287997697834930368987483835595e-23), SC_(0.1634586053169086194558576878083327447891e-23), SC_(0.9999999999999999999999983654139468309138) }}, 
+      {{ SC_(0.3012998612797836509437815728233749567808e-23), SC_(0.3399804865168757552575507775525287643073e-23), SC_(0.9999999999999999999999966001951348312424) }}, 
+      {{ SC_(0.415276141474016400714459480565419005095e-23), SC_(0.4685889466310888715323687240479993998499e-23), SC_(0.9999999999999999999999953141105336891113) }}, 
+      {{ SC_(0.1204931390183540503963647385927016736362e-22), SC_(0.1359619478462541509417967524360939547446e-22), SC_(0.9999999999999999999999864038052153745849) }}, 
+      {{ SC_(0.1993117661558407300079387840940773127252e-22), SC_(0.2248992446872631349043635494217604899453e-22), SC_(0.9999999999999999999999775100755312736865) }}, 
+      {{ SC_(0.5135333031694984418963713908106404060216e-22), SC_(0.5794602809062059992419407432753169472345e-22), SC_(0.9999999999999999999999420539719093794001) }}, 
+      {{ SC_(0.899483690375495720736892890190099236758e-22), SC_(0.1014958657361899781022539075381620547142e-21), SC_(0.9999999999999999999998985041342638100219) }}, 
+      {{ SC_(0.1495718898928958003798630318006718936674e-21), SC_(0.1687738045382474786366114844967457859701e-21), SC_(0.9999999999999999999998312261954617525214) }}, 
+      {{ SC_(0.4004143349189545415674843981449458618638e-21), SC_(0.4518191937289535418778128853745495698362e-21), SC_(0.9999999999999999999995481808062710464581) }}, 
+      {{ SC_(0.6027338573124474618509081343250763374009e-21), SC_(0.6801123278944849878208640332552941589305e-21), SC_(0.9999999999999999999993198876721055150122) }}, 
+      {{ SC_(0.1659584418309930229572620634728719046791e-20), SC_(0.1872640483657249799664013537449399617766e-20), SC_(0.9999999999999999999981273595163427502003) }}, 
+      {{ SC_(0.2678244821868696143277384944057090132574e-20), SC_(0.3022075661378068793988187051769889525453e-20), SC_(0.999999999999999999996977924338621931206) }}, 
+      {{ SC_(0.5242169890349582687359968492107897830579e-20), SC_(0.5915155294645836590589096407129433743023e-20), SC_(0.9999999999999999999940848447053541634094) }}, 
+      {{ SC_(0.7847303335957885127235572164487720225878e-20), SC_(0.8854733602173995706713015709887803225844e-20), SC_(0.9999999999999999999911452663978260042933) }}, 
+      {{ SC_(0.1543123850410999503479436223765675073594e-19), SC_(0.1741228805051983958166845695046398116561e-19), SC_(0.9999999999999999999825877119494801604183) }}, 
+      {{ SC_(0.4775181844358503128246959748559596903306e-19), SC_(0.5388215712266861317995086503415856707862e-19), SC_(0.99999999999999999994611784287733138682) }}, 
+      {{ SC_(0.6230335359741914917030257154567651767252e-19), SC_(0.7030180623951302655508677093605170542092e-19), SC_(0.9999999999999999999296981937604869734449) }}, 
+      {{ SC_(0.1333737877121347004096484859664295541393e-18), SC_(0.1504962034909922627946995932175931040167e-18), SC_(0.9999999999999999998495037965090077372053) }}, 
+      {{ SC_(0.272678641362033605222928850375652132243e-18), SC_(0.3076848982248274637704507517821273969355e-18), SC_(0.9999999999999999996923151017751725362295) }}, 
+      {{ SC_(0.7848472665613653936552990969532928033914e-18), SC_(0.885605304939703219820034216816760452174e-18), SC_(0.99999999999999999911439469506029678018) }}, 
+      {{ SC_(0.1596567770068200412154901801642381542479e-17), SC_(0.180153381060109581137526939833213468117e-17), SC_(0.9999999999999999981984661893989041886247) }}, 
+      {{ SC_(0.3449535060248237706634344412748305330751e-17), SC_(0.3892383498149675248979402679995676281369e-17), SC_(0.9999999999999999961076165018503247510206) }}, 
+      {{ SC_(0.4351665680924082666098176574998035448516e-17), SC_(0.4910328896519242978931639720387530850973e-17), SC_(0.9999999999999999950896711034807570210684) }}, 
+      {{ SC_(0.9245716998221635790720235315021113819967e-17), SC_(0.1043267444565415210292590191714661224142e-16), SC_(0.9999999999999999895673255543458478970741) }}, 
+      {{ SC_(0.2517825949792599072966925444205799067277e-16), SC_(0.2841062348118440801806623646517627970916e-16), SC_(0.9999999999999999715893765188155919819338) }}, 
+      {{ SC_(0.3607757836945135819072677518803970997396e-16), SC_(0.4070918783134460417227759258926655100437e-16), SC_(0.9999999999999999592908121686553958277224) }}, 
+      {{ SC_(0.6902950590186084176697045577952849271242e-16), SC_(0.7789145637455650616639975178325762794953e-16), SC_(0.9999999999999999221085436254434938336002) }}, 
+      {{ SC_(0.1125254418367572150846966927417724946281e-15), SC_(0.1269713643368146509171410927223650268325e-15), SC_(0.9999999999999998730286356631853490828589) }}, 
+      {{ SC_(0.4283825720300077181945663795659129391424e-15), SC_(0.4833779698254535301267982815421810779873e-15), SC_(0.9999999999999995166220301745464698732017) }}, 
+      {{ SC_(0.5405621861962687634689528337617048237007e-15), SC_(0.6099591094234751315857573573713433261908e-15), SC_(0.9999999999999993900408905765248684142426) }}, 
+      {{ SC_(0.1199026382331771015121724133223324315622e-14), SC_(0.1352956390621069391623702837955015493166e-14), SC_(0.9999999999999986470436093789306083762972) }}, 
+      {{ SC_(0.3388160376379171188909733558602965786122e-14), SC_(0.3823129583484747580613317941389808261798e-14), SC_(0.9999999999999961768704165152524193866821) }}, 
+      {{ SC_(0.4251160106447451902944578705501044169068e-14), SC_(0.4796920500102846351328633565382312006865e-14), SC_(0.9999999999999952030794998971536486713664) }}, 
+      {{ SC_(0.1313415386649738336721782161475857719779e-13), SC_(0.1482030560038262349331825316596395555414e-13), SC_(0.9999999999999851796943996173765066817468) }}, 
+      {{ SC_(0.1777897084111537684414372506580548360944e-13), SC_(0.2006142030951317354054567215576954023455e-13), SC_(0.9999999999999799385796904868264594543278) }}, 
+      {{ SC_(0.5556494121154026410991377815662417560816e-13), SC_(0.6269832208398892455680747006005262348402e-13), SC_(0.9999999999999373016779160110754431925299) }}, 
+      {{ SC_(0.9186150917630392376267423060198780149221e-13), SC_(0.1036546132124946068175722614185676168866e-12), SC_(0.9999999999998963453867875053931824277386) }}, 
+      {{ SC_(0.2022372612257850033046224780264310538769e-12), SC_(0.228200312377628882307346737694658892409e-12), SC_(0.9999999999997717996876223711176926532623) }}, 
+      {{ SC_(0.334987083645127414754938399710226804018e-12), SC_(0.3779924464312436744509548821977467036951e-12), SC_(0.9999999999996220075535687563255490451178) }}, 
+      {{ SC_(0.9037920151860889816930466622579842805862e-12), SC_(0.1019820081323253936787897658201809797801e-11), SC_(0.9999999999989801799186767460632121023418) }}, 
+      {{ SC_(0.1229327186921813641617973189568147063255e-11), SC_(0.1387147187266705574841551295246781201059e-11), SC_(0.9999999999986128528127332944251584487048) }}, 
+      {{ SC_(0.1941944651959182088774014118826016783714e-11), SC_(0.2191249888923286935404641309633986461335e-11), SC_(0.9999999999978087501110767130645953586904) }}, 
+      {{ SC_(0.6660515888823326235979038756340742111206e-11), SC_(0.7515587371056892484340940489030914565555e-11), SC_(0.999999999992484412628943107515659059511) }}, 
+      {{ SC_(0.1305013996172332824130535300355404615402e-10), SC_(0.1472550606048923346284018897482637545021e-10), SC_(0.9999999999852744939395107665371598110252) }}, 
+      {{ SC_(0.2306862860457226105381778324954211711884e-10), SC_(0.2603015993086296441348608813996585159423e-10), SC_(0.99999999997396984006913703558651391186) }}, 
+      {{ SC_(0.464061636340495908825687365606427192688e-10), SC_(0.5236374826948694233006052031278254256924e-10), SC_(0.9999999999476362517305130576699394796872) }}, 
+      {{ SC_(0.9020578728424766268290113657712936401367e-10), SC_(0.1017863311229943567634007843433802039614e-9), SC_(0.9999999998982136688770056432365992156566) }}, 
+      {{ SC_(0.2017243178054073382554634008556604385376e-9), SC_(0.2276215177081760092443407256160138975684e-9), SC_(0.999999999772378482291823990755659274384) }}, 
+      {{ SC_(0.4463814318178549456206383183598518371582e-9), SC_(0.5036875082415334987251679342248332272253e-9), SC_(0.9999999994963124917584665012748320657752) }}, 
+      {{ SC_(0.7894043196898792302818037569522857666016e-9), SC_(0.8907473887532656624292837310188997818123e-9), SC_(0.9999999991092526112467343375707162689811) }}, 
+      {{ SC_(0.1197530963281678850762546062469482421875e-8), SC_(0.1351268990918867631962395950793232393347e-8), SC_(0.9999999986487310090811323680376040492068) }}, 
+      {{ SC_(0.3128908243610339923179708421230316162109e-8), SC_(0.3530594877843318503414910172348506997629e-8), SC_(0.9999999964694051221566814965850898276515) }}, 
+      {{ SC_(0.654608101058329339139163494110107421875e-8), SC_(0.7386461438461727721842489523977686137653e-8), SC_(0.9999999926135385615382722781575104760223) }}, 
+      {{ SC_(0.1037359531608217366738244891166687011719e-7), SC_(0.1170534884254671319566985248995045101925e-7), SC_(0.9999999882946511574532868043301475100495) }}, 
+      {{ SC_(0.2613260008388351707253605127334594726563e-7), SC_(0.2948748151669259830348980474563029807727e-7), SC_(0.9999999705125184833074016965101952543697) }}, 
+      {{ SC_(0.4653804097642932902090251445770263671875e-7), SC_(0.525125559152401230823420797240431154212e-7), SC_(0.9999999474874440847598769176579202759569) }}, 
+      {{ SC_(0.8228098380413939594291150569915771484375e-7), SC_(0.9284414797271396176853241560056526014051e-7), SC_(0.9999999071558520272860382314675843994347) }}, 
+      {{ SC_(0.1440129295815495424903929233551025390625e-6), SC_(0.1625011895322124534932667008476984221693e-6), SC_(0.9999998374988104677875465067332991523016) }}, 
+      {{ SC_(0.373797803376874071545898914337158203125e-6), SC_(0.4217856540365096975937056642610100404098e-6), SC_(0.99999957821434596349030240629433573899) }}, 
+      {{ SC_(0.72830744102247990667819976806640625e-6), SC_(0.8218069436902647194923144120911901417405e-6), SC_(0.9999991781930563097352805076855879088099) }}, 
+      {{ SC_(0.10260146154905669391155242919921875e-5), SC_(0.1157733517254662264894221065154775581876e-5), SC_(0.9999988422664827453377351057789348452244) }}, 
+      {{ SC_(0.2678315240700612775981426239013671875e-5), SC_(0.3022155120513748374723247514313931180799e-5), SC_(0.9999969778448794862516252767524856860688) }}, 
+      {{ SC_(0.40205004552262835204601287841796875e-5), SC_(0.4536648954950918836538342339896039137139e-5), SC_(0.9999954633510450490811634616576601039609) }}, 
+      {{ SC_(0.10320758519810624420642852783203125e-4), SC_(0.1164572890196433412287423508862147085112e-4), SC_(0.9999883542710980356658771257649113785291) }}, 
+      {{ SC_(0.233581158681772649288177490234375e-4), SC_(0.2635681132346089850308780034445740445022e-4), SC_(0.9999736431886765391014969121996555425955) }}, 
+      {{ SC_(0.4860912667936645448207855224609375e-4), SC_(0.5484952583250342934869652426491962534587e-4), SC_(0.9999451504741674965706513034757350803747) }}, 
+      {{ SC_(0.0001085917465388774871826171875), SC_(0.0001225326640313436930517738593548252912385), SC_(0.9998774673359686563069482261406451747088) }}, 
+      {{ SC_(0.000165569479577243328094482421875), SC_(0.0001868251497546456322442598271644064384812), SC_(0.9998131748502453543677557401728355935615) }}, 
+      {{ SC_(0.0004721705918200314044952392578125), SC_(0.0005327874195307728646012144512357625925006), SC_(0.9994672125804692271353987855487642374075) }}, 
+      {{ SC_(0.00095945619978010654449462890625), SC_(0.001082630055365222472802272152269070171599), SC_(0.9989173699446347775271977278477309298284) }}, 
+      {{ SC_(0.0011034240014851093292236328125), SC_(0.001245080150435437151082626328085359462604), SC_(0.9987549198495645628489173736719146405374) }}, 
+      {{ SC_(0.00225476245395839214324951171875), SC_(0.002544222668224971136268866790058243266433), SC_(0.9974557773317750288637311332099417567336) }}, 
+      {{ SC_(0.006128217093646526336669921875), SC_(0.0069148659371010946376763193961158375309), SC_(0.9930851340628989053623236806038841624691) }}, 
+      {{ SC_(0.01089772023260593414306640625), SC_(0.01229627370763712993609092392080824128196), SC_(0.987703726292362870063909076079191758718) }}, 
+      {{ SC_(0.0229592286050319671630859375), SC_(0.02590216393432758991206927422057375200344), SC_(0.9740978360656724100879307257794262479966) }}, 
+      {{ SC_(0.043352998793125152587890625), SC_(0.04888799071126766325637634356499925915047), SC_(0.9511120092887323367436236564350007408495) }}, 
+      {{ SC_(0.06324388086795806884765625), SC_(0.07126804593959971882312270799434219648871), SC_(0.9287319540604002811768772920056578035113) }}, 
+      {{ SC_(0.2158693373203277587890625), SC_(0.2398511631288111077158786048968679107576), SC_(0.7601488368711888922841213951031320892424) }}, 
+      {{ SC_(0.334280669689178466796875), SC_(0.3636043520990431448970776140491250415292), SC_(0.6363956479009568551029223859508749584708) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/erfc_inv_big_data.ipp b/src/boost/libs/math/test/erfc_inv_big_data.ipp
new file mode 100644
index 000000000..3919b48bf
--- /dev/null
+++ b/src/boost/libs/math/test/erfc_inv_big_data.ipp
@@ -0,0 +1,208 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> erfc_inv_big_data = { {
+      {{ SC_(0.5460825444184401149953083908674803067585e-4312), SC_(99.62016927389407649911084501709563799849) }}, 
+      {{ SC_(0.2645475979732877501542006305722535728925e-4291), SC_(99.38083815930157675670279543643240126733) }}, 
+      {{ SC_(0.4647218972549971591905525747707221131215e-4281), SC_(99.26209205835381203650501813598769577392) }}, 
+      {{ SC_(0.1525121257807440558802279626797226161005e-4243), SC_(98.82602533559047574603223381461761500878) }}, 
+      {{ SC_(0.1981708500756372844759510276075956268897e-4234), SC_(98.71980149740490464004477100962342642155) }}, 
+      {{ SC_(0.3841754068409692466399340503654464602243e-4180), SC_(98.08467819532462847486581213069198608289) }}, 
+      {{ SC_(0.5335004017651487579647125338582580235046e-4091), SC_(97.03275964437690000965320992419441429924) }}, 
+      {{ SC_(0.1806383895924070461510470704435189756123e-4076), SC_(96.86022098874718527180735862424264805433) }}, 
+      {{ SC_(0.1321513657594592521699131916159148731226e-4066), SC_(96.7429083707271579347385166737183074303) }}, 
+      {{ SC_(0.1054920495502343332517378247415093412624e-4043), SC_(96.46999015250599733880053488460821308812) }}, 
+      {{ SC_(0.47363892632169499253148937212672347289e-4043), SC_(96.46220643869959630846141605535921442023) }}, 
+      {{ SC_(0.4750819439081903839348296656606873483722e-4000), SC_(95.94763372873564880985964950938277645413) }}, 
+      {{ SC_(0.5934696803923580795229088781443547003391e-3998), SC_(95.92247396394370347463100485254034797278) }}, 
+      {{ SC_(0.2809661603171360146097006130839773212914e-3996), SC_(95.90236599111862577117586443056337455754) }}, 
+      {{ SC_(0.201344506190345013258215914381814651279e-3981), SC_(95.72387427307012892119049758800169512382) }}, 
+      {{ SC_(0.1349680361063247504563298949422573179728e-3978), SC_(95.68987765258188263846875190956134957764) }}, 
+      {{ SC_(0.9554154264888789862328696045397641686626e-3961), SC_(95.47488611856686267812468521780070611561) }}, 
+      {{ SC_(0.4565370419999699854685454921616341777152e-3921), SC_(94.99523139627283958425843803677334678489) }}, 
+      {{ SC_(0.9326136640408284179797117117017987832624e-3838), SC_(93.98018858040542889098559401088499617323) }}, 
+      {{ SC_(0.2085705673165100591822581196874037577838e-3788), SC_(93.37371566951938600144821032880068555931) }}, 
+      {{ SC_(0.28906230618616666278153940715368369251e-3788), SC_(93.37196812654735398207358428222836165935) }}, 
+      {{ SC_(0.540152632181355759951616925660164590124e-3750), SC_(92.89890240230691810677222482470759338646) }}, 
+      {{ SC_(0.1373243759745268803582425259844487470076e-3682), SC_(92.05981131540500971264194940023399842876) }}, 
+      {{ SC_(0.3331647658738942966983713783383120828716e-3653), SC_(91.69161143487247689253830777510103757803) }}, 
+      {{ SC_(0.134842155208242065478707324403653741427e-3641), SC_(91.54576292987357613504022634708802175022) }}, 
+      {{ SC_(0.7492191291954483620899871520373510239375e-3623), SC_(91.30973569873630381671516956816451328373) }}, 
+      {{ SC_(0.2551662007977519576358324440130450442778e-3575), SC_(90.70847518912252606205543434018735665529) }}, 
+      {{ SC_(0.6190686739111601149790106116510494551314e-3563), SC_(90.55115617451523669098548678613430984841) }}, 
+      {{ SC_(0.9276632609820886396580236856359763026966e-3447), SC_(89.06191184952516547664083098302741022803) }}, 
+      {{ SC_(0.6433072193358217453796447947689324967478e-3351), SC_(87.8143275613841604460220844122740180476) }}, 
+      {{ SC_(0.3653541017426498234750653436978737170327e-3338), SC_(87.64696333406539636312319479272468979115) }}, 
+      {{ SC_(0.2789596742720445243557533363147985407484e-3305), SC_(87.21398755358298377575097222058344254911) }}, 
+      {{ SC_(0.443825473802222651705813573190067261172e-3131), SC_(84.88340554604607048910870088690204110131) }}, 
+      {{ SC_(0.3345784652046112831225855034049282590715e-3126), SC_(84.81723263217786918755009758623351862559) }}, 
+      {{ SC_(0.2414445336524691790354556146640969706061e-3069), SC_(84.0419598414264046587129844579410948894) }}, 
+      {{ SC_(0.8478603490304246265311990779170856959861e-3028), SC_(83.47092766845828325139370216002957076776) }}, 
+      {{ SC_(0.14740427247445948990191590432902058536e-2997), SC_(83.05281564078241081289202980345540186102) }}, 
+      {{ SC_(0.1329036517699801662619770631013011165738e-2944), SC_(82.31552494008283774947792893056404158871) }}, 
+      {{ SC_(0.1706141285384843345987169410441595650031e-2933), SC_(82.16002264325748303060260330185689090281) }}, 
+      {{ SC_(0.8373844481146949976640588846233709740831e-2929), SC_(82.09426838736262780476565867158939922013) }}, 
+      {{ SC_(0.6495088549453856516509184167801252067894e-2926), SC_(82.05373670564597872871969963977451713693) }}, 
+      {{ SC_(0.1833720938105362893360888392913141441369e-2882), SC_(81.44184518033949369735162216055497263014) }}, 
+      {{ SC_(0.2333520177487467820415573739119469955902e-2879), SC_(81.39794775935971788819430665383756478382) }}, 
+      {{ SC_(0.2894427653993793412567889456980821259226e-2847), SC_(80.94277839157518781341184937011412770395) }}, 
+      {{ SC_(0.2604952067990663450155633194749904382233e-2836), SC_(80.78683208931494064074748747620852519014) }}, 
+      {{ SC_(0.8678138849264725191436450361584810016324e-2832), SC_(80.72235938139247087444254555436435678849) }}, 
+      {{ SC_(0.3682667903200544588455731527142145038363e-2781), SC_(79.99708530932539906643334265914340895581) }}, 
+      {{ SC_(0.4588121885193651068401508885826145226945e-2766), SC_(79.77955734877589476980263452200168409691) }}, 
+      {{ SC_(0.7764413237799866858364453900343995777469e-2765), SC_(79.76182876388495108788138224124277407448) }}, 
+      {{ SC_(0.2423421525461451159440550098196593570056e-2760), SC_(79.69693586691073000502029265856910229446) }}, 
+      {{ SC_(0.5878986254507577903335876253702952707265e-2746), SC_(79.48887849840574283826340114327272440985) }}, 
+      {{ SC_(0.1673845625470905295897015228985949168928e-2737), SC_(79.36634262823360407978363436458177566234) }}, 
+      {{ SC_(0.6698391998725201197546429856824581586977e-2735), SC_(79.32858818851906731315743566169843426962) }}, 
+      {{ SC_(0.2515130355594925802647014162660517938496e-2725), SC_(79.18952171986121353050089556124781639244) }}, 
+      {{ SC_(0.2461647325252598254899739145066165462755e-2636), SC_(77.88509727460664014637457387303638162253) }}, 
+      {{ SC_(0.1641105794585019759166735829835878355641e-2634), SC_(77.85813389734403078489439365068353770847) }}, 
+      {{ SC_(0.6351595345143555864526860293158388570963e-2601), SC_(77.35991719682138597284770268761692627695) }}, 
+      {{ SC_(0.9223028410198721360701049566280075593579e-2545), SC_(76.51960497818744876859269133142591483997) }}, 
+      {{ SC_(0.5002814464212067387766735395165041257035e-2533), SC_(76.34286436673947487064698531398136817799) }}, 
+      {{ SC_(0.1185824625931586847282481488476410873355e-2519), SC_(76.14091514413348192509930444973601480465) }}, 
+      {{ SC_(0.257414900548022702014576953401369926289e-2493), SC_(75.74167889782762540410788473501883567486) }}, 
+      {{ SC_(0.9183566141599824732209230606531307948203e-2490), SC_(75.68766731518135433104337024242062602941) }}, 
+      {{ SC_(0.2932809029313999449803475825227510422988e-2473), SC_(75.43622352043665347320282000269125370548) }}, 
+      {{ SC_(0.5498724163832736366794865810754062391466e-2467), SC_(75.34043418668345319181733147217173430757) }}, 
+      {{ SC_(0.6795395146348654066574869189625572073492e-2451), SC_(75.09414895042043847993638837712888889371) }}, 
+      {{ SC_(0.4232772623968377298803745728444220344828e-2398), SC_(74.2804044020029126990405093970664224902) }}, 
+      {{ SC_(0.437705010214781194544970904918846009988e-2382), SC_(74.0317968899859238324605680410762845653) }}, 
+      {{ SC_(0.7328784181257135130009299062120147357384e-2332), SC_(73.24665809155865681149475856856425835323) }}, 
+      {{ SC_(0.8195784402152374810490855567845040936044e-2295), SC_(72.6620497559170838922485865519610574788) }}, 
+      {{ SC_(0.8987013844942659551846558843047951168834e-2288), SC_(72.55042905061235174343554742739711560742) }}, 
+      {{ SC_(0.2390567310984670056453397739020313330694e-2193), SC_(71.03636046035780611691848769848245798184) }}, 
+      {{ SC_(0.4332167143233490736155663100970351222456e-2185), SC_(70.90240600026913612396368503494705740935) }}, 
+      {{ SC_(0.108890416531056942890760795215821213854e-2164), SC_(70.57040795030909610470208299858512551923) }}, 
+      {{ SC_(0.5060627104045047637085866910481125331788e-2163), SC_(70.54320633525883330072442815574897293795) }}, 
+      {{ SC_(0.3691223561779676390769470042383461854014e-2122), SC_(69.87319260661719659265781125754219708719) }}, 
+      {{ SC_(0.6969547608629390600217634449465487521466e-2099), SC_(69.48865744111861740557954052160177140024) }}, 
+      {{ SC_(0.1920331015960815466646483904103550820861e-2096), SC_(69.44822094478638613766926468731012767531) }}, 
+      {{ SC_(0.6083975528963974425124099594841117907605e-2016), SC_(68.1007710158724367714118546612371304706) }}, 
+      {{ SC_(0.7700980458334894771243720474212758259757e-2007), SC_(67.94673150215833308050516745181191739631) }}, 
+      {{ SC_(0.3784507382437993534366757035181644553005e-2006), SC_(67.93501557417646729265187361704446762791) }}, 
+      {{ SC_(0.1933058527290172128745148456282632896472e-2000), SC_(67.8382198195958948309248955546035843938) }}, 
+      {{ SC_(0.3073129169339213242656468129490128120275e-1912), SC_(66.32462247762686573271005635222158246919) }}, 
+      {{ SC_(0.3563704808140633534254743351059329459844e-1867), SC_(65.53779859486217889665515029788703171428) }}, 
+      {{ SC_(0.1117328435404434848431164536157383381954e-1865), SC_(65.5115114749327337441199600755950731015) }}, 
+      {{ SC_(0.162291367493531393505178202172746460504e-1863), SC_(65.47350810130320090152901346075787089108) }}, 
+      {{ SC_(0.7291877778593992272357923862974438803504e-1814), SC_(64.59461716634387479104306278695990989692) }}, 
+      {{ SC_(0.1103697274312455454535522513124420450513e-1800), SC_(64.35930484119184106703256655579503018943) }}, 
+      {{ SC_(0.2787184985694988691274106077027481674296e-1777), SC_(63.93935283526837024038868862230807595467) }}, 
+      {{ SC_(0.2242899394948684173448369886336215330859e-1736), SC_(63.19860571879709151914226858360392775225) }}, 
+      {{ SC_(0.6373703493315477830264234158158397230918e-1648), SC_(61.5663708938977044791256528616543682363) }}, 
+      {{ SC_(0.1130761791970139872085460502062402383311e-1534), SC_(59.4111793960172436477860564668325556624) }}, 
+      {{ SC_(0.5186477168932786698797072956323906176672e-1526), SC_(59.24311964529112251267296011750890265511) }}, 
+      {{ SC_(0.2371756563156473396673371175154689282089e-1487), SC_(58.48710687097943040207443293838886041518) }}, 
+      {{ SC_(0.2474530000251364788339443399087025927602e-1487), SC_(58.48674428195209156566913277116595315737) }}, 
+      {{ SC_(0.1620952363661926127361288574589236587446e-1465), SC_(58.05577331395656272747602508275617390989) }}, 
+      {{ SC_(0.2122625807107458215797391334648973459688e-1429), SC_(57.33517766371867417445655972866006304427) }}, 
+      {{ SC_(0.6243197332907990298222556346398382173979e-1405), SC_(56.8418011386019473870793880887159457241) }}, 
+      {{ SC_(0.5516957459853521159388169416018722269647e-1400), SC_(56.74154440911648902947449827969373477014) }}, 
+      {{ SC_(0.2926235914834555267234269989321844626118e-1369), SC_(56.11477468249401615221533062929223131088) }}, 
+      {{ SC_(0.3794627523015867743608205312364027747225e-1312), SC_(54.93070214218908343008136754660768021631) }}, 
+      {{ SC_(0.318880483330771111942926508195676807607e-1300), SC_(54.68024803482526161939511993227336637443) }}, 
+      {{ SC_(0.3369469880227599686172744089074258905398e-1300), SC_(54.67974419399797522074814528351877319048) }}, 
+      {{ SC_(0.1302713766629726626489873195118034634277e-1298), SC_(54.64631892482891526341853652123547792494) }}, 
+      {{ SC_(0.2469170628653646881926626888059718255132e-1223), SC_(53.03693750856997083336291247307325166587) }}, 
+      {{ SC_(0.1371607091728437802604087975394383012252e-1207), SC_(52.69411504628090115129531887668248361258) }}, 
+      {{ SC_(0.1731629169156886034424126010604259325511e-1111), SC_(50.55126123375417963154846480444273825353) }}, 
+      {{ SC_(0.1988578488030194560097782052960341565225e-1101), SC_(50.32166883510982608447898399736737553384) }}, 
+      {{ SC_(0.2274776484360344132543141099781042532126e-1078), SC_(49.79143524779148474319978052812994435046) }}, 
+      {{ SC_(0.5627666511768513324968956052244126556016e-1045), SC_(49.01338231598138050658354300270473769631) }}, 
+      {{ SC_(0.1825674918577823738426304992234296317652e-1041), SC_(48.93085667837639283695386917651720233174) }}, 
+      {{ SC_(0.3802925527627705362359485795331572740116e-1032), SC_(48.71115012911996883239788333878826905934) }}, 
+      {{ SC_(0.704333512302902280929638896129066471028e-1023), SC_(48.49165994415978768781022851843247093366) }}, 
+      {{ SC_(0.1313561715183354223096034930474262234265e-978), SC_(47.429170762115701641491822625509511735) }}, 
+      {{ SC_(0.1479971733547495818402245675295016370485e-972), SC_(47.28207432819548183826826245137119654147) }}, 
+      {{ SC_(0.1347434440250964238000754812764303681229e-956), SC_(46.89195339639151403964904162145015071721) }}, 
+      {{ SC_(0.1121116975652110010815188524143927325837e-910), SC_(45.75090030899601472255890798805286514432) }}, 
+      {{ SC_(0.6537208325713531384544436742840979538836e-903), SC_(45.55510822465697895367331173242574718725) }}, 
+      {{ SC_(0.5260776239804675672628897143432967891746e-862), SC_(44.50957576907949796448736564849939576426) }}, 
+      {{ SC_(0.9950661094879265377710346605980409852453e-836), SC_(43.8248018686713805421278904903492358615) }}, 
+      {{ SC_(0.2062512012152859485600938747081581263563e-777), SC_(42.26547837659956767422521162018458102221) }}, 
+      {{ SC_(0.1860519246978454733361447959343549701547e-773), SC_(42.15763210320445259646388169147606822404) }}, 
+      {{ SC_(0.292259268934242545722820123169012540872e-772), SC_(42.12496313029953419941505368125427033208) }}, 
+      {{ SC_(0.2655070971534510004697091453590968778995e-739), SC_(41.21462174108933535284728637920523260807) }}, 
+      {{ SC_(0.2901429667218951401071997769907995675312e-725), SC_(40.82070209799865627866597450674844815644) }}, 
+      {{ SC_(0.2691466393457144658729027931985645462202e-709), SC_(40.36799005611971249179085189213378251021) }}, 
+      {{ SC_(0.3197098867400748771350059689777583564847e-690), SC_(39.82043439287531202279866114834532850691) }}, 
+      {{ SC_(0.509206568051986013963235738541488132177e-677), SC_(39.43700823628539555409237521877515418161) }}, 
+      {{ SC_(0.3582760294415859512291360611861492812312e-668), SC_(39.17795922357671427001830102855480201337) }}, 
+      {{ SC_(0.7456401788156278694200104791854742334257e-668), SC_(39.16860717559069454303739314459059279729) }}, 
+      {{ SC_(0.1879442582827104576451480885999452191966e-655), SC_(38.80249559566898835529327655718231853047) }}, 
+      {{ SC_(0.3684861623635251188317018685920580219909e-651), SC_(38.67497066678513891028432141977632830295) }}, 
+      {{ SC_(0.5300532049641075447010094275260357817648e-632), SC_(38.10059865129674828052108905587617617209) }}, 
+      {{ SC_(0.254919090870011244639387672109478129648e-628), SC_(37.98921207590422610976320034158408446716) }}, 
+      {{ SC_(0.1261526994355170599813296346837863228294e-566), SC_(36.07180567207263624533709617168647173026) }}, 
+      {{ SC_(0.3348102113183452824057762060804616114175e-551), SC_(35.57631428343251267029769551692709310927) }}, 
+      {{ SC_(0.3615878633639651283997811017708582782249e-540), SC_(35.21759342981655987654847385348063502236) }}, 
+      {{ SC_(0.8556456214239050595803534051499578042028e-537), SC_(35.10716335050071391896400132832542452084) }}, 
+      {{ SC_(0.109310372545754088817907678327638735624e-531), SC_(34.93937406241154814427167189866546786437) }}, 
+      {{ SC_(0.6542713735351179620273602253478996592612e-503), SC_(33.97831683163889299935986132301256667123) }}, 
+      {{ SC_(0.2612280308120653787093215442892321688194e-493), SC_(33.65156678099809689208816819469703821624) }}, 
+      {{ SC_(0.1022554993887925308488446602367781896336e-479), SC_(33.18348488984914247206612191269120081123) }}, 
+      {{ SC_(0.2031774862883333653515762991534010669034e-436), SC_(31.64637875978842562095759897711662201891) }}, 
+      {{ SC_(0.6588827942394778508739583209849917530674e-435), SC_(31.59139083855039387728200786192864837174) }}, 
+      {{ SC_(0.3663469071718277378831360961951773982499e-412), SC_(30.75175430540050080137890276895073229866) }}, 
+      {{ SC_(0.1361305298482799765369196276048348425522e-395), SC_(30.12535428053783863012447180563559906292) }}, 
+      {{ SC_(0.3744171560141971093473580527502555697533e-390), SC_(29.91687192152261750809710487517869880922) }}, 
+      {{ SC_(0.6874405809297488106605573621300258853644e-383), SC_(29.63617622599272249872842949718868018609) }}, 
+      {{ SC_(0.1459704391344155418984387882925473942446e-354), SC_(28.51518995595697899285114107951299228827) }}, 
+      {{ SC_(0.143123157725799928952051937462499680388e-336), SC_(27.77976460222037023739857761278401004959) }}, 
+      {{ SC_(0.9025996658203895649285047801834901806925e-333), SC_(27.62194204731470015756869063464069373815) }}, 
+      {{ SC_(0.1293287994487535182921055345118992149121e-330), SC_(27.53198333089873848069767951797741434292) }}, 
+      {{ SC_(0.1040364789689237257780791904879173249974e-287), SC_(25.67656975866313564221220720210665888424) }}, 
+      {{ SC_(0.2450719147172718682892603854216257656211e-282), SC_(25.43473899116627259523415573506406682191) }}, 
+      {{ SC_(0.1540635014300999959290867576988859893076e-280), SC_(25.35326739382267978364899192426764093558) }}, 
+      {{ SC_(0.1611739209855438499046222515484436760851e-273), SC_(25.03273169525729329624232590800413859205) }}, 
+      {{ SC_(0.2781078901633922872827030068281452871724e-257), SC_(24.27512000889987237167959986465966890736) }}, 
+      {{ SC_(0.8837820681846044382839818307987545000847e-230), SC_(22.93495456229819340317355998004446065241) }}, 
+      {{ SC_(0.2845511846316072211634522373099423142668e-217), SC_(22.29887672117465208331735160799934601323) }}, 
+      {{ SC_(0.662011186385949636511655220013184768187e-212), SC_(22.02033498263166080103335807537366542004) }}, 
+      {{ SC_(0.1113036584088835972703336205837326051999e-204), SC_(21.63966022176108818726656867477709317659) }}, 
+      {{ SC_(0.891278753475701910699424577762349195273e-195), SC_(21.10677883438545215904960900943812596651) }}, 
+      {{ SC_(0.1243375606125932867518669565282002251187e-191), SC_(20.93474611896499049089384377937974962862) }}, 
+      {{ SC_(0.963481566993839758726177317091390488753e-188), SC_(20.72000418866581389344212197908962674052) }}, 
+      {{ SC_(0.1401265332225531798315780528328964001988e-167), SC_(19.56909048260682534539216053987194710384) }}, 
+      {{ SC_(0.7560947579095629715718115752684784187336e-154), SC_(18.74494560773490096872968649468667611647) }}, 
+      {{ SC_(0.2179858592534951368829782528927445425064e-151), SC_(18.59346814776643084908600446605555382182) }}, 
+      {{ SC_(0.5208405693419352209961246987938629746382e-131), SC_(17.28776816936911830963159975455855394785) }}, 
+      {{ SC_(0.5376896865772724579278898126622880802843e-127), SC_(17.01882418428649428645068852272615582504) }}, 
+      {{ SC_(0.1449951754876351411423239477096839160613e-114), SC_(16.15763261758311680195806763260744183267) }}, 
+      {{ SC_(0.3189212836315126918184908007667112228414e-108), SC_(15.70012576642621709878560027430710336585) }}, 
+      {{ SC_(0.1297369886602648502231884634897739722895e-107), SC_(15.65546665388935777226018284593032382368) }}, 
+      {{ SC_(0.2602821327589283546034644516083144727197e-103), SC_(15.33647743152077165227354683273671003413) }}, 
+      {{ SC_(0.1590035594081776210615338926776093483999e-96), SC_(14.81946110818452708436758045284808001241) }}, 
+      {{ SC_(0.2720908074515874075065365442027770927174e-96), SC_(14.80136596875698966601900922593357151598) }}, 
+      {{ SC_(0.3706750818860597777102228512408751197629e-87), SC_(14.07473190298865115531360325271322276549) }}, 
+      {{ SC_(0.3489539664837006993042769801460156282803e-83), SC_(13.74669364199157990777768669458685265472) }}, 
+      {{ SC_(0.1947620269151566018960312643171165602404e-79), SC_(13.43009987431500967622734624289673694188) }}, 
+      {{ SC_(0.5129832297533069185312436951335270626736e-73), SC_(12.86957639029561313119037589037764922829) }}, 
+      {{ SC_(0.9272206234111032518003166213125699095688e-70), SC_(12.57574048509944911276422466059543556873) }}, 
+      {{ SC_(0.1460449453933976163637836336160553873706e-68), SC_(12.46599637375040876166599138465603014844) }}, 
+      {{ SC_(0.8768204308820258161647995326423963318019e-68), SC_(12.39412855962299302779918858089973570208) }}, 
+      {{ SC_(0.3176564512338672251415481009303329209995e-61), SC_(11.77127316747622053532997731227084711173) }}, 
+      {{ SC_(0.1172937774279091349820752991146331290881e-54), SC_(11.11297358832626209702547835299261897395) }}, 
+      {{ SC_(0.3822700066028246575792241970441049035743e-52), SC_(10.85058828114725350216779162566256390403) }}, 
+      {{ SC_(0.4793602326185941396320885530096873382082e-41), SC_(9.607343723542133339487829511083057069273) }}, 
+      {{ SC_(0.106201511009181306109371950926034372112e-40), SC_(9.566077632118694585964030456246300276422) }}, 
+      {{ SC_(0.1026229395621872573137267432392849554594e-24), SC_(7.413111396559360630306454710337113823294) }}, 
+      {{ SC_(0.1433834013674021626308791056277965507134e-19), SC_(6.574536501026477531602186421374903506051) }}, 
+      {{ SC_(0.2287484604245551701383736767135709586086e-12), SC_(5.183672646329402197657171322814515766894) }}, 
+      {{ SC_(0.4054382118091501052221361988694253843776e-11), SC_(4.903978376537783549083010816442468785255) }}, 
+      {{ SC_(0.5517250582467272934968166422809728429772e-9), SC_(4.386634719241854622420456791837035899963) }}, 
+      {{ SC_(0.1708920553446964553659243704866375034024e-5), SC_(3.383585107532389209677350898502297644278) }}, 
+      {{ SC_(0.2892930668406028955896934416060055101499e-5), SC_(3.308042643013470022433136596357284983766) }}, 
+      {{ SC_(0.7029998339557698614154475319387477445787e-5), SC_(3.17687395056466498458108882620439294841) }}, 
+      {{ SC_(0.3973417837559780922949941034264323413971e-4), SC_(2.90551585834893682957467771364140403613) }}, 
+      {{ SC_(0.04246334897368917726269942070072005435577), SC_(1.434684541881674882915735690265484394337) }}, 
+      {{ SC_(0.159920364968560744996532371753339418774), SC_(0.9937250495458864822841753804433979428041) }}, 
+      {{ SC_(0.2425390104583346613758947085681683120129), SC_(0.826370276571483139432927467391341431105) }}, 
+      {{ SC_(0.7954739362140872788414606986417965117653), SC_(0.1832884885283639734589195991287031281603) }}, 
+      {{ SC_(0.9236374866673857278562449757419727802699), SC_(0.06777816075457032123722158048171767182127) }}
+   } };
+
diff --git a/src/boost/libs/math/test/erfc_inv_data.ipp b/src/boost/libs/math/test/erfc_inv_data.ipp
new file mode 100644
index 000000000..1d8de08a7
--- /dev/null
+++ b/src/boost/libs/math/test/erfc_inv_data.ipp
@@ -0,0 +1,107 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> erfc_inv_data = { {
+      {{ SC_(0.00956696830689907073974609375), SC_(1.832184391051582711731256541599359331735) }}, 
+      {{ SC_(0.063665688037872314453125), SC_(1.311339282092737086640055105484822812599) }}, 
+      {{ SC_(0.068892158567905426025390625), SC_(1.286316565305373898738127895195338854718) }}, 
+      {{ SC_(0.071423359215259552001953125), SC_(1.274755321776344058215704428086211324587) }}, 
+      {{ SC_(0.0728825032711029052734375), SC_(1.268242522387371561738393687518023984868) }}, 
+      {{ SC_(0.09234277904033660888671875), SC_(1.190178756246535875259766567441510867604) }}, 
+      {{ SC_(0.102432854473590850830078125), SC_(1.154826903977823078146497880706118113588) }}, 
+      {{ SC_(0.1942635476589202880859375), SC_(0.9178735528443878579995511780412810469667) }}, 
+      {{ SC_(0.19508080184459686279296875), SC_(0.9161942752629032646404767631869277618212) }}, 
+      {{ SC_(0.21972350776195526123046875), SC_(0.8678064594007161661713535461829067693456) }}, 
+      {{ SC_(0.224929034709930419921875), SC_(0.8580919924152284867224297625328485999768) }}, 
+      {{ SC_(0.2503655254840850830078125), SC_(0.8127923779477598070926819995714374417663) }}, 
+      {{ SC_(0.25179326534271240234375), SC_(0.8103475955423936417307157186107256388648) }}, 
+      {{ SC_(0.2539736330509185791015625), SC_(0.8066326381314558738773191719462921998277) }}, 
+      {{ SC_(0.27095401287078857421875), SC_(0.7784313874823551106598826200232666844639) }}, 
+      {{ SC_(0.2837726771831512451171875), SC_(0.7579355956263440770864088550908621329508) }}, 
+      {{ SC_(0.298227965831756591796875), SC_(0.7355614373173595299453301005770428516518) }}, 
+      {{ SC_(0.3152261674404144287109375), SC_(0.7101588837290742217667270852502075077668) }}, 
+      {{ SC_(0.342373371124267578125), SC_(0.6713881533266128640126408255047881638389) }}, 
+      {{ SC_(0.347730338573455810546875), SC_(0.6639738263692763456669198307149427734317) }}, 
+      {{ SC_(0.3737452030181884765625), SC_(0.6289572925573171740836428308746584439674) }}, 
+      {{ SC_(0.37676393985748291015625), SC_(0.6249936843093662471116097431474787933967) }}, 
+      {{ SC_(0.42041814327239990234375), SC_(0.5697131213589784467617578394703976041604) }}, 
+      {{ SC_(0.4238486588001251220703125), SC_(0.5655171880456876504494070613171955224472) }}, 
+      {{ SC_(0.4420680999755859375), SC_(0.5435569422159360687847790186563654276103) }}, 
+      {{ SC_(0.553845942020416259765625), SC_(0.4186121208546731033057205459902879301199) }}, 
+      {{ SC_(0.55699646472930908203125), SC_(0.4152898953738801984047941692529271391195) }}, 
+      {{ SC_(0.59405887126922607421875), SC_(0.3768620801611051992528860948080812212023) }}, 
+      {{ SC_(0.603826224803924560546875), SC_(0.3669220210390825311547962776125822899061) }}, 
+      {{ SC_(0.61633408069610595703125), SC_(0.3542977152760563782151668726041057557165) }}, 
+      {{ SC_(0.63310086727142333984375), SC_(0.3375493847053488720470432821496358279516) }}, 
+      {{ SC_(0.634198963642120361328125), SC_(0.3364591774366710656954166264654945559873) }}, 
+      {{ SC_(0.722588002681732177734375), SC_(0.2510244067029671790889794981353227476998) }}, 
+      {{ SC_(0.763116896152496337890625), SC_(0.213115119330839975829499967157244997714) }}, 
+      {{ SC_(0.784454047679901123046875), SC_(0.1934073617841803428235669261097060281642) }}, 
+      {{ SC_(0.797477066516876220703125), SC_(0.1814532246720147926398927046057793150106) }}, 
+      {{ SC_(0.81746232509613037109375), SC_(0.1632073953550647568421821286058243218715) }}, 
+      {{ SC_(0.843522548675537109375), SC_(0.1395756320903277910768376053314442757507) }}, 
+      {{ SC_(0.8441753387451171875), SC_(0.1389857795955756484965030151195660030168) }}, 
+      {{ SC_(0.87748873233795166015625), SC_(0.109002961098867662134935094105847496074) }}, 
+      {{ SC_(0.8911724090576171875), SC_(0.09674694516640724629590870677194632943569) }}, 
+      {{ SC_(0.91597831249237060546875), SC_(0.07460044047654119877070700345343119035515) }}, 
+      {{ SC_(0.94951736927032470703125), SC_(0.04476895818328636312384562686715995170129) }}, 
+      {{ SC_(0.970751285552978515625), SC_(0.0259268064334840921104659134138093242797) }}, 
+      {{ SC_(0.97513782978057861328125), SC_(0.02203709146986755832638577823832075055744) }}, 
+      {{ SC_(0.97952878475189208984375), SC_(0.01814413302702029459097557481591610553903) }}, 
+      {{ SC_(0.981178104877471923828125), SC_(0.01668201759439857888105181293763417899072) }}, 
+      {{ SC_(1.0073254108428955078125), SC_(-0.006492067534753215749601670217642082465642) }}, 
+      {{ SC_(1.09376299381256103515625), SC_(-0.08328747254794857150987333986733043734817) }}, 
+      {{ SC_(1.0944411754608154296875), SC_(-0.08389270963798942778622198997355058545872) }}, 
+      {{ SC_(1.264718532562255859375), SC_(-0.2390787735821979528028028789569770109829) }}, 
+      {{ SC_(1.27952671051025390625), SC_(-0.2530214201700340392837551955289041822603) }}, 
+      {{ SC_(1.29262602329254150390625), SC_(-0.2654374523135675523971788948011709467352) }}, 
+      {{ SC_(1.3109557628631591796875), SC_(-0.282950508503826367238408926581528085458) }}, 
+      {{ SC_(1.31148135662078857421875), SC_(-0.2834552014554130441860525970673030809536) }}, 
+      {{ SC_(1.32721102237701416015625), SC_(-0.2986277427848421570858990348074985028421) }}, 
+      {{ SC_(1.3574702739715576171875), SC_(-0.3282140305634627092431945088114761850208) }}, 
+      {{ SC_(1.362719058990478515625), SC_(-0.3334035993712283467959295804559099468454) }}, 
+      {{ SC_(1.3896572589874267578125), SC_(-0.3603304982893212173104266596348905175268) }}, 
+      {{ SC_(1.4120922088623046875), SC_(-0.3831602323665075533579267768785894144888) }}, 
+      {{ SC_(1.41872966289520263671875), SC_(-0.3899906753567599452444107492361433402154) }}, 
+      {{ SC_(1.45167791843414306640625), SC_(-0.4244594733907945411184647153213164209335) }}, 
+      {{ SC_(1.48129451274871826171875), SC_(-0.4563258063707025027210352963461819167707) }}, 
+      {{ SC_(1.4862649440765380859375), SC_(-0.4617640058971775089811390737537561779898) }}, 
+      {{ SC_(1.50937330722808837890625), SC_(-0.4874174763856674076219106695373814892182) }}, 
+      {{ SC_(1.5154802799224853515625), SC_(-0.4943041993872143888987628020569772222018) }}, 
+      {{ SC_(1.52750003337860107421875), SC_(-0.5079978091910991117615000459548117088362) }}, 
+      {{ SC_(1.53103363513946533203125), SC_(-0.5120597685873370942783226077302881881069) }}, 
+      {{ SC_(1.58441460132598876953125), SC_(-0.5756584292527058478710392476034273328569) }}, 
+      {{ SC_(1.5879499912261962890625), SC_(-0.5800336103175463592377907341030447077804) }}, 
+      {{ SC_(1.59039986133575439453125), SC_(-0.5830784871670823806198622501806646778319) }}, 
+      {{ SC_(1.59455978870391845703125), SC_(-0.588273673825686998734497652983815773459) }}, 
+      {{ SC_(1.59585726261138916015625), SC_(-0.5899005483108011364541949539839185473259) }}, 
+      {{ SC_(1.5962116718292236328125), SC_(-0.5903454775096607218832535637355431851718) }}, 
+      {{ SC_(1.6005609035491943359375), SC_(-0.5958247243549040349587326482492767206448) }}, 
+      {{ SC_(1.6150619983673095703125), SC_(-0.6143583249050861028039832921829036722514) }}, 
+      {{ SC_(1.62944734096527099609375), SC_(-0.6331707263097125575937994856370309207836) }}, 
+      {{ SC_(1.64380657672882080078125), SC_(-0.6524069265890823819975498133014027247554) }}, 
+      {{ SC_(1.6469156742095947265625), SC_(-0.656635855345815020063728463464436343698) }}, 
+      {{ SC_(1.67001712322235107421875), SC_(-0.6888269167957872563013714303376548038671) }}, 
+      {{ SC_(1.6982586383819580078125), SC_(-0.7302336318927408409119676651737758401138) }}, 
+      {{ SC_(1.74485766887664794921875), SC_(-0.8046505193013635090578266413458426260098) }}, 
+      {{ SC_(1.75686132907867431640625), SC_(-0.8253191678260588578995203396384711816647) }}, 
+      {{ SC_(1.81158387660980224609375), SC_(-0.9300427626888758122211127950646282789481) }}, 
+      {{ SC_(1.826751708984375), SC_(-0.9629665092443368464606966822833571908852) }}, 
+      {{ SC_(1.83147108554840087890625), SC_(-0.9736479209913771931387473923084901789046) }}, 
+      {{ SC_(1.84174954891204833984375), SC_(-0.997713670556719074960678197806799852186) }}, 
+      {{ SC_(1.8679864406585693359375), SC_(-1.065050516333636716777334376076374184102) }}, 
+      {{ SC_(1.90044414997100830078125), SC_(-1.164612422633086435501625591693259387477) }}, 
+      {{ SC_(1.91433393955230712890625), SC_(-1.215315881176612875682446995412738776976) }}, 
+      {{ SC_(1.91501367092132568359375), SC_(-1.217962731073139868794942852653058932976) }}, 
+      {{ SC_(1.918984889984130859375), SC_(-1.233778505900771488542027767896521427575) }}, 
+      {{ SC_(1.92977702617645263671875), SC_(-1.28019542575660930623179572273596558907) }}, 
+      {{ SC_(1.93538987636566162109375), SC_(-1.306695301483797253764522033930388453334) }}, 
+      {{ SC_(1.93773555755615234375), SC_(-1.318335478463913327121670503572736587296) }}, 
+      {{ SC_(1.94118559360504150390625), SC_(-1.33613349872692113073358883961598631154) }}, 
+      {{ SC_(1.96221935749053955078125), SC_(-1.468821071545234761861756248744372345584) }}, 
+      {{ SC_(1.98576259613037109375), SC_(-1.733272259459038694476413373595347034928) }}, 
+      {{ SC_(1.9881370067596435546875), SC_(-1.77921769652839903464038407684397479173) }}, 
+      {{ SC_(1.99292266368865966796875), SC_(-1.904368122482929779094714951471938518496) }}
+   } };
diff --git a/src/boost/libs/math/test/exp_sinh_quadrature_test.cpp b/src/boost/libs/math/test/exp_sinh_quadrature_test.cpp
new file mode 100644
index 000000000..55dfe3c5a
--- /dev/null
+++ b/src/boost/libs/math/test/exp_sinh_quadrature_test.cpp
@@ -0,0 +1,637 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE exp_sinh_quadrature_test
+
+#include <complex>
+#include <boost/multiprecision/cpp_complex.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/type_traits/is_class.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+
+using std::exp;
+using std::cos;
+using std::tan;
+using std::log;
+using std::sqrt;
+using std::abs;
+using std::sinh;
+using std::cosh;
+using std::pow;
+using std::atan;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::math::quadrature::exp_sinh;
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4) && !defined(TEST5) && !defined(TEST6) && !defined(TEST7) && !defined(TEST8) && !defined(TEST9)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#  define TEST4
+#  define TEST5
+#  define TEST6
+#  define TEST7
+#  define TEST8
+#  define TEST9
+#endif
+
+#ifdef BOOST_MSVC
+#pragma warning (disable:4127)
+#endif
+
+//
+// Coefficient generation code:
+//
+template <class T>
+void print_levels(const T& v, const char* suffix)
+{
+   std::cout << "{\n";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      std::cout << "      { ";
+      for (unsigned j = 0; j < v[i].size(); ++j)
+      {
+         std::cout << v[i][j] << suffix << ", ";
+      }
+      std::cout << "},\n";
+   }
+   std::cout << "   };\n";
+}
+
+template <class T>
+void print_levels(const std::pair<T, T>& p, const char* suffix = "")
+{
+   std::cout << "   static const std::vector<std::vector<Real> > abscissa = ";
+   print_levels(p.first, suffix);
+   std::cout << "   static const std::vector<std::vector<Real> > weights = ";
+   print_levels(p.second, suffix);
+}
+
+template <class Real, class TargetType>
+std::pair<std::vector<std::vector<Real>>, std::vector<std::vector<Real>> > generate_constants(unsigned max_rows)
+{
+   using boost::math::constants::half_pi;
+   using boost::math::constants::two_div_pi;
+   using boost::math::constants::pi;
+   auto g = [](Real t)->Real { return exp(half_pi<Real>()*sinh(t)); };
+   auto w = [](Real t)->Real { return cosh(t)*half_pi<Real>()*exp(half_pi<Real>()*sinh(t)); };
+
+   std::vector<std::vector<Real>> abscissa, weights;
+
+   std::vector<Real> temp;
+
+   Real tmp = (Real(boost::math::tools::log_min_value<TargetType>()) + log(Real(boost::math::tools::epsilon<TargetType>())))*0.5f;
+   Real t_min = asinh(two_div_pi<Real>()*tmp);
+   // truncate t_min to an exact binary value:
+   t_min = floor(t_min * 128) / 128;
+
+   std::cout << "m_t_min = " << t_min << ";\n";
+
+   // t_max is chosen to make g'(t_max) ~ sqrt(max) (g' grows faster than g).
+   // This will allow some flexibility on the users part; they can at least square a number function without overflow.
+   // But there is no unique choice; the further out we can evaluate the function, the better we can do on slowly decaying integrands.
+   const Real t_max = log(2 * two_div_pi<Real>()*log(2 * two_div_pi<Real>()*sqrt(Real(boost::math::tools::max_value<TargetType>()))));
+
+   Real h = 1;
+   for (Real t = t_min; t < t_max; t += h)
+   {
+      temp.push_back(g(t));
+   }
+   abscissa.push_back(temp);
+   temp.clear();
+
+   for (Real t = t_min; t < t_max; t += h)
+   {
+      temp.push_back(w(t * h));
+   }
+   weights.push_back(temp);
+   temp.clear();
+
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = t_min + h; t < t_max; t += 2 * h)
+         temp.push_back(g(t));
+      abscissa.push_back(temp);
+      temp.clear();
+   }
+   h = 1;
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = t_min + h; t < t_max; t += 2 * h)
+         temp.push_back(w(t));
+      weights.push_back(temp);
+      temp.clear();
+   }
+
+   return std::make_pair(abscissa, weights);
+}
+
+
+template <class Real>
+const exp_sinh<Real>& get_integrator()
+{
+   static const exp_sinh<Real> integrator(14);
+   return integrator;
+}
+
+template <class Real>
+Real get_convergence_tolerance()
+{
+   return boost::math::tools::root_epsilon<Real>();
+}
+
+template<class Real>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for tanh_sinh in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Example 12
+    const auto f2 = [](const Real& t)->Real { return exp(-t)/sqrt(t); };
+    Q = integrator.integrate(f2, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_pi<Real>();
+    Real tol_mult = 1;
+    // Multiprecision type have higher error rates, probably evaluation of f() is less accurate:
+    if (std::numeric_limits<Real>::digits10 > std::numeric_limits<long double>::digits10)
+       tol_mult = 12;
+    else if (std::numeric_limits<Real>::digits10 > std::numeric_limits<double>::digits10)
+       tol_mult = 5;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * tol_mult);
+    // The integrand is strictly positive, so it coincides with the value of the integral:
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol * tol_mult);
+
+    auto f3 = [](Real t)->Real { Real z = exp(-t); if (z == 0) { return z; } return z*cos(t); };
+    Q = integrator.integrate(f3, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    Q = integrator.integrate(f3, 10, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("-6.6976341310426674140007086979326069121526743314567805278252392932e-6");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+    // Integrating through zero risks precision loss:
+    Q = integrator.integrate(f3, -10, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("-15232.3213626280525704332288302799653087046646639974940243044623285817777006");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, std::numeric_limits<Real>::digits10 > 30 ? 1000 * tol : tol);
+
+    auto f4 = [](Real t)->Real { return 1/(1+t*t); };
+    Q = integrator.integrate(f4, 1, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f4, 20, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0499583957219427614100062870348448814912770804235071744108534548299835954767");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f4, 500, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0019999973333397333150476759363217553199063513829126652556286269630");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+template<class Real>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for 1/(1+t^2) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Example 11:
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), 0, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), -20, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0499583957219427614100062870348448814912770804235071744108534548299835954767");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), -500, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::lexical_cast<Real>("0.0019999973333397333150476759363217553199063513829126652556286269630");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+
+// Some examples of tough integrals from NR, section 4.5.4:
+template<class Real>
+void test_nr_examples()
+{
+    using std::sin;
+    using std::cos;
+    using std::pow;
+    using std::exp;
+    using std::sqrt;
+    std::cout << "Testing type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    auto integrator = get_integrator<Real>();
+
+    auto f0 = [] (Real)->Real { return (Real) 0; };
+    Q = integrator.integrate(f0, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = 0;
+    BOOST_CHECK_CLOSE_FRACTION(Q, 0.0f, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 0.0f, tol);
+
+    auto f = [](const Real& x)->Real { return 1/(1+x*x); };
+    Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f1 = [](Real x)->Real {
+        Real z1 = exp(-x);
+        if (z1 == 0)
+        {
+            return (Real) 0;
+        }
+        Real z2 = pow(x, -3*half<Real>())*z1;
+        if (z2 == 0)
+        {
+            return (Real) 0;
+        }
+        return sin(x*half<Real>())*z2;
+    };
+
+    Q = integrator.integrate(f1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = sqrt(pi<Real>()*(sqrt((Real) 5) - 2));
+
+    // The integrand is oscillatory; the accuracy is low.
+    Real tol_mul = 1;
+    if (std::numeric_limits<Real>::digits10 > 40)
+       tol_mul = 500000;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mul * tol);
+
+    auto f2 = [](Real x)->Real { return x > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(pow(x, -(Real) 2/(Real) 7)*exp(-x*x)); };
+    Q = integrator.integrate(f2, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half<Real>()*boost::math::tgamma((Real) 5/ (Real) 14);
+    tol_mul = 1;
+    if (std::numeric_limits<Real>::is_specialized == false)
+       tol_mul = 6;
+    else if (std::numeric_limits<Real>::digits10 > 40)
+       tol_mul = 100;
+    else
+       tol_mul = 3;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mul * tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol_mul * tol);
+
+    auto f3 = [](Real x)->Real { return (Real) 1/ (sqrt(x)*(1+x)); };
+    Q = integrator.integrate(f3, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10*boost::math::tools::epsilon<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, 10*boost::math::tools::epsilon<Real>());
+
+    auto f4 = [](const Real& t)->Real { return  t > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-t*t*half<Real>())); };
+    Q = integrator.integrate(f4, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_two_pi<Real>()/2;
+    tol_mul = 1;
+    if (std::numeric_limits<Real>::digits10 > 40)
+       tol_mul = 5000;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mul * tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol_mul * tol);
+
+    auto f5 = [](const Real& t)->Real { return 1/cosh(t);};
+    Q = integrator.integrate(f5, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * 12);   // Fails at float precision without higher error rate
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol * 12);
+}
+
+// Definite integrals found in the CRC Handbook of Mathematical Formulas
+template<class Real>
+void test_crc()
+{
+    using std::sin;
+    using std::pow;
+    using std::exp;
+    using std::sqrt;
+    using std::log;
+    using std::cos;
+    std::cout << "Testing integral from CRC handbook on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    auto integrator = get_integrator<Real>();
+
+    auto f0 = [](const Real& x)->Real { return x > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(log(x)*exp(-x)); };
+    Q = integrator.integrate(f0, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = -boost::math::constants::euler<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Test the integral representation of the gamma function:
+    auto f1 = [](Real t)->Real { Real x = exp(-t);
+        if(x == 0)
+        {
+            return (Real) 0;
+        }
+        return pow(t, (Real) 12 - 1)*x;
+    };
+
+    Q = integrator.integrate(f1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::math::tgamma(12.0f);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Integral representation of the modified bessel function:
+    // K_5(12)
+    auto f2 = [](Real t)->Real {
+        Real x = 12*cosh(t);
+        if (x > boost::math::tools::log_max_value<Real>())
+        {
+            return (Real) 0;
+        }
+        return exp(-x)*cosh(5*t);
+    };
+    Q = integrator.integrate(f2, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = boost::math::cyl_bessel_k<int, Real>(5, 12);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Laplace transform of cos(at)
+    Real a = 20;
+    Real s = 1;
+    auto f3 = [&](Real t)->Real {
+        Real x = s * t;
+        if (x > boost::math::tools::log_max_value<Real>())
+        {
+            return (Real) 0;
+        }
+        return cos(a * t) * exp(-x);
+    };
+
+    // Since the integrand is oscillatory, we increase the tolerance:
+    Real tol_mult = 10;
+    // Multiprecision type have higher error rates, probably evaluation of f() is less accurate:
+    if (!boost::is_class<Real>::value)
+    {
+       // For high oscillation frequency, the quadrature sum is ill-conditioned.
+       Q = integrator.integrate(f3, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = s/(a*a+s*s);
+       if (std::numeric_limits<Real>::digits10 > std::numeric_limits<double>::digits10)
+          tol_mult = 5000; // we should really investigate this more??
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mult*tol);
+    }
+
+    //
+    // This one doesn't pass for real_concept..
+    //
+    if (std::numeric_limits<Real>::is_specialized)
+    {
+       // Laplace transform of J_0(t):
+       auto f4 = [&](Real t)->Real {
+          Real x = s * t;
+          if (x > boost::math::tools::log_max_value<Real>())
+          {
+             return (Real)0;
+          }
+          return boost::math::cyl_bessel_j(0, t) * exp(-x);
+       };
+
+       Q = integrator.integrate(f4, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / sqrt(1 + s*s);
+       tol_mult = 3;
+       // Multiprecision type have higher error rates, probably evaluation of f() is less accurate:
+       if (std::numeric_limits<Real>::digits10 > std::numeric_limits<long double>::digits10)
+          tol_mult = 750;
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol_mult * tol);
+    }
+    auto f6 = [](const Real& t)->Real { return t > boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-t*t)*log(t));};
+    Q = integrator.integrate(f6, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = -boost::math::constants::root_pi<Real>()*(boost::math::constants::euler<Real>() + 2*ln_two<Real>())/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // CRC Section 5.5, integral 591
+    // The parameter p allows us to control the strength of the singularity.
+    // Rapid convergence is not guaranteed for this function, as the branch cut makes it non-analytic on a disk.
+    // This converges only when our test type has an extended exponent range as all the area of the integral
+    // occurs so close to 0 (or 1) that we need abscissa values exceptionally small to find it.
+    // "There's a lot of room at the bottom".
+    // This version is transformed via argument substitution (exp(-x) for x) so that the integral is spread
+    // over (0, INF).
+    tol *= boost::math::tools::digits<Real>() > 100 ? 100000 : 75;
+    for (Real pn = 99; pn > 0; pn -= 10) {
+       Real p = pn / 100;
+       auto f = [&](Real x)->Real
+       {
+          return x > 1000 * boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-x * (1 - p) + p * log(-boost::math::expm1(-x))));
+       };
+       Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / boost::math::sinc_pi(p*pi<Real>());
+       /*
+       std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10) << p << std::endl;
+       std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10) << Q << std::endl;
+       std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10) << Q_expected << std::endl;
+       std::cout << fabs((Q - Q_expected) / Q_expected) << std::endl;
+       */
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+    // and for p < 1:
+    for (Real p = -0.99; p < 0; p += 0.1) {
+       auto f = [&](Real x)->Real
+       {
+          return x > 1000 * boost::math::tools::log_max_value<Real>() ? Real(0) : Real(exp(-p * log(-boost::math::expm1(-x)) - (1 + p) * x));
+       };
+       Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / boost::math::sinc_pi(p*pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+}
+
+template<class Complex>
+void test_complex_modified_bessel()
+{
+    std::cout << "Testing complex modified Bessel function on type " << boost::typeindex::type_id<Complex>().pretty_name() << "\n";
+    typedef typename Complex::value_type Real;
+    Real tol = 100 * boost::math::tools::epsilon<Real>();
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Integral Representation of Modified Complex Bessel function:
+    // https://en.wikipedia.org/wiki/Bessel_function#Modified_Bessel_functions
+    Complex z{2, 3};
+    const auto f = [&z](const Real& t)->Complex
+    {
+        using std::cosh;
+        using std::exp;
+        Real cosht = cosh(t);
+        if (cosht > boost::math::tools::log_max_value<Real>())
+        {
+            return Complex{0, 0};
+        }
+        Complex arg = -z*cosht;
+        Complex res = exp(arg);
+        return res;
+    };
+
+    Complex K0 = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+
+    // Mathematica code: N[BesselK[0, 2 + 3 I], 140]
+    Real K0_x_expected = boost::lexical_cast<Real>("-0.08296852656762551490517953520589186885781541203818846830385526187936132191822538822296497597191327722262903004145527496422090506197776994");
+    Real K0_y_expected = boost::lexical_cast<Real>("0.027949603635183423629723306332336002340909030265538548521150904238352846705644065168365102147901993976999717171115546662967229050834575193041");
+    BOOST_CHECK_CLOSE_FRACTION(K0.real(), K0_x_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(K0.imag(), K0_y_expected, tol);
+}
+
+template<typename Complex>
+void test_complex_exponential_integral_E1(){
+    std::cout << "Testing complex exponential integral on type " << boost::typeindex::type_id<Complex>().pretty_name() << "\n";
+    typedef typename Complex::value_type Real;
+    Real tol = 100 * boost::math::tools::epsilon<Real>();
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    Complex z{1.5,0.5};
+
+    // Integral representation of exponential integral E1, valid for Re z > 0
+    // https://en.wikipedia.org/wiki/Exponential_integral#Definitions
+    auto f = [&z](const Real& t)->Complex
+    {
+       using std::exp;
+       return exp(-z*t)/t;
+    };
+
+    Real inf = std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>();
+
+    Complex E1 = integrator.integrate(f,1,inf,get_convergence_tolerance<Real>(),&error,&L1);
+
+   // Mathematica code: N[ExpIntegral[1,1.5 + 0.5 I],140]
+    Real E1_real_expected = boost::lexical_cast<Real>("0.071702995463938694845949672113596046091766639758473558841839765788732549949008866887694451956003503764943496943262401868244277788066634858393");
+    Real E1_imag_expected = boost::lexical_cast<Real>("-0.065138628279238400564373880665751377423524428792583839078600260273866805818117625959446311737353882269129094759883720722150048944193926087208");
+    BOOST_CHECK_CLOSE_FRACTION(E1.real(), E1_real_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(E1.imag(), E1_imag_expected, tol);
+
+}
+
+
+BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test)
+{
+   //
+   // Uncomment to generate the coefficients:
+   //
+
+   /*
+   std::cout << std::scientific << std::setprecision(8);
+   print_levels(generate_constants<cpp_bin_float_100, float>(8), "f");
+   std::cout << std::setprecision(18);
+   print_levels(generate_constants<cpp_bin_float_100, double>(8), "");
+   std::cout << std::setprecision(35);
+   print_levels(generate_constants<cpp_bin_float_100, cpp_bin_float_quad>(8), "L");
+   */
+
+#ifdef TEST1
+    test_left_limit_infinite<float>();
+    test_right_limit_infinite<float>();
+    test_nr_examples<float>();
+    test_crc<float>();
+#endif
+#ifdef TEST2
+    test_left_limit_infinite<double>();
+    test_right_limit_infinite<double>();
+    test_nr_examples<double>();
+    test_crc<double>();
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST3
+    test_left_limit_infinite<long double>();
+    test_right_limit_infinite<long double>();
+    test_nr_examples<long double>();
+    test_crc<long double>();
+#endif
+#endif
+#ifdef TEST4
+    test_left_limit_infinite<cpp_bin_float_quad>();
+    test_right_limit_infinite<cpp_bin_float_quad>();
+    test_nr_examples<cpp_bin_float_quad>();
+    test_crc<cpp_bin_float_quad>();
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST5
+    test_left_limit_infinite<boost::math::concepts::real_concept>();
+    test_right_limit_infinite<boost::math::concepts::real_concept>();
+    test_nr_examples<boost::math::concepts::real_concept>();
+    test_crc<boost::math::concepts::real_concept>();
+#endif
+#endif
+#ifdef TEST6
+    test_left_limit_infinite<boost::multiprecision::cpp_bin_float_50>();
+    test_right_limit_infinite<boost::multiprecision::cpp_bin_float_50>();
+    test_nr_examples<boost::multiprecision::cpp_bin_float_50>();
+    test_crc<boost::multiprecision::cpp_bin_float_50>();
+#endif
+#ifdef TEST7
+    test_left_limit_infinite<boost::multiprecision::cpp_dec_float_50>();
+    test_right_limit_infinite<boost::multiprecision::cpp_dec_float_50>();
+    test_nr_examples<boost::multiprecision::cpp_dec_float_50>();
+    //
+    // This one causes stack overflows on the CI machine, but not locally,
+    // assume it's due to restricted resources on the server, and <shrug> for now...
+    //
+#if ! BOOST_WORKAROUND(BOOST_MSVC, == 1900)
+    test_crc<boost::multiprecision::cpp_dec_float_50>();
+#endif
+#endif
+#ifdef TEST8
+    test_complex_modified_bessel<std::complex<float>>();
+    test_complex_modified_bessel<std::complex<double>>();
+    test_complex_modified_bessel<std::complex<long double>>();
+    #ifdef BOOST_HAS_FLOAT128
+        test_complex_modified_bessel<boost::multiprecision::complex128>();
+    #endif
+    test_complex_modified_bessel<boost::multiprecision::cpp_complex_quad>();
+#endif
+#ifdef TEST9
+    test_complex_exponential_integral_E1<std::complex<float>>();
+    test_complex_exponential_integral_E1<std::complex<double>>();
+    test_complex_exponential_integral_E1<std::complex<long double>>();
+      #ifdef BOOST_HAS_FLOAT128
+         test_complex_exponential_integral_E1<boost::multiprecision::complex128>();
+      #endif
+    test_complex_exponential_integral_E1<boost::multiprecision::cpp_complex_quad>();
+#endif
+}
diff --git a/src/boost/libs/math/test/expint_1_data.ipp b/src/boost/libs/math/test/expint_1_data.ipp
new file mode 100644
index 000000000..9ee06138e
--- /dev/null
+++ b/src/boost/libs/math/test/expint_1_data.ipp
@@ -0,0 +1,87 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 79> expint_1_data = {{
+      {{ SC_(1.0), SC_(0.1690093176520690576580818742513656616211e-8), SC_(19.62126651228390287899433646349668926594) }}, 
+      {{ SC_(1.0), SC_(0.2114990849122477811761200428009033203125e-8), SC_(19.39699968832702671432639506875262488287) }}, 
+      {{ SC_(1.0), SC_(0.7099628440698779741069301962852478027344e-8), SC_(18.18600772876256587669156181753338435097) }}, 
+      {{ SC_(1.0), SC_(0.136718796284185373224318027496337890625e-7), SC_(17.53070904418311673532926624670363745081) }}, 
+      {{ SC_(1.0), SC_(0.1679341288252089725574478507041931152344e-7), SC_(17.32506346964272541627765227695487661752) }}, 
+      {{ SC_(1.0), SC_(0.586768322818898013792932033538818359375e-7), SC_(16.07400526183027268777222922688894197166) }}, 
+      {{ SC_(1.0), SC_(0.1140460881288163363933563232421875e-6), SC_(15.40944763756462608330646107757571975159) }}, 
+      {{ SC_(1.0), SC_(0.1455586016163579188287258148193359375e-6), SC_(15.16547155182818279856457574476936266928) }}, 
+      {{ SC_(1.0), SC_(0.38918477685001562349498271942138671875e-6), SC_(14.18199632563439348037946938445484633991) }}, 
+      {{ SC_(1.0), SC_(0.623782625552848912775516510009765625e-6), SC_(13.71024884463401352596363384090540526092) }}, 
+      {{ SC_(1.0), SC_(0.104669607026153244078159332275390625e-5), SC_(13.19265733629451552935983109160182922456) }}, 
+      {{ SC_(1.0), SC_(0.2951089072666945867240428924560546875e-5), SC_(12.15612356475179839693915983580837953116) }}, 
+      {{ SC_(1.0), SC_(0.4877083483734168112277984619140625e-5), SC_(11.65375237571303028293100602849280330023) }}, 
+      {{ SC_(1.0), SC_(0.9066634447663091123104095458984375e-5), SC_(11.033702828615680805096853068034765697) }}, 
+      {{ SC_(1.0), SC_(0.2360353755648247897624969482421875e-4), SC_(10.07692189920168231695897773396921896378) }}, 
+      {{ SC_(1.0), SC_(0.60817910707555711269378662109375e-4), SC_(9.130471380452133719689002203686010732863) }}, 
+      {{ SC_(1.0), SC_(0.000119476739200763404369354248046875), SC_(8.455292664848407732192394706135617033129) }}, 
+      {{ SC_(1.0), SC_(0.0002437086659483611583709716796875), SC_(7.742565066979092841621580079924528124121) }}, 
+      {{ SC_(1.0), SC_(0.00047970912419259548187255859375), SC_(7.065594615713263713209655779382416164774) }}, 
+      {{ SC_(1.0), SC_(0.000960788573138415813446044921875), SC_(6.371501073281348028486161198392483333344) }}, 
+      {{ SC_(1.0), SC_(0.00113048148341476917266845703125), SC_(6.209026142656637951294057898954292515858) }}, 
+      {{ SC_(1.0), SC_(0.0033707791008055210113525390625), SC_(5.118763649942589236114477763556608384932) }}, 
+      {{ SC_(1.0), SC_(0.007697627879679203033447265625), SC_(4.297310240071577860879490194258146908042) }}, 
+      {{ SC_(1.0), SC_(0.0154774188995361328125), SC_(3.606575234235758813120382950507615467416) }}, 
+      {{ SC_(1.0), SC_(0.0305807329714298248291015625), SC_(2.940517962291826559900925068133667615931) }}, 
+      {{ SC_(1.0), SC_(0.0346831791102886199951171875), SC_(2.818669547758849173655366691300656029988) }}, 
+      {{ SC_(1.0), SC_(0.09283597767353057861328125), SC_(1.890430395046114091623024011625489238192) }}, 
+      {{ SC_(1.0), SC_(0.22476322948932647705078125), SC_(1.128230840748073484651782346841079611668) }}, 
+      {{ SC_(1.0), SC_(0.23917420208454132080078125), SC_(1.078947851117239985434642728998206006734) }}, 
+      {{ SC_(1.0), SC_(0.4500701129436492919921875), SC_(0.6252319809071619975475212606569679083844) }}, 
+      {{ SC_(1.0), SC_(1.785583972930908203125), SC_(0.06605196207880094390425879479033907552898) }}, 
+      {{ SC_(1.0), SC_(4.8770198822021484375), SC_(0.001326894275438860249857941044254174502639) }}, 
+      {{ SC_(1.0), SC_(5.4930877685546875), SC_(0.0006460832160891306352056104536312996827518) }}, 
+      {{ SC_(1.0), SC_(5.623225688934326171875), SC_(0.0005557114466261269081523366304841856778567) }}, 
+      {{ SC_(1.0), SC_(6.349340915679931640625), SC_(0.0002414929458653428650902712691508606087705) }}, 
+      {{ SC_(1.0), SC_(6.77385044097900390625), SC_(0.0001491057337258556360697724884053639712183) }}, 
+      {{ SC_(1.0), SC_(7.094316959381103515625), SC_(0.000103833853056272701038880940251981448874) }}, 
+      {{ SC_(1.0), SC_(7.88065433502197265625), SC_(0.4302184733486055021456160704267900644151e-4) }}, 
+      {{ SC_(1.0), SC_(9.41909885406494140625), SC_(0.785158179791932713400818863165202252408e-5) }}, 
+      {{ SC_(1.0), SC_(10.5962162017822265625), SC_(0.2170821091221718858998745985121834633123e-5) }}, 
+      {{ SC_(1.0), SC_(11.0517024993896484375), SC_(0.1323971054451696237675804650020934283271e-5) }}, 
+      {{ SC_(1.0), SC_(13.9249114990234375), SC_(0.6030052082140414872763484176234936031379e-7) }}, 
+      {{ SC_(1.0), SC_(14.85147190093994140625), SC_(0.2246847323452812310807076843921206699284e-7) }}, 
+      {{ SC_(1.0), SC_(15.408351898193359375), SC_(0.1243451611444526471238603318210383094864e-7) }}, 
+      {{ SC_(1.0), SC_(18.0646991729736328125), SC_(0.7506937540952249657080032497242314338058e-9) }}, 
+      {{ SC_(1.0), SC_(19.9369258880615234375), SC_(0.1050756169313570044042540524516527996741e-9) }}, 
+      {{ SC_(1.0), SC_(21.0880641937255859375), SC_(0.3149450286739813566149195966918766794019e-10) }}, 
+      {{ SC_(1.0), SC_(24.2687816619873046875), SC_(0.1143540865960474355116790661840197166523e-11) }}, 
+      {{ SC_(1.0), SC_(25.183135986328125), SC_(0.4422553437971115949495472179014784876379e-12) }}, 
+      {{ SC_(1.0), SC_(27.344074249267578125), SC_(0.4706136215074688573466876839711291930065e-13) }}, 
+      {{ SC_(1.0), SC_(27.3610286712646484375), SC_(0.4624246647932169908912545804468933517039e-13) }}, 
+      {{ SC_(1.0), SC_(31.6179637908935546875), SC_(0.5694058988300047405430136315685981910904e-15) }}, 
+      {{ SC_(1.0), SC_(31.98816680908203125), SC_(0.3888079168940721087324944469578712933197e-15) }}, 
+      {{ SC_(1.0), SC_(32.7870330810546875), SC_(0.1707586829662679381480684070037630121613e-15) }}, 
+      {{ SC_(1.0), SC_(33.936756134033203125), SC_(0.5230089477890500292647833806674719422967e-16) }}, 
+      {{ SC_(1.0), SC_(34.0679779052734375), SC_(0.4569720316267919392435436312475469039788e-16) }}, 
+      {{ SC_(1.0), SC_(36.2919464111328125), SC_(0.4648256808579637348536682966321094152884e-17) }}, 
+      {{ SC_(1.0), SC_(39.6103668212890625), SC_(0.1545435668053719402464984966443581618056e-18) }}, 
+      {{ SC_(1.0), SC_(39.89643096923828125), SC_(0.1152823764266388444276211386495818338284e-18) }}, 
+      {{ SC_(1.0), SC_(39.905292510986328125), SC_(0.1142405282651606532309094911197076666306e-18) }}, 
+      {{ SC_(1.0), SC_(40.0140228271484375), SC_(0.1021986300809498211588191270716148887523e-18) }}, 
+      {{ SC_(1.0), SC_(40.73618316650390625), SC_(0.487782450682026156951156991212514994025e-19) }}, 
+      {{ SC_(1.0), SC_(41.75042724609375), SC_(0.1727057820230415908617717666461962953748e-19) }}, 
+      {{ SC_(1.0), SC_(42.4564666748046875), SC_(0.8386035754034782201062683833804929446885e-20) }}, 
+      {{ SC_(1.0), SC_(43.92153167724609375), SC_(0.1874446514992257654186347034583264392481e-20) }}, 
+      {{ SC_(1.0), SC_(45.2895965576171875), SC_(0.4631155735799306610393016753551769399309e-21) }}, 
+      {{ SC_(1.0), SC_(45.668792724609375), SC_(0.3143839170407425907322861671102497142403e-21) }}, 
+      {{ SC_(1.0), SC_(45.786777496337890625), SC_(0.278690825003829419502247825145190508394e-21) }}, 
+      {{ SC_(1.0), SC_(46.6996612548828125), SC_(0.1097142494759480902665224812198017036116e-21) }}, 
+      {{ SC_(1.0), SC_(47.858348846435546875), SC_(0.3362168462409445527866973776887649345695e-22) }}, 
+      {{ SC_(1.0), SC_(47.87534332275390625), SC_(0.3304362677594583967844855615677058007508e-22) }}, 
+      {{ SC_(1.0), SC_(47.974620819091796875), SC_(0.2986001918596063601815305407205441355782e-22) }}, 
+      {{ SC_(1.0), SC_(48.244426727294921875), SC_(0.226739399060424385006440097684052080086e-22) }}, 
+      {{ SC_(1.0), SC_(48.384746551513671875), SC_(0.1964943928572394204174413988519401201072e-22) }}, 
+      {{ SC_(1.0), SC_(48.443389892578125), SC_(0.1850827201970609263420459500557652587842e-22) }}, 
+      {{ SC_(1.0), SC_(48.52964019775390625), SC_(0.1694924366999538118474174187456764816795e-22) }}, 
+      {{ SC_(1.0), SC_(49.055484771728515625), SC_(0.9912630736365412803849736897421968989741e-23) }}, 
+      {{ SC_(1.0), SC_(49.64406585693359375), SC_(0.5438645188377533724985296541041944657958e-23) }}, 
+      {{ SC_(1.0), SC_(49.82306671142578125), SC_(0.453125198123893560872142720624255521908e-23) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expint_data.ipp b/src/boost/libs/math/test/expint_data.ipp
new file mode 100644
index 000000000..a033393db
--- /dev/null
+++ b/src/boost/libs/math/test/expint_data.ipp
@@ -0,0 +1,608 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 600> expint_data = {{
+      {{ SC_(0.0), SC_(4.8770198822021484375), SC_(0.001562365538135970995717852896857631808327) }}, 
+      {{ SC_(0.0), SC_(5.4930877685546875), SC_(0.0007491447757702025944722131745633334937684) }}, 
+      {{ SC_(0.0), SC_(6.349340915679931640625), SC_(0.0002752882216582873387067996572122917865872) }}, 
+      {{ SC_(0.0), SC_(6.77385044097900390625), SC_(0.0001687790463104021974718191672246829394287) }}, 
+      {{ SC_(0.0), SC_(7.88065433502197265625), SC_(0.47963738863754152769104622456952262715e-4) }}, 
+      {{ SC_(0.0), SC_(9.41909885406494140625), SC_(0.8616442383363190691210027445652026531832e-5) }}, 
+      {{ SC_(0.0), SC_(11.0517024993896484375), SC_(0.1435084267000391515109242970335955294949e-5) }}, 
+      {{ SC_(0.0), SC_(13.9249114990234375), SC_(0.6437175227896219693144155889099646006989e-7) }}, 
+      {{ SC_(0.0), SC_(14.85147190093994140625), SC_(0.2389561472425127015102225830183211311355e-7) }}, 
+      {{ SC_(0.0), SC_(15.408351898193359375), SC_(0.1319719418545972741015149904348811051425e-7) }}, 
+      {{ SC_(0.0), SC_(24.2687816619873046875), SC_(0.11889239267601390541015398133557006754e-11) }}, 
+      {{ SC_(0.0), SC_(27.344074249267578125), SC_(0.4872549010302229290835986011540914041326e-13) }}, 
+      {{ SC_(0.0), SC_(27.3610286712646484375), SC_(0.4787665585558497600241038034910791656316e-13) }}, 
+      {{ SC_(0.0), SC_(31.6179637908935546875), SC_(0.5868929583967368539612302367590281628486e-15) }}, 
+      {{ SC_(0.0), SC_(36.2919464111328125), SC_(0.4773068588658948995725058196271779063743e-17) }}, 
+      {{ SC_(0.0), SC_(39.905292510986328125), SC_(0.1170364567486045719639244754262245531629e-18) }}, 
+      {{ SC_(0.0), SC_(40.0140228271484375), SC_(0.1046931993792806191360983778308485111274e-18) }}, 
+      {{ SC_(0.0), SC_(40.73618316650390625), SC_(0.4994822992740385189281065329903525138214e-19) }}, 
+      {{ SC_(0.0), SC_(41.75042724609375), SC_(0.1767497897232480324288472314518314166362e-19) }}, 
+      {{ SC_(0.0), SC_(45.2895965576171875), SC_(0.4731291164415236007530801800668192107248e-21) }}, 
+      {{ SC_(0.0), SC_(45.668792724609375), SC_(0.32112623945754987507866272619248827473e-21) }}, 
+      {{ SC_(0.0), SC_(47.858348846435546875), SC_(0.3431037557038677071409196944306329415725e-22) }}, 
+      {{ SC_(0.0), SC_(47.87534332275390625), SC_(0.3372024134373767813623270201540442231994e-22) }}, 
+      {{ SC_(0.0), SC_(48.244426727294921875), SC_(0.2313473555301647492330120635703080053112e-22) }}, 
+      {{ SC_(0.0), SC_(48.384746551513671875), SC_(0.2004763256428269587290401533485854661334e-22) }}, 
+      {{ SC_(0.0), SC_(48.443389892578125), SC_(0.1888289416818380641901072855471819672105e-22) }}, 
+      {{ SC_(0.0), SC_(48.52964019775390625), SC_(0.1729171153596841734848571786533234373322e-22) }}, 
+      {{ SC_(0.0), SC_(49.055484771728515625), SC_(0.1011081315291844758145446920376094243904e-22) }}, 
+      {{ SC_(0.0), SC_(49.64406585693359375), SC_(0.554611404844874116390457034845700516171e-23) }}, 
+      {{ SC_(0.0), SC_(49.82306671142578125), SC_(0.4620474736636545203207618442180434004238e-23) }}, 
+      {{ SC_(1.0), SC_(4.8770198822021484375), SC_(0.001326894275438860249857941044254174502639) }}, 
+      {{ SC_(1.0), SC_(5.4930877685546875), SC_(0.0006460832160891306352056104536312996827518) }}, 
+      {{ SC_(1.0), SC_(6.349340915679931640625), SC_(0.0002414929458653428650902712691508606087705) }}, 
+      {{ SC_(1.0), SC_(6.77385044097900390625), SC_(0.0001491057337258556360697724884053639712183) }}, 
+      {{ SC_(1.0), SC_(7.88065433502197265625), SC_(0.4302184733486055021456160704267900644151e-4) }}, 
+      {{ SC_(1.0), SC_(9.41909885406494140625), SC_(0.785158179791932713400818863165202252408e-5) }}, 
+      {{ SC_(1.0), SC_(11.0517024993896484375), SC_(0.1323971054451696237675804650020934283271e-5) }}, 
+      {{ SC_(1.0), SC_(13.9249114990234375), SC_(0.6030052082140414872763484176234936031379e-7) }}, 
+      {{ SC_(1.0), SC_(14.85147190093994140625), SC_(0.2246847323452812310807076843921206699284e-7) }}, 
+      {{ SC_(1.0), SC_(15.408351898193359375), SC_(0.1243451611444526471238603318210383094864e-7) }}, 
+      {{ SC_(1.0), SC_(24.2687816619873046875), SC_(0.1143540865960474355116790661840197166523e-11) }}, 
+      {{ SC_(1.0), SC_(27.344074249267578125), SC_(0.4706136215074688573466876839711291930065e-13) }}, 
+      {{ SC_(1.0), SC_(27.3610286712646484375), SC_(0.4624246647932169908912545804468933517039e-13) }}, 
+      {{ SC_(1.0), SC_(31.6179637908935546875), SC_(0.5694058988300047405430136315685981910904e-15) }}, 
+      {{ SC_(1.0), SC_(36.2919464111328125), SC_(0.4648256808579637348536682966321094152884e-17) }}, 
+      {{ SC_(1.0), SC_(39.905292510986328125), SC_(0.1142405282651606532309094911197076666306e-18) }}, 
+      {{ SC_(1.0), SC_(40.0140228271484375), SC_(0.1021986300809498211588191270716148887523e-18) }}, 
+      {{ SC_(1.0), SC_(40.73618316650390625), SC_(0.487782450682026156951156991212514994025e-19) }}, 
+      {{ SC_(1.0), SC_(41.75042724609375), SC_(0.1727057820230415908617717666461962953748e-19) }}, 
+      {{ SC_(1.0), SC_(45.2895965576171875), SC_(0.4631155735799306610393016753551769399309e-21) }}, 
+      {{ SC_(1.0), SC_(45.668792724609375), SC_(0.3143839170407425907322861671102497142403e-21) }}, 
+      {{ SC_(1.0), SC_(47.858348846435546875), SC_(0.3362168462409445527866973776887649345695e-22) }}, 
+      {{ SC_(1.0), SC_(47.87534332275390625), SC_(0.3304362677594583967844855615677058007508e-22) }}, 
+      {{ SC_(1.0), SC_(48.244426727294921875), SC_(0.226739399060424385006440097684052080086e-22) }}, 
+      {{ SC_(1.0), SC_(48.384746551513671875), SC_(0.1964943928572394204174413988519401201072e-22) }}, 
+      {{ SC_(1.0), SC_(48.443389892578125), SC_(0.1850827201970609263420459500557652587842e-22) }}, 
+      {{ SC_(1.0), SC_(48.52964019775390625), SC_(0.1694924366999538118474174187456764816795e-22) }}, 
+      {{ SC_(1.0), SC_(49.055484771728515625), SC_(0.9912630736365412803849736897421968989741e-23) }}, 
+      {{ SC_(1.0), SC_(49.64406585693359375), SC_(0.5438645188377533724985296541041944657958e-23) }}, 
+      {{ SC_(1.0), SC_(49.82306671142578125), SC_(0.453125198123893560872142720624255521908e-23) }}, 
+      {{ SC_(2.0), SC_(4.8770198822021484375), SC_(0.001148398029861054199345012264954555516672) }}, 
+      {{ SC_(2.0), SC_(5.4930877685546875), SC_(0.0005661261928922653194607642596729661834247) }}, 
+      {{ SC_(2.0), SC_(6.349340915679931640625), SC_(0.0002145777273488298919718327983230556847796) }}, 
+      {{ SC_(2.0), SC_(6.77385044097900390625), SC_(0.0001332640771263485120228892792183916486212) }}, 
+      {{ SC_(2.0), SC_(7.88065433502197265625), SC_(0.3894533890038373320901565444021945347981e-4) }}, 
+      {{ SC_(2.0), SC_(9.41909885406494140625), SC_(0.7204297463873735434976126199477971633086e-5) }}, 
+      {{ SC_(2.0), SC_(11.0517024993896484375), SC_(0.1227990168839628846455833098303448433773e-5) }}, 
+      {{ SC_(2.0), SC_(13.9249114990234375), SC_(0.5669153773853601538047096767291498163949e-7) }}, 
+      {{ SC_(2.0), SC_(14.85147190093994140625), SC_(0.2119515173328888646673023951256382787035e-7) }}, 
+      {{ SC_(2.0), SC_(15.408351898193359375), SC_(0.117516121032261460497022783873154133277e-7) }}, 
+      {{ SC_(2.0), SC_(24.2687816619873046875), SC_(0.1101391593699757550330771982720681241702e-11) }}, 
+      {{ SC_(2.0), SC_(27.344074249267578125), SC_(0.455040382873003464913463942701086735304e-13) }}, 
+      {{ SC_(2.0), SC_(27.3610286712646484375), SC_(0.4471310237821561213380831578693487315293e-13) }}, 
+      {{ SC_(2.0), SC_(31.6179637908935546875), SC_(0.5529052161901346947337909482893699970406e-15) }}, 
+      {{ SC_(2.0), SC_(36.2919464111328125), SC_(0.4529662434116472194070436245672265042857e-17) }}, 
+      {{ SC_(2.0), SC_(39.905292510986328125), SC_(0.1115723439716279721203408768712029013923e-18) }}, 
+      {{ SC_(2.0), SC_(40.0140228271484375), SC_(0.9981775284731221089019834505818363552819e-19) }}, 
+      {{ SC_(2.0), SC_(40.73618316650390625), SC_(0.476607175264578408858879133079205715852e-19) }}, 
+      {{ SC_(2.0), SC_(41.75042724609375), SC_(0.1688390492701119435486287762562159858699e-19) }}, 
+      {{ SC_(2.0), SC_(45.2895965576171875), SC_(0.453509316313951763481540924928599736043e-21) }}, 
+      {{ SC_(2.0), SC_(45.668792724609375), SC_(0.3079137249356592053907428360776657046168e-21) }}, 
+      {{ SC_(2.0), SC_(47.858348846435546875), SC_(0.3295961155503943958700595959147493859494e-22) }}, 
+      {{ SC_(2.0), SC_(47.87534332275390625), SC_(0.3239315473021101354747830206293350407438e-22) }}, 
+      {{ SC_(2.0), SC_(48.244426727294921875), SC_(0.2223082182669535818051174435727011298994e-22) }}, 
+      {{ SC_(2.0), SC_(48.384746551513671875), SC_(0.1926648086158158737108049237086099136816e-22) }}, 
+      {{ SC_(2.0), SC_(48.443389892578125), SC_(0.1814796680110118157973519143593274853176e-22) }}, 
+      {{ SC_(2.0), SC_(48.52964019775390625), SC_(0.16619842314964052994745565553339877572e-22) }}, 
+      {{ SC_(2.0), SC_(49.055484771728515625), SC_(0.9721934517241754833681461987796666364729e-23) }}, 
+      {{ SC_(2.0), SC_(49.64406585693359375), SC_(0.533519116694460320322763018293766555562e-23) }}, 
+      {{ SC_(2.0), SC_(49.82306671142578125), SC_(0.4445351294352327532340802176588798976952e-23) }}, 
+      {{ SC_(3.0), SC_(4.8770198822021484375), SC_(0.001009463884221225811389815998719010986271) }}, 
+      {{ SC_(3.0), SC_(5.4930877685546875), SC_(0.0005026685695125048013133739632870314017271) }}, 
+      {{ SC_(3.0), SC_(6.349340915679931640625), SC_(0.000192735812765095912002371183263293900111) }}, 
+      {{ SC_(3.0), SC_(6.77385044097900390625), SC_(0.0001202865448343788958616961263323890641224) }}, 
+      {{ SC_(3.0), SC_(7.88065433502197265625), SC_(0.3553544638314854815965203480357693837483e-4) }}, 
+      {{ SC_(3.0), SC_(9.41909885406494140625), SC_(0.6650566296468378472988726920086748003585e-5) }}, 
+      {{ SC_(3.0), SC_(11.0517024993896484375), SC_(0.1144371181126072990333305822631028836293e-5) }}, 
+      {{ SC_(3.0), SC_(13.9249114990234375), SC_(0.5347315388447377043403163944679603447308e-7) }}, 
+      {{ SC_(3.0), SC_(14.85147190093994140625), SC_(0.2005292511490303611276632620207772801349e-7) }}, 
+      {{ SC_(3.0), SC_(15.408351898193359375), SC_(0.1113701871038905614127352756301374756777e-7) }}, 
+      {{ SC_(3.0), SC_(24.2687816619873046875), SC_(0.1062151539703375863556969277607545810784e-11) }}, 
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+      {{ SC_(19.0), SC_(36.2919464111328125), SC_(0.3152031486467603894636760424644054490708e-17) }}, 
+      {{ SC_(19.0), SC_(39.905292510986328125), SC_(0.7971283471563883595647243305675430830003e-19) }}, 
+      {{ SC_(19.0), SC_(40.0140228271484375), SC_(0.713670625520853508845859925787605624071e-19) }}, 
+      {{ SC_(19.0), SC_(40.73618316650390625), SC_(0.3423968029396160381858047664609964057523e-19) }}, 
+      {{ SC_(19.0), SC_(41.75042724609375), SC_(0.1220850361811720898162895334790244786434e-19) }}, 
+      {{ SC_(19.0), SC_(45.2895965576171875), SC_(0.3348077781029727272690886420995939073007e-21) }}, 
+      {{ SC_(19.0), SC_(45.668792724609375), SC_(0.2277906429392425943516822259098792365619e-21) }}, 
+      {{ SC_(19.0), SC_(47.858348846435546875), SC_(0.2466258937525478225241536833849016808137e-22) }}, 
+      {{ SC_(19.0), SC_(47.87534332275390625), SC_(0.2424079008386988642363753465963711935866e-22) }}, 
+      {{ SC_(19.0), SC_(48.244426727294921875), SC_(0.1666655664849833148892461708398016166091e-22) }}, 
+      {{ SC_(19.0), SC_(48.384746551513671875), SC_(0.1445416596516947735796394469778719792034e-22) }}, 
+      {{ SC_(19.0), SC_(48.443389892578125), SC_(0.1361895170902993690500755665628455156467e-22) }}, 
+      {{ SC_(19.0), SC_(48.52964019775390625), SC_(0.1247745693242413617880762275589768971805e-22) }}, 
+      {{ SC_(19.0), SC_(49.055484771728515625), SC_(0.7317433348691693533972442490012924107111e-23) }}, 
+      {{ SC_(19.0), SC_(49.64406585693359375), SC_(0.4026907655194597356087538417554343184765e-23) }}, 
+      {{ SC_(19.0), SC_(49.82306671142578125), SC_(0.3358092679602377945368265530432149819446e-23) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expint_small_data.ipp b/src/boost/libs/math/test/expint_small_data.ipp
new file mode 100644
index 000000000..bea7135b7
--- /dev/null
+++ b/src/boost/libs/math/test/expint_small_data.ipp
@@ -0,0 +1,388 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 380> expint_small_data = {{
+      {{ SC_(0.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(577814.7758212256423775256378551874856003) }}, 
+      {{ SC_(0.0), SC_(0.216575062950141727924346923828125e-5), SC_(461732.6762508792015318981937822200350918) }}, 
+      {{ SC_(0.0), SC_(0.72700195232755504548549652099609375e-5), SC_(137550.2124589000541443257494936989244997) }}, 
+      {{ SC_(0.0), SC_(0.14000004739500582218170166015625e-4), SC_(71427.54725445416496694480545527677490243) }}, 
+      {{ SC_(0.0), SC_(0.17196454791701398789882659912109375e-4), SC_(58150.52089548332152905218845489376933772) }}, 
+      {{ SC_(0.0), SC_(0.60085076256655156612396240234375e-4), SC_(16642.0678648645272946820823309167585461) }}, 
+      {{ SC_(0.0), SC_(0.000116783194243907928466796875), SC_(8561.875962532232545332572615047016255041) }}, 
+      {{ SC_(0.0), SC_(0.000149052008055150508880615234375), SC_(6708.067688223899497757367667879930968793) }}, 
+      {{ SC_(0.0), SC_(0.0003985252114944159984588623046875), SC_(2508.25173755195584857212143870952023231) }}, 
+      {{ SC_(0.0), SC_(0.00063875340856611728668212890625), SC_(1564.549694997861843953582226130571046846) }}, 
+      {{ SC_(0.0), SC_(0.0010718167759478092193603515625), SC_(931.9958222627537459717559330883276580758) }}, 
+      {{ SC_(0.0), SC_(0.00302191521041095256805419921875), SC_(329.9174784073144324156862883962096967334) }}, 
+      {{ SC_(0.0), SC_(0.00499413348734378814697265625), SC_(199.2374290724703076159801092696400339127) }}, 
+      {{ SC_(0.0), SC_(0.00928423367440700531005859375), SC_(106.7141098014748145666899963724983770114) }}, 
+      {{ SC_(0.0), SC_(0.0241700224578380584716796875), SC_(40.38555342987263632091024457927399908981) }}, 
+      {{ SC_(0.0), SC_(0.06227754056453704833984375), SC_(15.08765533838058040972104376703012409721) }}, 
+      {{ SC_(0.0), SC_(0.12234418094158172607421875), SC_(7.232414021781513135268430322868745728174) }}, 
+      {{ SC_(0.0), SC_(0.249557673931121826171875), SC_(3.122105326937778672022451656660829990212) }}, 
+      {{ SC_(0.0), SC_(0.4912221431732177734375), SC_(1.245624088523070804276757644439503799036) }}, 
+      {{ SC_(1.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(12.68979643564902057445113029537557060384) }}, 
+      {{ SC_(1.0), SC_(0.216575062950141727924346923828125e-5), SC_(12.46553004636203965518423078801621406614) }}, 
+      {{ SC_(1.0), SC_(0.72700195232755504548549652099609375e-5), SC_(11.2545431860697943553517367149605754442) }}, 
+      {{ SC_(1.0), SC_(0.14000004739500582218170166015625e-4), SC_(10.5992512248675236793183882919991723644) }}, 
+      {{ SC_(1.0), SC_(0.17196454791701398789882659912109375e-4), SC_(10.39360884363072197965302323976810805946) }}, 
+      {{ SC_(1.0), SC_(0.60085076256655156612396240234375e-4), SC_(9.142593481727702781399755039472990143275) }}, 
+      {{ SC_(1.0), SC_(0.000116783194243907928466796875), SC_(8.478092497703841888257351897157795499674) }}, 
+      {{ SC_(1.0), SC_(0.000149052008055150508880615234375), SC_(8.23414864712424722136034054262711272215) }}, 
+      {{ SC_(1.0), SC_(0.0003985252114944159984588623046875), SC_(7.250922616359625879162196113845954202435) }}, 
+      {{ SC_(1.0), SC_(0.00063875340856611728668212890625), SC_(6.779415066673595920390207059288727481393) }}, 
+      {{ SC_(1.0), SC_(0.0010718167759478092193603515625), SC_(6.262256013645805034976972133526713777336) }}, 
+      {{ SC_(1.0), SC_(0.00302191521041095256805419921875), SC_(5.227668441815221372703241290567350771159) }}, 
+      {{ SC_(1.0), SC_(0.00499413348734378814697265625), SC_(4.727263598094615939046673594869014017738) }}, 
+      {{ SC_(1.0), SC_(0.00928423367440700531005859375), SC_(4.111484685210341022101979530301768631054) }}, 
+      {{ SC_(1.0), SC_(0.0241700224578380584716796875), SC_(3.169451246062171542238811993535958670845) }}, 
+      {{ SC_(1.0), SC_(0.06227754056453704833984375), SC_(2.260259939322263892205804391830568328218) }}, 
+      {{ SC_(1.0), SC_(0.12234418094158172607421875), SC_(1.642402990148853649294192107450058496557) }}, 
+      {{ SC_(1.0), SC_(0.249557673931121826171875), SC_(1.045662095585737033852768372992425480117) }}, 
+      {{ SC_(1.0), SC_(0.4912221431732177734375), SC_(0.570563675993986183667187214912446161025) }}, 
+      {{ SC_(2.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.9999763076811966831897766561746894854348) }}, 
+      {{ SC_(2.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.9999708370221707573655426375521705456129) }}, 
+      {{ SC_(2.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.999910909258214977122354162319349018702) }}, 
+      {{ SC_(2.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.9998376105258768057557573329394689665198) }}, 
+      {{ SC_(2.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.9998040704684643561925140532604520761726) }}, 
+      {{ SC_(2.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.9993905833022821790211571622936164235556) }}, 
+      {{ SC_(2.0), SC_(0.000116783194243907928466796875), SC_(0.9988931249016707081053405184509945116324) }}, 
+      {{ SC_(2.0), SC_(0.000149052008055150508880615234375), SC_(0.9986236427091650503801677112391142850053) }}, 
+      {{ SC_(2.0), SC_(0.0003985252114944159984588623046875), SC_(0.9967118787199152511223256805042743254983) }}, 
+      {{ SC_(2.0), SC_(0.00063875340856611728668212890625), SC_(0.9950310760690411830694553942700458450716) }}, 
+      {{ SC_(2.0), SC_(0.0010718167759478092193603515625), SC_(0.9922167663637865286439901988209755749909) }}, 
+      {{ SC_(2.0), SC_(0.00302191521041095256805419921875), SC_(0.9811850754001837523201422600369909453641) }}, 
+      {{ SC_(2.0), SC_(0.00499413348734378814697265625), SC_(0.9714097310243611715783408142596006996882) }}, 
+      {{ SC_(2.0), SC_(0.00928423367440700531005859375), SC_(0.9525867471869806036208170870856088617673) }}, 
+      {{ SC_(2.0), SC_(0.0241700224578380584716796875), SC_(0.899514025575894945250135338740921424329) }}, 
+      {{ SC_(2.0), SC_(0.06227754056453704833984375), SC_(0.7988586373022102057246901625949836282736) }}, 
+      {{ SC_(2.0), SC_(0.12234418094158172607421875), SC_(0.6839053211195040219693434236179451026624) }}, 
+      {{ SC_(2.0), SC_(0.249557673931121826171875), SC_(0.5181923428662377685394762787685048866534) }}, 
+      {{ SC_(2.0), SC_(0.4912221431732177734375), SC_(0.331604622613933458758263418893725943234) }}, 
+      {{ SC_(3.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.4999982693658376543091737671690095008434) }}, 
+      {{ SC_(3.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.4999978342821229854793933090060882477432) }}, 
+      {{ SC_(3.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.499992730317535704456607299984943350278) }}, 
+      {{ SC_(3.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.4999860011809870076130562371694389700641) }}, 
+      {{ SC_(3.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.4999828053037840548845718384848723742553) }}, 
+      {{ SC_(3.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.4999399341347037428568024707226853352885) }}, 
+      {{ SC_(3.0), SC_(0.000116783194243907928466796875), SC_(0.4998832848474067892057518818832512203809) }}, 
+      {{ SC_(3.0), SC_(0.000149052008055150508880615234375), SC_(0.4998510561202031850646246064500000857424) }}, 
+      {{ SC_(3.0), SC_(0.0003985252114944159984588623046875), SC_(0.4996021696884318821443832438164013431266) }}, 
+      {{ SC_(3.0), SC_(0.00063875340856611728668212890625), SC_(0.4993629355297475610790650823685848821969) }}, 
+      {{ SC_(3.0), SC_(0.0010718167759478092193603515625), SC_(0.4989326414194633805099515586523952746467) }}, 
+      {{ SC_(3.0), SC_(0.00302191521041095256805419921875), SC_(0.4970087940379552304612639268845472514031) }}, 
+      {{ SC_(3.0), SC_(0.00499413348734378814697265625), SC_(0.4950834832977331977677179906437250733682) }}, 
+      {{ SC_(3.0), SC_(0.00928423367440700531005859375), SC_(0.4909573468985959698257136388230010783411) }}, 
+      {{ SC_(3.0), SC_(0.0241700224578380584716796875), SC_(0.4771892295864653755887373794289668954978) }}, 
+      {{ SC_(3.0), SC_(0.06227754056453704833984375), SC_(0.4449355580849156787345354284758576392931) }}, 
+      {{ SC_(3.0), SC_(0.12234418094158172607421875), SC_(0.400585966685657543850238947546362051285) }}, 
+      {{ SC_(3.0), SC_(0.249557673931121826171875), SC_(0.3249132337119700131594392776225790919829) }}, 
+      {{ SC_(3.0), SC_(0.4912221431732177734375), SC_(0.2244933004729631534551199436414075158278) }}, 
+      {{ SC_(4.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.3333324680071245262715865645284048381042) }}, 
+      {{ SC_(4.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.3333322504603637963103582665303151431887) }}, 
+      {{ SC_(4.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.3333296983499974493372224529199642401407) }}, 
+      {{ SC_(4.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.3333263334289579635589330888999452889502) }}, 
+      {{ SC_(4.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.3333247352537861483970485437943510891261) }}, 
+      {{ SC_(4.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.3333032925999163851950867018863045026453) }}, 
+      {{ SC_(4.0), SC_(0.000116783194243907928466796875), SC_(0.3332749485526314189805479992822408219843) }}, 
+      {{ SC_(4.0), SC_(0.000149052008055150508880615234375), SC_(0.3332588184320001054426253340418943955967) }}, 
+      {{ SC_(4.0), SC_(0.0003985252114944159984588623046875), SC_(0.3331341500429304879323886027889306418722) }}, 
+      {{ SC_(4.0), SC_(0.00063875340856611728668212890625), SC_(0.333014160257927408406635357113451451623) }}, 
+      {{ SC_(4.0), SC_(0.0010718167759478092193603515625), SC_(0.3327979976797836072508267743048393663433) }}, 
+      {{ SC_(4.0), SC_(0.00302191521041095256805419921875), SC_(0.3318269092483597307661485853343450609366) }}, 
+      {{ SC_(4.0), SC_(0.00499413348734378814697265625), SC_(0.3308486011533795870796983158583450430641) }}, 
+      {{ SC_(4.0), SC_(0.00928423367440700531005859375), SC_(0.3287335230068152237322561573905418455842) }}, 
+      {{ SC_(4.0), SC_(0.0241700224578380584716796875), SC_(0.321528686325499046761296643527534796266) }}, 
+      {{ SC_(4.0), SC_(0.06227754056453704833984375), SC_(0.3039708583641707588487204824261130758999) }}, 
+      {{ SC_(4.0), SC_(0.12234418094158172607421875), SC_(0.2786114692448072420299674008584420739148) }}, 
+      {{ SC_(4.0), SC_(0.249557673931121826171875), SC_(0.2326869174413194941490162582911016352083) }}, 
+      {{ SC_(4.0), SC_(0.4912221431732177734375), SC_(0.1672006847220435577039399872043804888457) }}, 
+      {{ SC_(5.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.2499994231156112054464478225868175766528) }}, 
+      {{ SC_(5.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.2499992780842961167818165530973580904202) }}, 
+      {{ SC_(5.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.2499975766733721400779896480513000531392) }}, 
+      {{ SC_(5.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.2499953333807530756689397632193171572859) }}, 
+      {{ SC_(5.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.2499942679223314330462557114927736244578) }}, 
+      {{ SC_(5.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.2499799725437657315484048809036607807089) }}, 
+      {{ SC_(5.0), SC_(0.000116783194243907928466796875), SC_(0.2499610756778986060072655969409855563922) }}, 
+      {{ SC_(5.0), SC_(0.000149052008055150508880615234375), SC_(0.2499503215508885359803723774515238310774) }}, 
+      {{ SC_(5.0), SC_(0.0003985252114944159984588623046875), SC_(0.2498671979578819359594098594467548202963) }}, 
+      {{ SC_(5.0), SC_(0.00063875340856611728668212890625), SC_(0.2497871841552494748465221110450611975769) }}, 
+      {{ SC_(5.0), SC_(0.0010718167759478092193603515625), SC_(0.2496430147343942808033948163209649673697) }}, 
+      {{ SC_(5.0), SC_(0.00302191521041095256805419921875), SC_(0.2489949733488023051271180731389395708097) }}, 
+      {{ SC_(5.0), SC_(0.00499413348734378814697265625), SC_(0.2483415035962114594950005069148420510374) }}, 
+      {{ SC_(5.0), SC_(0.00928423367440700531005859375), SC_(0.2469266732272532034223040397507562406243) }}, 
+      {{ SC_(5.0), SC_(0.0241700224578380584716796875), SC_(0.2420870944507284922750390337420489762581) }}, 
+      {{ SC_(5.0), SC_(0.06227754056453704833984375), SC_(0.2301728774743846881561522041544016024552) }}, 
+      {{ SC_(5.0), SC_(0.12234418094158172607421875), SC_(0.2126893194298959031515617592899204600847) }}, 
+      {{ SC_(5.0), SC_(0.249557673931121826171875), SC_(0.1802691343219245000486413064752883220342) }}, 
+      {{ SC_(5.0), SC_(0.4912221431732177734375), SC_(0.1324363639158242626230482022654728761494) }}, 
+      {{ SC_(6.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1999995673366460049641967287178764376758) }}, 
+      {{ SC_(6.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.1999994585631243697640119955956215158009) }}, 
+      {{ SC_(6.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.1999981825039280130703307389527539339626) }}, 
+      {{ SC_(6.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.1999965000314815849734869604432305581943) }}, 
+      {{ SC_(6.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.1999957009355879937792673172585206209907) }}, 
+      {{ SC_(6.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.1999849793326204915379339620663404213245) }}, 
+      {{ SC_(6.0), SC_(0.000116783194243907928466796875), SC_(0.1999708064743587132406006868918039255621) }}, 
+      {{ SC_(6.0), SC_(0.000149052008055150508880615234375), SC_(0.1999627407004604659688373925079291930869) }}, 
+      {{ SC_(6.0), SC_(0.0003985252114944159984588623046875), SC_(0.1999003951622435866430026938266496921632) }}, 
+      {{ SC_(6.0), SC_(0.00063875340856611728668212890625), SC_(0.1998403796271336271407932741008590942797) }}, 
+      {{ SC_(6.0), SC_(0.0010718167759478092193603515625), SC_(0.1997322371686603290924085933634566379327) }}, 
+      {{ SC_(6.0), SC_(0.00302191521041095256805419921875), SC_(0.1992460408964423756244108293541117608605) }}, 
+      {{ SC_(6.0), SC_(0.00499413348734378814697265625), SC_(0.1987556131687399264370086252838978909125) }}, 
+      {{ SC_(6.0), SC_(0.00928423367440700531005859375), SC_(0.1976932413637066757394817471625577237966) }}, 
+      {{ SC_(6.0), SC_(0.0241700224578380584716796875), SC_(0.1940536965725227157665771390371888397218) }}, 
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+      {{ SC_(14.0), SC_(0.00928423367440700531005859375), SC_(0.07615329552520869775634144814095036449211) }}, 
+      {{ SC_(14.0), SC_(0.0241700224578380584716796875), SC_(0.07493522871519846308938791611988935762331) }}, 
+      {{ SC_(14.0), SC_(0.06227754056453704833984375), SC_(0.07190561993157011549765803135931994222671) }}, 
+      {{ SC_(14.0), SC_(0.12234418094158172607421875), SC_(0.06737858497395458474863130657857757639511) }}, 
+      {{ SC_(14.0), SC_(0.249557673931121826171875), SC_(0.05871542693672782953195581711588401645767) }}, 
+      {{ SC_(14.0), SC_(0.4912221431732177734375), SC_(0.04522286183143052947956742362768640870137) }}, 
+      {{ SC_(15.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.07142843830135678430557686186483907103332) }}, 
+      {{ SC_(15.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.07142840483256459556893886139866769560301) }}, 
+      {{ SC_(15.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.07142801219850261754791111032097799780857) }}, 
+      {{ SC_(15.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.07142749451329655914708777285149771592756) }}, 
+      {{ SC_(15.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.07142724863667819098544040349933483459537) }}, 
+      {{ SC_(15.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.07142394965005100519504785729035742912749) }}, 
+      {{ SC_(15.0), SC_(0.000116783194243907928466796875), SC_(0.07141958867417625278045171566133804924267) }}, 
+      {{ SC_(15.0), SC_(0.000149052008055150508880615234375), SC_(0.07141710681512763831624656689212439533833) }}, 
+      {{ SC_(15.0), SC_(0.0003985252114944159984588623046875), SC_(0.07139792225971062733216224219889843492458) }}, 
+      {{ SC_(15.0), SC_(0.00063875340856611728668212890625), SC_(0.07137945354728793815621837897126096496695) }}, 
+      {{ SC_(15.0), SC_(0.0010718167759478092193603515625), SC_(0.07134617183191733372828052493089770600179) }}, 
+      {{ SC_(15.0), SC_(0.00302191521041095256805419921875), SC_(0.07119649649342545512786733526338407058593) }}, 
+      {{ SC_(15.0), SC_(0.00499413348734378814697265625), SC_(0.07104544465318913130029520977272205803238) }}, 
+      {{ SC_(15.0), SC_(0.00928423367440700531005859375), SC_(0.07071797905446335190765005167612134211414) }}, 
+      {{ SC_(15.0), SC_(0.0241700224578380584716796875), SC_(0.06959346765795077653558839105295821251784) }}, 
+      {{ SC_(15.0), SC_(0.06227754056453704833984375), SC_(0.0667959972998317143729966269635932436109) }}, 
+      {{ SC_(15.0), SC_(0.12234418094158172607421875), SC_(0.06261431370954492875982416200591991469247) }}, 
+      {{ SC_(15.0), SC_(0.249557673931121826171875), SC_(0.05460660412773958169800526198387768453117) }}, 
+      {{ SC_(15.0), SC_(0.4912221431732177734375), SC_(0.0421188330888019402635824495314924339382) }}, 
+      {{ SC_(16.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.06666654304853809699945783166277385282533) }}, 
+      {{ SC_(16.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.06666651197037353362502658679389514469466) }}, 
+      {{ SC_(16.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.0666661473815906706976833386950951600242) }}, 
+      {{ SC_(16.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.0666656666738665594423295905799989143287) }}, 
+      {{ SC_(16.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.06666543835984096023360798850623321457013) }}, 
+      {{ SC_(16.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.06666237501435694077352966293019493851952) }}, 
+      {{ SC_(16.0), SC_(0.000116783194243907928466796875), SC_(0.06665832553446339453823619449641153525662) }}, 
+      {{ SC_(16.0), SC_(0.000149052008055150508880615234375), SC_(0.06665602094909754909286909682461902922413) }}, 
+      {{ SC_(16.0), SC_(0.0003985252114944159984588623046875), SC_(0.06663820668780405347821578869651693922563) }}, 
+      {{ SC_(16.0), SC_(0.00063875340856611728668212890625), SC_(0.06662105711211390111652234096260015918844) }}, 
+      {{ SC_(16.0), SC_(0.0010718167759478092193603515625), SC_(0.06659015249270820342229697822760925298911) }}, 
+      {{ SC_(16.0), SC_(0.00302191521041095256805419921875), SC_(0.0664511664269206027424005742189069408551) }}, 
+      {{ SC_(16.0), SC_(0.00499413348734378814697265625), SC_(0.06631090040192273720685590565904807744936) }}, 
+      {{ SC_(16.0), SC_(0.00928423367440700531005859375), SC_(0.06600681130071304531237155750190562009028) }}, 
+      {{ SC_(16.0), SC_(0.0241700224578380584716796875), SC_(0.06496251051306859685686412141792258653208) }}, 
+      {{ SC_(16.0), SC_(0.06227754056453704833984375), SC_(0.06236414512855743773641213229896183548994) }}, 
+      {{ SC_(16.0), SC_(0.12234418094158172607421875), SC_(0.05847888485328378106294664079191164865064) }}, 
+      {{ SC_(16.0), SC_(0.249557673931121826171875), SC_(0.05103452307007735926554556327773818214919) }}, 
+      {{ SC_(16.0), SC_(0.4912221431732177734375), SC_(0.0394125620596434965123587499491500472372) }}, 
+      {{ SC_(17.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.06249988462307945307908017581791268977313) }}, 
+      {{ SC_(17.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.06249985561679221676774980550769608140614) }}, 
+      {{ SC_(17.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.06249951533391939041337864186116416893234) }}, 
+      {{ SC_(17.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.06249906667335066952129732040559092146342) }}, 
+      {{ SC_(17.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.06249885358024184723716755518368815597862) }}, 
+      {{ SC_(17.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.06249599445718307493973764409020902900864) }}, 
+      {{ SC_(17.0), SC_(0.000116783194243907928466796875), SC_(0.06249221494077931309495003783005590817055) }}, 
+      {{ SC_(17.0), SC_(0.000149052008055150508880615234375), SC_(0.06249006399286700569832074698786566925701) }}, 
+      {{ SC_(17.0), SC_(0.0003985252114944159984588623046875), SC_(0.06247343732398223434411132037030316052086) }}, 
+      {{ SC_(17.0), SC_(0.00063875340856611728668212890625), SC_(0.06245743100772817456409663607219418267563) }}, 
+      {{ SC_(17.0), SC_(0.0010718167759478092193603515625), SC_(0.06242858656074609674340793412520265769202) }}, 
+      {{ SC_(17.0), SC_(0.00302191521041095256805419921875), SC_(0.0622988647743072145354092596903005273557) }}, 
+      {{ SC_(17.0), SC_(0.00499413348734378814697265625), SC_(0.0621679469359271011639958295023269764062) }}, 
+      {{ SC_(17.0), SC_(0.00928423367440700531005859375), SC_(0.06188411931831255179325908903786178409114) }}, 
+      {{ SC_(17.0), SC_(0.0241700224578380584716796875), SC_(0.0609093492521388775469551843749806027059) }}, 
+      {{ SC_(17.0), SC_(0.06227754056453704833984375), SC_(0.0584836363613583832127398530378980108328) }}, 
+      {{ SC_(17.0), SC_(0.12234418094158172607421875), SC_(0.05485557615346988551034803028047672930453) }}, 
+      {{ SC_(17.0), SC_(0.249557673931121826171875), SC_(0.04790058039318774966694255640723585925481) }}, 
+      {{ SC_(17.0), SC_(0.4912221431732177734375), SC_(0.03703236319685020300958697194277916844504) }}, 
+      {{ SC_(18.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.05882342124590124743503668917708420145518) }}, 
+      {{ SC_(18.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.05882339405250671111581257451611106191635) }}, 
+      {{ SC_(18.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.05882307503730626938175588111928585498593) }}, 
+      {{ SC_(18.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.05882265441800179218625554918997835286824) }}, 
+      {{ SC_(18.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.05882245464319743258599789131069371575228) }}, 
+      {{ SC_(18.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.05881977421483662888664297358478870305647) }}, 
+      {{ SC_(18.0), SC_(0.000116783194243907928466796875), SC_(0.0588162309167159831370507751429249096136) }}, 
+      {{ SC_(18.0), SC_(0.000149052008055150508880615234375), SC_(0.05881421440177187580343423242512009971648) }}, 
+      {{ SC_(18.0), SC_(0.0003985252114944159984588623046875), SC_(0.05879862687937101718003654785828567378979) }}, 
+      {{ SC_(18.0), SC_(0.00063875340856611728668212890625), SC_(0.05878362092082452731016712169968859340322) }}, 
+      {{ SC_(18.0), SC_(0.0010718167759478092193603515625), SC_(0.05875657914165397869174629461513706700597) }}, 
+      {{ SC_(18.0), SC_(0.00302191521041095256805419921875), SC_(0.05863496378190809879409693964081298572753) }}, 
+      {{ SC_(18.0), SC_(0.00499413348734378814697265625), SC_(0.05851222596691027379082269719377427641588) }}, 
+      {{ SC_(18.0), SC_(0.00928423367440700531005859375), SC_(0.05824612853698429641923284472585223102581) }}, 
+      {{ SC_(18.0), SC_(0.0241700224578380584716796875), SC_(0.05733220900193670301704905656625237704967) }}, 
+      {{ SC_(18.0), SC_(0.06227754056453704833984375), SC_(0.05505763825434673012796407470855753202628) }}, 
+      {{ SC_(18.0), SC_(0.12234418094158172607421875), SC_(0.0516548534818056121546604299679736700432) }}, 
+      {{ SC_(18.0), SC_(0.249557673931121826171875), SC_(0.04512890504327541405581236239109694591622) }}, 
+      {{ SC_(18.0), SC_(0.4912221431732177734375), SC_(0.03492276573742135444124721201053141343969) }}, 
+      {{ SC_(19.0), SC_(0.1730655412757187150418758392333984375e-5), SC_(0.05555545375238958055070296836154042278148) }}, 
+      {{ SC_(19.0), SC_(0.216575062950141727924346923828125e-5), SC_(0.05555542815860627978655071793595712560455) }}, 
+      {{ SC_(19.0), SC_(0.72700195232755504548549652099609375e-5), SC_(0.05555512790899996177912196960367217844985) }}, 
+      {{ SC_(19.0), SC_(0.14000004739500582218170166015625e-4), SC_(0.05555473203198997035603620704636908809792) }}, 
+      {{ SC_(19.0), SC_(0.17196454791701398789882659912109375e-4), SC_(0.0555545440086324706169620903193223815888) }}, 
+      {{ SC_(19.0), SC_(0.60085076256655156612396240234375e-4), SC_(0.05555202125212201603991344567350516412012) }}, 
+      {{ SC_(19.0), SC_(0.000116783194243907928466796875), SC_(0.05554868638207377961222457350655311699087) }}, 
+      {{ SC_(19.0), SC_(0.000149052008055150508880615234375), SC_(0.0555467884846047083384104067993782562285) }}, 
+      {{ SC_(19.0), SC_(0.0003985252114944159984588623046875), SC_(0.05553211785855094070193498404565764766408) }}, 
+      {{ SC_(19.0), SC_(0.00063875340856611728668212890625), SC_(0.05551799457292957769783835164124369758407) }}, 
+      {{ SC_(19.0), SC_(0.0010718167759478092193603515625), SC_(0.05549254339595949030608724637993842293557) }}, 
+      {{ SC_(19.0), SC_(0.00302191521041095256805419921875), SC_(0.05537808090503200278730106215360027103479) }}, 
+      {{ SC_(19.0), SC_(0.00499413348734378814697265625), SC_(0.05526256103311035590358747232544709551335) }}, 
+      {{ SC_(19.0), SC_(0.00928423367440700531005859375), SC_(0.05501210894918067939819530617078899142577) }}, 
+      {{ SC_(19.0), SC_(0.0241700224578380584716796875), SC_(0.05415188958850589857220572747127058337905) }}, 
+      {{ SC_(19.0), SC_(0.06227754056453704833984375), SC_(0.05201073405888765875221070931942632402262) }}, 
+      {{ SC_(19.0), SC_(0.12234418094158172607421875), SC_(0.04880689438802118463144973826036250259302) }}, 
+      {{ SC_(19.0), SC_(0.249557673931121826171875), SC_(0.04266017103271657719951582163012671039402) }}, 
+      {{ SC_(19.0), SC_(0.4912221431732177734375), SC_(0.03304018325118980221254092304969558212594) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expinti_data.ipp b/src/boost/libs/math/test/expinti_data.ipp
new file mode 100644
index 000000000..0d15a709f
--- /dev/null
+++ b/src/boost/libs/math/test/expinti_data.ipp
@@ -0,0 +1,344 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 336> expinti_data = {{
+      {{ SC_(-49.689971923828125), SC_(-0.5189914452467706181911213069148082266893e-23) }}, 
+      {{ SC_(-49.490234375), SC_(-0.6362401135264284153452455085506782750647e-23) }}, 
+      {{ SC_(-49.47381591796875), SC_(-0.6469829627301154800340680350229540167762e-23) }}, 
+      {{ SC_(-49.109668731689453125), SC_(-0.937965617499186961883342318134168114907e-23) }}, 
+      {{ SC_(-48.69077301025390625), SC_(-0.1438002258908106326351299430868912629378e-22) }}, 
+      {{ SC_(-48.5106964111328125), SC_(-0.1728000132640339028589502655738823027867e-22) }}, 
+      {{ SC_(-48.044872283935546875), SC_(-0.2779439615740334951105570945539716295032e-22) }}, 
+      {{ SC_(-46.498386383056640625), SC_(-0.1347452831431197364179115494975704338441e-21) }}, 
+      {{ SC_(-46.225093841552734375), SC_(-0.1781193691784135039948913637371768811083e-21) }}, 
+      {{ SC_(-46.21092987060546875), SC_(-0.1807144449606719884758204680891841205212e-21) }}, 
+      {{ SC_(-46.07171630859375), SC_(-0.2083224907084183832424058026703771220474e-21) }}, 
+      {{ SC_(-45.99146270751953125), SC_(-0.2261161370639941533874318532661368660359e-21) }}, 
+      {{ SC_(-45.54817962646484375), SC_(-0.3556041033058530933762241390777221084271e-21) }}, 
+      {{ SC_(-45.04344940185546875), SC_(-0.5955350514558786142053309726857087311429e-21) }}, 
+      {{ SC_(-44.921146392822265625), SC_(-0.6748061149415831787816898069300771337011e-21) }}, 
+      {{ SC_(-44.366191864013671875), SC_(-0.1189810693892140146725035626514689534384e-20) }}, 
+      {{ SC_(-44.065486907958984375), SC_(-0.1617943260346693355541238773884456402131e-20) }}, 
+      {{ SC_(-42.564510345458984375), SC_(-0.7508521784292956555049663090063210339236e-20) }}, 
+      {{ SC_(-41.65602874755859375), SC_(-0.1902237115363634179207156972256911270036e-19) }}, 
+      {{ SC_(-41.643665313720703125), SC_(-0.1926460223216498626564145997341831122167e-19) }}, 
+      {{ SC_(-41.46872711181640625), SC_(-0.2304209021566303248261300380232548536606e-19) }}, 
+      {{ SC_(-41.400691986083984375), SC_(-0.2470393735589908561748312777657558449938e-19) }}, 
+      {{ SC_(-40.7796478271484375), SC_(-0.4665489090348590088892832574733877627252e-19) }}, 
+      {{ SC_(-40.712055206298828125), SC_(-0.4999841334502210157248794528480866083337e-19) }}, 
+      {{ SC_(-39.510929107666015625), SC_(-0.1711205236582734104034468188313993053133e-18) }}, 
+      {{ SC_(-39.3155059814453125), SC_(-0.2090623264737543134488804288570287187466e-18) }}, 
+      {{ SC_(-39.270557403564453125), SC_(-0.2189181301371969956898734656820283591514e-18) }}, 
+      {{ SC_(-38.26819610595703125), SC_(-0.6117321854640996737992349893398315143733e-18) }}, 
+      {{ SC_(-37.9152069091796875), SC_(-0.8785955246457078845733834215638759432102e-18) }}, 
+      {{ SC_(-37.628902435302734375), SC_(-0.1178529325141498446240403317681089430123e-17) }}, 
+      {{ SC_(-36.91025543212890625), SC_(-0.2463830668835851637664366500894910731401e-17) }}, 
+      {{ SC_(-36.849811553955078125), SC_(-0.26215321484857982843437445475200392826e-17) }}, 
+      {{ SC_(-36.434917449951171875), SC_(-0.4013604158054956102381643294616861600937e-17) }}, 
+      {{ SC_(-36.22989654541015625), SC_(-0.4954070919347881798661389820765284703293e-17) }}, 
+      {{ SC_(-36.151371002197265625), SC_(-0.5370115748619942846995056236200542722029e-17) }}, 
+      {{ SC_(-36.0314483642578125), SC_(-0.607395305918129149416531788551080247298e-17) }}, 
+      {{ SC_(-35.710315704345703125), SC_(-0.8447444058571321223562848170132272760574e-17) }}, 
+      {{ SC_(-35.3704376220703125), SC_(-0.1197781809600591211033914907221945799548e-16) }}, 
+      {{ SC_(-35.097530364990234375), SC_(-0.1585533750794002114788183801172421930711e-16) }}, 
+      {{ SC_(-35.032459259033203125), SC_(-0.1695197166162417180772352306691754347417e-16) }}, 
+      {{ SC_(-34.819854736328125), SC_(-0.2109244705480778173400075610148135850665e-16) }}, 
+      {{ SC_(-34.751312255859375), SC_(-0.2263224452346398759852695717206224969765e-16) }}, 
+      {{ SC_(-34.3925018310546875), SC_(-0.3272986079708841109973691119640729899672e-16) }}, 
+      {{ SC_(-34.054973602294921875), SC_(-0.4631254422748072673716271830348503655722e-16) }}, 
+      {{ SC_(-33.990711212158203125), SC_(-0.4947724616135280674694624593161655499417e-16) }}, 
+      {{ SC_(-33.597461700439453125), SC_(-0.7414940191228214696888223680604909022873e-16) }}, 
+      {{ SC_(-33.57765960693359375), SC_(-0.756757300887760805540854651208858682068e-16) }}, 
+      {{ SC_(-33.2384185791015625), SC_(-0.107294068831277583736449351876748813907e-15) }}, 
+      {{ SC_(-33.01177215576171875), SC_(-0.1354864993921957916546792647862260697468e-15) }}, 
+      {{ SC_(-32.66255950927734375), SC_(-0.1941093737430240934530108031230878545462e-15) }}, 
+      {{ SC_(-32.613666534423828125), SC_(-0.204132772872516639905834010047613657569e-15) }}, 
+      {{ SC_(-32.159946441650390625), SC_(-0.3257412136825485821320656994134128511202e-15) }}, 
+      {{ SC_(-32.11270904541015625), SC_(-0.3419855833378806479533913787891698469742e-15) }}, 
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+      {{ SC_(27.6650714874267578125), SC_(38860718906.05169447986846371460827946851) }}, 
+      {{ SC_(28.030132293701171875), SC_(55224345285.73183315482360024631420661039) }}, 
+      {{ SC_(28.1774234771728515625), SC_(63640104036.92648906241078382739179720716) }}, 
+      {{ SC_(28.771076202392578125), SC_(112755629580.1567007685754818929698465233) }}, 
+      {{ SC_(29.2542781829833984375), SC_(179670592771.6875712257676967047727294651) }}, 
+      {{ SC_(29.84228515625), SC_(316865442957.5609324434506204080682970604) }}, 
+      {{ SC_(29.9650173187255859375), SC_(356720167837.8059821256007389978942158479) }}, 
+      {{ SC_(30.60785675048828125), SC_(663668224048.0604218612696926330408705931) }}, 
+      {{ SC_(30.651767730712890625), SC_(692430279700.9637790480873609641395475303) }}, 
+      {{ SC_(31.47119903564453125), SC_(1528910755990.844994280853960653895757449) }}, 
+      {{ SC_(31.744571685791015625), SC_(1991673673982.885396571525113897855042645) }}, 
+      {{ SC_(32.2966766357421875), SC_(3398181411672.422126614376199484878709082) }}, 
+      {{ SC_(32.49350738525390625), SC_(4111498043870.037918808870011846450846812) }}, 
+      {{ SC_(32.639377593994140625), SC_(4735210781514.282917532917045901722362452) }}, 
+      {{ SC_(32.9102020263671875), SC_(6155269461572.004859718923506587585651898) }}, 
+      {{ SC_(33.015533447265625), SC_(6816439946334.964794674640603518324460658) }}, 
+      {{ SC_(33.292026519775390625), SC_(8910343016135.140885096036479635757392035) }}, 
+      {{ SC_(33.351413726806640625), SC_(9438137404966.366739297549042509103959184) }}, 
+      {{ SC_(33.790431976318359375), SC_(14443862666819.21046289715593905528182097) }}, 
+      {{ SC_(33.866344451904296875), SC_(15546956543575.59764405635272615745868862) }}, 
+      {{ SC_(34.012500762939453125), SC_(17913865016638.12842343852721911357435736) }}, 
+      {{ SC_(34.20684814453125), SC_(21629122436899.19912288305015863841369024) }}, 
+      {{ SC_(35.130886077880859375), SC_(53015183051332.74153203541356793785468028) }}, 
+      {{ SC_(35.24015045166015625), SC_(58947101093536.87223820738247177154640853) }}, 
+      {{ SC_(35.67874908447265625), SC_(90241306347642.26414493832961429071231867) }}, 
+      {{ SC_(35.70839691162109375), SC_(92877271582193.34830869185118876551411853) }}, 
+      {{ SC_(37.142803192138671875), SC_(374322570986670.3197355366942794241040052) }}, 
+      {{ SC_(37.295734405517578125), SC_(434336543053163.6784396158427358728630635) }}, 
+      {{ SC_(37.337249755859375), SC_(452229579706005.3198360961998657288335433) }}, 
+      {{ SC_(37.371295928955078125), SC_(467452657592235.4557742032788566543129601) }}, 
+      {{ SC_(37.47199249267578125), SC_(515545372809301.8307905963516087180550462) }}, 
+      {{ SC_(37.700786590576171875), SC_(644036634222999.9230954385992851671021201) }}, 
+      {{ SC_(37.77214813232421875), SC_(690331189582367.0242854882027008973993238) }}, 
+      {{ SC_(37.7916412353515625), SC_(703546341004539.6440063503740195080075798) }}, 
+      {{ SC_(38.007534027099609375), SC_(867977923035967.2387116719471097584367879) }}, 
+      {{ SC_(38.030849456787109375), SC_(887892682109427.8216437485269424411635003) }}, 
+      {{ SC_(38.232257843017578125), SC_(1080118946394155.640540236541909448482468) }}, 
+      {{ SC_(38.828411102294921875), SC_(1929604067639860.142261254221961073466133) }}, 
+      {{ SC_(38.8993072509765625), SC_(2067490868399521.448714428128264044795958) }}, 
+      {{ SC_(39.070796966552734375), SC_(2443188466949830.286454990607186034125934) }}, 
+      {{ SC_(39.57132720947265625), SC_(3977896133471904.309030036870273146195475) }}, 
+      {{ SC_(39.619602203369140625), SC_(4169413741026091.435196275993524526107061) }}, 
+      {{ SC_(39.903354644775390625), SC_(5496968390256242.123534199929484292088181) }}, 
+      {{ SC_(40.292484283447265625), SC_(8031404394724528.542925073441994364789595) }}, 
+      {{ SC_(40.337055206298828125), SC_(8387940643235804.328777240761144315540951) }}, 
+      {{ SC_(40.40936279296875), SC_(9000350988468569.862069911874242513693811) }}, 
+      {{ SC_(40.486545562744140625), SC_(9703503769049494.903270793598303590559637) }}, 
+      {{ SC_(40.58036041259765625), SC_(10632608216710854.46031088764839485644682) }}, 
+      {{ SC_(40.839870452880859375), SC_(13693091147862452.41874314869980290347395) }}, 
+      {{ SC_(41.391147613525390625), SC_(23439146134369609.98587928723498036090512) }}, 
+      {{ SC_(41.850940704345703125), SC_(36703294479064600.3832020868783140575162) }}, 
+      {{ SC_(42.4788970947265625), SC_(67731301681578920.49039567895447521625383) }}, 
+      {{ SC_(43.331455230712890625), SC_(155669602636333053.4786944018929963653098) }}, 
+      {{ SC_(43.404224395751953125), SC_(167132241928819035.0710856728527709620153) }}, 
+      {{ SC_(43.8334197998046875), SC_(254143262583491699.1980601913565298527589) }}, 
+      {{ SC_(43.9896087646484375), SC_(296024739641759806.6894125116837989457761) }}, 
+      {{ SC_(44.14626312255859375), SC_(344969417880314064.475422911828132537173) }}, 
+      {{ SC_(44.89459991455078125), SC_(716642754835341877.2986625908564001827266) }}, 
+      {{ SC_(45.55641937255859375), SC_(1368424686960668756.908114295234155840218) }}, 
+      {{ SC_(45.622142791748046875), SC_(1459228779377576203.085179194127347039233) }}, 
+      {{ SC_(45.96717071533203125), SC_(2044647179130784910.065675826506375503182) }}, 
+      {{ SC_(46.443317413330078125), SC_(3257069147351952822.406316784082908654148) }}, 
+      {{ SC_(46.62737274169921875), SC_(3899455212627022627.757193164190203742303) }}, 
+      {{ SC_(47.999355316162109375), SC_(14926880987843627550.42423425846631056877) }}, 
+      {{ SC_(49.637111663818359375), SC_(74190413685387077283.04485547837473387867) }}, 
+      {{ SC_(49.81011962890625), SC_(87890252389194795154.44680392696975525721) }}, 
+      {{ SC_(50.171234130859375), SC_(125189140534515913902.5259763391614688736) }}, 
+      {{ SC_(50.383525848388671875), SC_(154131408309808097686.7891755712917358669) }}, 
+      {{ SC_(50.46710968017578125), SC_(167284637436075321503.8911970981891929543) }}, 
+      {{ SC_(50.471343994140625), SC_(167980083475835196141.8258748379299905807) }}, 
+      {{ SC_(50.7309112548828125), SC_(216626578190231872367.3411388285205467896) }}, 
+      {{ SC_(50.891300201416015625), SC_(253494280682248147653.5031137670581769109) }}, 
+      {{ SC_(51.29622650146484375), SC_(376974396494639297221.5916323256511307768) }}, 
+      {{ SC_(52.0242156982421875), SC_(769533307813336085464.2719431240758770955) }}, 
+      {{ SC_(52.21900177001953125), SC_(931463445412117009569.997805462678793371) }}, 
+      {{ SC_(52.4724273681640625), SC_(1194213241460405145426.923208285103882948) }}, 
+      {{ SC_(52.739253997802734375), SC_(1551371845141512428417.754279321277408047) }}, 
+      {{ SC_(52.741176605224609375), SC_(1554299590225018307998.020329038078465699) }}, 
+      {{ SC_(53.40814208984375), SC_(2989698064310689472929.903511572929914131) }}, 
+      {{ SC_(54.5244293212890625), SC_(8938496865444328223663.418183347060066178) }}, 
+      {{ SC_(55.05193328857421875), SC_(15000102942849475726352.24634597020497441) }}, 
+      {{ SC_(55.28836822509765625), SC_(18918195096476420185424.79716369248547301) }}, 
+      {{ SC_(55.32575225830078125), SC_(19625295432594734639694.04077946718413513) }}, 
+      {{ SC_(55.522052764892578125), SC_(23795829974930383969706.74411638885122467) }}, 
+      {{ SC_(55.544170379638671875), SC_(24318128427099146738245.91342763630756375) }}, 
+      {{ SC_(55.57183837890625), SC_(24987672558936599326235.83821092811506408) }}, 
+      {{ SC_(55.808788299560546875), SC_(31531809737095643566486.71781327383155317) }}, 
+      {{ SC_(56.137737274169921875), SC_(43552095758129714470140.32600682101217921) }}, 
+      {{ SC_(56.146297454833984375), SC_(43919686479374955504528.98148221455056972) }}, 
+      {{ SC_(56.446441650390625), SC_(58972731376406161145451.87899710728216492) }}, 
+      {{ SC_(56.5754547119140625), SC_(66937712106290641632239.78290159424299056) }}, 
+      {{ SC_(56.765209197998046875), SC_(80648977731394081623112.8051042421861491) }}, 
+      {{ SC_(57.47022247314453125), SC_(161184177439288421438465.5484877575634735) }}, 
+      {{ SC_(57.791820526123046875), SC_(221066403776152634685122.7495432888528563) }}, 
+      {{ SC_(57.92206573486328125), SC_(251241864908534403966454.9934420615252414) }}, 
+      {{ SC_(58.059658050537109375), SC_(287606300821348197823323.3455461108172774) }}, 
+      {{ SC_(58.620555877685546875), SC_(499047878771232722946891.2015515727402121) }}, 
+      {{ SC_(58.721736907958984375), SC_(551216418687710616233343.712210604071037) }}, 
+      {{ SC_(58.73737335205078125), SC_(559751492456295202734141.0778013286664605) }}, 
+      {{ SC_(59.21694183349609375), SC_(896756596017748427943431.7704197691518272) }}, 
+      {{ SC_(59.3475341796875), SC_(1019568455497745443792447.961272554810421) }}, 
+      {{ SC_(59.574817657470703125), SC_(1274778904679711262832523.146694528881756) }}, 
+      {{ SC_(59.610748291015625), SC_(1320604762679106118330023.701104305685706) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expinti_data_double.ipp b/src/boost/libs/math/test/expinti_data_double.ipp
new file mode 100644
index 000000000..6bee1d5d9
--- /dev/null
+++ b/src/boost/libs/math/test/expinti_data_double.ipp
@@ -0,0 +1,108 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> expinti_data_double = {{
+      {{ SC_(102.87009429931640625), SC_(4654899469800805764672952463660041015404000.0) }}, 
+      {{ SC_(119.09970855712890625), SC_(0.4488787864805080932333174640972770490538e50) }}, 
+      {{ SC_(120.6676483154296875), SC_(0.2124946028694675872596376925084081671409e51) }}, 
+      {{ SC_(121.42700958251953125), SC_(0.4512183727732527195281492082353068494556e51) }}, 
+      {{ SC_(121.86475372314453125), SC_(0.6964992423126020624418128987604728390362e51) }}, 
+      {{ SC_(127.7028350830078125), SC_(0.2279700329256221183052489611729485531343e54) }}, 
+      {{ SC_(130.7298583984375), SC_(0.4594543786954020597612997101862332382815e55) }}, 
+      {{ SC_(158.2790679931640625), SC_(0.3491987572497265283430495639424245161776e67) }}, 
+      {{ SC_(158.5242462158203125), SC_(0.4455287145500353654763437019012245914284e67) }}, 
+      {{ SC_(165.91705322265625), SC_(0.6912119996498744776551301234337228896794e70) }}, 
+      {{ SC_(167.4787139892578125), SC_(0.326391223691365039787070460177842703726e71) }}, 
+      {{ SC_(175.1096649169921875), SC_(0.6432100430305357924660611042288806557127e74) }}, 
+      {{ SC_(175.5379791259765625), SC_(0.984691477953540716615977148580851612426e74) }}, 
+      {{ SC_(176.1920928955078125), SC_(0.1886920114953374654886114337300975535295e75) }}, 
+      {{ SC_(181.2862091064453125), SC_(0.2989862847852351506449654279623175818276e77) }}, 
+      {{ SC_(185.131805419921875), SC_(0.1369637565311070319468869408302175020227e79) }}, 
+      {{ SC_(189.4683837890625), SC_(0.1022933561959569428116028573369712959689e81) }}, 
+      {{ SC_(194.5678558349609375), SC_(0.1632768521286416542097135533095455177471e83) }}, 
+      {{ SC_(202.712005615234375), SC_(0.5394913535503452815798780947886876429896e86) }}, 
+      {{ SC_(204.3191070556640625), SC_(0.266988871270822922902591264774139389463e87) }}, 
+      {{ SC_(212.123565673828125), SC_(0.6303288415421386740517895306336947600047e90) }}, 
+      {{ SC_(213.0291748046875), SC_(0.1552420011212288898683659113258420389942e91) }}, 
+      {{ SC_(226.1254425048828125), SC_(0.7122229519086770010493744714810456037758e96) }}, 
+      {{ SC_(227.15460205078125), SC_(0.1984236104811331566958586895971472749551e97) }}, 
+      {{ SC_(232.62042236328125), SC_(0.4581388566249763831986535890804413533361e99) }}, 
+      {{ SC_(266.153778076171875), SC_(0.1464284823232428349504366357670506664606e114) }}, 
+      {{ SC_(267.09893798828125), SC_(0.3754550321478881080837201630749628066915e114) }}, 
+      {{ SC_(278.2176513671875), SC_(0.2429828209076613873458952686349499170143e119) }}, 
+      {{ SC_(281.147857666015625), SC_(0.4503824419536589690469228449149704329645e120) }}, 
+      {{ SC_(284.900238037109375), SC_(0.1894265905804735697510091486272554808834e122) }}, 
+      {{ SC_(289.930267333984375), SC_(0.2846606517420129071955201585454115986331e124) }}, 
+      {{ SC_(290.259674072265625), SC_(0.39526840660281511332137740213452297475e124) }}, 
+      {{ SC_(316.776397705078125), SC_(0.1188136226285138671097715211294885613261e136) }}, 
+      {{ SC_(328.93505859375), SC_(0.2182212639027467806212909144237589962574e141) }}, 
+      {{ SC_(335.336212158203125), SC_(0.1289694992441169816466607238785447573694e144) }}, 
+      {{ SC_(339.243133544921875), SC_(0.6341554830794841647273380024739218173519e145) }}, 
+      {{ SC_(345.23870849609375), SC_(0.2502707079015256413360729708739472586996e148) }}, 
+      {{ SC_(353.0567626953125), SC_(0.6081275380494346069537610386054436827084e151) }}, 
+      {{ SC_(353.252593994140625), SC_(0.7392674930634857604064928936832561047528e151) }}, 
+      {{ SC_(363.246612548828125), SC_(0.1573977048026212180539326023109084395454e156) }}, 
+      {{ SC_(367.351715087890625), SC_(0.9439039533362185936065067145525348987048e157) }}, 
+      {{ SC_(374.793487548828125), SC_(0.1578028673470190623900612461257603840414e161) }}, 
+      {{ SC_(384.855224609375), SC_(0.3600276754143745485244589154691966465381e165) }}, 
+      {{ SC_(391.225372314453125), SC_(0.2068748707894393683497591012649949622203e168) }}, 
+      {{ SC_(392.541351318359375), SC_(0.7687196958833528385591120302020777152611e168) }}, 
+      {{ SC_(393.858642578125), SC_(0.2860234483451614302230860963468500787004e169) }}, 
+      {{ SC_(394.353424072265625), SC_(0.468528356426515701193951809153160635264e169) }}, 
+      {{ SC_(402.1976318359375), SC_(0.1171808089560200191770907797339877928134e173) }}, 
+      {{ SC_(428.12890625), SC_(0.2011244899732843068179501387740539518665e184) }}, 
+      {{ SC_(428.332366943359375), SC_(0.2463882456108220623335396182335238049978e184) }}, 
+      {{ SC_(479.415557861328125), SC_(0.3370760755402075136867387081832481381884e206) }}, 
+      {{ SC_(483.858001708984375), SC_(0.2838197444669518328148323406487783086905e208) }}, 
+      {{ SC_(487.787811279296875), SC_(0.143290343327313200442365090263240144269e210) }}, 
+      {{ SC_(493.2867431640625), SC_(0.3463332679043421510270870135017998699304e212) }}, 
+      {{ SC_(493.44439697265625), SC_(0.4053436082306786060312645931633934496659e212) }}, 
+      {{ SC_(498.163299560546875), SC_(0.4498573166263689115195724188943233736555e214) }}, 
+      {{ SC_(507.2410888671875), SC_(0.3869458554978062751502315639584587941431e218) }}, 
+      {{ SC_(508.815704345703125), SC_(0.1862722954440262359736876867660438647055e219) }}, 
+      {{ SC_(516.89715576171875), SC_(0.5929539458008759668618166365480530357574e222) }}, 
+      {{ SC_(523.627685546875), SC_(0.490256757720855085525310071865504294369e225) }}, 
+      {{ SC_(525.618896484375), SC_(0.357720625670250295507690509025554576924e226) }}, 
+      {{ SC_(535.50335693359375), SC_(0.6889759236100754327282718895680993386846e230) }}, 
+      {{ SC_(544.38836669921875), SC_(0.4895023821578599017471211778436380380851e234) }}, 
+      {{ SC_(545.87945556640625), SC_(0.2168384886985358923425414610198222504761e235) }}, 
+      {{ SC_(552.81201171875), SC_(0.2194908907077200735474576859355376276996e238) }}, 
+      {{ SC_(554.64410400390625), SC_(0.1366609803311340085634888162278346794975e239) }}, 
+      {{ SC_(558.25), SC_(0.4998570812776135939052842271424771438308e240) }}, 
+      {{ SC_(559.31011962890625), SC_(0.1440205702121135197609975402434930330836e241) }}, 
+      {{ SC_(575.32440185546875), SC_(0.1261993396536182845635950097162949293812e248) }}, 
+      {{ SC_(576.385009765625), SC_(0.3638077665497671657713912984804072342658e248) }}, 
+      {{ SC_(577.11993408203125), SC_(0.7576893430265850749719869973928888261581e248) }}, 
+      {{ SC_(578.367919921875), SC_(0.2633569534665923102825640510310718246757e249) }}, 
+      {{ SC_(578.7572021484375), SC_(0.3884321712516615414225859937380556292439e249) }}, 
+      {{ SC_(578.863525390625), SC_(0.4319275188177097667628494729863878264458e249) }}, 
+      {{ SC_(580.16827392578125), SC_(0.1588826507174073600934477712203698999436e250) }}, 
+      {{ SC_(584.51861572265625), SC_(0.1222238450958130847374075209904594309916e252) }}, 
+      {{ SC_(588.834228515625), SC_(0.9082441109422063046992881078366160444507e253) }}, 
+      {{ SC_(593.1419677734375), SC_(0.6696671407396550532370011475709646515434e255) }}, 
+      {{ SC_(594.07470703125), SC_(0.1699256492240263485176709898640795327905e256) }}, 
+      {{ SC_(601.005126953125), SC_(0.1718131816979918101950016705556617558037e259) }}, 
+      {{ SC_(609.47760009765625), SC_(0.8100561951389239245138612767305143306984e262) }}, 
+      {{ SC_(623.457275390625), SC_(0.9331382282084315894480060552801462030494e268) }}, 
+      {{ SC_(627.05841064453125), SC_(0.3399333946028564608617370823657507561735e270) }}, 
+      {{ SC_(643.47515869140625), SC_(0.4465348678487959522963305527404292744891e277) }}, 
+      {{ SC_(648.0255126953125), SC_(0.4197434532469066342906967841224435165556e279) }}, 
+      {{ SC_(649.44134521484375), SC_(0.1725531471297453891677758589012301168234e280) }}, 
+      {{ SC_(652.52484130859375), SC_(0.3749798510829081836112102781820076672405e281) }}, 
+      {{ SC_(660.39593505859375), SC_(0.970879214993044630543023552485120399286e284) }}, 
+      {{ SC_(670.13323974609375), SC_(0.1620527966055446945578211401048814814567e289) }}, 
+      {{ SC_(674.3001708984375), SC_(0.1039047983324197139199069164254061321298e291) }}, 
+      {{ SC_(674.50408935546875), SC_(0.1273692969308263916056410711840867769624e291) }}, 
+      {{ SC_(675.69549560546875), SC_(0.418522040928659237731709573433592942673e291) }}, 
+      {{ SC_(678.93310546875), SC_(0.1061000019714235158838961951634579077223e293) }}, 
+      {{ SC_(680.616943359375), SC_(0.5700586451271579571730049808881026675533e293) }}, 
+      {{ SC_(681.3206787109375), SC_(0.1151061266572356641000638910442083400077e294) }}, 
+      {{ SC_(682.35565185546875), SC_(0.3235350762276795224692901027817771950219e294) }}, 
+      {{ SC_(688.66583251953125), SC_(0.1763576946849989630024915426356908693227e297) }}, 
+      {{ SC_(695.728759765625), SC_(0.2038669812824068591196373014464478923157e300) }}, 
+      {{ SC_(696.44110107421875), SC_(0.4152099129072985415211360691072606219165e300) }}, 
+      {{ SC_(697.87677001953125), SC_(0.174130632289273126035703061440352012941e301) }}
+   }};
+
diff --git a/src/boost/libs/math/test/expinti_data_long.ipp b/src/boost/libs/math/test/expinti_data_long.ipp
new file mode 100644
index 000000000..faf983e4d
--- /dev/null
+++ b/src/boost/libs/math/test/expinti_data_long.ipp
@@ -0,0 +1,108 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 100> expinti_data_long = {{
+      {{ SC_(850.51361083984375), SC_(0.27809823533792637952061836944224670902e367) }}, 
+      {{ SC_(1136.15478515625), SC_(0.2348005093803919554840423708437417479629e491) }}, 
+      {{ SC_(1163.7506103515625), SC_(0.2213003663371766101124862788858798209669e503) }}, 
+      {{ SC_(1177.1153564453125), SC_(0.1393972678294381321914138715599921955926e509) }}, 
+      {{ SC_(1184.819580078125), SC_(0.3071287487721510514525001455932125917587e512) }}, 
+      {{ SC_(1287.56982421875), SC_(0.1188602460855659524267859866086060607259e557) }}, 
+      {{ SC_(1340.845458984375), SC_(0.1565775363947514543544059577542317926535e580) }}, 
+      {{ SC_(1825.7115478515625), SC_(0.4317742008433835384506876651615126974963e790) }}, 
+      {{ SC_(1830.026611328125), SC_(0.3222842941582302836955227140289123449271e792) }}, 
+      {{ SC_(1960.14013671875), SC_(0.9682326984764871443713708725009118516667e848) }}, 
+      {{ SC_(1987.625244140625), SC_(0.8252010696701409604448632584198026007861e860) }}, 
+      {{ SC_(2121.929931640625), SC_(0.1644122120004322809189630355750827856571e919) }}, 
+      {{ SC_(2129.468505859375), SC_(0.3078607683726664945534741803554577395453e922) }}, 
+      {{ SC_(2140.980712890625), SC_(0.3059846959258757487477467065245238848267e927) }}, 
+      {{ SC_(2230.63720703125), SC_(0.2542119875349999176355379625196504093816e966) }}, 
+      {{ SC_(2298.31982421875), SC_(0.6114992506410978259391244796777268178912e995) }}, 
+      {{ SC_(2374.6435546875), SC_(0.830188785884719427191192371811470577614e1028) }}, 
+      {{ SC_(2464.39404296875), SC_(0.7606769935221277835214875514322852420595e1067) }}, 
+      {{ SC_(2607.7314453125), SC_(0.1280208651710915937668281576410585595382e1130) }}, 
+      {{ SC_(2636.01611328125), SC_(0.2434831958141217397564034109022725860803e1142) }}, 
+      {{ SC_(2773.374755859375), SC_(0.1043520151961041658604037267493948608009e1202) }}, 
+      {{ SC_(2789.313720703125), SC_(0.8673924117610746105433718703338830121224e1208) }}, 
+      {{ SC_(3019.807861328125), SC_(0.1014040167380916647540036248296427121987e1309) }}, 
+      {{ SC_(3037.9208984375), SC_(0.7410529098571197987076032731629101798719e1316) }}, 
+      {{ SC_(3134.11962890625), SC_(0.4314033621612001130684487653920208910505e1358) }}, 
+      {{ SC_(3724.306640625), SC_(0.7497114876830077572608496589486939616531e1614) }}, 
+      {{ SC_(3740.94140625), SC_(0.1251252881668710692336811165448253472824e1622) }}, 
+      {{ SC_(3936.630859375), SC_(0.1153573278500689879003545458843117005296e1707) }}, 
+      {{ SC_(3988.202392578125), SC_(0.2841996613630984591213735017628358662044e1729) }}, 
+      {{ SC_(4054.243896484375), SC_(0.1342609828695717510201743140807115713194e1758) }}, 
+      {{ SC_(4142.7724609375), SC_(0.3681572481442059810190451103963992112454e1796) }}, 
+      {{ SC_(4148.5703125), SC_(0.121171581000799833633456183949328398278e1799) }}, 
+      {{ SC_(4615.2646484375), SC_(0.5246465971256288730180022026676777543742e2001) }}, 
+      {{ SC_(4829.25732421875), SC_(0.4325309705481133900503845562540831591495e2094) }}, 
+      {{ SC_(4941.91748046875), SC_(0.357836144515945182929963672150715372631e2143) }}, 
+      {{ SC_(5010.6787109375), SC_(0.2572200946506254896455407953607460924114e2173) }}, 
+      {{ SC_(5116.201171875), SC_(0.1694628673308089036903938764581354437254e2219) }}, 
+      {{ SC_(5253.798828125), SC_(0.9450381302497917822730309088983075713142e2278) }}, 
+      {{ SC_(5257.24560546875), SC_(0.2965383255217071801210759810882002854358e2280) }}, 
+      {{ SC_(5433.140625), SC_(0.7047285278346101208658057139925849862554e2356) }}, 
+      {{ SC_(5505.39013671875), SC_(0.1659005813598457669810325988575538660018e2388) }}, 
+      {{ SC_(5636.36572265625), SC_(0.123483589653905750755240300669656546009e2445) }}, 
+      {{ SC_(5813.45166015625), SC_(0.9674253782674757458616517516767150594778e2521) }}, 
+      {{ SC_(5925.56689453125), SC_(0.465959154348727474260042419560482730271e2570) }}, 
+      {{ SC_(5948.7275390625), SC_(0.5311210417035456841299141336297429192824e2580) }}, 
+      {{ SC_(5971.912109375), SC_(0.6200616140526457518581489641316743841867e2590) }}, 
+      {{ SC_(5980.62060546875), SC_(0.3748467021497618776363280710356423632891e2594) }}, 
+      {{ SC_(6118.67822265625), SC_(0.3323548513925888198554192040808784242521e2654) }}, 
+      {{ SC_(6575.06884765625), SC_(0.4992113296799401332170302610613651749985e2852) }}, 
+      {{ SC_(6578.6494140625), SC_(0.1790887030753559149862073840512717626631e2854) }}, 
+      {{ SC_(7477.7138671875), SC_(0.453063439997264160754767400139975001266e3244) }}, 
+      {{ SC_(7555.90087890625), SC_(0.4053486713272468063037722021443381630624e3278) }}, 
+      {{ SC_(7625.0654296875), SC_(0.4381811161168660111987981480837499404122e3308) }}, 
+      {{ SC_(7721.84619140625), SC_(0.4650783679722625981733974952858145989039e3350) }}, 
+      {{ SC_(7724.62158203125), SC_(0.7459451366176179637703427587587394395181e3351) }}, 
+      {{ SC_(7807.67431640625), SC_(0.8657770283993666196881334661703905178512e3387) }}, 
+      {{ SC_(7967.44287109375), SC_(0.2066376033881102222399296966624611161435e3457) }}, 
+      {{ SC_(7995.15673828125), SC_(0.2237075980936927860568603957470382881289e3469) }}, 
+      {{ SC_(8137.39013671875), SC_(0.1297781899952190216559462644235208641515e3531) }}, 
+      {{ SC_(8255.8466796875), SC_(0.3564079826420461256934314917221024535487e3582) }}, 
+      {{ SC_(8290.892578125), SC_(0.589315461709375088751076327530039211034e3597) }}, 
+      {{ SC_(8464.859375), SC_(0.2061333287437003593390952585665220300663e3673) }}, 
+      {{ SC_(8621.2353515625), SC_(0.1657376800782722410304770650822997699241e3741) }}, 
+      {{ SC_(8647.478515625), SC_(0.4124415895621698868851529362785050121075e3752) }}, 
+      {{ SC_(8769.4912109375), SC_(0.3969329427154640956668041611282529236515e3805) }}, 
+      {{ SC_(8801.736328125), SC_(0.3990244136134911987900607765723496356083e3819) }}, 
+      {{ SC_(8865.2001953125), SC_(0.1445061203725423928848837944828607819372e3847) }}, 
+      {{ SC_(8883.857421875), SC_(0.1826853197788422299249942076987355766608e3855) }}, 
+      {{ SC_(9165.708984375), SC_(0.4515605271244922649573310924321143987289e3977) }}, 
+      {{ SC_(9184.3759765625), SC_(0.5765062048528042160801422542318948604069e3985) }}, 
+      {{ SC_(9197.3115234375), SC_(0.238797240985925516325017189407703419842e3991) }}, 
+      {{ SC_(9219.275390625), SC_(0.8237200206643906423722827693221290304098e4000) }}, 
+      {{ SC_(9226.1259765625), SC_(0.7773715903123152522709440763956473274495e4003) }}, 
+      {{ SC_(9227.998046875), SC_(0.5053244921662419600389850256151955782088e4004) }}, 
+      {{ SC_(9250.9619140625), SC_(0.4737744487728344772209960864307761252156e4014) }}, 
+      {{ SC_(9327.52734375), SC_(0.839334799085535932104716295994462739704e4047) }}, 
+      {{ SC_(9403.482421875), SC_(0.8077630243130543392122877176716464625234e4080) }}, 
+      {{ SC_(9479.298828125), SC_(0.6767729229089682203216741035877315937008e4113) }}, 
+      {{ SC_(9495.71484375), SC_(0.9100734532106930249198078682510663631931e4120) }}, 
+      {{ SC_(9617.6904296875), SC_(0.8449998576157010058160975375848278518588e4173) }}, 
+      {{ SC_(9766.8056640625), SC_(0.4787377238207901984222005262457964596487e4238) }}, 
+      {{ SC_(10012.8486328125), SC_(0.3344992068689187467671400212667671782847e4345) }}, 
+      {{ SC_(10076.2275390625), SC_(0.11136885577784012567387295792753442916e4373) }}, 
+      {{ SC_(10365.1630859375), SC_(0.3293047656065511164747161575530322956908e4498) }}, 
+      {{ SC_(10445.2490234375), SC_(0.1973039455254220882950372775604517375325e4533) }}, 
+      {{ SC_(10470.1669921875), SC_(0.1305681315488859113163146324068469579781e4544) }}, 
+      {{ SC_(10524.4375), SC_(0.4819186831856610440931487751621965500502e4567) }}, 
+      {{ SC_(10662.96875), SC_(0.6928694779347995167937115115212504365928e4627) }}, 
+      {{ SC_(10834.3447265625), SC_(0.1825438577646410483210158166935577469757e4702) }}, 
+      {{ SC_(10907.68359375), SC_(0.1285589751375311174300431256570906461288e4734) }}, 
+      {{ SC_(10911.2724609375), SC_(0.4651411212288175929735371788790669615768e4735) }}, 
+      {{ SC_(10932.240234375), SC_(0.5928423151111867954833915596799084326543e4744) }}, 
+      {{ SC_(10989.22265625), SC_(0.3294826635257870726228138790579703502685e4769) }}, 
+      {{ SC_(11018.8583984375), SC_(0.2439507354669304579499512829726839932215e4782) }}, 
+      {{ SC_(11031.244140625), SC_(0.5832754259182122887134092147181083406225e4787) }}, 
+      {{ SC_(11049.4599609375), SC_(0.474446561495313567373051850934536721701e4795) }}, 
+      {{ SC_(11160.5185546875), SC_(0.8016374991446073482862383560024456346995e4843) }}, 
+      {{ SC_(11284.826171875), SC_(0.7678551455742636373830825128178952778616e4897) }}, 
+      {{ SC_(11297.36328125), SC_(0.2135966594384904628860134271820875984946e4903) }}, 
+      {{ SC_(11322.6318359375), SC_(0.2007326162507306591356341202787380118764e4914) }}
+   }};
+
diff --git a/src/boost/libs/math/test/float128/log1p_expm1_test.cpp b/src/boost/libs/math/test/float128/log1p_expm1_test.cpp
new file mode 100644
index 000000000..794861440
--- /dev/null
+++ b/src/boost/libs/math/test/float128/log1p_expm1_test.cpp
@@ -0,0 +1,79 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+
+#include "table_type.hpp"
+
+#include "libs/math/test/log1p_expm1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions log1p and expm1.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      8,                             // Max Peek error
+      5);                            // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   //
+   // Test at:
+   // 18 decimal digits: tests 80-bit long double approximations
+   // 30 decimal digits: tests 128-bit long double approximations
+   // 35 decimal digits: tests arbitrary precision code
+   //
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/powm1_sqrtp1m1_test.cpp b/src/boost/libs/math/test/float128/powm1_sqrtp1m1_test.cpp
new file mode 100644
index 000000000..73972bb7a
--- /dev/null
+++ b/src/boost/libs/math/test/float128/powm1_sqrtp1m1_test.cpp
@@ -0,0 +1,82 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+
+#include "table_type.hpp"
+
+#include "libs/math/test/powm1_sqrtp1m1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions log1p and expm1.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      15,                             // Max Peek error
+      5);                            // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_powm1_sqrtp1m1(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/setup.hpp b/src/boost/libs/math/test/float128/setup.hpp
new file mode 100644
index 000000000..f71f5c98e
--- /dev/null
+++ b/src/boost/libs/math/test/float128/setup.hpp
@@ -0,0 +1,29 @@
+//  Copyright 2014 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#ifndef BOOST_MP_MATH_SETUP_HPP
+#define BOOST_MP_MATH_SETUP_HPP
+
+#ifdef _MSC_VER
+#  define _SCL_SECURE_NO_WARNINGS
+#endif
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/cstdfloat.hpp>
+#include <boost/static_assert.hpp>
+
+#define ALL_TESTS    test(boost::floatmax_t(0), "boost::floatmax_t");
+typedef boost::floatmax_t test_type_1;
+   
+BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::floatmax_t>::digits == 113, "These tests should only be run for 128-bit floating point types.");
+
+#ifndef BOOST_MATH_TEST_TYPE
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#endif
+
+#endif
+
diff --git a/src/boost/libs/math/test/float128/table_type.hpp b/src/boost/libs/math/test/float128/table_type.hpp
new file mode 100644
index 000000000..6560762db
--- /dev/null
+++ b/src/boost/libs/math/test/float128/table_type.hpp
@@ -0,0 +1,13 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2012 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#ifndef BOOST_MP_TABLE_TYPE
+
+#include <libs/math/test/table_type.hpp>
+
+#define SC_(x) BOOST_FLOATMAX_C(x)
+
+#endif
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_i.cpp b/src/boost/libs/math/test/float128/test_bessel_i.cpp
new file mode 100644
index 000000000..952cc9d6a
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_i.cpp
@@ -0,0 +1,59 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_i.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      500,                           // Max Peek error
+      200);                          // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_j.cpp b/src/boost/libs/math/test/float128/test_bessel_j.cpp
new file mode 100644
index 000000000..7afeeebeb
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_j.cpp
@@ -0,0 +1,81 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_j.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 10000000, 5000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*JN.*Integer.*",              // test data group
+      ".*", 50000, 15000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*(JN|j).*|.*Tricky.*",       // test data group
+      ".*", 7000, 3000);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_k.cpp b/src/boost/libs/math/test/float128/test_bessel_k.cpp
new file mode 100644
index 000000000..a5ec1e2b4
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_k.cpp
@@ -0,0 +1,58 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_k.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 80, 50);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 1000, 500);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_bessel_y.cpp b/src/boost/libs/math/test/float128/test_bessel_y.cpp
new file mode 100644
index 000000000..55bdf56e7
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_bessel_y.cpp
@@ -0,0 +1,72 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/bessel.hpp>
+#include "libs/math/test/test_bessel_y.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*(Y[nv]|y).*Random.*",       // test data group
+      ".*", 70000, 4000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Y0.*",                      // test data group
+      ".*", 800, 400);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Yn.*",                      // test data group
+      ".*", 1700, 600);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                         // test type(s)
+      ".*",                          // test data group
+      ".*", 150, 60);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_bessel(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_beta.cpp b/src/boost/libs/math/test/float128/test_beta.cpp
new file mode 100644
index 000000000..6cfddd566
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_beta.cpp
@@ -0,0 +1,65 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_beta.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Beta Function: Small.*",      // test data group
+      "beta", 8, 5);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 1000, 750); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Beta Function: Divergent.*",  // test data group
+      "beta", 1000, 700);   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_binomial_coeff.cpp b/src/boost/libs/math/test/float128/test_binomial_coeff.cpp
new file mode 100644
index 000000000..be208f4f5
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_binomial_coeff.cpp
@@ -0,0 +1,52 @@
+///////////////////////////////////////////////////////////////
+//  Copyright Christopher Kormanyos 2002 - 2011.
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+//
+// This work is based on an earlier work:
+// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
+// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/binomial.hpp>
+#include "libs/math/test/test_binomial_coeff.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 100, 20);                // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_binomial(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_carlson.cpp b/src/boost/libs/math/test/float128/test_carlson.cpp
new file mode 100644
index 000000000..145849373
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_carlson.cpp
@@ -0,0 +1,57 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#include "libs/math/test/test_carlson.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*RJ.*",                      // test data group
+      ".*", 2700, 250);              // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_cbrt.cpp b/src/boost/libs/math/test/float128/test_cbrt.cpp
new file mode 100644
index 000000000..d6690bdd9
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_cbrt.cpp
@@ -0,0 +1,46 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/cbrt.hpp>
+#include "libs/math/test/test_cbrt.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 5, 3);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_cbrt(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_digamma.cpp b/src/boost/libs/math/test/float128/test_digamma.cpp
new file mode 100644
index 000000000..9856223be
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_digamma.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/digamma.hpp>
+#include "libs/math/test/test_digamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*negative.*",                // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 2);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_digamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ellint_1.cpp b/src/boost/libs/math/test/float128/test_ellint_1.cpp
new file mode 100644
index 000000000..5c259e940
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ellint_1.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_1.hpp>
+#include "libs/math/test/test_ellint_1.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ellint_2.cpp b/src/boost/libs/math/test/float128/test_ellint_2.cpp
new file mode 100644
index 000000000..8b0512467
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ellint_2.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_2.hpp>
+#include "libs/math/test/test_ellint_2.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 300, 200);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ellint_3.cpp b/src/boost/libs/math/test/float128/test_ellint_3.cpp
new file mode 100644
index 000000000..e46268388
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ellint_3.cpp
@@ -0,0 +1,58 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/ellint_3.hpp>
+#include "libs/math/test/test_ellint_3.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Large.*",                   // test data group
+      ".*", 75, 40);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Mathworld.*",               // test data group
+      ".*", 600, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 60, 30);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_spots(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_erf.cpp b/src/boost/libs/math/test/float128/test_erf.cpp
new file mode 100644
index 000000000..90efd139e
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_erf.cpp
@@ -0,0 +1,59 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+#define TEST_UDT
+
+#include <boost/math/special_functions/erf.hpp>
+#include "libs/math/test/test_erf.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 2500, 1000); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erf.*",               // test data group
+      "erfc?_inv", 60, 20);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_erf(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   //
+   // Test at:
+   // 18 decimal digits: tests 80-bit long double approximations
+   // 30 decimal digits: tests 128-bit long double approximations
+   // 35 decimal digits: tests arbitrary precision code
+   //
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_expint.cpp b/src/boost/libs/math/test/float128/test_expint.cpp
new file mode 100644
index 000000000..73a1f6bb5
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_expint.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/expint.hpp>
+#include "libs/math/test/test_expint.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 5000, 2000);                // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_expint(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_factorials.cpp b/src/boost/libs/math/test/float128/test_factorials.cpp
new file mode 100644
index 000000000..36349fced
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_factorials.cpp
@@ -0,0 +1,296 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4245) // int/unsigned int conversion
+#endif
+
+// Return infinities not exceptions:
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/cstdfloat.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/factorials.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+
+#include <iostream>
+  using std::cout;
+  using std::endl;
+
+template <class T>
+T naive_falling_factorial(T x, unsigned n)
+{
+   if(n == 0)
+      return 1;
+   T result = x;
+   while(--n)
+   {
+      x -= 1;
+      result *= x;
+   }
+   return result;
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // Basic sanity checks.
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 * 2;  // 2 eps as a percent.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+
+   //
+   // Try some double factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(2),
+      static_cast<T>(2), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(5),
+      static_cast<T>(15), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(10),
+      static_cast<T>(3840), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(19),
+      static_cast<T>(6.547290750e8Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(24),
+      static_cast<T>(1.961990553600000e12Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(33),
+      static_cast<T>(6.33265987076285062500000e18Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(42),
+      static_cast<T>(1.0714547155728479551488000000e26Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(47),
+      static_cast<T>(1.19256819277443412353990764062500000e30Q), tolerance);
+
+   if((std::numeric_limits<T>::has_infinity) && (std::numeric_limits<T>::max_exponent <= 1024))
+   {
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(320),
+         std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(301),
+         std::numeric_limits<T>::infinity());
+   }
+   //
+   // Rising factorials:
+   //
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   if(std::numeric_limits<T>::is_specialized == 0)
+      tolerance *= 5;  // higher error rates without Lanczos support
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(3), 4),
+      static_cast<T>(360), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(7), -4),
+      static_cast<T>(0.00277777777777777777777777777777777777777777777777777777777778Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), 8),
+      static_cast<T>(5.58187566784927180664062500e16Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), -4),
+      static_cast<T>(5.15881498170104646868208445266116850161120996179812063177241e-9Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), 8),
+      static_cast<T>(3.92974581976666067544013393509103775024414062500000e29Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), -7),
+      static_cast<T>(1.28674092710208810281923019294164707555099052561945725535047e-26Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), 21),
+      static_cast<T>(3.93286957998925490693364184100209193343633629069699964020401e33Q), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), -21),
+      static_cast<T>(3.35010902064291983728782493133164809108646650368560147505884e-27Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 21),
+      static_cast<T>(-9.76168312768123676601980433377916854311706629232503473758698e26Q), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -21),
+      static_cast<T>(-1.50079704000923674318934280259377728203516775215430875839823e-34Q), 2 * tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 5),
+      static_cast<T>(-1.78799177197265625000000e7Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -5),
+      static_cast<T>(-2.47177487004482195012362027432181137141899692171397467859150e-8Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 6),
+      static_cast<T>(4.5146792242309570312500000e8Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -6),
+      static_cast<T>(6.81868929667537089689274558433603136943171564610751635473516e-10Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3), 6),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), 6),
+      static_cast<T>(2.99926757812500Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 6),
+      static_cast<T>(50.987548828125000000000000Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 13),
+      static_cast<T>(127230.91046623885631561279296875000Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), -6),
+      static_cast<T>(0.0000129609865918182348202632178291407500332449622510474437452125Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -6),
+      static_cast<T>(2.50789821857946332294524052303699065683926911849535903362649e-6Q), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -13),
+      static_cast<T>(-1.38984989447269128946284683518361786049649013886981662962096e-14Q), tolerance);
+
+   //
+   // Falling factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 0),
+      static_cast<T>(naive_falling_factorial(30.25Q, 0)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 1),
+      static_cast<T>(naive_falling_factorial(30.25Q, 1)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 2),
+      static_cast<T>(naive_falling_factorial(30.25Q, 2)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 5),
+      static_cast<T>(naive_falling_factorial(30.25Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 22),
+      static_cast<T>(naive_falling_factorial(30.25Q, 22)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(100.5), 6),
+      static_cast<T>(naive_falling_factorial(100.5Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.75), 30),
+      static_cast<T>(naive_falling_factorial(30.75Q, 30)),
+      tolerance * 3);
+   if(boost::math::policies::digits<T, boost::math::policies::policy<> >() > 50)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75Q), 30),
+         static_cast<T>(naive_falling_factorial(-30.75Q, 30)),
+         tolerance * 3);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75Q), 27),
+         static_cast<T>(naive_falling_factorial(-30.75Q, 27)),
+         tolerance * 3);
+   }
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12.0), 6),
+      static_cast<T>(naive_falling_factorial(-12.0Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12), 5),
+      static_cast<T>(naive_falling_factorial(-12.0Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3.0), 6),
+      static_cast<T>(naive_falling_factorial(-3.0Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3), 5),
+      static_cast<T>(naive_falling_factorial(-3.0Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.0), 6),
+      static_cast<T>(naive_falling_factorial(3.0Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3), 5),
+      static_cast<T>(naive_falling_factorial(3.0Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 4),
+      static_cast<T>(naive_falling_factorial(3.25Q, 4)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 5),
+      static_cast<T>(naive_falling_factorial(3.25Q, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 6),
+      static_cast<T>(naive_falling_factorial(3.25Q, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 7),
+      static_cast<T>(naive_falling_factorial(3.25Q, 7)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(8.25), 12),
+      static_cast<T>(naive_falling_factorial(8.25Q, 12)),
+      tolerance);
+
+
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   unsigned i = boost::math::max_factorial<T>::value;
+   if((boost::is_floating_point<T>::value) && (sizeof(T) <= sizeof(double)))
+   {
+      // Without Lanczos support, tgamma isn't accurate enough for this test:
+      BOOST_CHECK_CLOSE(
+         ::boost::math::unchecked_factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+   }
+
+   i += 10;
+   while(boost::math::lgamma(static_cast<T>(i+1)) < boost::math::tools::log_max_value<T>())
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+      i += 10;
+   }
+} // template <class T> void test_spots(T)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0Q);
+   cout << "max factorial for __float128"  << boost::math::max_factorial<boost::floatmax_t>::value  << endl;
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_gamma.cpp b/src/boost/libs/math/test/float128/test_gamma.cpp
new file mode 100644
index 000000000..ddaae2adf
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_gamma.cpp
@@ -0,0 +1,65 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_gamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 200, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "near.*",                      // test data group
+      "lgamma", 10000000, 10000000);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 1000, 150);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "tgamma", 40, 20);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_hermite.cpp b/src/boost/libs/math/test/float128/test_hermite.cpp
new file mode 100644
index 000000000..f933c6d27
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_hermite.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hermite.hpp>
+#include "libs/math/test/test_hermite.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "hermite", 10, 5);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_hermite(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ibeta.cpp b/src/boost/libs/math/test/float128/test_ibeta.cpp
new file mode 100644
index 000000000..708a6950d
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ibeta.cpp
@@ -0,0 +1,59 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_ibeta.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      ".*",                             // test type(s)
+      "(?i).*small.*",                  // test data group
+      ".*", 90, 25);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      ".*",                             // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 150, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      ".*",                             // test type(s)
+      "(?i).*large.*",                  // test data group
+      ".*", 150000, 5000);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ibeta_inv_1.cpp b/src/boost/libs/math/test/float128/test_ibeta_inv_1.cpp
new file mode 100644
index 000000000..68049024f
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ibeta_inv_1.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_ibeta_inv.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 1000000, 100000);        // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_ibeta_inv_ab_4.cpp b/src/boost/libs/math/test/float128/test_ibeta_inv_ab_4.cpp
new file mode 100644
index 000000000..3e0bc8581
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_ibeta_inv_ab_4.cpp
@@ -0,0 +1,54 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+#define TEST_UDT
+
+#define TEST_DATA 4
+#define FULL_TEST
+
+#include <boost/math/special_functions/beta.hpp>
+#include "libs/math/test/test_ibeta_inv_ab.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 10000, 1000);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_beta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   //
+   // Test at:
+   // 18 decimal digits: tests 80-bit long double approximations
+   // 30 decimal digits: tests 128-bit long double approximations
+   // 35 decimal digits: tests arbitrary precision code
+   //
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_igamma.cpp b/src/boost/libs/math/test/float128/test_igamma.cpp
new file mode 100644
index 000000000..d53325484
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_igamma.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_igamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 20000000L, 1000000L);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_igamma_inv.cpp b/src/boost/libs/math/test/float128/test_igamma_inv.cpp
new file mode 100644
index 000000000..122db9d42
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_igamma_inv.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_igamma_inv.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*small.*",                   // test data group
+      ".*", 10000000L, 2500000L);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_igamma_inva.cpp b/src/boost/libs/math/test/float128/test_igamma_inva.cpp
new file mode 100644
index 000000000..0a244c2f4
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_igamma_inva.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_igamma_inva.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_gamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_laguerre.cpp b/src/boost/libs/math/test/float128/test_laguerre.cpp
new file mode 100644
index 000000000..04ae016b9
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_laguerre.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/laguerre.hpp>
+#include "libs/math/test/test_laguerre.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 7000, 500);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_laguerre(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_legendre.cpp b/src/boost/libs/math/test/float128/test_legendre.cpp
new file mode 100644
index 000000000..463c2d90a
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_legendre.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/legendre.hpp>
+#include "libs/math/test/test_legendre.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 6000, 500);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_legendre_p(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_polygamma.cpp b/src/boost/libs/math/test/float128/test_polygamma.cpp
new file mode 100644
index 000000000..e62cef9af
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_polygamma.cpp
@@ -0,0 +1,51 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/polygamma.hpp>
+#include "libs/math/test/test_polygamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*bug cases.*",               // test data group
+      ".*", 100000, 40000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 700, 400);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_polygamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_std_lib.cpp b/src/boost/libs/math/test/float128/test_std_lib.cpp
new file mode 100644
index 000000000..de42c105c
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_std_lib.cpp
@@ -0,0 +1,241 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/cstdfloat.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <iostream>
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   //
+   // Basic tests that the functions which provide std lib supported are correctly wrapped:
+   //
+   boost::float128_t tol = std::numeric_limits<boost::float128_t>::epsilon() * 4;
+   boost::float128_t pi = BOOST_FLOAT128_C(3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211);
+
+
+   BOOST_CHECK_EQUAL(std::abs(BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(2.0));
+   BOOST_CHECK_EQUAL(std::abs(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(2.0));
+   BOOST_CHECK_EQUAL(std::fabs(BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(2.0));
+   BOOST_CHECK_EQUAL(std::fabs(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(2.0));
+
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(1.31811607165281796574566425464604046984639096659071471685355), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(1.82347658193697527271697912863346241435077843278439110412140), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.722734247813415611178377352641333362025218486424440267626754), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(2.41885840577637762728426603063816952217195091295066555334819), tol);
+   BOOST_CHECK_EQUAL(std::acos(BOOST_FLOAT128_C(1.0)), 0);
+   BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.0)), BOOST_FLOAT128_C(1.57079632679489661923132169163975144209858469968755291048747), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(0.25268025514207865348565743699371097225219373309683819363392), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(-0.252680255142078653485657436993710972252193733096838193633924), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.848062078981481008052944338998418080073366213263112642860718), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(-0.848062078981481008052944338998418080073366213263112642860718), tol);
+   BOOST_CHECK_EQUAL(std::asin(BOOST_FLOAT128_C(0.0)), 0);
+   BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(1.0)), BOOST_FLOAT128_C(1.57079632679489661923132169163975144209858469968755291048747), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(1.25)), BOOST_FLOAT128_C(0.896055384571343956174800718029937827024578444846840487366551), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-1.25)), BOOST_FLOAT128_C(-0.896055384571343956174800718029937827024578444846840487366551), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(10.25)), BOOST_FLOAT128_C(1.47354312854333084551799286825415639734160148773878671550090), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-10.25)), BOOST_FLOAT128_C(-1.47354312854333084551799286825415639734160148773878671550090), tol);
+   BOOST_CHECK_EQUAL(std::atan(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(0.5), BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-0.5), BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(0.5), BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376) + pi, tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-0.5), BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376) - pi, tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(2.0), BOOST_FLOAT128_C(0.0)), pi / 2, tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-2.0), BOOST_FLOAT128_C(0.0)), -pi / 2, tol);
+   BOOST_CHECK_EQUAL(std::atan2(BOOST_FLOAT128_C(0.0), BOOST_FLOAT128_C(0.0)), BOOST_FLOAT128_C(0.0));
+
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.479425538604203000273287935215571388081803367940600675188617), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.479425538604203000273287935215571388081803367940600675188617), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.997494986604054430941723371141487322706651425922115821949975), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-0.997494986604054430941723371141487322706651425922115821949975), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(-0.350783227689619848120368800043635585084981735940583485415755), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(0.350783227689619848120368800043635585084981735940583485415755), tol);
+   BOOST_CHECK_EQUAL(std::sin(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.877582561890372716116281582603829651991645197109744052997611), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(0.877582561890372716116281582603829651991645197109744052997611), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.0707372016677029100881898514342687090850910275633468694226454), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(0.0707372016677029100881898514342687090850910275633468694226454), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(-0.936456687290796337698657626671760463019957765781959251620988), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.936456687290796337698657626671760463019957765781959251620988), tol);
+   BOOST_CHECK_EQUAL(std::cos(BOOST_FLOAT128_C(0.0)), 1.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.546302489843790513255179465780285383297551720179791246164091), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.546302489843790513255179465780285383297551720179791246164091), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(14.1014199471717193876460836519877564456595435772358618661233), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-14.1014199471717193876460836519877564456595435772358618661233), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(0.374585640158594666330512579989147388450882284289259230693023), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.374585640158594666330512579989147388450882284289259230693023), tol);
+   BOOST_CHECK_EQUAL(std::tan(BOOST_FLOAT128_C(0.0)), 0.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.521095305493747361622425626411491559105928982611480527946094), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.521095305493747361622425626411491559105928982611480527946094), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(2.12927945509481749683438749467763164883178911950429386401441), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-2.12927945509481749683438749467763164883178911950429386401441), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(16.5426272876349976249567315290124982237000338471151419910948), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-16.5426272876349976249567315290124982237000338471151419910948), tol);
+   BOOST_CHECK_EQUAL(std::sinh(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(1.12762596520638078522622516140267201254784711809866748362899), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(1.12762596520638078522622516140267201254784711809866748362899), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(2.35240961524324732576766796544164417017396074886537319275824), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(2.35240961524324732576766796544164417017396074886537319275824), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(16.5728246710573161256965178213761180687716943793627989977661), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(16.5728246710573161256965178213761180687716943793627989977661), tol);
+   BOOST_CHECK_EQUAL(std::cosh(BOOST_FLOAT128_C(0.0)), 1.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.462117157260009758502318483643672548730289280330113038552732), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.462117157260009758502318483643672548730289280330113038552732), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.905148253644866438242303696456495597227641135158781798564224), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-0.905148253644866438242303696456495597227641135158781798564224), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(0.998177897611198709284273352450611717351703879477362867150362), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.998177897611198709284273352450611717351703879477362867150362), tol);
+   BOOST_CHECK_EQUAL(std::tanh(BOOST_FLOAT128_C(0.0)), 0.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.481211825059603447497758913424368423135184334385660519661018), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.481211825059603447497758913424368423135184334385660519661018), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(1.19476321728710930411193082851909052353616207515300542927068), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-1.19476321728710930411193082851909052353616207515300542927068), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(30.5)), BOOST_FLOAT128_C(4.11114250086321582491802557961818852029252495243356752882371), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-30.5)), BOOST_FLOAT128_C(-4.11114250086321582491802557961818852029252495243356752882371), tol * 40); // extra tolerance required on Mingw-x64 at least
+   BOOST_CHECK_EQUAL(std::asinh(BOOST_FLOAT128_C(0.0)), 0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.962423650119206894995517826848736846270368668771321039322036), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(30.5)), BOOST_FLOAT128_C(4.11060501081175314729512161636335880294693070089674383785623), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(3000.5)), BOOST_FLOAT128_C(8.69968137322099085819002231042463682720224626990472395734493), tol);
+   BOOST_CHECK_EQUAL(std::acosh(BOOST_FLOAT128_C(1.0)), 0.0);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.549306144334054845697622618461262852323745278911374725867347), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.549306144334054845697622618461262852323745278911374725867347), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.972955074527656652552676371721589864818542364790930594229695), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(-0.972955074527656652552676371721589864818542364790930594229695), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.125)), BOOST_FLOAT128_C(0.125657214140453038842568865200935839828948193031818857504999), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.125)), BOOST_FLOAT128_C(-0.125657214140453038842568865200935839828948193031818857504999), tol);
+   BOOST_CHECK_EQUAL(std::atanh(BOOST_FLOAT128_C(0.0)), 0.0);
+
+   BOOST_CHECK_EQUAL(std::ldexp(BOOST_FLOATMAX_C(2.5), 2), 2.5 * 4);
+   int i;
+   BOOST_CHECK_EQUAL(std::frexp(BOOST_FLOATMAX_C(16.0), &i), BOOST_FLOATMAX_C(0.5));
+   BOOST_CHECK_EQUAL(std::floor(BOOST_FLOATMAX_C(2.5)), 2);
+   BOOST_CHECK_EQUAL(std::floor(BOOST_FLOATMAX_C(-2.5)), -3);
+   BOOST_CHECK_EQUAL(std::ceil(BOOST_FLOATMAX_C(2.5)), 3);
+   BOOST_CHECK_EQUAL(std::ceil(BOOST_FLOATMAX_C(-2.5)), -2);
+   BOOST_CHECK_EQUAL(std::trunc(BOOST_FLOATMAX_C(2.5)), 2);
+   BOOST_CHECK_EQUAL(std::trunc(BOOST_FLOATMAX_C(-2.5)), -2);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::sqrt(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(1.41421356237309504880168872420969807856967187537694807317668), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(7.38905609893065022723042746057500781318031557055184732408713), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(3.88118019428436857648232207537185146709138266970427068956343e868), tol * 500);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(-2.0)), 1 / BOOST_FLOAT128_C(7.38905609893065022723042746057500781318031557055184732408713), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(-2000.0)), 1 / BOOST_FLOAT128_C(3.88118019428436857648232207537185146709138266970427068956343e868), tol * 500);
+   BOOST_CHECK_CLOSE_FRACTION(std::pow(BOOST_FLOAT128_C(2.5), BOOST_FLOAT128_C(2.5)), BOOST_FLOAT128_C(9.88211768802618541249654232635224541787360981039130258392970), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::pow(BOOST_FLOAT128_C(2.5), -BOOST_FLOAT128_C(2.5)), 1 / BOOST_FLOAT128_C(9.88211768802618541249654232635224541787360981039130258392970), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(std::log(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.693147180559945309417232121458176568075500134360255254120680), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::log(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(7.60090245954208236147120648551126919087880460024657418222066), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::log10(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.301029995663981195213738894724493026768189881462108541310427), tol);
+   BOOST_CHECK_CLOSE_FRACTION(std::log10(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(3.30102999566398119521373889472449302676818988146210854131043), tol);
+
+   BOOST_CHECK_EQUAL(std::fmod(BOOST_FLOATMAX_C(20.0), BOOST_FLOATMAX_C(7.0)), BOOST_FLOATMAX_C(6.0));
+   BOOST_CHECK_EQUAL(std::fmod(-BOOST_FLOATMAX_C(20.0), BOOST_FLOATMAX_C(7.0)), -BOOST_FLOATMAX_C(6.0));
+   BOOST_CHECK_EQUAL(std::fmod(BOOST_FLOATMAX_C(20.0), -BOOST_FLOATMAX_C(7.0)), BOOST_FLOATMAX_C(6.0));
+   BOOST_CHECK_EQUAL(std::fmod(-BOOST_FLOATMAX_C(20.0), -BOOST_FLOATMAX_C(7.0)), -BOOST_FLOATMAX_C(6.0));
+   //
+   // Basic tests of complex number support:
+   //
+   std::complex<boost::floatmax_t> cm(2.5, 3.5);
+   std::complex<double> cd(2.5, 3.5);
+   BOOST_CHECK_EQUAL(real(cm), BOOST_FLOATMAX_C(2.5));
+   BOOST_CHECK_EQUAL(imag(cm), BOOST_FLOATMAX_C(3.5));
+   BOOST_CHECK_CLOSE_FRACTION(abs(cm), std::sqrt(real(cm) * real(cm) + imag(cm) * imag(cm)), tol);
+   BOOST_CHECK_CLOSE_FRACTION(arg(cm), std::atan2(imag(cm), real(cm)), tol);
+   BOOST_CHECK_EQUAL(norm(cm), norm(cd));
+   BOOST_CHECK_EQUAL(conj(cm), std::complex<boost::floatmax_t>(2.5, -3.5));
+   BOOST_CHECK_EQUAL(proj(cm), cm);
+   if (std::numeric_limits<boost::floatmax_t>::has_infinity)
+   {
+      boost::floatmax_t m = (std::numeric_limits<boost::floatmax_t>::max)();
+      boost::floatmax_t n = (std::numeric_limits<boost::floatmax_t>::quiet_NaN)();
+      boost::floatmax_t i = std::numeric_limits<boost::floatmax_t>::infinity();
+      std::complex<boost::floatmax_t> ci(i, 0);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, 2.5)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, -2.5)), std::conj(ci));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, 2.5)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, -2.5)), std::conj(ci));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, i)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, i)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, -i)), std::conj(ci));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, -i)), std::conj(ci));
+      // If there's a NaN and an infinity, then we treat it as an infinity:
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, n)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, n)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(n, i)), ci);
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(n, -i)), std::conj(ci));
+      // Maximum values should not be detected as infinities:
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(m, 2.5)), std::complex<boost::floatmax_t>(m, 2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(m, -2.5)), std::complex<boost::floatmax_t>(m, -2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-m, 2.5)), std::complex<boost::floatmax_t>(-m, 2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-m, -2.5)), std::complex<boost::floatmax_t>(-m, -2.5));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, m)), std::complex<boost::floatmax_t>(2.5, m));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, m)), std::complex<boost::floatmax_t>(-2.5, m));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, -m)), std::complex<boost::floatmax_t>(2.5, -m));
+      BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, -m)), std::complex<boost::floatmax_t>(-2.5, -m));
+   }
+   BOOST_CHECK_CLOSE_FRACTION(real(cm), real(std::polar(abs(cm), arg(cm))), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(cm), imag(std::polar(abs(cm), arg(cm))), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(sqrt(cm)), BOOST_FLOATMAX_C(1.84406651636014927478967924702313083926924795108746617689331), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(sqrt(cm)), BOOST_FLOATMAX_C(0.94898962942734874384477674565646902214428238312030745589860), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(sin(cm)), BOOST_FLOATMAX_C(9.9183739147466194779705692590714075536609528502804512321829), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(sin(cm)), BOOST_FLOATMAX_C(-13.2530202358612673933065316490414418905222985108088743924151), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(cos(cm)), BOOST_FLOATMAX_C(-13.2772126767962806757640045050809172681765101364150115572273), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(cos(cm)), BOOST_FLOATMAX_C(-9.9003016219435352532718399415663308886142356901813313808396), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(tan(cm)), BOOST_FLOATMAX_C(-0.001747945781533807475041571346335555146588886236426940282142), 100 * tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(tan(cm)), BOOST_FLOATMAX_C(0.999481272866023968509371163341197364669909311495225118348783), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(asin(cm)), BOOST_FLOATMAX_C(0.60763873377718961061236721540807625716707363115177473522038), 3 * tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(asin(cm)), BOOST_FLOATMAX_C(2.15662466247239925020341473126370983708442367609452933444142), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(acos(cm)), BOOST_FLOATMAX_C(0.96315759301770700861895447623167518493151106853577817526710), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(acos(cm)), BOOST_FLOATMAX_C(-2.15662466247239925020341473126370983708442367609452933444142), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(atan(cm)), BOOST_FLOATMAX_C(1.43164649729234094356720655652341656334194939189977737526797), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(atan(cm)), BOOST_FLOATMAX_C(0.18785402217098027123573761814417062282719376109354553980571), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(exp(cm)), BOOST_FLOATMAX_C(-11.40837793738050755301628098123357473395267691300165885963084), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(exp(cm)), BOOST_FLOATMAX_C(-4.27341455284486523762268047763120025488336663280501044879428), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(log(cm)), BOOST_FLOATMAX_C(1.45888536604213956747543177478663529791228872640369045476212), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(log(cm)), BOOST_FLOATMAX_C(0.95054684081207514789478913546381917504767901030880427426177), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, cm)), BOOST_FLOATMAX_C(0.500085941796692509786065254311643761781309406813392318413211), 3 * tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, cm)), BOOST_FLOATMAX_C(1.2835619023632800631240903890826362708871896445947786884), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, 45)), BOOST_FLOATMAX_C(1.15295630001810518909457669488131135702133178710937500000000e28), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, 45)), BOOST_FLOATMAX_C(-3.03446103291767290317331113291188915967941284179687500000000e28), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, BOOST_FLOATMAX_C(-6.25))), BOOST_FLOATMAX_C(0.0001033088262386741675929555572265687059620746178809486273109638), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, BOOST_FLOATMAX_C(-6.25))), BOOST_FLOATMAX_C(0.000036807924520680371147635577932953977554657684086220380643819), 10*tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(pow(BOOST_FLOATMAX_C(23.125), cm)), BOOST_FLOATMAX_C(-6.10574617260000071495777483951769228578270070743952693687), 500*tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(pow(BOOST_FLOATMAX_C(23.125), cm)), BOOST_FLOATMAX_C(-2571.59829653692515304089117319850284971907684832627401081405), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(sinh(cm)), BOOST_FLOATMAX_C(-5.66575444574645085564435171738630834083691435582030649964506), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(sinh(cm)), BOOST_FLOATMAX_C(-2.15110429680352723029881676360397937637837569516923953471257), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(cosh(cm)), BOOST_FLOATMAX_C(-5.74262349163405669737192926384726639311576255718135235998578), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(cosh(cm)), BOOST_FLOATMAX_C(-2.12231025604133800732386371402722087850499093763577091408171), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(tanh(cm)), BOOST_FLOATMAX_C(0.989853240015864535514963496600761619743140454542828561309980), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(tanh(cm)), BOOST_FLOATMAX_C(0.008764045495134631601280624388444235039135499546704045953309), 12 * tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(real(asinh(cm)), BOOST_FLOATMAX_C(2.14787287976856126021628946626513750583054633606189652982666), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(asinh(cm)), BOOST_FLOATMAX_C(0.93760050284009400234857022775555923392488940926800031416598), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(acosh(cm)), BOOST_FLOATMAX_C(2.15662466247239925020341473126370983708442367609452933444142), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(acosh(cm)), BOOST_FLOATMAX_C(0.96315759301770700861895447623167518493151106853577817526710), tol);
+   BOOST_CHECK_CLOSE_FRACTION(real(atanh(cm)), BOOST_FLOATMAX_C(0.131131117031038145756858363631111963444914136310244574499277), tol);
+   BOOST_CHECK_CLOSE_FRACTION(imag(atanh(cm)), BOOST_FLOATMAX_C(1.380543138238714176079527733234534889849881842858502491699319), 12 * tol);
+}
+
+
+
diff --git a/src/boost/libs/math/test/float128/test_tgamma_ratio.cpp b/src/boost/libs/math/test/float128/test_tgamma_ratio.cpp
new file mode 100644
index 000000000..9d2568f55
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_tgamma_ratio.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/gamma.hpp>
+#include "libs/math/test/test_tgamma_ratio.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2000, 500);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_tgamma_ratio(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_trigamma.cpp b/src/boost/libs/math/test/float128/test_trigamma.cpp
new file mode 100644
index 000000000..8862b53d0
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_trigamma.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/trigamma.hpp>
+#include "libs/math/test/test_trigamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 2);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_trigamma(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/float128/test_zeta.cpp b/src/boost/libs/math/test/float128/test_zeta.cpp
new file mode 100644
index 000000000..4dcdf19cc
--- /dev/null
+++ b/src/boost/libs/math/test/float128/test_zeta.cpp
@@ -0,0 +1,44 @@
+///////////////////////////////////////////////////////////////
+//  Copyright 2011 John Maddock. Distributed under the Boost
+//  Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
+
+#include "setup.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/zeta.hpp>
+#include "libs/math/test/test_zeta.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 1000, 200);              // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test(T t, const char* p)
+{
+   test_zeta(t, p);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   ALL_TESTS
+}
+
diff --git a/src/boost/libs/math/test/functor.hpp b/src/boost/libs/math/test/functor.hpp
new file mode 100644
index 000000000..bb0f86455
--- /dev/null
+++ b/src/boost/libs/math/test/functor.hpp
@@ -0,0 +1,213 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/special_functions/trunc.hpp>
+
+
+#ifndef BOOST_MATH_TEST_FUNCTOR_HPP
+#define BOOST_MATH_TEST_FUNCTOR_HPP
+
+template <class Real>
+struct extract_result_type
+{
+   extract_result_type(unsigned i) : m_location(i){}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return row[m_location];
+   }
+private:
+   unsigned m_location;
+};
+
+template <class Real>
+inline extract_result_type<Real> extract_result(unsigned i)
+{
+   return extract_result_type<Real>(i);
+}
+
+template <class Real, class F>
+struct row_binder1
+{
+   row_binder1(F _f, unsigned i) : f(_f), m_i(i) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i]);
+   }
+
+private:
+   F f;
+   unsigned m_i;
+};
+
+template<class Real, class F>
+inline row_binder1<Real, F> bind_func(F f, unsigned i)
+{
+   return row_binder1<Real, F>(f, i);
+}
+
+template <class Real, class F>
+struct row_binder2
+{
+   row_binder2(F _f, unsigned i, unsigned j) : f(_f), m_i(i), m_j(j) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i], row[m_j]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j;
+};
+
+template<class Real, class F>
+inline row_binder2<Real, F> bind_func(F f, unsigned i, unsigned j)
+{
+   return row_binder2<Real, F>(f, i, j);
+}
+
+template <class Real, class F>
+struct row_binder3
+{
+   row_binder3(F _f, unsigned i, unsigned j, unsigned k) : f(_f), m_i(i), m_j(j), m_k(k) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i], row[m_j], row[m_k]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k;
+};
+
+template<class Real, class F>
+inline row_binder3<Real, F> bind_func(F f, unsigned i, unsigned j, unsigned k)
+{
+   return row_binder3<Real, F>(f, i, j, k);
+}
+
+template <class Real, class F>
+struct row_binder4
+{
+   row_binder4(F _f, unsigned i, unsigned j, unsigned k, unsigned l) : f(_f), m_i(i), m_j(j), m_k(k), m_l(l) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(row[m_i], row[m_j], row[m_k], row[m_l]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k, m_l;
+};
+
+template<class Real, class F>
+inline row_binder4<Real, F> bind_func(F f, unsigned i, unsigned j, unsigned k, unsigned l)
+{
+   return row_binder4<Real, F>(f, i, j, k, l);
+}
+
+template <class Real, class F>
+struct row_binder2_i1
+{
+   row_binder2_i1(F _f, unsigned i, unsigned j) : f(_f), m_i(i), m_j(j) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(boost::math::itrunc(Real(row[m_i])), row[m_j]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j;
+};
+
+template<class Real, class F>
+inline row_binder2_i1<Real, F> bind_func_int1(F f, unsigned i, unsigned j)
+{
+   return row_binder2_i1<Real, F>(f, i, j);
+}
+
+template <class Real, class F>
+struct row_binder3_i2
+{
+   row_binder3_i2(F _f, unsigned i, unsigned j, unsigned k) : f(_f), m_i(i), m_j(j), m_k(k) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(
+         boost::math::itrunc(Real(row[m_i])), 
+         boost::math::itrunc(Real(row[m_j])),
+         row[m_k]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k;
+};
+
+template<class Real, class F>
+inline row_binder3_i2<Real, F> bind_func_int2(F f, unsigned i, unsigned j, unsigned k)
+{
+   return row_binder3_i2<Real, F>(f, i, j, k);
+}
+
+template <class Real, class F>
+struct row_binder4_i2
+{
+   row_binder4_i2(F _f, unsigned i, unsigned j, unsigned k, unsigned l) : f(_f), m_i(i), m_j(j), m_k(k), m_l(l) {}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return f(
+         boost::math::itrunc(Real(row[m_i])), 
+         boost::math::itrunc(Real(row[m_j])),
+         row[m_k],
+         row[m_l]);
+   }
+
+private:
+   F f;
+   unsigned m_i, m_j, m_k, m_l;
+};
+
+template<class Real, class F>
+inline row_binder4_i2<Real, F> bind_func_int2(F f, unsigned i, unsigned j, unsigned k, unsigned l)
+{
+   return row_binder4_i2<Real, F>(f, i, j, k, l);
+}
+
+template <class Real, class F>
+struct negate_type
+{
+   negate_type(F f) : m_f(f){}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return -Real(m_f(row));
+   }
+private:
+   F m_f;
+};
+
+template <class Real, class F>
+inline negate_type<Real, F> negate(F f)
+{
+   return negate_type<Real, F>(f);
+}
+
+#endif
diff --git a/src/boost/libs/math/test/gamma_inv_big_data.ipp b/src/boost/libs/math/test/gamma_inv_big_data.ipp
new file mode 100644
index 000000000..c1ef46772
--- /dev/null
+++ b/src/boost/libs/math/test/gamma_inv_big_data.ipp
@@ -0,0 +1,139 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 130> gamma_inv_big_data = { {
+      {{ SC_(464.56927490234375), SC_(0.12698681652545928955078125), SC_(440.0905015614498663381793089656310373835539712118699915057655756381750702144551901256933419148259778), SC_(489.2489328115381710888005650788332818303123263238882523231037266766796974176786885492715539575179927) }}, 
+      {{ SC_(464.56927490234375), SC_(0.135477006435394287109375), SC_(440.9201626373476098986751145295281211597851207555116002836559277456581502883881279408150408804624974), SC_(488.3596775997958518494466317847702951287228545295142304855338082929544530999908165788368449119633373) }}, 
+      {{ SC_(464.56927490234375), SC_(0.22103404998779296875), SC_(447.8707097559117500373730010123474103179731538915785876172851019700931527209673015311979439047788638), SC_(480.9951697728710868281134950146803822897647194680614404153327850687509247330919989892805468881282719) }}, 
+      {{ SC_(464.56927490234375), SC_(0.308167040348052978515625), SC_(453.5243991344879957369314553806138325182261928645340021307574697842383156443940903587657239443012288), SC_(475.1149279136111828287528971449692848991760379145030491172523136909085503134739001275580865573262267) }}, 
+      {{ SC_(464.56927490234375), SC_(0.6323592662811279296875), SC_(471.5586320968249281038445929212575977142103853999994962593917575305139999808448747718468071828960383), SC_(456.9895432265540105242329036050454287207764722373079606619854048979024366594658280592117689264157992) }}, 
+      {{ SC_(464.56927490234375), SC_(0.814723670482635498046875), SC_(483.7962479352174443104604814361337114707603182758678093812861642605333000597647127303417718754975292), SC_(445.2102204107761028803290781726535172344996283727995749912027305150811353997318714622791119089755303) }}, 
+      {{ SC_(464.56927490234375), SC_(0.835008561611175537109375), SC_(485.5413501990585182267303678139012739812082864500829920491986081765032489089832623030329596860813566), SC_(443.563211692283275278200948788175382734228099875239143691921387947329995022394758603528566488084557) }}, 
+      {{ SC_(464.56927490234375), SC_(0.905791938304901123046875), SC_(493.1530014001506637843558286915347874415133013116095848032725512370251487272101090417362802627532), SC_(436.4721607137502194476515600944759096109462004602962052350793459815125792956858001222848555476140453) }}, 
+      {{ SC_(464.56927490234375), SC_(0.9133758544921875), SC_(494.1980223559677419266737342424067342426878050583575377942941770747042395000546795305409031642061286), SC_(435.5102279299145333712817106435136572491533987684414157140918464149027877988350441152775081891128202) }}, 
+      {{ SC_(464.56927490234375), SC_(0.968867778778076171875), SC_(505.5712348542740722018328982886099757924348908530379539931536263900192339710371141619690805609322114), SC_(425.2177557338328763751700654579137573643963906759571233052948938600914520447536651895743912216230868) }}, 
+      {{ SC_(581.3642578125), SC_(0.12698681652545928955078125), SC_(553.9669793782038068678935676734904494531472719532817972687153514964534286624955148869921984604413705), SC_(608.9624188837483057145747405401351852945713877500076249931706854984537278152556192058495450356661075) }}, 
+      {{ SC_(581.3642578125), SC_(0.135477006435394287109375), SC_(554.8986621587098884100882390919729772471677865482900127899068620712298280708065488221682075356651129), SC_(607.9711405772914939464180467890095695334450990881469482983020058157368245651758798593316096874550468) }}, 
+      {{ SC_(581.3642578125), SC_(0.22103404998779296875), SC_(562.6989508379479360762737530017662823397707943257475597443912537342208024566957230695521899983347868), SC_(599.7568829483629048923260578901093044774886065740947188058513300551937073309051987160205195739811767) }}, 
+      {{ SC_(581.3642578125), SC_(0.308167040348052978515625), SC_(569.0374062500558452762422305261339987947322576241495557758885978701225529419403450771958235312394718), SC_(593.191871592557187889891303913053953793280772650663480941873292317612622398375064237989516603392702) }}, 
+      {{ SC_(581.3642578125), SC_(0.6323592662811279296875), SC_(589.2186806341801070520302845910583423903524143672474575926325599791162545901801711272745264959036703), SC_(572.9194442994055998344224745611620692130093494754880686659071973997039947893559220289586718667113235) }}, 
+      {{ SC_(581.3642578125), SC_(0.814723670482635498046875), SC_(602.8821834284482585691264752294355355054448218400550509491940689285405704202939688051624635513663289), SC_(559.7142416966026142699409579688200021128645733168138617853078743374086688135798773103892188217158995) }}, 
+      {{ SC_(581.3642578125), SC_(0.835008561611175537109375), SC_(604.828643910421477172904091611031783808541641171718978680317644118217631106164554044832916318314536), SC_(557.8658766883129854673479272570045089935130097354126524991225881637889319445059039834646698913385156) }}, 
+      {{ SC_(581.3642578125), SC_(0.905791938304901123046875), SC_(613.3129282087309383781017594217145054083831628491043296373214531659991173365355850527876757575909822), SC_(549.9022051711790846699713504466950223326019400934082404934885928594446512232330430586772029938196745) }}, 
+      {{ SC_(581.3642578125), SC_(0.9133758544921875), SC_(614.4770468653682831072313903473820106979961810147208338352666609984349886811227288705529284870561508), SC_(548.8211770528904363817509904880593930190623124578155064175427290011681864479910298041022961043374652) }}, 
+      {{ SC_(581.3642578125), SC_(0.968867778778076171875), SC_(627.1355994680180288387606201509867766037880624816769586905572692453061589536718698854811798574447639), SC_(537.2434046094288504301880670875538722146124348492278961853627085015109570171947537038965207722816761) }}, 
+      {{ SC_(1951.531005859375), SC_(0.12698681652545928955078125), SC_(1901.241568773770922566176551111324528061539415262289896946584544719985434774304519807954392335998056), SC_(2002.021320186005593269954630164748892984239050639769313631332995488067837088154452019302573500276847) }}, 
+      {{ SC_(1951.531005859375), SC_(0.135477006435394287109375), SC_(1902.97354682881850141437203184951674874932885186251119744647673131837322873602175575537383500148183), SC_(2000.229742725423370235870963243869872585198799992240751333551033232397870397441633931357095980768191) }}, 
+      {{ SC_(1951.531005859375), SC_(0.22103404998779296875), SC_(1917.43930352500655310596416160028640714879305407859193609469456367008395474716182237360880885823288), SC_(1985.349994080042670467264605954502004011215186704550449317111515855278342566460300427630408667542252) }}, 
+      {{ SC_(1951.531005859375), SC_(0.308167040348052978515625), SC_(1929.148922991445901527665313030619405739439864321231712634684310583653565217955393471096463768241713), SC_(1973.41380900615111271612206472312245968587969819306141495965251939440367517119089187330085981855822) }}, 
+      {{ SC_(1951.531005859375), SC_(0.6323592662811279296875), SC_(1966.170648608234571927835410663285873075779994557389344920315448169955531572581154381160800811608923), SC_(1936.300927175607170562787730544662456503521359690528527088676017231512207916885689668601566334696151) }}, 
+      {{ SC_(1951.531005859375), SC_(0.814723670482635498046875), SC_(1991.018476822699539936619331556942844313185023775202372774961340270713861782283112635668860782991491), SC_(1911.911419157865805941808341314657192342091906343327984809714040500104473134596177068891643239201134) }}, 
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+      {{ SC_(106978.296875), SC_(0.968867778778076171875), SC_(107588.9235613222152829931679225549014754124395269284113443203255103948124031662805528602664547683086), SC_(106369.3208655605404481804038740303298105183580397635384112856884253986898629793630975440978403633314) }}, 
+      {{ SC_(171464.0625), SC_(0.12698681652545928955078125), SC_(170991.7987738160400661711532241368523815758482376794424363282331416985687517598530113021351567322652), SC_(171936.5271011605645630168791502834268148052500147715712053943581753043298682506567262206437629713908) }}, 
+      {{ SC_(171464.0625), SC_(0.135477006435394287109375), SC_(171008.2836354564209492823743402973811390337608777526702016261413773534660200796449809982051665077003), SC_(171919.9826384883939702551089975861816589350398843659033957710496659891252213316559001815815327400668) }}, 
+      {{ SC_(171464.0625), SC_(0.22103404998779296875), SC_(171145.6191662746123960347552525693670128191028466757466580336222001947839794403773558314059941595646), SC_(171782.2331060803849520335453303183326526337638884076039027498474047799995742641818132862456747537524) }}, 
+      {{ SC_(171464.0625), SC_(0.308167040348052978515625), SC_(171256.3361047097958387452441541471127499385772793150774116115411855101108847691601832573807619567347), SC_(171671.2895979873130236903578632050660794939876719454087826341290089368450153075267593819684360323877) }}, 
+      {{ SC_(171464.0625), SC_(0.6323592662811279296875), SC_(171603.7718023434324974514302206535409055277466973477498540819203050822468613895559823545353022871572), SC_(171323.7627427548550174468619344221281973249811264358000342338320713853780519662237808191551395326248) }}, 
+      {{ SC_(171464.0625), SC_(0.814723670482635498046875), SC_(171834.7812554227987093134480125253002251121865641876340406728469955856798309411540595789975061266601), SC_(171093.2116182572157852580015242631784731817460262145817086170604362162178153569504512508225251352553) }}, 
+      {{ SC_(171464.0625), SC_(0.835008561611175537109375), SC_(171867.4225853696747287532499924362369112417451458992299610929008452549979384474959400833956401103073), SC_(171060.6683914212385500445147373534713684868992048983316972221307056329253829244630268336756229649048) }}, 
+      {{ SC_(171464.0625), SC_(0.905791938304901123046875), SC_(172008.9390039799149245319369194588737700358279596931623900607969038096782602911984385367690545112371), SC_(170919.6726353340561334782062787174007300952740547857469982263053520346768626380151551392105674125141) }}, 
+      {{ SC_(171464.0625), SC_(0.9133758544921875), SC_(172028.2607163503237074804240420988332805635207751072405443517988230279811664015979896111754298047853), SC_(170900.4340228751077815276338342892187005146619881755020781374282366220361628632145020859022759543646) }}, 
+      {{ SC_(171464.0625), SC_(0.968867778778076171875), SC_(172236.905515185348613520159589244969601354143298301884427671166903159884473708788358619633391766896), SC_(170692.8701620843835232223758792946766066205588069757104160071945587119499747986058865001180462595334) }}, 
+      {{ SC_(287713.625), SC_(0.12698681652545928955078125), SC_(287101.8390891334881074097768409639811422105174055074247663991980671146735409214228746030537490827894), SC_(288325.6117858325819400290984010245379181857090949256951183079858217963457877563186041586190041828876) }}, 
+      {{ SC_(287713.625), SC_(0.135477006435394287109375), SC_(287123.2018824342060405509691117625160296096920082481743462259847740285682319170194185122522020998578), SC_(288304.1893914925111228677903149683935820829058722939396270910064082845368520684242652738579958079628) }}, 
+      {{ SC_(287713.625), SC_(0.22103404998779296875), SC_(287301.1633297324049890437619176952336530543502592319387571077608781438650607731795664155648991042492), SC_(288125.8139425596597585955824696111531518443099937996959008431783465244705148305958926033655366242125) }}, 
+      {{ SC_(287713.625), SC_(0.308167040348052978515625), SC_(287444.6161875962380911288819205876894144456711595429288695779716233686378459491093953007953541560695), SC_(287982.1345150191015439663126413778115578427703552946723363867416179375439869486600021290202033928835) }}, 
+      {{ SC_(287713.625), SC_(0.6323592662811279296875), SC_(287894.6874489179014071783111281890207171400441598448189286641946463264879755117085964912831960132818), SC_(287531.9720960921756986707071354480752766558762675841713700852373467579201294942464262449709073610385) }}, 
+      {{ SC_(287713.625), SC_(0.814723670482635498046875), SC_(288193.8624685657253120713231978071896495272422042999916280573686361169253355069989533169539117598378), SC_(287233.2554050650734668559921717066438674227127230795422265297442527832155003247585279503101394869551) }}, 
+      {{ SC_(287713.625), SC_(0.835008561611175537109375), SC_(288236.1305748677261264763139679877739018298385456598709163321801212462074437452189204330390376852663), SC_(287191.0854018844619610439948437360860177127073148068576003551456242291546450349862447341532794138293) }}, 
+      {{ SC_(287713.625), SC_(0.905791938304901123046875), SC_(288419.3697666997195573795607481350142848162288944628671823192696454698912657762168311546144078778697), SC_(287008.3668726438555694570198503384645300805316567228857999141205296735618456088406804345883798515772) }}, 
+      {{ SC_(287713.625), SC_(0.9133758544921875), SC_(288444.3862532392817919544710751213857359531657572985942506273978341080423727813156579392633735805302), SC_(286983.4334860286298928127732334989709654886825090910274253943356470926729788108952795775884980653786) }}, 
+      {{ SC_(287713.625), SC_(0.968867778778076171875), SC_(288714.4987040958494150791768379727138187987696180207795301950993211293148528792180512566346062773377), SC_(286714.4019734332685576845212232609186614672218264529859295616546913400761609253508670570311556417372) }}, 
+      {{ SC_(811189.1875), SC_(0.12698681652545928955078125), SC_(810161.8590312371865843168933980041081328325710070299088178861493265134389880308605518391017994747884), SC_(812216.7168437188563979284647249628251019755537428376273766031544801981839282189973470746075052877665) }}, 
+      {{ SC_(811189.1875), SC_(0.135477006435394287109375), SC_(810197.7498979269406216229333830071350035973327816952880714391211131397799458403161724415876017573062), SC_(812180.7663759825506891792362570130089364226324810883040952150567099852012280358577738543974186957542) }}, 
+      {{ SC_(811189.1875), SC_(0.22103404998779296875), SC_(810496.7085818541638251177278868436507795786808493806841003579619404032620103009446072000163980337239), SC_(811881.3936903780003325280400757211189636198717447205229093798838652404976779035708631850160770953495) }}, 
+      {{ SC_(811189.1875), SC_(0.308167040348052978515625), SC_(810737.6596810209441188397088671254688261035908114807153029865438117474573459893950971804983662488815), SC_(811640.2160215165658363785038485826735353144913795793280443540697836953543164349103546800608981662806) }}, 
+      {{ SC_(811189.1875), SC_(0.6323592662811279296875), SC_(811493.4130930334681784464934025270672115225675384515035359787878148824734579705400730129452548515192), SC_(810884.3714518926483987655962044487674578474311600687306107087577719289978417856154576706566527627155) }}, 
+      {{ SC_(811189.1875), SC_(0.814723670482635498046875), SC_(811995.6073944837810507278595067896837851547513348796820987055379061808847590525648652941945063796637), SC_(810382.6354791001731534931504185529321689341432235194142157415772145748880181384490815012739271443493) }}, 
+      {{ SC_(811189.1875), SC_(0.835008561611175537109375), SC_(812066.5471821809268774383895112728062329337775853423876890314159367663267493240015649616128193898023), SC_(810311.7937945344017345682607983665585726031514332575059314866957462286550595648052571524209586357645) }}, 
+      {{ SC_(811189.1875), SC_(0.905791938304901123046875), SC_(812374.0504188456832837387624199860361643216611730814901346962998291782800792848840022126928346732626), SC_(810004.8112205260695868832902010461963334632154865047659274031951119044731278686388069124903893504951) }}, 
+      {{ SC_(811189.1875), SC_(0.9133758544921875), SC_(812416.0278043274019558628676997090748402578371572470019350929977553824684311176493949507102425008448), SC_(809962.9169349809432409688756513667346638313258479402030261893546740734029634599290918129699775355502) }}, 
+      {{ SC_(811189.1875), SC_(0.968867778778076171875), SC_(812869.2110457723077173766634087729640503055024244625964488641332722990514021020625997363526699219015), SC_(809510.8146320036991512143859204546175464755726797868383946222879006660812841804439525397298317135306) }}, 
+      {{ SC_(1340602.5), SC_(0.12698681652545928955078125), SC_(1339281.789217310227603638956713067406749799202177619440960783591278712272782687984485318465325634698), SC_(1341923.411657643639007333777049618448197159121016565415209623831539285788844610953752838000410332646) }}, 
+      {{ SC_(1340602.5), SC_(0.135477006435394287109375), SC_(1339327.937228622487435434723558076320553619035659265800295103113312125271806499402498542109463722967), SC_(1341877.204045283265012388313242013019815575145051478003059780209276879235388989175125836420473319923) }}, 
+      {{ SC_(1340602.5), SC_(0.22103404998779296875), SC_(1339712.322663835647115463627093526039417214514450079134571740611687493566900248789753047878427302874), SC_(1341492.404608383515658278630627107716714934192755525237250501053389901217595022258339024841963265735) }}, 
+      {{ SC_(1340602.5), SC_(0.308167040348052978515625), SC_(1340022.109695761389373850715324652137775669433408208271739480026258057424153514144279448404087341583), SC_(1341182.391006759227701894203217959369703988360879936035471868679603927201823099528589868185221044072) }}, 
+      {{ SC_(1340602.5), SC_(0.6323592662811279296875), SC_(1340993.681516583716822573407774790571084098092620222888109700458969964450847155204734529531816156073), SC_(1340210.728028324176179123620867989801125006955369657205955659737293424313505301822663996693364643671) }}, 
+      {{ SC_(1340602.5), SC_(0.814723670482635498046875), SC_(1341639.21195865400971691711247042743964641649950184497692636094105194253010661428811607626202482777), SC_(1339565.655914919776901964481359375383609125899415767739147337874327439960785358915178860477236871205) }}, 
+      {{ SC_(1340602.5), SC_(0.835008561611175537109375), SC_(1341730.394593718344730348431912807931874774159152781393115335369100867655446425097778085615493303823), SC_(1339474.571382988983554873353395399477444166684037486807114439003468351504601181586784778488843724471) }}, 
+      {{ SC_(1340602.5), SC_(0.905791938304901123046875), SC_(1342125.631024741747482365874818097900648331829089766546145385089458404019214871024479928583367510744), SC_(1339079.85561463612134401235478017313574989598767112679109272711123705107621660725882816550403989336) }}, 
+      {{ SC_(1340602.5), SC_(0.9133758544921875), SC_(1342179.58318466684205310449571855171979481228479144098285572172412554068281390306320099547841289301), SC_(1339025.98655465027920550229578505314111660672260003165765196039783266546290600690587108716340600317) }}, 
+      {{ SC_(1340602.5), SC_(0.968867778778076171875), SC_(1342762.018513537047540360796759927612282441879039821617202574156172598071372824957647151677236387446), SC_(1338444.632164292546392718217459403862675869956866545071666772833839055979245806235185884461105636674) }} 
+   } };
+
+
diff --git a/src/boost/libs/math/test/gamma_inv_data.ipp b/src/boost/libs/math/test/gamma_inv_data.ipp
new file mode 100644
index 000000000..abe77d3d5
--- /dev/null
+++ b/src/boost/libs/math/test/gamma_inv_data.ipp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 200> gamma_inv_data = { {
+      {{ SC_(9.754039764404296875), SC_(0.12698681652545928955078125), SC_(6.349849983781954486964960115093039567468747967664820851534065876063014180392060424555352423162443804), SC_(13.35954665556050630769710564071384909890705633863167415813992116806093647564994418684947673739937248) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.135477006435394287109375), SC_(6.443655518427200469944002789678415067225918847146256390238048987798948404483563975737891105237977816), SC_(13.20648307403762788665455912344161337928185855631083250140430065533748994841668643195553261756810763) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.22103404998779296875), SC_(7.262299107203547511919478506673940833772294421637239641242141768466064388735007729524335022945474356), SC_(11.97587613793353953360795933135034836336725275703898828955465276118339699687746564051854946108002967) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.308167040348052978515625), SC_(7.97160002999034906812099484768140342301220827266158714468555902274184312977405873043165132107201808), SC_(11.04086573531719578182530917737022531437091511425536985032928875608312723663655612529685653444775069) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.6323592662811279296875), SC_(10.49594448867679616659291265911862460649618853634598426379731165830605063134254492272180891868259779), SC_(8.425658710690898403870129948430842533053798281214253294861614223449877730063968146709177371998177282) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.814723670482635498046875), SC_(12.4361412533700118513726558060654652709881561861912344653689388650864659162098713582998706613513665), SC_(6.942010644016112027186983623736329615032487299108703218184306594043669003923138791980905906975995029) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.835008561611175537109375), SC_(12.72773220471889504229650982423238107961665601639868914273535729539112172086261925240837297640844728), SC_(6.748045775833720602368139518425707341668236119625769419950098701512116894292576121300681462006500869) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.905791938304901123046875), SC_(14.04289410800251925225181397652529175357661325918932141591196059344562473318317362439395292198624427), SC_(5.950449506005127213772609250049267524655862647593667247023701745572192142411485108776352863016275192) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.9133758544921875), SC_(14.22894231389791438923272291986931994699865499051360224227851330535373836529589979766491736680448836), SC_(5.846919097207863070421132965572838346244481147780105186426552033007650921954238889468080440271030891) }}, 
+      {{ SC_(9.754039764404296875), SC_(0.968867778778076171875), SC_(16.33883627400002069452382739015521709223507055939529263776286910527953871886379701300232417366169237), SC_(4.808199239905297896929793615245708425392715583004661735514849678846177677735540465249046080150658016) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.12698681652545928955078125), SC_(8.784921019272498426105463510492037221421052305018408345439418701592122876845445386318018554294593597), SC_(16.81366073413268797817072489278431450377279434529634658485607365405913967176896119547533072607895572) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.135477006435394287109375), SC_(8.896383236591753135866154471087553855363191438952119644843354891974586610224750070854729638914776046), SC_(16.6428583989184708274029070066937822603130962248261232385768762701676877405494336531756951743065766) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.22103404998779296875), SC_(9.862617469220713982665965583371935244918334904047351290421210068334907822439623183798321618935666208), SC_(15.26417216941950344244469055509062778775449055335485936125735788919407017713513029239167766664433603) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.308167040348052978515625), SC_(10.69138713107098569132745297244807793219586717588054769942754175121170431877955989315300122291141203), SC_(14.20948610118405050986416627593847862222152891932304799177300336536994233985896539635674080339978587) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.6323592662811279296875), SC_(13.59160242982394546525659606547105412243476185288599611155553845175046676029707044791838719524314813), SC_(11.21833709961257197262317281372631080045506080803403124590125627441167267860541032250322395715509712) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.814723670482635498046875), SC_(15.78100200803618704628341940958738974144994852378563374179722297850145536660826670260570594353062151), SC_(9.485914242958992367868116579661562385020487098469515689243995498338666786774277962701684145364614028) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.835008561611175537109375), SC_(16.10768378194664520785164274219032682174067248024299096512267552941928679913022155729117705239039614), SC_(9.256972936850435511821520144816528171581971265534873471330923432517135603499344161300868431486273563) }}, 
+      {{ SC_(12.69868183135986328125), SC_(0.905791938304901123046875), SC_(17.57451392394839637853072154924202340041250318069820417410699000204190551648457756693657445268580362), SC_(8.308449130090979664905693116847977133757857856259019618478292317862193093391266421876368176026885601) }}, 
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+      {{ SC_(95.7506866455078125), SC_(0.6323592662811279296875), SC_(98.75751085223438797379949043614472338672554374893220316533310803642986250787163272087838741859028974), SC_(92.15379972445146037548855116091818614346239163331270435359001670198044863142860931051035663509802997) }}, 
+      {{ SC_(95.7506866455078125), SC_(0.814723670482635498046875), SC_(104.4310431781802048505261488275858182403809062126774572297150124139631023428137767694710937471029547), SC_(86.93842241451993312105235750909193838866513021090338601967079336145848071876097709023085891034460879) }}, 
+      {{ SC_(95.7506866455078125), SC_(0.835008561611175537109375), SC_(105.2492867669474260992245597479965927800541302232811288130596139166824197855151072036214880672013574), SC_(86.21823526035073958985770975653279499531922339748481146612403762839451531762247572034072236781689142) }}, 
+      {{ SC_(95.7506866455078125), SC_(0.905791938304901123046875), SC_(108.8445704767840987866479170746614726925774354472826306350316613868195009161323130293841293515910082), SC_(83.14331014654886313660311225808183905221284934075565854014125461525738817219263762303355064628802463) }}, 
+      {{ SC_(95.7506866455078125), SC_(0.9133758544921875), SC_(109.3414905596746490817233424811163781706270202086969055042667631657018487326153861628725649462342907), SC_(82.72943271608211391542555552414805926519799944531816550122127101623220880364426707612559186750036326) }}, 
+      {{ SC_(95.7506866455078125), SC_(0.968867778778076171875), SC_(114.8004831907863234890701734636484327238767969046585415152597983471340795113178735593950878428349183), SC_(78.35041395285272012339968017689162204010315148488754492497140762846636499068662347314738828431489766) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.12698681652545928955078125), SC_(85.40224841570944638734227688423893433855458772234486768972915837485986575928657672649635117618498298), SC_(107.7763796517941403050191975480102923537258879116567951235523333381552131584750702102640261211678372) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.135477006435394287109375), SC_(85.76386251923861953411158141479414219175520126160270389455592068586888734454609842651493737410307223), SC_(107.355197900557971580171152013628344457543628574577422257759623095192652931240239873125678032841095) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.22103404998779296875), SC_(88.81566799665044092744595886289529036607780903234653146828139052389457111286467963605861430389924168), SC_(103.8895887821161642562813145433045663638035217668183230013539711623214806941804452662410996925715041) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.308167040348052978515625), SC_(91.32717591526663550290360602434059313431549465806685558773754677760031734788863076189049095027720393), SC_(101.1515944064119508827462337472282493152515205016306631012848195887068586486481326769950293608001619) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.6323592662811279296875), SC_(99.50842996001980570093492893545129760529687182434782170521934298627158520145339373459124566770891621), SC_(92.87921122174092819447365167780955457328429254963518059312175391928652696661704878419202206228541363) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.814723670482635498046875), SC_(105.2029792838659943587200025142545208759887382041822746300575519413044047054722309005955305036161377), SC_(87.64281824886126340786290265727047796829995176261916595167200070261399325976826176454758255622090373) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.835008561611175537109375), SC_(106.0241899009105585829981778185725663794090155163934444806888492668631324979036876101314574132110467), SC_(86.91966442528721613834997221916303625301151697302422529937237691169490488131478246669789917860181866) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.905791938304901123046875), SC_(109.632328199431186948728697681102647622513560608216860137973465578512450993365248288605876185488063), SC_(83.831887058824506730781125226296666699739941877662585243806150953849984463678829297116813212627646) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.9133758544921875), SC_(110.1310021528084660149240587302351814159490648063853530597896206111097939221527935389306929055552969), SC_(83.41625619786673946357580258076679845000023541178136246022830883747669157052264119768074837953252578) }}, 
+      {{ SC_(96.48885345458984375), SC_(0.968867778778076171875), SC_(115.6089130958749299514883584085033759636221605217619269705849543570783654779111750581571984448805251), SC_(79.01832652875479939372093655751198778535669443440143855308435747468988132057271401542733720175779538) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.12698681652545928955078125), SC_(85.66657750874739469547512498154347522235188231648565220634305107484234320567666091367915494015416444), SC_(108.0733297219970995289044878724552964709801970908861066154758974833813501997292082482169847849842687) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.135477006435394287109375), SC_(86.02876139898260672726600243973192770706439640865219156595172309673122716789298224371535188963723919), SC_(107.6515780867799770117661808014199064971238982913450221569986285857250999570093723690322859133017628) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.22103404998779296875), SC_(89.08531400744336186067252664677283783814199671377820398006060143891977565526059606865036262120216651), SC_(104.1812212603686696841219085268070231633920490669485235449415011417880247786907830292023203722582168) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.308167040348052978515625), SC_(91.60064879701576510534749689011907172659393504122722555758328411997347916008970916841672273584793764), SC_(101.4393997711157079405600101069862599321398650689581381488009945469269770041338953448110448172892026) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.6323592662811279296875), SC_(99.79390498583282267747367640192760345340242419618915080320329241522875454065363373143904510056165602), SC_(93.15501435937740064521981311484302896929993188228186524291695956100977073816945515857001929552597095) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.814723670482635498046875), SC_(105.4964234743595005609188265306032885940660970929811549527177570196863403032205916377074972062264123), SC_(87.91065272397658470438080075718364119140918058622597797720593096563608412568220142395981935781917024) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.835008561611175537109375), SC_(106.3187591228176309855276419225562432785653104517382593360529234982297445615720549508412768532099608), SC_(87.18637400398396729454873004425612179479901834703760966616501063632011746505615593282942009300179105) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.905791938304901123046875), SC_(109.9317716055940761122201143094980392464036326491210952369698916672198597495550324149880065760473155), SC_(84.09372333199673608894932811772448706853763070273309780826650202973992001995002859576724818134913197) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.9133758544921875), SC_(110.4311105903100081342306281781082071328418466292197456125956889729803536963582441336296302888028325), SC_(83.67742760521194208943145201595227174608840519679603038059666880122541634308754504144269691845150911) }}, 
+      {{ SC_(96.76949310302734375), SC_(0.968867778778076171875), SC_(115.9161949889672865872656944872656195582808138908715335015430022493129005386628428325182877039995528), SC_(79.27232726643702452907227271525181594407865345866654791457885273052858866012143096861812371516819179) }}, 
+      {{ SC_(96.88677978515625), SC_(0.12698681652545928955078125), SC_(85.77705461275145448884184059670145747521324447364087355443564066717292942873712266655592894528945075), SC_(108.1974259266303739342129335428037209741781454705698436168676387012127325183089364902420555366305249) }}, 
+      {{ SC_(96.88677978515625), SC_(0.135477006435394287109375), SC_(86.13947638660273537607617797225818302967596277706316272497449385980828904225751838598285834339519238), SC_(107.7754363673111045358250989623133895971276161674093725616390243200830616475322308551119601859130334) }}, 
+      {{ SC_(96.88677978515625), SC_(0.22103404998779296875), SC_(89.19801090135184939390245706193405169176549635487039248489026590941180753301388663412721735576321637), SC_(104.303097394495799294372250781586897128195400654164057731103146194763518182779182946576641478069721) }}, 
+      {{ SC_(96.88677978515625), SC_(0.308167040348052978515625), SC_(91.71494339117641802078300859375955112036353245403466238208206609501713738531687709888727846374220247), SC_(101.5596781040232907041174239729021685664962703423596338499551294822205119304087839696845462359932232) }}, 
+      {{ SC_(96.88677978515625), SC_(0.6323592662811279296875), SC_(99.91321041399301890022248019929425333093777275293504995176977393792207303217751781884016953326513252), SC_(93.27028182373934286726143682979876487457174316526593549555606409814744254116785632934954719197063508) }}, 
+      {{ SC_(96.88677978515625), SC_(0.814723670482635498046875), SC_(105.6190559898476156470186567579393301754748152475973702217991816082889685177874122562146896005249944), SC_(88.02259331001012120627028106232129904822055055556600307087377855217320920333717783932291335717822205) }}, 
+      {{ SC_(96.88677978515625), SC_(0.835008561611175537109375), SC_(106.4418613337789150662834465967539150510046334986089761472345980178424275895338147417938388378383452), SC_(87.29784495072955079812818934548098966769091817510334571872237486624733050376758448869012427921348781) }}, 
+      {{ SC_(96.88677978515625), SC_(0.905791938304901123046875), SC_(110.0569087676460965549175443673536809664664474411088689872017507564098916733669125115542247049201894), SC_(84.20315969338196572854989530819363045048574233294597930405622554273285477875183350125731165187977316) }}, 
+      {{ SC_(96.88677978515625), SC_(0.9133758544921875), SC_(110.5565254003095472952924400285409013273476504290357273156728780589299796669406748094430938087789149), SC_(83.78658638753611514607257793963173397254674898146787358050233273515081350499995107177237482387571899) }}, 
+      {{ SC_(96.88677978515625), SC_(0.968867778778076171875), SC_(116.0446046920873528112033609608677991511189155730617459927921222740219988503465630098188771574112136), SC_(79.37849231515456241832266533882883215341998528772913479392294938930751337258526935579401070862595695) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.12698681652545928955078125), SC_(88.03988401755240312059902805285183521237299995487686023059008881496181934461141706605374564277485821), SC_(110.7372992692725573731697591393548589103394841966076790991646614865573118064484762681255166487645814) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.135477006435394287109375), SC_(88.40714494536321930498314541057705121558781002694191911704447280462237009318667590621848989831217393), SC_(110.3104697481858991610699642415404049205540549382020546666969615332025792346398477535378399730503648) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.22103404998779296875), SC_(91.50599625629075695333925558823944000033068037616404547594790241831618127835838880946155946667230488), SC_(106.7978091882579180957227826327399587317254598205887947452130155885496447480794670408964903808852888) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.308167040348052978515625), SC_(94.05542966722570497040226539391420130180692037513060042769613095280747364242278963119073910822820164), SC_(104.0218869621341187749106671918013336314305862052064089048569771555329392581844795819010636668843943) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.6323592662811279296875), SC_(102.3556282071769826944006172794969028033974462498658650696807922850126796685689047547579596993931716), SC_(95.63055847544334211087138998067211381097918211020892885108659046928523862524001913745220040268349381) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.814723670482635498046875), SC_(108.1291543562602928024304751748147804453998345888983839614623715132630298762313311048580828345727242), SC_(90.31519355853058782089312287195256334067426270863324117470164569056437169804425894072388785174414288) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.835008561611175537109375), SC_(108.9615144259886825743527192622351022097444435851716881383594981271001329308716835208190947446502812), SC_(89.58089159449409507162289598004762894727083770234022756966805353276045874719787836940516270710021009) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.905791938304901123046875), SC_(112.6179577986881681054950590064902019242389712272583112203724181108477339819399828823424603515837391), SC_(86.44481769564459753753709972148206867820207960268756150487253069049902935247326722392696033050460213) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.9133758544921875), SC_(113.1232225034369918026921896528672269476075103218287973199007233652864695087604791431815686564542933), SC_(86.02259769219673888125653444633780832251026932468113275214161763610722920488400091593471887527263333) }}, 
+      {{ SC_(99.2881317138671875), SC_(0.968867778778076171875), SC_(118.6722260958635779664708398764065569812316717572450903065068638638609506808950759768663333735117402), SC_(81.55360245504441686527910864220010764542026336630740606229239169661041788764418800722537023927646871) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.12698681652545928955078125), SC_(88.37737888107073636627500424906781041431096054016259174725751830523083014165218482437664265598787634), SC_(111.1158076628131535311143363083607562906226185676374371847096774914864724460972364755857498710894997) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.135477006435394287109375), SC_(88.74535620460806340987854361816128428024320481905389016348646200088835179377114089479753531259500676), SC_(110.6882616289176406115134461249367870803764967094106173548894808946298474490315397099426966057522927) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.22103404998779296875), SC_(91.85017604570320860123048741031650279971434577969683060829287638362971682925038461612569617055793725), SC_(107.1696318444364396459981501446757609223861217010281426345016448193737147409852464617600305678038153) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.308167040348052978515625), SC_(94.40442088829506749763117819247805230794301031739748106412466854828283371649057563467379541863694276), SC_(104.388897894676876174661084670063039489707876655517563928756296867121616845615313628471178466624892) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.6323592662811279296875), SC_(102.7197092844094654604597714681631790586173807125641768128671855549332709686069679473684528779727183), SC_(95.98247945192366927890502346818486620765311827085464016312581482129126586465008442638253208379782958) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.814723670482635498046875), SC_(108.5032548424476463598183504899336466748975635468938732532626605779594870328299994789652482831953253), SC_(90.6570957304451106144185164419238349454797081258790911488865971436148449646391904615295180665722972) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.835008561611175537109375), SC_(109.3370293976377603308634730796822871722180822156146079704298307111056783571551863417375442399229845), SC_(89.92137944342759462480459816579961426775458462692578398945994611785848960085110828841885491701675714) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.905791938304901123046875), SC_(112.999601070860905668295141701157176040361351555369172846468529901685867407811198602410255587767563), SC_(86.7791783017191311959905806085341928361560825596664875827422581491589972224048336103416333886978357) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.9133758544921875), SC_(113.5057019266017757553572395745632780679072776470909404929295494401706417401173397780562513398354094), SC_(86.35612234649621027962836929188910335213017738233582627676662911520231216242529540127044730529945437) }}, 
+      {{ SC_(99.6461334228515625), SC_(0.968867778778076171875), SC_(119.0637249422376961671341002862243780120617645758579051054825546123558214039984323476889351592427586), SC_(81.87811103947525043911330324465564757254090604246213044539733449282580273670542563644266281418367064) }}
+   } };
diff --git a/src/boost/libs/math/test/gamma_inv_small_data.ipp b/src/boost/libs/math/test/gamma_inv_small_data.ipp
new file mode 100644
index 000000000..0ec5c397c
--- /dev/null
+++ b/src/boost/libs/math/test/gamma_inv_small_data.ipp
@@ -0,0 +1,237 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 229> gamma_inv_small_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.12698681652545928955078125), SC_(BOOST_MATH_SMALL_CONSTANT(0.2239623606222809074122747811596115646210220735131141509259977248899758059576948436798908594057794725e-517862)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4348301951174619607003912855228982264838968134589390827069898370149065135278987288014463439625604227e-34079)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.135477006435394287109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9832661142546970309065948494116195914044751609094617663675341704778529043412686011701793912754530322e-501622)), SC_(BOOST_MATH_SMALL_CONSTANT(0.174464879621346471044494182889773112103066192989857880445657763562407515813032064473382568887549155e-36531)) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.22103404998779296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.8367188988033804556441828789142666841098768711906267440588049611090664598162301930590308375972597743e-378782)), SC_(BOOST_MATH_SMALL_CONSTANT(0.258455732678645501224573885451125893770282157149004436646252270592694652815341234774299743101856032e-62682)) }}, 
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+      {{ SC_(3.451677799224853515625), SC_(0.968867778778076171875), SC_(7.629721526111596714926608293951817133394478840350583630509809227411335042302400047948310886098339447), SC_(0.8888562589855856249970510117949218013780557896569702678778170096314482315508385771830674194073130007) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.12698681652545928955078125), SC_(4.844756913723969959067287277171911999837470793758606581225223922671033928947591753701039975119122724), SC_(11.12140061565551307712696521346785564818459658303388261577657023731780253761925900663967051291410247) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.135477006435394287109375), SC_(4.92589841429445857984116213454195626941969554762437568942405393109061358846779703244707367287195874), SC_(10.98108673974325765715303476569448043717025909739070272421996079460616793044380919148069611984481183) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.22103404998779296875), SC_(5.638560786091699351123899548104079140326479351812437435515873530054583524774506292906280460797833098), SC_(9.856971749403947096825033526804503350139699007114203432014510548601579942970233052344921183682478769) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.308167040348052978515625), SC_(6.261950304915309281829468403028535426991401847081170989871860432142896140500397036811479661870310452), SC_(9.008089510076067200136139130648726551693948927672843011870424870503873689961795526187249783039453752) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.6323592662811279296875), SC_(8.515696299640880133197109983199329596272030624087086595627597017830637055606241372115218386957077541), SC_(6.663555576689267756072158572952790106439493579837933095211305263932099060610857357449696082841290954) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.814723670482635498046875), SC_(10.27654630671120554490045038357659906211059116424349156516366240949281281132412336553759708614503569), SC_(5.358806007367185234198567710812204619111113995842409126062778294563755657191876758668190895570062463) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.835008561611175537109375), SC_(10.54290123180201991341358069212563540909069376048726692932615624195393691868675916167585864103920169), SC_(5.189957597342458441237551570990662655102247885622660703905796425516481457633806742834164945056029809) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.905791938304901123046875), SC_(11.74906177063792723279214648184444217353993726634172219771095374095196747935628306762462714050027469), SC_(4.500589730419825679581934453582185709058743448290168867874541939460911484143125315702278379652817014) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.9133758544921875), SC_(11.92028503924933449320581621786613441617387709458224965565099431099659181938764039147894571145926575), SC_(4.411739446802953797688885844731597182665766011787872803903470630812608976887737596597075028566679532) }}, 
+      {{ SC_(7.88237094879150390625), SC_(0.968867778778076171875), SC_(13.87112145371288914260504318784118251728461784612328590191541928786695318093130503135200110507250744), SC_(3.529662237308642030515257624627728599863992204849868392777953155280407948755004639499026009930636495) }}
+   } };
+
diff --git a/src/boost/libs/math/test/gauss_kronrod_quadrature_test.cpp b/src/boost/libs/math/test/gauss_kronrod_quadrature_test.cpp
new file mode 100644
index 000000000..c80ffe854
--- /dev/null
+++ b/src/boost/libs/math/test/gauss_kronrod_quadrature_test.cpp
@@ -0,0 +1,535 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE Gauss Kronrod_quadrature_test
+
+#include <complex>
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/gauss_kronrod.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/multiprecision/debug_adaptor.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+
+#if !defined(TEST1) && !defined(TEST1A) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST1A
+#  define TEST2
+#  define TEST3
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::math::quadrature::gauss_kronrod;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::multiprecision::cpp_dec_float_50;
+using boost::multiprecision::debug_adaptor;
+using boost::multiprecision::number;
+
+//
+// Error rates depend only on the number of points in the approximation, not the type being tested,
+// define all our expected errors here:
+//
+
+enum
+{
+   test_ca_error_id,
+   test_ca_error_id_2,
+   test_three_quad_error_id,
+   test_three_quad_error_id_2,
+   test_integration_over_real_line_error_id,
+   test_right_limit_infinite_error_id,
+   test_left_limit_infinite_error_id
+};
+
+template <unsigned Points>
+double expected_error(unsigned)
+{
+   return 0; // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<15>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<17>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<21>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-12;
+   case test_ca_error_id_2:
+      return 3e-6;
+   case test_three_quad_error_id:
+      return 2e-13;
+   case test_three_quad_error_id_2:
+      return 2e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-8;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<31>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 6e-20;
+   case test_ca_error_id_2:
+      return 3e-7;
+   case test_three_quad_error_id:
+      return 1e-19;
+   case test_three_quad_error_id_2:
+      return 6e-4;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-11;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<41>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-26;
+   case test_ca_error_id_2:
+      return 1e-7;
+   case test_three_quad_error_id:
+      return 3e-27;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 5e-5;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-15;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<51>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 5e-33;
+   case test_ca_error_id_2:
+      return 1e-8;
+   case test_three_quad_error_id:
+      return 1e-32;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-14;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-19;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<61>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 5e-34;
+   case test_ca_error_id_2:
+      return 5e-9;
+   case test_three_quad_error_id:
+      return 4e-34;
+   case test_three_quad_error_id_2:
+      return 1e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-16;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-23;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+
+template<class Real, unsigned Points>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by gauss_kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+    auto f = [](const Real& x)->Real
+    {
+       return 5*x + 7;
+    };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, (Real) 0, (Real) 1, 0, 0, &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+
+    Q = gauss_kronrod<Real, Points>::integrate(f, (Real) 1, (Real) 0, 0, 0, &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, -9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+
+    Q = gauss_kronrod<Real, Points>::integrate(f, (Real) 0, (Real) 0, 0, 0, &error, &L1);
+    BOOST_CHECK_CLOSE(Q, Real(0), tol);
+}
+
+template<class Real, unsigned Points>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by Gauss Kronrod on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    Real error;
+
+    auto f = [](const Real& x)->Real { return 5*x*x + 7*x + 12; };
+    Real L1;
+    Real Q = gauss_kronrod<Real, Points>::integrate(f, 0, 1, 0, 0, &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+}
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real, unsigned Points>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_ca_error_id);
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& x)->Real { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = gauss_kronrod<Real, Points>::integrate(f1, 0, 1, 0, 0, &error, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0 , 1, 0, 0, &error, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    tol = expected_error<Points>(test_ca_error_id_2);
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f5, 0, 1, 0);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_three_quad_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 1:
+    auto f1 = [](const Real& t)->Real { return t*boost::math::log1p(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0 , 1, 0);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t)->Real { return t*t*atan(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f2, 0 , 1, 0);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t)->Real { return exp(t)*cos(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f3, 0, half_pi<Real>(), 0);
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 0 , 1, 0);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    tol = expected_error<Points>(test_three_quad_error_id_2);
+    // Example 5:
+    auto f5 = [](const Real& t)->Real { return sqrt(t)*log(t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f5, 0 , 1, 0);
+    Q_expected = -4/ (Real) 9;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 6:
+    auto f6 = [](const Real& t)->Real { return sqrt(1 - t*t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f6, 0 , 1, 0);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real, unsigned Points>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_integration_over_real_line_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), 0, 0, &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for Gauss Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_right_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+
+    // Example 11:
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, 0, boost::math::tools::max_value<Real>(), 0, 0, &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t)->Real { return 1/(1+t*t); };
+    Q = gauss_kronrod<Real, Points>::integrate(f4, 1, boost::math::tools::max_value<Real>(), 0, 0, &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Real, unsigned Points>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for Gauss Kronrod in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_left_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 11:
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t);};
+    Q = gauss_kronrod<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), Real(0), 0);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Complex>
+void test_complex_lambert_w()
+{
+    std::cout << "Testing that complex-valued integrands are integrated correctly by Gaussian quadrature on type " << boost::typeindex::type_id<Complex>().pretty_name() << "\n";
+    typedef typename Complex::value_type Real;
+    Real tol = 10e-9;
+    using boost::math::constants::pi;
+    Complex z{2, 3};
+    auto lw = [&z](Real v)->Complex {
+      using std::cos;
+      using std::sin;
+      using std::exp;
+      Real sinv = sin(v);
+      Real cosv = cos(v);
+
+      Real cotv = cosv/sinv;
+      Real cscv = 1/sinv;
+      Real t = (1-v*cotv)*(1-v*cotv) + v*v;
+      Real x = v*cscv*exp(-v*cotv);
+      Complex den = z + x;
+      Complex num = t*(z/pi<Real>());
+      Complex res = num/den;
+      return res;
+    };
+
+    //N[ProductLog[2+3*I], 150]
+    boost::math::quadrature::gauss_kronrod<Real, 61> integrator;
+    Complex Q = integrator.integrate(lw, (Real) 0, pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q.real(), boost::lexical_cast<Real>("1.09007653448579084630177782678166964987102108635357778056449870727913321296238687023915522935120701763447787503167111962008709116746523970476893277703"), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q.imag(), boost::lexical_cast<Real>("0.530139720774838801426860213574121741928705631382703178297940568794784362495390544411799468140433404536019992695815009036975117285537382995180319280835"), tol);
+}
+
+BOOST_AUTO_TEST_CASE(gauss_quadrature_test)
+{
+#ifdef TEST1
+    std::cout << "Testing 15 point approximation:\n";
+    test_linear<double, 15>();
+    test_quadratic<double, 15>();
+    test_ca<double, 15>();
+    test_three_quadrature_schemes_examples<double, 15>();
+    test_integration_over_real_line<double, 15>();
+    test_right_limit_infinite<double, 15>();
+    test_left_limit_infinite<double, 15>();
+
+    //  test one case where we do not have pre-computed constants:
+    std::cout << "Testing 17 point approximation:\n";
+    test_linear<double, 17>();
+    test_quadratic<double, 17>();
+    test_ca<double, 17>();
+    test_three_quadrature_schemes_examples<double, 17>();
+    test_integration_over_real_line<double, 17>();
+    test_right_limit_infinite<double, 17>();
+    test_left_limit_infinite<double, 17>();
+    test_complex_lambert_w<std::complex<double>>();
+    test_complex_lambert_w<std::complex<long double>>();
+#endif
+#ifdef TEST1A
+    std::cout << "Testing 21 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 21>();
+    test_quadratic<cpp_bin_float_quad, 21>();
+    test_ca<cpp_bin_float_quad, 21>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 21>();
+    test_integration_over_real_line<cpp_bin_float_quad, 21>();
+    test_right_limit_infinite<cpp_bin_float_quad, 21>();
+    test_left_limit_infinite<cpp_bin_float_quad, 21>();
+
+    std::cout << "Testing 31 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 31>();
+    test_quadratic<cpp_bin_float_quad, 31>();
+    test_ca<cpp_bin_float_quad, 31>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 31>();
+    test_integration_over_real_line<cpp_bin_float_quad, 31>();
+    test_right_limit_infinite<cpp_bin_float_quad, 31>();
+    test_left_limit_infinite<cpp_bin_float_quad, 31>();
+#endif
+#ifdef TEST2
+    std::cout << "Testing 41 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 41>();
+    test_quadratic<cpp_bin_float_quad, 41>();
+    test_ca<cpp_bin_float_quad, 41>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 41>();
+    test_integration_over_real_line<cpp_bin_float_quad, 41>();
+    test_right_limit_infinite<cpp_bin_float_quad, 41>();
+    test_left_limit_infinite<cpp_bin_float_quad, 41>();
+
+    std::cout << "Testing 51 point approximation:\n";
+    test_linear<cpp_bin_float_quad, 51>();
+    test_quadratic<cpp_bin_float_quad, 51>();
+    test_ca<cpp_bin_float_quad, 51>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 51>();
+    test_integration_over_real_line<cpp_bin_float_quad, 51>();
+    test_right_limit_infinite<cpp_bin_float_quad, 51>();
+    test_left_limit_infinite<cpp_bin_float_quad, 51>();
+#endif
+#ifdef TEST3
+    // Need at least one set of tests with expression templates turned on:
+    std::cout << "Testing 61 point approximation:\n";
+    test_linear<cpp_dec_float_50, 61>();
+    test_quadratic<cpp_dec_float_50, 61>();
+    test_ca<cpp_dec_float_50, 61>();
+    test_three_quadrature_schemes_examples<cpp_dec_float_50, 61>();
+    test_integration_over_real_line<cpp_dec_float_50, 61>();
+    test_right_limit_infinite<cpp_dec_float_50, 61>();
+    test_left_limit_infinite<cpp_dec_float_50, 61>();
+#ifdef BOOST_HAS_FLOAT128
+    test_complex_lambert_w<boost::multiprecision::complex128>();
+#endif
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/gauss_quadrature_test.cpp b/src/boost/libs/math/test/gauss_quadrature_test.cpp
new file mode 100644
index 000000000..b8b7f3b72
--- /dev/null
+++ b/src/boost/libs/math/test/gauss_quadrature_test.cpp
@@ -0,0 +1,519 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE tanh_sinh_quadrature_test
+
+#include <complex>
+//#include <boost/multiprecision/mpc.hpp>
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/gauss.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::math::quadrature::gauss;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+using boost::multiprecision::cpp_bin_float_quad;
+
+//
+// Error rates depend only on the number of points in the approximation, not the type being tested,
+// define all our expected errors here:
+//
+
+enum
+{
+   test_ca_error_id,
+   test_ca_error_id_2,
+   test_three_quad_error_id,
+   test_three_quad_error_id_2,
+   test_integration_over_real_line_error_id,
+   test_right_limit_infinite_error_id,
+   test_left_limit_infinite_error_id
+};
+
+template <unsigned Points>
+double expected_error(unsigned)
+{
+   return 0; // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<7>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<9>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-7;
+   case test_ca_error_id_2:
+      return 2e-5;
+   case test_three_quad_error_id:
+      return 1e-8;
+   case test_three_quad_error_id_2:
+      return 3.5e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-5;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<10>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-12;
+   case test_ca_error_id_2:
+      return 3e-6;
+   case test_three_quad_error_id:
+      return 2e-13;
+   case test_three_quad_error_id_2:
+      return 2e-3;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-8;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<15>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 6e-20;
+   case test_ca_error_id_2:
+      return 3e-7;
+   case test_three_quad_error_id:
+      return 1e-19;
+   case test_three_quad_error_id_2:
+      return 6e-4;
+   case test_integration_over_real_line_error_id:
+      return 6e-3;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 5e-11;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<20>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 1e-26;
+   case test_ca_error_id_2:
+      return 1e-7;
+   case test_three_quad_error_id:
+      return 3e-27;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 5e-5;  // doesn't get any better with more points!
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 1e-15;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<25>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 5e-33;
+   case test_ca_error_id_2:
+      return 1e-8;
+   case test_three_quad_error_id:
+      return 1e-32;
+   case test_three_quad_error_id_2:
+      return 3e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-14;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-19;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+template <>
+double expected_error<30>(unsigned id)
+{
+   switch (id)
+   {
+   case test_ca_error_id:
+      return 2e-34;
+   case test_ca_error_id_2:
+      return 5e-9;
+   case test_three_quad_error_id:
+      return 4e-34;
+   case test_three_quad_error_id_2:
+      return 1e-4;
+   case test_integration_over_real_line_error_id:
+      return 1e-16;
+   case test_right_limit_infinite_error_id:
+   case test_left_limit_infinite_error_id:
+      return 3e-23;
+   }
+   return 0;  // placeholder, all tests will fail
+}
+
+
+template<class Real, unsigned Points>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by gauss on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    auto f = [](const Real& x)
+    {
+       return 5*x + 7;
+    };
+    Real L1;
+    Real Q = gauss<Real, Points>::integrate(f, (Real) 0, (Real) 1, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+    Q = gauss<Real, Points>::integrate(f, (Real) 0, (Real) 0, &L1);
+    BOOST_CHECK_CLOSE(Q, 0, tol);
+    Q = gauss<Real, Points>::integrate(f, (Real) 1, (Real) 0, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, -9.5, tol);
+}
+
+template<class Real, unsigned Points>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by Gaussian quadrature on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+
+    auto f = [](const Real& x) { return 5*x*x + 7*x + 12; };
+    Real L1;
+    Real Q = gauss<Real, Points>::integrate(f, 0, 1, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+}
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real, unsigned Points>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_ca_error_id);
+    Real L1;
+
+    auto f1 = [](const Real& x) { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = gauss<Real, Points>::integrate(f1, 0, 1, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = gauss<Real, Points>::integrate(f2, 0 , 1, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    tol = expected_error<Points>(test_ca_error_id_2);
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = gauss<Real, Points>::integrate(f5, 0 , 1);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_three_quad_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 1:
+    auto f1 = [](const Real& t) { return t*boost::math::log1p(t); };
+    Q = gauss<Real, Points>::integrate(f1, 0 , 1);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t) { return t*t*atan(t); };
+    Q = gauss<Real, Points>::integrate(f2, 0 , 1);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t) { return exp(t)*cos(t); };
+    Q = gauss<Real, Points>::integrate(f3, 0, half_pi<Real>());
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = gauss<Real, Points>::integrate(f4, 0 , 1);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    tol = expected_error<Points>(test_three_quad_error_id_2);
+    // Example 5:
+    auto f5 = [](const Real& t) { return sqrt(t)*log(t); };
+    Q = gauss<Real, Points>::integrate(f5, 0 , 1);
+    Q_expected = -4/ (Real) 9;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 6:
+    auto f6 = [](const Real& t) { return sqrt(1 - t*t); };
+    Q = gauss<Real, Points>::integrate(f6, 0 , 1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real, unsigned Points>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_integration_over_real_line_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), boost::math::tools::max_value<Real>(), &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+template<class Real, unsigned Points>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for Gaussian quadrature in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_right_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss<Real, Points>::integrate(f1, 0, boost::math::tools::max_value<Real>(), &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t) { return 1/(1+t*t); };
+    Q = gauss<Real, Points>::integrate(f4, 1, boost::math::tools::max_value<Real>(), &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Real, unsigned Points>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for Gaussian quadrature in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = expected_error<Points>(test_left_limit_infinite_error_id);
+    Real Q;
+    Real Q_expected;
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = gauss<Real, Points>::integrate(f1, -boost::math::tools::max_value<Real>(), Real(0));
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Complex>
+void test_complex_lambert_w()
+{
+    std::cout << "Testing that complex-valued integrands are integrated correctly by Gaussian quadrature on type " << boost::typeindex::type_id<Complex>().pretty_name() << "\n";
+    typedef typename Complex::value_type Real;
+    Real tol = 10e-9;
+    using boost::math::constants::pi;
+    Complex z{2, 3};
+    auto lw = [&z](Real v)->Complex {
+      using std::cos;
+      using std::sin;
+      using std::exp;
+      Real sinv = sin(v);
+      Real cosv = cos(v);
+
+      Real cotv = cosv/sinv;
+      Real cscv = 1/sinv;
+      Real t = (1-v*cotv)*(1-v*cotv) + v*v;
+      Real x = v*cscv*exp(-v*cotv);
+      Complex den = z + x;
+      Complex num = t*(z/pi<Real>());
+      Complex res = num/den;
+      return res;
+    };
+
+    //N[ProductLog[2+3*I], 150]
+    Complex Q = gauss<Real, 30>::integrate(lw, (Real) 0, pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q.real(), boost::lexical_cast<Real>("1.09007653448579084630177782678166964987102108635357778056449870727913321296238687023915522935120701763447787503167111962008709116746523970476893277703"), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q.imag(), boost::lexical_cast<Real>("0.530139720774838801426860213574121741928705631382703178297940568794784362495390544411799468140433404536019992695815009036975117285537382995180319280835"), tol);
+}
+
+BOOST_AUTO_TEST_CASE(gauss_quadrature_test)
+{
+  
+#ifdef TEST1
+    test_linear<double, 7>();
+    test_quadratic<double, 7>();
+    test_ca<double, 7>();
+    test_three_quadrature_schemes_examples<double, 7>();
+    test_integration_over_real_line<double, 7>();
+    test_right_limit_infinite<double, 7>();
+    test_left_limit_infinite<double, 7>();
+
+    test_linear<double, 9>();
+    test_quadratic<double, 9>();
+    test_ca<double, 9>();
+    test_three_quadrature_schemes_examples<double, 9>();
+    test_integration_over_real_line<double, 9>();
+    test_right_limit_infinite<double, 9>();
+    test_left_limit_infinite<double, 9>();
+
+    test_linear<cpp_bin_float_quad, 10>();
+    test_quadratic<cpp_bin_float_quad, 10>();
+    test_ca<cpp_bin_float_quad, 10>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 10>();
+    test_integration_over_real_line<cpp_bin_float_quad, 10>();
+    test_right_limit_infinite<cpp_bin_float_quad, 10>();
+    test_left_limit_infinite<cpp_bin_float_quad, 10>();
+#endif
+#ifdef TEST2
+    test_linear<cpp_bin_float_quad, 15>();
+    test_quadratic<cpp_bin_float_quad, 15>();
+    test_ca<cpp_bin_float_quad, 15>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 15>();
+    test_integration_over_real_line<cpp_bin_float_quad, 15>();
+    test_right_limit_infinite<cpp_bin_float_quad, 15>();
+    test_left_limit_infinite<cpp_bin_float_quad, 15>();
+
+    test_linear<cpp_bin_float_quad, 20>();
+    test_quadratic<cpp_bin_float_quad, 20>();
+    test_ca<cpp_bin_float_quad, 20>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 20>();
+    test_integration_over_real_line<cpp_bin_float_quad, 20>();
+    test_right_limit_infinite<cpp_bin_float_quad, 20>();
+    test_left_limit_infinite<cpp_bin_float_quad, 20>();
+
+    test_linear<cpp_bin_float_quad, 25>();
+    test_quadratic<cpp_bin_float_quad, 25>();
+    test_ca<cpp_bin_float_quad, 25>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 25>();
+    test_integration_over_real_line<cpp_bin_float_quad, 25>();
+    test_right_limit_infinite<cpp_bin_float_quad, 25>();
+    test_left_limit_infinite<cpp_bin_float_quad, 25>();
+
+    test_linear<cpp_bin_float_quad, 30>();
+    test_quadratic<cpp_bin_float_quad, 30>();
+    test_ca<cpp_bin_float_quad, 30>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad, 30>();
+    test_integration_over_real_line<cpp_bin_float_quad, 30>();
+    test_right_limit_infinite<cpp_bin_float_quad, 30>();
+    test_left_limit_infinite<cpp_bin_float_quad, 30>();
+
+
+#endif
+#ifdef TEST3
+    test_left_limit_infinite<cpp_bin_float_quad, 30>();
+    test_complex_lambert_w<std::complex<double>>();
+    test_complex_lambert_w<std::complex<long double>>();
+#ifdef BOOST_HAS_FLOAT128
+    test_left_limit_infinite<boost::multiprecision::float128, 30>();
+    test_complex_lambert_w<boost::multiprecision::complex128>();
+#endif
+    test_complex_lambert_w<boost::multiprecision::cpp_complex_quad>();
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/gegenbauer_test.cpp b/src/boost/libs/math/test/gegenbauer_test.cpp
new file mode 100644
index 000000000..7e1ae6b7d
--- /dev/null
+++ b/src/boost/libs/math/test/gegenbauer_test.cpp
@@ -0,0 +1,126 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <cmath>
+#include <boost/core/demangle.hpp>
+#include <boost/math/special_functions/gegenbauer.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using std::abs;
+using boost::math::gegenbauer;
+using boost::math::gegenbauer_derivative;
+
+template<class Real>
+void test_parity()
+{
+    std::mt19937 gen(323723);
+    std::uniform_real_distribution<Real> xdis(-1, +1);
+    std::uniform_real_distribution<Real> lambdadis(-0.5, 1);
+
+    for(unsigned n = 0; n < 50; ++n) {
+        unsigned calls = 50;
+        unsigned i = 0;
+        while(i++ < calls) {
+            Real x = xdis(gen);
+            Real lambda = lambdadis(gen);
+            if (n & 1) {
+                CHECK_ULP_CLOSE(gegenbauer(n, lambda, -x), -gegenbauer(n, lambda, x), 0);
+            }
+            else {
+                CHECK_ULP_CLOSE(gegenbauer(n, lambda, -x), gegenbauer(n, lambda, x), 0);
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_quadratic()
+{
+    Real lambda = 1/Real(4);
+    auto c2 = [&](Real x) { return -lambda + 2*lambda*(1+lambda)*x*x; };
+
+    Real x = -1;
+    Real h = 1/Real(256);
+    while (x < 1) {
+        Real expected = c2(x);
+        Real computed = gegenbauer(2, lambda, x);
+        CHECK_ULP_CLOSE(expected, computed, 0);
+        x += h;
+    }
+}
+
+template<class Real>
+void test_cubic()
+{
+    Real lambda = 1/Real(4);
+    auto c3 = [&](Real x) { return lambda*(1+lambda)*x*(-2 + 4*(2+lambda)*x*x/3); };
+
+    Real x = -1;
+    Real h = 1/Real(256);
+    while (x < 1) {
+        Real expected = c3(x);
+        Real computed = gegenbauer(3, lambda, x);
+        CHECK_ULP_CLOSE(expected, computed, 4);
+        x += h;
+    }
+}
+
+template<class Real>
+void test_derivative()
+{
+    Real lambda = 0.5;
+    auto c3_prime = [&](Real x) { return 2*lambda*(lambda+1)*(-1 + 2*(lambda+2)*x*x); };
+    auto c3_double_prime = [&](Real x) { return 8*lambda*(lambda+1)*(lambda+2)*x; };
+    Real x = -1;
+    Real h = 1/Real(256);
+    while (x < 1) {
+        Real expected = c3_prime(x);
+        Real computed = gegenbauer_derivative(3, lambda, x, 1);
+        CHECK_ULP_CLOSE(expected, computed, 1);
+
+        expected = c3_double_prime(x);
+        computed = gegenbauer_derivative(3, lambda, x, 2);
+        CHECK_ULP_CLOSE(expected, computed, 1);
+
+        x += h;
+    }
+
+}
+
+
+
+int main()
+{
+    test_parity<float>();
+    test_parity<double>();
+    test_parity<long double>();
+
+    test_quadratic<float>();
+    test_quadratic<double>();
+    test_quadratic<long double>();
+
+    test_cubic<double>();
+    test_cubic<long double>();
+
+    test_derivative<float>();
+    test_derivative<double>();
+    test_derivative<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_quadratic<boost::multiprecision::float128>();
+    test_cubic<boost::multiprecision::float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/handle_test_result.hpp b/src/boost/libs/math/test/handle_test_result.hpp
new file mode 100644
index 000000000..cb1432a58
--- /dev/null
+++ b/src/boost/libs/math/test/handle_test_result.hpp
@@ -0,0 +1,220 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_HANDLE_TEST_RESULT
+#define BOOST_MATH_HANDLE_TEST_RESULT
+
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <boost/regex.hpp>
+#include <boost/test/test_tools.hpp>
+#include <iostream>
+#include <iomanip>
+
+#if defined(BOOST_INTEL)
+#  pragma warning(disable:239)
+#  pragma warning(disable:264)
+#endif
+
+//
+// Every client of this header has to define this function,
+// and initialise the table of expected results:
+//
+void expected_results();
+
+typedef std::pair<boost::regex, std::pair<boost::uintmax_t, boost::uintmax_t> > expected_data_type;
+typedef std::list<expected_data_type> list_type;
+
+inline list_type& 
+   get_expected_data()
+{
+   static list_type data;
+   return data;
+}
+
+inline void add_expected_result(
+   const char* compiler,
+   const char* library,
+   const char* platform,
+   const char* type_name,
+   const char* test_name,
+   const char* group_name, 
+   boost::uintmax_t max_peek_error, 
+   boost::uintmax_t max_mean_error)
+{
+   std::string re("(?:");
+   re += compiler;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += library;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += platform;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += type_name;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += test_name;
+   re += ")";
+   re += "\\|";
+   re += "(?:";
+   re += group_name;
+   re += ")";
+   get_expected_data().push_back(
+      std::make_pair(boost::regex(re, boost::regex::perl | boost::regex::icase), 
+         std::make_pair(max_peek_error, max_mean_error)));
+}
+
+inline std::string build_test_name(const char* type_name, const char* test_name, const char* group_name)
+{
+   std::string result(BOOST_COMPILER);
+   result += "|";
+   result += BOOST_STDLIB;
+   result += "|";
+   result += BOOST_PLATFORM;
+   result += "|";
+   result += type_name;
+   result += "|";
+   result += group_name;
+   result += "|";
+   result += test_name;
+   return result;
+}
+
+inline const std::pair<boost::uintmax_t, boost::uintmax_t>&
+   get_max_errors(const char* type_name, const char* test_name, const char* group_name)
+{
+   static const std::pair<boost::uintmax_t, boost::uintmax_t> defaults(1, 1);
+   std::string name = build_test_name(type_name, test_name, group_name);
+   list_type& l = get_expected_data();
+   list_type::const_iterator a(l.begin()), b(l.end());
+   while(a != b)
+   {
+      if(regex_match(name, a->first))
+      {
+#if 0
+         std::cout << name << std::endl;
+         std::cout << a->first.str() << std::endl;
+#endif
+         return a->second;
+      }
+      ++a;
+   }
+   return defaults;
+}
+
+template <class T, class Seq>
+void handle_test_result(const boost::math::tools::test_result<T>& result,
+                       const Seq& worst, int row, 
+                       const char* type_name, 
+                       const char* test_name, 
+                       const char* group_name)
+{
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+   using namespace std; // To aid selection of the right pow.
+   T eps = boost::math::tools::epsilon<T>();
+   std::cout << std::setprecision(4);
+
+   T max_error_found = (result.max)()/eps;
+   T mean_error_found = result.rms()/eps;
+   //
+   // Begin by printing the main tag line with the results:
+   //
+   std::cout << test_name << "<" << type_name << "> Max = " << max_error_found
+      << " RMS Mean=" << mean_error_found;
+   //
+   // If the max error is non-zero, give the row of the table that
+   // produced the worst error:
+   //
+   if((result.max)() != 0)
+   {
+      std::cout << "\n    worst case at row: "
+         << row << "\n    { ";
+      if(std::numeric_limits<T>::digits10)
+      {
+         std::cout << std::setprecision(std::numeric_limits<T>::digits10 + 2);
+      }
+      else
+      {
+         std::cout << std::setprecision(std::numeric_limits<long double>::digits10 + 2);
+      }
+      for(unsigned i = 0; i < worst.size(); ++i)
+      {
+         if(i)
+            std::cout << ", ";
+#if defined(__SGI_STL_PORT)
+         std::cout << boost::math::tools::real_cast<double>(worst[i]);
+#else
+         std::cout << worst[i];
+#endif
+      }
+      std::cout << " }";
+   }
+   std::cout << std::endl;
+   //
+   // Now verify that the results are within our expected bounds:
+   //
+   std::pair<boost::uintmax_t, boost::uintmax_t> const& bounds = get_max_errors(type_name, test_name, group_name);
+   if(bounds.first < max_error_found)
+   {
+      std::cerr << "Peak error greater than expected value of " << bounds.first << std::endl;
+      BOOST_CHECK(bounds.first >= max_error_found);
+   }
+   if(bounds.second < mean_error_found)
+   {
+      std::cerr << "Mean error greater than expected value of " << bounds.second << std::endl;
+      BOOST_CHECK(bounds.second >= mean_error_found);
+   }
+   std::cout << std::endl;
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+}
+
+template <class T, class Seq>
+void print_test_result(const boost::math::tools::test_result<T>& result,
+                       const Seq& worst, int row, const char* name, const char* test)
+{
+   using namespace std; // To aid selection of the right pow.
+   T eps = boost::math::tools::epsilon<T>();
+   std::cout << std::setprecision(4);
+
+   T max_error_found = (result.max)()/eps;
+   T mean_error_found = result.rms()/eps;
+   //
+   // Begin by printing the main tag line with the results:
+   //
+   std::cout << test << "(" << name << ") Max = " << max_error_found
+      << " RMS Mean=" << mean_error_found;
+   //
+   // If the max error is non-zero, give the row of the table that
+   // produced the worst error:
+   //
+   if((result.max)() != 0)
+   {
+      std::cout << "\n    worst case at row: "
+         << row << "\n    { ";
+      for(unsigned i = 0; i < worst.size(); ++i)
+      {
+         if(i)
+            std::cout << ", ";
+         std::cout << worst[i];
+      }
+      std::cout << " }";
+   }
+   std::cout << std::endl;
+}
+
+#endif // BOOST_MATH_HANDLE_TEST_RESULT
+
diff --git a/src/boost/libs/math/test/hermite.ipp b/src/boost/libs/math/test/hermite.ipp
new file mode 100644
index 000000000..75f04940c
--- /dev/null
+++ b/src/boost/libs/math/test/hermite.ipp
@@ -0,0 +1,428 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 420> hermite = {{
+      {{ SC_(0.8e1), SC_(-0.804919189453125e3), SC_(0.45107507538695517471998224862706929168983312035236e26) }}, 
+      {{ SC_(0.8e1), SC_(-0.7460263671875e3), SC_(0.24561928260207418635049717146784087504133748838575e26) }}, 
+      {{ SC_(0.8e1), SC_(-0.72904595947265625e3), SC_(0.20429972623973894937590136235800300689033201111301e26) }}, 
+      {{ SC_(0.8e1), SC_(-0.623236083984375e3), SC_(0.5827000192786290015079053630015377969828881322477e25) }}, 
+      {{ SC_(0.8e1), SC_(-0.557931884765625e3), SC_(0.24036425469465274704663172230600209480309473246511e25) }}, 
+      {{ SC_(0.8e1), SC_(-0.4430035400390625e3), SC_(0.3797226972301982762616920977628718931846209669113e24) }}, 
+      {{ SC_(0.8e1), SC_(-0.383665924072265625e3), SC_(0.12017786536547968144293561686294350272042177165962e24) }}, 
+      {{ SC_(0.8e1), SC_(0.9376299285888671875e2), SC_(0.15268620781186000127986962828387837477310566397968e19) }}, 
+      {{ SC_(0.8e1), SC_(0.944411773681640625e2), SC_(0.1617518154852919675909314869798309833011143307635e19) }}, 
+      {{ SC_(0.8e1), SC_(0.264718536376953125e3), SC_(0.61720298828736019075790614156102805167876087211952e22) }}, 
+      {{ SC_(0.8e1), SC_(0.62944732666015625e3), SC_(0.63081173846769146140441083274224793875281883735246e25) }}, 
+      {{ SC_(0.8e1), SC_(0.67001715087890625e3), SC_(0.10397137311210792549517430287956468909599308482363e26) }}, 
+      {{ SC_(0.8e1), SC_(0.8115838623046875e3), SC_(0.48183457131767562763518406277181444679084105960509e26) }}, 
+      {{ SC_(0.8e1), SC_(0.826751708984375e3), SC_(0.55876845531601243780899074396489049059605490708721e26) }}, 
+      {{ SC_(0.8e1), SC_(0.915013671875e3), SC_(0.12579210047506473419699887821873790018411396965251e27) }}, 
+      {{ SC_(0.8e1), SC_(0.92977703857421875e3), SC_(0.14297610657915447015410284337196030534976367717228e27) }}, 
+      {{ SC_(0.8e1), SC_(0.935389892578125e3), SC_(0.15002871812830612180035463350811490994647498745898e27) }}, 
+      {{ SC_(0.8e1), SC_(0.93773553466796875e3), SC_(0.15306505051932713956696576348429859356902240309652e27) }}, 
+      {{ SC_(0.8e1), SC_(0.9857625732421875e3), SC_(0.2282508005179494438672517847212865156472291867269e27) }}, 
+      {{ SC_(0.8e1), SC_(0.99292266845703125e3), SC_(0.24185618845978155462978780829055436870571431239936e27) }}, 
+      {{ SC_(0.9e1), SC_(-0.804919189453125e3), SC_(-0.72615348491801522758107817154280636761854800448258e29) }}, 
+      {{ SC_(0.9e1), SC_(-0.7460263671875e3), SC_(-0.36647428831123627780613206119656435975372881269689e29) }}, 
+      {{ SC_(0.9e1), SC_(-0.72904595947265625e3), SC_(-0.29788553802717105399309090578189082490491064795881e29) }}, 
+      {{ SC_(0.9e1), SC_(-0.623236083984375e3), SC_(-0.72631187656840434630386580888842027480654740183583e28) }}, 
+      {{ SC_(0.9e1), SC_(-0.557931884765625e3), SC_(-0.26821031676217242168707855784900940170157970241264e28) }}, 
+      {{ SC_(0.9e1), SC_(-0.4430035400390625e3), SC_(-0.33643014085005895416146465835311020646005187659932e27) }}, 
+      {{ SC_(0.9e1), SC_(-0.383665924072265625e3), SC_(-0.92213797591750116970480652180852706466705815198925e26) }}, 
+      {{ SC_(0.9e1), SC_(0.9376299285888671875e2), SC_(0.28619599017630076419048218930351610672808471971911e21) }}, 
+      {{ SC_(0.9e1), SC_(0.944411773681640625e2), SC_(0.30538356606793385774776392717760624059016600770529e21) }}, 
+      {{ SC_(0.9e1), SC_(0.264718536376953125e3), SC_(0.32675149012792009950839328597362709432321349932704e25) }}, 
+      {{ SC_(0.9e1), SC_(0.62944732666015625e3), SC_(0.79411750739676620994218584143838991056650844543993e28) }}, 
+      {{ SC_(0.9e1), SC_(0.67001715087890625e3), SC_(0.13932396494395279118751516299633800114577839547729e29) }}, 
+      {{ SC_(0.9e1), SC_(0.8115838623046875e3), SC_(0.78209357516588915667750630886227046953282003885816e29) }}, 
+      {{ SC_(0.9e1), SC_(0.826751708984375e3), SC_(0.9239201438100206122484942895031603534508035207534e29) }}, 
+      {{ SC_(0.9e1), SC_(0.915013671875e3), SC_(0.23020188368730794526744784417674030233447879296414e30) }}, 
+      {{ SC_(0.9e1), SC_(0.92977703857421875e3), SC_(0.26587057172217180147109231631091242505401497841279e30) }}, 
+      {{ SC_(0.9e1), SC_(0.935389892578125e3), SC_(0.28066940992909396296554569662089642014388342016689e30) }}, 
+      {{ SC_(0.9e1), SC_(0.93773553466796875e3), SC_(0.2870677681432185184539265574407337379961356759468e30) }}, 
+      {{ SC_(0.9e1), SC_(0.9857625732421875e3), SC_(0.4500003405401322163412586784924678900107709701962e30) }}, 
+      {{ SC_(0.9e1), SC_(0.99292266845703125e3), SC_(0.48028703540906417924253986480733367446328052415498e30) }}, 
+      {{ SC_(0.1e2), SC_(-0.804919189453125e3), SC_(0.11689816296461847274622300874825539661285328959095e33) }}, 
+      {{ SC_(0.1e2), SC_(-0.7460263671875e3), SC_(0.54679454280582535200198215910160226619047153251183e32) }}, 
+      {{ SC_(0.1e2), SC_(-0.72904595947265625e3), SC_(0.43434081837302238559608884831319578537002297874261e32) }}, 
+      {{ SC_(0.1e2), SC_(-0.623236083984375e3), SC_(0.90531705080732310437321262346769305582516409498699e31) }}, 
+      {{ SC_(0.1e2), SC_(-0.557931884765625e3), SC_(0.29928184853282382212205807781073913971873952893684e31) }}, 
+      {{ SC_(0.1e2), SC_(-0.4430035400390625e3), SC_(0.29807265173628291298939129580674147768362711153657e30) }}, 
+      {{ SC_(0.1e2), SC_(-0.383665924072265625e3), SC_(0.70756420528926763608091741538465186246363823788564e29) }}, 
+      {{ SC_(0.1e2), SC_(0.9376299285888671875e2), SC_(0.53641701648878869328402154187886529569000541972093e23) }}, 
+      {{ SC_(0.1e2), SC_(0.944411773681640625e2), SC_(0.57652451729901027022147781233362208672090049328676e23) }}, 
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+      {{ SC_(0.63e2), SC_(-0.4430035400390625e3), SC_(-0.48571536473640903389946459864193429311269021644027e186) }}, 
+      {{ SC_(0.63e2), SC_(-0.383665924072265625e3), SC_(-0.56371743060385144846172065591557429748970112940914e182) }}, 
+      {{ SC_(0.63e2), SC_(0.9376299285888671875e2), SC_(0.14271302095518395281543621141977089654954772619788e144) }}, 
+      {{ SC_(0.63e2), SC_(0.944411773681640625e2), SC_(0.22508389703746523206446686216061289081224009447363e144) }}, 
+      {{ SC_(0.63e2), SC_(0.264718536376953125e3), SC_(0.39287053618749596805247838834868920108072746443261e172) }}, 
+      {{ SC_(0.63e2), SC_(0.62944732666015625e3), SC_(0.19872890857509752124510053434485063729806672066544e196) }}, 
+      {{ SC_(0.63e2), SC_(0.67001715087890625e3), SC_(0.10170865885145417099920546695659459436546383064557e198) }}, 
+      {{ SC_(0.63e2), SC_(0.8115838623046875e3), SC_(0.17875171562625846347044457253137830450493155571305e203) }}, 
+      {{ SC_(0.63e2), SC_(0.826751708984375e3), SC_(0.57398511841594632428896306873234439485078800626987e203) }}, 
+      {{ SC_(0.63e2), SC_(0.915013671875e3), SC_(0.34223224444163024879350378835610921837107268568578e206) }}, 
+      {{ SC_(0.63e2), SC_(0.92977703857421875e3), SC_(0.93813340474969400259457231849952645213403537063766e206) }}, 
+      {{ SC_(0.63e2), SC_(0.935389892578125e3), SC_(0.13707031097909198997249615373069943591630589477967e207) }}, 
+      {{ SC_(0.63e2), SC_(0.93773553466796875e3), SC_(0.16049849565534916612881402821512234443315362144539e207) }}, 
+      {{ SC_(0.63e2), SC_(0.9857625732421875e3), SC_(0.37334450988860541714846867055901320093308859706429e208) }}, 
+      {{ SC_(0.63e2), SC_(0.99292266845703125e3), SC_(0.58902181682496407079087992188679937502927943188616e208) }}, 
+      {{ SC_(0.64e2), SC_(-0.804919189453125e3), SC_(0.17115516418393134930956957812660695576555555762758e206) }}, 
+      {{ SC_(0.64e2), SC_(-0.7460263671875e3), SC_(0.13225145321763463912506947704427473546594227919316e204) }}, 
+      {{ SC_(0.64e2), SC_(-0.72904595947265625e3), SC_(0.30297731266319142519300755555505275478042104969272e203) }}, 
+      {{ SC_(0.64e2), SC_(-0.623236083984375e3), SC_(0.13260452858231441701364025090498088686052853448746e199) }}, 
+      {{ SC_(0.64e2), SC_(-0.557931884765625e3), SC_(0.11109867155607531886714022377600211420414450985886e196) }}, 
+      {{ SC_(0.64e2), SC_(-0.4430035400390625e3), SC_(0.43027816705124422567335810872343924647776816168804e189) }}, 
+      {{ SC_(0.64e2), SC_(-0.383665924072265625e3), SC_(0.43246575293235977119550453324173254248977085615388e185) }}, 
+      {{ SC_(0.64e2), SC_(0.9376299285888671875e2), SC_(0.26666169562221769162394467872454407158823797408949e146) }}, 
+      {{ SC_(0.64e2), SC_(0.944411773681640625e2), SC_(0.42363701592310910625385021135765655947792198743379e146) }}, 
+      {{ SC_(0.64e2), SC_(0.264718536376953125e3), SC_(0.20790668653430943824657625408670573026507147506956e175) }}, 
+      {{ SC_(0.64e2), SC_(0.62944732666015625e3), SC_(0.25015886856901675365191238194104964033185766836862e199) }}, 
+      {{ SC_(0.64e2), SC_(0.67001715087890625e3), SC_(0.13628352758104430128024379960258832981315670559497e201) }}, 
+      {{ SC_(0.64e2), SC_(0.8115838623046875e3), SC_(0.29013013909125825894222647618781410860190657751511e206) }}, 
+      {{ SC_(0.64e2), SC_(0.826751708984375e3), SC_(0.94904261445892845427164871048618979106779458453012e206) }}, 
+      {{ SC_(0.64e2), SC_(0.915013671875e3), SC_(0.62627080118909857764651282371070544817106870626377e209) }}, 
+      {{ SC_(0.64e2), SC_(0.92977703857421875e3), SC_(0.17444462292196609464011437538057068543663586540673e210) }}, 
+      {{ SC_(0.64e2), SC_(0.935389892578125e3), SC_(0.2564191346937588459943377158334215703301569930735e210) }}, 
+      {{ SC_(0.64e2), SC_(0.93773553466796875e3), SC_(0.30099950210351799644573209378329679609266360231058e210) }}, 
+      {{ SC_(0.64e2), SC_(0.9857625732421875e3), SC_(0.7360342283709939198893572318455103257992843130489e211) }}, 
+      {{ SC_(0.64e2), SC_(0.99292266845703125e3), SC_(0.11696688542326119628103847394518779891392342956315e212) }}, 
+      {{ SC_(0.67e2), SC_(-0.804919189453125e3), SC_(-0.71395604865066606122013699661891426203463873068701e215) }}, 
+      {{ SC_(0.67e2), SC_(-0.7460263671875e3), SC_(-0.439214716391687364187564024021732580606512402522e213) }}, 
+      {{ SC_(0.67e2), SC_(-0.72904595947265625e3), SC_(-0.93904227402788407947934394389327512970670916128791e212) }}, 
+      {{ SC_(0.67e2), SC_(-0.623236083984375e3), SC_(-0.25674209768421442693190102856604340847503916248831e208) }}, 
+      {{ SC_(0.67e2), SC_(-0.557931884765625e3), SC_(-0.15431436217922364421260050431856648098623138071202e205) }}, 
+      {{ SC_(0.67e2), SC_(-0.4430035400390625e3), SC_(-0.29911973822576646623652589847208017875520526334749e198) }}, 
+      {{ SC_(0.67e2), SC_(-0.383665924072265625e3), SC_(-0.19526015822885353474843208279944006332888244454282e194) }}, 
+      {{ SC_(0.67e2), SC_(0.9376299285888671875e2), SC_(0.17390093432109562491103911511920483031011929481849e153) }}, 
+      {{ SC_(0.67e2), SC_(0.944411773681640625e2), SC_(0.28235446461762290115209086851319733390024540548019e153) }}, 
+      {{ SC_(0.67e2), SC_(0.264718536376953125e3), SC_(0.30811073596496146740945598370500903220318751173999e183) }}, 
+      {{ SC_(0.67e2), SC_(0.62944732666015625e3), SC_(0.498973159123135317026153053869666153823987778347e208) }}, 
+      {{ SC_(0.67e2), SC_(0.67001715087890625e3), SC_(0.3278662999965262740459597303725252570646839606698e210) }}, 
+      {{ SC_(0.67e2), SC_(0.8115838623046875e3), SC_(0.12405627888491721174744514866737147152869324775397e216) }}, 
+      {{ SC_(0.67e2), SC_(0.826751708984375e3), SC_(0.42898198132773354897094247581039524281956225063702e216) }}, 
+      {{ SC_(0.67e2), SC_(0.915013671875e3), SC_(0.3837817535891570776096316064925826289234604649913e219) }}, 
+      {{ SC_(0.67e2), SC_(0.92977703857421875e3), SC_(0.11215923554489890999502780719902857630724401847727e220) }}, 
+      {{ SC_(0.67e2), SC_(0.935389892578125e3), SC_(0.16786882000412698244055579620069098918136636351948e220) }}, 
+      {{ SC_(0.67e2), SC_(0.93773553466796875e3), SC_(0.19854032506834645795880992848204146407286886570974e220) }}, 
+      {{ SC_(0.67e2), SC_(0.9857625732421875e3), SC_(0.56397700344853850069466092015119332034498084181404e221) }}, 
+      {{ SC_(0.67e2), SC_(0.99292266845703125e3), SC_(0.91591725002034144260314292567223030779705284774582e221) }}, 
+      {{ SC_(0.68e2), SC_(-0.804919189453125e3), SC_(0.11492944165481977844160639042749889711435705439192e219) }}, 
+      {{ SC_(0.68e2), SC_(-0.7460263671875e3), SC_(0.65529207072689878516628373246771524546998394796728e216) }}, 
+      {{ SC_(0.68e2), SC_(-0.72904595947265625e3), SC_(0.13691236470932295418206009271231802321826433996401e216) }}, 
+      {{ SC_(0.68e2), SC_(-0.623236083984375e3), SC_(0.31999427611473638064153349246682256767532212572302e211) }}, 
+      {{ SC_(0.68e2), SC_(-0.557931884765625e3), SC_(0.1721752728616940687565723581862597609692534907115e208) }}, 
+      {{ SC_(0.68e2), SC_(-0.4430035400390625e3), SC_(0.26497695928277797274126269348797127034206387419765e201) }}, 
+      {{ SC_(0.68e2), SC_(-0.383665924072265625e3), SC_(0.14979523193992880308778135191580896285724901609253e197) }}, 
+      {{ SC_(0.68e2), SC_(0.9376299285888671875e2), SC_(0.32486210198364986836850518198819815917013154840805e155) }}, 
+      {{ SC_(0.68e2), SC_(0.944411773681640625e2), SC_(0.53130717007794880022412938335190211916976004706358e155) }}, 
+      {{ SC_(0.68e2), SC_(0.264718536376953125e3), SC_(0.16304722685276499354792918086631605049027512979648e186) }}, 
+      {{ SC_(0.68e2), SC_(0.62944732666015625e3), SC_(0.62810152575355789173710546297818953525375445861782e211) }}, 
+      {{ SC_(0.68e2), SC_(0.67001715087890625e3), SC_(0.43931930018461310588579182708322391145380014657504e213) }}, 
+      {{ SC_(0.68e2), SC_(0.8115838623046875e3), SC_(0.20135390598861294342717207643575046227436307960836e219) }}, 
+      {{ SC_(0.68e2), SC_(0.826751708984375e3), SC_(0.70928840597252373257415593809153908579367912600248e219) }}, 
+      {{ SC_(0.68e2), SC_(0.915013671875e3), SC_(0.70230300036076744196859829023426726976063282233909e222) }}, 
+      {{ SC_(0.68e2), SC_(0.92977703857421875e3), SC_(0.2085580812121490632054276902743441722437005132514e223) }}, 
+      {{ SC_(0.68e2), SC_(0.935389892578125e3), SC_(0.31403357047962017949167805427442757459524063192189e223) }}, 
+      {{ SC_(0.68e2), SC_(0.93773553466796875e3), SC_(0.37234244977852621303836114362570239474544522838737e223) }}, 
+      {{ SC_(0.68e2), SC_(0.9857625732421875e3), SC_(0.11118565108245626237683701654760798812770117180759e225) }}, 
+      {{ SC_(0.68e2), SC_(0.99292266845703125e3), SC_(0.18188081940210288468029442085277750466942046125126e225) }}, 
+      {{ SC_(0.69e2), SC_(-0.804919189453125e3), SC_(-0.1850081162399338654500028296297913252183226453783e222) }}, 
+      {{ SC_(0.69e2), SC_(-0.7460263671875e3), SC_(-0.97767059274089595678968982337826854278140139586519e219) }}, 
+      {{ SC_(0.69e2), SC_(-0.72904595947265625e3), SC_(-0.19961804161143040928554705782175334155063670416805e219) }}, 
+      {{ SC_(0.69e2), SC_(-0.623236083984375e3), SC_(-0.39882904216104119883607723276479909045844467958239e214) }}, 
+      {{ SC_(0.69e2), SC_(-0.557931884765625e3), SC_(-0.19210316224226509857981603548527956113322666380888e211) }}, 
+      {{ SC_(0.69e2), SC_(-0.4430035400390625e3), SC_(-0.23473078169771562662136461616843138538409966193101e204) }}, 
+      {{ SC_(0.69e2), SC_(-0.383665924072265625e3), SC_(-0.11491609678618516149736741904351620655468528386497e200) }}, 
+      {{ SC_(0.69e2), SC_(0.9376299285888671875e2), SC_(0.60683580626155093065325198848663480816576016092558e157) }}, 
+      {{ SC_(0.69e2), SC_(0.944411773681640625e2), SC_(0.99970547300737778074794585861930502873180772144862e157) }}, 
+      {{ SC_(0.69e2), SC_(0.264718536376953125e3), SC_(0.86281343445478761898014189584430395982291880632205e188) }}, 
+      {{ SC_(0.69e2), SC_(0.62944732666015625e3), SC_(0.79064579216384384919861590442204758056478775930199e214) }}, 
+      {{ SC_(0.69e2), SC_(0.67001715087890625e3), SC_(0.58865834185481932389898790561772677853802379658932e216) }}, 
+      {{ SC_(0.69e2), SC_(0.8115838623046875e3), SC_(0.32681428977081852902063701892528533163973331914428e222) }}, 
+      {{ SC_(0.69e2), SC_(0.826751708984375e3), SC_(0.11727524620517137714481833672797036884220596207432e223) }}, 
+      {{ SC_(0.69e2), SC_(0.915013671875e3), SC_(0.1285181499939382408174721290089724705670081991561e226) }}, 
+      {{ SC_(0.69e2), SC_(0.92977703857421875e3), SC_(0.38780977658427262634355280276612655888568370486454e226) }}, 
+      {{ SC_(0.69e2), SC_(0.935389892578125e3), SC_(0.58746482535419337038893161712202335100520637411516e226) }}, 
+      {{ SC_(0.69e2), SC_(0.93773553466796875e3), SC_(0.69829049096108586661576816358605949519674563343367e226) }}, 
+      {{ SC_(0.69e2), SC_(0.9857625732421875e3), SC_(0.21919763695005329034056321076749362840532324690225e228) }}, 
+      {{ SC_(0.69e2), SC_(0.99292266845703125e3), SC_(0.36117472060917448197562379204160182702204274274195e228) }}
+   }};
+
diff --git a/src/boost/libs/math/test/heuman_lambda_data.ipp b/src/boost/libs/math/test/heuman_lambda_data.ipp
new file mode 100644
index 000000000..ca4e60e09
--- /dev/null
+++ b/src/boost/libs/math/test/heuman_lambda_data.ipp
@@ -0,0 +1,1088 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 1076> heuman_lambda_data = {{
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.2818678750410757913794876393180852564234e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.2818678686920981395211620493819441783972e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.2818678262147483408885272014604717950142e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.2818676273441119272757356679409827579912e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.2818675447220667527889979356907035957101e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.2818655648818352593674411860402038446249e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.2818507987757229791055027194834001281403e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-1.2818385366872922291755065634301775464772e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-1.2815702152773898445634354314743836776450e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.2809758423903909514038762578364688862940e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-1.2784224180229554914713033823346029800626e+01) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.2726524319280258411531927893277706975739e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.1725545183347730963643632803055191857441e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.1725545204632125473212641684977724911088e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.1725545347033906108186204087779810914740e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.1725546013735001094038616590776247649051e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.1725546290721983670733641977420160184252e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.1725552928380532291558721280705499925653e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.1725602453324205931917369957095612608367e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-1.1725643606357686857680510944343906534434e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-1.1726550123018380781158670535111725714355e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.1728598753101845121239173547254956943523e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-1.1738016878377463689258133408244604487494e+01) }}, 
+      {{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.1762676372364995122369534103573686552922e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-1.0380581818880663586226249510719943739212e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-1.0380581789365956800186528563538346882658e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.0380581591899847111594919667164779565114e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-1.0380580667397099711034905923285101751054e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-1.0380580283304211750498167868230926253641e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.0380571079002367574282194148299012609182e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.0380502405037287237075379560968826502010e+01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-1.0380445341672333231413996191138274610627e+01) }}, 
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+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.1906348112748555077782924540453417186124e+01) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.1909611017444873246999023619412659571293e+01) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.1918223025895177583025008594495692873669e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.1974154538781236674578004106725983093760e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.1974154540785592102201758504190137459256e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.1974154554195595170127202530355835319148e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.1974154616978980453158974666980425066356e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.1974154643062911329013637006045049199419e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.1974155268134088188913850140746389309934e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.1974159931996554273628973628347774674744e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.1974163807562999996761411828248122659602e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.1974249202082775850908192886429428450216e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.1974442351055607382019054413198208879590e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.1975333213546421266285140740833697348871e+01) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.1977686753555748069425218606682657972967e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2384650184844668628199906444330895023961e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2384650155014453814040101279712900002943e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2384649955437459937116444959202694282535e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2384649021051923482099707739480082703416e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2384648632853148624915035764814947712296e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2384639330159902533207498464536297030480e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2384569922150093722469831229426930144283e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2384512248925580598337285435249893817587e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2383242229410175264006671845579463143249e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2380374935582109218860836700077338254592e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2367241491752546630991260864362645324306e+01) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2333189870611544054532127613133079829834e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2761544017543338121503905725452833472475e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2761543958484439244725768050241464020341e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2761543563355235918871920764465278221687e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2761541713434101644768391701312195895228e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2761540944871116103158240852982330242039e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2761522527790071224337553547594725311629e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2761385150643825801860642506375723551021e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2761271045243729014493602601631136887758e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2758768668584857271933341972164117030836e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2753189331023531831253705523258288612240e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2728722459777125739106447444886522947863e+01) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2671269581485092000197011722839561311439e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.2846244064311653813320725358046862937430e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.3421024717390537261962890625000000000000e-04), SC_(1.2846243998684151646665365089814021495030e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.2846243559608491957923530826832797958635e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.5115787759423255920410156250000000000000e-03), SC_(1.2846241503945177532277915015517391431480e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.0457472205162048339843750000000000000000e-03), SC_(1.2846240649908483151130284385718120341657e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.0635107755661010742187500000000000000000e-02), SC_(1.2846220185208979428257313895157755096596e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.8892643749713897705078125000000000000000e-02), SC_(1.2846067570035466600746368160228287130478e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(3.7872627377510070800781250000000000000000e-02), SC_(1.2845940855598831612881687549208528129993e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.2087455391883850097656250000000000000000e-01), SC_(1.2843172619561956674050373200317977103446e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.2837069841192149963858043614818354578765e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.1968369483947753906250000000000000000000e-01), SC_(1.2811225848626158110286641796510837599690e+01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.9936919212341308593750000000000000000000e-01), SC_(1.2754235235945252672131774219770120143321e+01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_0F2.ipp b/src/boost/libs/math/test/hypergeometric_0F2.ipp
new file mode 100644
index 000000000..33e327b6a
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_0F2.ipp
@@ -0,0 +1,269 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 255> hypergeometric_0F2 = {{
+      { SC_(-4.8646093750000000000000000000000000000000e+02), SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(1.0013550123274012503281643629835481621491e+00) }, 
+      { SC_(-4.6555395507812500000000000000000000000000e+02), SC_(1.6360552978515625000000000000000000000000e+02), SC_(-6.1255645751953125000000000000000000000000e+01), SC_(1.0008045482288008613878905914537628888437e+00) }, 
+      { SC_(-4.6428833007812500000000000000000000000000e+02), SC_(-1.3870599365234375000000000000000000000000e+02), SC_(3.4912927246093750000000000000000000000000e+02), SC_(1.0054361590960244514317052562813343972063e+00) }, 
+      { SC_(-4.6355883789062500000000000000000000000000e+02), SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(9.9937142193458336300712662386851304924744e-01) }, 
+      { SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(-4.0286828613281250000000000000000000000000e+02), SC_(9.9747330394796032410538209647331764537338e-01) }, 
+      { SC_(-3.8753552246093750000000000000000000000000e+02), SC_(4.1573547363281250000000000000000000000000e+02), SC_(1.3976336669921875000000000000000000000000e+02), SC_(9.9913288567800670560465376832731165310591e-01) }, 
+      { SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(9.9990234705498153808404610903859529590335e-01) }, 
+      { SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(9.9348140693863510115749506422371573420155e-01) }, 
+      { SC_(-3.5811364746093750000000000000000000000000e+02), SC_(-4.9521655273437500000000000000000000000000e+02), SC_(-7.8238739013671875000000000000000000000000e+01), SC_(9.9955892792802478635575395801641016109872e-01) }, 
+      { SC_(-3.2613488769531250000000000000000000000000e+02), SC_(-3.2881335449218750000000000000000000000000e+02), SC_(-1.9808691406250000000000000000000000000000e+02), SC_(9.9815453602218599515426271662441282707593e-01) }, 
+      { SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(9.9855044188853804894946990947110500188253e-01) }, 
+      { SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(3.4071728515625000000000000000000000000000e+02), SC_(9.9547392211818475702670044866243182131780e-01) }, 
+      { SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(1.0006794383636374608834847128496473193998e+00) }, 
+      { SC_(-1.9183294677734375000000000000000000000000e+02), SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(1.0006118143959052029406077900452398537572e+00) }, 
+      { SC_(-1.8344958496093750000000000000000000000000e+02), SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(1.0091425903971098776250072125842027790700e+00) }, 
+      { SC_(-1.5961425781250000000000000000000000000000e+02), SC_(3.7675744628906250000000000000000000000000e+02), SC_(8.5267700195312500000000000000000000000000e+01), SC_(9.9858309073053077899790756504828564947261e-01) }, 
+      { SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(-3.0340478515625000000000000000000000000000e+02), SC_(1.0049771857160769715415635506383574939497e+00) }, 
+      { SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-7.7912322998046875000000000000000000000000e+01), SC_(1.5547790527343750000000000000000000000000e+02), SC_(1.0186926506384631817121334358716076224150e+00) }, 
+      { SC_(-7.6834899902343750000000000000000000000000e+01), SC_(4.5929138183593750000000000000000000000000e+02), SC_(8.0956726074218750000000000000000000000000e+01), SC_(9.9770859113172567045095290396207748713121e-01) }, 
+      { SC_(-1.9458435058593750000000000000000000000000e+01), SC_(1.7170547485351562500000000000000000000000e+01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(1.1843708637562542794889169551315847867164e+00) }, 
+      { SC_(-1.8622161865234375000000000000000000000000e+01), SC_(6.5442199707031250000000000000000000000000e+00), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(1.1052961337782846547617500779699305041287e+00) }, 
+      { SC_(-1.8571533203125000000000000000000000000000e+01), SC_(-5.5482406616210937500000000000000000000000e+00), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.1709699265294645468109432587150419519616e+00) }, 
+      { SC_(-1.8542350769042968750000000000000000000000e+01), SC_(-1.2525096893310546875000000000000000000000e+01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(9.2483070051031126644961165795654718381906e-01) }, 
+      { SC_(-1.8153144836425781250000000000000000000000e+01), SC_(-1.4035442352294921875000000000000000000000e+01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(7.3371925642946384664229703773889948055531e-01) }, 
+      { SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.6629417419433593750000000000000000000000e+01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(8.9727834112725954814592158721591001531270e-01) }, 
+      { SC_(-1.5240093231201171875000000000000000000000e+01), SC_(-1.7586879730224609375000000000000000000000e+00), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(9.8798390454175472844979515494836456136983e-01) }, 
+      { SC_(-1.4964134216308593750000000000000000000000e+01), SC_(-4.7376632690429687500000000000000000000000e+00), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(-1.6307154809189961783800358984496085912050e+00) }, 
+      { SC_(-1.4324546813964843750000000000000000000000e+01), SC_(-1.9808662414550781250000000000000000000000e+01), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(9.4653528197910165241384386830302720544485e-01) }, 
+      { SC_(-1.3045394897460937500000000000000000000000e+01), SC_(-1.3152534484863281250000000000000000000000e+01), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(7.9729506879938767419504797215381191262438e-01) }, 
+      { SC_(-1.2431091308593750000000000000000000000000e+01), SC_(1.4631298828125000000000000000000000000000e+02), SC_(2.9397497558593750000000000000000000000000e+02), SC_(8.5163048830387097953496533791624327293711e-01) }, 
+      { SC_(-1.1523029327392578125000000000000000000000e+01), SC_(1.7359725952148437500000000000000000000000e+01), SC_(3.6271911621093750000000000000000000000000e+01), SC_(8.3463455244679145149454273225637625080044e-01) }, 
+      { SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-5.4413787841796875000000000000000000000000e+01), SC_(8.8207047103340533881092961234370287124678e-01) }, 
+      { SC_(-9.6996726989746093750000000000000000000000e+00), SC_(1.2389381408691406250000000000000000000000e+01), SC_(6.8143432617187500000000000000000000000000e+01), SC_(5.6971226882974825102327326343955088655941e-01) }, 
+      { SC_(-8.8600730895996093750000000000000000000000e+00), SC_(-1.2464721679687500000000000000000000000000e+01), SC_(9.3762969970703125000000000000000000000000e+00), SC_(1.0895185083879982269540444508574348779709e+00) }, 
+      { SC_(-7.6733188629150390625000000000000000000000e+00), SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.4441146850585937500000000000000000000000e+00), SC_(1.0801829563303742714796062386840372944152e+00) }, 
+      { SC_(-7.3379821777343750000000000000000000000000e+00), SC_(-8.9230842590332031250000000000000000000000e+00), SC_(7.4485748291015625000000000000000000000000e+01), SC_(-9.7375683797737559231310591870347355470131e+04) }, 
+      { SC_(-6.3845710754394531250000000000000000000000e+00), SC_(1.5070297241210937500000000000000000000000e+01), SC_(1.7053543090820312500000000000000000000000e+01), SC_(8.3898488099816853847904405648254326769818e-01) }, 
+      { SC_(-6.0006504058837890625000000000000000000000e+00), SC_(1.6294586181640625000000000000000000000000e+01), SC_(-6.0680953979492187500000000000000000000000e+01), SC_(2.8785236681083962893832262874724843440580e+00) }, 
+      { SC_(-4.3109188079833984375000000000000000000000e+00), SC_(-3.1164932250976562500000000000000000000000e+00), SC_(3.1095581054687500000000000000000000000000e+01), SC_(-2.4338784712090861161103813511742621752907e+05) }, 
+      { SC_(-3.0733947753906250000000000000000000000000e+00), SC_(1.8371650695800781250000000000000000000000e+01), SC_(1.6191337585449218750000000000000000000000e+01), SC_(7.9969594372684567479200044534448737112353e-01) }, 
+      { SC_(-9.7292184829711914062500000000000000000000e-01), SC_(8.5852718353271484375000000000000000000000e-01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(-3.8479643557626853493282070912407630508011e+03) }, 
+      { SC_(-9.3110799789428710937500000000000000000000e-01), SC_(3.2721102237701416015625000000000000000000e-01), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(1.3274006715855418802747314856512628074356e+02) }, 
+      { SC_(-9.2857670783996582031250000000000000000000e-01), SC_(-2.7741205692291259765625000000000000000000e-01), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.5957327900372311760684559064565560425989e+07) }, 
+      { SC_(-9.2711758613586425781250000000000000000000e-01), SC_(-6.2625479698181152343750000000000000000000e-01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(-4.6481448511821567942224413485705877737751e+03) }, 
+      { SC_(-9.0765738487243652343750000000000000000000e-01), SC_(-7.0177221298217773437500000000000000000000e-01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(-2.9128274990676818556608864647623770251180e+03) }, 
+      { SC_(-7.7507114410400390625000000000000000000000e-01), SC_(8.3147096633911132812500000000000000000000e-01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(-1.0117101938884752665856634793174177451829e+04) }, 
+      { SC_(-7.6200461387634277343750000000000000000000e-01), SC_(-8.7934374809265136718750000000000000000000e-02), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(-3.7033113793470643167656496040611055767304e-01) }, 
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+      { SC_(1.2833629608154296875000000000000000000000e+01), SC_(2.3828315734863281250000000000000000000000e-01), SC_(8.8014801025390625000000000000000000000000e+01), SC_(2.0522664314371239993932474771758162491563e+02) }, 
+      { SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.3773559570312500000000000000000000000000e+01), SC_(6.2533688088926754811859161270845720628984e-01) }, 
+      { SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.6471855163574218750000000000000000000000e+01), SC_(8.6665632633084739056152697596877041057703e-01) }, 
+      { SC_(1.8286674499511718750000000000000000000000e+01), SC_(-1.5605529785156250000000000000000000000000e+01), SC_(-2.9248733520507812500000000000000000000000e+00), SC_(1.0103026896041773017354219597019763585889e+00) }, 
+      { SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.8707794189453125000000000000000000000000e+01), SC_(-6.8477386474609375000000000000000000000000e+01), SC_(8.1970974601224314505763503611136167469695e-01) }, 
+      { SC_(1.9540863037109375000000000000000000000000e+01), SC_(-9.8287124633789062500000000000000000000000e+00), SC_(-3.3510345458984375000000000000000000000000e+01), SC_(1.1917262344050289610135662112296735911490e+00) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.8300270080566406250000000000000000000000e+01), SC_(9.9292266845703125000000000000000000000000e+01), SC_(1.3120804234519319804237476312835263605802e+00) }, 
+      { SC_(1.9762741088867187500000000000000000000000e+01), SC_(1.2938312530517578125000000000000000000000e+01), SC_(6.4380645751953125000000000000000000000000e+01), SC_(1.2817254805809260285294554516970119028856e+00) }, 
+      { SC_(4.7215515136718750000000000000000000000000e+01), SC_(-3.4194250488281250000000000000000000000000e+02), SC_(-3.6137561035156250000000000000000000000000e+02), SC_(1.0226309476378112898976543388411657744031e+00) }, 
+      { SC_(1.7873510742187500000000000000000000000000e+02), SC_(-1.0126147460937500000000000000000000000000e+02), SC_(2.5774011230468750000000000000000000000000e+02), SC_(9.8586076548119042518076397539909257012054e-01) }, 
+      { SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.5509802246093750000000000000000000000000e+02), SC_(9.9826555310121491756334118823497873454182e-01) }, 
+      { SC_(1.9482861328125000000000000000000000000000e+02), SC_(-3.7481726074218750000000000000000000000000e+02), SC_(-1.8290051269531250000000000000000000000000e+02), SC_(1.0025077558685747818258257430550175436007e+00) }, 
+      { SC_(1.9907672119140625000000000000000000000000e+02), SC_(-8.7333465576171875000000000000000000000000e+01), SC_(3.9090319824218750000000000000000000000000e+02), SC_(9.7776877363038301340159194122578185239853e-01) }, 
+      { SC_(2.0604608154296875000000000000000000000000e+02), SC_(2.9727990722656250000000000000000000000000e+02), SC_(-4.6816723632812500000000000000000000000000e+02), SC_(9.9238577026512882200354686225669434983401e-01) }, 
+      { SC_(2.0936480712890625000000000000000000000000e+02), SC_(4.2087475585937500000000000000000000000000e+02), SC_(2.5468664550781250000000000000000000000000e+02), SC_(1.0028944958114437118136349433731517136021e+00) }, 
+      { SC_(2.1070385742187500000000000000000000000000e+02), SC_(-3.3738830566406250000000000000000000000000e+02), SC_(1.4396093750000000000000000000000000000000e+02), SC_(9.9797696561938967233481685670351275504285e-01) }, 
+      { SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(1.0045370839403678094885983819734095280482e+00) }, 
+      { SC_(2.4064727783203125000000000000000000000000e+02), SC_(2.4313244628906250000000000000000000000000e+02), SC_(-2.5241302490234375000000000000000000000000e+01), SC_(9.9956868458262201774926765165240721223391e-01) }, 
+      { SC_(2.5126708984375000000000000000000000000000e+02), SC_(3.2124597167968750000000000000000000000000e+02), SC_(-2.4490490722656250000000000000000000000000e+02), SC_(9.9697050557993868496719715657438194438304e-01) }, 
+      { SC_(2.6173120117187500000000000000000000000000e+02), SC_(-3.5070605468750000000000000000000000000000e+02), SC_(-2.6984399414062500000000000000000000000000e+02), SC_(1.0029440955622504123432909399947696491827e+00) }, 
+      { SC_(2.6375000000000000000000000000000000000000e+02), SC_(4.5022204589843750000000000000000000000000e+02), SC_(-9.4109497070312500000000000000000000000000e+00), SC_(9.9992075039237587246879146010182205306644e-01) }, 
+      { SC_(2.6551684570312500000000000000000000000000e+02), SC_(-4.4878356933593750000000000000000000000000e+02), SC_(2.9519995117187500000000000000000000000000e+02), SC_(9.9752571207922378499500009873424873777641e-01) }, 
+      { SC_(2.7391711425781250000000000000000000000000e+02), SC_(4.5974389648437500000000000000000000000000e+02), SC_(7.3754638671875000000000000000000000000000e+01), SC_(1.0005858421906349963985855765556454843429e+00) }, 
+      { SC_(2.9220727539062500000000000000000000000000e+02), SC_(3.7843066406250000000000000000000000000000e+02), SC_(4.5949243164062500000000000000000000000000e+02), SC_(1.0041638797684560593149320756621512436288e+00) }, 
+      { SC_(2.9810583496093750000000000000000000000000e+02), SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(9.9773511249861368695030903074489543409392e-01) }, 
+      { SC_(3.0753100585937500000000000000000000000000e+02), SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(9.9701699937223895470381479673430418968250e-01) }, 
+      { SC_(3.0817541503906250000000000000000000000000e+02), SC_(-2.7618811035156250000000000000000000000000e+02), SC_(-4.8222619628906250000000000000000000000000e+02), SC_(1.0056817113332697933823605681340005184737e+00) }, 
+      { SC_(3.1428479003906250000000000000000000000000e+02), SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(1.0040852045181959166386631399212520283122e+00) }, 
+      { SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(9.9646913231249277134534078280742311695748e-01) }, 
+      { SC_(3.2084069824218750000000000000000000000000e+02), SC_(5.9570617675781250000000000000000000000000e+00), SC_(4.4007397460937500000000000000000000000000e+02), SC_(1.2542221647407933480773650336985701643284e+00) }, 
+      { SC_(3.3500854492187500000000000000000000000000e+02), SC_(-3.7301318359375000000000000000000000000000e+02), SC_(4.6886779785156250000000000000000000000000e+02), SC_(9.9625496323957175957403384283666340287255e-01) }, 
+      { SC_(4.1337585449218750000000000000000000000000e+02), SC_(-2.7896594238281250000000000000000000000000e+02), SC_(1.3235925292968750000000000000000000000000e+02), SC_(9.9885288090238247116006158310367961013934e-01) }, 
+      { SC_(4.5716699218750000000000000000000000000000e+02), SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(1.0000819976102168803390282401342006019679e+00) }, 
+      { SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(-3.4238696289062500000000000000000000000000e+02), SC_(9.9842650500965237149048741000997556591022e-01) }, 
+      { SC_(4.8852160644531250000000000000000000000000e+02), SC_(-2.4571783447265625000000000000000000000000e+02), SC_(-1.6755175781250000000000000000000000000000e+02), SC_(1.0013967937499620519908303274499378625775e+00) }, 
+      { SC_(4.9288122558593750000000000000000000000000e+02), SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(1.0022040512881354342858258741438783825509e+00) }, 
+      { SC_(4.9406848144531250000000000000000000000000e+02), SC_(3.2345776367187500000000000000000000000000e+02), SC_(3.2190319824218750000000000000000000000000e+02), SC_(1.0020163030217476522591853266650047605351e+00) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1.ipp b/src/boost/libs/math/test/hypergeometric_1F1.ipp
new file mode 100644
index 000000000..6f16dac01
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1.ipp
@@ -0,0 +1,2573 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 2560> hypergeometric_1F1 = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(4.1192211540270692135684850769467754943864e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(2.5143811314216628861217890131957547270332e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(7.8490645992100905657010395716213517079320e+04) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(3.2584998744350866041098736430457431758187e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(8.6000347009421229528205145741103121287486e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(1.9310911983866698694771550134279429856052e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(2.6330059700153438121714438258323563534913e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(2.2537006694081032175908514583194485875714e+11) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.6237309362366581930053548040412248168521e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.9626220234068125064350589227213124310459e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(3.3200784547211743132061867908668953518000e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(6.0959134328264263700796956004993971891222e+08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(1.6540578259446250549219669834573986864094e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(4.0170925241529790410295616043598253646110e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(5.5155993297162409281822542019370194297033e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(4.9360683328099093749507850506373936413405e+11) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(-9.7525833709353354966279157903896435385931e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(-6.2825210881714224212672547825813138849727e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(-3.8757505732987639831380304268522524550201e+13) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(3.4497155514636404513968826200000866632580e+11) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-5.8263811346507854556425569414825426998446e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(-1.5535497967956674593905372806396195361000e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-2.4531729513823375531857961435127834737997e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-4.8449036469827200268157658927345360703885e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.2023016806095826062560744356589208962321e+07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.5117908330406493968101436984219340382937e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(7.3805493458724361725255413925649780149519e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.8625136572679071818542020295525974734853e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-4.0742388232269332201527679924750480985781e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(1.0401820915092759295927802900824189286969e-05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(5.2171854266988646271515043865783488146673e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-1.2273907467953269510681662585494726655634e-05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(7.1662899752201558926692508855790084872754e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(5.6930811346973633228760609012281444374845e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(4.6392501669169102298863828043571358947474e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(2.1505542162847578119830769451665124064327e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(8.9753772535784104155251163229589487376403e-08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(6.8693544100889813009208758683031529490469e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(7.4392694539110955728991171086048010844426e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(-1.9471039344612588380101299129118206752508e-05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.4926608456056184648659183467188639954264e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.2019789969070818410907631377317029885175e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(1.1481295077183033833177281867723829306898e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(-3.9163769347312715966829685000237278929992e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-6.7590218595561886672742019750656682985281e-08) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(-7.1408528842372123431928924769184198810448e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-7.6215693462067825051980362257113338664859e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(1.4844480302368899715476035090290400119866e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(1.2854301294129886596311808819952551214732e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.0365225308704905309719589243773442996394e+06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(1.0060350390412309332950846748626577512966e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(-3.1485939034768644279791008360361077831082e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(-1.7164957529742235623423273478714423059286e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(-5.1028323267342914664951259167278678269296e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(-6.4019735175162124788647358321468454636222e-07) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(1.2802251093504580453605415737875243656637e-06) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(4.7104821806071019992487684423413509304853e+05) },
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+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(9.8682080987525243418673873775512123462077e-09) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(3.4157255327842071567821610795562527419734e-07) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.1789448226007626835790402945784435614249e+09) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(4.8908537858870160654329414995371469496558e+09) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(7.3401453993505697447343177386876780111508e+11) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(1.2606199568756346082511449147103470673071e+12) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(6.7308975315302781016305361824663266984848e+13) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9841056823730468750000000000000000000000e+01), SC_(7.6295399432189323162542831232082150482646e-08) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.9161842346191406250000000000000000000000e+01), SC_(1.0194297154567438456087626808728266472124e-07) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+01), SC_(2.3119032708921826042467399899541287797659e-06) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.5177894592285156250000000000000000000000e+01), SC_(1.6411993227997707183522199448336883950595e+08) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.6800682067871093750000000000000000000000e+01), SC_(6.1374461568405594813525139923227866410862e+08) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.2463348388671875000000000000000000000000e+01), SC_(6.5384616052888809928433157372272489553006e+10) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+01), SC_(1.0842828456086984753186911473077983080517e+11) },
+      { SC_(1.9000000000000000000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.7509414672851562500000000000000000000000e+01), SC_(4.5218251677481531875880698139531607502434e+12) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_big.ipp b/src/boost/libs/math/test/hypergeometric_1F1_big.ipp
new file mode 100644
index 000000000..39672f8a1
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_big.ipp
@@ -0,0 +1,2397 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 2383> hypergeometric_1F1_big = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(5.7183779146807201355480824984892132235960e-303) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.5361996854293809244896531977363790923005e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9999192613200886724554310382028215474902e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999999923885327874863869424680507532e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999999981580490644e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000001841950309e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000007611464321313317477012823766e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0000080739307536377053237113957031793278e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9427265531428195368467688302986839087070e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.4344740319146998786059365435241788270263e+302) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(4.7355294125240463700963297602819475658243e-273) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9951457445898342315093964000398654244912e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999995422661377551679511532637609393e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998892298564409e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000110770105857e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000457733688396162733887274883634e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0004856611588072199743182877998224950270e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-2.0321554687500000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(6.0889904945622204539981795208905638705257e+280) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9927404853401060452253718538570738021733e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999993153789197646762190948811399195e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998343238689613e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000165676074649e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000684620820229755745096755095999e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0007264786742716772618787371272944909893e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9215321391933553114412688842084361158008e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999925734404774919422813503386276852e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999982027961385444e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000001797203249755e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000007426556707058694021282093761226e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0079088926137324761328829498026828704710e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(5.9998117541687286664272909666416178234200e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999995116626275467696724155639930307403e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999998818239009467894e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000118176058830539e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000488337212127525404244395189345121e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.6917446896910904323205164624667509881679e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-1.7243402644277887526870971660149662928095e+07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3599493898768427435547004338219380315698e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999998451098534762550169493e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000154890093805001367396e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0640049771627091095794948499640174555599e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-4.5950273775682656730291772960903005536036e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-1.8290613374563599457053407788957871065839e+14) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-6.7893586006614775556160000949347550397558e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999983569950864277282093333831061e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000001643004354355583435350384120e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.7893697063646394168501132782926169309826e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-4.8742128427029132904910580410079419166896e+11) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-7.5582036131197014425108664027593120084039e+32) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-2.8055609310398110739892777481442607830150e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-6.7893553536143344671176095155420900325921e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(6.7893730427713310657647817330657815119202e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(2.8055572556624400917171976667898419540690e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-2.0141638973219641225256880082443388391236e+30) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(7.5582057568925927548206194871759798891917e+32) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(2.8055617267957574271665117771654634081188e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(6.7893772793176019775048899265889779277747e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-6.7893549684739431396435548304850505742027e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-2.8055580514173439783538891938640074049972e+24) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.0141644686098233492407586903414212024575e+30) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.8290613374486009454079229500387425981018e+14) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(6.7893786006614775469635418473169292639814e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.0000000000001643004913572271790666616894e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(9.9999999999983569956456444165646496158802e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-6.7893497063646394255025609284765510112248e+05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(4.8742128427056948310046232769031011241206e+11) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.7242631060607458979358784130576958516793e+07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.0640050770335244012958752974918705090146e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.0000000000000000000154890185296637908674e+00) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(9.9999999999999999998451098674221189038064e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3599500681437271362439272929559256881521e-01) }, 
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+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-1.8290796824608032482258266745747887295678e+14) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-2.0141395465671777444950784377655180190826e+30) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(2.8055574604543653324734158977256621025108e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(6.7893732702807647711518075801686201999067e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-6.7893509594384704576963840755113911337243e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-2.8055590044603941525998569974989072297741e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(-7.5582794199152563791540640987991712663453e+32) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.0141401178481302390465148361310468208133e+30) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-2.8055582562093273053168522016478830029429e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-6.7893551959834413747232776054001247483155e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(6.7893728851404916249604691026578576800515e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(2.8055598002157940599629312776448652137109e+24) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(7.5582815637096491700699021924404217275460e+32) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(4.8741539146503031621683817187922115128395e+11) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-6.7893502019546127230288629926305868496325e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999983569955905878541330810926432e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000001643003850195629108628156449e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.7893739384003036009361956105538269892648e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.8290796824530441508362119089713695205582e+14) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(4.5950007903684897096829443288669639798311e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3599500214232199852350645542771384571553e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999998451098622317989684385e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000154890085049460395962e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0640050330812214485669225932069526430923e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.7242803998701197650668664301258321474812e+07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(5.9159782685389816916590913648432099656137e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999995116625805428641692798398880675938e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999998818238898757930e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000118176069901532e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000488337256620639695747634027005406e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.6678316937861867696400884793170285016543e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9215316418737149226523245135972225469657e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999925734398611665631682676581261943e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999982027959893966e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000001797203398903e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000007426557323375046576473056304090e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0079088434099102584941115483587237061025e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(7.3454325098384925826197781329328162278603e-430) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9927404871854877360854293883769165356657e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999993153791298423464592157746054003e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998343239197994e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000165676023811e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000684620610152158489618339138857e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0007264784130725688212246595368628008928e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(1.6440079570631358173132305943598176997699e-281) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9951457441002139080866428718275237747073e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999995422661022388801920803935631325e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999998892298478461e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000110770114452e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000457733723912434994779303043302e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0004856611851823525195328509863604944085e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.1135857820542275762062982236299021203795e+272) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(6.9726839879958746145355313362044604125177e-303) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.5363241241342035331594199304277749557031e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(9.9999192613448637029913157605341084793554e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.9999999999923885351230839476243681814012e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(9.9999999999999999999999999999981580496296e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.0000000000000000000000000000001841949743e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.0000000000007611461985716643970045090242e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.0000080739282761487313229375421023837981e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9428943964254881723168603560241682102422e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.7483740769510674849517097791174324335485e+302) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_big_double_limited.ipp b/src/boost/libs/math/test/hypergeometric_1F1_big_double_limited.ipp
new file mode 100644
index 000000000..112d27994
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_big_double_limited.ipp
@@ -0,0 +1,21 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 7> hypergeometric_1F1_big_double_limited = {{
+      { SC_(-9.6886797109618782997131347656250000000000e-06), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(9.9998253928322852691286461253432557187618e-01) },
+      { SC_(9.6886760729830712080001831054687500000000e-06), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(1.0000174610171120995494972331285845784973e+00) },
+      { SC_(-9.1337614555042634378878574352711439132690e-13), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(9.9999999999835391995458077011747081732328e-01) },
+      { SC_(9.1337571186955734958701214054599404335022e-13), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(1.0000000000016460792638453549919301101979e+00) },
+      { { static_cast<T>(std::ldexp((double)10485392221989376, -40)), static_cast<T>(std::ldexp((double)-11440692920695040, -40)), static_cast<T>(std::ldexp((double)15790527852544000, -44)), SC_(1.18289892801537469540400591236035802241505227e+161) } },
+      { { static_cast<T>(std::ldexp((double)10485980564770816, -40)), static_cast<T>(std::ldexp((double)-10424015334037760, -40)), static_cast<T>(std::ldexp((double)12850940076032000, -44)), SC_(-5.63691240015269602721075116789607623755153984e-99) } },
+      { { static_cast<T>(std::ldexp((double)10485102088130304, -40)), static_cast<T>(std::ldexp((double)-12174307949802496, -40)), static_cast<T>(std::ldexp((double)17027372515328000, -44)), SC_(-619367491691927041975872.474550388407917992627) } },
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_big_unsolved.ipp b/src/boost/libs/math/test/hypergeometric_1F1_big_unsolved.ipp
new file mode 100644
index 000000000..4a098d851
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_big_unsolved.ipp
@@ -0,0 +1,35 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 12> hypergeometric_1F1_big = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(4.9489925464971372677922628162736666342744e-401) }, 
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-2.5898494644592200447792014846620256493447e+43) }, 
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(8.3580772868001229331683618349570363666238e-49) }, 
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.0000000000000000000000000000001841950482e+00) }, 
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.4143132578451013939933694899988696371695e-285) }, 
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.8816883172369257616825726933718953221443e-48) }, 
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(-1.9968249288530089023473568880955473893079e-200) }, 
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(-6.9968853248890935672930771162399978395619e+106) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.3178378214666009047858314720801604745108e-400) }, 
+
+      // These next 2 should be solvable by A&S 13.3.6 (which does converge nicely for these inputs) but gives the wrong results:
+
+      // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+      { { SC_(-5.9981750131794866e-15), SC_(0.499999999999994), SC_(-240.42092034220695), SC_(1.00000000000004464930530925572237133417488137) }},
+      // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+      { { SC_(-5.9981750131794866e-15), SC_(-0.500000000000006), SC_(-240.42092034220695), SC_(1.00000000000003262784934420226963147689063665) }},
+
+      // This one is not too awful, we simply have no better method to improve the error rate:
+      // Unexpected high error : 663646.042870225268416106700897216796875 Found : 3.2303512071340211020409327602465054951608181e-07 Expected : 3.23035120665799970299144868238205852151168074e-07
+      { { SC_(1.3785990114778025e-10), SC_(-0.99999999986214005), SC_(-3059.6150326728821), SC_(3.23035120665799974283996469721682549854387981e-07) }},
+
+}};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1F1_small_random.ipp b/src/boost/libs/math/test/hypergeometric_1F1_small_random.ipp
new file mode 100644
index 000000000..e87443cce
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F1_small_random.ipp
@@ -0,0 +1,525 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 512> hypergeometric_1F1_small_random = {{
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.3120496888848085298500150407682059028781e-07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.6514289704448319804813725126456961678164e-07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.4251648118650251187396410170163027341567e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9329883887952291363912923641903252697671e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.6022834664829109580559513943614433234837e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.1202798760022712181196496058323664735578e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.5173092391411281539208311318861329133408e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3965802816047186826219234476118783495661e+08) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-6.0578133795338771807914542394423097784312e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-4.2629221827214476289450605410767463229413e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-7.1420600673577551684343184889890782039808e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(4.6549360518646681912216258020249589194284e+05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.0265493171455343234400728774614777155838e+06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3967144700010162771560607627370644163103e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8250794750569058416086979379365475589740e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2309523541272620250099190622367582626138e+08) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.2855614987939496930875473152426286733340e+10) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(3.8669459997258647094663831763157735745831e+10) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.0514246519661881369608735922752109633659e+09) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.1172705179905930516504576753453180135315e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.1832887320858921363869110588116464085771e+07) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(7.3320112927934212101555413508931525023065e+08) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.0268975553354738854637567365813196985563e+09) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.6874573394773905777796041306114389147700e+09) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.1989539219190365351299833491996336922842e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8894176498265838967612097238992226655969e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(3.6521349860645664571395498516248737801550e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-7.9965351801351068182544390352654527597974e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.3443955361690253710359920766938221868510e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6715801850599329113888396268349420290184e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8189420343349571525478843028876274491794e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1658763232911819859902138099116413203592e-04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5670145172858639910784798616014438326848e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.3505676338816138948159832359173370818393e+04) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.7054704087396405833672214515503944931885e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.8011535892784451992487023483324227105376e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-7.1644358626415491804864782440440637597976e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.4000329115595817714545552969885615119490e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(9.1410919180653436669585849183246001717522e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(3.2186884192070860308578815852209554773358e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.6449628347049920034132752188153310983823e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.9137084156912851306010547587449555596374e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.1040396786489372945099179347243447381418e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9970206644090035762195506703568019902269e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(3.7559440609855314028372435364328560462573e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-3.4216478343038136772422729854406626419965e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-3.4221101490033313848022866474309421464624e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4263596968144243123015049822712650844623e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.1243680862823312928567175014433964551909e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.4649900741995189687740863907774694642193e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.0147796609043424793300235109905125644633e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.1060599705789567218314411207527577397969e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(3.4907480420480231769767676618398510232266e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.9041621925172190961303555771795657906625e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-3.1116641567529802374902389587400950237174e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.4422835478933816738535662804601488032637e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.6821761835815310418326149340607662295557e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.3532606320759611042488323726715012095548e+03) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.7901024588453629014694171480502272966594e+02) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.4415328976051365725092911216704515173059e-05) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-5.3140285596123391966881705133801611200206e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(7.8373068873386762880729094337970488531995e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(3.2399279041930723747120018704848547261193e-06) },
+      { SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4844493347101439224683098657410390361681e-05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5295363119981548432477817961911347884918e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.0760474608915101604896460036340644439742e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.7847284175382149640209289575093299662281e+03) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.5797295124645983704336977220361885928953e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.4686361335340117787094919491783865467739e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6923902705266714606977231482224281502211e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.3949613253296433952920990672285022624418e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.9133807144107665152166675735396934343908e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.3120496888848085298500150407682059028781e-07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.6514289704448319804813725126456961678164e-07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.4251648118650251187396410170163027341567e-05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9329883887952291363912923641903252697671e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.6022834664829109580559513943614433234837e+05) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.1202798760022712181196496058323664735578e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.5173092391411281539208311318861329133408e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3965802816047186826219234476118783495661e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4121986020116719336513101403429615978892e+10) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7715650262931614083807558987859641104350e+10) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.0211976874414691093822916494094145202953e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.2333324824661804044106129536125493288080e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-3.5926009120090977437980402660995802836312e+07) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(3.3569360443733178479863749801886215845067e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(5.2945502077251844191270359032333436225263e+08) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(5.8080657175636251990970364230737566272893e+09) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8032861699573921010497549726710535169614e+04) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.5539346291698192484388303421884155066598e+04) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(3.0992397958104072841964166291852590818105e+03) },
+      { SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-5.6657128625670909382146485720636985017468e-05) },
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+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.2597403666720717146576510741149742483034e+25) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(9.2664178436164317665277902918954034538230e+27) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8190615678713277684864915572574398896348e+28) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.1616631109398825886200779976466403808998e+30) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.4139881435092200947670874172981153369396e-09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6714153765383299037375128990008313257288e-09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.8961219114157176009203753643741401272383e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6170735637748533369011241074730568849583e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(4.3538757721347850395141280798132441423945e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3247117778591164816461171410454867687330e+09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.9035594447417219646912897871397447981090e+09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.6543560716040885951347022286983486927033e+10) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(5.2641356488262031155151336633004067475305e-10) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.2610346648539095125131840493711504523632e-09) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.8681828984038410005572396715146464266342e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(8.5387686758153553359516348505834386130386e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.2404112697061464627834364767519114509809e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.2714163706058565731054540761376631007250e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.9365593665353087599545649419662464718217e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.1752710297767515765591266019206780271583e+10) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.1492896571744523966974190971761814891321e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.5650206266819267073855727677151521184391e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(3.1255936611185462320692055413437162854227e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.2224150652257202079653653002301168169908e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.9468837164738657077909646958494664127708e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.2630946752114898730425989148728917021982e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.6796693509628163998328813105234762826280e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(9.3914114153622278068435254456419222813017e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.2436646885496169830438464415251725982313e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.5544087033210144463951641400055154118599e-08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(7.7183950873317155964308966865051892388579e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.0156389799403500669478284838514371698044e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4274842558080851917896568397129443739949e+06) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(5.0163489606219798790064747772030434421459e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(6.9320762490630180220354517542992633577637e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(7.3516047749839877587097845911430358353540e+08) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(3.3120496888848085298500150407682059028781e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.6514289704448319804813725126456961678164e-07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.4251648118650251187396410170163027341567e-05) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.9329883887952291363912923641903252697671e+05) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.6022834664829109580559513943614433234837e+05) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.1202798760022712181196496058323664735578e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.5173092391411281539208311318861329133408e+07) },
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.3965802816047186826219234476118783495661e+08) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_1F2.ipp b/src/boost/libs/math/test/hypergeometric_1F2.ipp
new file mode 100644
index 000000000..98ae293ae
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1F2.ipp
@@ -0,0 +1,217 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 203> hypergeometric_1F2 = {{
+      { SC_(-4.9536584472656250000000000000000000000000e+02), SC_(-4.6568273925781250000000000000000000000000e+02), SC_(2.7491040039062500000000000000000000000000e+02), SC_(4.7700195312500000000000000000000000000000e+02), SC_(6.2953633625840198330241832636073870213647e+00) }, 
+      { SC_(-4.8809802246093750000000000000000000000000e+02), SC_(2.2695471191406250000000000000000000000000e+02), SC_(-1.6287738037109375000000000000000000000000e+02), SC_(-1.1143020629882812500000000000000000000000e+02), SC_(2.2954168492018348021567539085069725582696e-01) }, 
+      { SC_(-4.5697619628906250000000000000000000000000e+02), SC_(4.0843359375000000000000000000000000000000e+02), SC_(-3.3101000976562500000000000000000000000000e+02), SC_(3.0913720703125000000000000000000000000000e+02), SC_(2.8406789544837496409837534677181916029002e+00) }, 
+      { SC_(-4.2414575195312500000000000000000000000000e+02), SC_(-9.5791503906250000000000000000000000000000e+01), SC_(-4.4604992675781250000000000000000000000000e+02), SC_(-1.4723760986328125000000000000000000000000e+02), SC_(4.3621387519835661716303050453655954333981e+00) }, 
+      { SC_(-4.2182446289062500000000000000000000000000e+02), SC_(3.5445092773437500000000000000000000000000e+02), SC_(-5.7321716308593750000000000000000000000000e+01), SC_(1.0423150634765625000000000000000000000000e+02), SC_(8.9770347887034762646255416767297731004656e+00) }, 
+      { SC_(-4.1556420898437500000000000000000000000000e+02), SC_(-1.5376660156250000000000000000000000000000e+02), SC_(-1.0021734619140625000000000000000000000000e+02), SC_(3.5587512207031250000000000000000000000000e+02), SC_(4.0952594655659526604226152771672138770580e+07) }, 
+      { SC_(-4.0354553222656250000000000000000000000000e+02), SC_(-2.7658007812500000000000000000000000000000e+02), SC_(-3.6802673339843750000000000000000000000000e+02), SC_(-9.6985168457031250000000000000000000000000e+00), SC_(1.0392018562107877165208393046336826121615e+00) }, 
+      { SC_(-4.0286828613281250000000000000000000000000e+02), SC_(4.9406848144531250000000000000000000000000e+02), SC_(3.2345776367187500000000000000000000000000e+02), SC_(3.2190319824218750000000000000000000000000e+02), SC_(4.4308313520337312066670250774889362476371e-01) }, 
+      { SC_(-3.9334729003906250000000000000000000000000e+02), SC_(-1.4558105468750000000000000000000000000000e+00), SC_(4.6189807128906250000000000000000000000000e+02), SC_(4.7992565917968750000000000000000000000000e+02), SC_(1.1195384661700382236382001507705022784189e+03) }, 
+      { SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(2.7391711425781250000000000000000000000000e+02), SC_(-1.2900365105767572521165387360306912062493e+52) }, 
+      { SC_(-3.7301318359375000000000000000000000000000e+02), SC_(4.6886779785156250000000000000000000000000e+02), SC_(4.1337585449218750000000000000000000000000e+02), SC_(-2.7896594238281250000000000000000000000000e+02), SC_(1.7088983160726331161548448241078207728564e+00) }, 
+      { SC_(-3.5446105957031250000000000000000000000000e+02), SC_(-2.1732672119140625000000000000000000000000e+02), SC_(-3.6393151855468750000000000000000000000000e+02), SC_(3.0211145019531250000000000000000000000000e+02), SC_(2.5928803317535669685163913495588679602266e-01) }, 
+      { SC_(-3.5070605468750000000000000000000000000000e+02), SC_(-2.6984399414062500000000000000000000000000e+02), SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(1.9142889445713712115260413093057932942367e-01) }, 
+      { SC_(-3.4762207031250000000000000000000000000000e+02), SC_(3.1900329589843750000000000000000000000000e+00), SC_(3.2581701660156250000000000000000000000000e+02), SC_(-3.7525817871093750000000000000000000000000e+01), SC_(1.1480130815171587388506615460208536579504e+03) }, 
+      { SC_(-3.4238696289062500000000000000000000000000e+02), SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(2.0983327605520708176806967283659011097557e-01) }, 
+      { SC_(-3.3781774902343750000000000000000000000000e+02), SC_(4.2749279785156250000000000000000000000000e+02), SC_(2.9428454589843750000000000000000000000000e+02), SC_(-6.3882446289062500000000000000000000000000e+01), SC_(1.1869817799931480728760769672044110585667e+00) }, 
+      { SC_(-3.3435131835937500000000000000000000000000e+02), SC_(-3.8045288085937500000000000000000000000000e+02), SC_(1.0198193359375000000000000000000000000000e+02), SC_(-2.8043212890625000000000000000000000000000e+01), SC_(7.8509068293092183850912864620461919495373e-01) }, 
+      { SC_(-3.1815307617187500000000000000000000000000e+02), SC_(4.8236047363281250000000000000000000000000e+02), SC_(-2.3619708251953125000000000000000000000000e+02), SC_(-4.0464489746093750000000000000000000000000e+02), SC_(3.2284305619312206575036028397068097398837e-01) }, 
+      { SC_(-3.1609228515625000000000000000000000000000e+02), SC_(4.7709960937500000000000000000000000000000e+00), SC_(-2.6004748535156250000000000000000000000000e+02), SC_(3.2260498046875000000000000000000000000000e+02), SC_(2.0681843344609826233997194529693269163853e+12) }, 
+      { SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-1.1434801258896651208704659123724449421769e+05) }, 
+      { SC_(-3.0340478515625000000000000000000000000000e+02), SC_(3.4846777343750000000000000000000000000000e+02), SC_(-2.4891619873046875000000000000000000000000e+02), SC_(4.5501757812500000000000000000000000000000e+02), SC_(4.8984161004382169077893149986653301379522e+00) }, 
+      { SC_(-2.7102307128906250000000000000000000000000e+02), SC_(5.4985351562500000000000000000000000000000e+00), SC_(4.1333728027343750000000000000000000000000e+02), SC_(5.8268798828125000000000000000000000000000e+01), SC_(2.3772578658335831769915649816518556238736e-03) }, 
+      { SC_(-2.6522009277343750000000000000000000000000e+02), SC_(5.2881164550781250000000000000000000000000e+01), SC_(-1.4684143066406250000000000000000000000000e+02), SC_(-4.4684753417968750000000000000000000000000e+02), SC_(8.4892537677592787989991483572127549572789e-09) }, 
+      { SC_(-2.6008386230468750000000000000000000000000e+02), SC_(-4.5952893066406250000000000000000000000000e+02), SC_(-3.7668115234375000000000000000000000000000e+02), SC_(-2.4704406738281250000000000000000000000000e+02), SC_(1.4495627712429950621933072560877302044965e+00) }, 
+      { SC_(-2.5830871582031250000000000000000000000000e+02), SC_(-2.2724700927734375000000000000000000000000e+02), SC_(-9.6087860107421875000000000000000000000000e+01), SC_(-7.5580139160156250000000000000000000000000e+00), SC_(1.0935759282076007044751382503570393444482e+00) }, 
+      { SC_(-2.4012957763671875000000000000000000000000e+02), SC_(-4.5494055175781250000000000000000000000000e+02), SC_(3.0006848144531250000000000000000000000000e+02), SC_(1.6011944580078125000000000000000000000000e+02), SC_(1.3250416124772042353426751277966619703625e+00) }, 
+      { SC_(-2.3702874755859375000000000000000000000000e+02), SC_(-1.5978033447265625000000000000000000000000e+02), SC_(1.5407910156250000000000000000000000000000e+02), SC_(2.9841979980468750000000000000000000000000e+01), SC_(1.3326049952467952598653371651232863684134e+00) }, 
+      { SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.9056234941228406055930919346670994692304e+01) }, 
+      { SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(6.2898720554615802418327146735741736394814e-01) }, 
+      { SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(4.9288122558593750000000000000000000000000e+02), SC_(1.0487435494209809074694724050956547440689e+03) }, 
+      { SC_(-1.8878497314453125000000000000000000000000e+02), SC_(3.6267810058593750000000000000000000000000e+02), SC_(2.8533142089843750000000000000000000000000e+01), SC_(1.2036004638671875000000000000000000000000e+02), SC_(9.9383072015492347795086661518016762849065e-02) }, 
+      { SC_(-1.6228057861328125000000000000000000000000e+02), SC_(3.8772607421875000000000000000000000000000e+02), SC_(4.0005383300781250000000000000000000000000e+02), SC_(-1.5616046142578125000000000000000000000000e+02), SC_(1.1773064181329539807646132943923713860725e+00) }, 
+      { SC_(-1.4904760742187500000000000000000000000000e+02), SC_(-3.0044885253906250000000000000000000000000e+02), SC_(1.3249511718750000000000000000000000000000e+01), SC_(-3.6199865722656250000000000000000000000000e+02), SC_(-2.4029573460782352192606632604885723921759e-06) }, 
+      { SC_(-1.4834051513671875000000000000000000000000e+02), SC_(-4.3240466308593750000000000000000000000000e+02), SC_(3.3082861328125000000000000000000000000000e+02), SC_(2.9359753417968750000000000000000000000000e+02), SC_(1.3554151740644619074420270217185158298084e+00) }, 
+      { SC_(-1.3151544189453125000000000000000000000000e+02), SC_(-1.5607025146484375000000000000000000000000e+02), SC_(1.2561859130859375000000000000000000000000e+02), SC_(3.1576904296875000000000000000000000000000e+02), SC_(8.1520938504033295486071048439136075568494e+00) }, 
+      { SC_(-1.3075323486328125000000000000000000000000e+02), SC_(-4.6673144531250000000000000000000000000000e+02), SC_(-3.8879724121093750000000000000000000000000e+02), SC_(-3.3712792968750000000000000000000000000000e+02), SC_(1.2748509702084167484662551181100799157721e+00) }, 
+      { SC_(-1.1955416870117187500000000000000000000000e+02), SC_(-2.9193200683593750000000000000000000000000e+02), SC_(6.7821594238281250000000000000000000000000e+01), SC_(2.7371459960937500000000000000000000000000e+01), SC_(1.1794084458977569869956360625369446312629e+00) }, 
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+      { SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(-3.5811364746093750000000000000000000000000e+02), SC_(-4.9521655273437500000000000000000000000000e+02), SC_(1.3224555718324446086245358664858068925167e-01) }, 
+      { SC_(3.1428479003906250000000000000000000000000e+02), SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(-4.8646093750000000000000000000000000000000e+02), SC_(5.3606043569822407678700658098436422934217e-02) }, 
+      { SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(3.3500854492187500000000000000000000000000e+02), SC_(4.9070868113724046848391473903549599477217e-01) }, 
+      { SC_(3.1730322265625000000000000000000000000000e+02), SC_(-1.3681353759765625000000000000000000000000e+02), SC_(3.6869470214843750000000000000000000000000e+02), SC_(1.7951971435546875000000000000000000000000e+02), SC_(3.2486969100887639397686279274711519871883e-01) }, 
+      { SC_(3.1762768554687500000000000000000000000000e+02), SC_(-1.3913928222656250000000000000000000000000e+02), SC_(2.9483142089843750000000000000000000000000e+02), SC_(4.1711791992187500000000000000000000000000e+02), SC_(4.0997442016031168571088908036165895223187e-02) }, 
+      { SC_(3.2119396972656250000000000000000000000000e+02), SC_(-1.7748925781250000000000000000000000000000e+02), SC_(-4.8459655761718750000000000000000000000000e+02), SC_(-9.5018615722656250000000000000000000000000e+01), SC_(7.0176937304609757982265942290364945142837e-01) }, 
+      { SC_(3.4071728515625000000000000000000000000000e+02), SC_(4.8852160644531250000000000000000000000000e+02), SC_(-2.4571783447265625000000000000000000000000e+02), SC_(-1.6755175781250000000000000000000000000000e+02), SC_(1.6098537510564271775154622946473632101740e+00) }, 
+      { SC_(3.4912927246093750000000000000000000000000e+02), SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(6.0294254404337351532959084802691688193664e-01) }, 
+      { SC_(3.5303112792968750000000000000000000000000e+02), SC_(3.3933105468750000000000000000000000000000e+01), SC_(1.2205511474609375000000000000000000000000e+02), SC_(-6.1333190917968750000000000000000000000000e+01), SC_(2.9227845424513001188641505257754927836543e-03) }, 
+      { SC_(3.6929211425781250000000000000000000000000e+02), SC_(-4.2244299316406250000000000000000000000000e+02), SC_(7.9704589843750000000000000000000000000000e+01), SC_(1.2738433837890625000000000000000000000000e+02), SC_(2.4550012097873731086926329665170573166183e-01) }, 
+      { SC_(3.9090319824218750000000000000000000000000e+02), SC_(-7.6834899902343750000000000000000000000000e+01), SC_(4.5929138183593750000000000000000000000000e+02), SC_(8.0956726074218750000000000000000000000000e+01), SC_(4.1008638464621294670577937874274757421403e-01) }, 
+      { SC_(4.0271606445312500000000000000000000000000e+02), SC_(-1.9817272949218750000000000000000000000000e+02), SC_(4.4478723144531250000000000000000000000000e+02), SC_(-4.5205578613281250000000000000000000000000e+02), SC_(7.9792084394359697149364995431404904951076e+00) }, 
+      { SC_(4.1719360351562500000000000000000000000000e+02), SC_(1.9523284912109375000000000000000000000000e+02), SC_(-2.1416101074218750000000000000000000000000e+02), SC_(1.7981976318359375000000000000000000000000e+02), SC_(1.6677161550201597911217819138227481518146e-01) }, 
+      { SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(6.9169828474031185548966363292999294270636e+01) }, 
+      { SC_(4.2938598632812500000000000000000000000000e+02), SC_(-4.1503112792968750000000000000000000000000e+01), SC_(2.7571264648437500000000000000000000000000e+02), SC_(-1.9638604736328125000000000000000000000000e+02), SC_(3.8677599404919126050288702417981127634707e+03) }, 
+      { SC_(4.3401062011718750000000000000000000000000e+02), SC_(4.6496630859375000000000000000000000000000e+02), SC_(-3.7009387207031250000000000000000000000000e+02), SC_(-3.4556164550781250000000000000000000000000e+02), SC_(2.3932234491787327738182561861870260515121e+00) }, 
+      { SC_(4.4205053710937500000000000000000000000000e+02), SC_(4.5494335937500000000000000000000000000000e+02), SC_(4.5613452148437500000000000000000000000000e+02), SC_(1.5196862792968750000000000000000000000000e+02), SC_(1.3821127954875742281701612743057268242803e+00) }, 
+      { SC_(4.5022204589843750000000000000000000000000e+02), SC_(-9.4109497070312500000000000000000000000000e+00), SC_(-4.6555395507812500000000000000000000000000e+02), SC_(1.6360552978515625000000000000000000000000e+02), SC_(8.4971823818350884090250702761334177048449e+04) }, 
+      { SC_(4.5716699218750000000000000000000000000000e+02), SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(2.9810583496093750000000000000000000000000e+02), SC_(2.2895900262598367967724720672458868414459e+07) }, 
+      { SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(2.5250277249663024383341030945760911735103e+00) }, 
+      { SC_(4.5974389648437500000000000000000000000000e+02), SC_(7.3754638671875000000000000000000000000000e+01), SC_(-1.5961425781250000000000000000000000000000e+02), SC_(3.7675744628906250000000000000000000000000e+02), SC_(1.9308146485371088709212764705092521101549e-07) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1f1_large_regularized.ipp b/src/boost/libs/math/test/hypergeometric_1f1_large_regularized.ipp
new file mode 100644
index 000000000..d0c0320cb
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1f1_large_regularized.ipp
@@ -0,0 +1,2022 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 2008> hypergeometric_1f1_large_regularized = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(4.0276663579159193006951037397981254601813e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(6.7129875507034971595620263116260431712429e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(6.7129878785237833504309558423436229226113e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(6.7129878785237833504309560010065400162665e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.7129882063439619148485089154693302002749e+15) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.1356661595453269338409583627017301161607e+16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.5873352050781250000000000000000000000000e+01), SC_(-4.4961264612476914793427869087364885977294e+72) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059660579261572510917574295320572992652e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-1.3602718650614843079637735827878150847154e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-1.4532897651483803866724488114571994275810e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-1.4532897651483803867174688567286966894045e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-1.5463075433775013585809069442820986244113e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779062583965630305716417992355873640682e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9609926727072889915880225396661994166653e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983409045286278997685820494014182e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018543397254310147086821986620071089127e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-1.3700637846434619423646541192532193067304e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-1.3700637846439121465940532661296084221633e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018695552471360836728197654473932529617e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944324178296635393118565891539927e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253473482147926803512057213604147013e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983375711117960278608577385878886e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018680403706335701290922818235855933469e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(2.2510182145678120277553565223562021634050e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-2.2510240794272170514802442713301279884300e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018558546166457675699928272254372974062e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944396043709566009459680439185644e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253472853091160352830937648227098010e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983375711117960278608561252354847e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018680403706335701290989128481430204703e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(2.2510248455888091405993166043887445621715e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-2.2510174484062199386362841892993087594947e-25) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018558546166457675699861962080004999150e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944396043709566009459715221585372e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253472853091160352830937343767650688e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5059306983342376949641595821001917491667e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(9.3018817410158361472190253671894431904939e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3700637846460791005981528879382424910460e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3700637846456288963687530289987844874287e-12) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-9.3018421539861554297975970795199062785812e-07) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6779824944467909122495834884599387636034e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9603253472224034393911096444575950225576e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.5058953391661681263544129082370930894242e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.5463332446281055395842288497736874539552e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.4533137839335554835014800540258494116422e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.4533137839335554834564592534300137267727e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.3602944450963100583299350492192146423088e-05) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(6.6780587215641672356674494949332424218202e-01) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.9596581226978818963671289617541658335518e+04) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(2.2642938916874995087527200233512488887943e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.3576273862752083056509537463143878972101e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3576273199771626836261775864980601220200e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3576273199771626836261775544102326018804e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.3576272536791453209149858379393819501926e-16) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(8.0316910492822212721239639161672023237352e-17) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.6025465972351057034356198592920349545411e-63) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.9802492826931166205674621000580546389098e-1379) }, 
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+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(-1.3602719289369003528853344017485959922707e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059911922470601055957967478463432608582e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759412783240768632560980182900635333e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592378262014337210296019336452785e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018702342370105311454773843467334641080e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-1.3700637846439121466015963663590550429587e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(-1.3700637846434619425103435020106844357592e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018479521302420408951414388775264644518e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321671214249342651851080364029762e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759411980326041984480637403900937017e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592450126916776661586322999450225e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018565336065202155796261812118484006426e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-2.2510241548582193460061047426801251673654e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(2.2510167576739844519519221384984630120518e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018616527754445912640925313162413503098e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321637879614675315940288491868395e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759411980326041984480637015295350115e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592450126916776661586357781602879e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018565336065202155796195501944116034113e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(-2.2510175238372222331621446606493059384589e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(2.7629251803648148189100116065917360197859e-31), SC_(2.2510233886949815647958822205310054102607e-25) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018616527754445912640991623407987749883e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321637879614675315940272358118646e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0463759411177411315347829353443579956849e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779017592521991819215321967233906003030e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-9.3018428329760298783442061685917164037365e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3700637846456288963612099287693259361299e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3700637846460791004524635051805469331980e-12) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.1417195314167294384333217749372124671936e-12), SC_(9.3018753534206471633025666259749633018781e-07) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059558321604544980008016319945609707918e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.0455243099284731838626288123862807305458e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(6.6779779858281079284145946319072669175756e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.3602944383063543548371922277172399986135e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.4533137839335554834564592526756973762632e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.4533137839335554835014800394567889236764e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.5463331807516178227597309884322703930153e-05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.5059204724977078867864596735169233488740e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.1179037541354844220601706868659147980053e-70) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(8.0316937217597129621969156105908653015582e-17) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.3576272536791404814106919113275433582799e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.3576273199771626836261775544102320642539e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.3576273199771626836261775864980497381643e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.3576273862751627787140790101447156178331e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(2.2642938726079125970366474072000298318127e-16) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-2.4768921833277728458163747148094201671184e-4456) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.2423665507370980444567778937491482982041e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.2521922971762270313935386751704147909044e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.2521922981061751721204943356022305847094e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.2521922981061751721204943360523195121534e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.2521922990361229602979188048795643258727e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.2620956909109925774883311540689392653803e-3335) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.2305821754544348028216801401605282441557e-1374) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(1.1042984179267884990346895971978473341304e-50683) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.5022896876353616891785711881043471839404e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.5033810689460226815610517767135849344934e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.5033810690489472871281351479868119334073e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.5033810690489472871281351480366267814433e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.5033810691518718536064846084475994491695e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.5044732429422333083646410015523153118824e-50254) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(3.0483447121759530296680202172040775719996e-49854) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(6.5392460722549680901188796808279663942537e-35873) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(1.4493070788437172999463756198938183618993e-78998) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(8.8114144574318372868016340800396286894009e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(8.8156938204023485676338124555720839877289e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(8.8156938208058727570404215559880397717177e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(2.7629251803648148189100116065917360197859e-31), SC_(8.8156938208058727570404215561833428876554e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1417195314167294384333217749372124671936e-12), SC_(8.8156938212093967931873530103564240691013e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.2110846000723540782928466796875000000000e-05), SC_(8.8199752611150900788382191609666277879237e-78718) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.8632725118598602149860918221705128006283e-78445) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.0509143925550271038771708018266879557798e-66808) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1322398437500000000000000000000000000000e+04), SC_(4.4907958463949740809169944871307693311307e-16256) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1322402343750000000000000000000000000000e+04), SC_(8.7823586675416606930931477888101914118149e-6911485) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(7.6778868725060013852824378433979160662968e-6908514) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(2.7928427174723416916896287940449471351511e-6908216) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.1011290480822098158519612760943692394801e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(1.1011379385209992693422614832996827808576e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-2.7629261207602954767400179815809657975825e-31), SC_(1.1011379385218373966166313545722611590501e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(2.7629251803648148189100116065917360197859e-31), SC_(1.1011379385218373966166313545726668072678e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1417195314167294384333217749372124671936e-12), SC_(1.1011379385226755235726402902025168245168e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.1011468290305751682029337048898692981471e-6908211) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(4.3416706074892663636733570635410547195705e-6908207) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(1.9252010268589187539067226868889925498096e-6907909) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.8313539959750791504702701948892151418320e-6904928) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.5453595080908262529160408477313938141928e-6903297) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0184045000000000000000000000000000000000e+06), SC_(1.1493684282135965301643442134948215004518e-6580243) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1f1_log_large.ipp b/src/boost/libs/math/test/hypergeometric_1f1_log_large.ipp
new file mode 100644
index 000000000..12ef5fcb1
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1f1_log_large.ipp
@@ -0,0 +1,1954 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1940-28> hypergeometric_1f1_log_large = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(-6.9593959799337045441231095099600453103878e+02) }, 
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-1.0582258691183834437184100780924111277717e+01) }, 
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+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4218811513714239120729870702232881212568e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(5.8498254438590490387472531245672132803475e+00) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(1.0735309299790018469573397242238468903064e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(-1.1417199650975984326350953779183328151703e-12), SC_(-6.6145142110337000955803835347936803724665e-02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1417195314167294384333217749372124671936e-12), SC_(6.2040121247758463368760108419204454370947e-02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.2110846000723540782928466796875000000000e-05), SC_(1.6662905454910831855579378148293906695181e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.5873352050781250000000000000000000000000e+01), SC_(7.2142370046824335144014344081843913059747e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0437607421875000000000000000000000000000e+03), SC_(5.8862435213263230248923152986353386484064e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.9787779316771129333208880070692041832001e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.4360790027023982727798684642315209684929e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4218649740795766698734674721145127327631e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-1.2389490677586051078216379271143451463248e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-5.2492822148912516066078978829267663813108e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.2110846000723540782928466796875000000000e-05), SC_(5.1152439583962101450116493340133388389215e-01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.5873352050781250000000000000000000000000e+01), SC_(7.0836111606293375431549836524486504434682e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0437607421875000000000000000000000000000e+03), SC_(5.8691663387522724169634944628608500858469e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.9768353727665370927896180238281855437842e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.4340956057262404411456377266940387887445e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4216188309653486843214711199888230096735e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-2.5805157804775040134524224780380793054397e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(-1.2110849638702347874641418457031250000000e-05), SC_(-7.8777842331911911696241280907669802568567e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.2110846000723540782928466796875000000000e-05), SC_(7.8777324347662456092639049357836234009771e-03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(4.5159467341243299096318581771879990621841e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0437607421875000000000000000000000000000e+03), SC_(5.3618245313513366523199761980769416800626e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.9109860682639906812713947671847785110166e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.6934625000000000000000000000000000000000e+04), SC_(2.3656090966812243392088146416074464735201e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.4116773552567049440641435985719082068831e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-9.8811751129461368970005256035790814172806e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(9.2174091930600389340238197774438484848463e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(3.3114946327609133192402462675258799606136e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.5647571482834212862355908369325758949510e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.6934625000000000000000000000000000000000e+04), SC_(1.9938006054359539007447396225424032965087e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.3438639628318799990444769655838299933824e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-6.4652927399464182741934385990147819853198e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(6.2705153122225795004040973788270646056695e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(2.7421661584672473457101480657595505806946e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.1322398437500000000000000000000000000000e+04), SC_(1.4382339557500690672702642748475059485834e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.6934625000000000000000000000000000000000e+04), SC_(1.8539197774338115999627942143339180821377e+05) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(2.0321546875000000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.3133777204979669846586326028932174485236e+06) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.1322402343750000000000000000000000000000e+04), SC_(-7.5365871935846400290867834254114008940452e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.0437607421875000000000000000000000000000e+03), SC_(-6.9574128294935924522353612024884748851392e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-1.0582209627360964662309549354105883595611e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.5873352050781250000000000000000000000000e+01), SC_(1.0582255443968121424917691133528179874483e+01) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0437607421875000000000000000000000000000e+03), SC_(6.9593938434137221900590997104770914834235e+02) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.1322398437500000000000000000000000000000e+04), SC_(7.5598955717465796755840139502780742412634e+03) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.6934625000000000000000000000000000000000e+04), SC_(1.1315741074738659098199284235122958050748e+04) }, 
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(1.2220855000000000000000000000000000000000e+06), SC_(1.0184045000000000000000000000000000000000e+06), SC_(7.5517427064753517663653559720945279814755e+05) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_1f1_log_large_unsolved.ipp b/src/boost/libs/math/test/hypergeometric_1f1_log_large_unsolved.ipp
new file mode 100644
index 000000000..cf8762bb1
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_1f1_log_large_unsolved.ipp
@@ -0,0 +1,42 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 28> hypergeometric_1f1_log_large_unsolved = {{
+      { SC_(-8.1472375000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(-9.2173743826070611351476246204795205014058e+02) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(-1.5873352050781250000000000000000000000000e+01), SC_(9.9962758750935854786688366779961780448550e+01) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.5614583192913363758190807218566099668686e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4674756699732914480964181735648918343295e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4653190213477956872601716084177933239422e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4654807900207498519290118195194404978877e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4659094436438859633733763292247146918226e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4659094436467223153652258071560586676152e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4654807900207494574222703816528674210724e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4653190171655496299468839490654159421025e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.4629405159202272395915678225516122681401e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.3688973133492566757820217207352000341097e+05) },
+      { SC_(-1.3547703125000000000000000000000000000000e+04), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(8.7446277169203106109796924659555060713845e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.7628686898533426371240091663512627579803e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.9048027038574218750000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6688298171828874375273861390044247551743e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.4533019566442817449569702148437500000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6666722997531120601011487507105430010096e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6668340684254033486118530729317141358950e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(-3.3155109687541623089560190279014670459804e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6672627220485394599937265979219498580831e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(3.3155100283586816511260126529122372681838e-31), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6672627220513758119855760758532938338455e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.3700637846447705214814050123095512390137e-12), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6668340684254029539801296656350641154670e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.4533015928464010357856750488281250000000e-05), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6666722955695402505125318558322967174190e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.9048019409179687500000000000000000000000e+01), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.6642929255030913499877606007957533590963e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.2525126953125000000000000000000000000000e+03), SC_(1.0184045000000000000000000000000000000000e+06), SC_(9.5701934252716927944192865356541742242546e+05) },
+      { SC_(-9.0579218750000000000000000000000000000000e+03), SC_(1.3586878906250000000000000000000000000000e+04), SC_(1.0184045000000000000000000000000000000000e+06), SC_(8.9453568573877958811748820220257536989124e+05) },
+      { SC_(9.0579179687500000000000000000000000000000e+03), SC_(-1.2220855000000000000000000000000000000000e+06), SC_(1.0184045000000000000000000000000000000000e+06), SC_(2.0766743928534209945155627434937476192183e+06) },
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.0437607421875000000000000000000000000000e+03), SC_(-4.5982546021529254789360181932356973473932e+02) },
+      { SC_(1.3547699218750000000000000000000000000000e+04), SC_(-1.2525131835937500000000000000000000000000e+03), SC_(1.5873352050781250000000000000000000000000e+01), SC_(2.4601948495381566172893072659462358596570e+02) },
+      { SC_(8.1472350000000000000000000000000000000000e+05), SC_(-1.3586878906250000000000000000000000000000e+04), SC_(1.5873352050781250000000000000000000000000e+01), SC_(-9.2075804481807222814302973318532642713970e+02) },
+}};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_2F0.ipp b/src/boost/libs/math/test/hypergeometric_2F0.ipp
new file mode 100644
index 000000000..fda443728
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0.ipp
@@ -0,0 +1,1293 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1280> hypergeometric_2F0 = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(4.3943300261077013584267012717002038584011e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(3.1288074415453579939659035904973256538749e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(2.6611745543614506068714120519075056819550e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(3.5457479850061401970225922839343737383427e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(7.7635659556434543079371866945447478779323e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(8.9371161179717812336270934717521291586710e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(1.1349416737435136788732250938876799030561e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(5.8415173440760341442711964780042686256393e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(3.4596067098813351124340440200079189674532e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(2.3038462901451313148189528672455581460301e+12) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(3.9569369804956199686427815514222403549919e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(1.9284978646136702164674383903141303554929e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(4.1625366397762522765902141066188386626434e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(4.5805805296483196422592484674884796413424e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(5.7911630751565900334275720051243482599803e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(2.8906571692330664641407549050101998647921e+16) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(1.0177920323048056161496788263320922851562e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(1.0769465120148197456728667020797729492188e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(1.2833638792021702101919800043106079101562e+01) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(1.4673048245935206068679690361022949218750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(-7.3246398303708701860159635543823242187500e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(-7.1351615862968174042180180549621582031250e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(-5.2257601012970553711056709289550781250000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(8.0237736879880685592070221900939941406250e+00) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-7.4348087510397817823104560375213623046875e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-9.2169851483204183750785887241363525390625e+00) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.0805103511793276993557810783386230468750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.0997009734232051414437592029571533203125e+01) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(8.4764777340387809090316295623779296875000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-7.4348074343934058560989797115325927734375e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-7.9784563523107863147743046283721923828125e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-9.8754991267696823342703282833099365234375e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.0078754850779660046100616455078125000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.1565976270900137024000287055969238281250e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.3109259347409533802419900894165039062500e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.2833638870735740056261420249938964843750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(1.0056168823823099955916404724121093750000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-9.2169822260730143170803785324096679687500e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-9.8754977138050890062004327774047851562500e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-1.2173363131540099857375025749206542968750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.2419564379844814538955688476562500000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.4221018050695420242846012115478515625000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.3335573940363246947526931762695312500000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.3054802286875201389193534851074218750000e+01) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-9.4079313260444905608892440795898437500000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-1.0078754062327789142727851867675781250000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-1.2419565168296685442328453063964843750000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.2670367766171693801879882812500000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.4505489495699293911457061767578125000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(1.4991508972056180937215685844421386718750e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(1.4673046359139334526844322681427001953125e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(1.1463849498613853938877582550048828125000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.2944722175598144531250000000000000000000e-01), SC_(-1.0805098427759730839170515537261962890625e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.7001700401306152343750000000000000000000e-01), SC_(-1.1565972820693787070922553539276123046875e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(8.1158375740051269531250000000000000000000e-01), SC_(-1.4221015849043396883644163608551025390625e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(8.2675170898437500000000000000000000000000e-01), SC_(-1.4505486341891810297966003417968750000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(9.3773555755615234375000000000000000000000e-01), SC_(-1.6586955940925690811127424240112304687500e+01) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F0_half.ipp b/src/boost/libs/math/test/hypergeometric_2F0_half.ipp
new file mode 100644
index 000000000..7b801653d
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0_half.ipp
@@ -0,0 +1,165 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 152> hypergeometric_2F0_half = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-5.2032157897563382410160422580627156030356e+27) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-5.8552438403993540075445057576807515425389e+25) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(1.8536215342403860903873766878985845837896e+26) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.8933877135654357862948257668990833347521e+29) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(5.7029786962671797374410568316289974479955e+29) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(1.7256686022877808381153517416629897065172e+31) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.4036795852930798689268880646401742536618e+31) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.9500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.3108208371013991143749750060686093879128e+32) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(2.2261151553219849602774257441342943187279e+26) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(1.0026668728373103856616637520545354803538e+26) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-2.8013886214392444940744423533118582725931e+24) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(2.7177660267742394310298032400362721880877e+27) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(7.7204232467149010826926166227567951910332e+27) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(1.9504360238237116536694663721570401400599e+29) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.6696655078411082966297611860612782820774e+29) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.8500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.2781486793724450077029730324854395951302e+30) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-5.4272935692950617393840572649372043642952e+24) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-2.9787739478244595838217239400633538236065e+24) },
+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(4.1203884870112705735322844015795179077841e+22) },
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+      { SC_(-1.8000000000000000000000000000000000000000e+01), SC_(-1.7500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.3609113476752708339828643717700228941000e+28) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(1.1656421121187607877342422140840569562187e+23) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(7.0021320491460322117459022932692503370530e+22) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(-5.5188743519606794936065870728126281186279e+20) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(6.5095979752995215016570532743100421867381e+23) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.6453391563790413040691524808609928654394e+24) },
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+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(3.8334681731758122408642315689935298949643e+25) },
+      { SC_(-1.7000000000000000000000000000000000000000e+01), SC_(-1.6500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.5788906438618455324686375468189779687535e+26) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(-2.4230373655872434697755011822115451271442e+21) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(-1.5446221588026610617256990311676009383263e+21) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(5.2039179437873750251202282607115305564081e+18) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.0923380584793642789134552475058686982130e+22) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(3.3500852584838867187500000000000000000000e+00), SC_(2.6047856302255220301623013289534164418422e+22) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.0579185485839843750000000000000000000000e+00), SC_(3.8370314351121905972658449085955230994730e+23) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.1337585449218750000000000000000000000000e+00), SC_(4.9844221333558154795317249715123383281341e+23) },
+      { SC_(-1.6000000000000000000000000000000000000000e+01), SC_(-1.5500000000000000000000000000000000000000e+01), SC_(4.6886768341064453125000000000000000000000e+00), SC_(2.9781830965740745910605500904767647560904e+24) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-3.7301321029663085937500000000000000000000e+00), SC_(5.0644424342158487881294138597841454452924e+19) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-3.6452302932739257812500000000000000000000e+00), SC_(3.3812918660147447256197677418883785024773e+19) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(-2.7896595001220703125000000000000000000000e+00), SC_(4.4188764950171470672253965759049069766095e+16) },
+      { SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-1.4500000000000000000000000000000000000000e+01), SC_(3.1472368240356445312500000000000000000000e+00), SC_(1.9428885513822720141998689138316087746558e+20) },
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+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(3.3500852584838867187500000000000000000000e+00), SC_(1.9467559204784947723965160548686981201172e+01) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(4.0579185485839843750000000000000000000000e+00), SC_(2.5523782855958415893837809562683105468750e+01) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(4.1337585449218750000000000000000000000000e+00), SC_(2.6217245415551587939262390136718750000000e+01) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(-1.5000000000000000000000000000000000000000e+00), SC_(4.6886768341064453125000000000000000000000e+00), SC_(3.1553798343334165110718458890914916992188e+01) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F0_integer_a2.ipp b/src/boost/libs/math/test/hypergeometric_2F0_integer_a2.ipp
new file mode 100644
index 000000000..aaad5ac91
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0_integer_a2.ipp
@@ -0,0 +1,1293 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1280> hypergeometric_2F0_integer_a2 = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-1.0672900060657104357920671728509291419998e+23) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-7.3767594514781772314601935827275945493626e+22) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-9.5092070569484559766150370105508596918823e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(2.5177888870239257812500000000000000000000e+00), SC_(5.2174486913739279808251116901253159504247e+22) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.2652476435582852324450311941587499913699e+23) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(3.2463350296020507812500000000000000000000e+00), SC_(1.9492297788193122811816725603041387758467e+24) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+00), SC_(2.5416706034685042902352447049436372084120e+24) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.5000000000000000000000000000000000000000e+01), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.5538774675693139736174911420140527243183e+25) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.8884900991760422589670576028653106986274e+19) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.4164454455294844877096811983049115847036e+19) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(4.8945496364852070534701282070132162437227e+17) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(2.5177888870239257812500000000000000000000e+00), SC_(6.5014699496890839951235223735579618515875e+18) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.3357189592912487554315796346218304264309e+19) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(3.2463350296020507812500000000000000000000e+00), SC_(1.2293923093065599369879451350041333365521e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(3.3070068359375000000000000000000000000000e+00), SC_(1.5245120015742543962437164119932506535222e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.2000000000000000000000000000000000000000e+01), SC_(3.7509422302246093750000000000000000000000e+00), SC_(6.6088879563133865210670390979260896485479e+20) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-8.8425953060420154833993411272730660678487e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-7.1436549989491750035605952961778943138806e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-5.9174606417364359388105484910213013262885e+13) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(3.3128850525298189096012340253923946489170e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(5.7133634218586130111595810716488098772144e+14) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(3.0608106964521241025041805687473523741140e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(3.6011666793537281532382569594050661142388e+15) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-9.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.0903317443468622432096318575132408931104e+16) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.7199394384674321435196867758494034592216e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.4932067012711910484527732333733778684455e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(2.8717530740687748540092889759692870664006e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(8.3111645382990916866665153024848740352576e+09) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.1977838588295361834821965872277174858023e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(3.6887766872259548183263337516867350074741e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(4.1131688580795421950193615488102514486353e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-6.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(8.6365715048400112779561671093235137461263e+10) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-1.7178670442609116002846691984018434595782e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-1.6010863537374455557187741261415681037761e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-7.0484076398515507758446574371191672980785e+04) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(1.1655152160343470960626038879226484823448e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.4002219122542500406231741338913820982270e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(2.4622080358103474464361720697169744198618e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(2.6004496991143650666344910860061645507812e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-3.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(3.7724044924527436003858227309137873817235e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(2.3890772190925794881275415673736197596685e+30) },
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+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(3.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(4.1037415454609171633490749025646517305767e+28) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(9.9523181915283203125000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(9.7485532760620117187500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(7.6951828002929687500000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(-6.5533666610717773437500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(-7.0402040481567382812500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(-8.7390050888061523437500000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(-8.9210205078125000000000000000000000000000e+00) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(3.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(-1.0252826690673828125000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.8904636383056640625000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.8497106552124023437500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(-2.2317276000976562500000000000000000000000e+00), SC_(1.4390365600585937500000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(2.5177888870239257812500000000000000000000e+00), SC_(-1.4106733322143554687500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(2.6800680160522460937500000000000000000000e+00), SC_(-1.5080408096313476562500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(3.2463350296020507812500000000000000000000e+00), SC_(-1.8478010177612304687500000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(3.3070068359375000000000000000000000000000e+00), SC_(-1.8842041015625000000000000000000000000000e+01) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(6.0000000000000000000000000000000000000000e+00), SC_(3.7509422302246093750000000000000000000000e+00), SC_(-2.1505653381347656250000000000000000000000e+01) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F0_large_z.ipp b/src/boost/libs/math/test/hypergeometric_2F0_large_z.ipp
new file mode 100644
index 000000000..5c74426e2
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F0_large_z.ipp
@@ -0,0 +1,1293 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 4>, 1280> hypergeometric_2F0_large_z = {{
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.7944300763794837863460239247756117518755e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-1.7730673696923861041007502200748676573927e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-9.0921796163704784864586001035922757860434e+36) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-5.7638639558423021936076204730400653646627e+37) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.0425668948456725779986744143950020594293e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-9.8504333314274807865259455186489732827178e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-1.4317368570137309382413386848406749038718e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-1.8192277482336332563218506313647249188109e+41) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-7.2262207783433648552660655669784444778209e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-4.5823620266905623948427865564377976340992e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.3285081625635161726173588864732669962497e+37) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-1.5533109844542845227235204230680068350628e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-5.4933821858393544687729628915099482836408e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-2.6375615381809845746841440789953368282710e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-3.8323652301886246427403013713127575555042e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-4.8599944877342186748694654929258339958728e+41) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.8716978456093984398247623098672838823461e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(1.8168553736072875147259753961126621437100e+38) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(8.9448265778352749829816029551298098882993e+35) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(7.4847146086157560464156291487747892920351e+36) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.6315870204477602208645777083521336902579e+37) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(1.2436111965988218614495735796017739361760e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(1.8044606729604574740717011259735818412287e+39) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.2682658308710359732773552496604116676232e+40) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7779632599418474050700511881908321699146e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.3853954363684136777885413229799885732859e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(1.1427189695334251294303519092977806427252e+51) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(1.1871666272488808307551639477643342883521e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(4.1488184952583330173035404189141350897413e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(1.9286882519546404160671646687237689098231e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.7945052699602559354115005719941362196964e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.4811495582550017278736154506667571551805e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(8.1982744321389187998871443348077272968197e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(5.1762821545761406086040706083394741717379e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.4791366084937352554024682129405527691489e+51) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.5801724721174097905965843957915856464825e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(9.0165295115447242524512829162873989566707e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(4.1909959406283534190598721361715085027485e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(6.0723241720148004855805985369382781491154e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(7.5637964629723774119403803425479416656861e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(9.7543483215727200797688436041581248148557e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(6.1584488195782620144388101946504927848031e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.9474867942990096882391841691520441140900e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.0848076844765709021638805141841326903347e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(1.0778284895581670226335058428052281204770e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(5.0077250112799095873804094299108763597159e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(7.2554097144075584193678437985617685500917e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(9.0353295386686156149241387243537547000249e+56) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(1.2487137102826533651051972394309303242305e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(7.8837667617236074095158342975156836975675e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.7729825828683682178908917773677014504330e+52) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(3.9509198224645316365146835447026840845431e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(1.3804256784058872917111378376923021496732e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(6.4133592953438279378661020893617283935641e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(9.2919198329325201382372525431060519002833e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(1.1571175015314116526126215645190219486129e+57) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(6.9427463966631748846751917555949092534524e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(4.3831591609428628438113451635366227618720e+55) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.0967027866960631846866368889525310491820e+53) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.2037879933563499406600100625563635554703e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(7.6990744768226374999592012702870174966964e+54) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.5759076526542959063672933569133129140843e+56) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(5.1807823149628708989519276257780758012910e+56) },
+      { SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(6.4505797918085757831821382970855010880519e+57) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-3.3309357090999233381454577973254786538826e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.1697222179121536550876160452237554269154e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-1.5314589551775304257634979267477551583855e+35) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(7.6628431355487991531451183573792218594938e+35) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.5091452925131940492475300395004423380456e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(9.7253728252366646279087800497090806688028e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(1.3857905896014345301439700168830431367652e+38) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(1.5438681755211611981253325902772790066482e+39) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-7.7149844410092196809591260253926500792087e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-5.0138881752515785070899729374113784540291e+37) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-3.4027427793632579567269504284009889277520e+35) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(1.7864834952549811206314753899671992683216e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(5.9399368456342062034142346698956543086563e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.3641331432749951987415449152931731613311e+38) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.3736219691786304542295747182602620277199e+38) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.7841799906294971126164280560725413187546e+39) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(1.6534494409138193443820385553328129651784e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(1.0707300271651899313255004197853950836026e+36) },
+      { SC_(-1.9000000000000000000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(6.9116002366331199736209529284476583813478e+33) },
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+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(1.7754363723199178206663129131470668653492e+05) },
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+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(1.4893781409954470189543604462332343496556e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.1871692073451287792025790322780233465583e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.2698603544683426245428246349755685429272e+05) },
+      { SC_(-2.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(2.9215938283817103738008461521428321683302e+05) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-3.3293322367526707239449024200439453125000e+02) },
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+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.7106717090378515422344207763671875000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(4.2074527242133626714348793029785156250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-3.2533254514061263762414455413818359375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-3.1790492119494592770934104919433593750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-2.4305488724814495071768760681152343750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.7633758883326663635671138763427734375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.9408394665172090753912925720214843750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(3.5600914290247601456940174102783203125000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(3.6264404495269991457462310791015625000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(4.1119141956715611740946769714355468750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(-2.4873914170259376987814903259277343750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(-2.4305485290975775569677352905273437500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(-1.8577284560573752969503402709960937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(2.1171319467708235606551170349121093750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(2.2529431073775049299001693725585937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(2.7268506471469299867749214172363281250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(2.7776269110525026917457580566406250000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(3.1491552752524148672819137573242187500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(2.8275059469984262250363826751708984375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.7633769627747824415564537048339843750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.1171330655034398660063743591308593750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.3672231900304905138909816741943359375000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.5204425652831560000777244567871093750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-3.0550953644097899086773395538330078125000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-3.1123801074200309813022613525390625000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.2588947296142578125000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-3.5315308134228689596056938171386718750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.0091022812915616668760776519775390625000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(2.9408400002174312248826026916503906250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.2529438313940772786736488342285156250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-2.5204420386246056295931339263916015625000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-2.6835368417954305186867713928222656250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-3.2526495463374885730445384979248046875000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-3.3136264552338980138301849365234375000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.3400341033935546875000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-3.7597926256788196042180061340332031250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.6427770302363205701112747192382812500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.5600917386193759739398956298828125000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.7268512663361616432666778564453125000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-3.0550944356259424239397048950195312500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-3.2526492367428727447986602783203125000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-3.9420087072660680860280990600585937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-4.0158693139534443616867065429687500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6231674194335937500000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-4.5563051056140102446079254150390625000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(3.7106713936571031808853149414062500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(3.6264407649077475070953369140625000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(2.7776275418139994144439697265625000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-3.1123791612777858972549438476562500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-3.3136261398531496524810791015625000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-4.0158693139534443616867065429687500000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-4.0911103298515081405639648437500000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-4.6416465333290398120880126953125000000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.2380790710449218750000000000000000000000e+01), SC_(4.2074517973227193579077720642089843750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-2.1871383666992187500000000000000000000000e+01), SC_(4.1119139971712138503789901733398437500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(-1.6737960815429687500000000000000000000000e+01), SC_(3.1491555650194641202688217163085937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.8883415222167968750000000000000000000000e+01), SC_(-3.5315292600396787747740745544433593750000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.0100509643554687500000000000000000000000e+01), SC_(-3.7597917567787226289510726928710937500000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4347511291503906250000000000000000000000e+01), SC_(-4.5563044864247785881161689758300781250000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.4802551269531250000000000000000000000000e+01), SC_(-4.6416459025675430893898010253906250000000e+02) },
+      { SC_(-1.0000000000000000000000000000000000000000e+00), SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.8132064819335937500000000000000000000000e+01), SC_(-5.2660864245600532740354537963867187500000e+02) }
+   }};
+//#undef SC_
diff --git a/src/boost/libs/math/test/hypergeometric_2F1.ipp b/src/boost/libs/math/test/hypergeometric_2F1.ipp
new file mode 100644
index 000000000..67794b3e5
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F1.ipp
@@ -0,0 +1,515 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 500> hypergeometric_2F1 = {{
+      { SC_(-9.9895538330078125000000000000000000000000e+01), SC_(-9.3285552978515625000000000000000000000000e+01), SC_(7.3087707519531250000000000000000000000000e+01), SC_(-1.8142122030258178710937500000000000000000e-01), SC_(6.5891986527929449267593715511756563448513e-15) }, 
+      { SC_(-9.9073181152343750000000000000000000000000e+01), SC_(-9.3136535644531250000000000000000000000000e+01), SC_(5.4982086181640625000000000000000000000000e+01), SC_(9.5400404930114746093750000000000000000000e-01), SC_(1.1007633109021571039219928777818293629102e+28) }, 
+      { SC_(-9.7619598388671875000000000000000000000000e+01), SC_(4.5390945434570312500000000000000000000000e+01), SC_(-3.2575469970703125000000000000000000000000e+01), SC_(-2.2286039590835571289062500000000000000000e-01), SC_(-6.4789723389675742353349389221567944679928e+38) }, 
+      { SC_(-9.6902587890625000000000000000000000000000e+01), SC_(6.3223403930664062500000000000000000000000e+01), SC_(9.6812744140625000000000000000000000000000e+01), SC_(-4.1322350502014160156250000000000000000000e-01), SC_(3.2079560298672561791430457929878905585658e+10) }, 
+      { SC_(-9.6603424072265625000000000000000000000000e+01), SC_(-2.0321739196777343750000000000000000000000e+01), SC_(-7.5828094482421875000000000000000000000000e+01), SC_(-9.2019414901733398437500000000000000000000e-01), SC_(8.4156847340696781722447707160754173280841e+06) }, 
+      { SC_(-9.5892852783203125000000000000000000000000e+01), SC_(-9.6531707763671875000000000000000000000000e+01), SC_(8.4735107421875000000000000000000000000000e+01), SC_(-7.3016166687011718750000000000000000000000e-01), SC_(-4.4717807146118951718858040781837872825985e-16) }, 
+      { SC_(-9.4954376220703125000000000000000000000000e+01), SC_(-5.9686599731445312500000000000000000000000e+01), SC_(6.8441314697265625000000000000000000000000e+01), SC_(-9.4900083541870117187500000000000000000000e-01), SC_(-1.7276145800358599599760958115736468880647e-11) }, 
+      { SC_(-9.3891815185546875000000000000000000000000e+01), SC_(-1.5204330444335937500000000000000000000000e+01), SC_(4.8814849853515625000000000000000000000000e+01), SC_(3.7960255146026611328125000000000000000000e-01), SC_(2.4552032940427998541423531520934032344423e+03) }, 
+      { SC_(-9.3601806640625000000000000000000000000000e+01), SC_(-9.5872192382812500000000000000000000000000e+00), SC_(2.2942687988281250000000000000000000000000e+01), SC_(-2.9971241950988769531250000000000000000000e-02), SC_(2.7383928273420403328458561650200080754586e-01) }, 
+      { SC_(-9.3479858398437500000000000000000000000000e+01), SC_(-8.7491363525390625000000000000000000000000e+01), SC_(1.2239959716796875000000000000000000000000e+01), SC_(-7.3687696456909179687500000000000000000000e-01), SC_(1.5973694221369750316833507490060101743881e+08) }, 
+      { SC_(-9.2452239990234375000000000000000000000000e+01), SC_(7.6793701171875000000000000000000000000000e+01), SC_(7.7033599853515625000000000000000000000000e+01), SC_(9.1844320297241210937500000000000000000000e-01), SC_(4.2508459032690447851029931141763191686420e-49) }, 
+      { SC_(-9.1513793945312500000000000000000000000000e+01), SC_(7.4361022949218750000000000000000000000000e+01), SC_(-8.5710906982421875000000000000000000000000e+01), SC_(8.6920523643493652343750000000000000000000e-01), SC_(1.5597155522468405412722593998443708684739e+62) }, 
+      { SC_(-9.1469543457031250000000000000000000000000e+01), SC_(3.7243209838867187500000000000000000000000e+01), SC_(2.7039588928222656250000000000000000000000e+01), SC_(-5.3746747970581054687500000000000000000000e-01), SC_(1.9880343033721299184057983616668235260257e+20) }, 
+      { SC_(-9.1395263671875000000000000000000000000000e+01), SC_(8.1686706542968750000000000000000000000000e+01), SC_(-6.6201995849609375000000000000000000000000e+01), SC_(6.1827445030212402343750000000000000000000e-01), SC_(1.5177192508688742444864029168560550139867e+38) }, 
+      { SC_(-9.1109191894531250000000000000000000000000e+01), SC_(-4.6822494506835937500000000000000000000000e+01), SC_(5.0986648559570312500000000000000000000000e+01), SC_(8.3877134323120117187500000000000000000000e-01), SC_(8.7682696840405655306109200648215293456224e+14) }, 
+      { SC_(-9.0310546875000000000000000000000000000000e+01), SC_(6.0442535400390625000000000000000000000000e+01), SC_(3.3583221435546875000000000000000000000000e+01), SC_(-3.3563292026519775390625000000000000000000e-01), SC_(4.0487268295423261389483401128099493869350e+16) }, 
+      { SC_(-8.9464599609375000000000000000000000000000e+01), SC_(8.9315429687500000000000000000000000000000e+01), SC_(4.7571624755859375000000000000000000000000e+01), SC_(-6.6660356521606445312500000000000000000000e-01), SC_(2.5114952432008773418647344036287653320834e+28) }, 
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+      { SC_(8.6802124023437500000000000000000000000000e+01), SC_(9.2993255615234375000000000000000000000000e+01), SC_(-7.4018768310546875000000000000000000000000e+01), SC_(-6.9112324714660644531250000000000000000000e-01), SC_(-9.2183798012997141026454326490113581951846e+14) }, 
+      { SC_(8.7146179199218750000000000000000000000000e+01), SC_(5.2928741455078125000000000000000000000000e+01), SC_(-8.4227294921875000000000000000000000000000e+00), SC_(-1.7563480138778686523437500000000000000000e-01), SC_(1.7517228741465218826611446054644016854078e+03) }, 
+      { SC_(8.7828338623046875000000000000000000000000e+01), SC_(-8.8260314941406250000000000000000000000000e+01), SC_(-3.9738784790039062500000000000000000000000e+01), SC_(-1.5718632936477661132812500000000000000000e-01), SC_(9.7994331612602516686966240369378499064496e+35) }, 
+      { SC_(8.7965881347656250000000000000000000000000e+01), SC_(-5.6572280883789062500000000000000000000000e+01), SC_(2.9110366821289062500000000000000000000000e+01), SC_(9.2990422248840332031250000000000000000000e-01), SC_(2.0303059944848684966786324944507674434562e-22) }, 
+      { SC_(8.8410095214843750000000000000000000000000e+01), SC_(9.0988677978515625000000000000000000000000e+01), SC_(9.1226898193359375000000000000000000000000e+01), SC_(3.0393731594085693359375000000000000000000e-01), SC_(7.4983777557141289456621410128966683723973e+13) }, 
+      //{ SC_(8.9586608886718750000000000000000000000000e+01), SC_(6.7183502197265625000000000000000000000000e+01), SC_(-8.3585784912109375000000000000000000000000e+01), SC_(9.0174841880798339843750000000000000000000e-01), SC_(5.1110361935787779755649743658291218070866e+350) }, 
+      { SC_(9.0044403076171875000000000000000000000000e+01), SC_(-1.8821868896484375000000000000000000000000e+00), SC_(-9.3110809326171875000000000000000000000000e+01), SC_(3.2721102237701416015625000000000000000000e-01), SC_(4.5371906132046220195252707384957406962365e+35) }, 
+      { SC_(9.0178863525390625000000000000000000000000e+01), SC_(9.9988311767578125000000000000000000000000e+01), SC_(-1.1207168579101562500000000000000000000000e+01), SC_(-5.9987092018127441406250000000000000000000e-01), SC_(1.4332663094452325753241597827007446643821e-06) }, 
+      { SC_(9.0326080322265625000000000000000000000000e+01), SC_(7.5610107421875000000000000000000000000000e+01), SC_(8.4066406250000000000000000000000000000000e+01), SC_(-2.1506184339523315429687500000000000000000e-01), SC_(1.3566609825826061340135877160335552994047e-07) }, 
+      { SC_(9.0691406250000000000000000000000000000000e+01), SC_(3.3133880615234375000000000000000000000000e+01), SC_(8.1768188476562500000000000000000000000000e+00), SC_(-8.8031888008117675781250000000000000000000e-03), SC_(2.0520303039422782817672520764475530800339e-02) }, 
+      { SC_(9.1433380126953125000000000000000000000000e+01), SC_(-7.8027648925781250000000000000000000000000e+01), SC_(-2.9248733520507812500000000000000000000000e+00), SC_(5.9621167182922363281250000000000000000000e-01), SC_(4.6730186451327777177680697918962959070677e+09) }, 
+      { SC_(9.1501373291015625000000000000000000000000e+01), SC_(9.9292266845703125000000000000000000000000e+01), SC_(9.2977691650390625000000000000000000000000e+01), SC_(9.3538975715637207031250000000000000000000e-01), SC_(2.1454839500458033720680018486938200761167e+116) }, 
+      { SC_(9.1948791503906250000000000000000000000000e+01), SC_(1.4750930786132812500000000000000000000000e+01), SC_(-3.1922851562500000000000000000000000000000e+01), SC_(7.5351476669311523437500000000000000000000e-01), SC_(2.2935885921742708893534318418115404057980e+130) }, 
+      { SC_(9.2617706298828125000000000000000000000000e+01), SC_(2.1185638427734375000000000000000000000000e+01), SC_(9.3611450195312500000000000000000000000000e+00), SC_(-5.4689741134643554687500000000000000000000e-01), SC_(1.1255862572841655501354684265291378622762e-18) }, 
+      { SC_(9.2884521484375000000000000000000000000000e+01), SC_(-5.4916336059570312500000000000000000000000e+01), SC_(-1.3503005981445312500000000000000000000000e+01), SC_(-4.3040895462036132812500000000000000000000e-01), SC_(3.0151790012067127864829767717561251297802e+45) }, 
+      { SC_(9.4594909667968750000000000000000000000000e+01), SC_(-7.1556579589843750000000000000000000000000e+01), SC_(2.9798294067382812500000000000000000000000e+01), SC_(2.8636205196380615234375000000000000000000e-01), SC_(7.2039293881713135366452260203106085749338e-20) }, 
+      { SC_(9.5736114501953125000000000000000000000000e+01), SC_(-5.3519927978515625000000000000000000000000e+01), SC_(4.2538894653320312500000000000000000000000e+01), SC_(4.9380838871002197265625000000000000000000e-01), SC_(1.3274237894747251485456216220236304092055e-22) }, 
+      { SC_(9.6879638671875000000000000000000000000000e+01), SC_(8.3203552246093750000000000000000000000000e+01), SC_(7.1787750244140625000000000000000000000000e+01), SC_(-6.7365944385528564453125000000000000000000e-02), SC_(6.5291192310861813016026415306261568839384e-04) }, 
+      { SC_(9.7586944580078125000000000000000000000000e+01), SC_(7.5212249755859375000000000000000000000000e+00), SC_(-6.5913604736328125000000000000000000000000e+01), SC_(8.2627701759338378906250000000000000000000e-01), SC_(1.2841453106427416732041190220022515999761e+185) }, 
+      { SC_(9.7683563232421875000000000000000000000000e+01), SC_(4.3197174072265625000000000000000000000000e+01), SC_(7.9964141845703125000000000000000000000000e+00), SC_(-1.2916326522827148437500000000000000000000e-02), SC_(-5.6394291658700497271627531058640783271757e-04) }, 
+      { SC_(9.9077941894531250000000000000000000000000e+01), SC_(4.4081039428710937500000000000000000000000e+01), SC_(-3.3581436157226562500000000000000000000000e+01), SC_(1.8215370178222656250000000000000000000000e-01), SC_(2.6061694718239368533142282610016493548641e+52) }, 
+      { SC_(9.9816070556640625000000000000000000000000e+01), SC_(3.4842590332031250000000000000000000000000e+01), SC_(-6.5775787353515625000000000000000000000000e+01), SC_(4.7859513759613037109375000000000000000000e-01), SC_(7.8419089341931209199194984266724459574651e+118) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_2F2.ipp b/src/boost/libs/math/test/hypergeometric_2F2.ipp
new file mode 100644
index 000000000..46fd170d7
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_2F2.ipp
@@ -0,0 +1,239 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 6>, 225> hypergeometric_2F2 = {{
+      { SC_(-4.6568273925781250000000000000000000000000e+02), SC_(2.7491040039062500000000000000000000000000e+02), SC_(4.7700195312500000000000000000000000000000e+02), SC_(3.1730322265625000000000000000000000000000e+02), SC_(-1.3681353759765625000000000000000000000000e+02), SC_(1.8090668841695962735121297629318499805194e+42) }, 
+      { SC_(-4.4878356933593750000000000000000000000000e+02), SC_(2.9519995117187500000000000000000000000000e+02), SC_(-4.6355883789062500000000000000000000000000e+02), SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(-6.8305703866855163475715684044172076664493e+186) }, 
+      { SC_(-4.2414575195312500000000000000000000000000e+02), SC_(-9.5791503906250000000000000000000000000000e+01), SC_(-4.4604992675781250000000000000000000000000e+02), SC_(-1.4723760986328125000000000000000000000000e+02), SC_(3.0797546386718750000000000000000000000000e+01), SC_(9.2516788163653291402462434856492902332269e+07) }, 
+      { SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(1.5352181353921602046709701790928284442327e+88) }, 
+      { SC_(-3.9334729003906250000000000000000000000000e+02), SC_(-1.4558105468750000000000000000000000000000e+00), SC_(4.6189807128906250000000000000000000000000e+02), SC_(4.7992565917968750000000000000000000000000e+02), SC_(-4.9536584472656250000000000000000000000000e+02), SC_(4.1127664690960577724128168628565875268818e-02) }, 
+      { SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(2.9810583496093750000000000000000000000000e+02), SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(-3.2405423559105211621315714057367775071572e-10) }, 
+      { SC_(-3.8258239746093750000000000000000000000000e+02), SC_(-1.7503649902343750000000000000000000000000e+02), SC_(-2.0332415771484375000000000000000000000000e+02), SC_(1.5577990722656250000000000000000000000000e+02), SC_(-1.8122167968750000000000000000000000000000e+02), SC_(3.8354909652295819833106476659021099079105e+82) }, 
+      { SC_(-3.7009387207031250000000000000000000000000e+02), SC_(-3.4556164550781250000000000000000000000000e+02), SC_(6.8823608398437500000000000000000000000000e+01), SC_(-1.0509176635742187500000000000000000000000e+02), SC_(-3.0609375000000000000000000000000000000000e+01), SC_(3.1341617923636314523220451439038061044124e+103) }, 
+      { SC_(-3.6802673339843750000000000000000000000000e+02), SC_(-9.6985168457031250000000000000000000000000e+00), SC_(4.4205053710937500000000000000000000000000e+02), SC_(4.5494335937500000000000000000000000000000e+02), SC_(4.5613452148437500000000000000000000000000e+02), SC_(3.3844509595908982340003058676574433591601e+02) }, 
+      { SC_(-3.6393151855468750000000000000000000000000e+02), SC_(3.0211145019531250000000000000000000000000e+02), SC_(3.6929211425781250000000000000000000000000e+02), SC_(-4.2244299316406250000000000000000000000000e+02), SC_(7.9704589843750000000000000000000000000000e+01), SC_(2.9973712146869363588906408000435531769989e+24) }, 
+      { SC_(-3.4238696289062500000000000000000000000000e+02), SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(4.5716699218750000000000000000000000000000e+02), SC_(3.5349925140498271067901257770469369222422e-75) }, 
+      { SC_(-3.3781774902343750000000000000000000000000e+02), SC_(4.2749279785156250000000000000000000000000e+02), SC_(2.9428454589843750000000000000000000000000e+02), SC_(-6.3882446289062500000000000000000000000000e+01), SC_(-1.8878497314453125000000000000000000000000e+02), SC_(6.5059718319095428358961211161563226511058e+261) }, 
+      { SC_(-3.3101000976562500000000000000000000000000e+02), SC_(3.0913720703125000000000000000000000000000e+02), SC_(1.4911547851562500000000000000000000000000e+02), SC_(-2.4170410156250000000000000000000000000000e+02), SC_(2.3172241210937500000000000000000000000000e+02), SC_(-1.9036391377806637778714360115412330090828e+199) }, 
+      { SC_(-3.1648889160156250000000000000000000000000e+02), SC_(-1.1428948974609375000000000000000000000000e+02), SC_(-1.3151544189453125000000000000000000000000e+02), SC_(-1.5607025146484375000000000000000000000000e+02), SC_(1.2561859130859375000000000000000000000000e+02), SC_(-2.2647803812666968435830709155055083167865e+102) }, 
+      { SC_(-3.0523571777343750000000000000000000000000e+02), SC_(-5.8776519775390625000000000000000000000000e+01), SC_(-2.7407824707031250000000000000000000000000e+02), SC_(-3.5217102050781250000000000000000000000000e+02), SC_(-3.2929199218750000000000000000000000000000e+02), SC_(4.9263998797519049365001615903230659768340e+57) }, 
+      { SC_(-3.0044885253906250000000000000000000000000e+02), SC_(1.3249511718750000000000000000000000000000e+01), SC_(-3.6199865722656250000000000000000000000000e+02), SC_(-9.8191986083984375000000000000000000000000e+01), SC_(-1.1766705322265625000000000000000000000000e+02), SC_(-1.1402440428266599406329845908011742949449e+16) }, 
+      { SC_(-3.0012719726562500000000000000000000000000e+02), SC_(3.2825561523437500000000000000000000000000e+01), SC_(4.4892504882812500000000000000000000000000e+02), SC_(-1.4927288818359375000000000000000000000000e+02), SC_(4.9010998535156250000000000000000000000000e+02), SC_(-8.2802792883592327098743193151793189562668e+51) }, 
+      { SC_(-2.9225769042968750000000000000000000000000e+02), SC_(4.0138000488281250000000000000000000000000e+01), SC_(-1.9875366210937500000000000000000000000000e+02), SC_(-4.8154919433593750000000000000000000000000e+02), SC_(-2.9076660156250000000000000000000000000000e+01), SC_(4.3023564115466799741161627232928714247688e+01) }, 
+      { SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(1.7873510742187500000000000000000000000000e+02), SC_(-1.0126147460937500000000000000000000000000e+02), SC_(7.6335788596686159020335593785181427594248e+78) }, 
+      { SC_(-2.6522009277343750000000000000000000000000e+02), SC_(5.2881164550781250000000000000000000000000e+01), SC_(-1.4684143066406250000000000000000000000000e+02), SC_(-4.4684753417968750000000000000000000000000e+02), SC_(3.2119396972656250000000000000000000000000e+02), SC_(2.8099938553256444419794417735331437931667e+303) }, 
+      { SC_(-2.6049755859375000000000000000000000000000e+02), SC_(-2.7233569335937500000000000000000000000000e+02), SC_(2.9965319824218750000000000000000000000000e+02), SC_(-6.4301300048828125000000000000000000000000e+01), SC_(-2.6984924316406250000000000000000000000000e+01), SC_(-8.0107317185818721255825742655375983959701e+38) }, 
+      { SC_(-2.4704406738281250000000000000000000000000e+02), SC_(-3.1609228515625000000000000000000000000000e+02), SC_(4.7709960937500000000000000000000000000000e+00), SC_(-2.6004748535156250000000000000000000000000e+02), SC_(3.2260498046875000000000000000000000000000e+02), SC_(-1.1836297998213733058326723098984475672672e+166) }, 
+      { SC_(-2.2724700927734375000000000000000000000000e+02), SC_(-9.6087860107421875000000000000000000000000e+01), SC_(-7.5580139160156250000000000000000000000000e+00), SC_(-4.0354553222656250000000000000000000000000e+02), SC_(-2.7658007812500000000000000000000000000000e+02), SC_(2.3408505139066532271316459421630307869796e+87) }, 
+      { SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.5509802246093750000000000000000000000000e+02), SC_(8.6822023586943617781984796912183537053591e+30) }, 
+      { SC_(-2.1837268066406250000000000000000000000000e+02), SC_(-2.6271643066406250000000000000000000000000e+02), SC_(4.6864038085937500000000000000000000000000e+02), SC_(-4.1151153564453125000000000000000000000000e+01), SC_(-2.8622729492187500000000000000000000000000e+02), SC_(3.7567873848946006245925120666711493927607e+88) }, 
+      { SC_(-2.1416101074218750000000000000000000000000e+02), SC_(1.7981976318359375000000000000000000000000e+02), SC_(2.5720019531250000000000000000000000000000e+02), SC_(-1.0767953491210937500000000000000000000000e+02), SC_(2.5372912597656250000000000000000000000000e+02), SC_(1.3561316373323201227118432798149688806052e+109) }, 
+      { SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(-4.8646093750000000000000000000000000000000e+02), SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(6.1626294987323710336471221352110848444241e+23) }, 
+      { SC_(-1.9817272949218750000000000000000000000000e+02), SC_(4.4478723144531250000000000000000000000000e+02), SC_(-4.5205578613281250000000000000000000000000e+02), SC_(-9.1358947753906250000000000000000000000000e+00), SC_(-2.5215240478515625000000000000000000000000e+02), SC_(-7.3551112059747611758081912144782250496691e+132) }, 
+      { SC_(-1.9365051269531250000000000000000000000000e+02), SC_(-3.9193811035156250000000000000000000000000e+02), SC_(8.5086669921875000000000000000000000000000e+00), SC_(-1.0641015625000000000000000000000000000000e+02), SC_(1.0771575927734375000000000000000000000000e+01), SC_(-4.1384279327506017243647033872337149714861e+91) }, 
+      { SC_(-1.8889770507812500000000000000000000000000e+02), SC_(-4.1017687988281250000000000000000000000000e+02), SC_(4.2337963867187500000000000000000000000000e+02), SC_(1.4455053710937500000000000000000000000000e+02), SC_(-6.9792602539062500000000000000000000000000e+01), SC_(-2.2787574128602828267604156433544903254627e-33) }, 
+      { SC_(-1.7748925781250000000000000000000000000000e+02), SC_(-4.8459655761718750000000000000000000000000e+02), SC_(-9.5018615722656250000000000000000000000000e+01), SC_(-4.5697619628906250000000000000000000000000e+02), SC_(4.0843359375000000000000000000000000000000e+02), SC_(-6.1309429675639581275953700138582019374755e+177) }, 
+      { SC_(-1.5616046142578125000000000000000000000000e+02), SC_(-1.3075323486328125000000000000000000000000e+02), SC_(-4.6673144531250000000000000000000000000000e+02), SC_(-3.8879724121093750000000000000000000000000e+02), SC_(-3.3712792968750000000000000000000000000000e+02), SC_(5.0771533571105395112507671158341657849078e-21) }, 
+      { SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(-3.0340478515625000000000000000000000000000e+02), SC_(3.4846777343750000000000000000000000000000e+02), SC_(-2.4891619873046875000000000000000000000000e+02), SC_(2.4661963280733500827838102392456694588594e-19) }, 
+      { SC_(-1.4834051513671875000000000000000000000000e+02), SC_(-4.3240466308593750000000000000000000000000e+02), SC_(3.3082861328125000000000000000000000000000e+02), SC_(2.9359753417968750000000000000000000000000e+02), SC_(8.5264099121093750000000000000000000000000e+01), SC_(1.7801276690066621389763062605734642527988e+18) }, 
+      { SC_(-1.1270410156250000000000000000000000000000e+02), SC_(-4.8809802246093750000000000000000000000000e+02), SC_(2.2695471191406250000000000000000000000000e+02), SC_(-1.6287738037109375000000000000000000000000e+02), SC_(-1.1143020629882812500000000000000000000000e+02), SC_(2.5407237979811772888083637388715258370934e+45) }, 
+      { SC_(-1.1138482666015625000000000000000000000000e+02), SC_(1.2247509765625000000000000000000000000000e+02), SC_(2.7968933105468750000000000000000000000000e+02), SC_(8.7044738769531250000000000000000000000000e+01), SC_(-2.3361907958984375000000000000000000000000e+01), SC_(1.5591866626930230847619035616477113126324e+05) }, 
+      { SC_(-7.9810058593750000000000000000000000000000e+01), SC_(-7.5833221435546875000000000000000000000000e+01), SC_(2.8190917968750000000000000000000000000000e+02), SC_(7.8582763671875000000000000000000000000000e+00), SC_(-3.8680749511718750000000000000000000000000e+02), SC_(3.1682075946920874259619218678195880254105e+18) }, 
+      { SC_(-6.8586181640625000000000000000000000000000e+01), SC_(2.4994097900390625000000000000000000000000e+02), SC_(4.1064758300781250000000000000000000000000e+02), SC_(-3.6700402832031250000000000000000000000000e+02), SC_(-3.1815307617187500000000000000000000000000e+02), SC_(1.4636978438673048081222495699492837883393e-19) }, 
+      { SC_(-6.1255645751953125000000000000000000000000e+01), SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(2.6551684570312500000000000000000000000000e+02), SC_(-7.8230935989066580429653289617001765644549e+183) }, 
+      { SC_(-5.2415618896484375000000000000000000000000e+01), SC_(-4.2182446289062500000000000000000000000000e+02), SC_(3.5445092773437500000000000000000000000000e+02), SC_(-5.7321716308593750000000000000000000000000e+01), SC_(1.0423150634765625000000000000000000000000e+02), SC_(-8.5059667452233162170710384161543101987392e+29) }, 
+      { SC_(-4.9458404541015625000000000000000000000000e+01), SC_(2.2049340820312500000000000000000000000000e+02), SC_(-4.1617871093750000000000000000000000000000e+02), SC_(4.1257751464843750000000000000000000000000e+02), SC_(-2.7102307128906250000000000000000000000000e+02), SC_(2.4834063262581430275237945230018644021825e-09) }, 
+      { SC_(-1.8627311706542968750000000000000000000000e+01), SC_(1.0996417999267578125000000000000000000000e+01), SC_(1.9080078125000000000000000000000000000000e+01), SC_(1.2692131042480468750000000000000000000000e+01), SC_(-1.3681354522705078125000000000000000000000e+01), SC_(3.6751390679881780406349329643661305621334e+03) }, 
+      { SC_(-1.7951347351074218750000000000000000000000e+01), SC_(1.1807994842529296875000000000000000000000e+01), SC_(-1.8542350769042968750000000000000000000000e+01), SC_(-1.2525096893310546875000000000000000000000e+01), SC_(-9.1268844604492187500000000000000000000000e+00), SC_(-1.7687038523433296094129998013347882530319e+13) }, 
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+      { SC_(5.4985351562500000000000000000000000000000e+00), SC_(4.1333728027343750000000000000000000000000e+02), SC_(5.8268798828125000000000000000000000000000e+01), SC_(-3.4762207031250000000000000000000000000000e+02), SC_(3.1900329589843750000000000000000000000000e+00), SC_(7.0641620692870283423309468681437896822651e-01) }, 
+      { SC_(5.5905342102050781250000000000000000000000e+00), SC_(1.1688289642333984375000000000000000000000e+01), SC_(1.5137226104736328125000000000000000000000e+01), SC_(1.8379699707031250000000000000000000000000e+01), SC_(3.6627197265625000000000000000000000000000e-01), SC_(1.0903949493756432894914997387063010509170e+00) }, 
+      { SC_(6.2296276092529296875000000000000000000000e+00), SC_(1.1917144775390625000000000000000000000000e+01), SC_(-1.8571533203125000000000000000000000000000e+01), SC_(-5.5482406616210937500000000000000000000000e+00), SC_(3.4912933349609375000000000000000000000000e+01), SC_(-3.0452671322061282725381645571599564184368e+58) }, 
+      { SC_(8.2418441772460937500000000000000000000000e+00), SC_(1.1891193389892578125000000000000000000000e+01), SC_(-1.8726692199707031250000000000000000000000e+01), SC_(-7.3379821777343750000000000000000000000000e+00), SC_(-2.2307708740234375000000000000000000000000e+01), SC_(-1.2289091561745909342127302946539020611711e+17) }, 
+      { SC_(8.4281539916992187500000000000000000000000e+00), SC_(-1.3495532989501953125000000000000000000000e+01), SC_(5.7584381103515625000000000000000000000000e+00), SC_(-1.5240093231201171875000000000000000000000e+01), SC_(-4.3967170715332031250000000000000000000000e+00), SC_(-8.4457471810243159993997923317595883314031e-04) }, 
+      { SC_(1.0050682067871093750000000000000000000000e+01), SC_(1.2849838256835937500000000000000000000000e+01), SC_(-9.7961959838867187500000000000000000000000e+00), SC_(1.2833629608154296875000000000000000000000e+01), SC_(5.9570693969726562500000000000000000000000e-01), SC_(5.6639158480937048267577742903863425719244e-01) }, 
+      { SC_(1.0309604644775390625000000000000000000000e+01), SC_(9.6258888244628906250000000000000000000000e+00), SC_(9.7252998352050781250000000000000000000000e+00), SC_(-1.0096530914306640625000000000000000000000e+00), SC_(-1.0777297973632812500000000000000000000000e+01), SC_(-5.4727991260600594818622693500786843572669e+00) }, 
+      { SC_(1.0469245910644531250000000000000000000000e+01), SC_(-1.4028240203857421875000000000000000000000e+01), SC_(-1.0793758392333984375000000000000000000000e+01), SC_(-9.6996726989746093750000000000000000000000e+00), SC_(3.0973449707031250000000000000000000000000e+01), SC_(4.2053633464978874215146276066756456822620e+31) }, 
+      { SC_(1.0549999237060546875000000000000000000000e+01), SC_(1.8008880615234375000000000000000000000000e+01), SC_(-3.7643814086914062500000000000000000000000e-01), SC_(-1.8622161865234375000000000000000000000000e+01), SC_(1.6360549926757812500000000000000000000000e+01), SC_(6.1730386523387868549145902183216998125762e+41) }, 
+      { SC_(1.1758998870849609375000000000000000000000e+01), SC_(8.3745918273925781250000000000000000000000e+00), SC_(1.6834991455078125000000000000000000000000e+01), SC_(1.0187465667724609375000000000000000000000e+01), SC_(3.0753097534179687500000000000000000000000e+01), SC_(6.1192819294685935939514571900373511125331e+09) }, 
+      { SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-3.7301330566406250000000000000000000000000e+01), SC_(2.6610626120927005151151193991881863075756e+06) }, 
+      { SC_(1.2938312530517578125000000000000000000000e+01), SC_(1.2876132965087890625000000000000000000000e+01), SC_(7.7931442260742187500000000000000000000000e+00), SC_(-1.4992691040039062500000000000000000000000e+01), SC_(-1.8290054321289062500000000000000000000000e+01), SC_(-8.1798659794806390896341908977435271892929e+06) }, 
+      { SC_(1.3032680511474609375000000000000000000000e+01), SC_(-1.5010318756103515625000000000000000000000e+00), SC_(1.5336971282958984375000000000000000000000e+00), SC_(1.8636779785156250000000000000000000000000e+00), SC_(4.9613464355468750000000000000000000000000e+01), SC_(9.6240419641050879480209931027942787358191e+26) }, 
+      { SC_(1.3628688812255859375000000000000000000000e+01), SC_(1.9540863037109375000000000000000000000000e+01), SC_(-9.8287124633789062500000000000000000000000e+00), SC_(-6.7020702362060546875000000000000000000000e+00), SC_(3.1428482055664062500000000000000000000000e+01), SC_(-2.9533080314394465178416446450559211163004e+64) }, 
+      { SC_(1.4507125854492187500000000000000000000000e+01), SC_(1.1413269042968750000000000000000000000000e+00), SC_(4.8143997192382812500000000000000000000000e+00), SC_(-1.3374053955078125000000000000000000000000e+01), SC_(-3.8045288085937500000000000000000000000000e+01), SC_(-8.9270957135964855777864231951497515160700e-02) }, 
+      { SC_(1.4747787475585937500000000000000000000000e+01), SC_(7.1807880401611328125000000000000000000000e+00), SC_(-1.6622566223144531250000000000000000000000e+01), SC_(-6.1506652832031250000000000000000000000000e+00), SC_(-1.0021736145019531250000000000000000000000e+01), SC_(-7.8142849034366732539572238729342407894153e+14) }, 
+      { SC_(1.4897151947021484375000000000000000000000e+01), SC_(-1.8153144836425781250000000000000000000000e+01), SC_(-1.4035442352294921875000000000000000000000e+01), SC_(-1.6114730834960937500000000000000000000000e+01), SC_(4.9406845092773437500000000000000000000000e+01), SC_(-6.8326571052989051410923776720682169004023e+51) }, 
+      { SC_(1.5070297241210937500000000000000000000000e+01), SC_(3.4107093811035156250000000000000000000000e+00), SC_(1.2327018737792968750000000000000000000000e+01), SC_(-1.1047523498535156250000000000000000000000e+01), SC_(-4.8222610473632812500000000000000000000000e+01), SC_(-9.0819742729695319553008618079011493034431e-02) }, 
+      { SC_(1.7602958679199218750000000000000000000000e+01), SC_(7.9630680084228515625000000000000000000000e+00), SC_(-3.4933395385742187500000000000000000000000e+00), SC_(1.5636131286621093750000000000000000000000e+01), SC_(-7.6834869384765625000000000000000000000000e+00), SC_(1.4819504760088829624306068109981132052918e+01) }, 
+      { SC_(1.8200698852539062500000000000000000000000e+01), SC_(4.6417884826660156250000000000000000000000e+00), SC_(1.1155906677246093750000000000000000000000e+01), SC_(-1.0684471130371093750000000000000000000000e+00), SC_(4.8745956420898437500000000000000000000000e+01), SC_(8.2333014766683380658500736752922662913969e+35) }, 
+      { SC_(1.8371650695800781250000000000000000000000e+01), SC_(3.2382678985595703125000000000000000000000e+00), SC_(1.8886203765869140625000000000000000000000e+00), SC_(-1.3677696228027343750000000000000000000000e+01), SC_(-3.6137557983398437500000000000000000000000e+01), SC_(8.7300051886749816455465127014758220630644e+03) }, 
+      { SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.2943706512451171875000000000000000000000e+00), SC_(-1.9183296203613281250000000000000000000000e+01), SC_(1.7429133108056441106447473558858049597528e+08) }, 
+      { SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.8595535278320312500000000000000000000000e+01), SC_(4.6769485473632812500000000000000000000000e+01), SC_(1.1809819624735874941138601211320937112985e+20) }, 
+      { SC_(2.9841979980468750000000000000000000000000e+01), SC_(1.8921453857421875000000000000000000000000e+02), SC_(2.1610070800781250000000000000000000000000e+02), SC_(2.4815161132812500000000000000000000000000e+02), SC_(4.8837939453125000000000000000000000000000e+02), SC_(1.1234842046645656478399433357722102843208e+63) }, 
+      { SC_(6.1557495117187500000000000000000000000000e+01), SC_(-1.1955416870117187500000000000000000000000e+02), SC_(-2.9193200683593750000000000000000000000000e+02), SC_(6.7821594238281250000000000000000000000000e+01), SC_(2.7371459960937500000000000000000000000000e+01), SC_(2.1674477111723030285923492008898849878320e+04) }, 
+      { SC_(9.4503601074218750000000000000000000000000e+01), SC_(4.9723632812500000000000000000000000000000e+01), SC_(2.3279870605468750000000000000000000000000e+02), SC_(4.1719360351562500000000000000000000000000e+02), SC_(1.9523284912109375000000000000000000000000e+02), SC_(4.5853070760608922987397680746647819058985e+04) }, 
+      { SC_(9.4896057128906250000000000000000000000000e+01), SC_(-5.0443908691406250000000000000000000000000e+01), SC_(-2.3778826904296875000000000000000000000000e+02), SC_(-4.5794592285156250000000000000000000000000e+02), SC_(1.0284307861328125000000000000000000000000e+02), SC_(-4.1286224390518503050086482630597284841834e+164) }, 
+      { SC_(1.2343554687500000000000000000000000000000e+02), SC_(-3.1104504394531250000000000000000000000000e+02), SC_(3.1187390136718750000000000000000000000000e+02), SC_(1.8677545166015625000000000000000000000000e+02), SC_(-1.8749200439453125000000000000000000000000e+02), SC_(4.9969504891988273564692350858428032034076e+43) }, 
+      { SC_(1.3306365966796875000000000000000000000000e+02), SC_(-3.1518371582031250000000000000000000000000e+02), SC_(8.4382263183593750000000000000000000000000e+01), SC_(4.0488085937500000000000000000000000000000e+02), SC_(2.2665441894531250000000000000000000000000e+02), SC_(-4.8867065198344074982296348271251953749483e-78) }, 
+      { SC_(1.3976336669921875000000000000000000000000e+02), SC_(2.9220727539062500000000000000000000000000e+02), SC_(3.7843066406250000000000000000000000000000e+02), SC_(4.5949243164062500000000000000000000000000e+02), SC_(3.6627197265625000000000000000000000000000e+00), SC_(2.3687914145194196830239194979923629978246e+00) }, 
+      { SC_(1.5196862792968750000000000000000000000000e+02), SC_(7.5208618164062500000000000000000000000000e+01), SC_(2.5750354003906250000000000000000000000000e+02), SC_(-4.4022045898437500000000000000000000000000e+02), SC_(-6.4754302978515625000000000000000000000000e+01), SC_(1.0561036580393381996970837387609820091821e+03) }, 
+      { SC_(2.0732153320312500000000000000000000000000e+02), SC_(-2.4193530273437500000000000000000000000000e+02), SC_(-3.3767150878906250000000000000000000000000e+02), SC_(-9.1280151367187500000000000000000000000000e+01), SC_(-3.6626367187500000000000000000000000000000e+02), SC_(8.0908024626992620813895438253149816247800e+255) }, 
+      { SC_(2.1070385742187500000000000000000000000000e+02), SC_(-3.3738830566406250000000000000000000000000e+02), SC_(1.4396093750000000000000000000000000000000e+02), SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(1.5431372244833444989774945930181751954140e-28) }, 
+      { SC_(2.3033087158203125000000000000000000000000e+02), SC_(-3.9926159667968750000000000000000000000000e+02), SC_(-1.1391021728515625000000000000000000000000e+01), SC_(-1.5567205810546875000000000000000000000000e+02), SC_(7.8525085449218750000000000000000000000000e+01), SC_(5.9363148120112755714166978250790490055026e+231) }, 
+      { SC_(2.5126708984375000000000000000000000000000e+02), SC_(3.2124597167968750000000000000000000000000e+02), SC_(-2.4490490722656250000000000000000000000000e+02), SC_(3.2084069824218750000000000000000000000000e+02), SC_(5.9570617675781250000000000000000000000000e+00), SC_(2.5412476580675151610198476612848155687784e-03) }, 
+      { SC_(2.5774011230468750000000000000000000000000e+02), SC_(2.4064727783203125000000000000000000000000e+02), SC_(2.4313244628906250000000000000000000000000e+02), SC_(-2.5241302490234375000000000000000000000000e+01), SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-5.5482592911765229670127582592804835964237e+07) }, 
+      { SC_(2.6293139648437500000000000000000000000000e+02), SC_(-4.7077978515625000000000000000000000000000e+02), SC_(-2.3407934570312500000000000000000000000000e+02), SC_(4.2885412597656250000000000000000000000000e+02), SC_(-2.5586175537109375000000000000000000000000e+02), SC_(-1.5934527454871155849403111121808288778568e+269) }, 
+      { SC_(2.9397497558593750000000000000000000000000e+02), SC_(2.0936480712890625000000000000000000000000e+02), SC_(4.2087475585937500000000000000000000000000e+02), SC_(2.5468664550781250000000000000000000000000e+02), SC_(3.0753100585937500000000000000000000000000e+02), SC_(5.9304523939573133871694979988794115377472e+87) }, 
+      { SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(3.3500854492187500000000000000000000000000e+02), SC_(-3.7301318359375000000000000000000000000000e+02), SC_(5.9267564106025601167440826043367866028487e+87) }, 
+      { SC_(3.1576904296875000000000000000000000000000e+02), SC_(2.8022741699218750000000000000000000000000e+02), SC_(1.6928509521484375000000000000000000000000e+02), SC_(-4.1887426757812500000000000000000000000000e+02), SC_(-1.2058114624023437500000000000000000000000e+02), SC_(-5.0454599088085062279202352416045361107404e+89) }, 
+      { SC_(3.2581701660156250000000000000000000000000e+02), SC_(-3.7525817871093750000000000000000000000000e+01), SC_(3.8342407226562500000000000000000000000000e+01), SC_(4.6591918945312500000000000000000000000000e+01), SC_(4.9613464355468750000000000000000000000000e+02), SC_(1.1393652562647513959661812709276943653070e+276) }, 
+      { SC_(3.5303112792968750000000000000000000000000e+02), SC_(3.3933105468750000000000000000000000000000e+01), SC_(1.2205511474609375000000000000000000000000e+02), SC_(-6.1333190917968750000000000000000000000000e+01), SC_(-1.4904760742187500000000000000000000000000e+02), SC_(1.2828144126059547362039134142446288034034e-10) }, 
+      { SC_(3.5587512207031250000000000000000000000000e+02), SC_(-2.4012957763671875000000000000000000000000e+02), SC_(-4.5494055175781250000000000000000000000000e+02), SC_(3.0006848144531250000000000000000000000000e+02), SC_(1.6011944580078125000000000000000000000000e+02), SC_(4.3428388682870413894831054141491862458551e+38) }, 
+      { SC_(4.0018322753906250000000000000000000000000e+02), SC_(-2.6951184082031250000000000000000000000000e+02), SC_(-3.0550463867187500000000000000000000000000e+02), SC_(3.4430871582031250000000000000000000000000e+02), SC_(3.8599804687500000000000000000000000000000e+02), SC_(6.5613961348691474586046824924000243590375e+176) }, 
+      { SC_(4.2938598632812500000000000000000000000000e+02), SC_(-4.1503112792968750000000000000000000000000e+01), SC_(2.7571264648437500000000000000000000000000e+02), SC_(-1.9638604736328125000000000000000000000000e+02), SC_(-1.3208374023437500000000000000000000000000e+01), SC_(1.0571107981734581663978880846581759853793e-02) }, 
+      { SC_(4.3900158691406250000000000000000000000000e+02), SC_(-2.5992407226562500000000000000000000000000e+02), SC_(3.7594274902343750000000000000000000000000e+02), SC_(-4.8347949218750000000000000000000000000000e+02), SC_(5.0156372070312500000000000000000000000000e+01), SC_(1.6617273173940173749692119011363235352267e+13) }, 
+      { SC_(4.4007397460937500000000000000000000000000e+02), SC_(1.9907672119140625000000000000000000000000e+02), SC_(-8.7333465576171875000000000000000000000000e+01), SC_(3.9090319824218750000000000000000000000000e+02), SC_(-7.6834899902343750000000000000000000000000e+01), SC_(-1.3494188431073248493790028245922157972036e+39) }, 
+      { SC_(4.6308850097656250000000000000000000000000e+02), SC_(1.0592816162109375000000000000000000000000e+02), SC_(4.6805725097656250000000000000000000000000e+01), SC_(-2.7344873046875000000000000000000000000000e+02), SC_(2.1135803222656250000000000000000000000000e+01), SC_(3.6785304966163030487123076706740434930886e+91) }, 
+      { SC_(4.7974829101562500000000000000000000000000e+02), SC_(-1.4536187744140625000000000000000000000000e+02), SC_(-6.1130004882812500000000000000000000000000e+01), SC_(1.8040661621093750000000000000000000000000e+02), SC_(-3.8888085937500000000000000000000000000000e+02), SC_(3.5538673162086016498889909145538731312179e+224) }, 
+      { SC_(4.9288122558593750000000000000000000000000e+02), SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(7.0894449011388970455969152120597029644315e+199) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_dist_data2.ipp b/src/boost/libs/math/test/hypergeometric_dist_data2.ipp
new file mode 100644
index 000000000..e72cce07f
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_dist_data2.ipp
@@ -0,0 +1,1557 @@
+// Copyright John Maddock 2008
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// High precision test data generated with NTL::RR at 1000 bit precision, a few values
+// (5) are commented out as they are too close to numeric_limits<double>::min(), to expect
+// our implementation to cope :-(
+//
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<T, 7>, 1542-5> hypergeometric_dist_data2 = {{
+      {{ SC_(3.0), SC_(3.0), SC_(4.0), SC_(3.0), SC_(0.25), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(15.0), SC_(1.0), SC_(0.4351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648352), SC_(0.9186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813187), SC_(0.08131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868132) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(29.0), SC_(1.0), SC_(0.2668308702791461412151067323481116584564860426929392446633825944170771756978653530377668308702791461), SC_(0.9783798576902025177887246852764094143404488232074438970990695128626163108921729611384783798576902025), SC_(0.02162014230979748221127531472359058565955117679255610290093048713738368910782703886152162014230979748) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(36.0), SC_(0.0), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.2358543417366946778711484593837535014005602240896358543417366946778711484593837535014005602240896359) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(126.0), SC_(1.0), SC_(0.06915207373271889400921658986175115207373271889400921658986175115207373271889400921658986175115207373), SC_(0.9988632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388632873), SC_(0.00113671274961597542242703533026113671274961597542242703533026113671274961597542242703533026113671275) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(244.0), SC_(1.0), SC_(0.03627933583224194252510198858932092911228529708410483373225549082479037769648797964744313477547456683), SC_(0.9996972540440001940250325744612878244274170752064443072888179693942237409698909947295441582575213971), SC_(0.000302745955999805974967425538712175572582924793555692711182030605776259030109005270455841742478602886) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(312.0), SC_(1.0), SC_(0.02847574062696975257912919981170162686602889901302928997151588169117471057103875276264032617108024223), SC_(0.9998148931247157572227585711664126766294591209019172923332242904901342822720273192215936744512618385), SC_(0.0001851068752842427772414288335873233705408790980827076667757095098657177279726807784063255487381615377) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(835.0), SC_(2.0), SC_(0.2581655589043871544223599921164347357001646994902729971495771013355154666872564732609107917496038177e-4), SC_(0.999999989656828569535771056796474674822326294063914283242267742404763568288643161568250269995561228), SC_(0.1034317143046422894320352532517767370593608571675773225759523643171135683843174973000443877201938372e-7) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(1339.0), SC_(2.0), SC_(0.1003947183170306346342155134292225965295905454265948800011213749375291485656947505252493605792007758e-4), SC_(0.9999999974951417585571198943559003635423503859882598446458363273173309646325062733110092184319021812), SC_(0.2504858241442880105644099636457649614011740155354163672682669035367493726688990781568097818842334726e-8) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(2247.0), SC_(0.0), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.004001774340182039621816866485762739636231454159698130959480037736939867635378997278767648102672979931) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(6337.0), SC_(3.0), SC_(0.2358879496308800831829226846824974806129072443631243697852416096666081626809510143119559709141024524e-10), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(10473.0), SC_(0.0), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.0008591885023730048984584491483158548828081452311433244677211212651901929749810224714931124815710299385) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(19470.0), SC_(1.0), SC_(0.0004621546458171547706035663976460440873902809077223878291601948898604009482839619586692293887835934892), SC_(0.9999999525159191114148724475287847286487033774428645094517372539046053407646527981249525685746332899), SC_(0.474840808885851275524712152713512966225571354905482627460953946592353472018750474314253667100720009e-7) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(50688.0), SC_(1.0), SC_(0.000177542806299746271839033476123055921258690574273239708494936745387243192897196272502864976921637669), SC_(0.9999999929940820013404761079588834178272825101176741447805926107966813260382970495239146011235174132), SC_(0.7005917998659523892041116582172717489882325855219407389203318673961702950476085398876482586792219422e-8) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(130605.0), SC_(0.0), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.6890901710617352197436236472879500914973961458440866880787047946482061245595384134622587257191965793e-4) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(256574.0), SC_(3.0), SC_(0.3552371635159513860325600038240152740963615324848620192169438646974730526842238040838310286570387811e-15), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(523360.0), SC_(0.0), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.1719651025451744114496590283987316173561482561341785526470663472723107246227739593870072242726417493e-4) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(1030167.0), SC_(0.0), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.8736430624445862807357391600471219322541802740147924513384939342307243204354924979762204085240624246e-5) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(2063277.0), SC_(2.0), SC_(0.4228218588078016537393349224242898158519654500706774154042360990115337890442550174169690336289444862e-11), SC_(0.9999999999999999993169078871608882230549845820699047309406224442792096195912643384389346637753886614), SC_(0.6830921128391117769450154179300952690593775557207903804087356615610653362246113385544044834804609231e-18) }}, 
+      {{ SC_(3.0), SC_(3.0), SC_(2427690.0), SC_(1.0), SC_(0.3707221750341069722722473098862872930454653367564927579893098340856950440114769756467321264276216895e-5), SC_(0.9999999999969458799372235119189781595585754725019076995712217203898365865515984553898056310910853473), SC_(0.3054120062776488081021840441424527498092300428778279610163413448401544610194368908914652696290939e-11) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(15.0), SC_(3.0), SC_(0.008791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(29.0), SC_(3.0), SC_(0.001094690749863163656267104542966611932129173508483853311439518336070060207991242474001094690749863164), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(36.0), SC_(0.0), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.3053221288515406162464985994397759103641456582633053221288515406162464985994397759103641456582633053) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(126.0), SC_(1.0), SC_(0.09070353302611367127496159754224270353302611367127496159754224270353302611367127496159754224270353303), SC_(0.9977388632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388633), SC_(0.002261136712749615975422427035330261136712749615975422427035330261136712749615975422427035330261136713) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(244.0), SC_(2.0), SC_(0.0006021466528172936518689126736816751719881377109394993150581824203284709991118336870944918634933538063), SC_(0.999998327370408840850967030798128662013411144061914056946347060604387976469446911573091404189268074), SC_(0.1672629591159149032969201871337986588855938085943053652939395612023530553088426908595810731925982795e-5) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(312.0), SC_(1.0), SC_(0.03772190883486392251043220859629945824324000861704419426647411296306639113401897345471663488466724646), SC_(0.9996305841238939465264535278019356434458602283516711480615639935212593650515027965499908244436820311), SC_(0.0003694158761060534735464721980643565541397716483288519384360064787406349484972034500091755563179689308) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(835.0), SC_(0.0), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.0143196036869062017604181206364422303621832138705652424240277250778827879749668359137046452579222358) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(1339.0), SC_(2.0), SC_(0.2006391451395746964620923808802577340823403864438685101818817897329362475077881616036046352892710116e-4), SC_(0.9999999899805670342284795774236014541694015439530393785833453092693238585300250932440368737276087246), SC_(0.1001943296577152042257639854583059845604696062141665469073067614146997490675596312627239127536933891e-7) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(2247.0), SC_(0.0), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.00533332277020853422125294019366947394153060996964505859188714998595465390859373123962491060520951338) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(6337.0), SC_(1.0), SC_(0.001891847586779657220992289872156166488235360255077830625107557828393192391528917256534678376235067316), SC_(0.9999991035786138127295078882572136695730741748298899712547699421248349449556601798499554117049193322), SC_(0.8964213861872704921117427863304269258251701100287452300578751650550443398201500445882950806677721395e-6) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(10473.0), SC_(1.0), SC_(0.001145147061888397702122110660001930252283314446726483295739001580211816397736411435562758610336308275), SC_(0.9999996717940432933781331338466855928064043406039015380040831299199686693233212861051789564761812013), SC_(0.3282059567066218668661533144071935956593960984619959168700800313306766787138948210435238187987321505e-6) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(19470.0), SC_(0.0), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.0006162378515608730608697024535632939692095283834177708295145694424926537943287087306447365329337601333) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(50688.0), SC_(2.0), SC_(0.1401146740059159687000362838102443888793059676616274704507737953139928522420410555413751420906679839e-7), SC_(0.9999999999998157016362745429606976083395019540829725278619661333353710917379396616259673781922745177), SC_(0.1842983637254570393023916604980459170274721380338666646289082620603383740326218077254822588202299001e-12) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(130605.0), SC_(3.0), SC_(0.1077312767938766344390907616615286138463711258594000990959287806376972053683257695934949699507976875e-13), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(256574.0), SC_(3.0), SC_(0.1420948654063805544130240015296061096385446129939448076867775458789892210736894719317979792309046884e-14), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(523360.0), SC_(2.0), SC_(0.1314318489170914747961350984206668104616213903674985872735338593180689053854775895523763664456140065e-9), SC_(0.9999999999999998325781444917144037122785784811016969180680195157170424802825618788227889935366343215), SC_(0.1674218555082855962877214215188983030819319804842829575197174381211772110064633656785356306142944377e-15) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(1030167.0), SC_(1.0), SC_(0.116485289360067976066396337974349660300380614138788758148273861062187583424300947722703945197920028e-4), SC_(0.9999999999660775592353976223337476050051999867433202612323477356002373559905965339602305294458630394), SC_(0.3392244076460237766625239499480001325667973876765226439976264400940346603976947055413696055605937866e-10) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(2063277.0), SC_(3.0), SC_(0.2732368451356447107780061671720381076237510222883161521634942646244261344898444398493772797510164856e-17), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(3.0), SC_(2427690.0), SC_(3.0), SC_(0.1677382432156413377242616054304921472914716600670585866309205358076859280920068600936144194911254535e-17), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(15.0), SC_(2.0), SC_(0.2417582417582417582417582417582417582417582417582417582417582417582417582417582417582417582417582418), SC_(0.967032967032967032967032967032967032967032967032967032967032967032967032967032967032967032967032967), SC_(0.03296703296703296703296703296703296703296703296703296703296703296703296703296703296703296703296703297) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(29.0), SC_(2.0), SC_(0.07578628268283440697233800682076544145509662751042061386888973095869647593785524820007578628268283441), SC_(0.9957475474716854027198854785061681613405751336785819544440234095406509199612647888509957475474716854), SC_(0.004252452528314597280114521493831838659424866321418045555976590459349080038735211149004252452528314597) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(36.0), SC_(2.0), SC_(0.05052202699261522790934555640437993379169849758085052202699261522790934555640437993379169849758085052), SC_(0.9978100331041507512095747389865036923860453272217978100331041507512095747389865036923860453272217978), SC_(0.00218996689584924879042526101349630761395467277820218996689584924879042526101349630761395467277820219) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(126.0), SC_(1.0), SC_(0.1179883356437251008454785008679579883356437251008454785008679579883356437251008454785008679579883356), SC_(0.995526581993930538383724851073395526581993930538383724851073395526581993930538383724851073395526582), SC_(0.004473418006069461616275148926604473418006069461616275148926604473418006069461616275148926604473418006) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(244.0), SC_(4.0), SC_(0.6940371747548336236386729756589155970356589568228438393939400879765686942275630326123695983095364296e-8), SC_(1.0), SC_(0.0) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(312.0), SC_(2.0), SC_(0.0007324642492206586895229555067242613251114564780008581410965847177294444880392033680527501919352863389), SC_(0.9999968162485042758712150055552977741084159565906715771321122858801240872955223982340171995396496742), SC_(0.3183751495724128784994444702225891584043409328422867887714119875912704477601765982800460350325761298e-5) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(835.0), SC_(2.0), SC_(0.0001028941677509724898412851084980980319980090827127785192792956118852539541178586164607109839551672529), SC_(0.9999998346584374697424940569628764124242063834736297681756742475761483873064351548770776333425052069), SC_(0.1653415625302575059430371235875757936165263702318243257524238516126935648451229223666574947930983215e-6) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(1339.0), SC_(0.0), SC_(0.9880909320426824437134692361830228840844758238421095618838255536221414907847590547315977953304078473), SC_(0.9880909320426824437134692361830228840844758238421095618838255536221414907847590547315977953304078473), SC_(0.01190906795731755628653076381697711591552417615789043811617444637785850921524094526840220466959215269) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(2247.0), SC_(0.0), SC_(0.9928936528497027109377867263663905429460657012780726687852819893188331440484625855718539216775092202), SC_(0.9928936528497027109377867263663905429460657012780726687852819893188331440484625855718539216775092202), SC_(0.007106347150297289062213273633609457053934298721927331214718010681166855951537414428146078322490779845) }}, 
+      {{ SC_(4.0), SC_(4.0), SC_(6337.0), SC_(2.0), SC_(0.1792088020315431532357710646185190863500499136480420547938955947325411169746369362047374527535586343e-5), SC_(0.9999999996226239704452740671125367621685059250794582114650439116028086076612450530346364353921831), SC_(0.3773760295547259328874632378314940749205417885349560883971913923387549469653635646078168999789679461e-9) }}, 
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+      {{ SC_(1030167.0), SC_(6337.0), SC_(2063277.0), SC_(454.0), SC_(0.4025422160819852297568951968523274596062246125438904788756962198164406817266817833667333487098811031e-1199), SC_(0.436103336876351429519087945530031646475456673813534761357883347838764593638289935338391583046698877e-1199), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(6337.0), SC_(2427690.0), SC_(3237.0), SC_(0.1998166273103297961784253705763905907278331516667620744588693045942543327518672320522462390121057999e-43), SC_(0.9999999999999999999999999999999999999999999524730441601129242156027593234048677021216477272047549735), SC_(0.4752695583988707578439724067659513229787835227279524502651221127946129470404914059241899485939245177e-43) }}, 
+      {{ SC_(1030167.0), SC_(10473.0), SC_(2063277.0), SC_(9877.0), SC_(0.7783725693103413705570710389260868973240616725731925865900828253752567827898934667073187007389470159e-2176), SC_(1.0), SC_(0.4934433456851754059627122114623322636843600746350737771039776009297673897244589085180450216278534745e-2177) }}, 
+      {{ SC_(1030167.0), SC_(10473.0), SC_(2427690.0), SC_(5712.0), SC_(0.7355901010579335219765238522179016937705926659452295729977036156048032907611269656358611739668634818e-137), SC_(1.0), SC_(0.1163249001626992207066540272519157169051103416567797715789509742964335364566244129318021762330807649e-136) }}, 
+      {{ SC_(1030167.0), SC_(19470.0), SC_(2063277.0), SC_(6846.0), SC_(0.6703080713107374656044787470489971833315841258162916573058643493102267089053779105352055684607339629e-380), SC_(0.1459126867347770655865859989875429623027864182357521093362522814183914369575106484463985221090338746e-379), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(19470.0), SC_(2427690.0), SC_(2833.0), SC_(0.8785288357918805501451553139735155116781962715299419647419967431421184416853195710404807906416977552e-1550), SC_(0.1139234820978152677581944812918196842184586175178446208622563077041369083565215813619803609808418003e-1549), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(50688.0), SC_(2063277.0), SC_(5958.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2696611800809340133866864913059483733762650252007098931107252423414951968838899485622090902801604347e-7429)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3094335971442905044072386934961293807150112770244272987590834754277833101226687685341807913602359489e-7429)), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(50688.0), SC_(2427690.0), SC_(24749.0), SC_(0.2578716269345720961744344112334709803169389018972677518401353907891401845167717494934082857214768696e-188), SC_(1.0), SC_(0.8538547595672537381757380908369587958654029695913527955575657852406906964195281915375545945375373932e-188) }}, 
+      {{ SC_(1030167.0), SC_(130605.0), SC_(2063277.0), SC_(67199.0), SC_(0.1772402217747576023975265826925769595264611577464025377584499804202175059831312745179381288679219898e-30), SC_(0.9999999999999999999999999999973844048905181626720565455251696667915520055031995673391485820685310697), SC_(0.2615595109481837327943454474830333208447994496800432660851417931468930325870724472627377999209154375e-29) }}, 
+      {{ SC_(1030167.0), SC_(130605.0), SC_(2427690.0), SC_(62807.0), SC_(0.2526562134449195027792279400361520142369933233947774941848233866437381584491456912781842143198296159e-391), SC_(1.0), SC_(0.9235445258826835146504359095658972972561150774551460899132768721999586312051548667127893915560202981e-391) }}, 
+      {{ SC_(1030167.0), SC_(256574.0), SC_(2063277.0), SC_(136078.0), SC_(0.1889505875800464975393622983597902398805285201058519859012948813401757384027515978291586034505061829e-248), SC_(1.0), SC_(0.1236113837302074642637204443211773020459272585535378891152669651196365415708839777030544349579933748e-247) }}, 
+      {{ SC_(1030167.0), SC_(256574.0), SC_(2427690.0), SC_(5059.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.3415687552349317027106561182030892561608054053847049256991933370024960969305479793930443943170209826e-55782))), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.3494259919719804048098668133719877462120862735795090904931820959068567376960513319071259582269982684e-55782))), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(523360.0), SC_(2063277.0), SC_(45322.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.6406250319059851000414186122521980525283948930917260704720124702812431881419266715502486311348930843e-116984)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6767892889836179660205690345292677556531677014893649920196102930641077389045148072153989233371368326e-116984)), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(523360.0), SC_(2427690.0), SC_(169882.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2359533635629512164764734112351286744012027902065592462710641731769499440473362833287635226506536775e-6029)), SC_(BOOST_MATH_SMALL_CONSTANT(0.5661726060614987628669304125055108672612592607173491522003446602490067211732156035758926889094610648e-6029)), SC_(1.0) }}, 
+      {{ SC_(1030167.0), SC_(1030167.0), SC_(2063277.0), SC_(744478.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.4511153571077027519604414144322801206679870058587253174456021218360208321437627577138707488632852896e-92404))), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.7754310234985811873988039144864472895479722845395841523576919087158739737428332572815461903769407882e-92405))) }}, 
+      {{ SC_(1030167.0), SC_(1030167.0), SC_(2427690.0), SC_(572726.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1391919893786702038962612009846824397331628724453809213678113652788484674273410824482758277274826774e-27643)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.8848627313045931655152816475946061877553473103461211294820092561884413448622321591917114894334786741e-27644)) }}, 
+      {{ SC_(2063277.0), SC_(3.0), SC_(2427690.0), SC_(1.0), SC_(0.05744948917837785396631837850087687638865986911538300396398836885344514018919283261725123608911631573), SC_(0.06083168584917255775414716520408138122920687784053330869080901476158912618517300547284053088480152357), SC_(0.9391683141508274422458528347959186187707931221594666913091909852384108738148269945271594691151984764) }}, 
+      {{ SC_(2063277.0), SC_(4.0), SC_(2427690.0), SC_(2.0), SC_(0.09765192319603535795200082936537967044984677193469420307214403317599152054043820712170776297045732308), SC_(0.1096576474471902367301475798867712164541302638078804102268810313495852909563466728647636960006874216), SC_(0.8903423525528097632698524201132287835458697361921195897731189686504147090436533271352363039993125784) }}, 
+      {{ SC_(2063277.0), SC_(15.0), SC_(2427690.0), SC_(2.0), SC_(0.1489538545802902607664120997954020858865667522818151389900602349430345082934769865095821871577947918e-8), SC_(0.1527562590656629047323044385006577628342277802825044663380264946841620738937005774513717697678843875e-8), SC_(0.9999999984724374093433709526769556149934223716577221971749553366197350531583792610629942254862823023) }}, 
+      {{ SC_(2063277.0), SC_(29.0), SC_(2427690.0), SC_(24.0), SC_(0.1825580820948670496065127391210869986226421373788908976816528717196305923822458800333980579115728127), SC_(0.445163736077329563124004070889775468206373091875399633746378366762360683651027004054511129031081457), SC_(0.554836263922670436875995929110224531793626908124600366253621633237639316348972995945488870968918543) }}, 
+      {{ SC_(2063277.0), SC_(36.0), SC_(2427690.0), SC_(22.0), SC_(0.0003125643546548426465134199665900176038001607706081738565500117820653374268332937528261593867942722811), SC_(0.0004170661129387665482411517580309840599293201092352328271804108145419950379407776296795046335742746907), SC_(0.9995829338870612334517588482419690159400706798907647671728195891854580049620592223703204953664257253) }}, 
+      {{ SC_(2063277.0), SC_(126.0), SC_(2427690.0), SC_(124.0), SC_(0.3090497262600759339310995264132131683837693477210209596697565157782818504892226262835886329947677904e-6), SC_(0.9999999707466493421791804803401295750261251967731062983856754109793651076882563380203078160781201427), SC_(0.292533506578208195196598704249738748032268937016143245890206348923117436619796921839218798573098886e-7) }}, 
+      {{ SC_(2063277.0), SC_(244.0), SC_(2427690.0), SC_(125.0), SC_(0.1926311146754487317839352173396317360254859601590752007913400851592802919026180964385042186799388985e-34), SC_(0.2358551776787649570027910244313940189611854169940576794125495099425455366841057480399695284027407998e-34), SC_(0.9999999999999999999999999999999999764144822321235042997208975568605981038814583005942320587450490057) }}, 
+      {{ SC_(2063277.0), SC_(312.0), SC_(2427690.0), SC_(101.0), SC_(0.1166767818366514624165565698899735105639350733982911242849414658751117357600131962830133143705241353e-96), SC_(0.1273746118350149699556320311421523675800002438203319168937701298695872308610721640141197137021741127e-96), SC_(0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998726) }}, 
+      {{ SC_(2063277.0), SC_(835.0), SC_(2427690.0), SC_(537.0), SC_(0.23461228902101219097178707917291860335053529413516261545028998077215105088793120601212977276059809e-48), SC_(0.3431363619828340409481381658562477455080489826352272059292470590381196707245019036327290686732838148e-48), SC_(0.9999999999999999999999999999999999999999999999996568636380171659590518618341437522544919510173647728) }}, 
+      {{ SC_(2063277.0), SC_(1339.0), SC_(2427690.0), SC_(567.0), SC_(0.3041470601326637639494336714081772092631985361508198839012668100830373463893945362825999488268208953e-281), SC_(0.3492944674692955483087920207427729775582252986994579321749324087059134559172244801668433526825047348e-281), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(2247.0), SC_(2427690.0), SC_(146.0), SC_(0.1961583257344876361407986442912971748133704876860571439720756997039603833526484722848050981525197114e-1509), SC_(0.1985803181231377171100024006050801391647985792237330316683697442131384730223214433005701459145186371e-1509), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(6337.0), SC_(2427690.0), SC_(2672.0), SC_(0.1946697310930234468246720701513688516379049429450611162377788936941304610494217178093823793465460629e-1340), SC_(0.2231398150887527500500636624540547473831434192427597288446010950080238974412696796973001269796604522e-1340), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(10473.0), SC_(2427690.0), SC_(9239.0), SC_(0.1551193531816254902127180217675278330953801636526937883589391307214311968656400971435645306065954152e-21), SC_(0.9999999999999999999995265520566596472139336012063899453012696720276036981041380189756120978583403695), SC_(0.4734479433403527860663987936100546987303279723963018958619810243879021416596305465302368046704094033e-21) }}, 
+      {{ SC_(2063277.0), SC_(19470.0), SC_(2427690.0), SC_(4675.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.623040705399711425127124917791866020596913429898404691576374003232002649354732173377846476674429555e-7957)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6583688419938623576817522468445990251506727431116697161171189880925188638737939276886488942322787167e-7957)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(50688.0), SC_(2427690.0), SC_(5656.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1529278237073002921981596930779124386741258366470694934804851463595902054455594437519411007451134623e-30822)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1559684068913597863769291907119127621669934794968537447893450088285543334777687079420401191985208386e-30822)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(130605.0), SC_(2427690.0), SC_(12086.0), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.1838031979064376860156110323884379948298364325044049860781553255686817375515358349062016312896522764e-88900))), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.1860779122972254559882711932578481205298684299140770720149987268252855087660161273279636415996449002e-88900))), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(256574.0), SC_(2427690.0), SC_(208651.0), SC_(0.1043358350305396213816825473194597727628397567524572489210649347280772703074417268374663807425040052e-624), SC_(0.4058279349421142862579906719998452318972757308871573552913945099588747110076803516651018133973772923e-624), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(523360.0), SC_(2427690.0), SC_(184261.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.3757927138352356631892501916344494185815670042854429196331040880186979716874474145827399077949946912e-240005)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3785639581119621756070451029910607902592003937852821432380999689590450613028232909193510596494914717e-240005)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(1030167.0), SC_(2427690.0), SC_(803033.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2014503510496423731073796011823145616941176229174944683082735797595277609595578046438978094454227689e-14930)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3276248348930073080804548929222879527457119577454409744322412672836109490789223127331688301365927403e-14930)), SC_(1.0) }}, 
+      {{ SC_(2063277.0), SC_(2063277.0), SC_(2427690.0), SC_(1949025.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.9948928329918925300825475902876870461866169772968706503745565572554925906532956518816712676968759027e-155653)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.2736845628398119894621780530003341353062573210278622168826610191467448846343071724458397259050505966e-155654)) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/hypergeometric_test_data.ipp b/src/boost/libs/math/test/hypergeometric_test_data.ipp
new file mode 100644
index 000000000..b1a995302
--- /dev/null
+++ b/src/boost/libs/math/test/hypergeometric_test_data.ipp
@@ -0,0 +1,412 @@
+// Copyright Gautam Sewani 2008
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Test data generated by Mathematica, 104 values are commented out because they have only a low
+// absolute error, not a low relative error.
+//
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+  static const boost::array<boost::array<T, 8>, 398-105> hypergeometric_test_data = {{
+     //{{SC_(1.0),SC_(1.0),SC_(2.0),SC_(1.0),SC_(0.5),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(5.0),SC_(4.0),SC_(6.0),SC_(3.0),SC_(0.6666666666666666666666666666666666666667),SC_(0.6666666666666666666666666666666666666667),SC_(0.3333333333333333333333333333333333333333)}},
+     //{{SC_(5.0),SC_(3.0),SC_(13.0),SC_(3.0),SC_(0.03496503496503496503496503496503496503497),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(5.0),SC_(3.0),SC_(13.0),SC_(1.0),SC_(0.4895104895104895104895104895104895104895),SC_(0.6853146853146853146853146853146853146853),SC_(0.3146853146853146853146853146853146853147)}},
+     {{SC_(5.0),SC_(3.0),SC_(13.0),SC_(1.0),SC_(0.4895104895104895104895104895104895104895),SC_(0.6853146853146853146853146853146853146853),SC_(0.3146853146853146853146853146853146853147)}},
+     //{{SC_(1.0),SC_(3.0),SC_(13.0),SC_(1.0),SC_(0.2307692307692307692307692307692307692308),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(11.0),SC_(9.0),SC_(13.0),SC_(7.0),SC_(0.4615384615384615384615384615384615384615),SC_(0.4615384615384615384615384615384615384615),SC_(0.5384615384615384615384615384615384615385)}},
+     {{SC_(11.0),SC_(9.0),SC_(13.0),SC_(8.0),SC_(0.4615384615384615384615384615384615384615),SC_(0.9230769230769230769230769230769230769231),SC_(0.0769230769230769230769230769230769230769)}},
+     {{SC_(3.0),SC_(9.0),SC_(13.0),SC_(1.0),SC_(0.1888111888111888111888111888111888111888),SC_(0.2027972027972027972027972027972027972028),SC_(0.7972027972027972027972027972027972027972)}},
+     //{{SC_(3.0),SC_(9.0),SC_(13.0),SC_(3.0),SC_(0.2937062937062937062937062937062937062937),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(3.0),SC_(9.0),SC_(13.0),SC_(1.0),SC_(0.1888111888111888111888111888111888111888),SC_(0.2027972027972027972027972027972027972028),SC_(0.7972027972027972027972027972027972027972)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(14.0),SC_(0.3401288366805608184918529746115953012505),SC_(0.5445497031703928255652393583428066186687),SC_(0.4554502968296071744347606416571933813313)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(14.0),SC_(0.3401288366805608184918529746115953012505),SC_(0.5445497031703928255652393583428066186687),SC_(0.4554502968296071744347606416571933813313)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(17.0),SC_(0.02400909435392194012883668056081849185297),SC_(0.9984438549955791335101679929266136162688),SC_(0.0015561450044208664898320070733863837312)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(12.0),SC_(0.03126436781609195402298850574712643678161),SC_(0.03126436781609195402298850574712643678161),SC_(0.9687356321839080459770114942528735632184)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(13.0),SC_(0.1731564986737400530503978779840848806366),SC_(0.2044208664898320070733863837312113174182),SC_(0.7955791335101679929266136162687886825818)}},
+     {{SC_(24.0),SC_(18.0),SC_(30.0),SC_(13.0),SC_(0.1731564986737400530503978779840848806366),SC_(0.2044208664898320070733863837312113174182),SC_(0.7955791335101679929266136162687886825818)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(3.0),SC_(0.357307060755336617405582922824302134647),SC_(0.8883415435139573070607553366174055829228),SC_(0.1116584564860426929392446633825944170772)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(3.0),SC_(0.357307060755336617405582922824302134647),SC_(0.8883415435139573070607553366174055829228),SC_(0.1116584564860426929392446633825944170772)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(2.0),SC_(0.3684729064039408866995073891625615763547),SC_(0.5310344827586206896551724137931034482759),SC_(0.4689655172413793103448275862068965517241)}},
+     {{SC_(4.0),SC_(18.0),SC_(30.0),SC_(0.0),SC_(0.01806239737274220032840722495894909688013),SC_(0.01806239737274220032840722495894909688013),SC_(0.9819376026272577996715927750410509031199)}},
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+     {{SC_(49.0),SC_(9.0),SC_(52.0),SC_(8.0),SC_(0.3677375565610859728506787330316742081448),SC_(0.4415837104072398190045248868778280542986),SC_(0.5584162895927601809954751131221719457014)}},
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+     //{{SC_(12.0),SC_(72.0),SC_(86.0),SC_(12.0),SC_(0.1004778059022558548188756178036665047061),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(12.0),SC_(72.0),SC_(86.0),SC_(12.0),SC_(0.1004778059022558548188756178036665047061),SC_(1.0),SC_(0.e-40)}},
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+     {{SC_(7.0),SC_(72.0),SC_(86.0),SC_(1.0),SC_(0.00004023970159105609317922988205868082117935),SC_(0.00004087842701313634862651924526596146913458),SC_(0.9999591215729868636513734807547340385309)}},
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+     {{SC_(77.0),SC_(8.0),SC_(86.0),SC_(1.0),SC_(5.224239090042985157965580273765767111892e-8),SC_(5.241200905270397447439494495433837784333e-8),SC_(0.9999999475879909472960255256050550456616)}},
+     {{SC_(77.0),SC_(8.0),SC_(86.0),SC_(2.0),SC_(4.632158659838113506729481176072313505878e-6),SC_(4.684570668890817481203876121026651883721e-6),SC_(0.9999953154293311091825187961238789733481)}},
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+     //{{SC_(77.0),SC_(8.0),SC_(86.0),SC_(8.0),SC_(0.3965686153374173505799193458109659077391),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(29.0),SC_(8.0),SC_(86.0),SC_(7.0),SC_(0.00167666525814056836712273646335578512841),SC_(0.9999191082550897094208844293811538875596),SC_(0.0000808917449102905791155706188461124404)}},
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+     //{{SC_(29.0),SC_(8.0),SC_(86.0),SC_(8.0),SC_(0.00008089174491029057911557061884611244040574),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(29.0),SC_(8.0),SC_(86.0),SC_(6.0),SC_(0.01428810393893701738939375420946669065949),SC_(0.9982424429969491410537616929177981024312),SC_(0.0017575570030508589462383070822018975688)}},
+     //{{SC_(29.0),SC_(8.0),SC_(86.0),SC_(8.0),SC_(0.00008089174491029057911557061884611244040574),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(23.0),SC_(0.000805225301249190134657693037802553099772),SC_(0.9997230974788395286912976093894277642599),SC_(0.0002769025211604713087023906105722357401)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(3.0),SC_(1.549234238041493564944898578804393139565e-6),SC_(1.682815234186091880242156421991560710112e-6),SC_(0.9999983171847658139081197578435780084393)}},
+     //{{SC_(48.0),SC_(41.0),SC_(135.0),SC_(38.0),SC_(9.373176834116244931418259196234568800165e-21),SC_(0.999999999999999999999914730022392732307),SC_(8.5269977607267693e-23)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(9.0),SC_(0.01430556344702512505400957461643023189953),SC_(0.02185170684715481437694029566249789236978),SC_(0.9781482931528451856230597043375021076302)}},
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+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(24.0),SC_(0.0002156853485488902146404534922685410088675),SC_(0.9999387828273884189059380628816963052688),SC_(0.0000612171726115810940619371183036947312)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(18.0),SC_(0.0635028350807540704799954651407904540509),SC_(0.9365369229858498785790860909202020989164),SC_(0.0634630770141501214209139090797979010836)}},
+     {{SC_(48.0),SC_(41.0),SC_(135.0),SC_(9.0),SC_(0.01430556344702512505400957461643023189953),SC_(0.02185170684715481437694029566249789236978),SC_(0.9781482931528451856230597043375021076302)}},
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+     //{{SC_(48.0),SC_(41.0),SC_(135.0),SC_(33.0),SC_(8.636981288535222466738786964411319271682e-13),SC_(0.999999999999960542990943845719644284854),SC_(3.9457009056154280355715146e-14)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(26.0),SC_(0.1353717947518808788868865115924511455337),SC_(0.3675844037299293748321620979742237536539),SC_(0.6324155962700706251678379020257762463461)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(26.0),SC_(0.1353717947518808788868865115924511455337),SC_(0.3675844037299293748321620979742237536539),SC_(0.6324155962700706251678379020257762463461)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(20.0),SC_(0.002601025216711084794471493458275384237955),SC_(0.003669860896139999028261909741374497034297),SC_(0.9963301391038600009717380902586255029657)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(11.0),SC_(1.93986120352085451724740385260254674247e-10),SC_(2.076207498565016728508626957499799991182e-10),SC_(0.99999999979237925014349832714913730425)}},
+     //{{SC_(90.0),SC_(41.0),SC_(135.0),SC_(41.0),SC_(9.871386192011484832340215364891496674834e-10),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(5.0),SC_(5.265522477647327144962051848320365887239e-19),SC_(5.340712956939061505668577772335340177878e-19),SC_(0.999999999999999999465928704306093849433)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(14.0),SC_(2.096844946871957002598423844522410926464e-7),SC_(2.367952089112490528616878029677703261355e-7),SC_(0.9999997632047910887509471383121970322297)}},
+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(17.0),SC_(0.00004767458915445746777441479423811721061273),SC_(0.00005862101992951723721804793182698319474578),SC_(0.9999413789800704827627819520681730168053)}},
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+     {{SC_(90.0),SC_(41.0),SC_(135.0),SC_(8.0),SC_(3.014074819429380864488976694771446531001e-14),SC_(3.119347726178191980534406891165469850373e-14),SC_(0.999999999999968806522738218080194655931)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(7.0),SC_(8.3970164850884401343928334487887643969e-11),SC_(8.927961958486883651568950241339169425435e-11),SC_(0.999999999910720380415131163484310497587)}},
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+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(5.0),SC_(2.393818102005960349308582656633598143507e-13),SC_(2.482393183146904332230217371930142105031e-13),SC_(0.999999999999751760681685309566776978263)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(15.0),SC_(0.0004844924451188653694926716107374844941183),SC_(0.0006420609332055323751720513070835264424829),SC_(0.9993579390667944676248279486929164735575)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(12.0),SC_(5.112991279710625036105384102461015315585e-6),SC_(6.04695804755021374402590977118762910851e-6),SC_(0.9999939530419524497862559740902288123709)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(34.0),SC_(0.0000794274737684955357674027042641086571524),SC_(0.9999833972366789470789019786949997450291),SC_(0.0000166027633210529210980213050002549709)}},
+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(15.0),SC_(0.0004844924451188653694926716107374844941183),SC_(0.0006420609332055323751720513070835264424829),SC_(0.9993579390667944676248279486929164735575)}},
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+     {{SC_(79.0),SC_(41.0),SC_(135.0),SC_(7.0),SC_(8.3970164850884401343928334487887643969e-11),SC_(8.927961958486883651568950241339169425435e-11),SC_(0.999999999910720380415131163484310497587)}},
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+     //{{SC_(54.0),SC_(41.0),SC_(135.0),SC_(40.0),SC_(3.554068272074300682345953314464372175913e-21),SC_(0.999999999999999999999985017477925612704),SC_(1.4982522074387296e-23)}},
+     {{SC_(309.0),SC_(128.0),SC_(356.0),SC_(116.0),SC_(0.03699807022436664481783952519965912389076),SC_(0.9635080874490526119281455020839353389893),SC_(0.0364919125509473880718544979160646610107)}},
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+     //{{SC_(309.0),SC_(128.0),SC_(356.0),SC_(128.0),SC_(1.173952568854174209634781519975835814629e-10),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(309.0),SC_(128.0),SC_(356.0),SC_(95.0),SC_(2.523134664906021391827654571209586578814e-7),SC_(3.068494487409635672940571726868111070252e-7),SC_(0.9999996931505512590364327059428273131889)}},
+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(116.0),SC_(0.05814205100844658174163343144704930895785),SC_(0.1043915443995216378549656982347843287219),SC_(0.8956084556004783621450343017652156712781)}},
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+     //{{SC_(332.0),SC_(128.0),SC_(356.0),SC_(128.0),SC_(0.00001429619718722787470213743464779523575631),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(111.0),SC_(0.0002843459681667381617853471866947621470982),SC_(0.0003493978946605080858095590072982928343876),SC_(0.9996506021053394919141904409927017071656)}},
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+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(104.0),SC_(4.818676800586903535709507078965008419799e-12),SC_(4.818676800586903535709507078965008419799e-12),SC_(0.999999999995181323199413096464290492921)}},
+     {{SC_(332.0),SC_(128.0),SC_(356.0),SC_(127.0),SC_(0.0002142337451666538101705668255513510450897),SC_(0.9999857038028127721252978625653522047642),SC_(0.0000142961971872278747021374346477952358)}},
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+     {{SC_(212.0),SC_(32.0),SC_(356.0),SC_(15.0),SC_(0.04679452269585690471083072959542901135324),SC_(0.09056570871796626116701178400232098743809),SC_(0.9094342912820337388329882159976790125619)}},
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+     {{SC_(212.0),SC_(32.0),SC_(356.0),SC_(4.0),SC_(1.096192385183736633136778989136191058979e-8),SC_(1.184869841747716875985070285627706339557e-8),SC_(0.9999999881513015825228312401492971437229)}},
+     {{SC_(212.0),SC_(32.0),SC_(356.0),SC_(17.0),SC_(0.1094252731548223597804382346862103310545),SC_(0.2765119079022929050668699959419940914525),SC_(0.7234880920977070949331300040580059085475)}},
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+     {{SC_(179.0),SC_(32.0),SC_(356.0),SC_(3.0),SC_(3.638337437777574370502761086672215151575e-7),SC_(3.959182183598657253017729510538745183239e-7),SC_(0.9999996040817816401342746982270489461255)}},
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+     //{{SC_(425.0),SC_(962.0),SC_(973.0),SC_(425.0),SC_(0.001730269182885526599913793807137295644412),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(425.0),SC_(962.0),SC_(973.0),SC_(424.0),SC_(0.01503533165425620233196465808246627720748),SC_(0.9982697308171144734000862061928627043556),SC_(0.0017302691828855265999137938071372956444)}},
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+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(529.0),SC_(0.001469618832174530213229780392268924311856),SC_(0.001469618832174530213229780392268924311856),SC_(0.9985303811678254697867702196077310756881)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(535.0),SC_(0.1895661732555605465573127760069913903602),SC_(0.8361800421215626051684275771149104259661),SC_(0.1638199578784373948315724228850895740339)}},
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+     //{{SC_(540.0),SC_(962.0),SC_(973.0),SC_(540.0),SC_(0.0001262256511272454676003572709234773890586),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(535.0),SC_(0.1895661732555605465573127760069913903602),SC_(0.8361800421215626051684275771149104259661),SC_(0.1638199578784373948315724228850895740339)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(529.0),SC_(0.001469618832174530213229780392268924311856),SC_(0.001469618832174530213229780392268924311856),SC_(0.9985303811678254697867702196077310756881)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(529.0),SC_(0.001469618832174530213229780392268924311856),SC_(0.001469618832174530213229780392268924311856),SC_(0.9985303811678254697867702196077310756881)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(538.0),SC_(0.01126643745784983506727998182414638859487),SC_(0.998101243928788030944820157648023435871),SC_(0.001898756071211969055179842351976564129)}},
+     {{SC_(540.0),SC_(962.0),SC_(973.0),SC_(538.0),SC_(0.01126643745784983506727998182414638859487),SC_(0.998101243928788030944820157648023435871),SC_(0.001898756071211969055179842351976564129)}},
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+     //{{SC_(797.0),SC_(334.0),SC_(973.0),SC_(322.0),SC_(6.983850717054883225806592315521964705242e-21),SC_(0.999999999999999999999173818250410551486),SC_(8.26181749589448514e-22)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(294.0),SC_(0.00008908450711833519340856244713611142471579),SC_(0.9999171648613243361673307688374104919183),SC_(0.0000828351386756638326692311625895080817)}},
+     //{{SC_(797.0),SC_(334.0),SC_(973.0),SC_(315.0),SC_(4.477512056168159048537745352957006933488e-15),SC_(0.999999999999999011103714625815853985649),SC_(9.88896285374184146014351e-16)}},
+     //{{SC_(797.0),SC_(334.0),SC_(973.0),SC_(320.0),SC_(4.669717243593948437260963126450566810095e-19),SC_(0.999999999999999999932590227929891823175),SC_(6.7409772070108176825e-20)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(236.0),SC_(6.727393238319958780368559514417208047046e-11),SC_(9.987409104666421473936613845778962623697e-11),SC_(0.999999999900125908953335785260633861542)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(293.0),SC_(0.0001723748999525510246442102635641830819704),SC_(0.9998280803542060009739222063902743804936),SC_(0.0001719196457939990260777936097256195064)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(240.0),SC_(4.208099135331936814529085955012549745131e-9),SC_(6.631352233586740245027290009470364897932e-9),SC_(0.9999999933686477664132597549727099905296)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(226.0),SC_(2.837277830784060952227181395283153835467e-16),SC_(3.753858052411669554994217970061448093714e-16),SC_(0.999999999999999624614194758833044500578)}},
+     {{SC_(797.0),SC_(334.0),SC_(973.0),SC_(184.0),SC_(1.837052002163276359154130471333208458286e-54),SC_(1.93670704001299800120056217810738417905e-54),SC_(1.0)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(28.0),SC_(6.793193827561028202902976635003367877227e-75),SC_(7.118636331915467986484970086981805616095e-75),SC_(1.0)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(53.0),SC_(7.809780788870239982842609746744039778707e-47),SC_(8.790962431354454536711420041061177586564e-47),SC_(1.0)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(320.0),SC_(3.131175927803977169916713432405745219695e-126),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(206.0),SC_(3.60219857522415158547703220100375407042e-12),SC_(0.999999999997753146803152633354062788882),SC_(2.246853196847366645937211118e-12)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(15.0),SC_(4.27439806904807633594722300172024102612e-94),SC_(4.367988093148506690674156367666866626417e-94),SC_(1.0)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(152.0),SC_(0.04826841874430430687609539751074516400646),SC_(0.3424802704976019616108159408843983798306),SC_(0.6575197295023980383891840591156016201694)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(288.0),SC_(5.01196899862618170032413245887252273368e-77),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(453.0),SC_(334.0),SC_(973.0),SC_(158.0),SC_(0.05093523942943842194436856352296911381224),SC_(0.6577681435125240236827321826001806186743),SC_(0.3422318564874759763172678173998193813257)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(240.0),SC_(5.625853848826174111387936567286920206281e-31),SC_(0.999999999999999999999999999999864966466),SC_(1.35033534e-31)}},
+     //{{SC_(453.0),SC_(334.0),SC_(973.0),SC_(307.0),SC_(1.115893441169970912376476440179941658041e-103),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(290.0),SC_(1.006620133234272771163677015430335203943e-130),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(91.0),SC_(0.000249746343620639318300239691547389701761),SC_(0.0006387097424328087819071799019558425578344),SC_(0.9993612902575671912180928200980441574422)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(161.0),SC_(2.626291609603155449015480586249378996646e-10),SC_(0.99999999980295295962658198502303195079),SC_(1.9704704037341801497696804921e-10)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(121.0),SC_(0.03842277275961047991159275112715017088171),SC_(0.8138423545996981671290697197982014986511),SC_(0.1861576454003018328709302802017985013489)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(110.0),SC_(0.04348498418098799613741149657597115317029),SC_(0.2735425234591600571117362990553155570651),SC_(0.7264574765408399428882637009446844429349)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(227.0),SC_(1.88229016834885594756235286696744970181e-51),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(134.0),SC_(0.00194550241359619551975486688720863879117),SC_(0.9959039509551882259961399094904303046884),SC_(0.0040960490448117740038600905095696953116)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(297.0),SC_(3.099170124790288236133811018964458572526e-143),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(315.0),SC_(8.745337833902361187545389118026512656014e-183),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(437.0),SC_(318.0),SC_(1209.0),SC_(184.0),SC_(1.307228949356826879223900266059585713681e-20),SC_(0.999999999999999999994796180432579251579),SC_(5.203819567420748421e-21)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(37.0),SC_(3.320625863326094090483393792106638864492e-86),SC_(3.486813684143416952377418163000021290702e-86),SC_(1.0)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(295.0),SC_(8.028270602773348094175158677072201916994e-59),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(217.0),SC_(7.446847405448950069716275639243476085211e-7),SC_(0.9999992151368775059138538229355824721045),SC_(7.848631224940861461770644175278955e-7)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(234.0),SC_(8.655813341764919370257475355332168675631e-13),SC_(0.999999999999492800168053859053519679115),SC_(5.07199831946140946480320885e-13)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(44.0),SC_(2.225193268385278826382154176975169922062e-77),SC_(2.368395859994222444389160292498856150859e-77),SC_(1.0)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(129.0),SC_(2.38378427332930781600974503246401822634e-12),SC_(3.934973888947151527521600631524818827246e-12),SC_(0.999999999996065026111052848472478399368)}},
+     {{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(107.0),SC_(5.883202459583277063909486057329520787237e-23),SC_(7.99788786613398647632239208434936393405e-23),SC_(0.999999999999999999999920021121338660135)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(291.0),SC_(3.387447252601386063089573439124401793154e-54),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(303.0),SC_(3.436705085016389481492195392327629935159e-69),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(690.0),SC_(318.0),SC_(1209.0),SC_(232.0),SC_(5.823171654984571450723327045719220660975e-12),SC_(0.999999999996359036982781341520668192317),SC_(3.640963017218658479331807683e-12)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(10.0),SC_(7.014731528920930361951810768762429681404e-57),SC_(7.215660108865651017830678595247908240443e-57),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(21.0),SC_(2.887208079689564214747175904058519741897e-42),SC_(3.0923605955326645813810452988173375984e-42),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(20.0),SC_(1.92340807552262283205625921172736368573e-43),SC_(2.051525158431003666338693947588178565032e-43),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(66.0),SC_(1.510579165415947337341767267500824992875e-8),SC_(2.407486958664755543046601156111483971513e-8),SC_(0.9999999759251304133524445695339884388852)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(115.0),SC_(0.0006608966357000263070197349769408621428164),SC_(0.9992317108820617655465532119624578489362),SC_(0.0007682891179382344534467880375421510638)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(1.0),SC_(1.758547036970495437785096784555337943894e-73),SC_(1.76298878766787314424996140415173293321e-73),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(101.0),SC_(0.0611596896401622665249392682773787940425),SC_(0.7356135902796048313964729794636385680193),SC_(0.2643864097203951686035270205363614319807)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(110.0),SC_(0.00711037858146964825555095885784703561601),SC_(0.9877367207638833770260247624792821273585),SC_(0.0122632792361166229739752375207178726415)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(0.0),SC_(4.441750697377706464864619596394989315789e-76),SC_(4.441750697377706464864619596394989315789e-76),SC_(1.0)}},
+     {{SC_(754.0),SC_(157.0),SC_(1209.0),SC_(48.0),SC_(3.336274865105840654390318803892947594077e-18),SC_(4.231951398640858500408212031832569592048e-18),SC_(0.999999999999999995768048601359141499592)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(23.0),SC_(1.256916204055012846327346469934583088434e-86),SC_(1.280543104857283708622078393598734379004e-86),SC_(1.0)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(11.0),SC_(1.746441258293646773567310499714837545838e-109),SC_(1.758881956444457902473727074497955667871e-109),SC_(1.0)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(156.0),SC_(3.911317894313098707233226403260859259024e-15),SC_(0.999999999999999914224101648539639734948),SC_(8.5775898351460360265052e-17)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(49.0),SC_(2.903655345315729957508557380199650891209e-49),SC_(3.097571274031110857392766478316885711407e-49),SC_(1.0)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(146.0),SC_(1.966253266445107381180160844299205213212e-6),SC_(0.9999992988002280865167638533917395359396),SC_(7.011997719134832361466082604640604e-7)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(120.0),SC_(0.03419666194773366390271416862729435096174),SC_(0.1100591220477970962195724476748588700464),SC_(0.8899408779522029037804275523251411299536)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(84.0),SC_(7.531982350445872263147888523308276049073e-17),SC_(9.506181734656504965593219627111945819999e-17),SC_(0.999999999999999904938182653434950344068)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(144.0),SC_(0.00001981485176354782268456402679318085722013),SC_(0.9999907950124211715622293660375036107191),SC_(9.2049875788284377706339624963892809e-6)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(108.0),SC_(0.00007133191038860805379624854022655094047227),SC_(0.0001312867330986177479712388439732547077734),SC_(0.9998687132669013822520287611560267452922)}},
+     {{SC_(972.0),SC_(157.0),SC_(1209.0),SC_(3.0),SC_(2.005087090102681754797772599049082315503e-128),SC_(2.008411383539907780338312125871301296826e-128),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(354.0),SC_(7.903260705042764488301445082606473361127e-173),SC_(8.417880629333124464958707448513829976282e-173),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(525.0),SC_(2.162810631124519549340581709730147751517e-30),SC_(3.209393798589136518333848434941341569445e-30),SC_(0.999999999999999999999999999996790606201)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(663.0),SC_(0.001447152885700053794735373991082805537555),SC_(0.9961287857259508667199771183279835477078),SC_(0.0038712142740491332800228816720164522922)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(384.0),SC_(1.100043121328119195202410338419197081057e-138),SC_(1.202354725833875441303984179115024934866e-138),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(457.0),SC_(2.028627530496037837927999765314022991323e-72),SC_(2.458531324056423604246901969344101625399e-72),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(332.0),SC_(1.039890390494686469133943817352555412314e-200),SC_(1.091134024815476999807915065508065049447e-200),SC_(1.0)}},
+     //{{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(723.0),SC_(9.584044850067058477290355360579073950829e-22),SC_(0.999999999999999999999587791549423554272),SC_(4.12208450576445728e-22)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(235.0),SC_(5.287293166825105514181323250483161211397e-360),SC_(5.3343535872986423431564523183866543041e-360),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(367.0),SC_(1.669523421668577782334312791674566033975e-157),SC_(1.796733056974522462455948368840646736733e-157),SC_(1.0)}},
+     {{SC_(786.0),SC_(2598.0),SC_(3198.0),SC_(384.0),SC_(1.100043121328119195202410338419197081057e-138),SC_(1.202354725833875441303984179115024934866e-138),SC_(1.0)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1812.0),SC_(2.076831972632489091686388421038171046837e-6),SC_(5.354493333876393887982629292665925446059e-6),SC_(0.9999946455066661236061120173707073340746)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1848.0),SC_(0.03043400366814929190463430046897554723115),SC_(0.2426930943591920127852170607127364214983),SC_(0.7573069056408079872147829392872635785017)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1692.0),SC_(1.612952941179119319800540847339295957404e-84),SC_(1.65445368566756829784568201999579763927e-84),SC_(1.0)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1762.0),SC_(1.477889118594974267435908555057207374771e-23),SC_(2.147014310066440005194093427131433710863e-23),SC_(0.9999999999999999999999785298568993356)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2206.0),SC_(1.413250104820905541938131192149992173614e-253),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2207.0),SC_(3.743653749455626400814053262752372357763e-255),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2276.0),SC_(3.355132738483096581505327776882771453977e-391),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2073.0),SC_(2.568226642878234234731469207214275586921e-96),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(2120.0),SC_(1.300039280970278491399563360418008519226e-141),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(2284.0),SC_(2598.0),SC_(3198.0),SC_(1870.0),SC_(0.0137996710604292526669597574510970453016),SC_(0.9332289351942023401992097275568239112338),SC_(0.0667710648057976598007902724431760887662)}},
+     {{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2153.0),SC_(0.0007602068090348631169150843040670180316801),SC_(0.00221724930017410584273440242818094113795),SC_(0.9977827506998258941572655975718190588621)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2275.0),SC_(2.389273478584848197542682700197857941686e-30),SC_(0.999999999999999999999999999999056225002),SC_(9.43774998e-31)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2311.0),SC_(4.496875877106921733455038361783686733759e-53),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2481.0),SC_(5.427452315078316521316606761519937268639e-252),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2523.0),SC_(3.28760233821461751336472689613619049464e-332),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2361.0),SC_(3.921679538081295786093131327204110370691e-95),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2158.0),SC_(0.004023946386086623057595170070984435297238),SC_(0.01407047793206240235127460830155934874536),SC_(0.9859295220679375976487253916984406512546)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2444.0),SC_(5.297510662712953060252841619712357096826e-194),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2226.0),SC_(1.024254921782787513607818489358590331848e-9),SC_(0.999999998983989155511863183091944810876),SC_(1.016010844488136816908055189124e-9)}},
+     //{{SC_(2714.0),SC_(2564.0),SC_(3198.0),SC_(2355.0),SC_(1.978929781286286216878147108631004914241e-89),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(420.0),SC_(7.52805744911035547937873348821232511921e-61),SC_(9.451617680125119619555226733383820418426e-61),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(517.0),SC_(1.035415089580412942515641975689141390427e-12),SC_(2.039063402388744610887027882654444741063e-12),SC_(0.999999999997960936597611255389112972117)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(611.0),SC_(0.0009740308940664704470710407807024893489785),SC_(0.9975545460464081603943666566696536662421),SC_(0.0024454539535918396056333433303463337579)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(279.0),SC_(1.595304181815312276176972504209173730097e-199),SC_(1.678177738130090668227067442053093761348e-199),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(420.0),SC_(7.52805744911035547937873348821232511921e-61),SC_(9.451617680125119619555226733383820418426e-61),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(504.0),SC_(5.550807487053911812822058829445386689796e-17),SC_(9.849409209415822224424654722895977955379e-17),SC_(0.999999999999999901505907905841777755753)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(372.0),SC_(1.605546354870612178740781050646539186862e-98),SC_(1.845937605823900204504036820035159735218e-98),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(571.0),SC_(0.01343296248841276379815843094254576483911),SC_(0.07353198708249211486109185562092974993258),SC_(0.9264680129175078851389081443790702500674)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(368.0),SC_(4.384983235539954445467700700515092170797e-102),SC_(5.013351380094734022335274851001595308115e-102),SC_(1.0)}},
+     {{SC_(730.0),SC_(2564.0),SC_(3198.0),SC_(158.0),SC_(6.235660560187736802444553036433270953835e-402),SC_(6.280258997482568173440303376158993204012e-402),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(70.0),SC_(2.075900101560929841792553796613471100774e-17),SC_(2.460459266799689492021057206125120932409e-17),SC_(0.999999999999999975395407332003105079789)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(31.0),SC_(9.871285170348988309256098933733531664211e-61),SC_(1.02277976167625044026478937816407960646e-60),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(63.0),SC_(2.267197108749237594778606213605575779119e-23),SC_(2.578750935327152372426021552106352357734e-23),SC_(0.999999999999999999999974212490646728476)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(42.0),SC_(6.007346576998807709658897241840197510143e-46),SC_(6.360318241570135121802589412647726196011e-46),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(106.0),SC_(0.1116804690473795095104669373988381764272),SC_(0.7584676353906888096439200728313197090907),SC_(0.2415323646093111903560799271686802909093)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(100.0),SC_(0.0503742119970223819663542994283390181172),SC_(0.1287616578083579316935823220930883355539),SC_(0.8712383421916420683064176779069116644461)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(8.0),SC_(1.136161661575578777389109430583966945594e-100),SC_(1.143856400465436699424699529942978060397e-100),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(39.0),SC_(9.175753504734590818744774120376180805312e-50),SC_(9.650802483228010632797337380631125909948e-50),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(38.0),SC_(4.526030374578030397726435764033594085953e-51),SC_(4.750489784934198140525632602549451046364e-51),SC_(1.0)}},
+     {{SC_(116.0),SC_(4934.0),SC_(5494.0),SC_(19.0),SC_(1.14288295995607625399252341664345765015e-79),SC_(1.164114085538017085528413782178340874898e-79),SC_(1.0)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2706.0),SC_(1.301464585707490814792535362994737105742e-71),SC_(1.48066685396468895689159213319649073755e-71),SC_(1.0)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(3014.0),SC_(2.778928853125489940813034129923433306267e-30),SC_(0.999999999999999999999999999998477829012),SC_(1.522170988e-30)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2775.0),SC_(2.980705983079855228190799398729048352087e-26),SC_(4.568054515761335768661592313440449747617e-26),SC_(0.999999999999999999999999954319454842387)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(3004.0),SC_(5.378089066435558496049070834586693555302e-26),SC_(0.999999999999999999999999966307286850134),SC_(3.3692713149866e-26)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2769.0),SC_(4.575321018475226387137075375185371548035e-29),SC_(6.770307181230632452986350148326352876378e-29),SC_(0.999999999999999999999999999932296928188)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2964.0),SC_(1.832217460276038557251397001240443135099e-12),SC_(0.999999999997907478272135988382633698282),SC_(2.092521727864011617366301718e-12)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2863.0),SC_(0.003192814456943264796090309312301672830727),SC_(0.01529732399678425733294970091036265409296),SC_(0.984702676003215742667050299089637345907)}},
+     {{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2925.0),SC_(0.0001126567239667587485681805535995818729655),SC_(0.9997091506136263206825603745115894853285),SC_(0.0002908493863736793174396254884105146715)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(2978.0),SC_(1.493072631611316664630886611666164517391e-16),SC_(0.999999999999999863933229779127230838208),SC_(1.36066770220872769161792e-16)}},
+     //{{SC_(3215.0),SC_(4934.0),SC_(5494.0),SC_(3135.0),SC_(1.364144802642130452748715021650473092386e-115),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(59.0),SC_(0.02177554343769504321391071983139287817981),SC_(0.9889720983037576750038011653281528633075),SC_(0.0110279016962423249961988346718471366925)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(34.0),SC_(2.291834910217138046227257852037994292793e-9),SC_(2.826079121524902134800638171700742220719e-9),SC_(0.9999999971739208784750978651993618282993)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(20.0),SC_(5.589240186641653949455334785805795497732e-22),SC_(6.041538257297753020668486984071999814492e-22),SC_(0.999999999999999999999395846174270224698)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(38.0),SC_(8.869462684596912381586295236545550772373e-7),SC_(1.172966728086824690764634534551048866175e-6),SC_(0.9999988270332719131753092353654654489511)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(51.0),SC_(0.08430051884656719121900050667329876824698),SC_(0.2161351933502864992680720821496335588975),SC_(0.7838648066497135007319279178503664411025)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(28.0),SC_(4.353757770671806099525426427856956157503e-14),SC_(4.999772155653313226775586682549807872326e-14),SC_(0.999999999999950002278443466867732244133)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(59.0),SC_(0.02177554343769504321391071983139287817981),SC_(0.9889720983037576750038011653281528633075),SC_(0.0110279016962423249961988346718471366925)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(54.0),SC_(0.1419850808354917019613239285390612426154),SC_(0.6036890800491267250430218325034504954109),SC_(0.3963109199508732749569781674965495045891)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(3.0),SC_(7.136954483641043093561093598618884335191e-47),SC_(7.193910796612041799520506176766000163643e-47),SC_(1.0)}},
+     {{SC_(4679.0),SC_(63.0),SC_(5494.0),SC_(36.0),SC_(5.137428541711846166022551383288380953976e-8),SC_(6.540826512244440138867446454619929204767e-8),SC_(0.9999999345917348775555986113255354538007)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(55.0),SC_(0.07515584769838484415224427111536446726427),SC_(0.9064496805743194682928292408977067592803),SC_(0.0935503194256805317071707591022932407197)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(36.0),SC_(3.006028587230163412087950484735104776256e-6),SC_(4.134445889095858247521380401532958569624e-6),SC_(0.9999958655541109041417524786195984670414)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(7.0),SC_(1.180925335910771625584177682408114761433e-34),SC_(1.211941484403213408973968966482121921302e-34),SC_(0.999999999999999999999999999999999878806)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(61.0),SC_(0.0003058214478756612288237352875129947033387),SC_(0.9999528980850807036913573016612812428566),SC_(0.0000471019149192963086426983387187571434)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(30.0),SC_(5.434404923577365920603519544002198527592e-10),SC_(6.688363101915135304240265747428239721706e-10),SC_(0.999999999331163689808486469575973425257)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(1.0),SC_(1.107542894346697539367034550776316964086e-45),SC_(1.111193352974940834453276796961305989348e-45),SC_(1.0)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(52.0),SC_(0.1308264751086438221424092026318742903987),SC_(0.6067495681363828513659178756682145346319),SC_(0.3932504318636171486340821243317854653681)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(3.0),SC_(1.612844731098380416414479224652978509006e-41),SC_(1.629469137307708933371779117639634427735e-41),SC_(1.0)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(7.0),SC_(1.180925335910771625584177682408114761433e-34),SC_(1.211941484403213408973968966482121921302e-34),SC_(0.999999999999999999999999999999999878806)}},
+     {{SC_(4498.0),SC_(63.0),SC_(5494.0),SC_(31.0),SC_(2.681268904938900886084410840737050460789e-9),SC_(3.35010521513041441650843741547987443296e-9),SC_(0.9999999966498947848695855834915625845201)}},
+     {{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(1006.0),SC_(6.339234104612103924818478600804223240535e-190),SC_(9.381728684405531114969361200221656280534e-190),SC_(1.0)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(3075.0),SC_(3.677152045501920304167491485472390252599e-444),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(1930.0),SC_(7.021619514016001433795351034994363459872e-7),SC_(0.9999961074340315071158318618094539709261),SC_(3.8925659684928841681381905460290739e-6)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(3670.0),SC_(3.023889360679502938528761389063297095916e-974),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(3396.0),SC_(1.518102375990395835193698956978291603351e-701),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(4252.0),SC_(3.59537869952930700205997971685748921757e-1747),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(2892.0),SC_(3.296953405682328274817830825632043002187e-325),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(4634.0),SC_(2.939967325749253243319695099153624196492e-2452),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(566.0),SC_(9.658759281646508651392504855467279628581e-481),SC_(1.121789646189748754673629264448480612184e-480),SC_(1.0)}},
+     {{SC_(4927.0),SC_(5709.0),SC_(15582.0),SC_(578.0),SC_(1.539338296002620482584150731931745370605e-470),SC_(1.796125390374408977243663785953386517648e-470),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3478.0),SC_(1.006405922085765327249426805877543752218e-434),SC_(1.189508163301917338844808154550173850989e-434),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3102.0),SC_(1.801588237261977931271087511792575138713e-806),SC_(1.926905984951753467315647688105897884209e-806),SC_(1.0)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(4836.0),SC_(1.279500290415770784796394928901921281391e-30),SC_(0.999999999999999999999999999997992139054),SC_(2.007860946e-30)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(5672.0),SC_(8.211075716556983834494281939126325961014e-631),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(2739.0),SC_(7.942740543104711231249902212637227645973e-1338),SC_(8.056526098952320234215083963959077928992e-1338),SC_(1.0)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(5691.0),SC_(2.469075354107191191986179778263512079e-668),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(2722.0),SC_(9.779333008745284830383984850117446014205e-1370),SC_(9.901538457186077459455392963727220943833e-1370),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3463.0),SC_(5.30615834698657866630857578903211416722e-447),SC_(6.238314045857898958032074360456653750184e-447),SC_(1.0)}},
+     {{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(3065.0),SC_(3.401470422855740308061231647970018418367e-851),SC_(3.613018073107107137747060327519176948069e-851),SC_(1.0)}},
+     //{{SC_(12463.0),SC_(5709.0),SC_(15582.0),SC_(5669.0),SC_(2.357007720699358431877989506299284244468e-625),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(3263.0),SC_(4.435321459779290899993711683502778935079e-45),SC_(9.740316269301809627744830862498348157159e-45),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2797.0),SC_(1.633335582290992118308319188940666290148e-251),SC_(2.142953554897797330733201509747662022608e-251),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2691.0),SC_(5.495849840533559961957052425968731722353e-322),SC_(6.836845529230566706607480161453931176945e-322),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2431.0),SC_(1.993828118934155932497960035027714551599e-533),SC_(2.263920531776472531722580833266889159382e-533),SC_(1.0)}},
+     //{{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(4311.0),SC_(1.179187250020158315490073292121582351995e-305),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2326.0),SC_(3.299330524432867192121564820200580059945e-635),SC_(3.650095231694719949668862317327622630577e-635),SC_(1.0)}},
+     //{{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(3779.0),SC_(2.811813909295360559735426635527205346905e-20),SC_(0.999999999999999999947768931875694491675),SC_(5.2231068124305508325e-20)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(2273.0),SC_(2.121966223891087340540365503793597463055e-690),SC_(2.320974324298723210214732910188800714753e-690),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(1704.0),SC_(4.26047773610794944627559108769983951047e-1481),SC_(4.328185563225618905397135819823042898001e-1481),SC_(1.0)}},
+     {{SC_(4438.0),SC_(12575.0),SC_(15582.0),SC_(3187.0),SC_(2.702643231114555571113233202034373770661e-67),SC_(5.150995278963108588055631364450502244211e-67),SC_(1.0)}},
+     {{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(8946.0),SC_(1.703165566721353814922501297682510774634e-56),SC_(3.075137845246061197300125409500262963551e-56),SC_(1.0)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10716.0),SC_(4.143757744937962174939769535710512245796e-865),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(11146.0),SC_(3.445253481408347317737434293597176336291e-1499),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10556.0),SC_(1.244863949482443666518124566788365799282e-682),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10713.0),SC_(1.872268680237180672431400271923629604662e-861),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(11404.0),SC_(2.623521946917958826310697056679792248359e-2035),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(8611.0),SC_(5.902950421727860032307027070001849738945e-266),SC_(6.527272372809071671043471044598854410339e-266),SC_(1.0)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(9382.0),SC_(8.350769503138113607048006351288674200386e-8),SC_(0.9999996811470715898090812142957207291651),SC_(3.188529284101909187857042792708349e-7)}},
+     //{{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(10093.0),SC_(1.525454564673778577778516320623498508002e-283),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(11491.0),SC_(12575.0),SC_(15582.0),SC_(8616.0),SC_(6.463719063528862326901595813952505767646e-261),SC_(7.180069731161748312282673058422249863972e-261),SC_(1.0)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(2123.0),SC_(1.051598000012254716392485236070905585228e-268),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1391.0),SC_(6.397691613869390399471557572785519528862e-23),SC_(0.999999999999999999999847139456387039014),SC_(1.52860543612960986e-22)}},
+     {{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(802.0),SC_(9.63468927291374065983956254885634959026e-36),SC_(2.470316012686340183657552031377716990407e-35),SC_(0.999999999999999999999999999999999975297)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1822.0),SC_(1.14085183245777964221003544061732820553e-135),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1909.0),SC_(1.206331285434620553935142382532461215726e-169),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(2836.0),SC_(1.705760756379935137738292356686227831161e-756),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(4456.0),SC_(1.711211733109732363933699044037411967215e-2965),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(1920.0),SC_(3.348573725136031902872466248413502832256e-174),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(999.0),SC_(2.138122084622344367578512770528568747903e-7),SC_(1.25417155689383511127926419540770446068e-6),SC_(0.9999987458284431061648887207358045922955)}},
+     {{SC_(4716.0),SC_(7375.0),SC_(30916.0),SC_(874.0),SC_(2.821590510628816486988008063151194817168e-22),SC_(9.004100327904705235159583716808495439711e-22),SC_(0.999999999999999999999099589967209529476)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(2191.0),SC_(2.413371615050103770980626165031023930979e-368),SC_(3.556509829562483740914436969008727592467e-368),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(1005.0),SC_(9.894980874153372595761820694699023799935e-1236),SC_(1.096258863414571957167577684620602424505e-1235),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(2746.0),SC_(4.118337082904282114829472199943034115996e-148),SC_(8.174104688972092189023381983494630349758e-148),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(3194.0),SC_(3.183471994948445071033289373223870925742e-44),SC_(1.024132845469072232573725203929695789012e-43),SC_(1.0)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(7300.0),SC_(6.77164027932829532370109212260862859305e-2502),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(6833.0),SC_(4.1396195968933323171054600327897582287e-1727),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(219.0),SC_(1.881993729177212164637026875271803426257e-2271),SC_(1.913288470864454992848774406953287553205e-2271),SC_(1.0)}},
+     {{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(1946.0),SC_(6.059304806185264237722374088214508359474e-500),SC_(8.202297432646816246455573369592948373176e-500),SC_(1.0)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(4530.0),SC_(4.852465934382930186442067232117977677403e-107),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(15559.0),SC_(7375.0),SC_(30916.0),SC_(5431.0),SC_(6.278064131566577219092533432665204627255e-475),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23921.0),SC_(5.01571344812621193474425641386483940301e-149),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23731.0),SC_(3.894076550564398247369316726697188054062e-29),SC_(0.999999999999999999999999999973526541057),SC_(2.6473458943e-29)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23948.0),SC_(9.022982528814208465718080395862041827201e-174),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23785.0),SC_(6.501467887055533489989990433122758223866e-54),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(24127.0),SC_(1.211500213651858537165259088551713152938e-408),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23574.0),SC_(0.002023261955389159984206469053893655644769),SC_(0.008763296757879097076121904722363852118327),SC_(0.9912367032421209029238780952776361478817)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(24103.0),SC_(1.502246684732592841317797329598945415434e-366),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23909.0),SC_(1.089392278845805508791127031194856769452e-138),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23557.0),SC_(9.957825121836800401583387727523356183938e-6),SC_(0.00002883229031890871323816650314839586412251),SC_(0.9999711677096810912867618334968516041359)}},
+     //{{SC_(24162.0),SC_(30197.0),SC_(30916.0),SC_(23936.0),SC_(1.630337789888062205675224945299028404172e-162),SC_(1.0),SC_(0.e-40)}},
+     //{{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10705.0),SC_(4.214045751475557604377397079532975048913e-35),SC_(0.999999999999999999999999999999999980825),SC_(1.9175e-35)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10582.0),SC_(0.006534800831460427393593310723134559529149),SC_(0.9658894847256837655400445750384213508154),SC_(0.0341105152743162344599554249615786491846)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10101.0),SC_(5.964481460925906600293895095971574740803e-313),SC_(6.002643903347307383282629300548537979569e-313),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10521.0),SC_(0.0003201276134018164345968425589560100704715),SC_(0.001414856594141071402937765727589764302753),SC_(0.9985851434058589285970622342724102356972)}},
+     //{{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10794.0),SC_(1.798503936868023925360898291540942571343e-107),SC_(1.0),SC_(0.e-40)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10167.0),SC_(2.21474798565952254789052561462298471985e-210),SC_(2.353519890373409235647877343002777258109e-210),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10226.0),SC_(1.723644214696431707714898254406246310588e-147),SC_(1.951895832131084667079719129033853235618e-147),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10176.0),SC_(1.32687759331156231792363873935966188326e-199),SC_(1.422254878584869415443690163035370486592e-199),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10264.0),SC_(6.680128539884872883498465278631658091013e-115),SC_(7.965521820715383925417088201148941207152e-115),SC_(1.0)}},
+     {{SC_(10811.0),SC_(30197.0),SC_(30916.0),SC_(10443.0),SC_(7.641514565676484825234423253217707077378e-20),SC_(1.528376558915782740567832769458233142503e-19),SC_(0.999999999999999999847162344108421725943)}}
+  }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/hypot_test.cpp b/src/boost/libs/math/test/hypot_test.cpp
new file mode 100644
index 000000000..707a42516
--- /dev/null
+++ b/src/boost/libs/math/test/hypot_test.cpp
@@ -0,0 +1,130 @@
+//  (C) Copyright John Maddock 2005.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_TEST_MAIN 
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+
+#include <cmath>
+
+#ifdef BOOST_NO_STDC_NAMESPACE
+namespace std{ using ::sqrt; }
+#endif
+
+//
+// test_boundaries:
+// This is an accuracy test, sets the two arguments to hypot to just
+// above or just below various boundary conditions, and checks the accuracy
+// of the result.  The values computed at double precision will use a 
+// different computation method to those computed at float precision:
+// as long as these compute the same values then everything's OK.
+//
+// Tolerance is 2*epsilon, expressed here as a percentage:
+//
+static const float tolerance = 200 * (std::numeric_limits<float>::epsilon)();
+const float boundaries[] = {
+   0,
+   1,
+   2,
+   (std::numeric_limits<float>::max)()/2,
+   (std::numeric_limits<float>::min)(),
+   std::numeric_limits<float>::epsilon(),
+   std::sqrt((std::numeric_limits<float>::max)()) / 2,
+   std::sqrt((std::numeric_limits<float>::min)()),
+   std::sqrt((std::numeric_limits<float>::max)()) / 4,
+   std::sqrt((std::numeric_limits<float>::min)()) * 2,
+};
+
+void do_test_boundaries(float x, float y)
+{
+   float expected = static_cast<float>((boost::math::hypot)(
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      static_cast<long double>(x), 
+      static_cast<long double>(y)));
+#else
+      static_cast<double>(x), 
+      static_cast<double>(y)));
+#endif
+   float found = (boost::math::hypot)(x, y);
+   BOOST_CHECK_CLOSE(expected, found, tolerance);
+}
+
+void test_boundaries(float x, float y)
+{
+   do_test_boundaries(x, y);
+   do_test_boundaries(-x, y); 
+   do_test_boundaries(-x, -y);
+   do_test_boundaries(x, -y);
+}
+
+void test_boundaries(float x)
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(x, boundaries[i]);
+      test_boundaries(x, boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(x, boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
+   }
+}
+
+void test_boundaries()
+{
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      test_boundaries(boundaries[i]);
+      test_boundaries(boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
+      test_boundaries(boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
+   }
+}
+
+void test_spots()
+{
+   static const float zero = 0;
+   for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
+   {
+      BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], zero), std::fabs(boundaries[i]));
+      BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], zero), std::fabs(-boundaries[i]));
+      BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], -zero), std::fabs(boundaries[i]));
+      BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -zero), std::fabs(-boundaries[i]));
+      for(unsigned j = 0; j < sizeof(boundaries)/sizeof(float); ++j)
+      {
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], boundaries[j]), boost::math::hypot(boundaries[j], boundaries[i]));
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], boundaries[j]), boost::math::hypot(boundaries[i], -boundaries[j]));
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -boundaries[j]), boost::math::hypot(-boundaries[j], -boundaries[i]));
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -boundaries[j]), boost::math::hypot(-boundaries[i], boundaries[j]));
+      }
+   }
+   if((std::numeric_limits<float>::has_infinity) && (std::numeric_limits<float>::has_quiet_NaN))
+   {
+      static const float nan = std::numeric_limits<float>::quiet_NaN();
+      static const float inf = std::numeric_limits<float>::infinity();
+      BOOST_CHECK_EQUAL(boost::math::hypot(inf, nan), inf);
+      BOOST_CHECK_EQUAL(boost::math::hypot(-inf, nan), inf);
+      BOOST_CHECK_EQUAL(boost::math::hypot(nan, inf), inf);
+      BOOST_CHECK_EQUAL(boost::math::hypot(nan, -inf), inf);
+      for(unsigned j = 0; j < sizeof(boundaries)/sizeof(float); ++j)
+      {
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[j], inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[j], inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(inf, boundaries[j]), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(inf, -boundaries[j]), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[j], -inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[j], -inf), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-inf, boundaries[j]), inf);
+         BOOST_CHECK_EQUAL(boost::math::hypot(-inf, -boundaries[j]), inf);
+      }
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_boundaries();
+   test_spots();
+}
diff --git a/src/boost/libs/math/test/ibeta_data.ipp b/src/boost/libs/math/test/ibeta_data.ipp
new file mode 100644
index 000000000..5a0bc54f3
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 500> ibeta_data = { {
+      {{ SC_(0.115105740725994110107421875), SC_(27.2666988372802734375), SC_(0.913345992565155029296875), SC_(5.624704191155661855917495760118550518449), SC_(0.4314397017151442751805333868688125395477e-30), SC_(0.9999999999999999999999999999999232955748), SC_(0.7670442516666816870156810539487652961219e-31) }}, 
+      {{ SC_(0.4634225666522979736328125), SC_(3.4317314624786376953125), SC_(0.24176712334156036376953125), SC_(0.9303555938707241359170267278058957882937), SC_(0.1886421251845313169553337074104181129545), SC_(0.8314186687138222136543152962911694480678), SC_(0.1685813312861777863456847037088305519322) }}, 
+      {{ SC_(0.671531736850738525390625), SC_(23.0631923675537109375), SC_(0.908442795276641845703125), SC_(0.1643292146089890181565750406388380802073), SC_(0.5052411887003343404176234528376913340103e-25), SC_(0.9999999999999999999999996925432949323565), SC_(0.3074567050676435237921994231096931905187e-24) }}, 
+      {{ SC_(1.190207004547119140625), SC_(72.69547271728515625), SC_(0.19963125884532928466796875), SC_(0.00559660970823449190019737902600132825008), SC_(0.9534862442725159579596623739736284684983e-9), SC_(0.9999998296314855714196326655015050202504), SC_(0.170368514428580367334498494979749619704e-6) }}, 
+      {{ SC_(1.54034411907196044921875), SC_(40.498138427734375), SC_(0.3462987840175628662109375), SC_(0.002938208699935392440146870722865374716805), SC_(0.4756199818667749603935341902256155409499e-9), SC_(0.9999998381258945674369009890750742808727), SC_(0.1618741054325630990109249257191272986861e-6) }}, 
+      {{ SC_(1.54871237277984619140625), SC_(81.61170196533203125), SC_(0.678767263889312744140625), SC_(0.0009678001476208569653032183047916640238319), SC_(0.559750588331056488014869497117437903989e-42), SC_(0.9999999999999999999999999999999999999994), SC_(0.5783741506002983362466276981258467292731e-39) }}, 
+      {{ SC_(2.251259326934814453125), SC_(4.89832019805908203125), SC_(0.79967319965362548828125), SC_(0.02442974530836840837734643304711539009959), SC_(0.6178004958231200706879909723189065523108e-4), SC_(0.9974774927784456570206007053676991220858), SC_(0.002522507221554342979399294632300877914206) }}, 
+      {{ SC_(2.8674151897430419921875), SC_(59.60579681396484375), SC_(0.575251102447509765625), SC_(0.1379388062890870134560096364710423528806e-4), SC_(0.4175062181357307894530268550925291936655e-24), SC_(0.9999999999999999999697325046252222304163), SC_(0.3026749537477776958367907987526182267324e-19) }}, 
+      {{ SC_(2.922028064727783203125), SC_(26.592067718505859375), SC_(0.4733414947986602783203125), SC_(0.000115508766121651474024307828538813831237), SC_(0.3796145990560169217472146784816274010906e-9), SC_(0.9999967135537481783877208030551367243803), SC_(0.3286446251821612279196944863275619723855e-5) }}, 
+      {{ SC_(3.0540943145751953125), SC_(42.39783477783203125), SC_(0.546926796436309814453125), SC_(0.2096012544527507305106729688625599112948e-4), SC_(0.1877791782437026107953033098682180353671e-16), SC_(0.9999999999991041123359027203750870846506), SC_(0.8958876640972796249129153494479842438984e-12) }}, 
+      {{ SC_(3.183284282684326171875), SC_(31.6550426483154296875), SC_(0.077649272978305816650390625), SC_(0.1607872346465483285868910326819359030108e-4), SC_(0.1977878368269834064074165442158816223284e-4), SC_(0.4484060589761797174626811812282881431733), SC_(0.5515939410238202825373188187717118568267) }}, 
+      {{ SC_(3.2600824832916259765625), SC_(6.254324436187744140625), SC_(0.743158161640167236328125), SC_(0.003877690538964813730515800489545485233393), SC_(0.1849121735270227071877446919569946133643e-4), SC_(0.9952540157237994764714787832333762033991), SC_(0.004745984276200523528521216766623796600881) }}, 
+      {{ SC_(3.360383510589599609375), SC_(52.89206695556640625), SC_(0.81474220752716064453125), SC_(0.4293999091288321831907350544825170972342e-5), SC_(0.219834444785251736057188895022180823046e-40), SC_(0.9999999999999999999999999999999999948804), SC_(0.5119573621504776597210994477995646618901e-35) }}, 
+      {{ SC_(3.4446079730987548828125), SC_(66.3605499267578125), SC_(0.096544884145259857177734375), SC_(0.1474102736157956762304488717716147895171e-5), SC_(0.8307589573110103561152668922877179107493e-7), SC_(0.9466497330301024630866270516938583276551), SC_(0.05335026696989753691337294830614167234487) }}, 
+      {{ SC_(3.57116794586181640625), SC_(36.129398345947265625), SC_(0.046266771852970123291015625), SC_(0.1377307832566030389205420277524302194542e-5), SC_(0.7311615977995211503865956731396528899981e-5), SC_(0.1585130520872948273412729049865238748685), SC_(0.8414869479127051726587270950134761251315) }}, 
+      {{ SC_(3.5762732028961181640625), SC_(80.64510345458984375), SC_(0.92886126041412353515625), SC_(0.5195049488417132478527686360715001708256e-6), SC_(0.2753515092058996575690963489155893940797e-94), SC_(1.0), SC_(0.530026729908584311094876547172139505977e-88) }}, 
+      {{ SC_(3.7738864421844482421875), SC_(88.39685821533203125), SC_(0.50323975086212158203125), SC_(0.1936358080461588466938455069456644840687e-6), SC_(0.2398889407764917341676367096721572497995e-29), SC_(0.9999999999999999999999876113337095529831), SC_(0.1238866629044701687424663630369236796346e-22) }}, 
+      {{ SC_(4.24311351776123046875), SC_(87.180511474609375), SC_(0.594544112682342529296875), SC_(0.4437344750551262251613273178405984994839e-7), SC_(0.1440454807297923187241336158457814894158e-36), SC_(0.9999999999999999999999999999967537910884), SC_(0.3246208911577068569804118543592340399042e-29) }}, 
+      {{ SC_(4.302380084991455078125), SC_(90.84336090087890625), SC_(0.3500487506389617919921875), SC_(0.3088652285368942607072200051700648121738e-7), SC_(0.3690261013058404601783388874804478116026e-20), SC_(0.9999999999998805219664725983124099139968), SC_(0.1194780335274016875900860032189749548454e-12) }}, 
+      {{ SC_(4.61713886260986328125), SC_(14.9113979339599609375), SC_(0.081217654049396514892578125), SC_(0.7777055873291569797054048770916368511548e-6), SC_(0.3050394533002200879235444490511467363605e-4), SC_(0.02486139844038035518263312395393841283781), SC_(0.9751386015596196448173668760460615871622) }}, 
+      {{ SC_(4.965442657470703125), SC_(82.34554290771484375), SC_(0.3013162314891815185546875), SC_(0.6232388896113233687607109871883895899506e-8), SC_(0.1757129987256299654131721919929978230207e-16), SC_(0.9999999971806477233823653568856711213164), SC_(0.2819352276617634643114328878683629953111e-8) }}, 
+      {{ SC_(5.26769924163818359375), SC_(94.65772247314453125), SC_(0.695263326168060302734375), SC_(0.1253627465271932390249428025335036505934e-8), SC_(0.3222623306430773933281977469822481222259e-51), SC_(1.0), SC_(0.2570638722989156911038000229513107483269e-42) }}, 
+      {{ SC_(5.39501190185546875), SC_(35.276241302490234375), SC_(0.184897840023040771484375), SC_(0.1209301166284995442719813406613075674954e-6), SC_(0.2280352502477099546779864717478435018705e-7), SC_(0.8413487283667377937115292338183332209645), SC_(0.1586512716332622062884707661816667790355) }}, 
+      {{ SC_(5.961885929107666015625), SC_(95.24720001220703125), SC_(0.587086021900177001953125), SC_(0.1538572075523752828118796821074440813526e-9), SC_(0.2000258675867804464202225099585025891472e-39), SC_(0.9999999999999999999999999999986999252699), SC_(0.1300074730127210093509800162113431715462e-29) }}, 
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+      {{ SC_(95.02220916748046875), SC_(49.05890655517578125), SC_(0.095445640385150909423828125), SC_(0.1014296591921831167485134416924426771213e-100), SC_(0.3255049410331931492209518274123644776711e-40), SC_(0.3116071260553918747274711046692546109596e-60), SC_(1.0) }}, 
+      {{ SC_(95.16304779052734375), SC_(87.8050537109375), SC_(0.68924558162689208984375), SC_(0.3591386390171570330217034323842412396658e-55), SC_(0.3500715414450358091351879835688815561025e-61), SC_(0.9999990252477395079575524827693321958401), SC_(0.974752260492042447517230667804159929911e-6) }}, 
+      {{ SC_(95.61345672607421875), SC_(65.196868896484375), SC_(0.3377856314182281494140625), SC_(0.4333859722014505980501156640750924994333e-58), SC_(0.2842452980133411144067320657040665393916e-47), SC_(0.1524690030842662316266754200421873949762e-10), SC_(0.9999999999847530996915733768373324579958) }}, 
+      {{ SC_(95.71669769287109375), SC_(10.986175537109375), SC_(0.0333652384579181671142578125), SC_(0.3372800085083612728245814732509161788213e-143), SC_(0.3482559491895011198520376372913856125954e-15), SC_(0.9684831208004220966663378958012853318006e-128), SC_(1.0) }}, 
+      {{ SC_(95.7506866455078125), SC_(99.6461334228515625), SC_(0.01787211932241916656494140625), SC_(0.7925981877666200622765224435998813190314e-170), SC_(0.5647605029015430138123291624587681412693e-59), SC_(0.140342354625460930114931308563781999924e-110), SC_(1.0) }}, 
+      {{ SC_(95.7693939208984375), SC_(72.4906005859375), SC_(0.872441589832305908203125), SC_(0.4388142633049923644259492345034689476008e-50), SC_(0.6107180919399320674461648364002632421015e-72), SC_(0.9999999999999999999998608253780676540823), SC_(0.1391746219323459176926850046732349646854e-21) }}, 
+      {{ SC_(95.92913818359375), SC_(58.095668792724609375), SC_(0.1387105882167816162109375), SC_(0.1152963776753726723714207279128040302867e-87), SC_(0.1964676344164222838212765957522296319386e-44), SC_(0.5868466733355003420468381699190122888759e-43), SC_(1.0) }}, 
+      {{ SC_(95.94924163818359375), SC_(50.36627197265625), SC_(0.043119497597217559814453125), SC_(0.1205105244843612170118997464853132481334e-133), SC_(0.5379464386572334970803452281919284791023e-41), SC_(0.2240195599866172144586170468512280290734e-92), SC_(1.0) }}, 
+      {{ SC_(95.974395751953125), SC_(57.37546539306640625), SC_(0.12707412242889404296875), SC_(0.5509848073830600725513709899102562059558e-91), SC_(0.3907686547756237468365485949936283442849e-44), SC_(0.1410002569677527400672535793471909277884e-46), SC_(1.0) }}, 
+      {{ SC_(96.18981170654296875), SC_(97.99256134033203125), SC_(0.240151941776275634765625), SC_(0.1047338624529782694403256402509401725883e-72), SC_(0.1274994550921882776529206680489908409938e-58), SC_(0.8214455691379210750681642067899947422341e-14), SC_(0.9999999999999917855443086207892493183579) }}, 
+      {{ SC_(96.3088531494140625), SC_(60.5928192138671875), SC_(0.488668859004974365234375), SC_(0.1173424000075725323832188274859866785982e-48), SC_(0.1455980145613272932867048313858796718915e-45), SC_(0.0008052850602336237442086193512349341441502), SC_(0.9991947149397663762557913806487650658558) }}, 
+      {{ SC_(96.48885345458984375), SC_(96.76949310302734375), SC_(0.0185489989817142486572265625), SC_(0.1435982258016881740011473579074188068313e-169), SC_(0.2405150906117843685469869117960864428404e-58), SC_(0.5970445573141612300096758741661990216964e-111), SC_(1.0) }}, 
+      {{ SC_(96.86492919921875), SC_(33.23390960693359375), SC_(0.822622716426849365234375), SC_(0.3896126830362454261608108680217826494112e-32), SC_(0.575732196536069935996623203779523859796e-34), SC_(0.985438141759546703124794958382314271643), SC_(0.01456185824045329687520504161768572835698) }}, 
+      {{ SC_(97.0592803955078125), SC_(98.11096954345703125), SC_(0.0319296605885028839111328125), SC_(0.2998869565906142596550640980837126732485e-148), SC_(0.6376859616143078939902779400501204314318e-59), SC_(0.4702737313386163666185665116771431706157e-89), SC_(1.0) }}, 
+      {{ SC_(97.297454833984375), SC_(14.22172069549560546875), SC_(0.62565600872039794921875), SC_(0.4586358283116612515366441141888728005777e-27), SC_(0.2345703889146973155066568361856950228888e-18), SC_(0.1955216212655529321825058592196298245196e-8), SC_(0.9999999980447837873444706781749414078037) }}, 
+      {{ SC_(97.86806488037109375), SC_(23.2400360107421875), SC_(0.580998599529266357421875), SC_(0.4847838580994435860838596547982930354105e-33), SC_(0.1112477977342289130957389321924258614326e-25), SC_(0.4357693786731819507126485869030923714513e-7), SC_(0.9999999564230621326818049287351413096908) }}, 
+      {{ SC_(97.9748382568359375), SC_(35.46381378173828125), SC_(0.43892610073089599609375), SC_(0.2873257135274528993245007467042681059185e-45), SC_(0.1374390079964617837539348395028823804413e-33), SC_(0.2090568883720763685344749440226251580624e-11), SC_(0.9999999999979094311162792363146552505598) }}, 
+      {{ SC_(98.16379547119140625), SC_(49.7869415283203125), SC_(0.7558143138885498046875), SC_(0.3971958028052333965608830276024843615237e-41), SC_(0.2499072385121668210487453408177231300208e-43), SC_(0.9937475495928450856212412081950470642903), SC_(0.006252450407154914378758791804952935709679) }}, 
+      {{ SC_(98.2663421630859375), SC_(89.943603515625), SC_(0.79222810268402099609375), SC_(0.9703020130843336605117450383730907257821e-57), SC_(0.9342902223591938348587142832364306200003e-73), SC_(0.9999999999999999037114001866973304919699), SC_(0.962885998133026695080301263760365136479e-16) }}, 
+      {{ SC_(98.3052520751953125), SC_(55.438030242919921875), SC_(0.711244642734527587890625), SC_(0.9148851548605620864233078020635181477222e-44), SC_(0.2676495491351328940765645110959640891094e-45), SC_(0.9715765392732393467357708912202385044325), SC_(0.02842346072676065326422910877976149556749) }}, 
+      {{ SC_(98.4063720703125), SC_(29.338825225830078125), SC_(0.679551780223846435546875), SC_(0.7234863966571889292957198162735201822678e-32), SC_(0.6644618653733999798962457728260649872896e-30), SC_(0.01077102753452599131081375931128823317142), SC_(0.9892289724654740086891862406887117668286) }}, 
+      {{ SC_(98.79819488525390625), SC_(76.92431640625), SC_(0.498594343662261962890625), SC_(0.8547721404370727048220658289647343126557e-54), SC_(0.1805898574966365262303134358305105727825e-52), SC_(0.04519314170159976658173488989109380979713), SC_(0.9548068582984002334182651101089061902029) }}, 
+      {{ SC_(99.61347198486328125), SC_(44.7584381103515625), SC_(0.2373598515987396240234375), SC_(0.4979063210905853961279025180666656173251e-69), SC_(0.6862752454273526015268742998992848087559e-39), SC_(0.7255198616125700349403582088841519836769e-30), SC_(0.9999999999999999999999999999992744801384) }}, 
+      {{ SC_(99.90804290771484375), SC_(67.421295166015625), SC_(0.73282539844512939453125), SC_(0.4022690295295743797802135225234299639637e-49), SC_(0.3062978751814600527884142222488817508074e-53), SC_(0.9999238632526556439070749307531342152962), SC_(0.7613674734435609292506924686578470377178e-4) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/ibeta_derivative_data.ipp b/src/boost/libs/math/test/ibeta_derivative_data.ipp
new file mode 100644
index 000000000..fe84b871b
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 500> ibeta_derivative_data = { {
+{{ SC_(1.1510574072599411010742187500000000000000e-01), SC_(2.7266698837280273437500000000000000000000e+01), SC_(9.1334599256515502929687500000000000000000e-01), SC_(2.4207408975542468276471409063557340041241e-29) }},
+{{ SC_(4.6342256665229797363281250000000000000000e-01), SC_(3.4317314624786376953125000000000000000000e+00), SC_(2.4176712334156036376953125000000000000000e-01), SC_(9.7664819482450522256458342803161978618775e-01) }},
+{{ SC_(6.7153173685073852539062500000000000000000e-01), SC_(2.3063192367553710937500000000000000000000e+01), SC_(9.0844279527664184570312500000000000000000e-01), SC_(7.7554246601041672683444057212131973997266e-23) }},
+{{ SC_(1.1902070045471191406250000000000000000000e+00), SC_(7.2695472717285156250000000000000000000000e+01), SC_(1.9963125884532928466796875000000000000000e-01), SC_(1.5321906748924114891745060032886406946431e-05) }},
+{{ SC_(1.5403441190719604492187500000000000000000e+00), SC_(4.0498138427734375000000000000000000000000e+01), SC_(3.4629878401756286621093750000000000000000e-01), SC_(9.7923759539017191739927492689320033465430e-06) }},
+{{ SC_(1.5487123727798461914062500000000000000000e+00), SC_(8.1611701965332031250000000000000000000000e+01), SC_(6.7876726388931274414062500000000000000000e-01), SC_(1.4648121492813252292768373177014159640882e-37) }},
+{{ SC_(2.2512593269348144531250000000000000000000e+00), SC_(4.8983201980590820312500000000000000000000e+00), SC_(7.9967319965362548828125000000000000000000e-01), SC_(5.8540689042279303280934853157536449193018e-02) }},
+{{ SC_(2.8674151897430419921875000000000000000000e+00), SC_(5.9605796813964843750000000000000000000000e+01), SC_(5.7525110244750976562500000000000000000000e-01), SC_(4.1520494356899987293263524909301504576644e-18) }},
+{{ SC_(2.9220280647277832031250000000000000000000e+00), SC_(2.6592067718505859375000000000000000000000e+01), SC_(4.7334149479866027832031250000000000000000e-01), SC_(1.5360804982518247618055790218134454683015e-04) }},
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+{{ SC_(3.3603835105895996093750000000000000000000e+00), SC_(5.2892066955566406250000000000000000000000e+01), SC_(8.1474220752716064453125000000000000000000e-01), SC_(1.4471713407452094696775820779224978323052e-33) }},
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+{{ SC_(3.5711679458618164062500000000000000000000e+00), SC_(3.6129398345947265625000000000000000000000e+01), SC_(4.6266771852970123291015625000000000000000e-02), SC_(8.0630029089023351756097144189618087805396e+00) }},
+{{ SC_(3.5762732028961181640625000000000000000000e+00), SC_(8.0645103454589843750000000000000000000000e+01), SC_(9.2886126041412353515625000000000000000000e-01), SC_(5.9940422450869549098960555214416305547326e-86) }},
+{{ SC_(3.7738864421844482421875000000000000000000e+00), SC_(8.8396858215332031250000000000000000000000e+01), SC_(5.0323975086212158203125000000000000000000e-01), SC_(2.1377651869822463634780753524564708635893e-21) }},
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+{{ SC_(5.3950119018554687500000000000000000000000e+00), SC_(3.5276241302490234375000000000000000000000e+01), SC_(1.8489784002304077148437500000000000000000e-01), SC_(3.7781645456892386738803801132041850052157e+00) }},
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+
diff --git a/src/boost/libs/math/test/ibeta_derivative_int_data.ipp b/src/boost/libs/math/test/ibeta_derivative_int_data.ipp
new file mode 100644
index 000000000..946bd01f3
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_int_data.ipp
@@ -0,0 +1,1009 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 1000> ibeta_derivative_int_data = { {
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+
diff --git a/src/boost/libs/math/test/ibeta_derivative_large_data.ipp b/src/boost/libs/math/test/ibeta_derivative_large_data.ipp
new file mode 100644
index 000000000..3435dcac5
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_large_data.ipp
@@ -0,0 +1,1219 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 1210> ibeta_derivative_large_data = { {
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+
diff --git a/src/boost/libs/math/test/ibeta_derivative_small_data.ipp b/src/boost/libs/math/test/ibeta_derivative_small_data.ipp
new file mode 100644
index 000000000..159c7ab41
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_derivative_small_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+static const boost::array<boost::array<typename table_type<T>::type, 4>, 500> ibeta_derivative_small_data = { {
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+}};
+
diff --git a/src/boost/libs/math/test/ibeta_int_data.ipp b/src/boost/libs/math/test/ibeta_int_data.ipp
new file mode 100644
index 000000000..78832849a
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_int_data.ipp
@@ -0,0 +1,1008 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 1000> ibeta_int_data = { {
+      {{ SC_(1.0), SC_(1.0), SC_(0.12707412242889404296875), SC_(0.12707412242889404296875), SC_(0.87292587757110595703125), SC_(0.12707412242889404296875), SC_(0.87292587757110595703125) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.1355634629726409912109375), SC_(0.1355634629726409912109375), SC_(0.8644365370273590087890625), SC_(0.1355634629726409912109375), SC_(0.8644365370273590087890625) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.221111953258514404296875), SC_(0.221111953258514404296875), SC_(0.778888046741485595703125), SC_(0.221111953258514404296875), SC_(0.778888046741485595703125) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.3082362115383148193359375), SC_(0.3082362115383148193359375), SC_(0.6917637884616851806640625), SC_(0.3082362115383148193359375), SC_(0.6917637884616851806640625) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.632396042346954345703125), SC_(0.632396042346954345703125), SC_(0.367603957653045654296875), SC_(0.632396042346954345703125), SC_(0.367603957653045654296875) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.81474220752716064453125), SC_(0.81474220752716064453125), SC_(0.18525779247283935546875), SC_(0.81474220752716064453125), SC_(0.18525779247283935546875) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.8350250720977783203125), SC_(0.8350250720977783203125), SC_(0.1649749279022216796875), SC_(0.8350250720977783203125), SC_(0.1649749279022216796875) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.905801355838775634765625), SC_(0.905801355838775634765625), SC_(0.094198644161224365234375), SC_(0.905801355838775634765625), SC_(0.094198644161224365234375) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.913384497165679931640625), SC_(0.913384497165679931640625), SC_(0.086615502834320068359375), SC_(0.913384497165679931640625), SC_(0.086615502834320068359375) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.9688708782196044921875), SC_(0.9688708782196044921875), SC_(0.0311291217803955078125), SC_(0.9688708782196044921875), SC_(0.0311291217803955078125) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.12707412242889404296875), SC_(0.09862827503959171189398618374792775287033), SC_(0.1013717249604082881060138162520722471297), SC_(0.4931413751979585594699309187396387643517), SC_(0.5068586248020414405300690812603612356483) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.1355634629726409912109375), SC_(0.1034626062176827277918252157009958542702), SC_(0.09653739378231727220817478429900414572975), SC_(0.5173130310884136389591260785049792713512), SC_(0.4826869689115863610408739214950207286488) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.221111953258514404296875), SC_(0.1426669309228783966319631141125057294315), SC_(0.05733306907712160336803688588749427056846), SC_(0.7133346546143919831598155705625286471577), SC_(0.2866653453856080168401844294374713528423) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.3082362115383148193359375), SC_(0.1683175237737739451458299347329965869636), SC_(0.03168247622622605485417006526700341303637), SC_(0.8415876188688697257291496736649829348182), SC_(0.1584123811311302742708503263350170651818) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.632396042346954345703125), SC_(0.1986574487056847557826435986513304812407), SC_(0.001342551294315244217356401348669518759265), SC_(0.9932872435284237789132179932566524062037), SC_(0.006712756471576221086782006743347593796327) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.81474220752716064453125), SC_(0.1999563572187662228110513475988795275212), SC_(0.4364278123377718894865240112047247884697e-4), SC_(0.9997817860938311140552567379943976376058), SC_(0.0002182139061688859447432620056023623942349) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.8350250720977783203125), SC_(0.1999755589571828112759793109250020391598), SC_(0.2444104281718872402068907499796084023135e-4), SC_(0.9998777947859140563798965546250101957988), SC_(0.0001222052140859436201034453749898042011567) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.905801355838775634765625), SC_(0.1999985166171454414455882653728607369309), SC_(0.1483382854558554411734627139263069093172e-5), SC_(0.9999925830857272072279413268643036846545), SC_(0.7416914272792772058673135696315345465861e-5) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.913384497165679931640625), SC_(0.1999990249920642955788201451534509989431), SC_(0.9750079357044211798548465490010569373139e-6), SC_(0.9999951249603214778941007257672549947153), SC_(0.487503967852210589927423274500528468657e-5) }}, 
+      {{ SC_(1.0), SC_(5.0), SC_(0.9688708782196044921875), SC_(0.1999999941539256010178778769929018951446), SC_(0.5846074398982122123007098104855351238397e-8), SC_(0.9999999707696280050893893849645094757232), SC_(0.2923037199491061061503549052427675619198e-7) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.12707412242889404296875), SC_(0.07841065545742553690357436899840861353416), SC_(0.03270045565368557420753674211270249757695), SC_(0.7056958991168298321321693209856775218074), SC_(0.2943041008831701678678306790143224781926) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.1355634629726409912109375), SC_(0.08116395928609379109945865148741523126218), SC_(0.02994715182501732001165245962369587984893), SC_(0.7304756335748441198951278633867370813597), SC_(0.2695243664251558801048721366132629186403) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.221111953258514404296875), SC_(0.09938827101178385357325884148839069014309), SC_(0.01172284009932725753785226962272042096802), SC_(0.8944944391060546821593295733955162112878), SC_(0.1055055608939453178406704266044837887122) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.3082362115383148193359375), SC_(0.1070804349188103774200633594833764298142), SC_(0.004030676192300733691047751627734681296879), SC_(0.9637239142692933967805702353503878683281), SC_(0.03627608573070660321942976464961213167191) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.632396042346954345703125), SC_(0.111097491048750043262614932132291317645), SC_(0.1362006236106784849617897881979346612813e-4), SC_(0.9998774194387503893635343891906218588048), SC_(0.0001225805612496106364656108093781411951532) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.81474220752716064453125), SC_(0.1111110825519232717208655720235017541736), SC_(0.2855918783939024553908760935693748091725e-7), SC_(0.9999997429673094454877901482115157875627), SC_(0.2570326905545122098517884842124373282553e-6) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.8350250720977783203125), SC_(0.1111111010529400910323964226375274050264), SC_(0.1005817102007871468847358370608472022094e-7), SC_(0.9999999094764608192915678037377466452375), SC_(0.905235391807084321962622533547624819885e-7) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.905801355838775634765625), SC_(0.1111111110462238627980857535394333033615), SC_(0.6488724831302535757167780774965012167349e-10), SC_(0.9999999994160147651827717818548997302531), SC_(0.5839852348172282181451002697468510950614e-9) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.913384497165679931640625), SC_(0.1111111110806238669246786783796986176146), SC_(0.3048724418643243273141249349655461366324e-10), SC_(0.999999999725614802322108105417287558531), SC_(0.2743851976778918945827124414689915229691e-9) }}, 
+      {{ SC_(1.0), SC_(9.0), SC_(0.9688708782196044921875), SC_(0.1111111111111080613957531527507243932621), SC_(0.3049715357958360386717849044032940135015e-14), SC_(0.9999999999999725525617783747565195393586), SC_(0.2744743822162524348046064139629646121513e-13) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.12707412242889404296875), SC_(0.06377802111972172856117668420887073531375), SC_(0.01314505580335519451574639271420618776317), SC_(0.8291142745563824712952968947153195590788), SC_(0.1708857254436175287047031052846804409212) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.1355634629726409912109375), SC_(0.06534631396335302561085740765853120632746), SC_(0.01157676295972389746606566926454571674946), SC_(0.849502081523589332941146299560905682257), SC_(0.150497918476410667058853700439094317743) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.221111953258514404296875), SC_(0.073936098027053229980456629155316619064), SC_(0.002986978896023693096466447767760304012923), SC_(0.961169274351691989745936179019116047832), SC_(0.03883072564830801025406382098088395216799) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.3082362115383148193359375), SC_(0.07628406587795866730026283989957329242692), SC_(0.0006390110451182557766602370235036306499997), SC_(0.99169285641346267490341691869445280155), SC_(0.008307143586537325096583081305547198449996) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.632396042346954345703125), SC_(0.07692290473662908828301426763349698076011), SC_(0.1721864478347939088092895799423168144275e-6), SC_(0.9999977615761781476791854792354607498814), SC_(0.2238423821852320814520764539250118587558e-5) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.81474220752716064453125), SC_(0.07692307689978791728736106957085988607084), SC_(0.2328900578956200735221703700608178721351e-10), SC_(0.9999999996972429247356939044211785189209), SC_(0.3027570752643060955788214810790632337757e-9) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.8350250720977783203125), SC_(0.0769230769179188206511773543901190630926), SC_(0.5158102425745722532957859984322934593166e-11), SC_(0.9999999999329446684653056070715478202038), SC_(0.6705533153469439292845217979619814971115e-10) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.905801355838775634765625), SC_(0.0769230769230733860601287482474701785501), SC_(0.3537016794328675606744526819400056704101e-14), SC_(0.9999999999999540187816737272171123211513), SC_(0.4598121832627278288767884865220073715331e-13) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.913384497165679931640625), SC_(0.07692307692307573512230480395666742897924), SC_(0.11879546182729664094940976869286312538e-14), SC_(0.9999999999999845565899624514366765767301), SC_(0.154434100375485633234232699300722062994e-13) }}, 
+      {{ SC_(1.0), SC_(13.0), SC_(0.9688708782196044921875), SC_(0.07692307692307692307494051875730989027246), SC_(0.1982558165767032804462970824488025880236e-20), SC_(0.999999999999999999974226743845028573542), SC_(0.2577325615497142645801862071834433644306e-19) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.12707412242889404296875), SC_(0.05298684330600258243994453504760446274421), SC_(0.005836686105762123442408406128866125491082), SC_(0.9007763362020439014790570958092758666516), SC_(0.0992236637979560985209429041907241333484) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.1355634629726409912109375), SC_(0.05388026283526436764556709719993134422191), SC_(0.004943266576500338236785843976539244013386), SC_(0.9159644681994942499746406523988328517724), SC_(0.08403553180050575002535934760116714822756) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.221111953258514404296875), SC_(0.05798285710551880515383575029657780246697), SC_(0.0008406723062459007285171908798927857683196), SC_(0.9857085707938196876152077550418226419386), SC_(0.01429142920618031238479224495817735806143) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.3082362115383148193359375), SC_(0.05871162837935254489868170115871457879443), SC_(0.0001119010324121609836712400177560094408654), SC_(0.9980976824489932632775889196981478395053), SC_(0.001902317551006736722411080301852160494712) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.632396042346954345703125), SC_(0.0588235270073237814057109234005476351883), SC_(0.2404440924476642017775922953046994862122e-8), SC_(0.9999999591245042838970856978093097982011), SC_(0.4087549571610291430219069020179891265608e-7) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.81474220752716064453125), SC_(0.05882352941174372849881815123439088317093), SC_(0.209773835347899420797050643638214001969e-13), SC_(0.9999999999996433844799085709846450139058), SC_(0.3566155200914290153549860941849638033473e-12) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.8350250720977783203125), SC_(0.05882352941176178404402556960006402546711), SC_(0.292183832737157640656276818082852678684e-14), SC_(0.9999999999999503287484346832010884329409), SC_(0.4967125156531679891156705907408495537629e-13) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.905801355838775634765625), SC_(0.0588235294117647056693869968828643991896), SC_(0.2129659442936061890456975009412782209024e-18), SC_(0.9999999999999999963795789470086947862231), SC_(0.362042105299130521377685751600172975534e-17) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.913384497165679931640625), SC_(0.05882352941176470583122282199788944005315), SC_(0.5113011917858114818214109346195935267832e-19), SC_(0.9999999999999999991307879739641204809036), SC_(0.8692120260358795190963985888533089955315e-18) }}, 
+      {{ SC_(1.0), SC_(17.0), SC_(0.9688708782196044921875), SC_(0.05882352941176470588235293975287103627759), SC_(0.1423599551957705623143914190179850430127e-26), SC_(0.999999999999999999999999975798807616719), SC_(0.2420119238328099559344654123305745731216e-25) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.12707412242889404296875), SC_(0.04487554463330296498867403464237823454315), SC_(0.002743502985744654058945012976669384504466), SC_(0.9423864372993622647621547274899429254062), SC_(0.05761356270063773523784527251005707459379) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.1355634629726409912109375), SC_(0.04538456944202070712243042905333157192264), SC_(0.002234478177026911925188618565716047124978), SC_(0.9530759582824348495710390101199630103755), SC_(0.04692404171756515042896098988003698962453) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.221111953258514404296875), SC_(0.04736857715324135788740328993622036050871), SC_(0.0002504704658062611602157576828272585389136), SC_(0.9947401202180685156354690886606275706828), SC_(0.005259879781931484364530911339372429317186) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.3082362115383148193359375), SC_(0.04759830349897238434749159984329463475294), SC_(0.2074412007523470012744777575298429467938e-4), SC_(0.9995643734784200712973235967091873298117), SC_(0.0004356265215799287026764032908126701882671) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.632396042346954345703125), SC_(0.04761904758350377036083284895385707746354), SC_(0.3554384868678619866519054158407918425781e-10), SC_(0.9999999992535791775774898280309986267343), SC_(0.7464208224225101719690013732656628694139e-9) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.81474220752716064453125), SC_(0.04761904761904759904499906888538095785439), SC_(0.2000261997873366666119323071333816841757e-16), SC_(0.9999999999999995799449804465930001149422), SC_(0.420055019553406999885057844980101536769e-15) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.8350250720977783203125), SC_(0.04761904761904761729552426147647975508515), SC_(0.1752094786142567863962469394405144410183e-17), SC_(0.9999999999999999632060094910060748567881), SC_(0.3679399050899392514321185728250803261385e-16) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.905801355838775634765625), SC_(0.04761904761904761904760547328931447509706), SC_(0.1357432973314395056196355375980761242815e-22), SC_(0.9999999999999999999997149390756039770382), SC_(0.2850609243960229618012346289559598609911e-21) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.913384497165679931640625), SC_(0.04761904761904761904761671797829140797469), SC_(0.2329640756211072932013929197542902737565e-23), SC_(0.9999999999999999999999510775441195674684), SC_(0.4892245588043253157229251314840095748887e-22) }}, 
+      {{ SC_(1.0), SC_(21.0), SC_(0.9688708782196044921875), SC_(0.0476190476190476190476190476190465369039), SC_(0.1082143719333844138479652053317883063834e-32), SC_(0.9999999999999999999999999999999772749819), SC_(0.2272501810601072690807269311967554434051e-31) }}, 
+      {{ SC_(1.0), SC_(25.0), SC_(0.12707412242889404296875), SC_(0.03866188266790096489540055400757505247595), SC_(0.001338117332099035104599445992424947524048), SC_(0.9665470666975241223850138501893763118988), SC_(0.0334529333024758776149861498106236881012) }}, 
+      {{ SC_(1.0), SC_(25.0), SC_(0.1355634629726409912109375), SC_(0.03895193585668554399222700056164278492628), SC_(0.001048064143314456007772999438357215073721), SC_(0.973798396417138599805675014041069623157), SC_(0.02620160358286140019432498595893037684303) }}, 
+      {{ SC_(1.0), SC_(25.0), SC_(0.221111953258514404296875), SC_(0.03992256523844820971686527722437468671455), SC_(0.7743476155179028313472277562531328544896e-4), SC_(0.9980641309612052429216319306093671678638), SC_(0.001935869038794757078368069390632832136224) }}, 
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+      {{ SC_(37.0), SC_(37.0), SC_(0.1355634629726409912109375), SC_(0.1296111998868566405720542382682176670195e-35), SC_(0.309564789472764679093375775903441064718e-22), SC_(0.4186884435649110798542051137448125301801e-13), SC_(0.9999999999999581311556435088920145794886) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.221111953258514404296875), SC_(0.2562741045594853507301922042614016365325e-29), SC_(0.3095647638453671842648293885482778440017e-22), SC_(0.8278528866152636518115304178551121854591e-7), SC_(0.9999999172147113384736348188469582144888) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.3082362115383148193359375), SC_(0.9697027380656677021427830653945592127811e-26), SC_(0.3094678191989710734431501832609588142206e-22), SC_(0.0003132471040124351596576730870327977659869), SC_(0.999686752895987564840342326912967202234) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.632396042346954345703125), SC_(0.3063451207632721012988627372821913143173e-22), SC_(0.3219668709505538914501724285306955824562e-24), SC_(0.9895993704097000715411905826153733915169), SC_(0.01040062959029992845880941738462660848308) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.81474220752716064453125), SC_(0.3095647892990086195192122018743245560235e-22), SC_(0.1737690206941522596931737141183088624137e-31), SC_(0.9999999994386667133878509901348317251675), SC_(0.5613332866121490098651682748324536630957e-9) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.8350250720977783203125), SC_(0.3095647894672021976547480411236536892802e-22), SC_(0.557544255861642044384458086164795234761e-33), SC_(0.9999999999819894162765991478047915369078), SC_(0.180105837234008521952084630921920026118e-10) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.905801355838775634765625), SC_(0.3095647894727776401201650427507053565973e-22), SC_(0.9319941881679291354451743800364440933825e-41), SC_(0.9999999999999999996989340455175098675848), SC_(0.3010659544824901324152261922870847584496e-18) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.913384497165679931640625), SC_(0.3095647894727776402077793811087210433219e-22), SC_(0.5585080458777226819971826512604809980239e-42), SC_(0.9999999999999999999819582825673125691735), SC_(0.1804171743268743082647407545766726774271e-19) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(0.9688708782196044921875), SC_(0.3095647894727776402133644615674982685644e-22), SC_(0.1577418664709856221006413731479117116045e-57), SC_(0.9999999999999999999999999999999999949044), SC_(0.5095601044926236696504373430890795334844e-35) }}
+   } };
+
diff --git a/src/boost/libs/math/test/ibeta_inv_data.ipp b/src/boost/libs/math/test/ibeta_inv_data.ipp
new file mode 100644
index 000000000..402ebe567
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_inv_data.ipp
@@ -0,0 +1,1217 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 1210> ibeta_inv_data = { {
+      {{ SC_(0.104760829344741068780422210693359375e-4), SC_(39078.1875), SC_(0.913384497165679931640625), SC_(0.2135769916611873809373928693612157637794870746322109915739746618652569766882593624385400901395922558e-3760), SC_(BOOST_MATH_SMALL_CONSTANT(0.6169146818683135737866366973021696361959736535710675458813428774517757535576031054239811928697394346e-101417)) }}, 
+      {{ SC_(0.1127331415773369371891021728515625e-4), SC_(0.0226620174944400787353515625), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.6398069040886718270700942839013650119743974939592699138527850527236181568779785317811717302449254101e-76964)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1123304116325227195797533167182832111272986902383876280357481893374380043283848201429836361152904889e-5592)) }}, 
+      {{ SC_(0.113778432933031581342220306396484375e-4), SC_(0.03654421865940093994140625), SC_(0.9688708782196044921875), SC_(0.5825356514402150924555439351704966386176716144780670249830283141506929468296452211723778443894234951e-1195), SC_(BOOST_MATH_SMALL_CONSTANT(0.1299246431009640780314778465681510321819328250560790012308930348335051591055920757982605267188242976e-132423)) }}, 
+      {{ SC_(0.1142846667789854109287261962890625e-4), SC_(0.00244517601095139980316162109375), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9626654068785645417511885142439608103434581112273323673426712424844243107090177710187642425011765594e-75761)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1968131210354581442057523237500619235039616488884597039029510000400233015927645935497663749543679489e-5358)) }}, 
+      {{ SC_(0.1184685606858693063259124755859375e-4), SC_(0.015964560210704803466796875), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.3589991782488314563613963926946558354830549116688735009134661806895352582322279412078679966549495e-43116)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8498116607235052405320447197085177573554285064950351753253894145078534997511294854886147550142192844e-13482)) }}, 
+      {{ SC_(0.1215800511999987065792083740234375e-4), SC_(24110.49609375), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.6446009470761694712696178802124602151206198100070272397820841954953457589393814080011513726764543968e-71386)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4411620506592737532109016496457382048657857194340645526246628280311812592288988016544405559990034441e-5208)) }}, 
+      {{ SC_(0.130341722979210317134857177734375e-4), SC_(26168.341796875), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2166416563492047698893468112939141389204329099488114879770220649554966170201180232315257069497901648e-68742)), SC_(0.1077379305584195394942430687801727576986179591753422104711707268006164084179781893335299072659829737e-4532) }}, 
+      {{ SC_(0.13885271982871927320957183837890625e-4), SC_(0.04976274073123931884765625), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.1505435304898114171757823372486217209606557096566030133214604079062750941794084777046798389177683298e-14323)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8191336340381130196534918861139224810035912334983040442057176348873687528604185195239248980481620309e-31292)) }}, 
+      {{ SC_(0.139016165121574886143207550048828125e-4), SC_(0.3188882328686304390430450439453125e-4), SC_(0.81474220752716064453125), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.4280498729519778987331529352631079454822421273284878121766790306889766290450686026189682387674704682e-41368)) }}, 
+      {{ SC_(0.14759907571715302765369415283203125e-4), SC_(2.8241312503814697265625), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.149627207977763220942721958324439773028753443201215406980939699041850526798527355589362837986915531e-13483)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2558857410093259430689102879079456979338542212672378310349005537672813392923619357148699354237694984e-29446)) }}, 
+      {{ SC_(0.150794721776037476956844329833984375e-4), SC_(0.4875471131526865065097808837890625e-4), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1196552230711909114279654256938815998740725267957310722981422063213023453615282876024769302334980208e-35700)), SC_(1.0) }}, 
+      {{ SC_(0.1519624856882728636264801025390625e-4), SC_(16177.537109375), SC_(0.81474220752716064453125), SC_(BOOST_MATH_SMALL_CONSTANT(0.1452425209503955537338422359333948812006899768260140476005442384340571893909020382026092251217563149e-5859)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1118345883008806780173762266422459055560035027762640953226900168492818873939725415273834608038325661e-48188)) }}, 
+      {{ SC_(0.1554497794131748378276824951171875e-4), SC_(40.46924591064453125), SC_(0.905801355838775634765625), SC_(0.1263629472761081761336139611957096532344967812079201565462877028056022440086149370452532349289977537e-2765), SC_(BOOST_MATH_SMALL_CONSTANT(0.9919220074175430612528899218323716721906730140324380689847652631919111677660506550414306011565356188e-66001)) }}, 
+      {{ SC_(0.15675454051233828067779541015625e-4), SC_(0.000101913392427377402782440185546875), SC_(0.81474220752716064453125), SC_(0.2853716542422836893914328033448649871440784183324642438029547731008406102487895766538278835997616547e-1712), SC_(BOOST_MATH_SMALL_CONSTANT(0.2298245136733929898089558753739834100156855492642462724846011273903684294484329372722305239196215964e-42747)) }}, 
+      {{ SC_(0.15971760149113833904266357421875e-4), SC_(19.206241607666015625), SC_(0.913384497165679931640625), SC_(0.9582815834618172404720774906601516866545834853534306710079796796969465944037138120013655983754855937e-2465), SC_(BOOST_MATH_SMALL_CONSTANT(0.6326194310940251351062236483308143964837777396539364617390517845304796920345734401134182052813379253e-66519)) }}, 
+      {{ SC_(0.16304524251609109342098236083984375e-4), SC_(0.00039033559733070433139801025390625), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2749781704753392658488528370082054060663950436757594599541089373221441866088075915394337505609699445e-53860)), SC_(0.9828097758952314597050411618472387868890317665219757564769723884179197098195673563971975573178259902e-2530) }}, 
+      {{ SC_(0.16487292668898589909076690673828125e-4), SC_(470997.15625), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.4541512737936566032722209936653561647042510033334139786119604257285077373847313505998057776219766456e-54347)), SC_(0.1549128670548823853403220618952571853257756905438794574182300339725200919598045497915626657567121817e-3585) }}, 
+      {{ SC_(0.165044693858362734317779541015625e-4), SC_(3.57584381103515625), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.794238046161941112343749823902683082201010853905108950104923153872086335073632221934630976272829339e-30969)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2292466372763638638323475388751441681337812313997406078153894115038015753694828319985703460438800914e-9697)) }}, 
+      {{ SC_(0.166259487741626799106597900390625e-4), SC_(147818.875), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.4840219552903389147605728190427790980761548760276021823940610272825144416373810916979400186204380198e-11975)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3355691678737767782891887487339395952689357895271229870171944057769814627603827220615993999615612822e-26146)) }}, 
+      {{ SC_(0.16847467122715897858142852783203125e-4), SC_(0.002207652665674686431884765625), SC_(0.9688708782196044921875), SC_(0.5906847920417500109372659805901565510642317169243157405152707420759307862602125145324167267749837092e-619), SC_(BOOST_MATH_SMALL_CONSTANT(0.170124244972649861948335303360579678196382235848312316943910825664898769097190318119987719590491326e-89243)) }}, 
+      {{ SC_(0.1747490387060679495334625244140625e-4), SC_(0.26349246501922607421875), SC_(0.632396042346954345703125), SC_(BOOST_MATH_SMALL_CONSTANT(0.12843516647174278387874388748896407588386560678553377934101747757777562235501611818724095565006393e-11386)), SC_(BOOST_MATH_SMALL_CONSTANT(0.2536225597635438964484652244350105224785079947699063064898395295623461960169137518050619029664249122e-24869)) }}, 
+      {{ SC_(0.17863809262053109705448150634765625e-4), SC_(439.38714599609375), SC_(0.8350250720977783203125), SC_(0.8244670330185256737263969143826902858678798594720040631958052373536602436314305948340758463250207469e-4386), SC_(BOOST_MATH_SMALL_CONSTANT(0.7352777980091604256079199692103097168555239346683458759313911552620269891691410672306190764078484364e-43811)) }}, 
+      {{ SC_(0.1895247623906470835208892822265625e-4), SC_(1.07109558582305908203125), SC_(0.9688708782196044921875), SC_(0.1958346418095304122274704022704012284830310878577730588329056279113401343952355448951150975955101985e-724), SC_(BOOST_MATH_SMALL_CONSTANT(0.1204102194190057648286366185479451893365394896311826527650411245123421846075536145059629401728008699e-79505)) }}, 
+      {{ SC_(0.19740999050554819405078887939453125e-4), SC_(105.41565704345703125), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.4171715706701289778828007890899248697163485933652243450349057614457988149098646573044273964497613009e-25893)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4289676998659303218462202648585110823764351223533266318047234914191374259260207999216104631145461676e-8109)) }}, 
+      {{ SC_(0.2004335328820161521434783935546875e-4), SC_(482.00701904296875), SC_(0.905801355838775634765625), SC_(0.2300786867506388908353022364598233237429971469616025799538393909707204968894677299870201252175165343e-2146), SC_(BOOST_MATH_SMALL_CONSTANT(0.1799474819364733378341626493308533546950444872243502571473922786173950526564225295056238004071701751e-51189)) }}, 
+      {{ SC_(0.2017128645093180239200592041015625e-4), SC_(232.9792938232421875), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9782152059532611372922752218945140821311267421642771819909290848934391306656384389032421044430100903e-43027)), SC_(0.7953007761061898269032745221331387025438802327808884652857398546810598867143141546217396350761801352e-3139) }}, 
+      {{ SC_(0.20203804524498991668224334716796875e-4), SC_(42.8336334228515625), SC_(0.1355634629726409912109375), SC_(BOOST_MATH_SMALL_CONSTANT(0.9505827239534352483275638000309426098918435445176677914029048966050973796738555346371505206583029493e-42957)), SC_(0.4879738324842388808208264019692856316850110596695651192968764647838931697912322372907706638620027653e-3133) }}, 
+      {{ SC_(0.20300331016187556087970733642578125e-4), SC_(42.38938140869140625), SC_(0.9688708782196044921875), SC_(0.3816869308438157775438575701400816009072542007939410749970155744055876159478755860836778076571703486e-678), SC_(BOOST_MATH_SMALL_CONSTANT(0.127201723496121023828113564898347237146568849457350377769280925620763942807444814392111020123066826e-74228)) }}, 
+      {{ SC_(0.2051885167020373046398162841796875e-4), SC_(236087.890625), SC_(0.8350250720977783203125), SC_(0.2236779936126539857160222845963337050945115341054176739161533824043234207571359913112629207518401323e-3821), SC_(BOOST_MATH_SMALL_CONSTANT(0.5187557340526034705800892748375743405416818891180832866460176073642680219205270491482771189624680261e-38145)) }}, 
+      {{ SC_(0.21041001673438586294651031494140625e-4), SC_(3.8230969905853271484375), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2611050064285175125482131273698210462799115955403897510685180499383028995007734375008754345306902882e-42581)), SC_(0.1263421304086059092982729044494063450981720138268968234081464502945179653799025464601347361390558349e-2805) }}, 
+      {{ SC_(0.2107691761921159923076629638671875e-4), SC_(0.04489715397357940673828125), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.3900373750276575859585149320905549732932763658865496075030893208483961831557459599669540245248710031e-31085)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4404830308340426746130675276769279825579374873733567061860857053216363945038073562970896042079876724e-5139)) }}, 
+      {{ SC_(0.21139929231139831244945526123046875e-4), SC_(0.17535277947899885475635528564453125e-4), SC_(0.8350250720977783203125), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.473270793701914810977987563126323761517466803284082613651628762799832085337970872475482395336393227e-20769)) }}, 
+      {{ SC_(0.21433561414596624672412872314453125e-4), SC_(3719.279052734375), SC_(0.81474220752716064453125), SC_(0.5697755869431091234460288256178201914669184558313577703589192769624449530099467135008330171347109014e-4155), SC_(BOOST_MATH_SMALL_CONSTANT(0.5052326319604125969261540109121341746553338155418535572465629231132318093045693841291017785062704029e-34166)) }}, 
+      {{ SC_(0.22448601157520897686481475830078125e-4), SC_(445071.28125), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1154051199795256693167224940027851782575716013364780412354086379221856337304339043125449929568329416e-29200)), SC_(0.5317196597832401400329618898138594703102901476369725585493922299078299104951909429878615105121363765e-4840) }}, 
+      {{ SC_(0.22683978386339731514453887939453125e-4), SC_(0.0405500046908855438232421875), SC_(0.905801355838775634765625), SC_(0.3320529691129112781183346091758024243131258015814127148220088686655475575144026542984765934147092121e-1883), SC_(BOOST_MATH_SMALL_CONSTANT(0.3063046523049329771837110182553346515767597472422624500690020343432489716503981152245110195835717713e-45217)) }}, 
+      {{ SC_(0.234849067055620253086090087890625e-4), SC_(25542.79296875), SC_(0.9688708782196044921875), SC_(0.3441730180671123519495976583198624119926731047061369849411568660575245402127433117800519623117640306e-589), SC_(BOOST_MATH_SMALL_CONSTANT(0.3751784934105693320455113760515845925736447146431148474482569436486280690421206833759119870649005669e-64166)) }}, 
+      {{ SC_(0.23615430109202861785888671875e-4), SC_(4.50702953338623046875), SC_(0.905801355838775634765625), SC_(0.4988379611542168986414874238506419923844468056925819195174874699047526593073353049454994954833639083e-1820), SC_(BOOST_MATH_SMALL_CONSTANT(0.7341840761161541739065036501325419142613794847229658509278972834999220997543398966712274676180693554e-43445)) }}, 
+      {{ SC_(0.2399934965069405734539031982421875e-4), SC_(462.945892333984375), SC_(0.81474220752716064453125), SC_(0.3110095684445031013162420462860776918422474101001024588575132091902755892192793640381029649700096935e-3710), SC_(BOOST_MATH_SMALL_CONSTANT(0.8797682788975050110209751601822341604088251725221823097384363697152422631690456231980809725272529829e-30513)) }}, 
+      {{ SC_(0.24066381229204125702381134033203125e-4), SC_(1270.3814697265625), SC_(0.12707412242889404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.4576190191092904160454048722884335228372052972542105302690069527168297955063547521360024576623301653e-37231)), SC_(0.1420858306336174465235602280120246573601819672841164112725840259803341782460177715076940711063890289e-2455) }}, 
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+      {{ SC_(424641.03125), SC_(0.2840512692928314208984375), SC_(0.3082362115383148193359375), SC_(0.9999994750636549669670606473061109603761635212061967274985478848332176734538791017721257779548027605), SC_(0.9999999739814327156712234926962831943788993494932233013963790111365912453400671308543415084742014015) }}, 
+      {{ SC_(431857.34375), SC_(0.000211423015571199357509613037109375), SC_(0.905801355838775634765625), SC_(1.0), SC_(1.0) }}, 
+      {{ SC_(433260.8125), SC_(3.3808853626251220703125), SC_(0.905801355838775634765625), SC_(0.9999969819317488587881461792850888475768718203652823126667535332673193874620970162529189308649544396), SC_(0.9999862985752257128652103590400974817457299983496624630313157549699524585549896935023931532699212086) }}, 
+      {{ SC_(434088.21875), SC_(21.81499481201171875), SC_(0.12707412242889404296875), SC_(0.9999373373312823166558666370134409611695804442709662922918704832772088187585446175690336698789214258), SC_(0.9999616965351012448240568108749462155945157055968478012559160622065331568396155867317792166746127338) }}, 
+      {{ SC_(434689.125), SC_(39291.4765625), SC_(0.81474220752716064453125), SC_(0.917461959010412182685915555568393955513643969597894372657100531180768279837135956151775654776489289), SC_(0.9167446673468778375962374922169420664609807836207411106316537831936914893386205048529899697184531553) }}, 
+      {{ SC_(435121.25), SC_(397.58978271484375), SC_(0.632396042346954345703125), SC_(0.9991032356687607663170758081994663804545219752851748934242218706100390785290407790519388112949974116), SC_(0.9990722960117656720982176725927203880876672401511674631927254651106841735347495126259465844742175537) }}, 
+      {{ SC_(437285.3125), SC_(0.2788266647257842123508453369140625e-4), SC_(0.3082362115383148193359375), SC_(1.0), SC_(1.0) }}, 
+      {{ SC_(442472.9375), SC_(49476.66015625), SC_(0.1355634629726409912109375), SC_(0.8989553759462725154195912825680002145390824453023265617169936644862701649915658110052894084041830153), SC_(0.8998991547281331197912897937898208409760268200326740982917502926455633491439458667387132339684255894) }}, 
+      {{ SC_(450819.5), SC_(499216.46875), SC_(0.221111953258514404296875), SC_(0.4741351844340727004467290920964798805530388223292311537088183157505857155369303090852906203317270319), SC_(0.4749225520632804503831707896293591563564510578733056247136808234148925259976983491440388496735532279) }}, 
+      {{ SC_(457779.125), SC_(0.326781928539276123046875), SC_(0.81474220752716064453125), SC_(0.9999999910727029325617530685760277558694771909650151522235239619750731721035596554760606019094289709), SC_(0.9999987858178995610219544528459401488999341746160983444951291984610165296616383478160281021221648139) }}, 
+      {{ SC_(458356.625), SC_(0.00327513157390058040618896484375), SC_(0.81474220752716064453125), SC_(1.0), SC_(0.9999999999999999999999999999999991663668185381070411966512131706847600000660648405081952061008667392) }}, 
+      {{ SC_(462545.71875), SC_(0.01835658587515354156494140625), SC_(0.81474220752716064453125), SC_(0.9999999999999999999999999999999999999999999998408559003203816496751827616995900078085841802845788018), SC_(0.9999999999824865494095113121276887961620751733866931423886562603084660496027804389884068533626778463) }}, 
+      {{ SC_(466997.53125), SC_(0.356361567974090576171875), SC_(0.9688708782196044921875), SC_(0.999999999908585136073218599560639574585679002817051921225365716235382799011868956412143385957374377), SC_(0.9999959050920261602210872695621046203124487413396593115588810222179555364832748299668392611148334214) }}, 
+      {{ SC_(468932.8125), SC_(0.182366857188753783702850341796875e-4), SC_(0.632396042346954345703125), SC_(1.0), SC_(1.0) }}, 
+      {{ SC_(470942.5), SC_(0.326362073421478271484375), SC_(0.913384497165679931640625), SC_(0.9999999991634295790864615713201865731290532042979576143167684474434066293110330308591586719592525982), SC_(0.9999977662722746820150898269173378866588151731047916028888067446958373170001483823516884123613851415) }}, 
+      {{ SC_(473791.3125), SC_(0.00037331905332393944263458251953125), SC_(0.9688708782196044921875), SC_(1.0), SC_(0.9999999999999999999999999999999999999999998073822602388688624653696078183429191536061547769537964575) }}, 
+      {{ SC_(474410.90625), SC_(1.53685867786407470703125), SC_(0.3082362115383148193359375), SC_(0.9999961129062931113810979684551783321474081584789778624951890966223338422649810562505451410537303544), SC_(0.999998403265561481452323439582435790606202798849405347541950528356589895392491922180143509579003441) }}, 
+      {{ SC_(481669.8125), SC_(360.35894775390625), SC_(0.8350250720977783203125), SC_(0.9992907831812886773473659863167020097660580060484200865493826163108597351525902267283025051442100653), SC_(0.999214115270590007552130187756931575538839868062918740780889455554092188930046874164289191809734251) }}, 
+      {{ SC_(485412.125), SC_(483725.21875), SC_(0.81474220752716064453125), SC_(0.5013251403632957657097180440139352644280668716512067495231709003767868348011456320309173169758632819), SC_(0.5004154864846086974762398748354340355121671666386661965862493622607256259777758150232988196487155074) }}, 
+      {{ SC_(489093.59375), SC_(101.60869598388671875), SC_(0.221111953258514404296875), SC_(0.9997767680266260123110682903130838658146825013373285034001164702953644249742530005306208421454781091), SC_(0.999808377593128038314593193233001644747928940615604047013939298656600726304242669404403355730826352) }}, 
+      {{ SC_(489183.34375), SC_(118808.328125), SC_(0.905801355838775634765625), SC_(0.8052575261090612610637084789843685951634273246290044181560593884142556001108220633456497594556682558), SC_(0.8039197640541228765389792372480736779551687141239257074087097158639306091733737153424379109689825148) }}, 
+      {{ SC_(491651.625), SC_(32.955524444580078125), SC_(0.3082362115383148193359375), SC_(0.9999276667129839450708195109501969031021375557304337628863198830422811974212658774808113659981096958), SC_(0.9999392952515020529866132904758764722582237171318891514012201689689695587113485590174396303118997795) }}, 
+      {{ SC_(499024.09375), SC_(0.3617647588253021240234375), SC_(0.221111953258514404296875), SC_(0.9999989677510921954271873521993859181834023852192245015532772531114512443689750755333329075681050925), SC_(0.9999999774076213040954883510429323955048191846373634062085510975273422302416340711527143505910773273) }}
+   } };
diff --git a/src/boost/libs/math/test/ibeta_inva_data.ipp b/src/boost/libs/math/test/ibeta_inva_data.ipp
new file mode 100644
index 000000000..368536fa5
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_inva_data.ipp
@@ -0,0 +1,1108 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 1100> ibeta_inva_data = { {
+      {{ SC_(0.101913392427377402782440185546875e-4), SC_(0.3082362115383148193359375), SC_(0.1355634629726409912109375), SC_(0.6498233713152427462579302903941895526823485861809005407005756658138299437345439685916818979079350952e-4), SC_(0.1598220360006443400909761969445329244603859759388130816641624923434214075962489978723834186220509792e-5), SC_(0.1598250823507423266003361933591577902014719110010440833489018043541995851576985396009647692344594598e-5), SC_(0.6499023539055942142435327607856798948132754954188633069136984730655318067141056849740949064680308213e-4) }}, 
+      {{ SC_(0.1127331415773369371891021728515625e-4), SC_(0.8350250720977783203125), SC_(0.221111953258514404296875), SC_(0.3971461302443922423613753292972913694448775540766244520233346130148330830638824141461619735572445997e-4), SC_(0.3200361118082439458200937030865347915510238320387461167764804252841304593011303390960681217527273982e-5), SC_(0.3200210889570744035937464686925692217326089474042347373846591880760057034684133216576634448402269381e-5), SC_(0.3970804661143976120973144952058224085647966940391220340079248912116191892887943249201895859632245494e-4) }}, 
+      {{ SC_(0.113778432933031581342220306396484375e-4), SC_(0.905801355838775634765625), SC_(0.913384497165679931640625), SC_(0.1078981970343159393325856300516135956140969598440175633458632674725240047510167692675710778553847126e-5), SC_(0.0001200181935703441995121934466228033111754654801609287621930678605774967528649020200620769888673021826), SC_(0.0001199468547533371496891932800417754246696194915133685876058567801242730706768275318621189458708399548), SC_(0.1078921129179782267266584693661729948023960221141040813461658037144034851960955828005953048025067861e-5) }}, 
+      {{ SC_(0.1142846667789854109287261962890625e-4), SC_(0.632396042346954345703125), SC_(0.221111953258514404296875), SC_(0.4025899796795053338948240609285498211472682534957119282666669306536310006800286817936757572860013938e-4), SC_(0.3244356766903463719306913859577321911415693698681174694348315965945146265497858043549761761998515535e-5), SC_(0.3244305116814100828743022380284672509844786339827561909255756253408557410865952781989509881881736442e-5), SC_(0.402567403617356621571805857579531660366440062441234650794612972668478828468673367856838957420528343e-4) }}, 
+      {{ SC_(0.1145765054388903081417083740234375e-4), SC_(0.913384497165679931640625), SC_(0.905801355838775634765625), SC_(0.1191571750545867392537313798907431542344344095879200999308344375910813077398702631095528359741186503e-5), SC_(0.0001102067845592199693917010458194599552572103205410984424051016635846792835186985601306422395955097474), SC_(0.0001101436549179224812644413611401269090813984984476836579744033601646714018004549966518797920528872344), SC_(0.1191500741959144922072835433076419034115688201288730002114876689721036040236828451248448892509304819e-5) }}, 
+      {{ SC_(0.1184685606858693063259124755859375e-4), SC_(0.8350250720977783203125), SC_(0.8350250720977783203125), SC_(0.2340623363191603898370775227750571590200502357875341269550358518828489422976009146847049767670005029e-5), SC_(0.5997016652255219747886060771729383753308007448753449600990778600678820278172428956506474372626790804e-4), SC_(0.5995620164847073584050553181224642561226948778199420970812017399765536897356590939928613936314653308e-4), SC_(0.234051566405018175204269278558069354736428629628287051287220082664267809248151547790462782021755034e-5) }}, 
+      {{ SC_(0.12048656572005711495876312255859375e-4), SC_(0.913384497165679931640625), SC_(0.81474220752716064453125), SC_(0.2739744250951670275113298279765201756581440367980696202896543991551475858455303285016122111531160698e-5), SC_(0.5299670821761171764372900056596763966402488146854288536412386951147420756371449036647596214642744172e-4), SC_(0.5298047274004390572318749610229599999656628731752066034988441477464604972189618031020718116326084136e-4), SC_(0.2739553374006434941292646031005528692950850835558781259804553220755863034131702899478155309841849826e-5) }}, 
+      {{ SC_(0.13885271982871927320957183837890625e-4), SC_(0.8350250720977783203125), SC_(0.913384497165679931640625), SC_(0.1316761416595919370130125478806042690058228402723744932513555575390264383428267099674470556162378215e-5), SC_(0.0001464621138187770636368288091715451405788452187762438244322570896511463096988914144097451646517393708), SC_(0.0001463859922463820577136477421662789627417973019629595681808688398863611174765967906151751169713754156), SC_(0.1316696495791707946163884336944625169957551861831120145642154917636213029136344378330816865851253778e-5) }}, 
+      {{ SC_(0.139016165121574886143207550048828125e-4), SC_(0.1355634629726409912109375), SC_(0.12707412242889404296875), SC_(0.9547673292113491262034069793405709241018001446440966950759890317490878173052656894523453165695624926e-4), SC_(0.2023635278368965262888447203152206885757241398427865002786378633252671147811944223712212058587588226e-5), SC_(0.2023754690333906934784743578875515210120065850224750194606142612432969845718622103368626791471648456e-5), SC_(0.9551543863643827044064851822439522331538353359186806068477116827790284692824136317548192394272389844e-4) }}, 
+      {{ SC_(0.143944707815535366535186767578125e-4), SC_(0.221111953258514404296875), SC_(0.81474220752716064453125), SC_(0.3272972153593272792294315950670347359831261283602618957436021027450675786174856995623862264110326696e-5), SC_(0.632990141303189719133353279896837410679405196953125322609425221598638065093292166662050411772898045e-4), SC_(0.6331140087531343209152630672946940443241052431215532098504247271212384333561961538316669124336267509e-4), SC_(0.3273117781877539280798489020583032342225811653678924427425569001005416493844068702682445156689086415e-5) }}, 
+      {{ SC_(0.14498580640065483748912811279296875e-4), SC_(0.3082362115383148193359375), SC_(0.3082362115383148193359375), SC_(0.3253742212386968781612656316620215840333726254656645874658994387373581238578087455806150295721983642e-4), SC_(0.6460170263304768607166472283634580938080587045554068917515889569677695568527422292732443965595733546e-5), SC_(0.6460389168964756781185792834191710616285016843656138451140030019016010603469220070557969454976470937e-5), SC_(0.3253989653200702274919661149423446286389104607980329666927131807017854240337258963755040377916930538e-4) }}, 
+      {{ SC_(0.150073101394809782505035400390625e-4), SC_(0.905801355838775634765625), SC_(0.3082362115383148193359375), SC_(0.3368409504251561290464334473768649337939776230437629072347636411186828106568821467963048055712919614e-4), SC_(0.6687287839256708751603744004615321146312284138895378752133829995735298947731901687375615081162665865e-5), SC_(0.6686631150723913246638218241012310033772813288325333543118501948241656165404065320414326799591238772e-5), SC_(0.3367667217741028633923677261223016046989181571572493614821457869552722619328990219221837086365139157e-4) }}, 
+      {{ SC_(0.150358655446325428783893585205078125e-4), SC_(0.913384497165679931640625), SC_(0.1355634629726409912109375), SC_(0.9590303934205324631565257968984418682325537068446175465533121391485224886714546031448674308598768754e-4), SC_(0.2358064976440925144147073399479359701859791978119588953669585750075394212334040246114720302574396224e-5), SC_(0.2357871747378977311589396746549307159106310325274719313965661500873802598080130111071124153255736699e-5), SC_(0.9585294284458174387238014758587531939522744711214339460244053261369492265424734665782500243897903548e-4) }}, 
+      {{ SC_(0.150794721776037476956844329833984375e-4), SC_(0.12707412242889404296875), SC_(0.632396042346954345703125), SC_(0.87651069540304628423081918011260974905033687777361892246598630128014121055416273931319481920790515e-5), SC_(0.259394507865675995744762355153851792156958953609180785329566058577092563181989551106130502682548618e-4), SC_(0.2594355203373817883698461757521940058816181951323031229743551991870650806867128742063568243515966938e-4), SC_(0.8765912509183101407045558460058661316022689816530705908193566381502601877100638232366285667845801709e-5) }}, 
+      {{ SC_(0.15419080227729864418506622314453125e-4), SC_(0.12707412242889404296875), SC_(0.1355634629726409912109375), SC_(0.9830005405914737446060892363685712552152782311310204370882529948507189082695976623585226251217629048e-4), SC_(0.2417982090725863219268402865263656889157071672332778168735691070344962656880642022791761256750260214e-5), SC_(0.2418148323498376774634162885245152923095533505622569142619373610219681319883028827406881417407724923e-5), SC_(0.9834315167538787468882315193663229818124191644081977735590761688303094176815343087199599992309813292e-4) }}, 
+      {{ SC_(0.15675454051233828067779541015625e-4), SC_(0.3082362115383148193359375), SC_(0.12707412242889404296875), SC_(0.0001076705852659451793853865643565345351084475810373544400849947491064482183831269674483630442891227277), SC_(0.2281884068014367922411896063517274399583263910072808042169062857538812657905414478059107182988935904e-5), SC_(0.2281950317358702456902944257528144442000952715480241963747411206463352849834574570250349766756506247e-5), SC_(0.0001076920590890716618082136667711265533451107466155867551262184847803119057614262957145136457318713641) }}, 
+      {{ SC_(0.15964558770065195858478546142578125e-4), SC_(0.8350250720977783203125), SC_(0.905801355838775634765625), SC_(0.1660278783926417628556777160282997881556780127471291513930816808973189010497802355733599800163014022e-5), SC_(0.0001535552230132099996415866651208432663272262371647920595961863118674016207241551750339476731435767165), SC_(0.0001534708524536018031472228456674893374691254721961681088171006888239037200588582248419618310759235827), SC_(0.1660183881247630944760800805383653749744450292432029092339200275943746932481995662921241116809458963e-5) }}, 
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+      {{ SC_(475931.78125), SC_(0.1355634629726409912109375), SC_(0.221111953258514404296875), SC_(74863.22159423657178639135843064319186867849712135432679140745009910166430025378444104631149358051552), SC_(74411.62359846101533194367027997650975048798856694024723181729993473406725909453910573442714644750971), SC_(3031199.27574924233997859053704277970442582820164378907041604417813349570600051850022942680116940976), SC_(3038471.007954823489719352635939274579304822773919251533092003024823266976921005941089319124285500496) }}, 
+      {{ SC_(480505.75), SC_(0.913384497165679931640625), SC_(0.905801355838775634765625), SC_(5057009.137883346991297280272316655884843512474132092967659893246907363070814150415616505779213755808), SC_(5077130.008669136984101475927154584113851934847615921791753015711169641012846352004783223552006266754), SC_(45860.39578823761216780930027528343441271409993632576700986556608110936794777922189190471234767214715), SC_(45272.82619384517959483726844004670545212496499292353295676138585412022031957970747357936964957150843) }}, 
+      {{ SC_(481037.90625), SC_(0.3082362115383148193359375), SC_(0.1355634629726409912109375), SC_(214954.0730415459324272322098059261658344195921911048215227103731874995082410590810383910277671282622), SC_(213728.9433236639020931731891795221242722212174046095998104798208675703012870270153304541107798144009), SC_(1077517.795801841403487141321214750115179387272101781637533476788045360859794269288938283235224199637), SC_(1081636.810871830922880032963090014830142863695032235420818616239563778235210349598024972698342430219) }}, 
+      {{ SC_(485980.90625), SC_(0.1355634629726409912109375), SC_(0.81474220752716064453125), SC_(75947.50287755040088992558685298601037560620447249457062259186705941456229777606961809318551961112457), SC_(76479.30117347133042069077426985013802863207922409730304956347781449509840371152867686698312667407036), SC_(3103196.634482552348526388073690399281667050881158209209257160529514613456386016945448500178200416261), SC_(3094633.498847298449800834614348937260696174622946733336073730690861985736659159836937933593087681597) }}, 
+      {{ SC_(489096.34375), SC_(0.81474220752716064453125), SC_(0.632396042346954345703125), SC_(2149835.420432935738571504824669405535112026843128171823218720145168010286191521063636486128819640379), SC_(2152140.267058834375526429568585141743365314468040624002321395548815791537567896033314059219767174233), SC_(111336.990938262038284792110970236277584339209153903880265239957333478239591138095337997321244983344), SC_(111087.0851343228376540732483260823293660124553023808030297399680696356784984406728076454354233386814) }}, 
+      {{ SC_(490224.65625), SC_(0.8350250720977783203125), SC_(0.9688708782196044921875), SC_(2474059.781112585100225923474277388945644841132414541483235018154724374112161333898186161710511319547), SC_(2488521.187172101754693537105176727049011115863706614369301342646676606307103207412127159070864309253), SC_(97489.16520339287822299971952377074411630970076546169823169145986944645114749814051528899672166177443), SC_(96219.21150955986998802274923363974940278386581612184471409847771598317921003666209856647350389402225) }}, 
+      {{ SC_(492616.1875), SC_(0.81474220752716064453125), SC_(0.9688708782196044921875), SC_(2160097.330587066231445009615179450496605337977400732745848956148755035070499897025280043407966765649), SC_(2172849.060248862788069481343937878596794903922837153025629325486461452111332884974573767684987699383), SC_(112704.513279915547893306409021394612149255526474732330209037454571458216341356862770454420824870536), SC_(111321.8919149126350976334581215168831576517722380867094186255880986306392649715612321977436708934672) }}, 
+      {{ SC_(493067.15625), SC_(0.1355634629726409912109375), SC_(0.9688708782196044921875), SC_(76767.64922907893070937377260795058987611362823891825524085896234884328550113407276897167228036558757), SC_(77882.89867960827431192138690174915177255321134308258910288268085009341055734572331426861469361693711), SC_(3153086.514367219226967064126240311772170736384107525381665234442715424152190338059638973443194990823), SC_(3135128.509847232411063129274533589230908159139891303513987728335691375301577612946664126754477170654) }}, 
+      {{ SC_(497097.0), SC_(0.12707412242889404296875), SC_(0.1355634629726409912109375), SC_(72681.11415387065674957690132016868169191955575858086107661197432136383823238646114474079457781392721), SC_(72047.41954020240893325737182119598226364424389984420063381611270985375436608408806330762383061821211), SC_(3409065.827055807531678961859073645657230358185950103860885952543964343334592856668738573506077026751), SC_(3420475.169677388105656745142209467687699219296898877898752790493449083963329175908034795593158414778) }}, 
+      {{ SC_(497481.8125), SC_(0.3082362115383148193359375), SC_(0.12707412242889404296875), SC_(222314.1253130015627660072636473322752712891751839119915721545837501534862620518004663188386017641378), SC_(221023.1037330142642378955151286775664560624517786400554218612145985519782410506686001446831861587568), SC_(1114311.595597452012343496149547782092708841542094172969811686130629128619077973244337814566303316361), SC_(1118652.146040181182739176928249543706836426766938346914879802716806902165572254306413904435006003401) }}
+   } };
+
diff --git a/src/boost/libs/math/test/ibeta_large_data.ipp b/src/boost/libs/math/test/ibeta_large_data.ipp
new file mode 100644
index 000000000..91b1967d6
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_large_data.ipp
@@ -0,0 +1,1219 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 1210> ibeta_large_data = { {
+      {{ SC_(0.104760829344741068780422210693359375e-4), SC_(39078.1875), SC_(0.913384497165679931640625), SC_(95444.37547576888548779405522478045372688), SC_(BOOST_MATH_SMALL_CONSTANT(0.4076397251031275963346153642645211144346e-41521)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.4270966445860582673748568606264586002504e-41526)) }}, 
+      {{ SC_(0.1127331415773369371891021728515625e-4), SC_(0.0226620174944400787353515625), SC_(0.1355634629726409912109375), SC_(88703.20318198098901713372585734808194292), SC_(45.9460483635769831377505786833842050448), SC_(0.9994822930837981780736860587426162687504), SC_(0.0005177069162018219263139412573837312496096) }}, 
+      {{ SC_(0.113778432933031581342220306396484375e-4), SC_(0.03654421865940093994140625), SC_(0.9688708782196044921875), SC_(87893.29210911967129223056449206866305889), SC_(24.13233514927218107101077084629346084654), SC_(0.999725511349976252733137998478545702411), SC_(0.0002744886500237472668620015214542975889712) }}, 
+      {{ SC_(0.1142846667789854109287261962890625e-4), SC_(0.00244517601095139980316162109375), SC_(0.1355634629726409912109375), SC_(87498.94901523223439182946063290895919618), SC_(410.8174698800966982396187764410683048418), SC_(0.9953268278792474174353255397883295739773), SC_(0.004673172120752582564674460211670426022665) }}, 
+      {{ SC_(0.1184685606858693063259124755859375e-4), SC_(0.015964560210704803466796875), SC_(0.3082362115383148193359375), SC_(84409.76586511709213323237371074024560834), SC_(63.42758275377907514602214367744158071269), SC_(0.9992491395179357013663738064942314292026), SC_(0.000750860482064298633626193505768570797446) }}, 
+      {{ SC_(0.1215800511999987065792083740234375e-4), SC_(24110.49609375), SC_(0.1355634629726409912109375), SC_(82239.66859351932879196086451784571067159), SC_(0.1228963536503215267489197519054078145969e-1528), SC_(1.0), SC_(0.1494368298804234679967895435418141236754e-1533) }}, 
+      {{ SC_(0.130341722979210317134857177734375e-4), SC_(26168.341796875), SC_(0.12707412242889404296875), SC_(76710.65536325700740870385917451316226344), SC_(0.8987481009726700678494101665597031705645e-1548), SC_(1.0), SC_(0.1171607903382812021950729983554623721701e-1552) }}, 
+      {{ SC_(0.13885271982871927320957183837890625e-4), SC_(0.04976274073123931884765625), SC_(0.632396042346954345703125), SC_(72019.23463150248088958543324182892626471), SC_(19.53662131349699149968802706905083676178), SC_(0.9997288040735046086759949196286322002492), SC_(0.0002711959264953913240050803713677997508421) }}, 
+      {{ SC_(0.139016165121574886143207550048828125e-4), SC_(0.3188882328686304390430450439453125e-4), SC_(0.81474220752716064453125), SC_(71935.56143195648321209894597982190925135), SC_(31357.46843093207518473308985368320533006), SC_(0.6964222225589077802406713530999497187926), SC_(0.3035777774410922197593286469000502812074) }}, 
+      {{ SC_(0.14759907571715302765369415283203125e-4), SC_(2.8241312503814697265625), SC_(0.632396042346954345703125), SC_(67749.64468000029269520566988398084664291), SC_(0.02906706447901268252429885336709779665611), SC_(0.9999995709637719063997441118286889404404), SC_(0.4290362280936002558881713110595595793096e-6) }}, 
+      {{ SC_(0.150794721776037476956844329833984375e-4), SC_(0.4875471131526865065097808837890625e-4), SC_(0.221111953258514404296875), SC_(66314.05927892349341973416366818795267336), SC_(20512.09739510432080805623001488366337009), SC_(0.763756704421306309320206420222803196485), SC_(0.236243295578693690679793579777196803515) }}, 
+      {{ SC_(0.1519624856882728636264801025390625e-4), SC_(16177.537109375), SC_(0.81474220752716064453125), SC_(65795.44709267135893551075697872372424105), SC_(BOOST_MATH_SMALL_CONSTANT(0.2027537374480409874707652773038782413935e-11849)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.3081577014933374612265415972232266786926e-11854)) }}, 
+      {{ SC_(0.1554497794131748378276824951171875e-4), SC_(40.46924591064453125), SC_(0.905801355838775634765625), SC_(64325.19244254056356455961240584532088293), SC_(0.822463871000651749828830546797984530393e-43), SC_(1.0), SC_(0.1278603047686689558334345413308146407234e-47) }}, 
+      {{ SC_(0.15675454051233828067779541015625e-4), SC_(0.000101913392427377402782440185546875), SC_(0.81474220752716064453125), SC_(63795.48621858577102490380365796969496633), SC_(9810.772055381842015487811747997830665087), SC_(0.8667128001689005026050394523916069667826), SC_(0.1332871998310994973949605476083930332174) }}, 
+      {{ SC_(0.15971760149113833904266357421875e-4), SC_(19.206241607666015625), SC_(0.913384497165679931640625), SC_(62607.00088023805345936256566188949995708), SC_(0.2234001688321881800710378923972526401497e-21), SC_(0.9999999999999999999999999964317062678097), SC_(0.3568293732190334165134476285535997648472e-26) }}, 
+      {{ SC_(0.16304524251609109342098236083984375e-4), SC_(0.00039033559733070433139801025390625), SC_(0.12707412242889404296875), SC_(61330.74255992408673684618143646855164824), SC_(2563.824473817131717490401647850652347432), SC_(0.9598741396516039259205408266092071862094), SC_(0.04012586034839607407945917339079281379055) }}, 
+      {{ SC_(0.16487292668898589909076690673828125e-4), SC_(470997.15625), SC_(0.12707412242889404296875), SC_(60639.13353449960017258664254772876309268), SC_(BOOST_MATH_SMALL_CONSTANT(0.5384739990831595984009356761636892828401e-27804)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.887997515295636614071071990663640203201e-27809)) }}, 
+      {{ SC_(0.165044693858362734317779541015625e-4), SC_(3.57584381103515625), SC_(0.3082362115383148193359375), SC_(60587.77026541341888225085862457381274413), SC_(0.1732225036748861524733225741802535443988), SC_(0.9999971409740337294746579825837771947623), SC_(0.2859025966270525342017416222805237665672e-5) }}, 
+      {{ SC_(0.166259487741626799106597900390625e-4), SC_(147818.875), SC_(0.632396042346954345703125), SC_(60134.46375982525806101037989862809783137), SC_(BOOST_MATH_SMALL_CONSTANT(0.1037988440880944042360986327562736779854e-64249)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1726112408728927999761612396367365655052e-64254)) }}, 
+      {{ SC_(0.16847467122715897858142852783203125e-4), SC_(0.002207652665674686431884765625), SC_(0.9688708782196044921875), SC_(59359.52475707738611546412137293027748567), SC_(449.5447623669572666846242510916839845304), SC_(0.9924836690157701392419526809332561139692), SC_(0.007516330984229860758047319066743886030786) }}, 
+      {{ SC_(0.1747490387060679495334625244140625e-4), SC_(0.26349246501922607421875), SC_(0.632396042346954345703125), SC_(57225.14946260528992955268005621257633375), SC_(3.201269200695144242963625771809339374153), SC_(0.9999440614807213732173180138063205712752), SC_(0.5593851927862678268198619367942872477437e-4) }}, 
+      {{ SC_(0.17863809262053109705448150634765625e-4), SC_(439.38714599609375), SC_(0.8350250720977783203125), SC_(55972.44090864893014330138933206516204433), SC_(0.3791074904984294581987640686637822179263e-346), SC_(1.0), SC_(0.6773109843774015299501716456463481210658e-351) }}, 
+      {{ SC_(0.1895247623906470835208892822265625e-4), SC_(1.07109558582305908203125), SC_(0.9688708782196044921875), SC_(52763.41949943324228341686952963434540238), SC_(0.02308304962964954759921229436647956617731), SC_(0.9999995625181280852782419366072564332654), SC_(0.4374818719147217580633927435667345739681e-6) }}, 
+      {{ SC_(0.19740999050554819405078887939453125e-4), SC_(105.41565704345703125), SC_(0.3082362115383148193359375), SC_(50650.76748327468387622526146707985788856), SC_(0.4058462091652395705622130232256784578791e-18), SC_(0.999999999999999999999991987363087849489), SC_(0.8012636912150510965168560289672323749562e-23) }}, 
+      {{ SC_(0.2004335328820161521434783935546875e-4), SC_(482.00701904296875), SC_(0.905801355838775634765625), SC_(49885.0975467399541005594058055485920959), SC_(0.6952488973381382600133321305803386175123e-497), SC_(1.0), SC_(0.1393700587007418889673088312510010012273e-501) }}, 
+      {{ SC_(0.2017128645093180239200592041015625e-4), SC_(232.9792938232421875), SC_(0.1355634629726409912109375), SC_(49569.39447695058637088307802861825336459), SC_(0.5613839078401083563926364753233791797764e-16), SC_(0.9999999999999999999988674787865299668824), SC_(0.1132521213470033117556444752410328436421e-20) }}, 
+      {{ SC_(0.20203804524498991668224334716796875e-4), SC_(42.8336334228515625), SC_(0.1355634629726409912109375), SC_(49491.30543730291452299570686539488489706), SC_(0.0002970093232930177329636992017779607619212), SC_(0.9999999939987575820392696584870441824195), SC_(0.6001242417960730341512955817580536150083e-8) }}, 
+      {{ SC_(0.20300331016187556087970733642578125e-4), SC_(42.38938140869140625), SC_(0.9688708782196044921875), SC_(49255.96842848213676438936988840982061108), SC_(0.3254102070311191847990477740588760715854e-65), SC_(1.0), SC_(0.660651322902325825501909533025783367306e-70) }}, 
+      {{ SC_(0.2051885167020373046398162841796875e-4), SC_(236087.890625), SC_(0.8350250720977783203125), SC_(48722.72335464117531549642945589803667543), SC_(BOOST_MATH_SMALL_CONSTANT(0.3623657681223884685762672034466978337415e-184763)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.7437305289460397760237525357326064309497e-184768)) }}, 
+      {{ SC_(0.21041001673438586294651031494140625e-4), SC_(3.8230969905853271484375), SC_(0.12707412242889404296875), SC_(47523.85310963552184634237668034540815544), SC_(0.6195869439847247414271234613685101142876), SC_(0.9999869627813034247834524610650576290292), SC_(0.1303721869657521654753893494237097084781e-4) }}, 
+      {{ SC_(0.2107691761921159923076629638671875e-4), SC_(0.04489715397357940673828125), SC_(0.221111953258514404296875), SC_(47443.99666807844164422517130961809149441), SC_(23.47266252209839487239051712128153957277), SC_(0.999505500022370764381415753210237199735), SC_(0.0004944999776292356185842467897628002650075) }}, 
+      {{ SC_(0.21139929231139831244945526123046875e-4), SC_(0.17535277947899885475635528564453125e-4), SC_(0.8350250720977783203125), SC_(47305.46963235175970278465413513213767625), SC_(57026.27394012006075825157468938510447443), SC_(0.4534139659948462776784686703995923371492), SC_(0.5465860340051537223215313296004076628508) }}, 
+      {{ SC_(0.21433561414596624672412872314453125e-4), SC_(3719.279052734375), SC_(0.81474220752716064453125), SC_(46647.00459679377138587098836772819692673), SC_(0.1495926352972579290785339523472754005755e-2726), SC_(1.0), SC_(0.3206907637270668567387926794334274553413e-2731) }}, 
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+      {{ SC_(481669.8125), SC_(360.35894775390625), SC_(0.8350250720977783203125), SC_(BOOST_MATH_SMALL_CONSTANT(0.1292404819014634354658936369356745477441e-38001)), SC_(0.1184119790891173687044477395438058404198e-1283), SC_(BOOST_MATH_SMALL_CONSTANT(0.1091447697231683701613307519286097336645e-36717)), SC_(1.0) }}, 
+      {{ SC_(485412.125), SC_(483725.21875), SC_(0.81474220752716064453125), SC_(BOOST_MATH_SMALL_CONSTANT(0.8593009078995238625969168132860357389775e-291741)), SC_(BOOST_MATH_SMALL_CONSTANT(0.4682031506788712249402837988058297965792e-397392)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.544865187939051001712434628531605526675e-105651)) }}, 
+      {{ SC_(489093.59375), SC_(101.60869598388671875), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.2679049247465053509778519007374647739724e-320562)), SC_(0.1239584973345346670544577370734255574289e-418), SC_(BOOST_MATH_SMALL_CONSTANT(0.2161246953675901063139086740469757800594e-320143)), SC_(1.0) }}, 
+      {{ SC_(489183.34375), SC_(118808.328125), SC_(0.905801355838775634765625), SC_(BOOST_MATH_SMALL_CONSTANT(0.1458359410123570793275225181353576621217e-130434)), SC_(BOOST_MATH_SMALL_CONSTANT(0.259453747115697820698795192063284012701e-142915)), SC_(1.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1779079596666185278653733063531830995884e-12480)) }}, 
+      {{ SC_(491651.625), SC_(32.955524444580078125), SC_(0.3082362115383148193359375), SC_(BOOST_MATH_SMALL_CONSTANT(0.1033057257566332368173504705063859426151e-251301)), SC_(0.603837473523874333668117011509794982175e-152), SC_(BOOST_MATH_SMALL_CONSTANT(0.1710820051524158477748585452714475118872e-251149)), SC_(1.0) }}, 
+      {{ SC_(499024.09375), SC_(0.3617647588253021240234375), SC_(0.221111953258514404296875), SC_(BOOST_MATH_SMALL_CONSTANT(0.1198688160746637782814955712359261486421e-327059)), SC_(0.0213597393543653960374826366383814420494), SC_(BOOST_MATH_SMALL_CONSTANT(0.5611904437877215617130419280865220458283e-327058)), SC_(1.0) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/ibeta_small_data.ipp b/src/boost/libs/math/test/ibeta_small_data.ipp
new file mode 100644
index 000000000..abac66f52
--- /dev/null
+++ b/src/boost/libs/math/test/ibeta_small_data.ipp
@@ -0,0 +1,509 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 7>, 500> ibeta_small_data = { {
+      {{ SC_(0.011510574258863925933837890625), SC_(2.726669788360595703125), SC_(0.913345992565155029296875), SC_(85.50804647765112454526520766832090120908), SC_(0.0004969774007283958673037601318581948437309), SC_(0.9999941879795790272650838125485136788379), SC_(0.5812020420972734916187451486321162137375e-5) }}, 
+      {{ SC_(0.0463422574102878570556640625), SC_(0.34317314624786376953125), SC_(0.24176712334156036376953125), SC_(20.36367089471426800179696837574809289039), SC_(3.630773740238788693031723031598949317136), SC_(0.8486827348798151491124959025982318049325), SC_(0.1513172651201848508875040974017681950675) }}, 
+      {{ SC_(0.06715317070484161376953125), SC_(2.30631923675537109375), SC_(0.908442795276641845703125), SC_(13.78727207173260438424514878253152024011), SC_(0.001859217475218142037637565734833320618317), SC_(0.9998651679038930266805148691555636600556), SC_(0.0001348320961069733194851308444363399443688) }}, 
+      {{ SC_(0.1190207004547119140625), SC_(7.26954746246337890625), SC_(0.19963125884532928466796875), SC_(6.225047194692518378537141946282961080975), SC_(0.08420413075357450486624447742592649170405), SC_(0.9866538632858121421788318729611834919717), SC_(0.01334613671418785782116812703881650802825) }}, 
+      {{ SC_(0.1540344059467315673828125), SC_(4.049813747406005859375), SC_(0.3462987840175628662109375), SC_(4.872033861103043731550905432482222659763), SC_(0.08561968850485947325255754361164029251743), SC_(0.9827297959310547093553196782752749843992), SC_(0.01727020406894529064468032172472501560077) }}, 
+      {{ SC_(0.15487124025821685791015625), SC_(8.16117000579833984375), SC_(0.678767263889312744140625), SC_(4.38038087876606402301557100951561214911), SC_(0.1540537895441550779731794373253219559374e-4), SC_(0.999996483108386751271915947803000461492), SC_(0.3516891613248728084052196999538507955892e-5) }}, 
+      {{ SC_(0.2251259386539459228515625), SC_(0.4898320138454437255859375), SC_(0.79967319965362548828125), SC_(4.764013990849157580013322088552892632018), SC_(0.9820281524501242644370508756885101403883), SC_(0.8290948573018540323461920074910160298235), SC_(0.1709051426981459676538079925089839701765) }}, 
+      {{ SC_(0.2867415249347686767578125), SC_(5.96057987213134765625), SC_(0.575251102447509765625), SC_(1.911839728052784613470170990261300207059), SC_(0.001412230939458232329324385634994224021816), SC_(0.9992618688130328170087283879882410324961), SC_(0.0007381311869671829912716120117589675039269) }}, 
+      {{ SC_(0.2922028005123138427734375), SC_(2.659206867218017578125), SC_(0.4733414947986602783203125), SC_(2.306780982820498015018593188560459962841), SC_(0.09785807660771959252183084474688989446611), SC_(0.9593044635018992897241131636398162350677), SC_(0.04069553649810071027588683636018376493234) }}, 
+      {{ SC_(0.30540943145751953125), SC_(4.23978328704833984375), SC_(0.546926796436309814453125), SC_(1.925766552541500211935789109529683925689), SC_(0.01136621113828240461645649770280082638802), SC_(0.9941324563027414190664847981329029657831), SC_(0.005867543697258580933515201867097034216903) }}, 
+      {{ SC_(0.318328440189361572265625), SC_(3.1655042171478271484375), SC_(0.077649272978305816650390625), SC_(1.337499870967964297403057650377070193563), SC_(0.6794195418585711764434318012650276929832), SC_(0.6631399660602084538462156083737590843824), SC_(0.3368600339397915461537843916262409156176) }}, 
+      {{ SC_(0.326008260250091552734375), SC_(0.625432431697845458984375), SC_(0.743158161640167236328125), SC_(3.078454179457483361692247221422692039972), SC_(0.7360974885092882497469458885357603771633), SC_(0.8070290947450602569822924525981547293294), SC_(0.1929709052549397430177075474018452706706) }}, 
+      {{ SC_(0.3360383510589599609375), SC_(5.28920650482177734375), SC_(0.81474220752716064453125), SC_(1.550409503660757234080944256429985207784), SC_(0.2836427788609597588510100729645041742761e-4), SC_(0.9999817056339550018928818220116909157891), SC_(0.1829436604499810711817798830908421094105e-4) }}, 
+      {{ SC_(0.344460785388946533203125), SC_(6.63605499267578125), SC_(0.096544884145259857177734375), SC_(1.138099220831291561221229605806786314538), SC_(0.2341007981779031558780678617792900307434), SC_(0.8293974676177770014617748040947131716032), SC_(0.1706025323822229985382251959052868283968) }}, 
+      {{ SC_(0.3571167886257171630859375), SC_(3.6129398345947265625), SC_(0.046266771852970123291015625), SC_(0.9053135817270937856051949826437502245961), SC_(0.7221758562362922538389449085733137575244), SC_(0.5562638752728180895224241888333329380732), SC_(0.4437361247271819104775758111666670619268) }}, 
+      {{ SC_(0.357627332210540771484375), SC_(8.064510345458984375), SC_(0.92886126041412353515625), SC_(1.197177044295353240338824861021333896969), SC_(0.7152754878374974083055684082879234042397e-10), SC_(0.9999999999402531571079558956505173243843), SC_(0.597468428920441043494826756157346017527e-10) }}, 
+      {{ SC_(0.377388656139373779296875), SC_(8.8396854400634765625), SC_(0.50323975086212158203125), SC_(1.048244561726343473675201855489355128708), SC_(0.0003378999437661089518583588179790252882915), SC_(0.999677755487891791262427317664954237941), SC_(0.0003222445121082087375726823350457620590389) }}, 
+      {{ SC_(0.424311339855194091796875), SC_(8.71805095672607421875), SC_(0.594544112682342529296875), SC_(0.8450634150576302527396320143587314116559), SC_(0.5692485563137910015348490929019764830298e-4), SC_(0.9999326428995458545641785392037209582211), SC_(0.6735710045414543582146079627904177891161e-4) }}, 
+      {{ SC_(0.4302380084991455078125), SC_(9.08433628082275390625), SC_(0.3500487506389617919921875), SC_(0.8041671576172428143402874467426430937693), SC_(0.003657242502533209987243300892131746946366), SC_(0.995472725877070621917637160657188675184), SC_(0.004527274122929378082362839342811324816028) }}, 
+      {{ SC_(0.4617138803005218505859375), SC_(1.49113976955413818359375), SC_(0.081217654049396514892578125), SC_(0.6708426431384324314892486199862307536228), SC_(1.06148098502757264044386168615001572695), SC_(0.3872501836441769856742304061740122471689), SC_(0.6127498163558230143257695938259877528311) }}, 
+      {{ SC_(0.4965442717075347900390625), SC_(8.234554290771484375), SC_(0.3013162314891815185546875), SC_(0.6255445999459755311064947246119255484269), SC_(0.01047121638037352884799746710410909796172), SC_(0.9835362327294694289867309219284499434766), SC_(0.01646376727053057101326907807155005652337) }}, 
+      {{ SC_(0.526769936084747314453125), SC_(9.4657726287841796875), SC_(0.695263326168060302734375), SC_(0.5223867123087661970619213259031225900887), SC_(0.1604184643861934563272584858102025314868e-5), SC_(0.9999969291337627338160603638685334704082), SC_(0.3070866237266183939636131466529591820232e-5) }}, 
+      {{ SC_(0.539501190185546875), SC_(3.5276241302490234375), SC_(0.184897840023040771484375), SC_(0.6337086405553985369329386662133114583969), SC_(0.2298885748176341425212030686754049306522), SC_(0.7338011624802040649313396945278096189402), SC_(0.2661988375197959350686603054721903810598) }}, 
+      {{ SC_(0.596188604831695556640625), SC_(9.52472019195556640625), SC_(0.587086021900177001953125), SC_(0.3957027656575689988900171488472459553927), SC_(0.2784518837222712883966491998692226153708e-4), SC_(0.9999296360008322244237915105214427770265), SC_(0.7036399916777557620848947855722297349452e-4) }}, 
+      {{ SC_(0.597795426845550537109375), SC_(4.3524570465087890625), SC_(0.3404516875743865966796875), SC_(0.5857283108172326731547619033650850279516), SC_(0.05176933170314495414753269319008084049281), SC_(0.9187929048671107105645293523464974421304), SC_(0.08120709513288928943547064765350255786955) }}, 
+      {{ SC_(0.604711830615997314453125), SC_(2.7766406536102294921875), SC_(0.65411365032196044921875), SC_(0.8104703643388840470345296228912560465778), SC_(0.02126375318260348616345995572262831556693), SC_(0.9744344343526894636219031995625457203905), SC_(0.02556556564731053637809680043745427960951) }}, 
+      {{ SC_(0.679927647113800048828125), SC_(9.0447483062744140625), SC_(0.887737333774566650390625), SC_(0.3013615312130418242114530511558325766293), SC_(0.2937963547130558679504530467684762405074e-9), SC_(0.999999999025103326081320534896178383616), SC_(0.9748966739186794651038216163839749164796e-9) }}, 
+      {{ SC_(0.688061058521270751953125), SC_(2.9616763591766357421875), SC_(0.815787494182586669921875), SC_(0.6441996486596996003790817490051121624011), SC_(0.0023593844359375506996753278475536050391), SC_(0.9963508599908640401822148000540199843775), SC_(0.003649140009135959817785199945980015622505) }}, 
+      {{ SC_(0.71445453166961669921875), SC_(9.34602642059326171875), SC_(0.5949366092681884765625), SC_(0.2611868075149835081076007360078062823636), SC_(0.2618210260815823472350439860777132136683e-4), SC_(0.9998997672257934489288388082946320821168), SC_(0.0001002327742065510711611917053679178831703) }}, 
+      {{ SC_(0.75854289531707763671875), SC_(4.042085170745849609375), SC_(0.18398940563201904296875), SC_(0.2869641794222026502350604842071731344923), SC_(0.1433368221355461874324336015227538920014), SC_(0.6668917301687721681209003462437186369765), SC_(0.3331082698312278318790996537562813630235) }}, 
+      {{ SC_(0.759666860103607177734375), SC_(7.62421321868896484375), SC_(0.285910427570343017578125), SC_(0.2494067464807902016116972999567207456019), SC_(0.01285822954049965889923791220383840028034), SC_(0.9509723725387721326945071222846981919121), SC_(0.04902762746122786730549287771530180808794) }}, 
+      {{ SC_(0.78175532817840576171875), SC_(8.5445098876953125), SC_(0.2395785152912139892578125), SC_(0.2092181979177349561806385620026173078435), SC_(0.01454489283267034607676299413579126814072), SC_(0.9349986953438432477441465286773755595707), SC_(0.06500130465615675225585347132262444042931) }}, 
+      {{ SC_(0.811257660388946533203125), SC_(3.7941887378692626953125), SC_(0.379480898380279541015625), SC_(0.3489982897256404699956459179424488728876), SC_(0.04918171477157487449577833255024935191165), SC_(0.876483715364670390428440227316937452589), SC_(0.123516284635329609571559772683062547411) }}, 
+      {{ SC_(0.834698200225830078125), SC_(9.0694408416748046875), SC_(0.644353687763214111328125), SC_(0.1803151611837914682987734789219117172738), SC_(0.9959010328687650223890520801118033780347e-5), SC_(0.9999447719190872199805310662295119611992), SC_(0.5522808091278001946893377048803880084592e-4) }}, 
+      {{ SC_(0.83821380138397216796875), SC_(9.12577533721923828125), SC_(0.22599919140338897705078125), SC_(0.1645323980962702319386216945486588491031), SC_(0.01289064037523516697593443936007900173636), SC_(0.9273451718204823928666892977505184246911), SC_(0.07265482817951760713331070224948157530893) }}, 
+      {{ SC_(0.84435856342315673828125), SC_(3.462334156036376953125), SC_(0.2511587440967559814453125), SC_(0.2764659412617420491570801392360458860717), SC_(0.1225038182191884368747109382285656512776), SC_(0.6929496150821833440766199995023216044932), SC_(0.3070503849178166559233800004976783955068) }}, 
+      {{ SC_(0.8551578521728515625), SC_(9.93534755706787109375), SC_(0.47097623348236083984375), SC_(0.156230204191103226500775887222958181338), SC_(0.0001981074086433488391675923367618586808585), SC_(0.9987335578411774548179603749802068600465), SC_(0.001266442158822545182039625019793139953536) }}, 
+      {{ SC_(0.908232867717742919921875), SC_(0.678848326206207275390625), SC_(0.84073317050933837890625), SC_(1.160861004416774987619512191580855025408), SC_(0.4258943431472485997275346962213866620687), SC_(0.7315941970505542617319292810425302688679), SC_(0.2684058029494457382680707189574697311321) }}, 
+      {{ SC_(0.9111347198486328125), SC_(0.862172305583953857421875), SC_(0.95751106739044189453125), SC_(1.185899552667666342813996371641383797478), SC_(0.07629806988531935777484778370164513501807), SC_(0.9395514073850060300319313133177312277542), SC_(0.06044859261499396996806868668226877224576) }}, 
+      {{ SC_(0.942293345928192138671875), SC_(7.764537811279296875), SC_(0.808194696903228759765625), SC_(0.1508102710294228670066826109456423951132), SC_(0.3518058068135974193879013653354450359381e-6), SC_(0.9999976672345740659931913764741265832628), SC_(0.2332765425934006808623525873416737195291e-5) }}, 
+      {{ SC_(0.96454536914825439453125), SC_(2.23419952392578125), SC_(0.3250310420989990234375), SC_(0.2834732098610328524396528653108034866255), SC_(0.190436076037379824356986932760536605902), SC_(0.5981592222309782861598154404834535951026), SC_(0.4018407777690217138401845595165464048974) }}, 
+      {{ SC_(0.96730029582977294921875), SC_(2.896893978118896484375), SC_(0.602882802486419677734375), SC_(0.3423822991371558430034363809431602080871), SC_(0.02405649095246888986382317565418043208486), SC_(0.9343505884118188500531298388527642525024), SC_(0.06564941158818114994687016114723574749757) }}, 
+      {{ SC_(0.971317768096923828125), SC_(9.940685272216796875), SC_(0.0839129984378814697265625), SC_(0.06504707109648754329244702454735921458691), SC_(0.04441883725199691091650283777368267306258), SC_(0.5942221836721104979700277018504213130339), SC_(0.4057778163278895020299722981495786869661) }}, 
+      {{ SC_(0.975403964519500732421875), SC_(5.472205638885498046875), SC_(0.01363777182996273040771484375), SC_(0.01507880323004283665619215274236779141942), SC_(0.1786982587181325975438620221056624556374), SC_(0.07781521238089354585457864638797415249968), SC_(0.9221847876191064541454213536120258475003) }}, 
+      {{ SC_(0.987122833728790283203125), SC_(7.66854095458984375), SC_(0.5060064792633056640625), SC_(0.1344070858100725893412090975881710295211), SC_(0.0005885866608641503352046318734400675414602), SC_(0.9956399590439399652567966381947768119441), SC_(0.004360040956060034743203361805223188055887) }}, 
+      {{ SC_(1.056292057037353515625), SC_(6.812713623046875), SC_(0.82583439350128173828125), SC_(0.1273249881224593174456085109406883283434), SC_(0.9807107058749212025388445092701407127597e-6), SC_(0.9999922976379849114418469705444366389974), SC_(0.7702362015088558153029455563361002570531e-5) }}, 
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+      {{ SC_(9.7974834442138671875), SC_(3.546381473541259765625), SC_(0.43892610073089599609375), SC_(0.8846383934988994958104111659144072787642e-5), SC_(0.0006942444162306305791078085627402992944978), SC_(0.01258213581077315616174240184063815608328), SC_(0.9874178641892268438382575981593618439167) }}, 
+      {{ SC_(9.816379547119140625), SC_(4.97869396209716796875), SC_(0.7558143138885498046875), SC_(0.8471586497414725426535462974925383298225e-4), SC_(0.2600787706776670771042095868990896095329e-4), SC_(0.7651102050188879474911089577484436075733), SC_(0.2348897949811120525088910422515563924267) }}, 
+      {{ SC_(9.82663440704345703125), SC_(8.9943599700927734375), SC_(0.79222810268402099609375), SC_(0.2564909668495030018187514949876471506381e-5), SC_(0.1328272157019951695723866392922830834089e-7), SC_(0.9948480487253848974511529374575346247921), SC_(0.005151951274615102548847062542465375207862) }}, 
+      {{ SC_(9.83052539825439453125), SC_(5.54380321502685546875), SC_(0.711244642734527587890625), SC_(0.4142099063694028106257790388260333526588e-4), SC_(0.1706128131291109079313412403482492307802e-4), SC_(0.7082657573983930918019463517369821910095), SC_(0.2917342426016069081980536482630178089905) }}, 
+      {{ SC_(9.84063720703125), SC_(2.9338824748992919921875), SC_(0.679551780223846435546875), SC_(0.0003620677940926280979183654032292271566579), SC_(0.001398063860838349825529157603027032578726), SC_(0.2057049500122911434857054575556857430709), SC_(0.7942950499877088565142945424443142569291) }}, 
+      {{ SC_(9.8798198699951171875), SC_(7.69243144989013671875), SC_(0.498594343662261962890625), SC_(0.2102276377997196459781769309658523199559e-5), SC_(0.5090672027747954852585150635916233053816e-5), SC_(0.2922690751289229878585770869253518082993), SC_(0.7077309248710770121414229130746481917007) }}, 
+      {{ SC_(9.9613475799560546875), SC_(4.475843906402587890625), SC_(0.2373598515987396240234375), SC_(0.2596148971864002645551220232138375643592e-7), SC_(0.0001912089032647389537199491735362492125718), SC_(0.0001357570950881480228485230092737049890207), SC_(0.999864242904911851977151476990726295011) }}, 
+      {{ SC_(9.9908046722412109375), SC_(6.74212932586669921875), SC_(0.73282539844512939453125), SC_(0.1400972426630799368521044086815964034595e-4), SC_(0.1993917002921952527694349144803786583093e-5), SC_(0.8754085417575787330833090864097798601476), SC_(0.1245914582424212669166909135902201398524) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/igamma_big_data.ipp b/src/boost/libs/math/test/igamma_big_data.ipp
new file mode 100644
index 000000000..70aeab65b
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_big_data.ipp
@@ -0,0 +1,295 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 287> igamma_big_data = { {
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655441178896580822765827178955078125e-7), SC_(-1.0), SC_(0.2993117912029903240422582053899047098779533956541385552546168739467202263345519375546082579259835689e-4), SC_(577797.90391619920649973095027584836128926282155274216943338008435801586707772349755359609709258809), SC_(0.9999700688208797009675957741794610095290122046604345861444745383126053279773665448062442806862583006) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.8653277063785935752093791961669921875e-6), SC_(13.38277582367555562294055416847373915500263659346494217875993623821221196887112446988546507684731302), SC_(0.2316099655383339755405731669847576162961123204586203558223557251327214945205980959748823352959805302e-4), SC_(577801.8158305834504756449335090514614341009677858339594077124115869397920785194231187741120056354752), SC_(0.9999768390034461666024459426833015242383703887679541379644177644274867278505479401904023114002150846) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.15575898260067333467304706573486328125e-5), SC_(12.79500378214091254793715786456975103024623413471734292810881005720669047076428987935745392946724363), SC_(0.2214376467251173939070843604623148303831679646741287024258011317172427658231597089388494422353631048e-4), SC_(577802.4036026249851187199369053553654222257241882927070069630627131207976000175299533646400167828553), SC_(0.9999778562353274882606092915639537685169616832035325871297574198868282757234176840291059234224082336) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.1730655412757187150418758392333984375e-5), SC_(12.68964583907062077871829961486723468135682689673266287978904878277523088091119954467857396528045035), SC_(0.2196142619591161296471772336172777007255716660501426039935550192381060291894820144394071807910637318e-4), SC_(577802.5089605680554104891557636050679385746135955306916870113824743952290596073830436993188967470421), SC_(0.9999780385738040883870352822766382722299274428333949857396006444980761893970810517985558692139197711) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.19037209995076409541070461273193359375e-5), SC_(12.59433798893655043954589862357055470940362305301481664366705173244103638298812628401438143132385277), SC_(0.2179648098442542012919725801196235526752581619134538802152189012490537997981862095991665699048812574e-4), SC_(577802.6042684181894808283281645963646185465667993744095332475044714455632541053061169599830892809987), SC_(0.9999782035190155745798708027419880376447324741838086546119784781098750946200201813790398946910551472) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(0.346131082551437430083751678466796875e-5), SC_(11.99651588829393824582180456312241868001302147867883382726363976385247472204566448446731588772998297), SC_(0.2076185589653493482621881863527269295135816556729123147246768142978789975019603223353600738511731743e-4), SC_(577803.2020905188320930220522586568127545759574009487455160639078834141518157662485787595301548245925), SC_(0.9999792381441034650651737811813647273070486418344327087685275323185702121002498039677662842228674524) }}, 
+      {{ SC_(0.1730655412757187150418758392333984375e-5), SC_(100.0), SC_(0.3683627182454331134963955188773865444199332047934531274456895593248745425858894973030111393161584247e-45), SC_(0.6375095690349819561521120606914926108297136245134545709768047316328210161282911224399118544097308838e-51), SC_(577815.1986064071260312678740632199351732559704224270559871729260900645078949694168616600942877298302), SC_(0.9999999999999999999999999999999999999999999999999993624904309650180438478879393085073891702863754865) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.2165750601079707848839461803436279296875e-7), SC_(17.07036298743991829639232909707087901526592903518599127734139540188516463205963663609773648657087723), SC_(0.3697019560232757110772732624480593336583723516402296244222007952690817919777008967240987096315205331e-4), SC_(461716.0286732860299357310725043145832190410385140498351914099753626833373215850444505022444334646984), SC_(0.999963029804397672428892272673755194066634162764835977037557779920473091820802229910327270922330567) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1082875314750708639621734619140625e-5), SC_(13.15847397691465595815267467658117236635160976637264298180412548481293452753278961720297628581992752), SC_(0.2849800892415757764539734483805658830800200360898241591461531657548830413725265774914562236687744426e-4), SC_(461719.9405622965551980693121587350729256899528333186485397055126326004095516895712975211391936654494), SC_(0.9999715019910758424223546026551619434116919979963910175840853846834245116958627473422506079043676802) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.1949175612026010639965534210205078125e-5), SC_(12.57070526636212517657129379971158284943858132030323149197288591584777613568565108919579056236543589), SC_(0.2722504687794664306569369785134358990534116641373655972975320770778744429628254055229370221303254972e-4), SC_(461720.5283310071077288508935396119425152068658617647179511953438721693747100814184360491463793889039), SC_(0.9999727749531220533569343063021486564100946588335862634402702467922922125557037174594474707528583518) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.216575062950141727924346923828125e-5), SC_(12.46534797873423664682712357366176987162472172738379809193584747614716729169916499965524978602165451), SC_(0.2699686898069866664183548452276314691424700035617881842498407894456650352425582613848998322249744459e-4), SC_(461720.6336882947356173806377098379923281846797213576373845953809106090753189254049221386869201652476), SC_(0.9999730031310193013333581645154772368530857529996438211815750159210554334964757441738612764307485453) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.2382325646976823918521404266357421875e-5), SC_(12.37004071696991805388122752478307298700621276058091950265758048467078476384585545609003052590305182), SC_(0.2679045696050075721547716691574204592244930158617242358470809118887179680331039379286281767451411551e-4), SC_(461720.7289955564999359735836058868710250692982303244402631846591776005517014532582316822521394253662), SC_(0.9999732095430394992427845228330842579540775506984138275764152919088111282031966896062069053683368566) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(0.43315012590028345584869384765625e-5), SC_(11.77222202288641210205964167726460731035184670773110091246245945382178746024664362553109279728970161), SC_(0.2549572912892171401404180030095052432599185661069912133627122154282800848058328121324720391504851142e-4), SC_(461721.3268142505834419254051917343894907459525963772900817748542986314006987568574435128110771539796), SC_(0.9999745042708710782859859581996990494756740081433893008786637287784571719915194167187865320972916923) }}, 
+      {{ SC_(0.216575062950141727924346923828125e-5), SC_(100.0), SC_(0.3683634579017030862943995949753137846949736979296757741127256914376144677962154307133740093495808363e-45), SC_(0.7977843881466350722692047722021738976382706440159930605192038431116437783506465250207545631610617926e-51), SC_(461733.0990362734698540274648334116540980563044430846528192294150549989280866221287773176113335726772), SC_(0.999999999999999999999999999999999999999999999999999202215611853364927730795227797826102361729355984) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.7270019608540678746066987514495849609375e-7), SC_(15.85873131324027603680994500593701083673995551510827497457378784799406402441597983944788065984676601), SC_(0.0001152937700708314574190375921633958573930633611632172214032709001883959995018869165672190219989383104), SC_(137534.7765154773198155043727784530103263311602038221971826660153368209797591918890572085146268195923), SC_(0.9998847062299291685425809624078366041426069366388367827785967290998116040004981130834317859606150677) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.363500976163777522742748260498046875e-5), SC_(11.94712370377855206849356853972802387128008268591504291389545599044297977188193456270625002844103574), SC_(0.868561870495419015631694962376837056380169046553848836742030704855372577688384839675927895023169524e-4), SC_(137538.688123086781539472689154919219313296620076651390414726693668678530843444423102485256257450998), SC_(0.9999131438129504580984368305037623162943619830953446151163257969295144627422311615160316563336632746) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.654301766189746558666229248046875e-5), SC_(11.35939219617933366143120008086493854405691096926337486689608980095578074772077473924953323650483309), SC_(0.8258334958467143799950171794348266133126127344865110178937324906877842427949992341364148713573494716e-4), SC_(137539.2758545943807578797515233780823986238432483680420827736930348680180424685842623087129742429342), SC_(0.9999174166504153285620004982820565173386687387265513488982106267509312215757205000765856443189256825) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.72700195232755504548549652099609375e-5), SC_(11.25404152411781013189063221030791950069213486896481451201744166449599357258178579846150790743580515), SC_(0.8181744492801532375947886460140903722510746521679776491443785314602565395703504194717704954065827439e-4), SC_(137539.3812052664422814092920912486394176672080244683406431285716830044778296437232512495009995720032), SC_(0.9999181825550719846762405211353985909627748925347832022350855621468539743460429649580521153319173109) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.7997021384653635323047637939453125e-5), SC_(11.15874024755388081703378542276070157549981458020172273054652486564002395885863126609049696032298202), SC_(0.8112459987940510325956129320339107435160215638035605125726023380005315176840924661421761839904966304e-4), SC_(137539.476506543006210724148938036186635592400344757103734910042599803333799257446405781872010519116), SC_(0.9999188754001205948967404387067966089256483978436196439487427397661999468482315907533850807112287131) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(0.14540039046551100909709930419921875e-4), SC_(10.56095948655061168623605418003161853323578819344933772554926100916849496396397890725434425870422914), SC_(0.767787038395159161757367222671493221399764679021626603575413867936745207659445426399210347886488265e-4), SC_(137540.0742873040094798549466692789157186346643711438561199150398636598053282523410581407081632207348), SC_(0.9999232212961604840838242632777328506778600235320978373396424586132063254792340554573594146049528292) }}, 
+      {{ SC_(0.72700195232755504548549652099609375e-5), SC_(100.0), SC_(0.3683721352040578625035542191213058231001385172015235695102827758219171635643319097964745619715389846e-45), SC_(0.2678083852852675296525747931813028293308341797284316939479666731722330013321908997535126058327254522e-50), SC_(137550.635246790560091541182723458947337167900159336937085505385066806470268997183732405754158996547), SC_(0.9999999999999999999999999999999999999999999999999973219161471473247034742520681869717066916582027157) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000005421621608547866344451904296875e-6), SC_(15.20267805917854753815628244090214839667049079013284121307207600981527369429051379479050029246563141), SC_(0.000212839284799294089771515202962972979787263184811743923962510356993572455648372128284605839985121416), SC_(71412.76736757672594226777131614926452425899670482796435759812610549247602601578025739683076592211497), SC_(0.9997871607152007059102284847970370270202127368151882560760374896430064275443516278717135571888613995) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.70000023697502911090850830078125e-5), SC_(11.29141909326230883966958875900019584358646658107430454213881289111615105204428414548153264983317026), SC_(0.0001580811982483630764639288404865989626895654210675549296284020672607670587485524042452843453497320055), SC_(71416.67862654264218096625800983116647681208072903702289426905936861117514865802648704613973356474743), SC_(0.9998419188017516369235360711595134010373104345789324450703715979327392329412514475957533488014886493) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.126000040836515836417675018310546875e-4), SC_(10.70373329082055239449657483518606481142874325545821945131987913327529111609288538115779787067004457), SC_(0.0001498535277424495070345925587342959337960485628714949943651616208608914719572016270715187995841055091), SC_(71417.26631234508393741143102375498060784423845236263897935987830236901600859397788581046346834391056), SC_(0.9998501464722575504929654074412657040662039514371285050056348383791391085280427983729271849847834439) }}, 
+      {{ SC_(0.14000004739500582218170166015625e-4), SC_(0.14000004739500582218170166015625e-4), SC_(10.59839072270521094524351095575880524386997946950893653234037834073484898520661255840222881734977303), SC_(0.0001483787193718905056334122230314149572977420671679956361699029601390606768301478556951013052574995591), SC_(71417.37165491319927886068408763440786741179721614858826227885780316155645072486415863321903739723083), SC_(0.9998516212806281094943665877769685850427022579328320043638300970398609393231698521443036151408736946) }}, 
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+      {{ SC_(513669.1875), SC_(51366920.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.8455141442594780273582857781742586590386122698859368213816566938022783163150883258176324338235587287e-18347637)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8234759069615652019245476397172569750885541471334500479714655987220876801411179354025002722103325368e-21057953)), SC_(0.1026762455478787231848021279669200901989201648818956533640028599511278074166334792418412467632444988), SC_(1.0) }}, 
+      {{ SC_(788352.3125), SC_(1.0), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0), SC_(0.4666440397038730095030131088923330001395921365337505093937538015695853474965515882892883491065022498e-6), SC_(BOOST_MATH_SMALL_CONSTANT(0.1433908471829622508376220400714432285652733465995812102127318484064704211691023381454450301792300023e-4306319)) }}, 
+      {{ SC_(788352.3125), SC_(394176.15625), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0), SC_(0.2006257520633973004844236201403980302780110902909388684784270381180202010418543872474966575049005566), SC_(BOOST_MATH_SMALL_CONSTANT(0.6164848172783960800240480360461358265727377175617248578986815365384881763390067655148178076072402911e-66132)) }}, 
+      {{ SC_(788352.3125), SC_(788350.3125), SC_(0.162961216861866486196123635890099179907765436181771479621640418745608625572387287597608545912315394), SC_(0.5007488568506734531584407973208886646226494394047062415392632213315407911442369980288546641886893887), SC_(0.1624738083656850062172671442384129180894308808036804291026031361346630666772952933350920757512800554), SC_(0.4992511431493265468415592026791113353773505605952937584607367786684592088557630019711453358113106113) }}, 
+      {{ SC_(788352.3125), SC_(788352.3125), SC_(0.1626687717822932899593035312904247710866671194963517534486901004447793852560311314241268483442598936), SC_(0.4998502286855928443434206403315169955579486533591805378314370596112904256380207126657714482687295139), SC_(0.1627662534452582024540872488380873269105291974891001552755534544354923069936514495085737733193355558), SC_(0.5001497713144071556565793596684830044420513466408194621685629403887095743619792873342285517312704861) }}, 
+      {{ SC_(788352.3125), SC_(788354.3125), SC_(0.1623763274446328985015387393773169322760017933096679464665287143383813538555079409462603516012733209), SC_(0.4989516028002693214791004285569604766689865869988938477436476252444986636812350914588652370815612146), SC_(0.1630586977829185939118520407511951657211945236757839622577148405418903383941746399864402700623221286), SC_(0.5010483971997306785208995714430395233310134130011061522563523747555013363187649085411347629184387854) }}, 
+      {{ SC_(788352.3125), SC_(1576704.625), SC_(0.62966881391456604663265189232296651965212021691993178179931323658375951801607008550560163062833006), SC_(BOOST_MATH_SMALL_CONSTANT(0.1934852628337369167484390536774609470572595166386051921886173923840391906771189648683653522231175771e-105062)), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0) }}, 
+      {{ SC_(788352.3125), SC_(78835232.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.4164740077948943840500786922849307561907212018086545639004814350805550398839532201156819761152062039e-28012316)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1279745496059271390694582975257723346837265207507390129414161314216004095755396957400977650588924393e-32318629)), SC_(0.3254350252275514924133907801285120979971963169854519087242435548802716922496825809327006216635954494), SC_(1.0) }}, 
+      {{ SC_(1736170.0), SC_(1.0), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0), SC_(0.2118914928047443977144200433110895948573532788053230331876929560838004923241637943455403176192920957e-6), SC_(BOOST_MATH_SMALL_CONSTANT(0.1678638954845296242754981240024346426980228514280855063671268705695352948287648087179192945942541815e-10078987)) }}, 
+      {{ SC_(1736170.0), SC_(868085.0), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0), SC_(0.1448940961583454163407547513975813077281954384418820421315934004081116003090269523192520567562712675), SC_(BOOST_MATH_SMALL_CONSTANT(0.1147874654706537747553860317681134464810452807999399860509102977323900833593912850990760752412482674e-145637)) }}, 
+      {{ SC_(1736170.0), SC_(1736168.0), SC_(0.6317777290022475594523330311129906002358832226132013915031845078518775760353610272181933223363237277), SC_(0.500504618033028326360191641057343755999405997498206839871815176619438983969420893139030447209664989), SC_(0.6305037889687944450359199539867683474985226650229812801702613966546458595016893892268912941388886983), SC_(0.499495381966971673639808358942656244000594002501793160128184823380561016030579106860969552790335011) }}, 
+      {{ SC_(1736170.0), SC_(1736170.0), SC_(0.6310133650036994505936467834743236622047002119530026486269595591827934240774463130132409395432514033), SC_(0.49989907641044580817879562048675209725080620507540160516376663057508236554638837205467803575236936), SC_(0.6312681529673425538946062016254352855297056756831800230464863453237300114596041034318436769319610226), SC_(0.50010092358955419182120437951324790274919379492459839483623336942491763445361162794532196424763064) }}, 
+      {{ SC_(1736170.0), SC_(1736172.0), SC_(0.63024900188566778658967343804876836928228054774250423301619921925975649543556103050219224039778483), SC_(0.4992935354854227744062593568501916692180042004614849112072827608836331168589189268904245367712978671), SC_(0.632032516085374217898579547050990578452125339893678438657246685246766940101489385942892376077427596), SC_(0.5007064645145772255937406431498083307819957995385150887927172391163668831410810731095754632287021329) }}, 
+      {{ SC_(1736170.0), SC_(3472340.0), SC_(0.6014445720839096678691921265326588051367345601002845203175453094832083718879547519600219908634900144), SC_(BOOST_MATH_SMALL_CONSTANT(0.4764741965410820548147263974496875110171884751124591798801059384427379413001614590138374358389181743e-231373)), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0) }}, 
+      {{ SC_(1736170.0), SC_(173616992.0), SC_(BOOST_MATH_SMALL_CONSTANT(0.1028718049106474382663595835099645962497203244264180111334446299544683261400046764833876858973945412e-61095576)), SC_(BOOST_MATH_SMALL_CONSTANT(0.8149672117199407490039815813486797316083480325648451121983304934903758539219857770713382104685664004e-71174558)), SC_(0.1262281517971042004488252985099758947734405887636182671673445904506523435537050416445084616475212426), SC_(1.0) }}
+   } };
+
diff --git a/src/boost/libs/math/test/igamma_int_data.ipp b/src/boost/libs/math/test/igamma_int_data.ipp
new file mode 100644
index 000000000..c3f7c3afe
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_int_data.ipp
@@ -0,0 +1,149 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 140> igamma_int_data = { {
+      {{ SC_(0.5), SC_(0.004999999888241291046142578125), SC_(1.631267845368323485191815380032984903074365412587098308286220239190324188420710121791871591309590004), SC_(0.9203443263332001265162236927545643793578786527087679769237787431564844748135321134774112708209554194), SC_(0.1411860055371925421063521033081602797231840435352888199275875506625870961703220596656577919527041757), SC_(0.07965567366679987348377630724543562064212134729123202307622125684351552518646788652258872917904458057) }}, 
+      {{ SC_(0.5), SC_(0.25), SC_(0.8498918380799311297867616098602389766300312781938048348528626579829435160004444680322048858624092311), SC_(0.479500122186953462317253346108035471263548424242036299941194274352806478283146429109461900411394659), SC_(0.9225620128255848975114058734809062061675181779285822933609451318699677685905877134253244973998849491), SC_(0.520499877813046537682746653891964528736451575757963700058805725647193521716853570890538099588605341) }}, 
+      {{ SC_(0.5), SC_(0.449999988079071044921875), SC_(0.6075647752751784703583581789426278456752564880945645704809989500539948786183333019925969429005007538), SC_(0.3427817175407890768272360273834711985342418909050114189064883223090985450970247707985828865357086527), SC_(1.164889075630337556939809304398517337122292968027822557732808839798916405972698879464932440361793426), SC_(0.6572182824592109231727639726165288014657581090949885810935116776909014549029752292014171134642913473) }}, 
+      {{ SC_(0.5), SC_(0.5), SC_(0.5624182315944071242794949573020430690267675647965080152711827351225288269777202721053138351861008813), SC_(0.3173105078629141028295349087359241550441740665467912180252110995140171160255903409776584970430004241), SC_(1.210035619311108903018672526039102113770781891325879112942625054730382457613311909352215548076193299), SC_(0.6826894921370858971704650912640758449558259334532087819747889004859828839744096590223415029569995759) }}, 
+      {{ SC_(0.5), SC_(0.550000011920928955078125), SC_(0.5215730804923022694296157870452972118167645274078781347659207691038036243173236920652888890778334457), SC_(0.2942660990726723860419838415374453483460616872211918064199672606812661428450855377898215276021760526), SC_(1.250880770413213757868551696295847970980784928714508993447887020749107660273708489392240494184460734), SC_(0.7057339009273276139580161584625546516539383127788081935800327393187338571549144622101784723978239474) }}, 
+      {{ SC_(0.5), SC_(1.0), SC_(0.2788055852806619764992326110774391720885500824971744701584987919357006294674865183689945658651387992), SC_(0.1572992070502851306587793649173907407039330020336970915400621021652827459039891587248999441840165472), SC_(1.493648265624854050798934872263706010708999373625212658055308997917210655123545663088534817397155381), SC_(0.8427007929497148693412206350826092592960669979663029084599378978347172540960108412751000558159834528) }}, 
+      {{ SC_(0.5), SC_(100.0), SC_(0.3701747860408278920253566448133907572136210252033768764800615129976497004743801458060294976199881689e-44), SC_(0.2088487583762544757000786294957788611560818119321163727012213713938174695833440290513463628030792355e-44), SC_(1.772453850905516027298167483341145182797549452420639267805528869599344836457124609321319131228525415), SC_(0.999999999999999999999999999999999999999999997911512416237455242999213705042211388439181880678836273) }}, 
+      {{ SC_(1.0), SC_(0.00999999977648258209228515625), SC_(0.9900498339704614360382138392834551161113407838357779440886813669674202814166581683103367609018741592), SC_(0.9900498339704614360382138392834551161113407838357779440886813669674202814166581683014245491001600443), SC_(0.009950166029538563961786160716544883888659216164222055911318633032579718583341831698248133897676852056), SC_(0.009950166029538563961786160716544883888659216164222055911318633032579718583341831698575450899839955738) }}, 
+      {{ SC_(1.0), SC_(0.5), SC_(0.6065306597126334236037995349911804534419181354871869556828921587350565194137484240072325063075404673), SC_(0.606530659712633423603799534991180453441918135487186955682892158735056519413748423985704188802918523), SC_(0.393469340287366576396200465008819546558081864512813044317107841264943480586251576001352388492010544), SC_(0.393469340287366576396200465008819546558081864512813044317107841264943480586251576014295811197081477) }}, 
+      {{ SC_(1.0), SC_(0.89999997615814208984375), SC_(0.4065696694339752855534404747740105862953642332665029835031979841616081291898465027056760538362422369), SC_(0.4065696694339752855534404747740105862953642332665029835031979841616081291898465026775698931385242319), SC_(0.5934303305660247144465595252259894137046357667334970164968020158383918708101534973029088409633087743), SC_(0.5934303305660247144465595252259894137046357667334970164968020158383918708101534973224301068614757681) }}, 
+      {{ SC_(1.0), SC_(1.0), SC_(0.3678794411714423215955237701614608674458111310317678345078368016974614957448998033087215393207514013), SC_(0.3678794411714423215955237701614608674458111310317678345078368016974614957448998033055633330193769539), SC_(0.63212055882855767840447622983853913255418886896823216549216319830253850425510019669986335547879961), SC_(0.6321205588285576784044762298385391325541888689682321654921631983025385042551001966944366669806230461) }}, 
+      {{ SC_(1.0), SC_(1.10000002384185791015625), SC_(0.3328710757618145679671571848455601132593649668322841328963855852147267744456382506080158515376624924), SC_(0.332871075761814567967157184845560113259364966832284132896385585214726774445638250618965856020172342), SC_(0.6671289242381854320328428151544398867406350331677158671036144147852732255543617494005690432618885189), SC_(0.667128924238185432032842815154439886740635033167715867103614414785273225554361749381034143979827658) }}, 
+      {{ SC_(1.0), SC_(2.0), SC_(0.1353352832366126918939994949724844034076315459095758814681588726540733741014876899370981224906570488), SC_(0.1353352832366126918939994949724844034076315459095758814681588726540733741014876899415500621934116259), SC_(0.8646647167633873081060005050275155965923684540904241185318411273459266258985123100714867723088939625), SC_(0.8646647167633873081060005050275155965923684540904241185318411273459266258985123100584499378065883741) }}, 
+      {{ SC_(1.0), SC_(100.0), SC_(0.3720075976020835962959695803863118337358892292376781967120613876663290475895815718157118778642281497e-43), SC_(0.37200759760208359629596958038631183373588922923767819671206138766632904758958157182794930297528019e-43), SC_(0.9999999999999999999999999999999999999999999627992402397916403704030419613688166264196619710317313401), SC_(0.9999999999999999999999999999999999999999999627992402397916403704030419613688166264110770762321803288) }}, 
+      {{ SC_(4.5), SC_(0.04500000178813934326171875), SC_(11.63172821024549441698223162601989743958836118115278238773312379208547617681782066799483071466068875), SC_(0.9999999839815762404539939126624023829295483903490073208372721857918957147514500440457971141443476684), SC_(0.1863219545121619924834063678225205571246503831411699898288242541283108286160415992612505831218724607e-6), SC_(0.1601842375954600608733759761707045160965099267916272781420810428524854995595420288585565233163730242e-7) }}, 
+      {{ SC_(4.5), SC_(2.25), SC_(10.18403214286566234526019345802929635910911247967051220522868706375276166311515909530042932735839335), SC_(0.8755390252983378432498497196860962665082171215981371572250371700817082375787028909649723325825612257), SC_(1.447696253701786583884030651396968902999805826132653323674426557156968642013490188736000648552878518), SC_(0.1244609747016621567501502803139037334917828784018628427749628299182917624212971090350276674174387743) }}, 
+      {{ SC_(4.5), SC_(4.05000019073486328125), SC_(6.09619930418143348416524470101117228128122328067345332825921779733679304342948890732050183956106854), SC_(0.5241008985371801309146383358952143428740875054170474426280841553357280361181152065130979676546783232), SC_(5.535529092386015444978979408415092980827695025129712200643895823572937261699160376715928136350203327), SC_(0.4758991014628198690853616641047856571259124945829525573719158446642719638818847934869020323453216768) }}, 
+      {{ SC_(4.5), SC_(4.5), SC_(5.086254600275426697913639521658010730996650663525051864372270593095170813752910875972462124348963572), SC_(0.4372741889138670641009400424805416858000898092452887404106985701939067450505769204643336461025544414), SC_(6.545473796292022231230584587768254531112267642278113664530843027814559491375738408063967851562308295), SC_(0.5627258110861329358990599575194583141999101907547112595893014298060932549494230795356663538974455586) }}, 
+      {{ SC_(4.5), SC_(4.94999980926513671875), SC_(4.171619037527984520106404613863040137459486720891266230650903452565397410131822886149880468009497741), SC_(0.358641372571856074939053294589508679033634983899266698915641630338280455365687643506844120103652795), SC_(7.460109359039464409037819495563225124649431584911899298252210168344332894996826397886549507901774126), SC_(0.641358627428143925060946705410491320966365016100733301084358369661719544634312356493155879896347205) }}, 
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+      {{ SC_(37.0), SC_(35.0), SC_(226989024014514715184435975122876165449017.4354380189351676839148067141921226508640903916939172052318), SC_(0.6101964945804424491761955895760276454618789066404902936457902256016569955365846250467251759013351627), SC_(145004302775386502283563473027959034550982.5645619810648323160851932866996132430867287925061002027896), SC_(0.3898035054195575508238044104239723545381210933595097063542097743983430044634153749532748240986648373) }}, 
+      {{ SC_(37.0), SC_(37.0), SC_(177863034503958843994685514205494501614349.5019963234044377047596609195056110031786919237288259549572), SC_(0.4781350139767814391926669215604954535637725270056258313717131858978224542335868299177336178494837268), SC_(194130292285942373473313933945340698385650.4980036765955622952403390813861248907721272604711914530642), SC_(0.5218649860232185608073330784395045464362274729943741686282868141021775457664131700822663821505162732) }}, 
+      {{ SC_(37.0), SC_(39.0), SC_(131256580134582475503504585688775961443809.3151145960527074790695530203993802515906461401417853004337), SC_(0.3528465988012605299562448021483701523550172331761938728513557987821171322564921159639473486646029879), SC_(240736746655318741964494862462059238556190.6848854039472925209304469804923556423601730440582321075878), SC_(0.6471534011987394700437551978516298476449827668238061271486442012178828677435078840360526513353970121) }}, 
+      {{ SC_(37.0), SC_(74.0), SC_(271778651018441097347065883466473848.2746511977815237362658432276453536467157425861343116997640371484), SC_(0.730600877611816548123508890538883154677474348252631497380790705322862094368509049491763524535733931e-6), SC_(371993055011250199026902101084951733526151.7253488022184762637341567732463822472350765980657057082574), SC_(0.9999992693991223881834518764911094611168453225256517473685026192092946771379056314909505082364754643) }}, 
+      {{ SC_(37.0), SC_(3700.0), SC_(0.3714703196437381532843643639864485147019841838742418471961281810239780186658714011436027292802695334e-1478), SC_(0.9985940415902717138423033467831033580547327587141446387368733042084326864839438382850644573580819965e-1520), SC_(371993326789901217467999448150835200000000.0000000000000000000000000008917358939508191842000174080214), SC_(1.0) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/igamma_inva_data.ipp b/src/boost/libs/math/test/igamma_inva_data.ipp
new file mode 100644
index 000000000..53e1b6076
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_inva_data.ipp
@@ -0,0 +1,443 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 435> igamma_inva_data = { {
+      {{ SC_(0.11342023313045501708984375), SC_(0.097540400922298431396484375), SC_(1.035869900800721563193351335409353423054156223778352824799732510014114331303190861923913851617789576), SC_(0.05862165929221091309602935851268320728966552926925608108837955463403857541085640683871851098187935567) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.12698681652545928955078125), SC_(0.93513162632210132756150227031041961003749580131891848591112697892138664595709032559736553036690404), SC_(0.07702073629515159209895492482246819546302457039495283952439305125976814739590655422243170396591695024) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.135477006435394287109375), SC_(0.9100380607375349140135424653157145054283763683426464165277887838730942363760587929004439481331867906), SC_(0.08239454114833290164904666725589763295213501324448854257672874472236795673343348101283994380015493955) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.188381969928741455078125), SC_(0.779595202624673387363485521164023245809684162801375448392802218438362825559076033610794317185133861), SC_(0.1166391941338030559840976122781824609204768300357456413264936214065498992433137767918843993082512688) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.22103404998779296875), SC_(0.7145928353898281531229899766663421465043332388718242321020543488710755276457340056824233507290026167), SC_(0.1384900078344770795221486812547034082011104407568501332022902743558707268824034463784809050893959221) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.278498232364654541015625), SC_(0.6182586795562308310975349170899684675397900921120847475062459321020936519806102953807288680346855742), SC_(0.1784721480822330050905288284953586748392689370078276538971887861788093058242214704511862158537019216) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.308167040348052978515625), SC_(0.5750762878067446972629162563822329468974137308881623861798146424843915189358227607746127802679658861), SC_(0.1999745971366197606214810194646538480932240109343778328885211338343706229230203595508410364650077464) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.546881496906280517578125), SC_(0.3158581972518262198680262971873178145282238457421313069361242252141961771513906035921435181902024621), SC_(0.40399522554055015965171997281891601803562228187095717362147123937459020167864162427846789506528334) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.54722058773040771484375), SC_(0.3155616219617029735803748550238394725944210138946535670470388364147063820887200160768983610508607508), SC_(0.4043391538070912752469413697358973847567093976055568141867354582154449982775159287792880341381161789) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.6323592662811279296875), SC_(0.2451306925552628674700116671932204741230337234325446757090933316372456823776133088401164345457104668), SC_(0.4981721948503688022008818739022596218839268441108020243647633715157177066183221315388893154605681197) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.814723670482635498046875), SC_(0.1145907253421634340428550841021180213245634728137200905215078642375729374894281996476238899008128165), SC_(0.7862852295173094376574861816166162829803656701458377721112754273299144168379358322286031004477952406) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.835008561611175537109375), SC_(0.101331527591007847744573524795847576083929747580314104040226733069549334001280984610814567479857817), SC_(0.8326058923439134249687721563121076618130208457176003407255229510096659223637127918548740068611902389) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.905791938304901123046875), SC_(0.05656193657838154866774148682961754372226868790952633895057593923638262083267913677844800561062284631), SC_(1.04896840759462485702081614165933409290459738742990942007871315448214243965980816410908535790073786) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.9133758544921875), SC_(0.05189064964852823459637928419581919698509481017420310002496395476818562158762986899770261198573844241), SC_(1.080435768098731745020005560573961257374011084999542196321375433066538881295544756909074244422125722) }}, 
+      {{ SC_(0.11342023313045501708984375), SC_(0.968867778778076171875), SC_(0.01835818396061160048337643098614074549706602146731102647725732066970461614194476008520575667903820769), SC_(1.448797407656090219493165071703219939123058592597047518890784499076538070587802667567859080671028321) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.097540400922298431396484375), SC_(1.124578830537963702051998473796288168586685310061027732355203576629632283960817297660062046074915143), SC_(0.0659284721147043282303849180640934562566897224895804233539249128398260667430925608435729540214754515) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.12698681652545928955078125), SC_(1.017033751189331824504325403924341720905739138565526684761461549984097760120918333327463981882765665), SC_(0.08649278031454385525728666007963182163925805103763420954040262025741180677454847460411841098791601186) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.135477006435394287109375), SC_(0.9902142921858343274435115921427109074354611809918110403382037220186217516256053009853608288056704689), SC_(0.09248877472325344088393739866931009589190859884078310814802341635680304235539767062268472977333731618) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.188381969928741455078125), SC_(0.8505785998195794526287491308010932266793339719426224792262622633066161829593612618292878964211114605), SC_(0.1305982554060110903644352571539294106230392294124679024676030185902887691963181187121592257303657878) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.22103404998779296875), SC_(0.7808395661964723025065274478432724703812506573362937686319290770429457825258588979051496462804184209), SC_(0.1548317951205897711220384965795747080251080507849479059158897171375778172596890940331713045635641511) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.278498232364654541015625), SC_(0.6772609184694136395829214678207043149699253868567694609654501808726365693498576674966232500529840506), SC_(0.1990250470315257234650602086315659437473047214824637904232710507788991505540315624327049715768915247) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.308167040348052978515625), SC_(0.630732340145806754814474818656317258739611054139979482135367574881529997048038535582075675545383329), SC_(0.2227203252084107833339010674280717585720589607238234483333954941372899120632213762241351353111801409) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.546881496906280517578125), SC_(0.349708717751391355159479214660277171464283691195026088708202769671562811924679353305737371727474314), SC_(0.4456482378008532807988050947059477473750827663770176898902670239364470277606341238138830195865284648) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.54722058773040771484375), SC_(0.34938505235700051109422458264248273843369824263538926665971457103150418551006634428413713838463443), SC_(0.4460217175733750342583186470185268231571709276780851712061443842332352649527336346223436093968900516) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.6323592662811279296875), SC_(0.2723365665725819880697084193348315672163942836223061717484924369936181601343161297604977832581277765), SC_(0.5476941234441064195196321208511198969055308360244560161002793861902290381370045763117008954093133652) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.814723670482635498046875), SC_(0.1283232223230380098811206610224084691036303771630733595757042570301959629906377767938930312924094034), SC_(0.8577498466883962411368177728739427398074845373836199107327704588709507726781916595107240718092847017) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.835008561611175537109375), SC_(0.1135836623459303051429194205019356086721666257185933943800095114966831710249674856235457280143561524), SC_(0.9073723077768857915584037443594473495284668640552456222581651191944986071977435720707982921349172822) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.905791938304901123046875), SC_(0.06362286490652974750551515900848775590349209643142950504238254147486041451220153135727937086746593346), SC_(1.138548958417806819877672656752528834516707875999494557854245128596101999842871365821587081467468729) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.9133758544921875), SC_(0.05839122910435104787959801317712985297073242431714212769707923902518190300188050313568727292734281841), SC_(1.172098433700713966567441591625443115999983390102098023915355276771621952667238157429389664117756093) }}, 
+      {{ SC_(0.1419346332550048828125), SC_(0.968867778778076171875), SC_(0.02071934836253989804136051808125936032827483325843529223729374263952186251046878164288294079384678798), SC_(1.56377644811475640972171606288309488019030758199907780303791244112105872633625554623267734499110393) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.097540400922298431396484375), SC_(1.906240501146735627405728538719050272742196757761857063398095587230594456801036092842821773110568176), SC_(0.1557234989288209275828472080090140421199447184166737519995512435500240874319270398254513654236859738) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.12698681652545928955078125), SC_(1.746889660226439769707796999615493342006338076754771883758583845080036360375775016213480275141899151), SC_(0.2002596077596651342317325888043366373380954823329671027872122725030008232437680807213017399722523492) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.135477006435394287109375), SC_(1.706868853024925966866869647473148895344239016501717692391243187680702442620890834745165798505101534), SC_(0.2129795974646839776665682777757533210339641002049819348270911731567455898031637831725545721717175334) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.188381969928741455078125), SC_(1.496402036110226178753807596303443024792020848888375194926104618332228203462037726328030969815045359), SC_(0.2914634957363814616459251957253147303530562178568750069356253062641261676124313970417703556690757765) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.22103404998779296875), SC_(1.389780170786465257163165888411919682295334234979373288233859710186808614418780585928648487393921389), SC_(0.3395697694493451480454334226071565211789536369197603012170000008453482663877818774486999446935503578) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.278498232364654541015625), SC_(1.229174720073372984084496383837881179087223547169626664699876858397174598071709432222238442958855439), SC_(0.4244425653913050008718190012967890644774095596425806319360580424994718887595717604938855299440668093) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.308167040348052978515625), SC_(1.156013053768341543768168548522257409766109807965285308966336963040232539746733111463527005418183613), SC_(0.4686807520841755502989471241669846831690356034356557943101461745637370926841250627778710220335129588) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.546881496906280517578125), SC_(0.6947721882838627949038262091975689387764567019453173647065533321382744657450460331419286643574776482), SC_(0.856829730614052242405116918767233984406720091257778872793994440946733518700749262959776269533866004) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.54722058773040771484375), SC_(0.6942147568794122696200017270629557570076703163891712593315468480078768034853161200814111932265608757), SC_(0.8574495251440085350859678096982695288723874542394079979930290904412490567933548532369594229447389463) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.6323592662811279296875), SC_(0.5589786726957033422941602375813373046879722363449824559752641350510778309452479538716704122275528471), SC_(1.023577834553390956652648263292654002446782700792026164932025970575470481406702608985240964104843903) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.814723670482635498046875), SC_(0.2868813784860015606760412218035657927796176303339322211706677987987728973745366052832491215062119951), SC_(1.507304544624902338801973568545168892096379533153391150979079395057066736786348622620184780822628809) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.835008561611175537109375), SC_(0.2568935837272709908753487794187791358163818306778911259196867303174376772887052388030733749229137646), SC_(1.582455306019404084804450153498424040275078618162624951343780339565478307193874251513518564374071041) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.905791938304901123046875), SC_(0.1506347253417586905688255904812071536482537188067419956228297520577947931339130124933846650042800913), SC_(1.926816526440767605217362474417185267071949430556007186239551941147146911512829851333833992527160027) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.9133758544921875), SC_(0.1390101729626404216517230653577629330653433220311021371773880142236168201232166173456231945275187574), SC_(1.976122143213291899358992568071855876137809030571579600545815122411388046064230680375411764664967352) }}, 
+      {{ SC_(0.476447999477386474609375), SC_(0.968867778778076171875), SC_(0.05159397411040075136949974586299580607266007906546148179746530906816283404219559283712915016000747068), SC_(2.542284263439527020342019073908337703600122253760234226452742497319688928938238882786942476219332789) }}, 
+      {{ SC_(0.91750431060791015625), SC_(0.097540400922298431396484375), SC_(2.711998557841879052132321087467458969561301949235923127317988801661751718689072320485397011128703986), SC_(0.3061726301503603217632600102982841385077346866054733051600433778645397037685762699828524837236533078) }}, 
+      {{ SC_(0.91750431060791015625), SC_(0.12698681652545928955078125), SC_(2.509481000222379121131178804027310310687727437209817740982526954619793535767106985904703722992173981), SC_(0.3822051519276465055012709548939149190375605300969726586966346488734400475030867035740034886129308152) }}, 
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+      {{ SC_(30203694.0), SC_(0.278498232364654541015625), SC_(30206922.11482883621349902576400149622677934703180000493881690157818678904256430739792356870432623573), SC_(30200466.66681496083817322221637013993723066065566124378008761476684957400999798723604743234095626697) }}, 
+      {{ SC_(30203694.0), SC_(0.308167040348052978515625), SC_(30206448.05460290491450971241953253008423903107052255039907494646751223838472473892280165946724898133), SC_(30200940.69574834130317660059010636635891931231336377577854780281206532038547042794469057516760843273) }}, 
+      {{ SC_(30203694.0), SC_(0.546881496906280517578125), SC_(30203047.00717058636669137357304329205959160149968637834771106489786699129221742385725439984711498261), SC_(30204341.66412061438892037858238817499573385966690259844837484508562445579642440156011876568390745967) }}, 
+      {{ SC_(30203694.0), SC_(0.54722058773040771484375), SC_(30203042.30316911510841423755943355619862052255525737384753926509535075864473371673718417804236785854), SC_(30204346.36818954141196718386901594529173091315276193703386689325465835489738438729376667618975581351) }}, 
+      {{ SC_(30203694.0), SC_(0.6323592662811279296875), SC_(30201836.17980432310579115059624887819436825142777050805037400727522822838623497800967776780877762698), SC_(30205552.52496811563988534014867005476936232886423535822792563048853981792883735017378794452129469264) }}, 
+      {{ SC_(30203694.0), SC_(0.814723670482635498046875), SC_(30198773.32543295466384303637189930446471572734223223892225111721858159661322380144370334171399592945), SC_(30208615.60850382374838123766556759581715316364613287151987225419255301976073762617401758260722361711) }}, 
+      {{ SC_(30203694.0), SC_(0.835008561611175537109375), SC_(30198340.77785915372227694900099056895390988180231312503107906339171260486697177517187178707615377744), SC_(30209048.20512919326855490888268848804451625500482635894067819189284827655903055503571740161890393015) }}, 
+      {{ SC_(30203694.0), SC_(0.905791938304901123046875), SC_(30196466.12565226888150073567973527983647592469381424487408323665472782970590030369753565377529416458), SC_(30210923.11766742515441063993124028259470221758493890083864245553374244107973324231229306719090975719) }}, 
+      {{ SC_(30203694.0), SC_(0.9133758544921875), SC_(30196210.25585998280064237944520762297790392031265667224175460272447471873119884901896113469469345057), SC_(30211179.02900968308035831437060149239618022354135751179509266594271502924955014841375878474172002289) }}, 
+      {{ SC_(30203694.0), SC_(0.968867778778076171875), SC_(30193448.52065679169569881618335847186614165117290739943799101539336869203467308211264064437967727749), SC_(30213941.30468216779982532499490538896952642738252393109170337539122327630305298668623088994994675055) }}
+   } };
+
diff --git a/src/boost/libs/math/test/igamma_med_data.ipp b/src/boost/libs/math/test/igamma_med_data.ipp
new file mode 100644
index 000000000..1dd014e06
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_med_data.ipp
@@ -0,0 +1,710 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 700> igamma_med_data = { {
+      {{ SC_(0.9759566783905029296875), SC_(0.009759566746652126312255859375), SC_(1.003339192007827076679495082852814844336347745360235976200689788561799007730110137330271807878843422), SC_(0.9890348932311204142405476428315735322132825375129739181325170152149560168983641202727073881868421137), SC_(0.01112369385656880593053787042266942213006008594885039559843996330162391632861423778173725952365124566), SC_(0.01096510676887958575945235716842646778671746248702608186748298478504398310163587972729261181315788632) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(0.48797833919525146484375), SC_(0.6107075742899761923771199703161020169732161418698525715736270035568544567698769445946517198087313906), SC_(0.60200090392622800556746880021527940973985765617427715855663599678855269649431562996389062378697249), SC_(0.4037553115744196902329129829593822494931916894392338002255027483065684672888474305173573475937632775), SC_(0.39799909607377199443253119978472059026014234382572284144336400321144730350568437003610937621302751) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(0.8783609867095947265625), SC_(0.4103188243195825736649265764483608742565650301514019080978258727846258380934756822777647401521337079), SC_(0.4044690348331089562847173039266064850324957624072768224521011340506874965505832795400716939018472498), SC_(0.6041440615448133089451063768271233922098428011576844637013038790787970859652486928342443272503609601), SC_(0.5955309651668910437152826960733935149675042375927231775478988659493125034494167204599283060981527502) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(0.9759566783905029296875), SC_(0.3716156455565117999679764359314206771522167659503088545148165288456984447337491300360711644068227913), SC_(0.3663176354055262891120913532650947355579995910412343114483952548046833846145392929954730440121592797), SC_(0.6428472403078840826420565173440635893141910653587775172843132230177244793249752450759379029956718767), SC_(0.6336823645944737108879086467349052644420004089587656885516047451953166153854607070045269559878407203) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(1.0735523700714111328125), SC_(0.3365957734341682416974116339033939077306129158759127039900907555371173447101305942124236590906355356), SC_(0.331797030846884313930450730877113627495191936019305203409885944607670085443529202208539000516429768), SC_(0.6778671124302276409126213193720903587357949154331736678090389963263055793485937808995854083118591324), SC_(0.668202969153115686069549269122886372504808063980694796590114055392329914556470797791460999483570232) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(1.951913356781005859375), SC_(0.1385088659605976262491193813236600847409759615506046462442726458845512900567187865481680178692283672), SC_(0.1365341875889111868905471971345765310104098007339706625166294395122010561441478434485743781967094833), SC_(0.8759540199037982563609135719518241817254318697584817255548571059788716340020055885638410495332663008), SC_(0.8634658124110888131094528028654234689895901992660293374833705604877989438558521565514256218032905167) }}, 
+      {{ SC_(0.9759566783905029296875), SC_(100.0), SC_(0.3329367866516218882556933190525174260789494242751242200806022302568879706613898466339952656223149765e-43), SC_(0.3281902091153740166486606492940994602463196281189732879787170311504671582868285770684776274764428056e-43), SC_(1.014462885864395882610032953275484266466407798015407706636940926294091018806981767406982208969380557), SC_(0.9999999999999999999999999999999999999999999671809790884625983351339350705900539753680371881026712021) }}, 
+      {{ SC_(3.6673679351806640625), SC_(0.03667367994785308837890625), SC_(4.015456203482594363703108922457754241931144753022213644581757557362565251633751067204031319947614119), SC_(0.9999996416031942390887720081336876066391718689312749653540593938756701333363441103622007068271772676), SC_(0.1439127192779586379672567684497393093482122996236962325320321035788002657163475408231449064922934748e-5), SC_(0.3583968057609112279918663123933608281310687250346459406061243298666636558896377992931728227323669815e-6) }}, 
+      {{ SC_(3.6673679351806640625), SC_(1.83368396759033203125), SC_(3.385019930725903437101102788992704693233898009050769147408163022452742444496498683915469724406386969), SC_(0.8429972949548684405745767660490086691148623810631514321669785188982553992208514843501333648638513432), SC_(0.6304377118838837061883858060327340460903402260944407341359198552308585951399095467639698269902920728), SC_(0.1570027050451315594254232339509913308851376189368485678330214811017446007791485156498666351361486568) }}, 
+      {{ SC_(3.6673679351806640625), SC_(3.300631046295166015625), SC_(2.042636694164828921905502083385700066735693044660836778705857972635214071130121556552436672447216837), SC_(0.5086933734500178903640699120946947210401396612791668913147219471061294630383430188409151403350782137), SC_(1.972820948444958221383986511639738672588545190484373102838224905048386968506286674127002878949462205), SC_(0.4913066265499821096359300879053052789598603387208331086852780528938705369616569811590848596649217863) }}, 
+      {{ SC_(3.6673679351806640625), SC_(3.6673679351806640625), SC_(1.728735745904876644611421612335214154871948437794169498245863240719631120462386158739239016328353788), SC_(0.4305202295151868380055049423689706093538316338471304831830580882615064594948400767660055044416881203), SC_(2.286721896704910498678066982690224584452289797351040383298219636963969919174022071940200535068325254), SC_(0.5694797704848131619944950576310293906461683661528695168169419117384935405051599232339944955583118797) }}, 
+      {{ SC_(3.6673679351806640625), SC_(4.034104824066162109375), SC_(1.444516814327011000070882393866730351220066002187575174421871857951121331631687572841352290352819824), SC_(0.3597390242642850341727041436017742040531479500883038068894793884921274228917627066755248387784064007), SC_(2.570940828282776143218606201158708388104172232957634707122211019732479708004720657838087261043859218), SC_(0.6402609757357149658272958563982257959468520499116961931105206115078725771082372933244751612215935993) }}, 
+      {{ SC_(3.6673679351806640625), SC_(7.334735870361328125), SC_(0.1928842173031202025225624838692485746218833743579218885223983296392167688850553059225165015834992419), SC_(0.04803542571495237241980779345714029329653710992944984439518803096715759866423134446016679398725604201), SC_(3.822573425306666940766926111156190164702354860787287993021684548044384270751352884171158251598726148), SC_(0.951964574285047627580192206542859706703462890070550155604811969032842401335768655539833206012743958) }}, 
+      {{ SC_(3.6673679351806640625), SC_(366.736785888671875), SC_(0.372800134674871004133305800038544316286141292939638700513746479143277577659533359615901901430435418e-152), SC_(0.9284125692646457240171069953349802726912792879264744141937156428280981577209798205498168718568776692e-153), SC_(4.015457642609787143289488595025438739324238235145209881544082877683601039636408230679439551396679042), SC_(1.0) }}, 
+      {{ SC_(3.927384853363037109375), SC_(0.0392738468945026397705078125), SC_(5.481066062312759609088467038496268309673263041819793219043840830040297205342994832270601061056033285), SC_(0.9999998644970030817287440986146656923084586349422512633027737770225692386615800459657372422641664819), SC_(0.7427009783886154185672763382162962257956018203370314581397997422675096103629829713614292219536073734e-6), SC_(0.1355029969182712559013853343076915413650577487366972262229774307613384199540342627577358335181356689e-6) }}, 
+      {{ SC_(3.927384853363037109375), SC_(1.9636924266815185546875), SC_(4.681812913714047542283856210321072659033064415174669810637868258672116849915694109286206104312772615), SC_(0.8541791370671521729901850166624917295981362963337091768339429521680602021206356329487839388666490246), SC_(0.7992538912996904554200293954515338669364244222469437454374307111679226229369110859673663181724826232), SC_(0.1458208629328478270098149833375082704018637036662908231660570478319397978793643670512160611333509754) }}, 
+      {{ SC_(3.927384853363037109375), SC_(3.5346462726593017578125), SC_(2.816382129373238431622360210900121113984870409677894964310059270076658015588413570675787110723304341), SC_(0.5138383146136784446720548677781035602174821016872781850577578962283277420194842365544178296035766061), SC_(2.664684675640499566081525394872485411984618427743718591765239699763381457264191624577785311761950897), SC_(0.4861616853863215553279451322218964397825178983127218149422421037716722579805157634455821703964233939) }}, 
+      {{ SC_(3.927384853363037109375), SC_(3.927384853363037109375), SC_(2.372524524117176265960547286995208847829504338216474626443140132870682887519485551770239936222341945), SC_(0.4328581658495639630270840755675107928235764222751457590954583968179864712767674894422404906165588576), SC_(3.108542280896561731743338318777397678139984499205138929632158836969356585333119643483332486262913293), SC_(0.5671418341504360369729159244324892071764235777248542409045416031820135287232325105577595093834411424) }}, 
+      {{ SC_(3.927384853363037109375), SC_(4.320123195648193359375), SC_(1.970611625388247978708850134084306947654318148394020488479689347566403177940610018095263177207347023), SC_(0.3595306708514582221331302218158069672828911270152191991137293925439419946034877363340407656533313991), SC_(3.510455179625490018995035471688299578315170689027593067595609622273636294911995177158309245277908216), SC_(0.6404693291485417778668697781841930327171088729847808008862706074560580053965122636659592343466686009) }}, 
+      {{ SC_(3.927384853363037109375), SC_(7.85476970672607421875), SC_(0.238706275514383026709028032263691077278567144774320344670291470842396455092581594240259417847732045), SC_(0.04355106113576820787009967250010306075903743361159344036127233964378152216248958038694036508132089635), SC_(5.242360529499354970994857573508915448690921692647293211405007498997643017760023507401906976198864705), SC_(0.9564489388642317921299003274998969392409625663884065596387276603562184778375104196130596349186791037) }}, 
+      {{ SC_(3.927384853363037109375), SC_(392.738494873046875), SC_(0.1078993903281671896766902458293491839848722367396818902919765955362752479299554076754789326345029705e-162), SC_(0.1968583747774567503864275752806505701451497730718605463389743484952827957146229484595624495962975282e-163), SC_(5.481066805013737997703885605772606525969488837421613556075298969840039472852605195253572422485255239), SC_(1.0) }}, 
+      {{ SC_(4.0533123016357421875), SC_(0.0405331216752529144287109375), SC_(6.41813285759464991786370353876022753573157877461535817238850166391366463955791959530384794100190872), SC_(0.9999999153376853984885845524839724176593964442100629723951601696835883369687013798502558587978588299), SC_(0.5433740291472787177259642030841127451712424954512787213858894935800380943446964607803762001476194369e-6), SC_(0.8466231460151141544751602758234060355578993702760483983031641166303129862014974414120214117007469975e-7) }}, 
+      {{ SC_(4.0533123016357421875), SC_(2.02665615081787109375), SC_(5.514707456930929301459079955313869438197604073116501578585214366340025188854030716468633857798384298), SC_(0.8592385219195666661138078362450122638220024524868804909958062167776733168925557829786689630134192895), SC_(0.9034259440377497636833413094105611816467198727413520450820086834631330307419832235316748635797245696), SC_(0.1407614780804333338861921637549877361779975475131195090041937832223266831074442170213310369865807105) }}, 
+      {{ SC_(4.0533123016357421875), SC_(3.647981166839599609375), SC_(3.31312004338382642184449230231977509243273512126776674881440136854727850356190389201660465913190857), SC_(0.516212399524725097994684175184876436874372793206907921261581372871952489632052496592045138421516394), SC_(3.105013357584852643297928962404655527411588824590086874852821681255879716034110047983704062246200297), SC_(0.483787600475274902005315824815123563125627206793092078738418627128047510367947503407954861578483606) }}, 
+      {{ SC_(4.0533123016357421875), SC_(4.0533123016357421875), SC_(2.784885343934578513149804339717137368299390408067016796848041900953216841366437030241554499406837817), SC_(0.4339089217924731861183993826512701012093309775829357321262802724234704087971362274687905192149369188), SC_(3.633248057034100551992616925007293251544933537790836826819181148849941378229576909758754221971271051), SC_(0.5660910782075268138816006173487298987906690224170642678737197275765295912028637725312094807850630812) }}, 
+      {{ SC_(4.0533123016357421875), SC_(4.458643436431884765625), SC_(2.306553712479142633820833960152698687620756933527776352577981760649736926199934255571033388056820818), SC_(0.3593807682668325353265411226551952864628632629455109728805051026664326234974500588222530217351917741), SC_(4.11157968848953643132158730457173193222356701233007727108924128915342129339607968442927533332128805), SC_(0.6406192317331674646734588773448047135371367370544890271194948973335673765025499411777469782648082259) }}, 
+      {{ SC_(4.0533123016357421875), SC_(8.106624603271484375), SC_(0.2666208775089865235658723894506298859889618919139046778832877954885433336210504108700118485172825721), SC_(0.04154180987711253275131159150161436117019650310762690095170282803753763611183019192983825306101724165), SC_(6.151512523459692541576548875273800733855362053943948945783935254314614885974963388715345260029002709), SC_(0.9584581901228874672486884084983856388298034968923730990482971719624623638881698080701617469389827584) }}, 
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+      {{ SC_(99.6479034423828125), SC_(101.6479034423828125), SC_(0.7544659013596046014875316445704815685260451593376435295742314736115164671432240751181442400434537482e155), SC_(0.4081242144094947811955420069383153567301560395689175929907159931951304506349246950413365552505599538), SC_(0.1094152422968990724769008459186452180108787752826193570140333168743414148723089242062625933366172518e156), SC_(0.5918757855905052188044579930616846432698439604310824070092840068048695493650753049586634447494400462) }}, 
+      {{ SC_(99.6479034423828125), SC_(199.295806884765625), SC_(0.3804006384186390812353329092798841093741132631690706197243637647942568433128668478754826060017677696e141), SC_(0.2057756506101917034700047476092601152101401495116289370474041581162582830156798739943260060771748412e-14), SC_(0.1848618324328591522250155917366121395305740113322743358581932951648733372228665374612337044741147512e156), SC_(0.9999999999999979422434938980829652999525239073988478985985048837106295259584188374171698432012600567) }}, 
+      {{ SC_(99.6479034423828125), SC_(9964.7900390625), SC_(0.6187187441149196707967788811980241646983120637234991013972314808151116439559127711068191156963192852e-3933), SC_(0.3346925300762848381679977351230198692364721942446516591127645420968259313810798749854292537402422257e-4088), SC_(0.1848618324328595326256540103756933748634832912163837099714564642354930615866313317180770173409626267e156), SC_(1.0) }}
+   } };
+
+
+
diff --git a/src/boost/libs/math/test/igamma_small_data.ipp b/src/boost/libs/math/test/igamma_small_data.ipp
new file mode 100644
index 000000000..ae213ceba
--- /dev/null
+++ b/src/boost/libs/math/test/igamma_small_data.ipp
@@ -0,0 +1,261 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 252> igamma_small_data = { {
+      {{ SC_(0.165048161769598689119220580323599278926849365234375e-11), SC_(0.165048164480104120332981665342231281101703643798828125e-13), SC_(31.15790848492937617968754572910879626038987427321665501824062445965678033809696860327421033588997389), SC_(0.5142555520027874508595595722328287870710653491133268223717400674935981376413784737279829921742056631e-10), SC_(605883754914.8750136902267543620760601500284208480879474455026885251060577270869941538181411625849707), SC_(0.9999999999485744447997212549140440427767171212928934650886673177628259932506401862358621522444918976) }}, 
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+      {{ SC_(0.00196246779523789882659912109375), SC_(0.0039249355904757976531982421875), SC_(4.938987082914699838457983226719965217476612853363045113042016127451297846013281495884499568865883318), SC_(0.009703558067449986097531968416312103910922126732481402762324146425017417699686163534289754729460729665), SC_(504.0482368388177885040382376886022598332133515944345676848431450556494667385693259819865202193630219), SC_(0.9902964419325500139024680315836878960890778732675185972376758535749825823003138364656249915899590869) }}, 
+      {{ SC_(0.00196246779523789882659912109375), SC_(100.0), SC_(0.371711069233994618089251980379787404703200868503681252205878708328579900643829653098280882608666812e-45), SC_(0.7302954804444227624038715794279959610192586730525009887130851252337543775699440571494118134245598624e-48), SC_(508.9872239217324883424962209153222250506899644474259017286511665650115126042028200775715570287875006), SC_(0.999999999999999999999999999999999999999999999999269704519555577237596128420572004038980741326947499) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.5553754817810840904712677001953125e-4), SC_(8.964916995922265562670509435276988555999266212543889148630586594457109756662300790199875201890414176), SC_(0.04994755397027048426834023531853787482994000264191186425566638484033048318774106778174252966339825561), SC_(170.521690121181316177902329265915998355956795018230725850859227674038580240062721109869774095721396), SC_(0.9500524460297295157316597646814621251700599973580881357443336151596695168122589322178155624007872869) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.0027768774889409542083740234375), SC_(5.222169637141671636404804427422403643545438726610446085568828215923685407329063311433402344362745274), SC_(0.02909503790293689426695312636806957821114009596057981217975996295813570004816536813932743724112559258), SC_(174.2644374799619101041680342737705832684106225041641689139209860525720045893959585886362469532490649), SC_(0.9709049620970631057330468736319304217888599040394201878202400370418642999518346318604135760837493635) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.004998379386961460113525390625), SC_(4.654508257117303320411512555062309276826075249498977524731665069947789435192356659973016340215335662), SC_(0.02593234298579466195965215749908092357421845490729802493578101747721091498484013447327969090018933084), SC_(174.8320988599862784201613261461306776351299859812756374747581491985479005615326652400966329573964745), SC_(0.9740676570142053380403478425009190764257815450927019750642189825227890850151598655264890660379528003) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.005553754977881908416748046875), SC_(4.552711102485910264547873147973210224670389064059533400410882648423784089166455372965055776226103584), SC_(0.02536518560137223040331237053691364143746751771600885263808132832279168674495735497543463321073851608), SC_(174.9338960146176714760249655532197766872856721667150815990789316200719059075585665271045935213857066), SC_(0.9746348143986277695966876294630863585625324822839911473619186716772083132550426450243390989132964284) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.006109130568802356719970703125), SC_(4.460624247688622547953655889386147254858073264917443243978430055334332005853002076023509767191650769), SC_(0.02485212863140451070724595723004764521959822842170598463337027497439070096530401467959144797904202474), SC_(175.0259828694149591926191828118068396570979879658571717555113842131613579908720198240461395304201594), SC_(0.9751478713685954892927540427699523547804017715782940153666297250256092990346959853201867847542934446) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(0.01110750995576381683349609375), SC_(3.883357360216657997244393968550088480113409837493760013294217647121382192929527127834473880298138601), SC_(0.02163591714496566646516776444203604062813292121063084740422116343165497104858943114627344800197163485), SC_(175.6032497568869237433284447326428984318426513932808549861955966213743078037954947722351754173136716), SC_(0.9783640828550343335348322355579639593718670787893691525957788365683450289514105688535329977996498619) }}, 
+      {{ SC_(0.005553754977881908416748046875), SC_(100.0), SC_(0.3779230356323651469251400251436801657115323311828038629573248866991682540425440079590315860323569243e-45), SC_(0.2105577913040578184612113756477261211410811213425891696964581142045415939710425561995401419156912192e-47), SC_(179.4866071171035817405728387011929869119560612303966919638574491215705499715813417359332742369180329), SC_(0.9999999999999999999999999999999999999999999999978944220869594218153878862435227387885891887865741083) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.869112918735481798648834228515625e-4), SC_(8.412150535244441203168046070317310253724567623691078331486778211100219408535590313077554856570699598), SC_(0.0734742369214086089210153054947260329971557695201341707775521940117156621771297470370953689874816908), SC_(106.0790083759050634625337598716446870920526426681515083014260468453871574230843464967785306090985135), SC_(0.9265257630785913910789846945052739670028442304798658292224478059882843378228702529622462611547659734) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.0043455646373331546783447265625), SC_(4.747483533337902183946818699971831287857052577276252258033190690531537548113688962993636655174478423), SC_(0.04146594006461382313537482617248709417766142416202542486142474476114080262861893941422971907404955593), SC_(109.7436753778116024817549872419901660579201577145663343748796343659558392835062478468624488104947346), SC_(0.9585340599353861768646251738275129058223385758379745751385752552388591973713810605853961293779614401) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.00782201625406742095947265625), SC_(4.188714405951040634652072336322477039569342050275559543021997361729942472593051923062465693734697627), SC_(0.03658548350621272832275084129392436578573561492653168803027125335941528070349701044338510087997499593), SC_(110.3024445051984640310497336056395203062078682415670270898908276947574343590268848867936197719345154), SC_(0.9634145164937872716772491587060756342142643850734683119697287466405847192965029895562840836832982795) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.008691129274666309356689453125), SC_(4.08848737420065935929134320387738037551705209754263277179328266373220927403385787131830593805064886), SC_(0.03571007065596669193904108016015709813865155263375873910595316749759359782915444208415216634230658664), SC_(110.4026715369488453064104627380846169702601581942999538611195423927551675575860789385377795276185642), SC_(0.9642899293440333080609589198398429018613484473662412608940468325024064021708455579155247914668146388) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.00956024229526519775390625), SC_(3.99782079814824918307908619479527349158197798771392975095659098640536858272574657135383729506757053), SC_(0.03491816168312825922906539505187828450927190406957704260083957374549678225908496848420561100299384268), SC_(110.4933381130012554826227197471667238541952323041286568819562340700820082488941902385022481706016425), SC_(0.9650818383168717407709346049481217154907280959304229573991604262545032177409150315154783785776319255) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(0.01738225854933261871337890625), SC_(3.429652593561693644638834896451401252091493865356407433916434404687048079702486661999920641307007191), SC_(0.02995561077535484202820021234487128647994519436125259940646933255344394936860990914312183685175046186), SC_(111.0615063175878110210629710455105960936857164264861791989963906518003287519174501478561648243622059), SC_(0.9700443892246451579717997876551287135200548056387474005935306674465560506313900908566062177985487162) }}, 
+      {{ SC_(0.008691129274666309356689453125), SC_(100.0), SC_(0.3834347555474465586395291403125251405405389593008695231904802071464782586691835903731927721307539629e-45), SC_(0.3349033752422838748916689259240733539203045003131547237515235304204672805448804838430882271615821179e-47), SC_(114.4911589111495046657018059419619973457772102914591518773653784978478476913074116703328547030652432), SC_(0.9999999999999999999999999999999999999999999999966509662475771612510833107407592664607969549968684528) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.00029933368205092847347259521484375), SC_(6.65558792122502145790203122705781927392537710568382982650902879917995730340091807239175568813213068), SC_(0.2025490756976798423479118675089777352736957583605687315155725757125233270513154513279880668403039601), SC_(26.20354954113990720677295171562168818585244384318224849305166810303853836693243368037159645376977416), SC_(0.7974509243023201576520881324910222647263042416394312684844274242874766729486845486700376252368081425) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.01496668346226215362548828125), SC_(3.412781457563949627493849132800205293732370924443084983071137019169168281694119440771156646106558311), SC_(0.1038609568334763548457972777288529241469923900253962807775257423932593724995787612069914513230733471), SC_(29.44635600480097903718113380987930216604545002442299333648955988304932738863923231199219549579534653), SC_(0.8961390431665236451542027222711470758530076099746037192224742576067406275004212387919853803026229454) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.02694003097712993621826171875), SC_(2.900428060083442521700414212209539293181960970813005023783465175158447954051342500859962243168594771), SC_(0.08826853910591643763067442789157912471708232570630547469480133709625147782109251555169415725060617567), SC_(29.95870940228148614297456873046996816659585997805307329577723172706004771628200925190338989873331007), SC_(0.9117314608940835623693255721084208752829176742936945253051986629037485221789074844474329514837168865) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.0299333669245243072509765625), SC_(2.80837448661732195170761906499999493821123607368254428592631444869917451230049026839722143354330746), SC_(0.08546707867283131075432095045307988463257577828543753893332063453617336634663328499785869123628549113), SC_(30.05076297574760671296736387767951252156658487518353403363438245351932115803286148436613070835859738), SC_(0.9145329213271686892456790495469201153674242217145624610666793654638266336533667150012954175041413206) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.0329267047345638275146484375), SC_(2.725101221535109535021413719100843696433626664532974402284107300109171958371467977939595309468299124), SC_(0.08293282879553038976697110966809591185042939605421337827594738688004093044577294705637033103753406651), SC_(30.13403624082981912965356922357866376334419428433310391727658960210932371196188377482375683243360572), SC_(0.9170671712044696102330288903319040881495706039457866217240526131199590695542270529428082023784467733) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(0.059866733849048614501953125), SC_(2.204476228650003963881192397589198776933448409172425381454446680594408859247730852369919972696722456), SC_(0.06708868214130365722661165568506456062512493800386324405219217526484257111958289695748025178580326486), SC_(30.65466123371492470079379054509030868284437253969365293810625022162408681108562090039343216920518239), SC_(0.9329113178586963427733883443149354393748750619961367559478078247351574288804171030418509848600074949) }}, 
+      {{ SC_(0.0299333669245243072509765625), SC_(100.0), SC_(0.4229279999195938340595688371433305871889682449285871973650802503052523480463068726888829167170666972e-45), SC_(0.1287094040140258076521551344643561104581741100997942473491238945795244936062181105143232448905621274e-46), SC_(32.85913746236492866467498294267950745977782094844315031964110306815892683319002116589180337092808888), SC_(0.9999999999999999999999999999999999999999999999871290595985974192347844865535643889541825889900205753) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.00051242602057754993438720703125), SC_(5.750398977913244900274962421353297368031325639433868586950794911944578215691256892664192413362591034), SC_(0.3028722400658670309060582521260906731221817754690304799285207885428553696560930593067285904368322388), SC_(13.23582100930869053226053270179389011404206015970023183245494980462996606312399917775634092248377199), SC_(0.6971277599341329690939417478739093268778182245309695200714792114571446303439069406900635548967258876) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.025621302425861358642578125), SC_(2.832141251899738927184198830918552560705390731127443324742929027769956627452021708549562866974237375), SC_(0.1491682522274481432092518761039267269452211637367753155145843941704919377471471128043007783037985871), SC_(16.15407873532219650535129629222863492136799506800665709466281568880458765136323436187097046887212565), SC_(0.85083174777255185679074812389607327305477883626322468448541560582950806225285288719409849230013501) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.0461183451116085052490234375), SC_(2.354535041475650840188296544626824459348071689176520405240621833882890783690260790374595349243249817), SC_(0.1240128389463671496190159389825520574179898719077050768343103933526658807883438828524452225211835791), SC_(16.63168494574628459234719857852036302272531410995758001416512288269165349512499528004593798660311321), SC_(0.8759871610536328503809840610174479425820101280922949231656896066473341192116561171462170724905049019) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.05124260485172271728515625), SC_(2.268581955935316913153430290814781029572894726877321715668417204937011887527880456166238463358814554), SC_(0.119485708975357549703407111440249731302572941365773848592259365032731048905891169977364697529085816), SC_(16.71763803128661851938206483233240645250049107225677870373732751163753239128737561425429487248754847), SC_(0.8805142910246424502965928885597502686974270586342261514077406349672689510941088300213449330467672867) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.0563668645918369293212890625), SC_(2.190826928493114755175474738392958609573869639135473828240129903375769251681938201165488344589073467), SC_(0.1153903689079543131568507907786239460633868239209515305709967719710419887432512190607714956691512904), SC_(16.79539305872882067736002038475422887249951615999862659116561481319877502713331786925504499125728956), SC_(0.8846096310920456868431492092213760539366131760790484694290032280289580112567487809379809556858218957) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(0.1024852097034454345703125), SC_(1.705832980948029655675174791358196762256920326164848611959849532446454449849713723349992966594024533), SC_(0.08984584514959194964111225566819986886942747214355191893796722859826575799935451129133496979377311521), SC_(17.2803870062739057768603203317889907198164654729692518074458951841280898289655423470705403692523385), SC_(0.9101541548504080503588877443318001311305725278564480810620327714017342420006454887076845744989248092) }}, 
+      {{ SC_(0.05124260485172271728515625), SC_(100.0), SC_(0.4666332762470370840214357140870669083484141793110941527015291021554978221892371620740912810024635374e-45), SC_(0.2457747126921997105292850810706506718048727997191850109419737442424277356633748861407006331354595514e-46), SC_(18.98621998722193543253549512314718748207338579866746714315870763255310856472818916227141762310922602), SC_(0.9999999999999999999999999999999999999999999999754225287307800289470714918929349328195127200280814989) }}
+   } };
+
+
diff --git a/src/boost/libs/math/test/jacobi_elliptic.ipp b/src/boost/libs/math/test/jacobi_elliptic.ipp
new file mode 100644
index 000000000..a8138804c
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_elliptic.ipp
@@ -0,0 +1,414 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 400> jacobi_elliptic = {{
+      {{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7384321813508780300050309993112921610348339609531096226291156957843807163438391463300771570266454611e-02), SC_(9.9524685071841496279438927849850673342525676921414792528840427410727111940782381944976305408868157855e-01), SC_(9.9995488439733316729114394585903874689886199946693440341361736436672692239264636048488084336908171547e-01) }},
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+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.0917470232222200804623180098129133036872476212345687946408231027401224355414186080302191412417315445e-01), SC_(5.8756812466448807626035048020623505899237385118588318521559957175811892777170782847243623726402163039e-01), SC_(8.5917067186634159636297999262881680727474209461119658335870527906879501356002165645327808755884914641e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8807119444979816800923969304385287292785209340565035630430040254664427368175755115143127657804319275e-01), SC_(6.1558410674616056493571795007635947841655775384258519636348871522168706473724532307349806008226940840e-01), SC_(7.6665429525726110361447413684552291171054174846338591438308890401356527577849589856356276150225732188e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8533974060861189062248546305583049909685081062975650698710874051826667020351572955065423608667621888e-01), SC_(6.1906501421159166628343674250361648671913040974698965825105617076167069374238270072189557585460007272e-01), SC_(7.5496484350046113300800020039074081961933680785286101512645919124096025389484980045855949751906931482e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.7518052347000925314010007943527768455040920946345973339627012081381376695222757183254277030896944957e-01), SC_(6.3173978506404235602086192410695037495356623570300207001965408561482576560706910009779017218552967902e-01), SC_(7.1202695591348996943901212719172676293237917080282599202090818283760895203386224684127468737115722039e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.7403326959640178723563496098403563126044877288657909026716436291016997542128873110698916026557616324e-01), SC_(6.3314492618823376986676740088221455887438346847232176226658849048417517890369368618344349029048271542e-01), SC_(7.0723024179015572507350410631921738029759560477969903360400060435126461530726016656465837852310688792e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6712800823285619471798123561258913583803638220534736201364708009370629428320353958750416444955694982e-01), SC_(6.4149405218185064504992339458407016741795699167416304441730489787216690117110750201301703730190120252e-01), SC_(6.7857602589593721337697403304549699145452424462317392210364305668406670401778150852638680470506706518e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6593441813020686107904272195284976164911143038148978940760933715399917785398101606027733051459971132e-01), SC_(6.4291870957652293482277601636810697919275457997668849096935959115861162055784408260876292546568984644e-01), SC_(6.7366024601538257589655742562219072544530334312218911862590121331700593411003613779831508617892420325e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6547770865632652104311857431350648982519639693036504351701283181609474922881977308885338563907679349e-01), SC_(6.4346241347126103408603307544875846579869659656475523368458255827578551435308991733382243465986469958e-01), SC_(6.7178215521760534606784911003038819524570089099102635584446923804691272196126068898352982615576142014e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6528633729797841460176785222203390514942625072618331938529597075420681577693034777030027274670865291e-01), SC_(6.4369000454026378494764961458275300252507916799112249356864558832261907901572939091058344628185994802e-01), SC_(6.7099566282750678306967995163385198199449520575839393027024329721293501791261343629006364525136879702e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6130656170513378346158650596006841065509926127276492299715158864622868192915634720105938405478654273e-01), SC_(6.4839210290125166440291833468322114687478245067783826919074500661090573579759551799996853065323027448e-01), SC_(6.5470204815482800802602415811048971704607358039770120289884409108362609917793951796905679822441221683e-01) }},
+      {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6070308834386404159049681239553434730978977615881969147142722819631969635063229458010769940901615571e-01), SC_(6.4910000106617422443762696869434170692368988825415526998433303308325407487195203453870690819261137407e-01), SC_(6.5224167903128336698276201258993391810194122946207851950380395682119994293224476046299862066823494348e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_elliptic_small.ipp b/src/boost/libs/math/test/jacobi_elliptic_small.ipp
new file mode 100644
index 000000000..1b0ca996e
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_elliptic_small.ipp
@@ -0,0 +1,1695 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 1681> jacobi_elliptic_small = {{
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914367592725655712600281923768045401283620998764707764693e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696151635920379696565170086974190992e-01), SC_(9.9999999999999999999999999999999999999999999999628966995620346223342181461431515637620350243665215080e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.0654207510961697380480472929775714874267578125000000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914356038800613310054830865914687618301634103078917338168e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696151826615763590211178195021758793e-01), SC_(9.9999999999999999999999999999999999999999999999418956903357324218784742231100976423667721244640328945e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(6.9332300317581641024844429921358823776245117187500000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914027798723391089616386590188266692256822553895004737691e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696157244157188296862020758148130289e-01), SC_(9.9999999999999999999999999999999999999999999993452696204168490870911613561919090434443527881778962629e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.3351444949627477853937307372689247131347656250000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304913052218556582079673621348947108779104417637686162896722e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696173345926391915144123663683144195e-01), SC_(9.9999999999999999999999999999999999999999999975720048632921041975214334983463922773663246301371558079e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6399812063916385795891983434557914733886718750000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304912372618758507282714946015960583626600059283156291032012e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696184562594659391558357034445701976e-01), SC_(9.9999999999999999999999999999999999999999999963367292684459290855251530901083881607676209352596350232e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(5.7301594025283009159466018900275230407714843750000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304889783532888043627371778016267672955616082803704829236507e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696557391255574683748524224459833699e-01), SC_(9.9999999999999999999999999999999999999999999552776433700754495454636367587944076648284400103707184302e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.1137313293829720350913703441619873046875000000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690304821439689287767962044790479566381944530155678406625631702e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973697685393682827041343608589118700995e-01), SC_(9.9999999999999999999999999999999999999999998310523532852882161708648652005740665368880880910156584491e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.4214707189097453010617755353450775146484375000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690304762977332560523723670737117904598123506030905571007525820e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973698650304007112032323166148527367075e-01), SC_(9.9999999999999999999999999999999999999999997247881626734957219094542687145216261006406307420236809325e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(3.8006320313144215106149204075336456298828125000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690303831976744007277642905699914309078508034857277902993981434e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973714016295563039085806793646480974079e-01), SC_(9.9999999999999999999999999999999999999999980325535429971135087765023210979692154823009643251966522036e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(6.0916272026645401638234034180641174316406250000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690302133731854710685114641012066105734375850645869948919458138e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973742045511601859311127502555051080985e-01), SC_(9.9999999999999999999999999999999999999999949457361664130189602800079536313829981986427076949318817789e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.0221641311147777742007747292518615722656250000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690297085106157246959147019549187034633366860135865373130072792e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973825372139737312017993425357327472681e-01), SC_(9.9999999999999999999999999999999999999999857690940760870814533399831245189911999724717703220387897201e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.8819222563924995483830571174621582031250000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690242677885948711088664385488861032724509329344622403207481410e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133974723353190001720047690056131101093059e-01), SC_(9.9999999999999999999999999999999999999998868757284550027385876551628249984105649518984138605236580531e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(4.7627768395841485471464693546295166015625000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690134933098417362621376030351507143097515536131758800073666674e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133976501660868597958778702500430601729980e-01), SC_(9.9999999999999999999999999999999999999996910332533889451002177040231472679603830330500099612602677035e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(8.8541334264391480246558785438537597656250000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909689717461858586327957602950267806604551468156898254148882224748e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133983391946035930262518846860865434979203e-01), SC_(9.9999999999999999999999999999999999999989322160265823321349052149682027615133455037665915804501555188e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.3050326092288742074742913246154785156250000000000000000000000000000000000000000000000000000000000000e-08), SC_(1.6504814008555523940913182524024344909686323523656956557466573268843129097061735969718419269903756412e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244134039408264810361040874003831061763988570e-01), SC_(9.9999999999999999999999999999999999999927632191511183545177421364285740672490570631107123629541620207e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(5.9392490925347374286502599716186523437500000000000000000000000000000000000000000000000000000000000000e-08), SC_(1.6504814008555523940913182524024344909663872080081406338583759571333756176566943414887198590991250826e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244134409965165248396214212813572057652287157e-01), SC_(9.9999999999999999999999999999999999999519543189770621643635884806523323694404582563651057704462697028e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.1667648891489079687744379043579101562500000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344909588293831710191198186747356949388380517396812042654193369934302e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244135657370097707716573801601901386768273769e-01), SC_(9.9999999999999999999999999999999999998145794021824142620974495770659414222168637044587970657748003597e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.3799674409019644372165203094482421875000000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344909265858679866731016390766452234122292419645132917080994605064614e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244140979102308704385651739160793286510212057e-01), SC_(9.9999999999999999999999999999999999992285046636067702713907942013032905297195860994461375719475855459e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(4.6846594159433152526617050170898437500000000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344908045794234673931872034147213497000375265822385091582975735928436e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244161116039055063020239008290949554874460617e-01), SC_(9.9999999999999999999999999999999999970108526902606423004774330258537078837146430522090471722713952519e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(9.3826997726864647120237350463867187500000000000000000000000000000000000000000000000000000000000000000e-07), SC_(1.6504814008555523940913182524024344903093459707187946270419675021577786501184313307591933565375527000e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244242853399339366916813650688688000362016475e-01), SC_(9.9999999999999999999999999999999999880092343898322941123574529398516994582299038041465074714265274086e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.1039855962735600769519805908203125000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.6504814008555523940913182524024344900557430873575286480834184767300136835270193965664311004583807788e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244284710083558477870086857644172480108004954e-01), SC_(9.9999999999999999999999999999999999833996177671340856797365910449015966708782329210939364313955500541e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(3.2917760108830407261848449707031250000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.6504814008555523940913182524024344828493076459684986213773022347093484446159289129769394585309247486e-12), SC_(9.9999999999999999999999863795557271494668646082344582907245474118849806364601873345118093854029707223e-01), SC_(9.9999999999999999999999999999999998524117356076599440004095602362538092572757468874215804799068642818e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(7.5172138167545199394226074218750000000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.6504814008555523940913182524024344486247790091707702262795314936221015531815002316170628477073465482e-12), SC_(9.9999999999999999999999863795557271494668646082344582907251122813646614652970895342707489706828991315e-01), SC_(9.9999999999999999999999999999999992303290762261561334779801430374930423054200867021151405157838736656e-01) }},
+      {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.5114666894078254699707031250000000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(1.6504814008555523940913182524024343197792581537814943695196301355019723927496347050918189746703855313e-12), SC_(9.9999999999999999999999863795557271494668646082344582907272388527222151271310577616873634865441592576e-01), SC_(9.9999999999999999999999999999999968883665290214396116379872831911234710973570091992907537181511730001e-01) }},
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+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.2917760108830407261848449707031250000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.9639439233029389748956932327129091158075264859718512367948708207416066779749862612144734336172739459e-01), SC_(-8.4842294480667845443953102163404296318391883798145226147266545577967646060269205478578768927922719434e-02), SC_(9.9999999999462110451726763223295498660227375746905159152874896311796553700194885004383959875991323374e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(7.5172138167545199394226074218750000000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.9639439233197978132686693916203190106576896483533805609341298516578495517691112332138923484292414188e-01), SC_(-8.4842294460868696775433694073450150907679394654211248232058407564229451823414329968769544117088087361e-02), SC_(9.9999999997194912839320992947154918460071662296190735712959073259087663139642400252423085776091530486e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.5114666894078254699707031250000000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439233832664977629705536669831435426827137573865519655076721199119234036829353543026053815720129e-01), SC_(-8.4842294386330588454991996610694144597747353486819290842374731164755639767707663806305724394100907510e-02), SC_(9.9999999988659564978929333754573013725483609109446164465889782429126367311703263380098309270395970454e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.9863993404433131217956542968750000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439236281443624753158687038454096577564270991214083469840809539610364509563625849219075623699280e-01), SC_(-8.4842294098744151302953238350800256832596089936119182803734993418583767146069333200039628065940693344e-02), SC_(9.9999999955728084199715672255718504172741717470542761906819535951864276950458540373205623386616537109e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.3870281185954809188842773437500000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439237223953724581982941629132748498983887981035908604585745857826395065250770878869942510011341e-01), SC_(-8.4842293988055044082583610914447143938044232971226932593724715633534115772196868151866529219226744951e-02), SC_(9.9999999943053090748253932656368900765792555269780716890189615989575800344105114676634210224581246448e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.0660119894891977310180664062500000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439263328541366719031725241577314079198743209947847909476415592779981710088614620793535022214474e-01), SC_(-8.4842290922312241463028290901886236468697679576893295365022598381737118235652753487965129582714048961e-02), SC_(9.9999999591995330997524068647525151887288634403876011421441510310561160493295521892857438617062912841e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.1949532674625515937805175781250000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639439410826067431307822604787492127597668642195114647761391647693455985378034591691491702705577906e-01), SC_(-8.4842273600087509888806940837110422629864742105524848164093163940289071489404486929406333024041952399e-02), SC_(9.9999997608429891075272698981098375011760545789757386788033103243299232149774232751941797398008621709e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.3952150736004114151000976562500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639439946057283654855935236752624035880191284049054750658244297828725656065644035418378639820004094e-01), SC_(-8.4842210742085271589035996870541465107472441820952998743617829037111050036348887366217833042583183538e-02), SC_(9.9999990410568885432730450661406780382747893720931957290008095471902273911676718477882188550504429360e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(6.3331518322229385375976562500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639440713495471434923143724675451317717484796503726041028796498492176802332554253832509916871965935e-01), SC_(-8.4842120613419993829653470484176332143015609165075405322937128639532532687627013454703366335136057687e-02), SC_(9.9999980089947286502621224734144392936772145074199619421807467791812848947570762271107897628498946539e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1151232756674289703369140625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639443823016524654104629623362614491579693467989253808727772715845343535280963682357379812867245026e-01), SC_(-8.4841755427344930663007460100028833354954911466256337396719760700291713295727386906732582556927571057e-02), SC_(9.9999938272528249391312307608807398374816383372852435374472406644589615977465186408873728224171642189e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.9624670967459678649902343750000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639453448794504753671533455904797532119598152365059838083231543209853813817276459987896643847885629e-01), SC_(-8.4840624953799622786068044598030741055063642230082296390150800205369862431346329264619378174286838014e-02), SC_(9.9999808822023431586330507223399599331299259546946802809286583619824066393501989056548364182611503082e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.5537540465593338012695312500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639553077217003511353530043413808033920247930882092573188708783469515876938649937674371540560702420e-01), SC_(-8.4828923470981032069634272050225777540758810269842969047296062581637761984301166734820582381456553004e-02), SC_(9.9998468876732348097939012173864087757227234405891503826150435694363062945422284532826470182539791518e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.6911283433437347412109375000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639718000461594989260420944042571499940208837940453162707360749418854616064045702840166901838974039e-01), SC_(-8.4809549455523940355185466702194582862099119856342307034787941990006897379697771484768623427437519652e-02), SC_(9.9996250309238530117640656410289279207641184807525627009919430951232501378233250614276839898342947194e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.9933363199234008789062500000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9642739273361037624425236003709998424423669985681772457419514437854858892669295864838396904074334791e-01), SC_(-8.4453839522542653735176696295242418341771308961936320935099661751459635173562095780038126996050284763e-02), SC_(9.9955509327307226870482882280431162855249849172060889261100838598526189994716425561466757382237089590e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.1242604851722717285156250000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9649068766424200577985721184356752955601723188930074293915835068113130632428255591007970917819025182e-01), SC_(-8.3703700028410244770061826214701529976799484885620218724844567694731485856500558608813841851268272143e-02), SC_(9.9869544539219827767678663556107790796001205357457841120474538750514167458555525624218345986227679244e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1201295256614685058593750000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9684313604934398930539235390129770939609825850290918420113575774717084081891501166979587762444196098e-01), SC_(-7.9396234868594807401272204725688142828934281134460946403103848657930854463427457876250364818746217174e-02), SC_(9.9374654270592187744997687020550454797638290050151265651320047733411371840069209832488090292039717367e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.3480379581451416015625000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9814934866490320978806688580871390672680066453416779059422743215014552518552147816785137038565167474e-01), SC_(-6.0810178094045119247364122651955570809342076623943187762098707626057061856818089052462136539473338148e-02), SC_(9.7214764923305873458032862854350162073206678556449933567459172269681798829001261625830288160524321418e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.8987305164337158203125000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9976967292952005755481095245256024937692734652402590999991494952154282866789560889911025306718779168e-01), SC_(2.1461619006973565646536174052546379410807514047370718515791347175325100002601713407336650423975813432e-02), SC_(8.7185717081396898541065289390703478456116878515433892820948672390341209634334005744800539221410270970e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(7.5183129310607910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.8539034324839560936682949899637621959818856082648192169501428326661400191997487509531927187367953439e-01), SC_(1.7031110190709553832350904690514019306839852576492774590778059270526592192267334810770243087477878657e-01), SC_(6.7167349511579774208520897966660216379314520347464078477957664271219777907511857160535742769433089892e-01) }},
+      {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.0815375315288640577475196367102453532926947422123146010409415723479279392954356853433706994064428463e-01), SC_(9.1291320167210457006284950226993895289063450955873095160130726593569036267152905012436288527918734100e-01), SC_(-7.3708797978087103688004545584461400336979146221355035197387826317949437602283858594803646637152865976e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_large_phi.ipp b/src/boost/libs/math/test/jacobi_large_phi.ipp
new file mode 100644
index 000000000..a9a716fa1
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_large_phi.ipp
@@ -0,0 +1,314 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 300> jacobi_large_phi = {{
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.1058797357690320086682997888107252211628291495151688601393407863373061954395848396257429511756176811e-01), SC_(-9.9386633915238026812869743952282655015178929533806734450981604274006648191113417152643248132020074274e-01), SC_(9.9990138922139577345821742312959843927086669798900631576940452344894647029651168866543336495621319962e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.9796027195728077189442848498661232305049387865637023002287165495702857395230146075769449539819678763e-02), SC_(-9.9980403945336507845151345500450800737097833473134761034812701539547907788852267602747381881654129683e-01), SC_(9.9999640368228571150326548705630160155372276544820513372782759452847671460675392468118278515564642670e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.4524463054363015830543554229266024611315133648646726829860103132985305860006657410579310878453671719e-01), SC_(-3.2636266396209619739852328880763978392918068940083223909131243802010656037702645968281828914985898722e-01), SC_(9.7793033147839850499560648584765033296353170435094191917820984988398156187728059208365609303718763468e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.8467092829206275416395221453254971947309775360749050985209931262282264520459122402381792953068010283e-02), SC_(9.9925986748656589242807594841179280186636858779886436718703277243900358292074844422479042190466225049e-01), SC_(9.9992973546117087872258976240789404601766963067622683679015332787486976781350082685530756477017893531e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1828487869642382837142082205368890409594444563859603885036504087100530651689815737374300479572152806e-01), SC_(-5.7481288894454945115324043802657481607935129579981996144467071525751961910351319915758240211691782206e-01), SC_(8.5571342814553735162229894739444873282853333740663537333659164564589208017713251914590680386027272809e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.0342555778181684908553725700040860110642531214149151205515131896190048290879021057059409802362096946e-01), SC_(5.9540521756445540531188114127706021212880690887199697020660799772318324844598317460087416642725615927e-01), SC_(7.5600167963587697285196939810169457229824831904454088987922148028116675585554507425145383067593756070e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-5.2923808769191278344096906576129452977508979277324972114028585485897292732749175191104387817153243622e-01), SC_(-8.4847336230208620189522999730668948980498026956351676759653713074643763505826560196595716137493813219e-01), SC_(8.9705533240946393665356057247371866574922627996248245980741140274917656623741748929349898927165638735e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-4.3588329433998778344118299461470119260462800471832395414994779852496041561445544177910644873466410470e-01), SC_(-9.0000319650283441310099684480078605946721143546738341042331933310537915309970277408204072796535470377e-01), SC_(9.1875870906845118047635806822648200063819834288643294354356983053626866318919800547192402870664676236e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.5600856122085672092800268968580894468432579079804656774052584258946328842723868281852714693291460848e-01), SC_(2.9333876469438444648579701071867907567539764964724421796135027276816072964646665290023055039395020032e-01), SC_(4.8737075577081420166881282500675564846609614724320216534645035828942396447404446035830276248915799790e-01) }},
+      {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.7736452897241769061181430418007365494795330898556587924749704567000625360724157676092701517939511727e-01), SC_(-2.1156223081288422793211063644770138572453563413600394268502697586678182945457777132434950354231163677e-01), SC_(3.2141922402480394843964588019150294350276272721151544568588531146246464930473505445135251473893910091e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9634594511488441239446124536812458462568892642529680265004423990558267843732051305555937342925952892e-01), SC_(-8.5409353428812105256571523319257903922757730296962059795625764794071278796936359904999417711418506963e-02), SC_(9.9196370140536661517806007451248913316445364776565729227577579281057604045077901201671022992954940866e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.8507961426602883228803019073961981958060099984011753039084360078720386446123667023988475150255949526e-01), SC_(-1.7209925495914224056702706138188187847064943449563917074969927279924070607243598857996086522477531487e-01), SC_(9.9105478803571702730047795909209167869766318761675764394396722003662904738763622827899377822295432355e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.8248612785073414182685509102670101867866606445715181205154091509183064961414026941361152523421096695e-01), SC_(-9.8320842812805745037945796017375413735001762909773273395230181538881053153180460745843274908711290409e-01), SC_(9.9918618660790569357913493985971747365339871345709645144590218630847755475249250020453080799416154091e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.9158838874949604426827150019504117982370531426684233581077142421174586823163566938385360504094435130e-01), SC_(1.2943132270504812677590848413999258821957368076167066407580166536160746634327211207828164566323979708e-01), SC_(9.5216807427332399209612601388142889559348170701718081235058316586516533919961845371369694752105796844e-01) }},
+      {{ SC_(-1.5605529785156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.4850849856189024097670989535486539667872022677162829380888596814546374460520548474036175153271561409e-01), SC_(9.3730562061162150476751438595734314944960838837159437927593351031354238223322792887550880643854386618e-01), SC_(9.7541351185979966500632289702714211007616769474888190781321539444569874004850576581698447098984473774e-01) }},
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+      {{ SC_(1.9715252685546875000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.2552432416186685026934526193128921379766826802420069334155189741447969109871574924231483351424206599e-01), SC_(9.4553366644396106872879025738016398857917167142462917144519103981246913164050418116860896385695109638e-01), SC_(9.5477600273005629053462961893870689852992588659840987337775533495567475431257098929765560217201525781e-01) }},
+      {{ SC_(1.9715252685546875000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-3.9412307228568629478091636297546153976117178431143042104414325984436672903094560979335786919432390159e-01), SC_(-9.1905767168991723490423535241594951632963991958559280799910799985557761425472976757206816773545655546e-01), SC_(9.2422301160881704148508838860716761915357124551323944774087944758929470657071593948190980722116431319e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.4054705213152072851451664130651061216499217259757217431721599006205998223273563720851776196554659711e-01), SC_(-9.9007400033388392914671454535086242072251869165129442669867317682364702240378428827847175171458794744e-01), SC_(9.9984071853366842614471458726841084906264079357521344888761890568442619129819452826610841761945249390e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.5070640492058129942565255217740163494695763216559037381456171424195061110398681756028914124819463101e-01), SC_(-9.6806316866813889172199931228900862951312842168003652810485498962347027876607999917857526043808893858e-01), SC_(9.9942302452559713852269084116030636732630369591763149069010267256421389522467628458268739532812633610e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7460959847396629023213294151850600468186754526453359707119955774767291431614264354511495305616871082e-01), SC_(2.2391098803411637082502445867797619686052486034294717623183478584718412642662476193997851593899862294e-01), SC_(9.7652107100176220018304071389988193041833109679443427832086050938061220329457600374867819614433504174e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-8.7591137819560965793227178075846254493991687812511266984816459225474516690755277726181572540400781692e-01), SC_(4.8247202773577212421607049007306835524095045191215664111886203507494519542708812099117851390243407605e-01), SC_(9.6288079930202121551356736451843753542939778244370285463921850847493493915725115345472885123365413983e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-4.6250242396649649980482066020190351615612321919279456557494609907194412689120822625415608757186732226e-01), SC_(8.8661801686245645800217768700725799498166537819118235942894900353237994345457404176820430584219016246e-01), SC_(9.5627540398922768507958728734673192109735702301637317713655951281056100713965361590625156345008848052e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-1.1735531008826291520919245508896005477690524195845718339880048475212741686661323687535843820697763115e-01), SC_(-9.9308999148822744363057759901009520225182513004952136286524553869898571573704761432739426689545184600e-01), SC_(9.9541866617977664359846799474228301142404409511589411389238630589212796142638172458066619231854538725e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-2.5661560264047896550977697577574285271994983541443544067356972715404806414952219948705677776708497000e-01), SC_(9.6651354490325887257750254185816231220218423716636053686841904330333698328423906111679391851744157820e-01), SC_(9.7677311539491902219065627087092296908401907255979252384756489646051968319678552175412452558572875080e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-2.3043688031022365976100265167863985776533246242764453911544714145699594137367180026912374835735577553e-01), SC_(-9.7308727470504497158374043000785726585723147362213332885195842776034698222933783780401814107209214425e-01), SC_(9.7797376965032175821022437157898388837314600109117623736975241337618528076029566654878957935590182792e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7024515945744297738657357466434755079331657796883714801833862664891641843430559561966177382852691399e-01), SC_(2.4212461780950951071551165255952297503000013061390990430320407464582844014750946659296356182356525586e-01), SC_(4.6330574762904332411829744686422163790342838342235753322328220006082956185458756739898418452935999869e-01) }},
+      {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.6271921666412527706611162998623278828344436746037642935689292731054871089839252562699168099269047894e-01), SC_(-2.7050269844423550857864806232371501929916695397580524032916105445727409203649388936347088607548210605e-01), SC_(3.6052997174588038100329734639411992177585754440288098151836194079410246809516008674605501002506176314e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_near_1.ipp b/src/boost/libs/math/test/jacobi_near_1.ipp
new file mode 100644
index 000000000..3784aee17
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_near_1.ipp
@@ -0,0 +1,354 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 340> jacobi_near_1 = {{
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000004768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9936124862178929657881621645181864085183918423681860187396785862520605717123413406685399380582107113e-01), SC_(3.5736462515171262671173658796361885282655550407797367368767246967565775142270960241294075546367351927e-02), SC_(3.5723133911895480121899640922445600550831965573961005650871698226561870552026541364948342613336582806e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000014305114746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9936077436182305740265762942505880070947367818181132794898773596144577761932318153752214737153329561e-01), SC_(3.5749722613432715628553169307272741195011102329188833383668050964850356815583084732679478209132508739e-02), SC_(3.5709736745792682671599404581373263526701044801333523535341814550620045496488948203712498732057017070e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000033378601074218750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935982531025601614500364655259025282505814635665229090640399025716517540590131557526316221367105587e-01), SC_(3.5776242897411389640336798137070232128793830106896650516594399176561812055650730083125160534386857905e-02), SC_(3.5682942269816429157188838670831408020383121223997457406594651516016868258020580067207389880661065297e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000042915344238281250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935935051865263915735047486113654526010249743927673270177761276038424843029985650910155418309910845e-01), SC_(3.5789503083121607415749831967541532808130587365952231223694356024503294702063563047398592898634045898e-02), SC_(3.5669544959949864105435637819287301450816005044070102625046909813700756220300841914735887869992226382e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000147819519042968750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935411611454537922604681816673279309149514529840821022380007801210707169443456723123140131191273797e-01), SC_(3.5935367048574188596130658870586603259325678077312780894068903977052012489188410600116295423084873594e-02), SC_(3.5522171389827658240024209410574445295562666383769236088207845918964017440183503252721885546279178521e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000290870666503906250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9934694373075237465634151921066970602357861542329676509188178432941256915556744220631478917655855971e-01), SC_(3.6134278130390913627609094654640317241259878826206151457813687944589213129451776496300461550369058584e-02), SC_(3.5321198095556949417067313300717675686827259252339991668193302765590470280891859038544561861120273525e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000371932983398437500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9934286167753124814131392571342776632513909244848527380521892160554807524960808842808040249611793657e-01), SC_(3.6246997312365705419622654899909043653736234860893527625677781635672768579458759093245682453664911900e-02), SC_(3.5207308451560232414054205505237899944531489182512040097012760453521655141311995420890008689715696573e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000996589660644531250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9931097620864165027219465310031542946941250827291810334804095750671116621959312074419161413137564784e-01), SC_(3.7115668240402753402689250059917062222914595826608378093934126249222135687424925800143195563100714367e-02), SC_(3.4329572580251660446610503280495506358429580145905143796049996103343889948196804594921179632733199316e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0001597404479980468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9927958990572377979840922995352718001556928368962504869163503233477958808920244802834130239693182256e-01), SC_(3.7951300344632531849121062722660432211073826380488963469452361292471727250417761710007993570196150397e-02), SC_(3.3485145517244791669270158219919377826756232555597493366342767643308973856626129103762653029721538067e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9922126738572525883615985096934737542379246872162570557721278008482614426793068921887463636739257892e-01), SC_(3.9457050118640992430999735288370836965982117887075206057330612359482953959031548073429030863323308119e-02), SC_(3.1963362733204485362415093423863407199447848854193799452188513745779920844752052440282754193164327043e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9893032851875707688561830988272894258600328658118144172720086651889951652362299650709125447015552495e-01), SC_(4.6240661385928097466067420828933763850527867003804137146601696125664302459519863236590458981093024575e-02), SC_(2.5104568923475994083987155204747891917416311244009618734097942128126480441578326069647043926175848547e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0012483596801757812500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9858861863794450821691883948411704365274249753358965103850267796074469645752772267528127337525272991e-01), SC_(5.3110928505928287442257797909322905597834515794113431687558113958412726965037911230281021368296317952e-02), SC_(1.8153237543155462803067836701096459698569047964241988599087152572358359059054049298308131438716438194e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0023207664489746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9768013419211395389844759575957044763860216650562470815234213356993397846622838414826864478393798484e-01), SC_(6.8076059216184755781840577950311038573406706672675088844600265894103208744445519993559300403103933746e-02), SC_(2.9943999715622324848586115105215220299985513048294403527193588267688062368550605670306861278056228327e-03) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0060424804687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9275223561439943369665678089317248964119678445427980155471655857570286843157774469401717822210675502e-01), SC_(1.2017902763216197969677315152451453633920175705926357660874751861325404020389385327834653677322322067e-01), SC_(-4.9965954272454113037709486732652160303751311444701747699562340013704865808780400007504197732543057380e-02) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0155692100524902343750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.6735637154027865337130077405912181415705275746255993415024144757583603881348060995488920488911672649e-01), SC_(2.5341990932132061632299610199618871011222636428088359622618311788654236921637295363303486915660247366e-01), SC_(-1.8669803992671241292637737591564312105410623529773567523326462874859967205170061052766876529350597205e-01) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0305857658386230468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-8.9037307644999185961891548066152364082934652825389480690284822126953747572423134779233931568896247709e-01), SC_(4.5523157264515051576165746439917285541212023356220966397336337241653186704837219828020641191437049015e-01), SC_(-3.9749158628350816926566949245343979471653384960565298443009459540951029451206974073879850780006389752e-01) }},
+      {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0623893737792968750000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-6.0719134559454416707104305589573667628292047048469766163025850056085681130949692218928367444627674035e-01), SC_(7.9455564300751576105470945564292159344239444001338371721114375059096583894484473548719583963149859832e-01), SC_(-7.6412041425334888578087126653697299732010050441086783313382612821550919553001092840088361833581189685e-01) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000004768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884941771767374068845949560764111778511322805191229385025226734820765467112509736638548364923940404e-01), SC_(4.7956654648381339311038559193943126801582338467442869043122959184810391359715831466879439189897340727e-02), SC_(4.7946733400930347798831724061773506453356261521274285436701505289849800332902629782014328403231797354e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000014305114746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884894542085558748198261281226665105707563473967662902233717417789919585586365668107117785676748824e-01), SC_(4.7966490716380906776917513236059635732930235137306330473936925478681743604444507244368925503697776871e-02), SC_(4.7936726935099251332962549955311982568754220652884694250178964216891229721756133703724300833417873220e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000033378601074218750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884800053322777518286027010639325944449428672631354491199619955982388715763941232935413635713386273e-01), SC_(4.7986162909457619436784171981217094349436045665061053131020958274641500350267899222178077906620064086e-02), SC_(4.7916713904809832240694854347114515405949031305739202442950366657403369649264440385034724801113437354e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000042915344238281250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884752794241685177281814388034819622266182061836822776376735766050551822913199661813487761171553118e-01), SC_(4.7995999034531894188181061791780007699592547063320373697384757078514183641285191596718326417467373772e-02), SC_(4.7906707340354307698066856396015402719730742594732622218887608495079435724059545842872281711027901343e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000147819519042968750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884232297543326038608770002890771616117881226724123750877069057326172687020106828624715574982686243e-01), SC_(4.8104197665487255566450445334046446860024366559464112650876503175575173522280411224172226191479757093e-02), SC_(4.7796632962098612434876534391677461366778071717138792900598918391188478278146891016197818628413892516e-02) }},
+      {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000290870666503906250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9883520618188656094442545723741889112072524137858741950795911346620393446252964875214651661121158311e-01), SC_(4.8251744958997729782856355993831530775258031132830738841168426330430358644767129149212735614987033393e-02), SC_(4.7646525130527562772454137301364959335446518913076001744796272588168522535454015225744735632981096234e-02) }},
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+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9972263242283481540743599408497747360870457548541412998469672217116875570127792798886879974903796487e-01), SC_(2.3551183018216021253938001600501009008155573150038780116288028548084796733896793416599159415959118251e-02), SC_(4.3495699021134300166444124225546063387545267250507797699122981168308214469028322968675084635890943764e-03) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9915879545421819350530688005623615186240544270827593274622412564050735515128475466608299752025526140e-01), SC_(4.1008553576976706311793253202245137451698422113077721150856829330199964424353347050839790650622532029e-02), SC_(-1.3154931678629558158982660699935247723551027344608329867102808264119755379967383078768146573341990972e-02) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0012483596801757812500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9827648539531403745215917352563214138968446312144447102479978693505240691548978979441840473622948646e-01), SC_(5.8686103182775385959094432164210470495146664187835729337215293512993909532328740626483958923893141231e-02), SC_(-3.0893124798500284820335880409303644182778189826173654652430374404846006649343381743921738919251947699e-02) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0023207664489746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9526992589997827420306117917427182178979741082729092965897483434868497193943333068777040666157481100e-01), SC_(9.7148209448510965618814190119451117927847310257093339481999337817751394945307795550093447421264799168e-02), SC_(-6.9532095588469802480589239010157975152091841708321990467488846359840797625840328044562828776517609113e-02) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0060424804687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7327357090730138720367359153239323902247504897821653720406237386695349159240208217001492967466592893e-01), SC_(2.2964876697546228888931649787788742930944361620108470728002449961617243383843764035729632038084809597e-01), SC_(-2.0311659859397708228829612914540972881961033272228812487026550233039579579564016302202736438925829861e-01) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0155692100524902343750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.4069051112564740388498305703743050846741943876819566564676351892344788777074732833738047977587592836e-01), SC_(5.4151589496828042658602571182616923878595213758699386834940240440502083614232854508648303249637786229e-01), SC_(-5.2063493838617445779646407770009371209785483807741597530330738738065076402146210854614754006055477215e-01) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0305857658386230468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.8671357579638665629126370168770921319757407213502466576345439294626879685237098285286502834996393092e-01), SC_(8.7356161496227327149253838986791328231133879539230423927448398220130445285498224963240552394450600870e-01), SC_(-8.6509962228485538958789361261824061503929655387763193064181839580439422746694246738587153880942281811e-01) }},
+      {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0623893737792968750000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-2.2293187234404279005404405123453640992362355261738577610576210777344443465871289033909805344032394449e-01), SC_(9.7483402704931233304677248889105249284034868811789307005518001217555908178599047906139783223849231970e-01), SC_(-9.7154855780636670580019454689623684007923466283994781397066875280116362115119765459157832338091463773e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_test.cpp b/src/boost/libs/math/test/jacobi_test.cpp
new file mode 100644
index 000000000..f546fa156
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_test.cpp
@@ -0,0 +1,116 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <cmath>
+#include <boost/math/special_functions/jacobi.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using std::abs;
+using boost::math::jacobi;
+using boost::math::jacobi_derivative;
+
+template<typename Real>
+void test_to_quadratic()
+{
+    Real h = 1/Real(8);
+    for (Real alpha = -1 + h; alpha < 2; alpha += h) {
+        for (Real beta = -1 + h; beta < 2; beta += h) {
+            for (Real x = -1; x < 1; x += h) {
+                Real expected = 1;
+                Real computed = jacobi(0, alpha, beta, x);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + 1) + (alpha + beta +2)*(x-1)/2;
+                computed = jacobi(1, alpha, beta, x);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + 1)*(alpha+2)/2 + (alpha + 2)*(alpha + beta + 3)*(x-1)/2 + (alpha + beta + 3)*(alpha + beta + 4)*(x-1)*(x-1)/8;
+                computed = jacobi(2, alpha, beta, x);
+                CHECK_ULP_CLOSE(expected, computed, 1);
+
+            }
+        }
+    }
+}
+
+template<typename Real>
+void test_symmetry()
+{
+    Real h = 1/Real(4);
+    for (Real alpha = -1 + h; alpha < 2; alpha += h) {
+        for (Real beta = -1 + h; beta < 2; beta += h) {
+            for (Real x = -1; x < 1; x += h) {
+                for (size_t n = 0; n < 20; n += 2)
+                {
+                    Real expected = jacobi(n, beta, alpha , -x);
+                    Real computed = jacobi(n, alpha, beta, x);
+                    CHECK_ULP_CLOSE(expected, computed, 0);
+
+                    expected = jacobi(n+1, beta, alpha, -x);
+                    computed = -jacobi(n+1, alpha, beta, x);
+                    CHECK_ULP_CLOSE(expected, computed, 0);
+                }
+            }
+        }
+    }
+}
+
+template<typename Real>
+void test_derivative()
+{
+    Real h = 1/Real(4);
+    for (Real alpha = -1 + h; alpha < 2; alpha += h) {
+        for (Real beta = -1 + h; beta < 2; beta += h) {
+            for (Real x = -1; x < 1; x += h) {
+                Real expected = 0;
+                Real computed = jacobi_derivative(0, alpha, beta, x, 1);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + beta + 2)/2;
+                computed = jacobi_derivative(1, alpha, beta, x, 1);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + 2)*(alpha + beta + 3)/2 + (alpha + beta + 3)*(alpha + beta + 4)*(x-1)/4;
+                computed = jacobi_derivative(2, alpha, beta, x, 1);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+
+                expected = (alpha + beta + 3)*(alpha + beta + 4)/4;
+                computed = jacobi_derivative(2, alpha, beta, x, 2);
+                CHECK_ULP_CLOSE(expected, computed, 0);
+            }
+        }
+    }
+}
+
+int main()
+{
+    test_to_quadratic<double>();
+    test_to_quadratic<long double>();
+
+    test_symmetry<float>();
+    test_symmetry<double>();
+    test_symmetry<long double>();
+
+    test_derivative<float>();
+    test_derivative<double>();
+    test_derivative<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_to_quadratic<boost::multiprecision::float128>();
+    test_symmetry<boost::multiprecision::float128>();
+    test_derivative<boost::multiprecision::float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/jacobi_zeta_big_phi.ipp b/src/boost/libs/math/test/jacobi_zeta_big_phi.ipp
new file mode 100644
index 000000000..c6de5c9d6
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_zeta_big_phi.ipp
@@ -0,0 +1,412 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 400> jacobi_zeta_big_phi = {{
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-7.3825645481551929800008174136652897980288e-07) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.1561209775097933264392436959257217711586e-06) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.3027582893266674103449235881933556827198e-05) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.8313470835090651446772916725049858900681e-05) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-7.2895837489838169130496172156124563857914e-05) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.9084205195227632605192122270278261406066e-04) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.3757790605181013833497220026980002969468e-03) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.5137798214012318909260137993475897820317e-03) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-4.1250321043759855294922649541168055522732e-02) }}, 
+      {{ SC_(-1.9808662414550781250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.1733255797841120012250450040720857074103e-01) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-5.5266548203382823600406049227956656227628e-07) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-8.6548245391853288934156341049653115519702e-07) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-9.7524998131479419925855284250102353982943e-06) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-3.6166941231403248935342336229365564744059e-05) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-5.4568285172556433761631957864213533099263e-05) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-6.6656066208912760581536889193679396575429e-04) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-2.5223679853255407639235566605367346721894e-03) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-4.1149286175074983572698310952196421578580e-03) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.0159952211617099245379571881616147524512e-02) }}, 
+      {{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-8.1899293676737632246269682941088746684963e-02) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(1.5973163648710323074774814451342865125369e-07) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(2.5014212928599489131462724994073876508403e-07) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(2.8186671132408208175041202202807343397234e-06) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(1.0452915219897171354730817978288349142629e-05) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(1.5771188694325595931556880661299457131296e-05) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(1.9262517787431384651037157776540251106909e-04) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(7.2866495169096583957376280470403124650120e-04) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(1.1883642596249708013847732762833627490677e-03) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(8.6666014133269024670045985876541599794530e-03) }}, 
+      {{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(2.3299219967082687923377637826878335739736e-02) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(3.1519672371413934349655494381723431598366e-07) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(4.9360278561651500608064392811039871665660e-07) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(5.5620478561755230968760666128351918003283e-06) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(2.0626658381774703746115937279123592027876e-05) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(3.1121192832422858336392967291653089249972e-05) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(3.8011656078691724454190554566622465515009e-04) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(1.4380294916846079165071480008125406120412e-03) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(2.3454194717665715952488483901839681854829e-03) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(1.7124821666514853683147045514724433308664e-02) }}, 
+      {{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(4.6144409190515997604107395007888108540807e-02) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.8515925905417614886481997363437879581041e-07) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.2295713993476195713392453698708955078442e-06) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3855218979809475582150208486014816757890e-05) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(5.1382478083924861294538986348228961575117e-05) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.7526044689406911473303641980708168044738e-05) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.4728790122470215607693521810294815617892e-04) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.5880731468313491590912831273382977484816e-03) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.8582631670192132694364572495578762106541e-03) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.3532777337825399708180783078233454904328e-02) }}, 
+      {{ SC_(-1.4920528411865234375000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.2182479899347910050822782077307712352330e-01) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(6.0889709758634444039428087496785227917237e-07) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(9.5354229356632071160876448731466377632924e-07) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.0744873871053962527195043432262973941807e-05) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(3.9848142845301837876455595103558062837508e-05) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(6.0123496453163411923929419944025649407995e-05) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(7.3484753741276268987258275628696464534000e-04) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(2.7857277075732601805282518600472812171839e-03) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(4.5515553371257778901597238362884087200453e-03) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.4255882110363891082675297540915431204227e-02) }}, 
+      {{ SC_(-1.4580921173095703125000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(9.8953757984131404424212889472994604984062e-02) }}, 
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+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.5627600428980395312818746945627042541148e-07) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.1843398506202153589473807087144034818055e-06) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3345557163718042000681813224187276383032e-05) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(4.9492628411100877415416489542034348869670e-05) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.4674891971166454097577129763734198956430e-05) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.1255493906145793499705946261680458924268e-04) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.4577288599585916890743466017353876377429e-03) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.6471653181570443722720851594563450742650e-03) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.2186870276446463912308351880844972940631e-02) }}, 
+      {{ SC_(1.6629417419433593750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.1956486641941685448326969206992304822752e-01) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-7.0868756295782218047798887587337326072590e-07) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.1098154473687638216871924459864676881227e-06) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.2505734823329621256718832322762856202080e-05) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.6377499095145430373586855961180714550054e-05) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.9974119108338568686782096247303112088450e-05) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.5484951856127357451048673788701098095852e-04) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.2360781810118665152196673873614120109801e-03) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.2809370993988956069080620498311337730782e-03) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.8911983550436534418935463158757100218878e-02) }}, 
+      {{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.0684976463607399017628998580470925831147e-01) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-6.9923598331907420121669101764765860030737e-07) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-1.0950141247020105616515431327074803892459e-06) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.2338947161106645381210289979391948283759e-05) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.5758946362672831938401949701855128641748e-05) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.9040828096081896093891786820553323933088e-05) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-8.4343888046581426401958195772714106164283e-04) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-3.1927796662912764937366308224732653052911e-03) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-5.2101338638805587279548166099254870025738e-03) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.8372368871098958331518506514612022658855e-02) }}, 
+      {{ SC_(1.8300270080566406250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-1.0526251745199890551380559137233978741051e-01) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-6.3393363728335693515868438926317869607519e-07) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-9.9274963340264571156632319782835264903847e-07) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-1.1186590696134153982443826627451056505334e-05) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-4.1485330865217687570447660026071784575363e-05) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-6.2592711681433336568927975148100308403399e-05) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-7.6462036445954881862935427301929066920493e-04) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-2.8939006381369426966229267179322061001050e-03) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-4.7216825936161276113239365786143660471531e-03) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-3.4685646049447924294956322879211351938375e-02) }}, 
+      {{ SC_(1.8379699707031250000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-9.4632446121508004115537037470873531858911e-02) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-3.8195699261491170692676327463232682959994e-07) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-5.9815037125439036547598790978748962688525e-07) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-6.7401197340649000056965378216901316342532e-06) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-2.4995516192789006839067875780335427153563e-05) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-3.7712880774811964789340900166348015996944e-05) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-4.6063637477845307592199853273306944118502e-04) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.7427431523756136493544100241790952018383e-03) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-2.8425417189901450651067308771147171404653e-03) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-2.0770722278361962934927254189610711249449e-02) }}, 
+      {{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-5.6055790288809758391593681849456903347901e-02) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-2.1964232407331888647189612233000224419393e-07) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-3.4396316262353060630721641035310995837612e-07) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-3.8758675868941069838855157709472948791766e-06) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-1.4373506382407195926528295471279695935819e-05) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-2.1686518346490792269402557511431697458042e-05) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-2.6487565763643006266914031474602212631898e-04) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.0020000793276745923380662012184989652429e-03) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-1.6341758535065545100332429704195238562139e-03) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-1.1922026658866265464823507687264415862545e-02) }}, 
+      {{ SC_(1.8707794189453125000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-3.2073185786433286097072287755914575488638e-02) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-1.4805198345055803901444912229476011265284e-07) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-2.3185161797211895634475885112977300302529e-07) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-2.6125647859821800740452788661953199127237e-06) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-9.6885923713855576799548790500281140925245e-06) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-1.4617990227466100958577022663466586152788e-05) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-1.7854008236809372358436748497675269727297e-04) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-6.7538102894925470341109584192774172832573e-04) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-1.1014609360042665130148750635018843551473e-03) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-8.0323861611511727563454066929805675343470e-03) }}, 
+      {{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-2.1591878223978969522951378957346090491617e-02) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(-4.0572371695835515865746069231094962640648e-08) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(-6.3536939990292502882151721805181413745899e-08) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(-7.1595081406700046780706172430098762467278e-07) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(-2.6550742288995583998251268590056576326500e-06) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(-4.0059318444599950721945084742829245905701e-06) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(-4.8926988518252424081638924613706610506908e-05) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(-1.8507685565288326096009377264357589918432e-04) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(-3.0183125351428361046104757166887750619531e-04) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(-2.2004276785532427708302268423805763178854e-03) }}, 
+      {{ SC_(1.8823707580566406250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(-5.9114315381804436668752800592214188282258e-03) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(5.5755571495143187559388060687536611051761e-07) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(8.7314063339780103384691282354974427515825e-07) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(9.8387947210500395203451998154456226432979e-06) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(3.6486968352230094386519078425866927091651e-05) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(5.5051143071242795429337520244761299596489e-05) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(6.7246067225047808877486245678807548477558e-04) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(2.5447154456989507814754794101330708531109e-03) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(4.1514150335066659382719622110290568682431e-03) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.0430931771328451783480737415269051479250e-02) }}, 
+      {{ SC_(1.9244384765625000000000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(8.2654967310216556268536438131096611734492e-02) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.7506342706598044294884372611110599883645e-07) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.2137612141858116463748911378447249126880e-06) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.3677078015858226205327041211913085601090e-05) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(5.0721985510788411658334965064783762138937e-05) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(7.6529647323826385635416690593223323474465e-05) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(9.3517640219707051160904460289107996235286e-04) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.5429306362486523099105635560098425599176e-03) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.7855929368055204741541142718239308990756e-03) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(4.3126403278908530102768512666901265265752e-02) }}, 
+      {{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.2157791081762235127406370295460418934550e-01) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.7721909098327159881591796875000000000000e-03), SC_(7.0802326289388176773521183914932937419473e-07) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(2.2177286446094512939453125000000000000000e-03), SC_(1.1087753559792060226609318078416719485153e-06) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(7.4444990605115890502929687500000000000000e-03), SC_(1.2494082808940799095751418891272433782113e-05) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.4336004853248596191406250000000000000000e-02), SC_(4.6335037749336517994292945645480413634372e-05) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.7609164118766784667968750000000000000000e-02), SC_(6.9910842192533208090902114751695588611618e-05) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.1527118086814880371093750000000000000000e-02), SC_(8.5439732035333382371837329941755254527105e-04) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.1958599090576171875000000000000000000000e-01), SC_(3.2380697311425590090465673396025068459366e-03) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.5262925624847412109375000000000000000000e-01), SC_(5.2894136476213843818944198925375900602630e-03) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(4.0808975696563720703125000000000000000000e-01), SC_(3.9645926472048867377800212133347240803743e-02) }}, 
+      {{ SC_(1.9858451843261718750000000000000000000000e+01), SC_(6.5408349037170410156250000000000000000000e-01), SC_(1.1330317355442525269065390932948568676196e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/jacobi_zeta_data.ipp b/src/boost/libs/math/test/jacobi_zeta_data.ipp
new file mode 100644
index 000000000..b916e4842
--- /dev/null
+++ b/src/boost/libs/math/test/jacobi_zeta_data.ipp
@@ -0,0 +1,2012 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 2000> jacobi_zeta_data = {{
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(-1.1006729089963583467907843098269572845356e-31) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(-1.7236698295970144145959016947731140698439e-31) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(-1.9422638498398617279117828177211244185296e-30) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(-7.2026704864637038803525644479822588024334e-30) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6015441468668345503800765072810463607311e-14), SC_(-1.0867127196089248926209692780356244144333e-29) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.5958587915315438632291034082300029695034e-14), SC_(-1.3266929299546417157411720131777779883915e-28) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0876282513505586280189163517206907272339e-13), SC_(-5.0118478836802929196178304494815262279807e-28) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.3881549989352981455681401712354272603989e-13), SC_(-8.1641851265188163378211459116554218225870e-28) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.7115547180804897564598832104820758104324e-13), SC_(-5.8364484818394107861858615908834331235591e-27) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.9488546901020900037337924004532396793365e-13), SC_(-1.4993521360317912418277150838139155073844e-26) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(9.9820715929177517011794407153502106666565e-13), SC_(-4.2216116722864989513281928318898598432520e-26) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.8143772035083003402178292162716388702393e-12), SC_(-3.3558421911200191931338530162063762380716e-25) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.6511492574063950655727239791303873062134e-12), SC_(-9.1655276959555279312730312226720538839454e-25) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(8.6466146742569804928280063904821872711182e-12), SC_(-3.1675912340098097775586554632212279447483e-24) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.2510084074500724682366126216948032379150e-11), SC_(-2.1467978682988797134758443642933598505902e-23) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.8000479419284545201662695035338401794434e-11), SC_(-1.4252796617013843041257412567427611909567e-22) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.1394188370594804382562870159745216369629e-10), SC_(-5.5005195327285926985070172599943838463491e-22) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.3241869540058246457192581146955490112305e-10), SC_(-2.2886481961485191320989145143270911472787e-21) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.5748627108821438014274463057518005371094e-10), SC_(-8.8673337034538865547585328933457799827115e-21) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(9.1627927467641256953356787562370300292969e-10), SC_(-3.5570719341539289790045720440176217003360e-20) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0781109338608985126484185457229614257812e-09), SC_(-4.9245190554541250239444203630015519100181e-20) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.2146250106279694591648876667022705078125e-09), SC_(-4.3782197913644311334941982375713166855507e-19) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(7.3410291179243358783423900604248046875000e-09), SC_(-2.2832360588958063050464701391957300057126e-18) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.4760416888748295605182647705078125000000e-08), SC_(-9.2306900566935592246186242458319229094375e-18) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.9164056059016729705035686492919921875000e-08), SC_(-3.6035684003460845993809318605101309416644e-17) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.3076446470658993348479270935058593750000e-08), SC_(-4.6352654713614789901016294119640052943394e-17) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(8.8535273334855446591973304748535156250000e-08), SC_(-3.3210054328152775183394771113945111231851e-16) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.1435090502563980408012866973876953125000e-07), SC_(-1.9466486111127112980026697227270986918606e-15) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.2922022203129017725586891174316406250000e-07), SC_(-7.8054378663215733130639186403635542152632e-15) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(6.1847185861552134156227111816406250000000e-07), SC_(-1.6206036322730862428083417721863438436922e-14) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(-5.0243833710353711135908605648465375799974e-14) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(-1.5561153111058653886174714614567372981194e-13) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(-1.2462646981196699833409888071938752948115e-12) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(-3.0520337686982819207074671989288046070447e-12) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(-3.6203289954126661019125864801166707318580e-11) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(-1.0609609640840924421635584476379467289132e-10) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(-5.0695977329332700448234780209212624465302e-10) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(-2.2276514674984449505156335913688532677831e-09) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-9.6962575673634905083418801138644936350369e-09) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-2.2839042447115574628551109751424465984779e-08) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-1.1076998586896134936250998473066645927443e-07) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-5.2244881775747478632002194375496024403329e-07) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-6.9348498593179480507594315686704811927889e-07) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-4.7922453309442716570801806016134267346131e-06) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-3.5379104696214224366821942236561351200987e-05) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-6.0802357785475008421977299187652416883086e-05) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-6.2243124754001288495307851734175788522328e-04) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-1.9032354959718588866593104936846415441969e-03) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-8.0194947992159670669738942382272323760379e-03) }}, 
+      {{ SC_(-1.4856495857238769531250000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-2.6530713116712990143320445210493885078273e-02) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(-4.3158011404997917956027429188398267038505e-31) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(-6.7586075350969586688446477459725815843005e-31) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(-7.6157271336257858573009378884172377459625e-30) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(-2.8242081045193682745657326641513423500103e-29) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.6015441468668345503800765072810463607311e-14), SC_(-4.2610624431198259090669571735278392772975e-29) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.5958587915315438632291034082300029695034e-14), SC_(-5.2020385106164152233163126005720589279231e-28) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0876282513505586280189163517206907272339e-13), SC_(-1.9651740890145267358780985817775952772810e-27) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.3881549989352981455681401712354272603989e-13), SC_(-3.2012234690513239463614386186424988539562e-27) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.7115547180804897564598832104820758104324e-13), SC_(-2.2885046782299015264205498881489696405016e-26) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.9488546901020900037337924004532396793365e-13), SC_(-5.8790450876066879351535052747267315551153e-26) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(9.9820715929177517011794407153502106666565e-13), SC_(-1.6553179714957067594013330687649054001651e-25) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.8143772035083003402178292162716388702393e-12), SC_(-1.3158448288674121996080695756083897999111e-24) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.6511492574063950655727239791303873062134e-12), SC_(-3.5938555914451213350776390883106809917430e-24) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(8.6466146742569804928280063904821872711182e-12), SC_(-1.2420305568202106412872486711982856883348e-23) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.2510084074500724682366126216948032379150e-11), SC_(-8.4177166646857856791687801438770287380416e-23) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.8000479419284545201662695035338401794434e-11), SC_(-5.5886026986082052771170616869558827717610e-22) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.1394188370594804382562870159745216369629e-10), SC_(-2.1567850247479821313457152400055489419613e-21) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.3241869540058246457192581146955490112305e-10), SC_(-8.9739198761121229478543935762899635667744e-21) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.5748627108821438014274463057518005371094e-10), SC_(-3.4769320292851092577316861034125004334673e-20) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(9.1627927467641256953356787562370300292969e-10), SC_(-1.3947481567670817346112603299759707602840e-19) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0781109338608985126484185457229614257812e-09), SC_(-1.9309319582800950052399240062209744890366e-19) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.2146250106279694591648876667022705078125e-09), SC_(-1.7167249065991038700394285237008232761696e-18) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(7.3410291179243358783423900604248046875000e-09), SC_(-8.9526985778164303396069260825984853671380e-18) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.4760416888748295605182647705078125000000e-08), SC_(-3.6194061240776806155711950476371515561371e-17) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.9164056059016729705035686492919921875000e-08), SC_(-1.4129796858781501685945948684091946646593e-16) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.3076446470658993348479270935058593750000e-08), SC_(-1.8175139811574451075185833495627248914511e-16) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(8.8535273334855446591973304748535156250000e-08), SC_(-1.3021851376009107454546519776951424525112e-15) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.1435090502563980408012866973876953125000e-07), SC_(-7.6329200322130941489624608811983596050723e-15) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.2922022203129017725586891174316406250000e-07), SC_(-3.0605566258815022354621388808302493689933e-14) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(6.1847185861552134156227111816406250000000e-07), SC_(-6.3544791075487004019161560330652681802523e-14) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(-1.9700893249743481419068208260806039657402e-13) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(-6.1016167287545800139099962996306323160805e-13) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(-4.8866748345875605909020186078096004930467e-12) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(-1.1967198167686749622630742368459709776983e-11) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(-1.4195516105902923726844977866126374729743e-10) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(-4.1600883432786918177743130081566098213059e-10) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(-1.9878181329839625363974621985372729918791e-09) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(-8.7347482166866440338886305068420967419411e-09) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(-3.8019577697013952821182689944333444509209e-08) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(-8.9553184286704711501157113027839735110612e-08) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(-4.3433538721206623610162499362125219744667e-07) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(-2.0485508065445485953093206557515312610896e-06) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(-2.7191927862983387591135818035598416137678e-06) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(-1.8790603476579144920058883107784550551718e-05) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(-1.3872003255997071152799972566472091774115e-04) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(-2.3839931054003266754096842696849936600047e-04) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(-2.4395136532370346879796950147689554179594e-03) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(-7.4525121961809206369019032980790433917485e-03) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(-3.1252110730017441382710058367997205590104e-02) }}, 
+      {{ SC_(-1.2073788642883300781250000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(-1.0145099929915731008682610775484228581494e-01) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(-4.6624872274367535294710462756257041961490e-31) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(-7.3015230039070169953523105566364901950682e-31) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(-8.2274945791551716800312414547514603924315e-30) }}, 
+      {{ SC_(-1.1704149246215820312500000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(-3.0510752896784340750078632227348262284138e-29) }}, 
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+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(5.4332684124703488513280567384049171480482e-14) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(1.6827521989530605304354139728466291691464e-13) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(1.3476858985135689974527328713608627968882e-12) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(3.3004087157950487621492262642212367308947e-12) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(3.9149518898012625783348405292500622395573e-11) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(1.1473021199474767320055597635655801401637e-10) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(5.4821623256228069099356633063510700859775e-10) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(2.4089380643065460073514696002606729378516e-09) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(1.0485340402150105435295513660313623871602e-08) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(2.4697687002484480098702582959198226958470e-08) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.1978446315523459215710259870093400507932e-07) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(5.6496577554284035918961509413443665237851e-07) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(7.4992089004509926939662157790343265243543e-07) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(5.1822387642104566703389417045458804391150e-06) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(3.8258251452675010927900443813512375739090e-05) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(6.5750433239703311753131891196737366136496e-05) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(6.7308171511669610299133168975537993832644e-04) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(2.0580918681937666074536199781500080423988e-03) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(8.6715641427590906504436289457225474824545e-03) }}, 
+      {{ SC_(1.4786438941955566406250000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(2.8682021569841588034739558701766227484402e-02) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.6117982430230003848548037126420240383595e-15), SC_(1.0528401423792132759850172843337197049206e-31) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.0170124522423532598125461845484096556902e-15), SC_(1.6487630193991439149503473403217877312822e-31) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.7707324528888321313324638595076976343989e-15), SC_(1.8578574356554501230963542703593363042148e-30) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.3038520458620583841735651731141842901707e-14), SC_(6.8896586429057763697136499980577796409936e-30) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.6015441468668345503800765072810463607311e-14), SC_(1.0394866313931853197806232069772293392965e-29) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.5958587915315438632291034082300029695034e-14), SC_(1.2690378420784425843305107146471931844948e-28) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0876282513505586280189163517206907272339e-13), SC_(4.7940442581151750519360680465451986030269e-28) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.3881549989352981455681401712354272603989e-13), SC_(7.8093880214169648735390942978847133292956e-28) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.7115547180804897564598832104820758104324e-13), SC_(5.5828095707487600920230472119199923542604e-27) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.9488546901020900037337924004532396793365e-13), SC_(1.4341936677770193750565852463190369852169e-26) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(9.9820715929177517011794407153502106666565e-13), SC_(4.0381499333646011945658848103303714700567e-26) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.8143772035083003402178292162716388702393e-12), SC_(3.2100048446932946014476744483663648455793e-25) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.6511492574063950655727239791303873062134e-12), SC_(8.7672144971657222748730827018332446131375e-25) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.6466146742569804928280063904821872711182e-12), SC_(3.0299348503589543479893633695044661563339e-24) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.2510084074500724682366126216948032379150e-11), SC_(2.0535028661513665126419052022637405219821e-23) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.8000479419284545201662695035338401794434e-11), SC_(1.3633402164174163337523244205160547582336e-22) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.1394188370594804382562870159745216369629e-10), SC_(5.2614793374702526624069109356418783394041e-22) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.3241869540058246457192581146955490112305e-10), SC_(2.1891886981084121351945472799985277592325e-21) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.5748627108821438014274463057518005371094e-10), SC_(8.4819793442370215555134672605748239909296e-21) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(9.1627927467641256953356787562370300292969e-10), SC_(3.4024895961349738501972490182158782184167e-20) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0781109338608985126484185457229614257812e-09), SC_(4.7105105441553335389722933524079579499678e-20) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.2146250106279694591648876667022705078125e-09), SC_(4.1879522161682169539419641957375135858207e-19) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(7.3410291179243358783423900604248046875000e-09), SC_(2.1840117601560482421267683927992215111753e-18) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.4760416888748295605182647705078125000000e-08), SC_(8.8295450484098262673994187518459406840730e-18) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.9164056059016729705035686492919921875000e-08), SC_(3.4469654305865705560936485077119259093991e-17) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.3076446470658993348479270935058593750000e-08), SC_(4.4338272696142257280320499993091644285567e-17) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.8535273334855446591973304748535156250000e-08), SC_(3.1766820134744916942538206200072536269880e-16) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.1435090502563980408012866973876953125000e-07), SC_(1.8620516450750453593013166543995122941271e-15) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.2922022203129017725586891174316406250000e-07), SC_(7.4662311094796806588554451059427531869255e-15) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.1847185861552134156227111816406250000000e-07), SC_(1.5501758469720922503254859304490771947741e-14) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0889875738939736038446426391601562500000e-06), SC_(4.8060349814116616654266116690495883150565e-14) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.9164717741659842431545257568359375000000e-06), SC_(1.4884900430565558451231099450897449531155e-13) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.4235879360930994153022766113281250000000e-06), SC_(1.1921048401263483837835778334590017478702e-12) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(8.4874300227966159582138061523437500000000e-06), SC_(2.9193992523287708913179485317313684507412e-12) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.9231799999251961708068847656250000000000e-05), SC_(3.4629976479261021506315500958598675366562e-11) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(5.0041606300510466098785400390625000000000e-05), SC_(1.0148539891874561782969578188778077897121e-10) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0938764899037778377532958984375000000000e-04), SC_(4.8492844289441349937637836404173346512801e-10) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.2930058185011148452758789062500000000000e-04), SC_(2.1308427499773881994294956118635216125026e-09) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.7839165199548006057739257812500000000000e-04), SC_(9.2748800435533112994988607391614703951393e-09) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(7.3421024717390537261962890625000000000000e-04), SC_(2.1846509083028390202428253673411740829528e-08) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.6169343143701553344726562500000000000000e-03), SC_(1.0595617170877165160537905984205118117264e-07) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.5115787759423255920410156250000000000000e-03), SC_(4.9974436931039086645367728090485005588175e-07) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.0457472205162048339843750000000000000000e-03), SC_(6.6334769140605733239391878317641631584070e-07) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.0635107755661010742187500000000000000000e-02), SC_(4.5839852181691608430084984019377503151536e-06) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.8892643749713897705078125000000000000000e-02), SC_(3.3841612832606061108936302315388259236264e-05) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(3.7872627377510070800781250000000000000000e-02), SC_(5.8160037131104125198800938791788097672479e-05) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(1.2087455391883850097656250000000000000000e-01), SC_(5.9538315051239716664555139028924118499417e-04) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(2.1016991138458251953125000000000000000000e-01), SC_(1.8205381107728354608191752622126544395889e-03) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(4.1968369483947753906250000000000000000000e-01), SC_(7.6712330926966075903637212057437228675226e-03) }}, 
+      {{ SC_(1.4893836975097656250000000000000000000000e+00), SC_(6.9936919212341308593750000000000000000000e-01), SC_(2.5381192295642353146321014687386230560055e-02) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/laguerre2.ipp b/src/boost/libs/math/test/laguerre2.ipp
new file mode 100644
index 000000000..a7146ec97
--- /dev/null
+++ b/src/boost/libs/math/test/laguerre2.ipp
@@ -0,0 +1,288 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 280> laguerre2 = {{
+      {{ SC_(0.5e1), SC_(0.9754039764404296875e2), SC_(-0.56218428868911115998451316426215010600803852349048e8) }}, 
+      {{ SC_(0.5e1), SC_(0.12698681640625e3), SC_(-0.2243354877625806499089339248835065869040287604245e9) }}, 
+      {{ SC_(0.5e1), SC_(0.1354770050048828125e3), SC_(-0.31418973293934559300911242611564538290439848722478e9) }}, 
+      {{ SC_(0.5e1), SC_(0.1883819732666015625e3), SC_(-0.17256344438562512861154328485542977773202418102338e10) }}, 
+      {{ SC_(0.5e1), SC_(0.2210340576171875e3), SC_(-0.39170586692926680364193521563384606561329196831404e10) }}, 
+      {{ SC_(0.5e1), SC_(0.27849822998046875e3), SC_(-0.12743797194803555297871516510157023166259117561797e11) }}, 
+      {{ SC_(0.5e1), SC_(0.30816705322265625e3), SC_(-0.21330001890239721242857731991140245635183835676285e11) }}, 
+      {{ SC_(0.5e1), SC_(0.5468814697265625e3), SC_(-0.38928352555423736374909603306210170085670252415611e12) }}, 
+      {{ SC_(0.5e1), SC_(0.5472205810546875e3), SC_(-0.39050320967058708332723880470821630124002299400132e12) }}, 
+      {{ SC_(0.5e1), SC_(0.6323592529296875e3), SC_(-0.8097387851220286833483200510030936982898650914701e12) }}, 
+      {{ SC_(0.5e1), SC_(0.81472369384765625e3), SC_(-0.29004794312410106580901353153584987792805041014836e13) }}, 
+      {{ SC_(0.5e1), SC_(0.835008544921875e3), SC_(-0.32824640180206380842810590985413965806061220575884e13) }}, 
+      {{ SC_(0.5e1), SC_(0.90579193115234375e3), SC_(-0.49421323240476384503475902217971923134518824327159e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9133758544921875e3), SC_(-0.51537136874727263493269087352302138644536549927366e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9575068359375e3), SC_(-0.65333402285178696166233025823588675962128036189824e13) }}, 
+      {{ SC_(0.5e1), SC_(0.96488848876953125e3), SC_(-0.67904577991104770306176706554532355404413293600378e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9676949462890625e3), SC_(-0.68903095684447650874743766361869788199054585412876e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9688677978515625e3), SC_(-0.69323852072435892067304941218115151610034557760898e13) }}, 
+      {{ SC_(0.5e1), SC_(0.99288128662109375e3), SC_(-0.78400756116163888448805990221667549169323386803558e13) }}, 
+      {{ SC_(0.5e1), SC_(0.9964613037109375e3), SC_(-0.79831715395647963750699081595768764433417262009011e13) }}, 
+      {{ SC_(0.6e1), SC_(0.9754039764404296875e2), SC_(0.80820995722555766966204481326428921093819853380883e9) }}, 
+      {{ SC_(0.6e1), SC_(0.12698681640625e3), SC_(0.43287285333593211699487383676400548034517465653989e10) }}, 
+      {{ SC_(0.6e1), SC_(0.1354770050048828125e3), SC_(0.65078719322668723671436292885961437403753159577959e10) }}, 
+      {{ SC_(0.6e1), SC_(0.1883819732666015625e3), SC_(0.50975971206548972048503974573840505796401940705308e11) }}, 
+      {{ SC_(0.6e1), SC_(0.2210340576171875e3), SC_(0.13704228670315682904098855918609456694715553605731e12) }}, 
+      {{ SC_(0.6e1), SC_(0.27849822998046875e3), SC_(0.56796012600833411397117536544899859778691289306697e12) }}, 
+      {{ SC_(0.6e1), SC_(0.30816705322265625e3), SC_(0.10561318402049538938483073960821297722447423948919e13) }}, 
+      {{ SC_(0.6e1), SC_(0.5468814697265625e3), SC_(0.34765288907987505446684019181571310232694381424255e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5472205810546875e3), SC_(0.34896286395332650547095052626160857783947143332365e14) }}, 
+      {{ SC_(0.6e1), SC_(0.6323592529296875e3), SC_(0.83851035075753307874674729684024391015233495095035e14) }}, 
+      {{ SC_(0.6e1), SC_(0.81472369384765625e3), SC_(0.38851567401648686934604173193933429726823924901636e15) }}, 
+      {{ SC_(0.6e1), SC_(0.835008544921875e3), SC_(0.45077984162776358272899308358214843622672411937698e15) }}, 
+      {{ SC_(0.6e1), SC_(0.90579193115234375e3), SC_(0.73700705849391831486587833923818658629022423687651e15) }}, 
+      {{ SC_(0.6e1), SC_(0.9133758544921875e3), SC_(0.77507405395421988441046439866170936792437945158589e15) }}, 
+      {{ SC_(0.6e1), SC_(0.9575068359375e3), SC_(0.10306131640131364207923517549718197693249532864712e16) }}, 
+      {{ SC_(0.6e1), SC_(0.96488848876953125e3), SC_(0.10795269882491233868704393921117749304908016202882e16) }}, 
+      {{ SC_(0.6e1), SC_(0.9676949462890625e3), SC_(0.10986241099950023947147288133858596641922819961585e16) }}, 
+      {{ SC_(0.6e1), SC_(0.9688677978515625e3), SC_(0.11066879989104805588335103036958066630483588267248e16) }}, 
+      {{ SC_(0.6e1), SC_(0.99288128662109375e3), SC_(0.12829707187512957309933510816037300428272415242332e16) }}, 
+      {{ SC_(0.6e1), SC_(0.9964613037109375e3), SC_(0.13111507527148485594511524621819926397653608283432e16) }}, 
+      {{ SC_(0.7e1), SC_(0.9754039764404296875e2), SC_(-0.97127257986443053526417273414388194974570607385935e10) }}, 
+      {{ SC_(0.7e1), SC_(0.12698681640625e3), SC_(-0.70295995953992755265946027355243029063331213138355e11) }}, 
+      {{ SC_(0.7e1), SC_(0.1354770050048828125e3), SC_(-0.11359707497453571901517561189586228142270903451764e12) }}, 
+      {{ SC_(0.7e1), SC_(0.1883819732666015625e3), SC_(-0.12757018018175550435561074775586631022961625260251e13) }}, 
+      {{ SC_(0.7e1), SC_(0.2210340576171875e3), SC_(-0.40694229451399857384340512241235666223436876850873e13) }}, 
+      {{ SC_(0.7e1), SC_(0.27849822998046875e3), SC_(-0.21530849338789697137868260826250260284211997386438e14) }}, 
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+      {{ SC_(0.32e2), SC_(0.1883819732666015625e3), SC_(0.28266779160071220855863136752236809118289513550655e35) }}, 
+      {{ SC_(0.32e2), SC_(0.2210340576171875e3), SC_(0.16043258633437377313296386512455676335765088879499e38) }}, 
+      {{ SC_(0.32e2), SC_(0.27849822998046875e3), SC_(0.98152083075443552200456383499687746658509404557554e41) }}, 
+      {{ SC_(0.32e2), SC_(0.30816705322265625e3), SC_(0.39660303068870304789061389710467952730805922359184e43) }}, 
+      {{ SC_(0.32e2), SC_(0.5468814697265625e3), SC_(0.2124691778655363299602608193872213697408649234399e52) }}, 
+      {{ SC_(0.32e2), SC_(0.5472205810546875e3), SC_(0.21701146117737990401627817320898898731158045140974e52) }}, 
+      {{ SC_(0.32e2), SC_(0.6323592529296875e3), SC_(0.29453956822267682637622660585710995711330784866261e54) }}, 
+      {{ SC_(0.32e2), SC_(0.81472369384765625e3), SC_(0.14579187010342463619209867543395472012389261100613e58) }}, 
+      {{ SC_(0.32e2), SC_(0.835008544921875e3), SC_(0.33104915961295333458609667123641141490590693664242e58) }}, 
+      {{ SC_(0.32e2), SC_(0.90579193115234375e3), SC_(0.49617254391613681021336977691940022261460402301085e59) }}, 
+      {{ SC_(0.32e2), SC_(0.9133758544921875e3), SC_(0.65447509655180124047279400990868215055245034097822e59) }}, 
+      {{ SC_(0.32e2), SC_(0.9575068359375e3), SC_(0.31314186002835766887651202030265122705420348145384e60) }}, 
+      {{ SC_(0.32e2), SC_(0.96488848876953125e3), SC_(0.40390183129399277888276794404622531827627609452775e60) }}, 
+      {{ SC_(0.32e2), SC_(0.9676949462890625e3), SC_(0.44470349220352623223005295792036557179541953880227e60) }}, 
+      {{ SC_(0.32e2), SC_(0.9688677978515625e3), SC_(0.46291347880797126364720392445817548485904681626203e60) }}, 
+      {{ SC_(0.32e2), SC_(0.99288128662109375e3), SC_(0.10414215853249607927566783846023113314868365327492e61) }}, 
+      {{ SC_(0.32e2), SC_(0.9964613037109375e3), SC_(0.11731839293063017507522289233426225751615807834469e61) }}, 
+      {{ SC_(0.33e2), SC_(0.9754039764404296875e2), SC_(-0.15519766552964914960282162902087252393890944756729e21) }}, 
+      {{ SC_(0.33e2), SC_(0.12698681640625e3), SC_(-0.49834394329409786429107636406724247060325054488444e27) }}, 
+      {{ SC_(0.33e2), SC_(0.1354770050048828125e3), SC_(-0.19840581047253598115611184022145906036118542457808e29) }}, 
+      {{ SC_(0.33e2), SC_(0.1883819732666015625e3), SC_(-0.98212428153399951310107146404282928611923578181199e35) }}, 
+      {{ SC_(0.33e2), SC_(0.2210340576171875e3), SC_(-0.72578044049144687694845377262857641629094641588691e38) }}, 
+      {{ SC_(0.33e2), SC_(0.27849822998046875e3), SC_(-0.62057397100619303564513894784492557621908539158042e42) }}, 
+      {{ SC_(0.33e2), SC_(0.30816705322265625e3), SC_(-0.28714296782385167119124999018599500804762523101335e44) }}, 
+      {{ SC_(0.33e2), SC_(0.5468814697265625e3), SC_(-0.30888931981090919336348667046948287489524269522361e53) }}, 
+      {{ SC_(0.33e2), SC_(0.5472205810546875e3), SC_(-0.31571691597216716720754649436373448511713945451381e53) }}, 
+      {{ SC_(0.33e2), SC_(0.6323592529296875e3), SC_(-0.50478315840421718669131419020872977517323737909924e55) }}, 
+      {{ SC_(0.33e2), SC_(0.81472369384765625e3), SC_(-0.33062025262205293767486203308022299641518265442287e59) }}, 
+      {{ SC_(0.33e2), SC_(0.835008544921875e3), SC_(-0.77112383731383286471230156867910260520520657245124e59) }}, 
+      {{ SC_(0.33e2), SC_(0.90579193115234375e3), SC_(-0.1262346064599467935961005524047195599692654321956e61) }}, 
+      {{ SC_(0.33e2), SC_(0.9133758544921875e3), SC_(-0.16801567279045565630405655696613192336457136904877e61) }}, 
+      {{ SC_(0.33e2), SC_(0.9575068359375e3), SC_(-0.84582529186776869237021206078881700754491798000552e61) }}, 
+      {{ SC_(0.33e2), SC_(0.96488848876953125e3), SC_(-0.11000226620410340743835989544374720411357868296468e62) }}, 
+      {{ SC_(0.33e2), SC_(0.9676949462890625e3), SC_(-0.12149322908840894133499880791452022966588461024746e62) }}, 
+      {{ SC_(0.33e2), SC_(0.9688677978515625e3), SC_(-0.12663293722507282266407117288015925037770799060973e62) }}, 
+      {{ SC_(0.33e2), SC_(0.99288128662109375e3), SC_(-0.29247499878319565468778047006263649127299274582216e62) }}, 
+      {{ SC_(0.33e2), SC_(0.9964613037109375e3), SC_(-0.33075364818279888462182974219279083273759877224615e62) }}, 
+      {{ SC_(0.36e2), SC_(0.9754039764404296875e2), SC_(-0.14202381258875603292784398243371786895083677644968e21) }}, 
+      {{ SC_(0.36e2), SC_(0.12698681640625e3), SC_(-0.99689260408784512857796674097683890787134923850651e23) }}, 
+      {{ SC_(0.36e2), SC_(0.1354770050048828125e3), SC_(0.33085802053384704162061389949004801316875589574167e29) }}, 
+      {{ SC_(0.36e2), SC_(0.1883819732666015625e3), SC_(0.29691002837109064218075098689453177656242661416649e37) }}, 
+      {{ SC_(0.36e2), SC_(0.2210340576171875e3), SC_(0.50722869577926074483465513588442579657337298353026e40) }}, 
+      {{ SC_(0.36e2), SC_(0.27849822998046875e3), SC_(0.12276018084343264808614960453898425578975135870535e45) }}, 
+      {{ SC_(0.36e2), SC_(0.30816705322265625e3), SC_(0.86176792520194608969749051518980054897501919421191e46) }}, 
+      {{ SC_(0.36e2), SC_(0.5468814697265625e3), SC_(0.77496906300517296899212867022166471009005365376408e56) }}, 
+      {{ SC_(0.36e2), SC_(0.5472205810546875e3), SC_(0.79380346709534996703125888877181202810222361959297e56) }}, 
+      {{ SC_(0.36e2), SC_(0.6323592529296875e3), SC_(0.20837628323063930783612574671644907853428390635937e59) }}, 
+      {{ SC_(0.36e2), SC_(0.81472369384765625e3), SC_(0.31805284832302734783735872178451062267986916005535e63) }}, 
+      {{ SC_(0.36e2), SC_(0.835008544921875e3), SC_(0.80427224577995045297081384061933456722295034711368e63) }}, 
+      {{ SC_(0.36e2), SC_(0.90579193115234375e3), SC_(0.17180125938368536870586199334103942944296763636498e65) }}, 
+      {{ SC_(0.36e2), SC_(0.9133758544921875e3), SC_(0.2349585543781729049082862094571853647181110727758e65) }}, 
+      {{ SC_(0.36e2), SC_(0.9575068359375e3), SC_(0.13788032216346989091599957999852901194859847097388e66) }}, 
+      {{ SC_(0.36e2), SC_(0.96488848876953125e3), SC_(0.18383754088256510557951005527578044897458936835611e66) }}, 
+      {{ SC_(0.36e2), SC_(0.9676949462890625e3), SC_(0.20496108373672385020966386552222912655862108987654e66) }}, 
+      {{ SC_(0.36e2), SC_(0.9688677978515625e3), SC_(0.21447176171446511024838576925006696393416059852805e66) }}, 
+      {{ SC_(0.36e2), SC_(0.99288128662109375e3), SC_(0.53619191227443818889184097649341805455543103147757e66) }}, 
+      {{ SC_(0.36e2), SC_(0.9964613037109375e3), SC_(0.6134634193224111642857607073780448563124536964454e66) }}, 
+      {{ SC_(0.38e2), SC_(0.9754039764404296875e2), SC_(0.13026109621262939918139850088931337407072881569374e21) }}, 
+      {{ SC_(0.38e2), SC_(0.12698681640625e3), SC_(-0.39045802697684580087249595226480504736900650572604e27) }}, 
+      {{ SC_(0.38e2), SC_(0.1354770050048828125e3), SC_(0.4703084156408515882792903403585270483597230661564e28) }}, 
+      {{ SC_(0.38e2), SC_(0.1883819732666015625e3), SC_(0.21811950666425589665298269088166544127028329061958e38) }}, 
+      {{ SC_(0.38e2), SC_(0.2210340576171875e3), SC_(0.68226335876612312689262066243026383595759661918497e41) }}, 
+      {{ SC_(0.38e2), SC_(0.27849822998046875e3), SC_(0.3417431296914681619225852746415756851618849310483e46) }}, 
+      {{ SC_(0.38e2), SC_(0.30816705322265625e3), SC_(0.31970819524145633109548465679514234447503951190819e48) }}, 
+      {{ SC_(0.38e2), SC_(0.5468814697265625e3), SC_(0.12178742579145686663348414006307088453127654992376e59) }}, 
+      {{ SC_(0.38e2), SC_(0.5472205810546875e3), SC_(0.12492841620300639426815182320836485753685517201536e59) }}, 
+      {{ SC_(0.38e2), SC_(0.6323592529296875e3), SC_(0.45810661530573839216333825165973798523285084973924e61) }}, 
+      {{ SC_(0.38e2), SC_(0.81472369384765625e3), SC_(0.12351347140304796554466586331231292139128275112892e66) }}, 
+      {{ SC_(0.38e2), SC_(0.835008544921875e3), SC_(0.32975853153845151581573454625890910497305801446349e66) }}, 
+      {{ SC_(0.38e2), SC_(0.90579193115234375e3), SC_(0.84216312274962467518837779101216307869158288654706e67) }}, 
+      {{ SC_(0.38e2), SC_(0.9133758544921875e3), SC_(0.11729374185740406136241147249355309364674121773484e68) }}, 
+      {{ SC_(0.38e2), SC_(0.9575068359375e3), SC_(0.76287452793236059887210998415733522854114359820263e68) }}, 
+      {{ SC_(0.38e2), SC_(0.96488848876953125e3), SC_(0.10342759141411866835170522110986503338234205828331e69) }}, 
+      {{ SC_(0.38e2), SC_(0.9676949462890625e3), SC_(0.11604186211493955868813819686880547173842867350967e69) }}, 
+      {{ SC_(0.38e2), SC_(0.9688677978515625e3), SC_(0.12174646477307642518592858476271949696633470067733e69) }}, 
+      {{ SC_(0.38e2), SC_(0.99288128662109375e3), SC_(0.32098315809650975303906367704092470560267558301581e69) }}, 
+      {{ SC_(0.38e2), SC_(0.9964613037109375e3), SC_(0.37011679718261969297940214190611219199030995011675e69) }}, 
+      {{ SC_(0.39e2), SC_(0.9754039764404296875e2), SC_(-0.81788056310459660065120382039447835033044197049489e20) }}, 
+      {{ SC_(0.39e2), SC_(0.12698681640625e3), SC_(0.22229715039776080683928576767759683825519547792559e27) }}, 
+      {{ SC_(0.39e2), SC_(0.1354770050048828125e3), SC_(0.15550461280029801190156888344119462891700106953436e29) }}, 
+      {{ SC_(0.39e2), SC_(0.1883819732666015625e3), SC_(-0.54226895058411233344275595074274527247091920347531e38) }}, 
+      {{ SC_(0.39e2), SC_(0.2210340576171875e3), SC_(-0.23342183174200163814210714804874246930233709812346e42) }}, 
+      {{ SC_(0.39e2), SC_(0.27849822998046875e3), SC_(-0.17013038203469478431364477259901167967979013129897e47) }}, 
+      {{ SC_(0.39e2), SC_(0.30816705322265625e3), SC_(-0.18429253515276943444879261921619357066598024943888e49) }}, 
+      {{ SC_(0.39e2), SC_(0.5468814697265625e3), SC_(-0.14577093593047894021012074885872239431277128765197e60) }}, 
+      {{ SC_(0.39e2), SC_(0.5472205810546875e3), SC_(-0.14963982369811780116397608759812127691336981298577e60) }}, 
+      {{ SC_(0.39e2), SC_(0.6323592529296875e3), SC_(-0.6492862403071900096406830281442380096038500168606e62) }}, 
+      {{ SC_(0.39e2), SC_(0.81472369384765625e3), SC_(-0.23301820931113238390488179765094297019115309966495e67) }}, 
+      {{ SC_(0.39e2), SC_(0.835008544921875e3), SC_(-0.6393122118320767120277111175042508309950280050084e67) }}, 
+      {{ SC_(0.39e2), SC_(0.90579193115234375e3), SC_(-0.1785926484809201389439108598459489796533771170743e69) }}, 
+      {{ SC_(0.39e2), SC_(0.9133758544921875e3), SC_(-0.25102368049271316850934544583200188325859894245069e69) }}, 
+      {{ SC_(0.39e2), SC_(0.9575068359375e3), SC_(-0.17191430467481203804500407886563167282958450012617e70) }}, 
+      {{ SC_(0.39e2), SC_(0.96488848876953125e3), SC_(-0.2350360204862166230883463530178770075607651772555e70) }}, 
+      {{ SC_(0.39e2), SC_(0.9676949462890625e3), SC_(-0.26453813089044823183666856904573749479668606778886e70) }}, 
+      {{ SC_(0.39e2), SC_(0.9688677978515625e3), SC_(-0.27790958611107454497958236687689216620181150284596e70) }}, 
+      {{ SC_(0.39e2), SC_(0.99288128662109375e3), SC_(-0.75250430660256030378942490914723092683335523198301e70) }}, 
+      {{ SC_(0.39e2), SC_(0.9964613037109375e3), SC_(-0.87109521955089946525219892186343098358449543636311e70) }}
+   }};
+
diff --git a/src/boost/libs/math/test/laguerre3.ipp b/src/boost/libs/math/test/laguerre3.ipp
new file mode 100644
index 000000000..8c8efe929
--- /dev/null
+++ b/src/boost/libs/math/test/laguerre3.ipp
@@ -0,0 +1,2248 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 2240> laguerre3 = {{
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9754039764404296875e2), SC_(0.61248773400035441372705568899743424188675775638604e9) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.12698681640625e3), SC_(0.35204789737752362425049635886299775785128782532338e10) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.1354770050048828125e3), SC_(0.53680020529340456542399945558001901900007952546989e10) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.1883819732666015625e3), SC_(0.44534031167752568381323984620072514172994661540171e11) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.2210340576171875e3), SC_(0.12226434763229329677261432059244153549746269983841e12) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.27849822998046875e3), SC_(0.51928144111428742292292453631991614690587389994904e12) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.30816705322265625e3), SC_(0.97428426563622634057559347373791034771828164883086e12) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.5468814697265625e3), SC_(0.3324381244018248505151003408444078258062512743881e14) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.5472205810546875e3), SC_(0.33370020703520225304974334354074929274249826530701e14) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.6323592529296875e3), SC_(0.80676208197265431223389966116130786752172758946929e14) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.81472369384765625e3), SC_(0.37709198164073899574491439717306334644653651087643e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.835008544921875e3), SC_(0.43784677681230003590939175326930086254310296977861e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.90579193115234375e3), SC_(0.71751164134703529160531275753374390004620108776236e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9133758544921875e3), SC_(0.75474163633107959381273333540455867778846765466731e15) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9575068359375e3), SC_(0.10048213277050885981803871378237693755448856069989e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.96488848876953125e3), SC_(0.10527174037983159903287634170928938343127358723874e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9676949462890625e3), SC_(0.10714192604719650298629709048594099989758377336641e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9688677978515625e3), SC_(0.10793165886036598413491640043052411777219226808173e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.99288128662109375e3), SC_(0.12520056327602887353590139034934048397213872282597e16) }}, 
+      {{ SC_(0.6e1), SC_(0.4e1), SC_(0.9964613037109375e3), SC_(0.12796190491413846860531891431736127176350842769258e16) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.9754039764404296875e2), SC_(0.57021748735352796844833665641714981145537658965832e9) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.12698681640625e3), SC_(0.33392337350031500089312750393952812869969520242424e10) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.1354770050048828125e3), SC_(0.51104706607057706503593300411908865340079809564711e10) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.1883819732666015625e3), SC_(0.43033684039351042149204372971415695875947452322601e11) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.2210340576171875e3), SC_(0.11878421144708082332834762334306478479136415095637e12) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.27849822998046875e3), SC_(0.50766913019696586493282931975810537104713641422173e12) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.30816705322265625e3), SC_(0.95466760718538857591082062972549747072346150612994e12) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.5468814697265625e3), SC_(0.32872226240917190297091739750525454366627699186064e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.5472205810546875e3), SC_(0.32997259328655255330496759553150199138853700279145e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.6323592529296875e3), SC_(0.79898329260889892967192058996859678757129709781078e14) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.81472369384765625e3), SC_(0.37428017493482775405894670005457409154697608991328e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.835008544921875e3), SC_(0.43466223450876443481509940956447737669130708637296e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.90579193115234375e3), SC_(0.71270545904261412829731553082318032163659205189309e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.9133758544921875e3), SC_(0.7497285196890962326633452898612092751671091947701e15) }}, 
+      {{ SC_(0.6e1), SC_(0.5e1), SC_(0.9575068359375e3), SC_(0.99845803303929955008572627409241608030868175838179e15) }}, 
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+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.6323592529296875e3), SC_(-0.84196343603241778006381658157743181354377885775922e72) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.81472369384765625e3), SC_(-0.86157318204398801067418464221683001202735009451485e78) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.835008544921875e3), SC_(-0.3229794917111444064930798736319578366982249750048e79) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.90579193115234375e3), SC_(-0.24997713010410319875351696557857678569354844836328e81) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9133758544921875e3), SC_(-0.38959675198826857041536767909021901669084098876338e81) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9575068359375e3), SC_(-0.47698754627870214398837894364370617412641440207875e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.96488848876953125e3), SC_(-0.7163777266035546050195813883475085233727823154041e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9676949462890625e3), SC_(-0.83543571310763374889834849414881575556735386136858e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9688677978515625e3), SC_(-0.89074864582832301584239019351245730273845614840483e82) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.99288128662109375e3), SC_(-0.32501886194029633537695219597823561980219500935259e83) }}, 
+      {{ SC_(0.49e2), SC_(0.19e2), SC_(0.9964613037109375e3), SC_(-0.39305507139881250084440920416798458859478419817795e83) }}
+   }};
+
diff --git a/src/boost/libs/math/test/lambert_w_high_reference_values.ipp b/src/boost/libs/math/test/lambert_w_high_reference_values.ipp
new file mode 100644
index 000000000..bcbd824ba
--- /dev/null
+++ b/src/boost/libs/math/test/lambert_w_high_reference_values.ipp
@@ -0,0 +1,933 @@
+
+
+// A collection of big Lambert W test values computed using 100 decimal digits precision.
+// C++ floating-point type is RealType.
+
+// Written by I:\modular-boost\libs\math\test\lambert_w_high_reference_values.cpp Tue Oct 10 14:32:47 2017
+
+// Copyright Paul A. Bristow 2017.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Size of arrays of arguments z and Lambert W
+static const unsigned int noof_tests = 450;
+
+// Declare arrays of arguments z and Lambert W(z)
+
+template <typename RealType>
+static RealType zs[450];
+
+template <typename RealType>
+static RealType ws[450];
+// The values are defined using the macro BOOST_MATH_TEST_VALUE to ensure
+// that both built-in and multiprecision types are correctly initialiased with full precision.
+// built-in types like float, double require a floating-point literal like 3.14,
+// but multiprecision types require a decimal digit string like "3.14".
+// Numerical values are chosen to avoid exactly representable values.
+
+template <typename RealType>
+void init_zws()
+{
+  zs<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, 0.5999999999999999777955395074968691915273666381835937500000000000000000000000000000000000000000000000);
+  ws<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, 0.4015636367870725840596232119093618401250821463765781307144089819032551434525179709162089487011544152);
+  zs<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, 1.699999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, 0.7796011225311008662356536916883580556792500749037209859530390902424444585607630246126725241921761054);
+  zs<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, 2.199999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, 0.8970741340486472832529094012483877796469756302241005331449133504770916140694317158875490176641388180);
+  zs<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, 2.699999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, 0.9966287342654774578203091807272871494846015619689842252588224928604557045580020903399140826514419525);
+  zs<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, 3.199999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, 1.083216216147652072726562700563454011684986526601600660806443834509711499483389930134543612892458143);
+  zs<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, 3.699999999999999955591079014993738383054733276367187500000000000000000000000000000000000000000000000);
+  ws<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, 1.159953178612022143701086341067113318247085320992117266262618001908576504625710753138135645536760705);
+  zs<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, 7.899999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, 1.598067606240196984785534680781403865575242180069554020841247076138095065416648450279328891063284787);
+  zs<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, 8.399999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, 1.635986015616761306128656680352102711658504330413761752847915150776296724715125185878789170353595843);
+  zs<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, 8.899999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, 1.672019249364215143714449427934723990551745560176619694762404483433765553308432498126823728454150807);
+  zs<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, 9.399999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, 1.706351956427362203924265356724807963736463682858697517135613748929048683757986880699421428246987716);
+  zs<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, 9.899999999999999911182158029987476766109466552734375000000000000000000000000000000000000000000000000);
+  ws<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, 1.739142551733351601404562031720166836256093578556407891184787967858395290655747464534386031726054901);
+  zs<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, 20.29999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, 2.215253873529547121281024099654049024258898512352506053956048219674735189566735605935868519028886428);
+  zs<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, 20.79999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, 2.232037942848570707824689153745947970289311384094147352193787995777039984911477501437729555943891179);
+  zs<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, 21.29999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, 2.248461062664032810797682669829614177334474567497410976269795770382256291948680343286055598456930946);
+  zs<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, 21.79999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, 2.264538836003641674575766487227130628592151315874095763183468118573707558576164351416415105283538250);
+  zs<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, 22.29999999999999982236431605997495353221893310546875000000000000000000000000000000000000000000000000);
+  ws<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, 2.280285864286149926152034464925849817265625703056626970221292432804223262557041139245862876595960246);
+  zs<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, 45.09999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, 2.784730975471531592298228296023808374578957621993717936291403085791375505867336041880555203144734624);
+  zs<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, 45.59999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, 2.792846418923343663453351656549736190861671652329623509279809945695836105896108078166742811990549890);
+  zs<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, 46.09999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, 2.800879481577357402817907432620737944445117856442267934361375865486347844977822691465905776042660153);
+  zs<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, 46.59999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, 2.808831854396542967901795549912651228215931108039763441789870364477609029775521508274395566200250327);
+  zs<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, 47.09999999999999964472863211994990706443786621093750000000000000000000000000000000000000000000000000);
+  ws<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, 2.816705176341098453894950633365766251645928038203952811501285665902169257597881259137118085186909385);
+  zs<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, 94.69999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, 3.343650750934026694453868349588423323594970057683998463032955783031328100668795635364027627344237744);
+  zs<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, 95.19999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, 3.347704927126314354014952127881909800322435946123852141764728005964807369865451182872647651261526300);
+  zs<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, 95.69999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, 3.351738986777429550093016062864573016038852034507491269297237351947364962103400790753443005963042748);
+  zs<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, 96.19999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, 3.355753131971562146591617562968067128167583310591520027232903513337163599725129242852363808925517286);
+  zs<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, 96.69999999999999928945726423989981412887573242187500000000000000000000000000000000000000000000000000);
+  ws<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, 3.359747561740841558826391853676861600267695314122615815793967179881207925371616384184099572300595115);
+  zs<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, 193.8999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, 3.905067494884853812892253268046191881524005958444131697564696414502793024379297479024372424749155738);
+  zs<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, 194.3999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, 3.907117899842841728838668195110205529083454921828289550856799078486258603076095983089478749398791291);
+  zs<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, 194.8999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, 3.909163256350964853423766659493861241213806026764267552120249985812650869611378163906691630909022161);
+  zs<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, 195.3999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, 3.911203589561939804120818106435026078510094046010650488053868908640181610985462139185885264355418070);
+  zs<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, 195.8999999999999985789145284797996282577514648437500000000000000000000000000000000000000000000000000);
+  ws<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, 3.913238924439855435510247090467540747905833384629853846395096935851013937767959235773727554750691716);
+  zs<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, 392.2999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, 4.473790759373999449370836932900380698603499930598355812583693103082314531706325269694063530407295371);
+  zs<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, 392.7999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, 4.474831809850706594148527116907834093420614735070734923094248837531977152944616462128228522597237267);
+  zs<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, 393.2999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, 4.475871580159411118557716684955449097432917202595361508172914971791116938813457453917365177551691682);
+  zs<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, 393.7999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, 4.476910073482067128895548362807270116617425992201334451790294796151311859601136186866422234634474300);
+  zs<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 394.2999999999999971578290569595992565155029296875000000000000000000000000000000000000000000000000000);
+  ws<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 4.477947292988721649990662195165267393745885698851422229805500000725367834662498733709056508177586635);
+  zs<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 789.0999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 5.051256108760896701894497014701900464234767080894666089938550993707446937559086016796794249885331870);
+  zs<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 789.5999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 5.051784868057603576951613257575983601901987808830448747962646970040648657993520282283444052127887316);
+  zs<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 790.0999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 5.052313301769511279751645919401950992205691275454166720959640667514665636089541176437079485020106302);
+  zs<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 790.5999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 5.052841410301356078567942312344300154667895407100576839086958094315459736887113324816418833061471414);
+  zs<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 791.0999999999999943156581139191985130310058593750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 5.053369194057116916125095352093384287199494222654442252497641737159855576046108292479434106853949424);
+  zs<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 1582.699999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 5.637454835061548840266762838608075961241621341710147974330149448636747596037634477093772466715414237);
+  zs<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 1583.199999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 5.637723113558296965227371679987485292172631743514584329014143690566703873701821724552724491259434917);
+  zs<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 1583.699999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 5.637991309264171414360659662528863849150184273111159470910102371892495978961903358821307687677635837);
+  zs<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 1584.199999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 5.638259422230692585112176850810679719906543165397130936013277468573934642794738015313302920143170105);
+  zs<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 1584.699999999999988631316227838397026062011718750000000000000000000000000000000000000000000000000000);
+  ws<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 5.638527452509332631758526797455952459448323578747282813479742362912515476029842704193513987433394644);
+  zs<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 3169.899999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 6.231791473267630119617879242959215790063493036893226016268939602113573649847295482162112707750032205);
+  zs<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 3170.399999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 6.231927385287213295870608336780291881793156334477048126729390997875392137109426481813143445559537548);
+  zs<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 3170.899999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 6.232063276283731898910298571907046320310117335045161587714712693774590117520030116772150624981197754);
+  zs<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 3171.399999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 6.232199146263736642645449823754129665166787360756180379390602947566154676495717638352300033758537319);
+  zs<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 3171.899999999999977262632455676794052124023437500000000000000000000000000000000000000000000000000000);
+  ws<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 6.232334995233775170638824027293638315162522524016381054824777727129130712726670908695639061242466679);
+  zs<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 6344.299999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 6.833478246863882246641726870717734354293613258312600642204509694006101911629409462573891987188902394);
+  zs<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 6344.799999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 6.833546994320183648585668463184962739224514055009742694319567301283431438840148992714833003589320204);
+  zs<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 6345.299999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 6.833615736447355580644330241871199203480309206612453771835338393474744796397760691906867357518286300);
+  zs<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 6345.799999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 6.833684473246229472880513750644790479773339419112019177698673979527062571403548057152859520971070532);
+  zs<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 6346.299999999999954525264911353588104248046875000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 6.833753204717636560302304979968870884092145760178319785601850619423465965447586003582575169154068642);
+  zs<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 12693.09999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 7.441712782644182656362567954733218054310136462342348107691598780010100425506115311857309428345451583);
+  zs<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 12693.59999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 7.441747507160214264985418199644937473985616288224663570878672057496608603535012780430207292902251849);
+  zs<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 12694.09999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 7.441782230327669457854270012077867036991216446419568353636383337201042455550854674638301527917381460);
+  zs<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 12694.59999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 7.441816952146653566134582734750438863756337927374408689634478920961001428844890048307273438220285103);
+  zs<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 12695.09999999999990905052982270717620849609375000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 7.441851672617271908624631672809964354572668086864496527202255560220860635169893350319392062176172956);
+  zs<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 25390.69999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 8.055751887730669404078767770906158058132806188168812278807914210510560983286915475256358360988722249);
+  zs<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 25391.19999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 8.055769405252722224984585767512155671001638813031160420183226603705765994004819084590112882738598672);
+  zs<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 25391.69999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 8.055786922434032119761416627590837471869427434519755833207927697913643222261584517182449368833198187);
+  zs<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 25392.19999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 8.055804439274612409649066171031328348764224415259811919589560542548689157122598047317682477881428519);
+  zs<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 25392.69999999999981810105964541435241699218750000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 8.055821955774476415104661363464701307020928082642356236080373490396966544402792637267897239283500728);
+  zs<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 50785.89999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 8.674936078635983017984123951954366186973716699495736629864279614242284857757227515949355498579742855);
+  zs<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 50786.39999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 8.674944906241453706059825549964349902974004039927040359264744515026031399261972506772892769382818801);
+  zs<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 50786.89999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 8.674953733760944136535950689333928914142360745655931032041490757092023706394578714640748394257288035);
+  zs<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 50787.39999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 8.674962561194455991628227539852952953077017660325256919933499525371091080399080487843972214866128384);
+  zs<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 50787.89999999999963620211929082870483398437500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 8.674971388541990953502931535257895802702731784533955912147060505216027254503478909260086842672435376);
+  zs<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 101576.2999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 9.298691796027940703796635264110043143787629375260023629778966472817740701497549236671005785312535137);
+  zs<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 101576.7999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 9.298696240460783074349599408079465706595862952879886273836096426172349132276424038993850275528909958);
+  zs<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 101577.2999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 9.298700684871954559132336105768526810554925567844384854912235341295989207897852971537611849804454104);
+  zs<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 101577.7999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 9.298705129261455370304348674457005008539407510001142864340543902043967324875967473097043636378431136);
+  zs<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 101578.2999999999992724042385816574096679687500000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 9.298709573629285720022020159137488905547397121761906103664298171650800509043504137427221381746219971);
+  zs<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 203157.0999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 9.926524439637924502814640096432844232405010548632138451412344878257773957471037720806722776924379539);
+  zs<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 203157.5999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 9.926526675539305999408212665862555525393765588240345090590079743764108100617622492751979808963302929);
+  zs<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 203158.0999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 9.926528911435230720557328431324006644047736665798752128461117587165401958858923779103702189649205849);
+  zs<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 203158.5999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 9.926531147325698692990351270769682423599587366983008197322280565618502972980495987784743296088232692);
+  zs<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 203159.0999999999985448084771633148193359375000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 9.926533383210709943435448417027560593313394713874207050608325275972416603539435687443617960861779968);
+  zs<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 406318.6999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 10.55800844020678300858930169345380918056498196515847559789815847210932705985905912177836375627483410);
+  zs<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 406319.1999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 10.55800956429896255310197650482898317196991260081559124902272662470413320348092630336068243562420612);
+  zs<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 406319.6999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 10.55801068838976919073174818917086439876248092007955187694896892558084843931726958729264479171526918);
+  zs<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 406320.1999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 10.55801181247920292484283725870748463023358051483533901203380901404123382789184489956279108152225757);
+  zs<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 406320.6999999999970896169543266296386718750000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 10.55801293656726375879945184504060224737500313478807503007007909767698116683614226527139047633989602);
+  zs<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 812641.8999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 11.19277715105303335957380751089185510982783382888615163475399731608447432939046539739780186010205819);
+  zs<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 812642.3999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 11.19277771586759068427927907791232978730718798905802091714667366555094578546313245757715733663116681);
+  zs<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 812642.8999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 11.19277828068180282941234300813602678219028255437023366225732009891673392268727353365317316060216307);
+  zs<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 812643.3999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 11.19277884549566979539611569279587635086022997209586259427933274111486838234969448101548392041897529);
+  zs<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 812643.8999999999941792339086532592773437500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 11.19277941030919158265371274430325256214137887195738215091099754333691681726015244339566835725917388);
+  zs<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 1625288.299999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 11.83051367496350653298055098412234220179378826002120373759410524883137483448021534372309124250280047);
+  zs<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 1625288.799999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 11.83051395862415209457082318977971516657969184941726425523617075901029866766828046681793457310563883);
+  zs<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 1625289.299999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 11.83051424228471092157568395260197960555928287686416745291625975894259102434581858031780382895984480);
+  zs<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 1625289.799999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 11.83051452594518301404831336917713066668156156528094910312372347647232811359765848597839160347350790);
+  zs<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 1625290.299999999988358467817306518554687500000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 11.83051480960556837204189148713503938528677530351797077101569714537002853052165595070586086051268476);
+  zs<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 3250581.099999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 12.47094296296818886963926120402441135953658337315101944303084986533714570937576415675358344893956724);
+  zs<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 3250581.599999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 12.47094310536827791354684005276581162972597260940308218544073416384666193653508004167640448380153389);
+  zs<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 3250582.099999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 12.47094324776834517437426924689730750513918775389042001111365883776867938003401942562632403665303867);
+  zs<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 3250582.599999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 12.47094339016839065212822905567651460418204106065566910956134121802725695306834966790193342511971825);
+  zs<RealType>[100] = BOOST_MATH_TEST_VALUE(RealType, 3250583.099999999976716935634613037109375000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[100] = BOOST_MATH_TEST_VALUE(RealType, 12.47094353256841434681539974528531469757660901993281429423438578866652694560046559516127568892277702);
+  zs<RealType>[101] = BOOST_MATH_TEST_VALUE(RealType, 6501166.699999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[101] = BOOST_MATH_TEST_VALUE(RealType, 13.11382518009820116753812472043031659983277915902361747977758246698818963218870351102587174635468138);
+  zs<RealType>[102] = BOOST_MATH_TEST_VALUE(RealType, 6501167.199999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[102] = BOOST_MATH_TEST_VALUE(RealType, 13.11382525155825542039438232302300244148043560690215658478061719482590950005701713995387903749679862);
+  zs<RealType>[103] = BOOST_MATH_TEST_VALUE(RealType, 6501167.699999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[103] = BOOST_MATH_TEST_VALUE(RealType, 13.11382532301830420490055394669714665225378812412907655382308789130810346826183238238494205026247934);
+  zs<RealType>[104] = BOOST_MATH_TEST_VALUE(RealType, 6501168.199999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[104] = BOOST_MATH_TEST_VALUE(RealType, 13.11382539447834752105747833428094533284492363009218919720913636223924531666313533113069940376003390);
+  zs<RealType>[105] = BOOST_MATH_TEST_VALUE(RealType, 6501168.699999999953433871269226074218750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[105] = BOOST_MATH_TEST_VALUE(RealType, 13.11382546593838536886599422840946554656689837543146085874754543863703505630372640720269904462657597);
+  zs<RealType>[106] = BOOST_MATH_TEST_VALUE(RealType, 13002337.89999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[106] = BOOST_MATH_TEST_VALUE(RealType, 13.75895020161120780671931348674820949097896740529525960699598966308825998645623474235280989608207426);
+  zs<RealType>[107] = BOOST_MATH_TEST_VALUE(RealType, 13002338.39999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[107] = BOOST_MATH_TEST_VALUE(RealType, 13.75895023746031789528316024226987524061812679192459530422102497447151229457148397431817422821296573);
+  zs<RealType>[108] = BOOST_MATH_TEST_VALUE(RealType, 13002338.89999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[108] = BOOST_MATH_TEST_VALUE(RealType, 13.75895027330942661161180008030275959022186764318551714315248259172940117391346074981407903526666876);
+  zs<RealType>[109] = BOOST_MATH_TEST_VALUE(RealType, 13002339.39999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[109] = BOOST_MATH_TEST_VALUE(RealType, 13.75895030915853395570533826541548036105186387000942779022045956615233350302797407587096919814230872);
+  zs<RealType>[110] = BOOST_MATH_TEST_VALUE(RealType, 13002339.89999999990686774253845214843750000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[110] = BOOST_MATH_TEST_VALUE(RealType, 13.75895034500763992756388006216453398588380356491793568993934227427809822610433476168943506890083264);
+  zs<RealType>[111] = BOOST_MATH_TEST_VALUE(RealType, 26004680.29999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[111] = BOOST_MATH_TEST_VALUE(RealType, 14.40613306792050284417781173963237397180782490395810703112834440216893801894568593170935318229410890);
+  zs<RealType>[112] = BOOST_MATH_TEST_VALUE(RealType, 26004680.79999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[112] = BOOST_MATH_TEST_VALUE(RealType, 14.40613308589978129513196522846261186416164678471600282263899627087138088581441641199768735966026721);
+  zs<RealType>[113] = BOOST_MATH_TEST_VALUE(RealType, 26004681.29999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[113] = BOOST_MATH_TEST_VALUE(RealType, 14.40613310387905940184947896220802688669394773806882218972392634458869861468933663343960564575146049);
+  zs<RealType>[114] = BOOST_MATH_TEST_VALUE(RealType, 26004681.79999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[114] = BOOST_MATH_TEST_VALUE(RealType, 14.40613312185833716433036614707023490965167453502978925783310059180078511451175950772072935073580417);
+  zs<RealType>[115] = BOOST_MATH_TEST_VALUE(RealType, 26004682.29999999981373548507690429687500000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[115] = BOOST_MATH_TEST_VALUE(RealType, 14.40613313983761458257463998925009132119130606601627537868443064669880766892972378195587657468067971);
+  zs<RealType>[116] = BOOST_MATH_TEST_VALUE(RealType, 52009365.09999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[116] = BOOST_MATH_TEST_VALUE(RealType, 15.05521023228726997012482201156518637282193264830919527945406914876568997920242700346221079695380120);
+  zs<RealType>[117] = BOOST_MATH_TEST_VALUE(RealType, 52009365.59999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[117] = BOOST_MATH_TEST_VALUE(RealType, 15.05521024130213601448008511719004686304317399587148372739532783438679535880037848363163034299000680);
+  zs<RealType>[118] = BOOST_MATH_TEST_VALUE(RealType, 52009366.09999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[118] = BOOST_MATH_TEST_VALUE(RealType, 15.05521025031700197250576749203130491372164140425152090159289103953022449076855552216703380049236381);
+  zs<RealType>[119] = BOOST_MATH_TEST_VALUE(RealType, 52009366.59999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[119] = BOOST_MATH_TEST_VALUE(RealType, 15.05521025933186784420187079237695573264884951878394949291027777307830551044730470942903907859985247);
+  zs<RealType>[120] = BOOST_MATH_TEST_VALUE(RealType, 52009367.09999999962747097015380859375000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[120] = BOOST_MATH_TEST_VALUE(RealType, 15.05521026834673362956839667451494683193779819588967935304969871800597790007309597120010839282494067);
+  zs<RealType>[121] = BOOST_MATH_TEST_VALUE(RealType, 104018734.6999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[121] = BOOST_MATH_TEST_VALUE(RealType, 15.70603645611954384988565703849374122026373428508755081783343271665282590664826044624943527766443724);
+  zs<RealType>[122] = BOOST_MATH_TEST_VALUE(RealType, 104018735.1999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[122] = BOOST_MATH_TEST_VALUE(RealType, 15.70603646063864032656975241668975461127107196165116494804371210729046808944447344810561150619338235);
+  zs<RealType>[123] = BOOST_MATH_TEST_VALUE(RealType, 104018735.6999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[123] = BOOST_MATH_TEST_VALUE(RealType, 15.70603646515773678160916860265187423935628996612114399500020977395299556819648453302891654761783891);
+  zs<RealType>[124] = BOOST_MATH_TEST_VALUE(RealType, 104018736.1999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[124] = BOOST_MATH_TEST_VALUE(RealType, 15.70603646967683321500390580404963095388245044851589624040628425347772179453119739096056755672581358);
+  zs<RealType>[125] = BOOST_MATH_TEST_VALUE(RealType, 104018736.6999999992549419403076171875000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[125] = BOOST_MATH_TEST_VALUE(RealType, 15.70603647419592962675396422855255261373445463144900248624737121930916887983366690742461452872492017);
+  zs<RealType>[126] = BOOST_MATH_TEST_VALUE(RealType, 208037473.8999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[126] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223073077299062251727505489121683259009838940921798588655999804611259258002812224135777088225);
+  zs<RealType>[127] = BOOST_MATH_TEST_VALUE(RealType, 208037474.3999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[127] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223299572857263748180340545017346327532474491820120184954137107185953921166019993001720173076);
+  zs<RealType>[128] = BOOST_MATH_TEST_VALUE(RealType, 208037474.8999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[128] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223526068414922688843525885798316030222323873469187325647317943052465221773791004107044449214);
+  zs<RealType>[129] = BOOST_MATH_TEST_VALUE(RealType, 208037475.3999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[129] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223752563972039073719664683805774368875669934675288398977599557153297961083834670781371769393);
+  zs<RealType>[130] = BOOST_MATH_TEST_VALUE(RealType, 208037475.8999999985098838806152343750000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[130] = BOOST_MATH_TEST_VALUE(RealType, 16.35848223979059528612902811360111362158185991940560941697071272367978154194499902342370856607708754);
+  zs<RealType>[131] = BOOST_MATH_TEST_VALUE(RealType, 416074952.2999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[131] = BOOST_MATH_TEST_VALUE(RealType, 17.01243162682130034575873110256608416240774650633244657569787078893008324146198524461655542099298038);
+  zs<RealType>[132] = BOOST_MATH_TEST_VALUE(RealType, 416074952.7999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[132] = BOOST_MATH_TEST_VALUE(RealType, 17.01243162795629150708082853641104106051019632512982699681254455598867301594442867945136512864263362);
+  zs<RealType>[133] = BOOST_MATH_TEST_VALUE(RealType, 416074953.2999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[133] = BOOST_MATH_TEST_VALUE(RealType, 17.01243162909128266704320348800926473937585791237790855606445141461836852095077452961626092636714582);
+  zs<RealType>[134] = BOOST_MATH_TEST_VALUE(RealType, 416074953.7999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[134] = BOOST_MATH_TEST_VALUE(RealType, 17.01243163022627382564585596062316405185836375654028401358545369509940490853717120734831332950839378);
+  zs<RealType>[135] = BOOST_MATH_TEST_VALUE(RealType, 416074954.2999999970197677612304687500000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[135] = BOOST_MATH_TEST_VALUE(RealType, 17.01243163136126498288878595751514783906405969399381198927824453551799680870112429531524827406849599);
+  zs<RealType>[136] = BOOST_MATH_TEST_VALUE(RealType, 832149909.0999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[136] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049214031531812887566464334167360339296689778348663603985291368769599603595003791335301847127);
+  zs<RealType>[137] = BOOST_MATH_TEST_VALUE(RealType, 832149909.5999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[137] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049270898194728430180770507660352501688482825963526508387721596470881802640086432444438183220);
+  zs<RealType>[138] = BOOST_MATH_TEST_VALUE(RealType, 832149910.0999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[138] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049327764857609902322798165858268194375878492382051153135096018706001421025620618302837247343);
+  zs<RealType>[139] = BOOST_MATH_TEST_VALUE(RealType, 832149910.5999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[139] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049384631520457303992588186753608991034689224716778630078855718157314806355505907287211879952);
+  zs<RealType>[140] = BOOST_MATH_TEST_VALUE(RealType, 832149911.0999999940395355224609375000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[140] = BOOST_MATH_TEST_VALUE(RealType, 17.66778049441498183270635190181448338802862077472029294388350982070482138347224074032285443619695132);
+  zs<RealType>[141] = BOOST_MATH_TEST_VALUE(RealType, 1664299822.699999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[141] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493355098619384682217293063408860906200997313752841900524481309067580120995737616551816092439);
+  zs<RealType>[142] = BOOST_MATH_TEST_VALUE(RealType, 1664299823.199999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[142] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493383586636729058593564510700968056859723407482295764411091295912034128445270765389474245827);
+  zs<RealType>[143] = BOOST_MATH_TEST_VALUE(RealType, 1664299823.699999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[143] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493412074654064899329117538024263559388031556198852503241876369903917896474239140595505063322);
+  zs<RealType>[144] = BOOST_MATH_TEST_VALUE(RealType, 1664299824.199999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[144] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493440562671392204423957266503795757499599462266552348787036107193130165331139452279532396827);
+  zs<RealType>[145] = BOOST_MATH_TEST_VALUE(RealType, 1664299824.699999988079071044921875000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[145] = BOOST_MATH_TEST_VALUE(RealType, 18.32443493469050688710973878088817264608384098178071957390837672366993756271957964256600743216105241);
+  zs<RealType>[146] = BOOST_MATH_TEST_VALUE(RealType, 3328599649.899999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[146] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003239481891260092191504387611307556374245363459040509191182476364522292852639675828304549626);
+  zs<RealType>[147] = BOOST_MATH_TEST_VALUE(RealType, 3328599650.399999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[147] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003253751491629227276099735868489913807533078209230206170806009818301507483588395812018180071);
+  zs<RealType>[148] = BOOST_MATH_TEST_VALUE(RealType, 3328599650.899999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[148] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003268021091996224244869947622441697585814089764491702992369913535253679093973930949506347048);
+  zs<RealType>[149] = BOOST_MATH_TEST_VALUE(RealType, 3328599651.399999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[149] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003282290692361083097815664339084466388779045270504033488281798754360146784756669433227860478);
+  zs<RealType>[150] = BOOST_MATH_TEST_VALUE(RealType, 3328599651.899999976158142089843750000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[150] = BOOST_MATH_TEST_VALUE(RealType, 18.98231003296560292723803834937527484339490103369072191109295056853780039115858285449484374166727442);
+  zs<RealType>[151] = BOOST_MATH_TEST_VALUE(RealType, 6657199304.299999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[151] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875213179003616975291758951989874401990433758371552185122694920942525627888352145273462707829);
+  zs<RealType>[152] = BOOST_MATH_TEST_VALUE(RealType, 6657199304.799999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[152] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875220325804117690436378168767212426802746287406741611709213764258286377104459764498688864645);
+  zs<RealType>[153] = BOOST_MATH_TEST_VALUE(RealType, 6657199305.299999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[153] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875227472604617870068525483911300930564165365547681598983747537164183343994434536282821758671);
+  zs<RealType>[154] = BOOST_MATH_TEST_VALUE(RealType, 6657199305.799999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[154] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875234619405117514188200977760121223842398566254787219879319150457646967224084449244020129346);
+  zs<RealType>[155] = BOOST_MATH_TEST_VALUE(RealType, 6657199306.299999952316284179687500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[155] = BOOST_MATH_TEST_VALUE(RealType, 19.64132875241766205616622795404730651654599119614988454540132958996734683240549999645255105620924194);
+  zs<RealType>[156] = BOOST_MATH_TEST_VALUE(RealType, 13314398613.09999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[156] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100521655914391255442878301089651369196196103134174539854119020213383927831733183603430177342);
+  zs<RealType>[157] = BOOST_MATH_TEST_VALUE(RealType, 13314398613.59999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[157] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100525234952404035395706360529741527156245298468796715007831095483401537550300887615324478886);
+  zs<RealType>[158] = BOOST_MATH_TEST_VALUE(RealType, 13314398614.09999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[158] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100528813990416681239948722494340433727853716710673987742922492342629617928698493424484032660);
+  zs<RealType>[159] = BOOST_MATH_TEST_VALUE(RealType, 13314398614.59999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[159] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100532393028429192975605397043801464163741054316603439612006945607064743419379856370010506017);
+  zs<RealType>[160] = BOOST_MATH_TEST_VALUE(RealType, 13314398615.09999990463256835937500000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[160] = BOOST_MATH_TEST_VALUE(RealType, 20.30142100535972066441570602676394238477992584177232532005791683216204582260476049842371709123221255);
+  zs<RealType>[161] = BOOST_MATH_TEST_VALUE(RealType, 26628797230.69999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[161] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285249100030290397518601237584604981130278135272151318314970663709603528431386852754379112730);
+  zs<RealType>[162] = BOOST_MATH_TEST_VALUE(RealType, 26628797231.19999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[162] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285250892202655550269280724503656839238502424605070290458403293889858635506895301235328962628);
+  zs<RealType>[163] = BOOST_MATH_TEST_VALUE(RealType, 26628797231.69999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[163] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285252684375020669438704809175058008607738171622380516384350651954854873527952764745960194675);
+  zs<RealType>[164] = BOOST_MATH_TEST_VALUE(RealType, 26628797232.19999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[164] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285254476547385755026873492858475358446577888309438244123935827841754860782205245677270931493);
+  zs<RealType>[165] = BOOST_MATH_TEST_VALUE(RealType, 26628797232.69999980926513671875000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[165] = BOOST_MATH_TEST_VALUE(RealType, 20.96252285256268719750807033786776813575757892712773332275219858225617530315647886304839621190128467);
+  zs<RealType>[166] = BOOST_MATH_TEST_VALUE(RealType, 53257594465.89999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[166] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581338519341205251851678920458391270655214844894715960888032707282421057623183584027330480633);
+  zs<RealType>[167] = BOOST_MATH_TEST_VALUE(RealType, 53257594466.39999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[167] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581339416678276021956345172476031736610096020431411495093672867810851785199503170153825356689);
+  zs<RealType>[168] = BOOST_MATH_TEST_VALUE(RealType, 53257594466.89999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[168] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581340314015346783652970955706237153204994825959199820337645288096708677451415833137778699486);
+  zs<RealType>[169] = BOOST_MATH_TEST_VALUE(RealType, 53257594467.39999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[169] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581341211352417536941556270306715209214940104899493615505349319261368609864010882236880736924);
+  zs<RealType>[170] = BOOST_MATH_TEST_VALUE(RealType, 53257594467.89999961853027343750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[170] = BOOST_MATH_TEST_VALUE(RealType, 21.62457581342108689488281822101116435173593410522139124663366619300728455522058827136186640157150006);
+  zs<RealType>[171] = BOOST_MATH_TEST_VALUE(RealType, 106515188936.2999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[171] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626920637793567947968920002916518604504482941952960611736969307899126632949710731838314939535);
+  zs<RealType>[172] = BOOST_MATH_TEST_VALUE(RealType, 106515188936.7999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[172] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626921087052760828375602269251105477904207815836374209426134525952488796027799984818720270105);
+  zs<RealType>[173] = BOOST_MATH_TEST_VALUE(RealType, 106515188937.2999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[173] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626921536311953706677275954356032288516798309826935596847224545105365234647336923162745148650);
+  zs<RealType>[174] = BOOST_MATH_TEST_VALUE(RealType, 106515188937.7999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[174] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626921985571146582873941058251041835477955178166028729368533877454281235062918122417686844554);
+  zs<RealType>[175] = BOOST_MATH_TEST_VALUE(RealType, 106515188938.2999992370605468750000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[175] = BOOST_MATH_TEST_VALUE(RealType, 22.28752626922434830339456965597580955876917923101340004236523230885349136854795158825395309771408668);
+  zs<RealType>[176] = BOOST_MATH_TEST_VALUE(RealType, 213030377877.0999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[176] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498044370189057193061229322652798069141485425830911821689634860387911575520267236257752886);
+  zs<RealType>[177] = BOOST_MATH_TEST_VALUE(RealType, 213030377877.5999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[177] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498269279111869452328160161214112251666554529993600600683165630516488115832469896181046045);
+  zs<RealType>[178] = BOOST_MATH_TEST_VALUE(RealType, 213030377878.0999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[178] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498494188034681184635345858036581911693953330207290531058251991996389235617064799550256701);
+  zs<RealType>[179] = BOOST_MATH_TEST_VALUE(RealType, 213030377878.5999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[179] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498719096957492389982786415591514868991446226878757600605585200116652511909077437303220322);
+  zs<RealType>[180] = BOOST_MATH_TEST_VALUE(RealType, 213030377879.0999984741210937500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[180] = BOOST_MATH_TEST_VALUE(RealType, 22.95132494498944005880303068370481836350218943309407900398512057690019248825245765368449728229683978);
+  zs<RealType>[181] = BOOST_MATH_TEST_VALUE(RealType, 426060755758.6999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[181] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786617198666287725520753845230512592375445890316693635014712570198963226722376898746719788);
+  zs<RealType>[182] = BOOST_MATH_TEST_VALUE(RealType, 426060755759.1999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[182] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786729785413748555882136649105347335405111452573107829620408251494572350634646372518383704);
+  zs<RealType>[183] = BOOST_MATH_TEST_VALUE(RealType, 426060755759.6999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[183] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786842372161209254336341886225886040142987940947830085760720112665756558438930745003988259);
+  zs<RealType>[184] = BOOST_MATH_TEST_VALUE(RealType, 426060755760.1999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[184] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645786954958908669820883369556901450401232685427846511608592597720877347644103130699500020980);
+  zs<RealType>[185] = BOOST_MATH_TEST_VALUE(RealType, 426060755760.6999969482421875000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[185] = BOOST_MATH_TEST_VALUE(RealType, 23.61592645787067545656130255523219661441362113316725652002816962722163580709685521423287347532232663);
+  zs<RealType>[186] = BOOST_MATH_TEST_VALUE(RealType, 852121511521.8999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[186] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222268328128985001144764937331876138884560895942339750264590092000743925470556345687342935);
+  zs<RealType>[187] = BOOST_MATH_TEST_VALUE(RealType, 852121511522.3999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[187] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222324684237927811409049669410007439237129556446372910358198486719174460302964062617263997);
+  zs<RealType>[188] = BOOST_MATH_TEST_VALUE(RealType, 852121511522.8999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[188] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222381040346870588656954830537234790758650044870333521914480895767426200215549894604462944);
+  zs<RealType>[189] = BOOST_MATH_TEST_VALUE(RealType, 852121511523.3999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[189] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222437396455813332888480420752271669125958665876145325130479060260809395708493929658437074);
+  zs<RealType>[190] = BOOST_MATH_TEST_VALUE(RealType, 852121511523.8999938964843750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[190] = BOOST_MATH_TEST_VALUE(RealType, 24.28128892222493752564756044103626440093831550015823616066865071071416085939189362440560522437633662);
+  zs<RealType>[191] = BOOST_MATH_TEST_VALUE(RealType, 1704243023048.299987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[191] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360307934242599198887438952878908310927656184464570761925753018240286868931047379101991192915);
+  zs<RealType>[192] = BOOST_MATH_TEST_VALUE(RealType, 1704243023048.799987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[192] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360307962450443999814141844483539218897580562586948087460916859526796854661158129821949554554);
+  zs<RealType>[193] = BOOST_MATH_TEST_VALUE(RealType, 1704243023049.299987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[193] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360307990658288800732581258578292473970863909517564631259029126397702972526621236324413898654);
+  zs<RealType>[194] = BOOST_MATH_TEST_VALUE(RealType, 1704243023049.799987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[194] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360308018866133601642757195163172921046426642186059476077116782502974396487792107071563852968);
+  zs<RealType>[195] = BOOST_MATH_TEST_VALUE(RealType, 1704243023050.299987792968750000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[195] = BOOST_MATH_TEST_VALUE(RealType, 24.94737360308047073978402544669654238185405023189173260158888945690205253434326923773189194023738864);
+  zs<RealType>[196] = BOOST_MATH_TEST_VALUE(RealType, 3408486046101.099975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[196] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111548947260493867878972043152010342814420318471604738869697286844100478961752318507519036);
+  zs<RealType>[197] = BOOST_MATH_TEST_VALUE(RealType, 3408486046101.599975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[197] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111563065346677642310736687968026218525976239525273457263820521539063299775063487387395491);
+  zs<RealType>[198] = BOOST_MATH_TEST_VALUE(RealType, 3408486046102.099975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[198] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111577183432861414674405116970646776101208949311878694889082271860331380169436692589290008);
+  zs<RealType>[199] = BOOST_MATH_TEST_VALUE(RealType, 3408486046102.599975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[199] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111591301519045184969977330160478305423319389187668123911964696321646253276250725578473047);
+  zs<RealType>[200] = BOOST_MATH_TEST_VALUE(RealType, 3408486046103.099975585937500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[200] = BOOST_MATH_TEST_VALUE(RealType, 25.61414461111605419605228953197453327538127096375508233833690347792194785120108760652931053928666785);
+  zs<RealType>[201] = BOOST_MATH_TEST_VALUE(RealType, 6816972092206.699951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[201] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336777149103602875189240858590017172273907420428241974657782598001971183829692697893931030);
+  zs<RealType>[202] = BOOST_MATH_TEST_VALUE(RealType, 6816972092207.199951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[202] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336784214888845714766036358708919247411311945160997461946071687776487761293647943181961882);
+  zs<RealType>[203] = BOOST_MATH_TEST_VALUE(RealType, 6816972092207.699951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[203] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336791280674088553825278629338313564287800253072882363885000489322789589683564459399860775);
+  zs<RealType>[204] = BOOST_MATH_TEST_VALUE(RealType, 6816972092208.199951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[204] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336798346459331392366967670478275989571118963232699709422043712865525671390927105068828991);
+  zs<RealType>[205] = BOOST_MATH_TEST_VALUE(RealType, 6816972092208.699951171875000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[205] = BOOST_MATH_TEST_VALUE(RealType, 26.28156863336805412244574230391103482128882389929014678023920695547828528484685657699485259769208741);
+  zs<RealType>[206] = BOOST_MATH_TEST_VALUE(RealType, 13633944184417.89990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[206] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479482406519801256975073261795345435020419867463744516732345674294492529228061805959732327);
+  zs<RealType>[207] = BOOST_MATH_TEST_VALUE(RealType, 13633944184418.39990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[207] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479485942625415366326146401152634296784764225669862897123975110273521017330868675363150448);
+  zs<RealType>[208] = BOOST_MATH_TEST_VALUE(RealType, 13633944184418.89990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[208] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479489478731029475547705331300159611152098923590641458690234001429707091782045185453438171);
+  zs<RealType>[209] = BOOST_MATH_TEST_VALUE(RealType, 13633944184419.39990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[209] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479493014836643584639750052237930871016343368359473040533580595453533790563068986805724019);
+  zs<RealType>[210] = BOOST_MATH_TEST_VALUE(RealType, 13633944184419.89990234375000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[210] = BOOST_MATH_TEST_VALUE(RealType, 26.94961469479496550942257693602280563965957569271416966065840246264353271487273203593602827136860754);
+  zs<RealType>[211] = BOOST_MATH_TEST_VALUE(RealType, 27267888368840.29980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[211] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658132365321120256576467284757880630504909781214698429280000692432972722344046738139460516);
+  zs<RealType>[212] = BOOST_MATH_TEST_VALUE(RealType, 27267888368840.79980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[212] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658134134906748186542924183870772699960645627424489223278978300139646551878816289033156892);
+  zs<RealType>[213] = BOOST_MATH_TEST_VALUE(RealType, 27267888368841.29980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[213] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658135904492376116476972541669907157102168356799570843777496579434166012376207829201011287);
+  zs<RealType>[214] = BOOST_MATH_TEST_VALUE(RealType, 27267888368841.79980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[214] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658137674078004046378612358155285189678948212439453829367032310042341489097274555293104964);
+  zs<RealType>[215] = BOOST_MATH_TEST_VALUE(RealType, 27267888368842.29980468750000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[215] = BOOST_MATH_TEST_VALUE(RealType, 27.61825394658139443663631976247843633326907985440455437378340280356184152787821056110486626668344188);
+  zs<RealType>[216] = BOOST_MATH_TEST_VALUE(RealType, 54535776737685.09960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[216] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768658520727223095526336163825405277084208702812195528505679434221769385747727596125338626);
+  zs<RealType>[217] = BOOST_MATH_TEST_VALUE(RealType, 54535776737685.59960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[217] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768659406252057469058839388454672293394318546730557386127002114050381424035876354103192624);
+  zs<RealType>[218] = BOOST_MATH_TEST_VALUE(RealType, 54535776737686.09960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[218] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768660291776891842583233326734639195028174391562886488418853280961627679416432912568037643);
+  zs<RealType>[219] = BOOST_MATH_TEST_VALUE(RealType, 54535776737686.59960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[219] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768661177301726216099517978665306130590007248679624798101760603565428399982488746458503134);
+  zs<RealType>[220] = BOOST_MATH_TEST_VALUE(RealType, 54535776737687.09960937500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[220] = BOOST_MATH_TEST_VALUE(RealType, 28.28745947768662062826560589607693344246673248684048129447128687164847423418296378412381527867603611);
+  zs<RealType>[221] = BOOST_MATH_TEST_VALUE(RealType, 109071553475374.6992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[221] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666117150245004622760057983418314410522200232704276775862146736266761022246497551058785007);
+  zs<RealType>[222] = BOOST_MATH_TEST_VALUE(RealType, 109071553475375.1992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[222] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666117593357355743548739761689791124679984859813361369105181180764744313352061153147051630);
+  zs<RealType>[223] = BOOST_MATH_TEST_VALUE(RealType, 109071553475375.6992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[223] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666118036469706864335392511390934879372874136387705864492100434790697368864211343956938842);
+  zs<RealType>[224] = BOOST_MATH_TEST_VALUE(RealType, 109071553475376.1992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[224] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666118479582057985120016232521745693192563248069260165217440327859683071396461341530343065);
+  zs<RealType>[225] = BOOST_MATH_TEST_VALUE(RealType, 109071553475376.6992187500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[225] = BOOST_MATH_TEST_VALUE(RealType, 28.95720614666118922694409105902610925082223584730747380499718597765232850574002390696473010380772407);
+  zs<RealType>[226] = BOOST_MATH_TEST_VALUE(RealType, 218143106950753.8984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[226] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774188445791042660254784305836995418567274505820949514291909017768623167600827442630858);
+  zs<RealType>[227] = BOOST_MATH_TEST_VALUE(RealType, 218143106950754.3984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[227] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774410169407734916144601996690190995667210727468326746331358762853812415838063247614151);
+  zs<RealType>[228] = BOOST_MATH_TEST_VALUE(RealType, 218143106950754.8984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[228] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774631893024427171526754670674911118564686113352807043233143508066106374847716587931185);
+  zs<RealType>[229] = BOOST_MATH_TEST_VALUE(RealType, 218143106950755.3984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[229] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118774853616641119426401242327791158113151699337805013921071479703774514043229472570138003);
+  zs<RealType>[230] = BOOST_MATH_TEST_VALUE(RealType, 218143106950755.8984375000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[230] = BOOST_MATH_TEST_VALUE(RealType, 29.62747043118775075340257811680768064968038934305320249075139583789870247295334960013555124352240919);
+  zs<RealType>[231] = BOOST_MATH_TEST_VALUE(RealType, 436286213901512.2968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[231] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507210180178060183512748657385641403633979025174401415202721913219462712200443246592017);
+  zs<RealType>[232] = BOOST_MATH_TEST_VALUE(RealType, 436286213901512.7968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[232] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507321122179075661323950744341840810124864190846957886463039301370908060223378776053761);
+  zs<RealType>[233] = BOOST_MATH_TEST_VALUE(RealType, 436286213901513.2968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[233] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507432064180091139008139023924952729670215908087118481612362461688278748768609693129214);
+  zs<RealType>[234] = BOOST_MATH_TEST_VALUE(RealType, 436286213901513.7968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[234] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507543006181106616565313496134977453237197516164536262012622641950793744512740976903471);
+  zs<RealType>[235] = BOOST_MATH_TEST_VALUE(RealType, 436286213901514.2968750000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[235] = BOOST_MATH_TEST_VALUE(RealType, 30.29823029316507653948182122093995474160971915271792972354347864284901025700020408100899889264653839);
+  zs<RealType>[236] = BOOST_MATH_TEST_VALUE(RealType, 872572427803029.0937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[236] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926454870573870105381204121080031682700579571979417608023815834802026646642551756529303);
+  zs<RealType>[237] = BOOST_MATH_TEST_VALUE(RealType, 872572427803029.5937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[237] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926510380014769927740975753101903356685400661074674057071774744000291503524870439239858);
+  zs<RealType>[238] = BOOST_MATH_TEST_VALUE(RealType, 872572427803030.0937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[238] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926565889455669750068970579501127050404305753044873046035266500692837850798788777465676);
+  zs<RealType>[239] = BOOST_MATH_TEST_VALUE(RealType, 872572427803030.5937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[239] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926621398896569572365188600277702800255782702903047591596266870263378125202082655252570);
+  zs<RealType>[240] = BOOST_MATH_TEST_VALUE(RealType, 872572427803031.0937500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[240] = BOOST_MATH_TEST_VALUE(RealType, 30.96946505745926676908337469394629629815431630642638319365662168161753441065238424482444892944732090);
+  zs<RealType>[241] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606062.687500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[241] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368555045568380920065773046212688909377117164466588005747217968807471779219205518025563);
+  zs<RealType>[242] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606063.187500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[242] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368582818730773733152774326033355552322481669720170248660524963440150598888428761058290);
+  zs<RealType>[243] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606063.687500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[243] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368610591893166546231825808704138452046802967409474774871621840817874673003149159950917);
+  zs<RealType>[244] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606064.187500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[244] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368638365055559359302927494225037613103195710423753246607554009944184530654853462065205);
+  zs<RealType>[245] = BOOST_MATH_TEST_VALUE(RealType, 1745144855606064.687500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[245] = BOOST_MATH_TEST_VALUE(RealType, 31.64115530270368666138217952172366079382596053040044774551652253413904860066772832705321064573507936);
+  zs<RealType>[246] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212129.875000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[246] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725912255296233554695621993095527834620867411002883617418802445848848920754168937963900);
+  zs<RealType>[247] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212130.375000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[247] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725926150732198502036790376252498771483422694718006966861906633408209207371317438042436);
+  zs<RealType>[248] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212130.875000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[248] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725940046168163449375969968196897954449339669242357827673003495386979661882340839494652);
+  zs<RealType>[249] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212131.375000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[249] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725953941604128396713160768928725384088153564235657069057463593847925585888659769685682);
+  zs<RealType>[250] = BOOST_MATH_TEST_VALUE(RealType, 3490289711212131.875000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[250] = BOOST_MATH_TEST_VALUE(RealType, 32.31328276274725967837040093344048362778447981060969399609357625315535190876608557675610677996463049);
+  zs<RealType>[251] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424264.250000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[251] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604679088719826542088155377570542413337629407446260913838808164256711555296996403852860);
+  zs<RealType>[252] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424264.750000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[252] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604686040692677719047881106035406644182281598485405113601440205771668223737335876041818);
+  zs<RealType>[253] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424265.250000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[253] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604692992665528896007109314624214905869648472859408505262279189002691227175712262681487);
+  zs<RealType>[254] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424265.750000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[254] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604699944638380072965840003336967198470969416928902364624408970718516308377862696183264);
+  zs<RealType>[255] = BOOST_MATH_TEST_VALUE(RealType, 6980579422424266.250000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[255] = BOOST_MATH_TEST_VALUE(RealType, 32.98583023753604706896611231249924073172173663522057483817054517952187667696583584412183600018203736);
+  zs<RealType>[256] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848533.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[256] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097095124298518143702077667858405885409410230992311053881919684167704487215990113228857);
+  zs<RealType>[257] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848533.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[257] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097098602331016061647350048233624732159922625861798362865689925616857240391773797386011);
+  zs<RealType>[258] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848534.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[258] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097102080363513979592497971278809664223503486445169932919366667254889157695575939580298);
+  zs<RealType>[259] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848534.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[259] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097105558396011897537521436993960681609063435549611864140613496327710388308960838614952);
+  zs<RealType>[260] = BOOST_MATH_TEST_VALUE(RealType, 13961158844848535.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[260] = BOOST_MATH_TEST_VALUE(RealType, 33.65878151237097109036428509815482420445379077784325513095982310255670016959177612483326392564338403);
+  zs<RealType>[261] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697070.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[261] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954182192055400546316699688336088176596379963232567718408755304304153654131361648983188);
+  zs<RealType>[262] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697071.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[262] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954183932056272117319130023138040040443817185436738411951668715588692235416442685371045);
+  zs<RealType>[263] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697071.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[263] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954185672057143688321529225011483876409341147922608312437009263576524224673465664622416);
+  zs<RealType>[264] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697072.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[264] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954187412058015259323897293956419684494066363206316215367067849034858025290827895879418);
+  zs<RealType>[265] = BOOST_MATH_TEST_VALUE(RealType, 27922317689697072.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[265] = BOOST_MATH_TEST_VALUE(RealType, 34.33212128461954189152058886830326234229972847464699107343804000916184280580506932042040723667339789);
+  zs<RealType>[266] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394145.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[266] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518695935331739482145723160151536139963974678105921205914075721658873691195091665811270);
+  zs<RealType>[267] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394146.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[267] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518696805806331425691633367772960837479285214203859766210400707178436995199558318407295);
+  zs<RealType>[268] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394146.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[268] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518697676280923369237535787688894919552843836080956969078417834382970920191457114876432);
+  zs<RealType>[269] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394147.00000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[269] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518698546755515312783430419899338386184789940110157674808234768343577335618132616959765);
+  zs<RealType>[270] = BOOST_MATH_TEST_VALUE(RealType, 55844635379394147.50000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[270] = BOOST_MATH_TEST_VALUE(RealType, 35.00583509707518699417230107256329317264404291237375262922664406743686215997702269925047177260404215);
+  zs<RealType>[271] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788295.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[271] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728324006370419405415632798743326857723995400791753575138185111578870305633556551072352);
+  zs<RealType>[272] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788296.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[272] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728324441836204273681992689740132873188907673425746295594512007334247458414132014763631);
+  zs<RealType>[273] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788296.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[273] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728324877301989141948350632733717201783214881466640664746188099504650620747906266396850);
+  zs<RealType>[274] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788297.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[274] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728325312767774010214706627724079843506934459363078248730870402916016710439865808348504);
+  zs<RealType>[275] = BOOST_MATH_TEST_VALUE(RealType, 111689270758788297.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[275] = BOOST_MATH_TEST_VALUE(RealType, 35.67990927725728325748233558878481060674711220798360083841563700613685981848455744088126373390197417);
+  zs<RealType>[276] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576595.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[276] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076284552001564306302504927318242547212268948185919007001226970738285875013148048139909);
+  zs<RealType>[277] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576596.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[277] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076284769844633707581493482388002617376992599930776877134475450868721982023076025880187);
+  zs<RealType>[278] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576596.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[278] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076284987687703108860481550197556889556172047264008790594215563414633410406449425201228);
+  zs<RealType>[279] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576597.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[279] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076285205530772510139469130746905363749809470683776684452160660198665349883658913823376);
+  zs<RealType>[280] = BOOST_MATH_TEST_VALUE(RealType, 223378541517576597.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[280] = BOOST_MATH_TEST_VALUE(RealType, 36.35433088203076285423373841911418456224036048039957907050688242495780009454648985107688288289511577);
+  zs<RealType>[281] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153195.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[281] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400134712267319905290193660562118300513507830516933879565438304668183143470276536696);
+  zs<RealType>[282] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153196.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[282] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400243686962505878682539242575730874103256160022984465712010716817361916571773853546);
+  zs<RealType>[283] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153196.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[283] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400352661657691852074762947010360082635121697561514628341391528501142658520743630365);
+  zs<RealType>[284] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153197.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[284] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400461636352877825466864773866005926109377149011203944059666845076630112677861392210);
+  zs<RealType>[285] = BOOST_MATH_TEST_VALUE(RealType, 446757083035153197.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[285] = BOOST_MATH_TEST_VALUE(RealType, 37.02908764699829400570611048063798858844723142668404526295220250731989472007381590773195282652560254);
+  zs<RealType>[286] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306395.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[286] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555320136342385675657230684506000440195815556999407621228993843426869578896616407720);
+  zs<RealType>[287] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306396.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[287] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555374649355515368083078169249852645520316613216452931331516160499635557395351284563);
+  zs<RealType>[288] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306396.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[288] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555429162368645060508895169517366721864271816097307727758099155612982661657855356471);
+  zs<RealType>[289] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306397.0000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[289] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555483675381774752934681685308542669227715271188344812250649110477219885655515210238);
+  zs<RealType>[290] = BOOST_MATH_TEST_VALUE(RealType, 893514166070306397.5000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[290] = BOOST_MATH_TEST_VALUE(RealType, 37.70416794018226555538188394904445360437716623380487610681084035936986551015065343719767859121005169);
+  zs<RealType>[291] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612795.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[291] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972598482293827813436342029687218073991385854219392107138609564999755336816382782882);
+  zs<RealType>[292] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612796.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[292] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972625751198813595667063367232609526061670475810039080545891532051379509177129548620);
+  zs<RealType>[293] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612796.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[293] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972653020103799377897777080019019814937016569594146159440469991463659659940941732350);
+  zs<RealType>[294] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612797.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[294] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972680289008785160128483168046448940617428400853168904877026810016036680752500851451);
+  zs<RealType>[295] = BOOST_MATH_TEST_VALUE(RealType, 1787028332140612797.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[295] = BOOST_MATH_TEST_VALUE(RealType, 38.37956071956958972707557913770942359181631314896903102910234868562877910240275114213945213826099662);
+  zs<RealType>[296] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225595.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[296] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357397288405889113661262090376242531189140228166174913957175516846453031303867939318);
+  zs<RealType>[297] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225596.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[297] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357410928851167839535330306428730324674240848562357412341096307490721136888569495897);
+  zs<RealType>[298] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225596.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[298] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357424569296446565409396615412474444985847532731674289519382422208292858248536499652);
+  zs<RealType>[299] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225597.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[299] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357438209741725291283461017327474892123960814086338854298164097945903007554014878729);
+  zs<RealType>[300] = BOOST_MATH_TEST_VALUE(RealType, 3574056664281225597.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[300] = BOOST_MATH_TEST_VALUE(RealType, 39.05525549414090357451850187004017157523512173731666088581226038564415483571347831884995089329885967);
+  zs<RealType>[301] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451195.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[301] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727783498401939051909927376255844770721021129458386841998457593172268879366938255929);
+  zs<RealType>[302] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451196.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[302] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727790321522786904454299244826066833347409818515980037701571602976213801388272915974);
+  zs<RealType>[303] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451196.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[303] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727797144643634756998670636416712076247668418626969651461616512047870718042117101998);
+  zs<RealType>[304] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451197.000000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[304] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727803967764482609543041551027780499421796996498319224892410706675338130329932555167);
+  zs<RealType>[305] = BOOST_MATH_TEST_VALUE(RealType, 7148113328562451197.500000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[305] = BOOST_MATH_TEST_VALUE(RealType, 39.73124228804812727810790885330462087411988659272102869795618836992299607772559151572452093096440915);
+  zs<RealType>[306] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902395.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[306] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677831479038829047423830224736434558035742829431520714244678484344822558100019565300);
+  zs<RealType>[307] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902396.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[307] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677834892001619303911408381392078589832744493031890002310138573922908458466967872121);
+  zs<RealType>[308] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902396.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[308] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677838304964409560398986418751480292907711652892277321787302547236270065870054677767);
+  zs<RealType>[309] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902397.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[309] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677841717927199816886564336814639667260644317354730947215019219733421649211897790576);
+  zs<RealType>[310] = BOOST_MATH_TEST_VALUE(RealType, 14296226657124902397.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[310] = BOOST_MATH_TEST_VALUE(RealType, 40.40751160764139677845130889990073374142135581556712891542494761299153132137405987788970971812438268);
+  zs<RealType>[311] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804795.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[311] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601512650396438190311342038447614710861375772179966198427428166270594434592188846742);
+  zs<RealType>[312] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804796.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[312] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601514357556751058240524595848620754197445685531919168072376579651061145028382528801);
+  zs<RealType>[313] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804796.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[313] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601516064717063926169707123413145503282985377893953090450589428836799851249587190162);
+  zs<RealType>[314] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804797.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[314] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601517771877376794098889621141188958117994850309268653710559007455198782311971328872);
+  zs<RealType>[315] = BOOST_MATH_TEST_VALUE(RealType, 28592453314249804797.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[315] = BOOST_MATH_TEST_VALUE(RealType, 41.08405441107886601519479037689662028072089032751118702474103821066546000777609078929437453810254475);
+  zs<RealType>[316] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609595.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[316] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568641375217383589970289192285524027455320442791145685452599382947676049441268469929);
+  zs<RealType>[317] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609596.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[317] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568642229126383956807166540537938630285140147251930665093550545985675206920712567685);
+  zs<RealType>[318] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609596.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[318] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568643083035384323644043881328226871966400896425186789096638830671067070738275427294);
+  zs<RealType>[319] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609597.00000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[319] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568643936944384690480921214656388752499102690441367931200542104387248813871592477758);
+  zs<RealType>[320] = BOOST_MATH_TEST_VALUE(RealType, 57184906628499609597.50000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[320] = BOOST_MATH_TEST_VALUE(RealType, 41.76086208028139568644790853385057317798540522424271883245529430927965143938234514196380710928511911);
+  zs<RealType>[321] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219195.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[321] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322372868984974754605356116106151045232696170539516224623515519078402644518190519926);
+  zs<RealType>[322] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219196.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[322] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322373296098832611092973985577032241411056103015380922288812869321261489035558578068);
+  zs<RealType>[323] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219196.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[323] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322373723212690467580591853181653964600305518073422329365062099792146842039711851587);
+  zs<RealType>[324] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219197.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[324] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322374150326548324068209718920016214800444415729953689875272821439439139550720636184);
+  zs<RealType>[325] = BOOST_MATH_TEST_VALUE(RealType, 114369813256999219197.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[325] = BOOST_MATH_TEST_VALUE(RealType, 42.43792639501924322374577440406180555827582792118992011472796001288247842454645211304904107994414835);
+  zs<RealType>[326] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438395.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[326] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669327806140448370484701263856771509543516859403088443747042918192039960542776140113);
+  zs<RealType>[327] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438396.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[327] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328019774638303987145009950720434908964235203327796824314750703851313533491796197);
+  zs<RealType>[328] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438396.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[328] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328233408828237489588755577928156076930831411008263669948642260552727690669574065);
+  zs<RealType>[329] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438397.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[329] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328447043018170992032500738394673047416648028169788047545599558661614805384499252);
+  zs<RealType>[330] = BOOST_MATH_TEST_VALUE(RealType, 228739626513998438397.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[330] = BOOST_MATH_TEST_VALUE(RealType, 43.11523950893999669328660677208104494476245432119985820421685056852313720706629294682011828585641323);
+  zs<RealType>[331] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876795.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[331] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193606989766502723445979048572229231465829706451573324407857444527395822448178986007);
+  zs<RealType>[332] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876796.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[332] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607096621073065351333846093585545869129269708118665210449739974464793810457198837);
+  zs<RealType>[333] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876796.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[333] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607203475643407256688643498213820013963448351011348495071834636284671248086199837);
+  zs<RealType>[334] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876797.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[334] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607310330213749162043440786114053900332242380506462727521879656021426226958496105);
+  zs<RealType>[335] = BOOST_MATH_TEST_VALUE(RealType, 457479253027996876797.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[335] = BOOST_MATH_TEST_VALUE(RealType, 43.79279392736654193607417184784091067398237957286247528235651796859096373598026176840193967666274999);
+  zs<RealType>[336] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753595.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[336] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941120173207718823699817102786625650029939710664855583164086060137262356501253929);
+  zs<RealType>[337] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753596.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[337] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941173618678344688398957490049536600533594487394087848036718134980749301722731352);
+  zs<RealType>[338] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753596.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[338] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941227064148970553098097848120073848954722626642651975773633390627303626978835838);
+  zs<RealType>[339] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753597.0000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[339] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941280509619596417797238176998237395293324128442445599007428498582436405251992611);
+  zs<RealType>[340] = BOOST_MATH_TEST_VALUE(RealType, 914958506055993753597.5000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[340] = BOOST_MATH_TEST_VALUE(RealType, 44.47058248671115033941333955090222282496378476684027239549398992825366350370700130351606424938744046);
+  zs<RealType>[341] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507195.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[341] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965056513946129162668050892446138815518047627051292293694179480812556619549313064);
+  zs<RealType>[342] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507196.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[342] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965083245509992947480958471611883906387208610588018636449042232643595158517689720);
+  zs<RealType>[343] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507196.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[343] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965109977073856732293866043477021415438855308555056542965567216193304047624510243);
+  zs<RealType>[344] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507197.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[344] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965136708637720517106773608041551342672987720956394620826737050999033807936751171);
+  zs<RealType>[345] = BOOST_MATH_TEST_VALUE(RealType, 1829917012111987507197.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[345] = BOOST_MATH_TEST_VALUE(RealType, 45.14859833536711018965163440201584301919681165305473688089605847796021477615534356598131691567620401);
+  zs<RealType>[346] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014395.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[346] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485628384441561575887407603040339098125590070863967384748247436205190625734118932);
+  zs<RealType>[347] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014396.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[347] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485641754511313063272748535532950445484624262655288217284652009573499125927466059);
+  zs<RealType>[348] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014396.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[348] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485655124581064550658089466199799712956218289431848176597105298416189805067325255);
+  zs<RealType>[349] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014397.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[349] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485668494650816038043430395040886900540372151194146008896781208120907682446939362);
+  zs<RealType>[350] = BOOST_MATH_TEST_VALUE(RealType, 3659834024223975014397.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[350] = BOOST_MATH_TEST_VALUE(RealType, 45.82683491595294384485681864720567525428771322056212008237085847942680460394853644075297572979160046);
+  zs<RealType>[351] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028795.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[351] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126393241245457792327323285439769210757132628000124992150426204283421914567175062);
+  zs<RealType>[352] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028796.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[352] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126399928363674654174459322702292762434851831465004062253014895509105956594317070);
+  zs<RealType>[353] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028796.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[353] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126406615481891516021595359508227640114777678096555406499545632733378131414467863);
+  zs<RealType>[354] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028797.000000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[354] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126413302600108377868731395857573843796910167894841388830471951540349934300433290);
+  zs<RealType>[355] = BOOST_MATH_TEST_VALUE(RealType, 7319668048447950028797.500000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[355] = BOOST_MATH_TEST_VALUE(RealType, 46.50528594879636847126419989718325239715867431750331373481249300859924373186247387514132847746950458);
+  zs<RealType>[356] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057595.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[356] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726859251633008985542795093110678176543525265373739682696782954566791223497853278);
+  zs<RealType>[357] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057596.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[357] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726862596204760125343156619941158006313108818081160492017518779133670783309629777);
+  zs<RealType>[358] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057596.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[358] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726865940776511265143518146657454680704151512746306706865464848189500564360309989);
+  zs<RealType>[359] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057597.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[359] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726869285348262404943879673259568199716653349369186125242127832914687715856217447);
+  zs<RealType>[360] = BOOST_MATH_TEST_VALUE(RealType, 14639336096895900057597.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[360] = BOOST_MATH_TEST_VALUE(RealType, 47.18394541655595353726872629920013544744241199747498563350614327949806545149014404489639386204785740);
+  zs<RealType>[361] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115195.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[361] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869898641897124874506124538863135227082696257498669984107495807372390982964298765);
+  zs<RealType>[362] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115196.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[362] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869900314675402022865409817077027470411443725892317844329022583627504362168195643);
+  zs<RealType>[363] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115196.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[363] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869901987453679171224695095262365180124915574419262646462548365901592461409111822);
+  zs<RealType>[364] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115197.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[364] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869903660231956319583980373419148356223111803079505365563012583778554165327574562);
+  zs<RealType>[365] = BOOST_MATH_TEST_VALUE(RealType, 29278672193791800115197.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[365] = BOOST_MATH_TEST_VALUE(RealType, 47.86280754988806283869905333010233467943265651547376998706032411873046976685354666842288358514164676);
+  zs<RealType>[366] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230395.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[366] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135559278566008113536709515501428437696966434378641333376283319594991159197529021);
+  zs<RealType>[367] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230396.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[367] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135560115194668751765523308763717061100258732052320085375724211692206634017417835);
+  zs<RealType>[368] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230396.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[368] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135560951823329389994337102018864925304218198091079593677878710603131163142362874);
+  zs<RealType>[369] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230397.00000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[369] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135561788451990028223150895266872030308844832494919980201645683875988736222168974);
+  zs<RealType>[370] = BOOST_MATH_TEST_VALUE(RealType, 58557344387583600230397.50000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[370] = BOOST_MATH_TEST_VALUE(RealType, 48.54186681407528073135562625080650666451964688507738376114138635263841366865923999059003342903518356);
+  zs<RealType>[371] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460795.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[371] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917393998803300413713566990752077661423207867413014717692257524895032484088002638);
+  zs<RealType>[372] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460796.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[372] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917394417234185551157598495411034248495095320790548697334562191650844059041476016);
+  zs<RealType>[373] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460796.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[373] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917394835665070688601630000068205128804849669368418438086966818342794853392747975);
+  zs<RealType>[374] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460797.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[374] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917395254095955826045661504723590302352470913146623955193835326180329431243220210);
+  zs<RealType>[375] = BOOST_MATH_TEST_VALUE(RealType, 117114688775167200460797.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[375] = BOOST_MATH_TEST_VALUE(RealType, 49.22111789654023166917395672526840963489693009377189769137959052125165263899531636372892356694099191);
+  zs<RealType>[376] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921595.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[376] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060297122022964231700635525977853025814596096151371140753421576539605970700861);
+  zs<RealType>[377] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921596.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[377] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060506394202934831808914814125072797602761455168951650504013758145865501313880);
+  zs<RealType>[378] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921596.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[378] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060715666382905431917194101825740114881990816754906595137018341539085351050643);
+  zs<RealType>[379] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921597.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[379] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066060924938562876032025473389079854977652284180909237880745343386717050876814609);
+  zs<RealType>[380] = BOOST_MATH_TEST_VALUE(RealType, 234229377550334400921597.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[380] = BOOST_MATH_TEST_VALUE(RealType, 49.90055569517561383066061134210742846632133752675887417385913641547631947413421896953677547435497030);
+  zs<RealType>[381] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843195.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[381] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561317487206707303802427632079894747824628285067346330316982070607470750276538);
+  zs<RealType>[382] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843196.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[382] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561422150925313668179339445554345979082699726978571301972512528171705027852141);
+  zs<RealType>[383] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843196.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[383] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561526814643920032556251258917128490508500217173303906663500224210793499988710);
+  zs<RealType>[384] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843197.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[384] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561631478362526396933163072168242282102029755651544382718152403729363436471691);
+  zs<RealType>[385] = BOOST_MATH_TEST_VALUE(RealType, 468458755100668801843197.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[385] = BOOST_MATH_TEST_VALUE(RealType, 50.58017530742747300164561736142081132761310074885307687353863288342413292968464676311732042107085768);
+  zs<RealType>[386] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686395.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[386] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650352849612123815153250964411406464644865827787863050268704653756510450468474031);
+  zs<RealType>[387] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686396.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[387] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650352901957441589305691661161083072884708823213628905949128284896989478240192251);
+  zs<RealType>[388] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686396.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[388] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650352954302759363458132357910731756493593984931372662548695557807862606879386793);
+  zs<RealType>[389] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686397.0000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[389] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650353006648077137610573054660352515471521312941094320097205602449555540058022069);
+  zs<RealType>[390] = BOOST_MATH_TEST_VALUE(RealType, 936917510201337603686397.5000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[390] = BOOST_MATH_TEST_VALUE(RealType, 51.25997202007432193650353058993394911763013751409945349818490807242793878624457548782493981448062444);
+  zs<RealType>[391] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372795.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[391] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394011661732720227488151829956542922851698538021522622862634588975916535124465);
+  zs<RealType>[392] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372796.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[392] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394037840949666263721928778536979472743471765062641780884974428552475054902084);
+  zs<RealType>[393] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372796.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[393] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394064020166612299955705727110433050351349588454562078192850302725642051437996);
+  zs<RealType>[394] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372797.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[394] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394090199383558336189482675676903655675332008197283518512140013107034885992383);
+  zs<RealType>[395] = BOOST_MATH_TEST_VALUE(RealType, 1873835020402675207372797.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[395] = BOOST_MATH_TEST_VALUE(RealType, 51.93994129964973319883394116378600504372423259624236391288715419024290806105568721361308270919825427);
+  zs<RealType>[396] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745595.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[396] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780063098329226609433897361719442410811576805026853884099017649824976199940727);
+  zs<RealType>[397] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745596.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[397] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780076191134345038026463351561571010291457420668319272155773248903735412098606);
+  zs<RealType>[398] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745596.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[398] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780089283939463466619029341401953424656920848830320946683691731827935418315374);
+  zs<RealType>[399] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745597.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[399] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780102376744581895211595331240589653907967089512858908148627964024886502244786);
+  zs<RealType>[400] = BOOST_MATH_TEST_VALUE(RealType, 3747670040805350414745597.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[400] = BOOST_MATH_TEST_VALUE(RealType, 52.62007878346056146247780115469549700323804161321077479698044596142715933157016436810921898947540595);
+  zs<RealType>[401] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491195.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[401] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472014163526750381732629683760414977652728398062761064036427478928134573151026);
+  zs<RealType>[402] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491196.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[402] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472020711487963758347144588443668839144673170417842073148009181357862290045625);
+  zs<RealType>[403] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491196.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[403] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472027259449177134961659493126486046636359084837495933357183600363141237458038);
+  zs<RealType>[404] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491197.000000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[404] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472033807410390511576174397808866600127786141321722644722197229302630959626241);
+  zs<RealType>[405] = BOOST_MATH_TEST_VALUE(RealType, 7495340081610700829491197.500000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[405] = BOOST_MATH_TEST_VALUE(RealType, 53.30038027115703847068472040355371603888190689302490810499618954339870522207301296561534991000788215);
+  zs<RealType>[406] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982395.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[406] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159106988030207256464803953686021292403364974364396941211684129467560225025844);
+  zs<RealType>[407] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982396.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[407] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159110262771031569979287106207337111164630527719599256075269757642116173324604);
+  zs<RealType>[408] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982396.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[408] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159113537511855883493770258728543740166820971925093788175661756375535881272212);
+  zs<RealType>[409] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982397.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[409] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159116812252680197008253411249641179409936306980880537520142720731872132566761);
+  zs<RealType>[410] = BOOST_MATH_TEST_VALUE(RealType, 14990680163221401658982397.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[410] = BOOST_MATH_TEST_VALUE(RealType, 53.98084171681467787755159120086993504510522736563770629428893976532886959504115995245775177710906343);
+  zs<RealType>[411] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964795.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[411] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966829050076057809819624810698856060190684715860519885138243117049542515690575);
+  zs<RealType>[412] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964796.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[412] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966830687817369095124791690640312773832665397033630245360990420711923237519040);
+  zs<RealType>[413] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964796.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[413] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966832325558680380429958570581742183631816048451505614209676496718115749779207);
+  zs<RealType>[414] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964797.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[414] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966833963299991665735125450523144289588136670114145991685211886837782686269634);
+  zs<RealType>[415] = BOOST_MATH_TEST_VALUE(RealType, 29981360326442803317964797.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[415] = BOOST_MATH_TEST_VALUE(RealType, 54.66145922149126997883966835601041302951040292330464519091701627262021551377788507132840586680788883);
+  zs<RealType>[416] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929595.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[416] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082008163468252474529527756164189713179328516307078639643598839828067574841328);
+  zs<RealType>[417] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929596.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[417] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082008982519917191333658353569747274840211384876036940931564577326778739937441);
+  zs<RealType>[418] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929596.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[418] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082009801571581908137788950975298008978578466315835299634785170757312736330548);
+  zs<RealType>[419] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929597.00000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[419] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082010620623246624941919548380841915594429760626473715753374464347315926011244);
+  zs<RealType>[420] = BOOST_MATH_TEST_VALUE(RealType, 59962720652885606635929597.50000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[420] = BOOST_MATH_TEST_VALUE(RealType, 55.34222902622527492285082011439674911341746050145786378994687765267807952189287446302324434670970122);
+  zs<RealType>[421] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859195.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[421] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005744109529240544406880337828236840721418957676877238000505091488001795651201);
+  zs<RealType>[422] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859196.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[422] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005744519143435523841317719330604019896557212385538515430219236320724445839119);
+  zs<RealType>[423] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859196.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[423] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005744928757630503275755100832969491810004678229237746659550758636675578428967);
+  zs<RealType>[424] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859197.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[424] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005745338371825482710192482335333256461761355207974931688513892197266161560978);
+  zs<RealType>[425] = BOOST_MATH_TEST_VALUE(RealType, 119925441305771213271859197.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[425] = BOOST_MATH_TEST_VALUE(RealType, 56.02314750544467013866005745747986020462144629863837695313851827243321750070517122870763907163375388);
+  zs<RealType>[426] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718395.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[426] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574964727179808543930859767697217112818536350797368921774672172293682473225055);
+  zs<RealType>[427] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718396.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[427] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574964932030053738025902058853016475070045198068571647010983824313512015423280);
+  zs<RealType>[428] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718396.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[428] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574965136880298932120944350008815410413130287269798806862098501994253827046627);
+  zs<RealType>[429] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718397.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[429] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574965341730544126215986641164613918847791618401050401328017984950518641062487);
+  zs<RealType>[430] = BOOST_MATH_TEST_VALUE(RealType, 239850882611542426543718397.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[430] = BOOST_MATH_TEST_VALUE(RealType, 56.70421116075780244670574965546580789320311028932320412000374029191462326430408744052796917190438247);
+  zs<RealType>[431] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436795.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[431] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531277886245290205731446363101869106286487064764410271386990754234755642855);
+  zs<RealType>[432] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436796.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[432] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531380332442757645839844021552846525681769285188952591218983091633569244771);
+  zs<RealType>[433] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436796.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[433] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531482778640225085948241680003717195267123172907693535943393631252233528007);
+  zs<RealType>[434] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436797.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[434] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531585224837692526056639338454481115042548727920633105560444873053490520850);
+  zs<RealType>[435] = BOOST_MATH_TEST_VALUE(RealType, 479701765223084853087436797.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[435] = BOOST_MATH_TEST_VALUE(RealType, 57.38541661510006336367991531687671035159966165036996905138285008045950227771300070359317000082251587);
+  zs<RealType>[436] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873595.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[436] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554057973484251633179872231742522867479304887734423959008177810507929372980502);
+  zs<RealType>[437] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873596.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[437] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058024717646818581642633527555088229229848978856650264562082058837873668151);
+  zs<RealType>[438] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873596.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[438] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058075951042003983413035312587282286158171800872330936800027595921615283052);
+  zs<RealType>[439] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873597.0000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[439] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058127184437189385183437097619449650089856200471001024891674937552098289649);
+  zs<RealType>[440] = BOOST_MATH_TEST_VALUE(RealType, 959403530446169706174873597.5000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[440] = BOOST_MATH_TEST_VALUE(RealType, 58.06676060721227034055554058178417832374786953838882651590321024902177652660528837051902100823152388);
+  zs<RealType>[441] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747195.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[441] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363299726206609746705489474024632685397908027036826962303868666955918111538);
+  zs<RealType>[442] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747196.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[442] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363325347935999834589083288276642972035197649807101708168936227006895175343);
+  zs<RealType>[443] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747196.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[443] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363350969665389922472677102528646584069120432472031910137509227273894302196);
+  zs<RealType>[444] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747197.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[444] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363376591394780010356270916780643521499676375031617568209591145770868885078);
+  zs<RealType>[445] = BOOST_MATH_TEST_VALUE(RealType, 1918807060892339412349747197.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[445] = BOOST_MATH_TEST_VALUE(RealType, 58.74823998642851741200079363402213124170098239864731032633784326865477485858682385185460511772316968);
+  zs<RealType>[446] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494395.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[446] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174934638672334406646723725983740951105026349221807009071850919012663041550);
+  zs<RealType>[447] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494396.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[447] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174947451996655623151231730299282486521387670139214046503255303771865999613);
+  zs<RealType>[448] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494396.500000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[448] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174960265320976839655739734614822352956044016003363242954851814317386540390);
+  zs<RealType>[449] = BOOST_MATH_TEST_VALUE(RealType, 3837614121784678824699494397.000000000000000000000000000000000000000000000000000000000000000000000000);
+  ws<RealType>[449] = BOOST_MATH_TEST_VALUE(RealType, 59.42985170775297409538727174973078645298056160247738930360550408995386814254598426640885488605351946);
+};
+// End of lambert_w_mp_high_values.ipp 
diff --git a/src/boost/libs/math/test/lambert_w_low_reference_values.ipp b/src/boost/libs/math/test/lambert_w_low_reference_values.ipp
new file mode 100644
index 000000000..f4466e4c2
--- /dev/null
+++ b/src/boost/libs/math/test/lambert_w_low_reference_values.ipp
@@ -0,0 +1,236 @@
+
+// A collection of Lambert W test values computed using 100 decimal digits precision.
+// C++ floating-point type is RealType.
+
+// Written by lambert_w_mp_test_values.cpp Tue Oct 10 14:35:08 2017
+
+// Copyright Paul A. Bristow 2017.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Size of arrays of arguments z and Lambert W
+static const unsigned int noof_tests = 100;
+// Declare arrays of arguments z and Lambert W(z)
+// The values are defined using the macro BOOST_MATH_TEST_VALUE to ensure
+// that both built-in and multiprecision types are correctly initialiased with full precision.
+// built-in types like double require a floating-point literal like 3.14,
+// but multiprecision types require a decimal digit string like "3.14".
+
+
+template <typename RealType>
+static RealType zs[100];
+
+template <typename RealType>
+static RealType ws[100];
+
+template <typename RealType>
+void init_zs()
+{
+  zs<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, -0.35);
+  zs<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, -0.34);
+  zs<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, -0.33);
+  zs<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, -0.32);
+  zs<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, -0.31);
+  zs<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, -0.3);
+  zs<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, -0.29);
+  zs<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, -0.28);
+  zs<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, -0.27);
+  zs<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, -0.26);
+  zs<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, -0.25);
+  zs<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, -0.24);
+  zs<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, -0.23);
+  zs<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, -0.22);
+  zs<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, -0.21);
+  zs<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, -0.2);
+  zs<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, -0.19);
+  zs<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, -0.18);
+  zs<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, -0.17);
+  zs<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, -0.16);
+  zs<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, -0.15);
+  zs<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, -0.14);
+  zs<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, -0.13);
+  zs<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, -0.12);
+  zs<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, -0.11);
+  zs<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, -0.1);
+  zs<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, -0.09);
+  zs<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, -0.08);
+  zs<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, -0.07);
+  zs<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, -0.06);
+  zs<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, -0.05);
+  zs<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, -0.04);
+  zs<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, -0.03);
+  zs<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, -0.02);
+  zs<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, -0.01);
+  zs<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 0);
+  zs<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 0.01);
+  zs<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 0.02);
+  zs<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 0.03);
+  zs<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 0.04);
+  zs<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 0.05);
+  zs<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 0.06);
+  zs<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 0.07);
+  zs<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 0.08);
+  zs<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 0.09);
+  zs<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 0.1);
+  zs<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 0.11);
+  zs<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 0.12);
+  zs<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 0.13);
+  zs<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 0.14);
+  zs<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 0.15);
+  zs<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 0.16);
+  zs<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 0.17);
+  zs<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 0.18);
+  zs<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 0.19);
+  zs<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 0.2);
+  zs<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 0.21);
+  zs<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 0.22);
+  zs<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 0.23);
+  zs<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 0.24);
+  zs<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 0.25);
+  zs<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 0.26);
+  zs<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 0.27);
+  zs<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 0.28);
+  zs<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 0.29);
+  zs<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 0.3);
+  zs<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 0.31);
+  zs<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 0.32);
+  zs<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 0.33);
+  zs<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 0.34);
+  zs<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 0.35);
+  zs<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 0.36);
+  zs<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 0.37);
+  zs<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 0.38);
+  zs<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 0.39);
+  zs<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 0.4);
+  zs<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 0.41);
+  zs<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 0.42);
+  zs<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 0.43);
+  zs<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 0.44);
+  zs<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 0.45);
+  zs<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 0.46);
+  zs<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 0.47);
+  zs<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 0.48);
+  zs<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 0.49);
+  zs<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 0.5);
+  zs<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 0.51);
+  zs<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 0.52);
+  zs<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 0.53);
+  zs<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 0.54);
+  zs<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 0.55);
+  zs<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 0.56);
+  zs<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 0.57);
+  zs<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 0.58);
+  zs<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 0.59);
+  zs<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 0.6);
+  zs<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 0.61);
+  zs<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 0.62);
+  zs<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 0.63);
+  zs<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 0.64);
+};
+
+template <typename RealType>
+void init_ws()
+{
+  ws<RealType>[0] = BOOST_MATH_TEST_VALUE(RealType, -0.7166388164560746087024558456707254694384568520557269136746931098892793788395047380759438025387884858);
+  ws<RealType>[1] = BOOST_MATH_TEST_VALUE(RealType, -0.6536945012690894831597997531138338843162464994103594824433758069038214520742337992347211610550053984);
+  ws<RealType>[2] = BOOST_MATH_TEST_VALUE(RealType, -0.6032666497551330505290050177510626805198672833479939253720127109209527349195161224268802996274136747);
+  ws<RealType>[3] = BOOST_MATH_TEST_VALUE(RealType, -0.5604894830784555743634840504116545657018790664887527536558909385182231717303278501957297352008893216);
+  ws<RealType>[4] = BOOST_MATH_TEST_VALUE(RealType, -0.5229899496273203531021836240814670901286300106249589336522580913925382314180343142582930298688973328);
+  ws<RealType>[5] = BOOST_MATH_TEST_VALUE(RealType, -0.4894022271802149690362312519962933689234100060163590345114659679736814083816206187318524147462752111);
+  ws<RealType>[6] = BOOST_MATH_TEST_VALUE(RealType, -0.4588564134818020881945707413259267147702798410198651247860751590059996177594865393191440343561489497);
+  ws<RealType>[7] = BOOST_MATH_TEST_VALUE(RealType, -0.430758874527112757916530656841372138819645982270515538512158436501726397121990576271580205308878207);
+  ws<RealType>[8] = BOOST_MATH_TEST_VALUE(RealType, -0.4046836216050718653643250056478665857931866093242449366197023952738694255086107304901218425119878285);
+  ws<RealType>[9] = BOOST_MATH_TEST_VALUE(RealType, -0.3803130203301711158303965355878156301369877394562403253806911002545713191362049178479001390543005669);
+  ws<RealType>[10] = BOOST_MATH_TEST_VALUE(RealType, -0.3574029561813889030688111040559047533165905550760120436276204485896714025961457962896168513444411851);
+  ws<RealType>[11] = BOOST_MATH_TEST_VALUE(RealType, -0.3357611647889027517286807582305262236620547459507665934563718789670705154001183482511605249232725262);
+  ws<RealType>[12] = BOOST_MATH_TEST_VALUE(RealType, -0.3152331201461386435765969738874032981030054464637097661705367708887648429131963353376761780892891198);
+  ws<RealType>[13] = BOOST_MATH_TEST_VALUE(RealType, -0.2956924930138396731882414803341009766267402363327831485839773479792571341845506001421908939342687003);
+  ws<RealType>[14] = BOOST_MATH_TEST_VALUE(RealType, -0.2770344936961942277405408649408688233196542455843784252217943010706466317584602777484953020015260171);
+  ws<RealType>[15] = BOOST_MATH_TEST_VALUE(RealType, -0.2591711018190737450566519502154067057135883397008937032218391275127128217957580326598838960236799743);
+  ws<RealType>[16] = BOOST_MATH_TEST_VALUE(RealType, -0.2420275690015187377858338945726638068700099098394765251572836145818480355482127963663852628850474365);
+  ws<RealType>[17] = BOOST_MATH_TEST_VALUE(RealType, -0.2255398031589208520522477564458058214947250100630471825833168970061295445194143654537283079293631882);
+  ws<RealType>[18] = BOOST_MATH_TEST_VALUE(RealType, -0.2096523776773757526854110454922591821172341338912795099236642246474810661153254626268152915502654464);
+  ws<RealType>[19] = BOOST_MATH_TEST_VALUE(RealType, -0.1943169925501295306267806518866699513042867279514786976609290465447683131164947042462416733465191705);
+  ws<RealType>[20] = BOOST_MATH_TEST_VALUE(RealType, -0.1794912683479847336169956193772297997551233686606176679348345166799006378410748708389238307302596092);
+  ws<RealType>[21] = BOOST_MATH_TEST_VALUE(RealType, -0.1651377892669526609846674769813353453533631060975171667664202096550705187268670901310309631101894252);
+  ws<RealType>[22] = BOOST_MATH_TEST_VALUE(RealType, -0.1512233352864070831284495817823327538270829682666487244093315171463780635423561100568377622135186516);
+  ws<RealType>[23] = BOOST_MATH_TEST_VALUE(RealType, -0.1377182597958957974485081647284122921614575977782346246206306428239556449434198032928042029722138321);
+  ws<RealType>[24] = BOOST_MATH_TEST_VALUE(RealType, -0.1245959804557266577566667196210790531357931527107938915216224185712652948438844608688497767379885997);
+  ws<RealType>[25] = BOOST_MATH_TEST_VALUE(RealType, -0.1118325591589629648335694568202658422726453622912658633296897727621943319600088273854870109175450158);
+  ws<RealType>[26] = BOOST_MATH_TEST_VALUE(RealType, -0.09940635280454481474353567186786621057820625354936552021878311951478746295439312235429098520600693655);
+  ws<RealType>[27] = BOOST_MATH_TEST_VALUE(RealType, -0.0872977208615799240409197586602731399264877335001009828544494658243661146551788411188719365040631665);
+  ws<RealType>[28] = BOOST_MATH_TEST_VALUE(RealType, -0.07548877886579220591933915955796681153524932228333916508394604171275936228487984352484617277876166196);
+  ws<RealType>[29] = BOOST_MATH_TEST_VALUE(RealType, -0.06396318935617251019529498180168867456392641049371161867095248726275828927462089387234209569688498636);
+  ws<RealType>[30] = BOOST_MATH_TEST_VALUE(RealType, -0.05270598355154634795995650617915721289427674396592395159861151190218069285705994080638064249535030165);
+  ws<RealType>[31] = BOOST_MATH_TEST_VALUE(RealType, -0.0417034084364844738987273381255397678625601003793974576012640697941798897037109744906565096871084505);
+  ws<RealType>[32] = BOOST_MATH_TEST_VALUE(RealType, -0.03094279498284817939791038065611524917275896960162863310717850085820789123932160879579380708946724763);
+  ws<RealType>[33] = BOOST_MATH_TEST_VALUE(RealType, -0.02041244405580766725973605390749548004158612495647388221129868845283704895545337928376001388096747673);
+  ws<RealType>[34] = BOOST_MATH_TEST_VALUE(RealType, -0.01010152719853875327292018767138623973670903993475235877290726369225412969738704722202330440072213641);
+  ws<RealType>[35] = BOOST_MATH_TEST_VALUE(RealType, 0);
+  ws<RealType>[36] = BOOST_MATH_TEST_VALUE(RealType, 0.009901473843595011885336326816570107953627746494917415482611387085655068978243229360100010886171970918);
+  ws<RealType>[37] = BOOST_MATH_TEST_VALUE(RealType, 0.01961158933740562729168248268298370977812129423409093067066057185151403434315590894008191205649296367);
+  ws<RealType>[38] = BOOST_MATH_TEST_VALUE(RealType, 0.02913845916787001265458568152535395243296458501852019787733534716701300947181963767753439648797667795);
+  ws<RealType>[39] = BOOST_MATH_TEST_VALUE(RealType, 0.03848966594197856933287598180923987047561124099417969473653441752849562865576161248185402614815991005);
+  ws<RealType>[40] = BOOST_MATH_TEST_VALUE(RealType, 0.04767230860012937472638890051416087074706296593389050213640962398757901310991378849253401839554247932);
+  ws<RealType>[41] = BOOST_MATH_TEST_VALUE(RealType, 0.05669304377414432493107872588796066666126335321712197451058496819855703149168243802045469883952188552);
+  ws<RealType>[42] = BOOST_MATH_TEST_VALUE(RealType, 0.06555812274442272075701853672870305774479404911034476570035450491724937359575494857058381868464932454);
+  ws<RealType>[43] = BOOST_MATH_TEST_VALUE(RealType, 0.07427342455278083997072135190143718509109109085324108067398934333182382982634706320903236612485848405);
+  ws<RealType>[44] = BOOST_MATH_TEST_VALUE(RealType, 0.08284448574644162210327285639805993759142367414790119841318433362329213386156887296335560991622282284);
+  ws<RealType>[45] = BOOST_MATH_TEST_VALUE(RealType, 0.0912765271608622642998957214231795686531192240514720326483083946071722462544175516502066459299560671);
+  ws<RealType>[46] = BOOST_MATH_TEST_VALUE(RealType, 0.09957447809219979168181062315832233980460887841902355310769435168948823854831388504977465633939682845);
+  ws<RealType>[47] = BOOST_MATH_TEST_VALUE(RealType, 0.1077429981622769541092028233904076346257727607117049788632909974125087436037688769621472372382338589);
+  ws<RealType>[48] = BOOST_MATH_TEST_VALUE(RealType, 0.1157864971383620420455904585908175984070719832012079215609230219591260309061070611295890797209058613);
+  ws<RealType>[49] = BOOST_MATH_TEST_VALUE(RealType, 0.123709152935653268637225082319130933018353939077412845800247462273779701933149651969922416814563643);
+  ws<RealType>[50] = BOOST_MATH_TEST_VALUE(RealType, 0.1315149280010344580474416667366241780127651069693569916108339146599686985542850094826506230355645206);
+  ws<RealType>[51] = BOOST_MATH_TEST_VALUE(RealType, 0.1392075842516055911219563262364716100580324132271864711438857091601938661529783118284822918918762012);
+  ws<RealType>[52] = BOOST_MATH_TEST_VALUE(RealType, 0.1467906967200019429098356045334600022599041243103780089713630524471411698742480890410424556292186252);
+  ws<RealType>[53] = BOOST_MATH_TEST_VALUE(RealType, 0.1542676660400332595939671017213220881360827710416946348345860549372631184130438485651715394816551156);
+  ws<RealType>[54] = BOOST_MATH_TEST_VALUE(RealType, 0.1616417298902320361099923668622409534689583622433205732144762283241135493479959458637574220609547663);
+  ws<RealType>[55] = BOOST_MATH_TEST_VALUE(RealType, 0.1689159734991095651164749037058183987284469135107297553319388783258832067427865597883933228919370041);
+  ws<RealType>[56] = BOOST_MATH_TEST_VALUE(RealType, 0.176093339303957105084240207040480028792877878787501699026158171529756555902997254667356047116441788);
+  ws<RealType>[57] = BOOST_MATH_TEST_VALUE(RealType, 0.1831766358446274967063002214815526159126266889851598585852904605011653998837614409160807673866997377);
+  ws<RealType>[58] = BOOST_MATH_TEST_VALUE(RealType, 0.1901685459646637418459898415362480836632528245228542609994635862866965513625128722227696305198415266);
+  ws<RealType>[59] = BOOST_MATH_TEST_VALUE(RealType, 0.1970716343842153356374997203517126469395880032764377549805749691269132085609349859323881542196582345);
+  ws<RealType>[60] = BOOST_MATH_TEST_VALUE(RealType, 0.2038883547022401644431818313271398701493524772101596349734062600818193640670940526181645713107956088);
+  ws<RealType>[61] = BOOST_MATH_TEST_VALUE(RealType, 0.2106210558793939073502149913441295543358575322967676769367700683562463350885767192666542957075712751);
+  ws<RealType>[62] = BOOST_MATH_TEST_VALUE(RealType, 0.2172719882476450310112829333455034301692311490231843772189917487700633677693451679449281229277444);
+  ws<RealType>[63] = BOOST_MATH_TEST_VALUE(RealType, 0.2238433090879237484082608989533539628744637740613473368794338628306680030796510487992807280960350863);
+  ws<RealType>[64] = BOOST_MATH_TEST_VALUE(RealType, 0.230337087812934212569787581174413102713202565273940246146535096101718965948694383449116272546328387);
+  ws<RealType>[65] = BOOST_MATH_TEST_VALUE(RealType, 0.2367553107885593168713669913131022529850076068942822776500825494062035956449035725319106127888967252);
+  ws<RealType>[66] = BOOST_MATH_TEST_VALUE(RealType, 0.2430998858240055404991486201117080426760827615791233989777935602839590601547710113790997280209616842);
+  ws<RealType>[67] = BOOST_MATH_TEST_VALUE(RealType, 0.2493726463579186824703694885450067240777490681347030220353778714445393581714407422015446216089384764);
+  ws<RealType>[68] = BOOST_MATH_TEST_VALUE(RealType, 0.255575355365104731122377747221405406075211883935782315620283025379607560268766005462481341306785098);
+  ws<RealType>[69] = BOOST_MATH_TEST_VALUE(RealType, 0.2617097090061743695408970492873886795528577990555646770473973759567281587373896180370074675102853899);
+  ws<RealType>[70] = BOOST_MATH_TEST_VALUE(RealType, 0.2677773400403608426926161268075028522173112518463765933864820650709836250445193581155036917009299903);
+  ws<RealType>[71] = BOOST_MATH_TEST_VALUE(RealType, 0.2737798210199097285877692071254930326690991310905656381739509847292712940678493744834592887738653624);
+  ws<RealType>[72] = BOOST_MATH_TEST_VALUE(RealType, 0.279718667282780030688985330053563938014151152536888220220066424808617200267097125397004630221318648);
+  ws<RealType>[73] = BOOST_MATH_TEST_VALUE(RealType, 0.2855953397589067078034135225526038434573251024673070045734211311120835242005964286865861813715576376);
+  ws<RealType>[74] = BOOST_MATH_TEST_VALUE(RealType, 0.2914112476039358811079401653518892721830457004248980213382598417991951999360380881350324421536041991);
+  ws<RealType>[75] = BOOST_MATH_TEST_VALUE(RealType, 0.2971677506731385467797269622470213419044581015501274519083671027242648030351552074110959032585686367);
+  ws<RealType>[76] = BOOST_MATH_TEST_VALUE(RealType, 0.3028661618471218240709788492447379933660682925225029587250796959940885465093714030223793579774677182);
+  ws<RealType>[77] = BOOST_MATH_TEST_VALUE(RealType, 0.3085077492199755507560853270193391876750205224915338763730055720866605941218639559241097041425718389);
+  ws<RealType>[78] = BOOST_MATH_TEST_VALUE(RealType, 0.3140937381596049465307653625755662577673424859113972924301418900103932566506643308363685842713510345);
+  ws<RealType>[79] = BOOST_MATH_TEST_VALUE(RealType, 0.3196253132491970154264844863020982117371468405067770401175599100299218378827848337045090472924417639);
+  ws<RealType>[80] = BOOST_MATH_TEST_VALUE(RealType, 0.3251036201180404567925882149866539513803608104758008850889564944127408970111984388784259876569696298);
+  ws<RealType>[81] = BOOST_MATH_TEST_VALUE(RealType, 0.3305297671692582446013104792754623176896333299898173620545327652833709938789531370957735854140619173);
+  ws<RealType>[82] = BOOST_MATH_TEST_VALUE(RealType, 0.3359048272114117659741549735010360281170238179628782075568249283432891398635686044147614597227718316);
+  ws<RealType>[83] = BOOST_MATH_TEST_VALUE(RealType, 0.3412298390003893228052121236143338755316388573531939840892239102731223392510954828680280968924289841);
+  ws<RealType>[84] = BOOST_MATH_TEST_VALUE(RealType, 0.3465058086974944293540338951489158955895910665452626949454054191729967933634547552073491283786892473);
+  ws<RealType>[85] = BOOST_MATH_TEST_VALUE(RealType, 0.3517337112491958260249093009299510651714642155171118040466438461099606107203387108968323038321915693);
+  ws<RealType>[86] = BOOST_MATH_TEST_VALUE(RealType, 0.356914491693587151869424246256045038549439930737927770357941686970717473161840668532896372614750844);
+  ws<RealType>[87] = BOOST_MATH_TEST_VALUE(RealType, 0.3620490663982259224347136211795537282192272992052648623722265772196673697387836128745005565051134501);
+  ws<RealType>[88] = BOOST_MATH_TEST_VALUE(RealType, 0.3671383242336754065717073384163048245222026534654156361188807018443753849870522240862625069431927886);
+  ws<RealType>[89] = BOOST_MATH_TEST_VALUE(RealType, 0.3721831276867561125667772461128588424710274544378039645877124572815833807252348818205119412993474916);
+  ws<RealType>[90] = BOOST_MATH_TEST_VALUE(RealType, 0.3771843139172231305654429202753334704233212269643890432815783280355585518582574589199227373679397234);
+  ws<RealType>[91] = BOOST_MATH_TEST_VALUE(RealType, 0.3821426957613190709393551341272838157890329391308789323327108090412283903082231991030667000296469447);
+  ws<RealType>[92] = BOOST_MATH_TEST_VALUE(RealType, 0.3870590626854075768406867666899001946809584949146574272916930955076684732166306691825829034241158645);
+  ws<RealType>[93] = BOOST_MATH_TEST_VALUE(RealType, 0.3919341816926673886247930427095007681691393368820432019135743979557612444151495005378394686508979365);
+  ws<RealType>[94] = BOOST_MATH_TEST_VALUE(RealType, 0.3967687981856199130952904028742195107327166899059243534847812692294320278426834780185947685265825165);
+  ws<RealType>[95] = BOOST_MATH_TEST_VALUE(RealType, 0.4015636367870725946626664537946836866230027160063511402379921560604975325206585381386527082762303647);
+  ws<RealType>[96] = BOOST_MATH_TEST_VALUE(RealType, 0.4063194021218846501705479426913810870863608030934864938423596576756863248859417057476841165663966806);
+  ws<RealType>[97] = BOOST_MATH_TEST_VALUE(RealType, 0.4110367795617996075205416204209832162005305795083946929235957810141140813392726029732502982435129093);
+  ws<RealType>[98] = BOOST_MATH_TEST_VALUE(RealType, 0.4157164359354393999190647189307900734531788488207389484153095921329397217223528187979110265697876198);
+  ws<RealType>[99] = BOOST_MATH_TEST_VALUE(RealType, 0.4203590202054164452305419772022302902943227646223432518640399730485379665439298245520857153666787776);
+};
+// End of lambert_w_mp_values.ipp 
diff --git a/src/boost/libs/math/test/lanczos_smoothing_test.cpp b/src/boost/libs/math/test/lanczos_smoothing_test.cpp
new file mode 100644
index 000000000..e7dbeac07
--- /dev/null
+++ b/src/boost/libs/math/test/lanczos_smoothing_test.cpp
@@ -0,0 +1,708 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE lanczos_smoothing_test
+
+#include <random>
+#include <array>
+#include <boost/range.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/differentiation/lanczos_smoothing.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/special_functions/next.hpp> // for float_distance
+#include <boost/math/tools/condition_numbers.hpp>
+
+using std::abs;
+using std::pow;
+using std::sqrt;
+using std::sin;
+using boost::math::constants::two_pi;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::differentiation::discrete_lanczos_derivative;
+using boost::math::differentiation::detail::discrete_legendre;
+using boost::math::differentiation::detail::interior_velocity_filter;
+using boost::math::differentiation::detail::boundary_velocity_filter;
+using boost::math::tools::summation_condition_number;
+
+template<class Real>
+void test_dlp_norms()
+{
+    std::cout << "Testing Discrete Legendre Polynomial norms on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    auto dlp = discrete_legendre<Real>(1, Real(0));
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(0), 3, tol);
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(1), 2, tol);
+    dlp = discrete_legendre<Real>(2, Real(0));
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(0), Real(5)/Real(2), tol);
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(1), Real(5)/Real(4), tol);
+    BOOST_CHECK_CLOSE_FRACTION(dlp.norm_sq(2), Real(3*3*7)/Real(pow(2,6)), 2*tol);
+    dlp = discrete_legendre<Real>(200, Real(0));
+    for(size_t r = 0; r < 10; ++r)
+    {
+        Real calc = dlp.norm_sq(r);
+        Real expected = Real(2)/Real(2*r+1);
+        // As long as r << n, ||q_r||^2 -> 2/(2r+1) as n->infty
+        BOOST_CHECK_CLOSE_FRACTION(calc, expected, 0.05);
+    }
+
+}
+
+template<class Real>
+void test_dlp_evaluation()
+{
+    std::cout << "Testing evaluation of Discrete Legendre polynomials on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    size_t n = 25;
+    Real x = 0.72;
+    auto dlp = discrete_legendre<Real>(n, x);
+    Real q0 = dlp(x, 0);
+    BOOST_TEST(q0 == 1);
+    Real q1 = dlp(x, 1);
+    BOOST_TEST(q1 == x);
+    Real q2 = dlp(x, 2);
+    int N = 2*n+1;
+    Real expected = 0.5*(3*x*x - Real(N*N - 1)/Real(4*n*n));
+    BOOST_CHECK_CLOSE_FRACTION(q2, expected, tol);
+    Real q3 = dlp(x, 3);
+    expected = (x/3)*(5*expected - (Real(N*N - 4))/(2*n*n));
+    BOOST_CHECK_CLOSE_FRACTION(q3, expected, 2*tol);
+
+    // q_r(x) is even for even r, and odd for odd r:
+    for (size_t n = 8; n < 22; ++n)
+    {
+        dlp = discrete_legendre<Real>(n, x);
+        for(size_t r = 2; r <= n; ++r)
+        {
+            if (r & 1)
+            {
+                Real q1 = dlp(x, r);
+                Real q2 = -dlp(-x, r);
+                BOOST_CHECK_CLOSE_FRACTION(q1, q2, tol);
+            }
+            else
+            {
+                Real q1 = dlp(x, r);
+                Real q2 = dlp(-x, r);
+                BOOST_CHECK_CLOSE_FRACTION(q1, q2, tol);
+            }
+
+            Real l2_sq = 0;
+            for (int j = -(int)n; j <= (int) n; ++j)
+            {
+                Real y = Real(j)/Real(n);
+                Real term = dlp(y, r);
+                l2_sq += term*term;
+            }
+            l2_sq /= n;
+            Real l2_sq_expected = dlp.norm_sq(r);
+            BOOST_CHECK_CLOSE_FRACTION(l2_sq, l2_sq_expected, 20*tol);
+        }
+    }
+}
+
+template<class Real>
+void test_dlp_next()
+{
+    std::cout << "Testing Discrete Legendre polynomial 'next' function on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+
+    for(size_t n = 2; n < 20; ++n)
+    {
+        for(Real x = -1; x <= 1; x += 0.1)
+        {
+            auto dlp = discrete_legendre<Real>(n, x);
+            for (size_t k = 2; k < n; ++k)
+            {
+                BOOST_CHECK_CLOSE(dlp.next(), dlp(x, k), tol);
+            }
+
+            dlp = discrete_legendre<Real>(n, x);
+            for (size_t k = 2; k < n; ++k)
+            {
+                BOOST_CHECK_CLOSE(dlp.next_prime(), dlp.prime(x, k), tol);
+            }
+        }
+    }
+}
+
+
+template<class Real>
+void test_dlp_derivatives()
+{
+    std::cout << "Testing Discrete Legendre polynomial derivatives on type " << typeid(Real).name() << "\n";
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    int n = 25;
+    Real x = 0.72;
+    auto dlp = discrete_legendre<Real>(n, x);
+    Real q0p = dlp.prime(x, 0);
+    BOOST_TEST(q0p == 0);
+    Real q1p = dlp.prime(x, 1);
+    BOOST_TEST(q1p == 1);
+    Real q2p = dlp.prime(x, 2);
+    Real expected = 3*x;
+    BOOST_CHECK_CLOSE_FRACTION(q2p, expected, tol);
+}
+
+template<class Real>
+void test_dlp_second_derivative()
+{
+    std::cout << "Testing Discrete Legendre polynomial derivatives on type " << typeid(Real).name() << "\n";
+    int n = 25;
+    Real x = Real(1)/Real(3);
+    auto dlp = discrete_legendre<Real>(n, x);
+    Real q2pp = dlp.next_dbl_prime();
+    BOOST_TEST(q2pp == 3);
+}
+
+
+template<class Real>
+void test_interior_velocity_filter()
+{
+    using boost::math::constants::half;
+    std::cout << "Testing interior filter on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    for(int n = 1; n < 10; ++n)
+    {
+        for (int p = 1; p < n; p += 2)
+        {
+            auto f = interior_velocity_filter<Real>(n,p);
+            // Since we only store half the filter coefficients,
+            // we need to reindex the moment sums:
+            auto cond = summation_condition_number<Real>(0);
+            for (size_t j = 0; j < f.size(); ++j)
+            {
+                cond += j*f[j];
+            }
+            BOOST_CHECK_CLOSE_FRACTION(cond.sum(), half<Real>(), 2*cond()*tol);
+
+            for (int l = 3; l <= p; l += 2)
+            {
+                cond = summation_condition_number<Real>(0);
+                for (size_t j = 0; j < f.size() - 1; ++j)
+                {
+                    cond += pow(Real(j), l)*f[j];
+                }
+                Real expected = -pow(Real(f.size() - 1), l)*f[f.size()-1];
+                BOOST_CHECK_CLOSE_FRACTION(expected, cond.sum(), 7*cond()*tol);
+            }
+            //std::cout << "(n,p) = (" << n  << "," << p << ") = {";
+            //for (auto & x : f)
+            //{
+            //    std::cout << x << ", ";
+            //}
+            //std::cout << "}\n";
+        }
+    }
+}
+
+template<class Real>
+void test_interior_lanczos()
+{
+    std::cout << "Testing interior Lanczos on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(500);
+    std::fill(v.begin(), v.end(), 7);
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(0.1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                Real dvdt = dld(v, m);
+                BOOST_CHECK_SMALL(dvdt, tol);
+            }
+            auto dvdt = dld(v);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_SMALL(dvdt[m], tol);
+            }
+        }
+    }
+
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i+8;
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                Real dvdt = dld(v, m);
+                BOOST_CHECK_CLOSE_FRACTION(dvdt, 7, 2000*tol);
+            }
+            auto dvdt = dld(v);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dvdt[m], 7, 2000*tol);
+            }
+        }
+    }
+
+    //std::random_device rd{};
+    //auto seed = rd();
+    //std::cout << "Seed = " << seed << "\n";
+    std::mt19937 gen(4172378669);
+    std::normal_distribution<> dis{0, 0.01};
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i+8 + dis(gen);
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dld(v, m), Real(7), Real(0.0042));
+            }
+        }
+    }
+
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 15*i*i + 7*i+8 + dis(gen);
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = n; m < v.size() - n; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dld(v,m), Real(30*m + 7), Real(0.00008));
+            }
+        }
+    }
+
+    std::normal_distribution<> dis1{0, 0.0001};
+    Real omega = Real(1)/Real(16);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = sin(i*omega) + dis1(gen);
+    }
+
+    for (size_t n = 10; n < 20; ++n)
+    {
+        for (size_t p = 3; p < 100 && p < n/2; p += 2)
+        {
+            auto dld = discrete_lanczos_derivative(Real(1), n, p);
+
+            for (size_t m = n; m < v.size() - n && m < n + 10; ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dld(v,m), omega*cos(omega*m), Real(0.03));
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_boundary_velocity_filters()
+{
+    std::cout << "Testing boundary filters on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    for(int n = 1; n < 5; ++n)
+    {
+        for (int p = 1; p < 2*n+1; ++p)
+        {
+            for (int s = -n; s <= n; ++s)
+            {
+                auto f = boundary_velocity_filter<Real>(n, p, s);
+                // Sum is zero:
+                auto cond = summation_condition_number<Real>(0);
+                for (size_t i = 0; i < f.size() - 1; ++i)
+                {
+                    cond += f[i];
+                }
+
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), -f[f.size()-1], 6*cond()*tol);
+
+                cond = summation_condition_number<Real>(0);
+                for (size_t k = 0; k < f.size(); ++k)
+                {
+                    Real j = Real(k) - Real(n);
+                    // note the shifted index here:
+                    cond += (j-s)*f[k];
+                }
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), 1, 6*cond()*tol);
+
+
+                for (int l = 2; l <= p; ++l)
+                {
+                    cond = summation_condition_number<Real>(0);
+                    for (size_t k = 0; k < f.size() - 1; ++k)
+                    {
+                        Real j = Real(k) - Real(n);
+                        // The condition number of this sum is infinite!
+                        // No need to get to worked up about the tolerance.
+                        cond += pow(j-s, l)*f[k];
+                    }
+
+                    Real expected = -pow(Real(f.size()-1) - Real(n) - Real(s), l)*f[f.size()-1];
+                    if (expected == 0)
+                    {
+                        BOOST_CHECK_SMALL(cond.sum(), cond()*tol);
+                    }
+                    else
+                    {
+                        BOOST_CHECK_CLOSE_FRACTION(expected, cond.sum(), 200*cond()*tol);
+                    }
+                }
+
+                //std::cout << "(n,p,s) = ("<< n << ", " << p << "," << s << ") = {";
+                //for (auto & x : f)
+                //{
+                //    std::cout << x << ", ";
+                //}
+                //std::cout << "}\n";*/
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_boundary_lanczos()
+{
+    std::cout << "Testing Lanczos boundary on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(500, 7);
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(0.0125), n, p);
+            for (size_t m = 0; m < n; ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_SMALL(dvdt, 4*sqrt(tol));
+            }
+            for (size_t m = v.size() - n; m < v.size(); ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_SMALL(dvdt, 4*sqrt(tol));
+            }
+        }
+    }
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i+8;
+    }
+
+    for (size_t n = 3; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = 0; m < n; ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_CLOSE_FRACTION(dvdt, 7, sqrt(tol));
+            }
+
+            for (size_t m = v.size() - n; m < v.size(); ++m)
+            {
+                Real dvdt = lsd(v,m);
+                BOOST_CHECK_CLOSE_FRACTION(dvdt, 7, 4*sqrt(tol));
+            }
+        }
+    }
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 15*i*i + 7*i+8;
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < 2*n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = 0; m < v.size(); ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(lsd(v,m), 30*m+7, 30*sqrt(tol));
+            }
+        }
+    }
+
+    // Demonstrate that the boundary filters are also denoising:
+    //std::random_device rd{};
+    //auto seed = rd();
+    //std::cout << "seed = " << seed << "\n";
+    std::mt19937 gen(311354333);
+    std::normal_distribution<> dis{0, 0.01};
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] += dis(gen);
+    }
+
+    for (size_t n = 1; n < 10; ++n)
+    {
+        for (size_t p = 2; p < n; ++p)
+        {
+            auto lsd = discrete_lanczos_derivative(Real(1), n, p);
+            for (size_t m = 0; m < v.size(); ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(lsd(v,m), 30*m+7, 0.005);
+            }
+            auto dvdt = lsd(v);
+            for (size_t m = 0; m < v.size(); ++m)
+            {
+                BOOST_CHECK_CLOSE_FRACTION(dvdt[m], 30*m+7, 0.005);
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_acceleration_filters()
+{
+    Real eps = std::numeric_limits<Real>::epsilon();
+    for (size_t n = 1; n < 5; ++n)
+    {
+        for(size_t p = 3; p <= 2*n; ++p)
+        {
+            for(int64_t s = -int64_t(n); s <= 0; ++s)
+            {
+                auto g = boost::math::differentiation::detail::acceleration_filter<long double>(n,p,s);
+
+                std::vector<Real> f(g.size());
+                for (size_t i = 0; i < g.size(); ++i)
+                {
+                    f[i] = static_cast<Real>(g[i]);
+                }
+
+                auto cond = summation_condition_number<Real>(0);
+
+                for (size_t i = 0; i < f.size() - 1; ++i)
+                {
+                    cond += f[i];
+                }
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), -f[f.size()-1], 10*cond()*eps);
+
+
+                cond = summation_condition_number<Real>(0);
+                for (size_t k = 0; k < f.size() -1; ++k)
+                {
+                    Real j = Real(k) - Real(n);
+                    cond += (j-s)*f[k];
+                }
+                Real expected = -(Real(f.size()-1)- Real(n) - s)*f[f.size()-1];
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), expected, 10*cond()*eps);
+
+                cond = summation_condition_number<Real>(0);
+                for (size_t k = 0; k < f.size(); ++k)
+                {
+                    Real j = Real(k) - Real(n);
+                    cond += (j-s)*(j-s)*f[k];
+                }
+                BOOST_CHECK_CLOSE_FRACTION(cond.sum(), 2, 100*cond()*eps);
+                // See unlabelled equation in McDevitt, 2012, just after equation 26:
+                // It appears that there is an off-by-one error in that equation, since p + 1 moments don't vanish, only p.
+                // This test is itself suspect; the condition number of the moment sum is infinite.
+                // So the *slightest* error in the filter gets amplified by the test; in terms of the
+                // behavior of the actual filter, it's not a big deal.
+                for (size_t l = 3; l <= p; ++l)
+                {
+                    cond = summation_condition_number<Real>(0);
+                    for (size_t k = 0; k < f.size() - 1; ++k)
+                    {
+                        Real j = Real(k) - Real(n);
+                        cond += pow((j-s), l)*f[k];
+                    }
+                    Real expected = -pow(Real(f.size()- 1 - n -s), l)*f[f.size()-1];
+                    BOOST_CHECK_CLOSE_FRACTION(cond.sum(), expected, 1000*cond()*eps);
+                }
+            }
+        }
+    }
+}
+
+template<class Real>
+void test_lanczos_acceleration()
+{
+    Real eps = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(100, 7);
+    auto lanczos = discrete_lanczos_derivative<Real, 2>(Real(1), 4, 3);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_SMALL(lanczos(v, i), eps);
+    }
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i + 6;
+    }
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_SMALL(lanczos(v,i), 200*eps);
+    }
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i*i + 9*i + 6;
+    }
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(lanczos(v, i), 14, 1500*eps);
+    }
+
+    // Now add noise, and kick up the smoothing of the Lanzcos derivative (increase n):
+    //std::random_device rd{};
+    //auto seed = rd();
+    //std::cout << "seed = " << seed << "\n";
+    size_t seed = 2507134629;
+    std::mt19937 gen(seed);
+    Real std_dev = 0.1;
+    std::normal_distribution<Real> dis{0, std_dev};
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] += dis(gen);
+    }
+    lanczos = discrete_lanczos_derivative<Real, 2>(Real(1), 18, 3);
+    auto w = lanczos(v);
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(w[i], 14, std_dev/200);
+    }
+}
+
+template<class Real>
+void test_rescaling()
+{
+    std::cout << "Test rescaling on type " << typeid(Real).name() << "\n";
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v(500);
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 7*i*i + 9*i + 6;
+    }
+    std::vector<Real> dvdt1(500);
+    std::vector<Real> dvdt2(500);
+    auto lanczos1 = discrete_lanczos_derivative(Real(1));
+    auto lanczos2 = discrete_lanczos_derivative(Real(2));
+
+    lanczos1(v, dvdt1);
+    lanczos2(v, dvdt2);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dvdt1[i], 2*dvdt2[i], tol);
+    }
+
+    auto lanczos3 = discrete_lanczos_derivative<Real, 2>(Real(1));
+    auto lanczos4 = discrete_lanczos_derivative<Real, 2>(Real(2));
+
+
+    std::vector<Real> dv2dt21(500);
+    std::vector<Real> dv2dt22(500);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dv2dt21[i], 4*dv2dt22[i], tol);
+    }
+}
+
+template<class Real>
+void test_data_representations()
+{
+    std::cout << "Test rescaling on type " << typeid(Real).name() << "\n";
+    Real tol = 150*std::numeric_limits<Real>::epsilon();
+    std::array<Real, 500> v;
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = 9*i + 6;
+    }
+    std::array<Real, 500> dvdt;
+    auto lanczos = discrete_lanczos_derivative(Real(1));
+
+    lanczos(v, dvdt);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dvdt[i], 9, tol);
+    }
+
+    boost::numeric::ublas::vector<Real> w(500);
+    boost::numeric::ublas::vector<Real> dwdt(500);
+    for(size_t i = 0; i < w.size(); ++i)
+    {
+        w[i] = 9*i + 6;
+    }
+
+    lanczos(w, dwdt);
+
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(dwdt[i], 9, tol);
+    }
+
+    auto v1 = boost::make_iterator_range(v.begin(), v.end());
+    auto v2 = boost::make_iterator_range(dvdt.begin(), dvdt.end());
+    lanczos(v1, v2);
+
+    for(size_t i = 0; i < v2.size(); ++i)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(v2[i], 9, tol);
+    }
+
+    auto lanczos2 = discrete_lanczos_derivative<Real, 2>(Real(1));
+
+    lanczos2(v1, v2);
+
+    for(size_t i = 0; i < v2.size(); ++i)
+    {
+        BOOST_CHECK_SMALL(v2[i], 10*tol);
+    }
+
+}
+
+BOOST_AUTO_TEST_CASE(lanczos_smoothing_test)
+{
+    test_dlp_second_derivative<double>();
+    test_dlp_norms<double>();
+    test_dlp_evaluation<double>();
+    test_dlp_derivatives<double>();
+    test_dlp_next<double>();
+
+    // Takes too long!
+    //test_dlp_norms<cpp_bin_float_50>();
+    test_boundary_velocity_filters<double>();
+    test_boundary_velocity_filters<long double>();
+    // Takes too long!
+    //test_boundary_velocity_filters<cpp_bin_float_50>();
+    test_boundary_lanczos<double>();
+    test_boundary_lanczos<long double>();
+    // Takes too long!
+    //test_boundary_lanczos<cpp_bin_float_50>();
+
+    test_interior_velocity_filter<double>();
+    test_interior_velocity_filter<long double>();
+    test_interior_lanczos<double>();
+
+    test_acceleration_filters<double>();
+
+    test_lanczos_acceleration<float>();
+    test_lanczos_acceleration<double>();
+
+    test_rescaling<double>();
+    test_data_representations<double>();
+}
diff --git a/src/boost/libs/math/test/legendre_p.ipp b/src/boost/libs/math/test/legendre_p.ipp
new file mode 100644
index 000000000..8cf266977
--- /dev/null
+++ b/src/boost/libs/math/test/legendre_p.ipp
@@ -0,0 +1,148 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 140> legendre_p = {{
+      {{ SC_(3.0), SC_(-0.804919183254241943359375), SC_(-0.09637879251279735399302410605920296560178428535437), SC_(-0.84585603807674271376114723023136351467791030262194) }}, 
+      {{ SC_(3.0), SC_(-0.74602639675140380859375), SC_(0.081027074619746344180737168075984167003866787126753), SC_(-0.80282652754865351221792807765781454966620965987346) }}, 
+      {{ SC_(3.0), SC_(-0.72904598712921142578125), SC_(0.12483445078630286253952851342405305778981983166886), SC_(-0.77778604740049228448138273219369426999256253154477) }}, 
+      {{ SC_(3.0), SC_(-0.62323606014251708984375), SC_(0.32965574890576083785628027375894100181596968468511), SC_(-0.54513199810739721932916528089324249381856320981233) }}, 
+      {{ SC_(3.0), SC_(-0.5579319000244140625), SC_(0.40270407973501426077134190961714921286329627037048), SC_(-0.36518655840013507868281802164420656404202160032323) }}, 
+      {{ SC_(3.0), SC_(-0.44300353527069091796875), SC_(0.44715433191447753543307951822408097264371917844983), SC_(-0.036791936427532285617966259083782977179826877960429) }}, 
+      {{ SC_(3.0), SC_(-0.38366591930389404296875), SC_(0.43431026413595020613207998332397363761003816762241), SC_(0.12305391050245773781086426664843252339855233834581) }}, 
+      {{ SC_(3.0), SC_(0.09376299381256103515625), SC_(-0.13858369755095318860018104847528497280961801152444), SC_(0.63165561565784611978985918320060987131739507929363) }}, 
+      {{ SC_(3.0), SC_(0.0944411754608154296875), SC_(-0.13955592906053357908142302859499928047171124489978), SC_(0.63114960637026901412475946814198954544987429570206) }}, 
+      {{ SC_(3.0), SC_(0.264718532562255859375), SC_(-0.35070182432271000038054645231433426033618161454797), SC_(0.39637508312826953308089998658220280933868101174524) }}, 
+      {{ SC_(3.0), SC_(0.62944734096527099609375), SC_(-0.32069719648529449984920462269136209876307930244366), SC_(-0.561319593950734471650860089348537659182887471015) }}, 
+      {{ SC_(3.0), SC_(0.67001712322235107421875), SC_(-0.25306053375130974366335052634993663112084050226258), SC_(-0.66081564793406011705012545543655510789740391137235) }}, 
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+      {{ SC_(18.0), SC_(0.62944734096527099609375), SC_(-0.21025192720175270695719746239016794207250758550671), SC_(-0.011451910307176188739521846496709015868005938376706) }}, 
+      {{ SC_(18.0), SC_(0.67001712322235107421875), SC_(-0.11209473575977880537554630008831322938651681961203), SC_(-0.28861574077574071045967706163764266303939167641235) }}, 
+      {{ SC_(18.0), SC_(0.81158387660980224609375), SC_(-0.059414308841952830929071045427642264332649709039605), SC_(0.36941533931174362399141104265754795528484218175544) }}, 
+      {{ SC_(18.0), SC_(0.826751708984375), SC_(-0.1661861116384618036402153021294856784649918532195), SC_(0.28742497280291907514593608858531889117823779493292) }}, 
+      {{ SC_(18.0), SC_(0.91501367092132568359375), SC_(0.24104179066621669826861428047478740284125071072384), SC_(-0.25816581242891276150855737931173321477113736399573) }}, 
+      {{ SC_(18.0), SC_(0.92977702617645263671875), SC_(0.30345956430814040115575308179633295683878952009221), SC_(0.053205379543234927660568467761641814470230916738039) }}, 
+      {{ SC_(18.0), SC_(0.93538987636566162109375), SC_(0.28695924419323148602457516358630434274549630594269), SC_(0.19040502613280754358590157800975680518526525190133) }}, 
+      {{ SC_(18.0), SC_(0.93773555755615234375), SC_(0.27214637032176476176235696410333280489913435468021), SC_(0.24695230662862708114901251701483136230530918002153) }}, 
+      {{ SC_(18.0), SC_(0.98576259613037109375), SC_(-0.30043454768104230746662772278855454488514250456508), SC_(-0.52586497321495004128692505709794988132542865806662) }}, 
+      {{ SC_(18.0), SC_(0.99292266368865966796875), SC_(0.10905904618186494808823511070262036756283922080124), SC_(-0.8190043052645567950966181297246945012178431035647) }}, 
+      {{ SC_(19.0), SC_(-0.804919183254241943359375), SC_(-0.13197080377202665736616914483295430386103226798339), SC_(0.30439185079461838727386102511417679445130143697504) }}, 
+      {{ SC_(19.0), SC_(-0.74602639675140380859375), SC_(-0.145888472515752488322967820082056444353328274887), SC_(-0.26146280837274387072049326070853702574943967213499) }}, 
+      {{ SC_(19.0), SC_(-0.72904598712921142578125), SC_(-0.049543273739376098938164118341034405465324305394334), SC_(-0.33399130950651187664252780722066231231086715215037) }}, 
+      {{ SC_(19.0), SC_(-0.62323606014251708984375), SC_(0.108462474462736719241499115773313996144190665045), SC_(0.27188868340165133975799203281538322711757069710654) }}, 
+      {{ SC_(19.0), SC_(-0.5579319000244140625), SC_(-0.16898700597587011902855624616392747901805702881528), SC_(0.16296957620279172219978419815087191821651266886829) }}, 
+      {{ SC_(19.0), SC_(-0.44300353527069091796875), SC_(0.086774244261237041187502205186727910747248943821998), SC_(-0.2669005399736008170995423913834449884708993279043) }}, 
+      {{ SC_(19.0), SC_(-0.38366591930389404296875), SC_(0.18518233719073980253783272267881493406790394149709), SC_(0.050815807727239433167794934837935315089529954541468) }}, 
+      {{ SC_(19.0), SC_(0.09376299381256103515625), SC_(-0.1749285947092888721974786955725138685456169025118), SC_(-0.073354024188019371331713593919507214584741353774141) }}, 
+      {{ SC_(19.0), SC_(0.0944411754608154296875), SC_(-0.17429825143908666454510603569046385180196182465626), SC_(-0.077001126265999192631865199712139132518527301044888) }}, 
+      {{ SC_(19.0), SC_(0.264718532562255859375), SC_(0.16022500206625985912825819052448183125933330717671), SC_(0.14198924834209712722889554522828334583526568794205) }}, 
+      {{ SC_(19.0), SC_(0.62944734096527099609375), SC_(-0.13438326361094362774586020859943409104199788819994), SC_(0.24300673266449070282404274854258133237165626165118) }}, 
+      {{ SC_(19.0), SC_(0.67001712322235107421875), SC_(-0.20602713406941943301157630033028134054188569383329), SC_(-0.060940372673870113382880029493240963759634545830116) }}, 
+      {{ SC_(19.0), SC_(0.81158387660980224609375), SC_(0.086971455844324875234132438927179131969983584970598), SC_(0.34508503887069582338167006750623249283260807122053) }}, 
+      {{ SC_(19.0), SC_(0.826751708984375), SC_(-0.033442914793680897952010218712581529745899360903155), SC_(0.37454337915916963566398826067574338174597268932648) }}, 
+      {{ SC_(19.0), SC_(0.91501367092132568359375), SC_(0.15007656103598576739971044779394255546718356845339), SC_(-0.37908868831917397336990106081043384870642885722423) }}, 
+      {{ SC_(19.0), SC_(0.92977702617645263671875), SC_(0.28693501649909716776829384064013974960722420152263), SC_(-0.12313038336912701300360856578205807776474791522058) }}, 
+      {{ SC_(19.0), SC_(0.93538987636566162109375), SC_(0.30324802829239922164147482899163792077902516015462), SC_(0.017801725881771420248228319415115282604840122400748) }}, 
+      {{ SC_(19.0), SC_(0.93773555755615234375), SC_(0.30185089350015097041813236342216465473811492066808), SC_(0.080512539757557010183574032982523614885735562454396) }}, 
+      {{ SC_(19.0), SC_(0.98576259613037109375), SC_(-0.34396150797274909426987918450335894287593307514199), SC_(-0.42686745322594445556165789826564473675847159812306) }}, 
+      {{ SC_(19.0), SC_(0.99292266368865966796875), SC_(0.043969381393564338898972458003559718667557179801894), SC_(-0.81279540498362619452519349374691829897388634698573) }}
+   }};
+
diff --git a/src/boost/libs/math/test/legendre_p_large.ipp b/src/boost/libs/math/test/legendre_p_large.ipp
new file mode 100644
index 000000000..4945445de
--- /dev/null
+++ b/src/boost/libs/math/test/legendre_p_large.ipp
@@ -0,0 +1,168 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 160> legendre_p_large = {{
+      {{ SC_(29.0), SC_(-0.74602639675140380859375), SC_(0.050915219643735786802064817454102557266509665552523), SC_(-0.27118035040452065163236941090242943684321195237749) }}, 
+      {{ SC_(29.0), SC_(-0.72904598712921142578125), SC_(0.15209960929167220423613043592541930303920942697128), SC_(-0.1438359066051312703697159687668902900032679225431) }}, 
+      {{ SC_(29.0), SC_(-0.5579319000244140625), SC_(0.15849246733249484229246386045081847903407720368835), SC_(-0.046562152771403674797644638451970346262085750814402) }}, 
+      {{ SC_(29.0), SC_(-0.38366591930389404296875), SC_(0.12421123432704035296982084866318407821031736589989), SC_(-0.13993608234219292039527623183264127314107515942999) }}, 
+      {{ SC_(29.0), SC_(0.264718532562255859375), SC_(0.14939214703729469665461134129487953904270632801499), SC_(0.011880798886655750194841085329195617037793542295307) }}, 
+      {{ SC_(29.0), SC_(0.62944734096527099609375), SC_(0.15752641351603055527713997332857496041323176430518), SC_(-0.085333543185746265108134728242042619782666873361817) }}, 
+      {{ SC_(29.0), SC_(0.67001712322235107421875), SC_(0.054837169775284662482177068305626352949947763721645), SC_(0.25355488589896471253311476119270056443895635234837) }}, 
+      {{ SC_(29.0), SC_(0.81158387660980224609375), SC_(0.063381360227496634467950288363046198618583970049264), SC_(0.28493842219370104406874711812243725560916796813782) }}, 
+      {{ SC_(29.0), SC_(0.826751708984375), SC_(-0.08420018636937566660354955907203801287585967235842), SC_(0.27769559592859630765679556893873497642068025145103) }}, 
+      {{ SC_(29.0), SC_(0.93773555755615234375), SC_(-0.24176816577505910452921016056528287088649954762181), SC_(0.094296671036158090707906492415425184420130303729612) }}, 
+      {{ SC_(32.0), SC_(-0.74602639675140380859375), SC_(-0.10624862108385367062544557604098705758947684718283), SC_(-0.21143967375447832725357384431573889445833865564692) }}, 
+      {{ SC_(32.0), SC_(-0.72904598712921142578125), SC_(0.025162565093345926014241859993355739041989277225088), SC_(-0.26274148479323222549160374105375114037174210402628) }}, 
+      {{ SC_(32.0), SC_(-0.5579319000244140625), SC_(0.14211456817063838568644446010057604214542220046016), SC_(-0.09163254161603810457705450004999666401809984055068) }}, 
+      {{ SC_(32.0), SC_(-0.38366591930389404296875), SC_(0.14171288019304087574298677776314705938680717437038), SC_(-0.052711866447932948820821929976771090258669811818703) }}, 
+      {{ SC_(32.0), SC_(0.264718532562255859375), SC_(-0.10746376970464863575465113222711354062288152228845), SC_(0.14703447108655800801097998317667773187484429086529) }}, 
+      {{ SC_(32.0), SC_(0.62944734096527099609375), SC_(-0.15721886386953844900014008976876572130375292635363), SC_(-0.03463115417113285817814346783115703627607698101613) }}, 
+      {{ SC_(32.0), SC_(0.67001712322235107421875), SC_(0.048628774250235041116639532793364743422360425715375), SC_(-0.24343097490553436355382554969125452470269482841518) }}, 
+      {{ SC_(32.0), SC_(0.81158387660980224609375), SC_(0.14709429758897851782623104453504062279048901484918), SC_(-0.17120780885496551232352932901235943774904473019944) }}, 
+      {{ SC_(32.0), SC_(0.826751708984375), SC_(0.18197608635110136442722424209924919380946511973609), SC_(0.064598428569533734464113024874557402334768980022172) }}, 
+      {{ SC_(32.0), SC_(0.93773555755615234375), SC_(-0.061512016664104396409494145001588438528631649237376), SC_(0.36010369834698605740012216441227373597825633684005) }}, 
+      {{ SC_(33.0), SC_(-0.74602639675140380859375), SC_(-0.010238220971698350467857407217583972140726845648941), SC_(0.26483415891807978747956511959896313413438051711664) }}, 
+      {{ SC_(33.0), SC_(-0.72904598712921142578125), SC_(-0.1308485763851203410864936505227876528881511136519), SC_(0.16199934006548616731309863119775152390583901324519) }}, 
+      {{ SC_(33.0), SC_(-0.5579319000244140625), SC_(-0.12577548566890528018101278253700971908249029962743), SC_(-0.13213214605592102018000812058769351569734360406003) }}, 
+      {{ SC_(33.0), SC_(-0.38366591930389404296875), SC_(-0.084070866208971510118625762007538569384131026389396), SC_(-0.18256278466727144314587766075483055968035831220494) }}, 
+      {{ SC_(33.0), SC_(0.264718532562255859375), SC_(0.060892666049180052331868898508597370624428803024817), SC_(0.19866890409777954034785008801181600022935344886198) }}, 
+      {{ SC_(33.0), SC_(0.62944734096527099609375), SC_(-0.11433728271514716149262038842691043741855456620044), SC_(0.16755876228487195768012212741139439591382292792337) }}, 
+      {{ SC_(33.0), SC_(0.67001712322235107421875), SC_(-0.081236062053488889130078168052517557727777089991736), SC_(-0.21649027108290998691804424765459226889986656795972) }}, 
+      {{ SC_(33.0), SC_(0.81158387660980224609375), SC_(0.054836608100875136695247613465739163323207341583917), SC_(-0.26983701252599468973584716961923532939147494467454) }}, 
+      {{ SC_(33.0), SC_(0.826751708984375), SC_(0.17096451544704338934795787534509579387648987239154), SC_(-0.10583253904494668067403419241018401345294284279768) }}, 
+      {{ SC_(33.0), SC_(0.93773555755615234375), SC_(0.021689551526675134145413087356244487320455743955836), SC_(0.36566095216176988383802606024502153062571425905414) }}, 
+      {{ SC_(38.0), SC_(-0.74602639675140380859375), SC_(-0.084123836557398448368713685848077796605866311328419), SC_(0.20927452879651299362933031503631704855861507328485) }}, 
+      {{ SC_(38.0), SC_(-0.72904598712921142578125), SC_(-0.15529625891826503441381053635222357317586896447525), SC_(0.0095728141123042996678374510905606631222574103483576) }}, 
+      {{ SC_(38.0), SC_(-0.5579319000244140625), SC_(0.098453621336514494698473554065871517874604718865768), SC_(-0.15887228344501787123307716070402047502579097616639) }}, 
+      {{ SC_(38.0), SC_(-0.38366591930389404296875), SC_(0.1142998723616291395401060145662954970184529162179), SC_(0.10927652072714659779878476348183517273638952750771) }}, 
+      {{ SC_(38.0), SC_(0.264718532562255859375), SC_(0.082342405948218235800013849335056084637027957309688), SC_(0.15992426917043357157539330709673818274284050011282) }}, 
+      {{ SC_(38.0), SC_(0.62944734096527099609375), SC_(-0.068455729281013919450961847170789295612305662562268), SC_(-0.20232791952033959865517436817152841139901171805722) }}, 
+      {{ SC_(38.0), SC_(0.67001712322235107421875), SC_(0.14923503774161864776328729535793778940014260423005), SC_(-0.00081555462858474175721539924197608607382214710104177) }}, 
+      {{ SC_(38.0), SC_(0.81158387660980224609375), SC_(-0.054544375275263481570647398342926037642622621118648), SC_(0.24995338198241340981855015694448657310842038102797) }}, 
+      {{ SC_(38.0), SC_(0.826751708984375), SC_(-0.16721624694409901980215061835708625790102572947942), SC_(0.059275472334568365380770389586353873529433513464428) }}, 
+      {{ SC_(38.0), SC_(0.93773555755615234375), SC_(0.20855301957399606773775871068964050472366514949047), SC_(-0.10030484670657737103060450542322599342156588398843) }}, 
+      {{ SC_(42.0), SC_(-0.74602639675140380859375), SC_(0.049566019304086784068530075774279790089365026819016), SC_(-0.2223326328142980698042327834311390349548637605267) }}, 
+      {{ SC_(42.0), SC_(-0.72904598712921142578125), SC_(0.14591441453221755504339013126253144361512927416181), SC_(-0.03816847032424030854934985301169674005663852971074) }}, 
+      {{ SC_(42.0), SC_(-0.5579319000244140625), SC_(-0.13430204358943900275964577227355331227334636201161), SC_(0.0051973684528497691222879613574650304460896053520729) }}, 
+      {{ SC_(42.0), SC_(-0.38366591930389404296875), SC_(0.065763896800574200794337123835235188691341407252599), SC_(-0.1713134367479732947155934942710203117432539046046) }}, 
+      {{ SC_(42.0), SC_(0.264718532562255859375), SC_(-0.047554509216288149280305803250205697401306151867419), SC_(0.18095441384071096874666701309266904943143926028736) }}, 
+      {{ SC_(42.0), SC_(0.62944734096527099609375), SC_(0.10935216508815166523730605326515550073363675346191), SC_(0.1343668237290581228732195022404437327151868599812) }}, 
+      {{ SC_(42.0), SC_(0.67001712322235107421875), SC_(-0.13896760821264559453299826838169576033084249809532), SC_(0.046166285445723758516981086429175967795330032118854) }}, 
+      {{ SC_(42.0), SC_(0.81158387660980224609375), SC_(0.13257761059856394025891806012454608734090842373859), SC_(-0.14099679657580961322235886444766213263432122864624) }}, 
+      {{ SC_(42.0), SC_(0.826751708984375), SC_(0.14083726257982003772240761087663193372628899052788), SC_(0.12939522669379464935358907263220136856872326106689) }}, 
+      {{ SC_(42.0), SC_(0.93773555755615234375), SC_(-0.030227297367381724405890694551090646808341233639839), SC_(-0.32263036348629243619745931620595788155104891833781) }}, 
+      {{ SC_(47.0), SC_(-0.74602639675140380859375), SC_(0.10555867750979365926641158999955582823336205722782), SC_(-0.14886382691569576113160226420850148145570650896964) }}, 
+      {{ SC_(47.0), SC_(-0.72904598712921142578125), SC_(0.12518796913926798559687521769888776380193823473818), SC_(0.098180244656107285818363063590386661434884234727998) }}, 
+      {{ SC_(47.0), SC_(-0.5579319000244140625), SC_(0.019958376774871797942991524370694468827252910590651), SC_(-0.19713453245538155745224332261651795745681090546712) }}, 
+      {{ SC_(47.0), SC_(-0.38366591930389404296875), SC_(-0.017374612252196858651395396286373314512171227712276), SC_(0.18725030551272538736891544492946995866076663640595) }}, 
+      {{ SC_(47.0), SC_(0.264718532562255859375), SC_(-0.018801793887180091986096938136652872878107965315931), SC_(0.1828072182041642441226028996345379902315722570693) }}, 
+      {{ SC_(47.0), SC_(0.62944734096527099609375), SC_(-0.10497355122531684338594399243517694074545593042325), SC_(0.12395441308292615650354652321967372630461017577647) }}, 
+      {{ SC_(47.0), SC_(0.67001712322235107421875), SC_(0.042375691594523493089898030922098260697978949901084), SC_(-0.20027976349819205062196975868907081288964978457637) }}, 
+      {{ SC_(47.0), SC_(0.81158387660980224609375), SC_(-0.12720249332232236538255468589569255750641552199498), SC_(0.12911204921470701304207453622146811162549192306205) }}, 
+      {{ SC_(47.0), SC_(0.826751708984375), SC_(-0.11972156572489977935845748400575031716451757509736), SC_(-0.15299307930087258161082851169709559917733372444518) }}, 
+      {{ SC_(47.0), SC_(0.93773555755615234375), SC_(-0.18448824265114203879229766781768231984156422989655), SC_(0.10574076834730194623398317285604209247245691580845) }}, 
+      {{ SC_(50.0), SC_(-0.74602639675140380859375), SC_(-0.015930599657360476251420277903683541838529410897537), SC_(-0.21465912896739233133099578206788459237386714150655) }}, 
+      {{ SC_(50.0), SC_(-0.72904598712921142578125), SC_(0.12409002491708828479268113070514774903536846383229), SC_(-0.086287169891479867966715770145964370224141052863963) }}, 
+      {{ SC_(50.0), SC_(-0.5579319000244140625), SC_(-0.005798165247856899753189081564247189672477629817479), SC_(-0.19337852580649058999917721542653095981057374271772) }}, 
+      {{ SC_(50.0), SC_(-0.38366591930389404296875), SC_(-0.059497023650103635064046099627669865791536750381894), SC_(0.15794384507010689572165607053156094367974620258235) }}, 
+      {{ SC_(50.0), SC_(0.264718532562255859375), SC_(-0.065209573905631036859687403696160942576965840778783), SC_(-0.14751871407424188124249576268838594921576865374728) }}, 
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+      {{ SC_(119.0), SC_(0.826751708984375), SC_(0.0070994904638281005505473502488606481760552210237098), SC_(-0.15244878741668898076438519389186244649902911784835) }}, 
+      {{ SC_(119.0), SC_(0.93773555755615234375), SC_(-0.089511411656126705336943924861664813522610049042024), SC_(0.13442707735952316190476066030580938662981623871763) }}
+   }};
+
diff --git a/src/boost/libs/math/test/legendre_stieltjes_test.cpp b/src/boost/libs/math/test/legendre_stieltjes_test.cpp
new file mode 100644
index 000000000..e64d64318
--- /dev/null
+++ b/src/boost/libs/math/test/legendre_stieltjes_test.cpp
@@ -0,0 +1,141 @@
+// Copyright Nick Thompson 2017.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/legendre_stieltjes.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+
+using boost::math::legendre_stieltjes;
+using boost::math::legendre_p;
+using boost::multiprecision::cpp_bin_float_quad;
+
+
+template<class Real>
+void test_legendre_stieltjes()
+{
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    using std::sqrt;
+    using std::abs;
+    using boost::math::constants::third;
+    using boost::math::constants::half;
+
+    Real tol = std::numeric_limits<Real>::epsilon();
+    legendre_stieltjes<Real> ls1(1);
+    legendre_stieltjes<Real> ls2(2);
+    legendre_stieltjes<Real> ls3(3);
+    legendre_stieltjes<Real> ls4(4);
+    legendre_stieltjes<Real> ls5(5);
+    legendre_stieltjes<Real> ls8(8);
+    Real x = -1;
+    while(x <= 1)
+    {
+        BOOST_CHECK_CLOSE_FRACTION(ls1(x), x, tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls1.prime(x), 1, tol);
+
+        Real p2 = legendre_p(2, x);
+        BOOST_CHECK_CLOSE_FRACTION(ls2(x), p2 - 2/static_cast<Real>(5), tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls2.prime(x), 3*x, tol);
+
+        Real p3 = legendre_p(3, x);
+        BOOST_CHECK_CLOSE_FRACTION(ls3(x), p3 - 9*x/static_cast<Real>(14), 600*tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls3.prime(x), 15*x*x*half<Real>() -3*half<Real>()-9/static_cast<Real>(14), 100*tol);
+
+        Real p4 = legendre_p(4, x);
+        //-20P_2(x)/27 + 14P_0(x)/891
+        Real E4 = p4 - 20*p2/static_cast<Real>(27) + 14/static_cast<Real>(891);
+        BOOST_CHECK_CLOSE_FRACTION(ls4(x), E4, 250*tol);
+        BOOST_CHECK_CLOSE_FRACTION(ls4.prime(x), 35*x*(9*x*x -5)/static_cast<Real>(18), 250*tol);
+
+        Real p5 = legendre_p(5, x);
+        Real E5 = p5 - 35*p3/static_cast<Real>(44) + 135*x/static_cast<Real>(12584);
+        BOOST_CHECK_CLOSE_FRACTION(ls5(x), E5, 29000*tol);
+        Real E5prime = (315*(123 + 143*x*x*(11*x*x-9)))/static_cast<Real>(12584);
+        BOOST_CHECK_CLOSE_FRACTION(ls5.prime(x), E5prime, 29000*tol);
+        x += 1/static_cast<Real>(1 << 9);
+    }
+
+    // Test norm:
+    // E_1 = x
+    Real expected_norm_sq = 2*third<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls1.norm_sq(), tol);
+
+    // E_2 = P[sub 2](x) - 2P[sup 0](x)/5
+    expected_norm_sq = 2/static_cast<Real>(5) + 8/static_cast<Real>(25);
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls2.norm_sq(), tol);
+
+    // E_3 = P[sub 3](x) - 9P[sub 1]/14
+    expected_norm_sq = 2/static_cast<Real>(7) + 9*9*2*third<Real>()/static_cast<Real>(14*14);
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls3.norm_sq(), tol);
+
+    // E_4 = P[sub 4](x) -20P[sub 2](x)/27 + 14P[sub 0](x)/891
+    expected_norm_sq = static_cast<Real>(2)/static_cast<Real>(9) + static_cast<Real>(20*20*2)/static_cast<Real>(27*27*5) + 14*14*2/static_cast<Real>(891*891);
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls4.norm_sq(), tol);
+
+    // E_5 = P[sub 5](x) - 35P[sub 3](x)/44 + 135P[sub 1](x)/12584
+    expected_norm_sq = 2/static_cast<Real>(11) + (35*35/static_cast<Real>(44*44))*(2/static_cast<Real>(7)) + (135*135/static_cast<Real>(12584*12584))*2*third<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(expected_norm_sq, ls5.norm_sq(), tol);
+
+    // Only zero of E1 is 0:
+    std::vector<Real> zeros = ls1.zeros();
+    BOOST_CHECK(zeros.size() == 1);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_SMALL(ls1(zeros[0]), tol);
+
+    zeros = ls2.zeros();
+    BOOST_CHECK(zeros.size() == 1);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], sqrt(3/static_cast<Real>(5)), tol);
+    BOOST_CHECK_SMALL(ls2(zeros[0]), tol);
+
+    zeros = ls3.zeros();
+    BOOST_CHECK(zeros.size() == 2);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], sqrt(6/static_cast<Real>(7)), tol);
+
+
+    zeros = ls4.zeros();
+    BOOST_CHECK(zeros.size() == 2);
+    Real expected = sqrt( (55 - 2*sqrt(static_cast<Real>(330)))/static_cast<Real>(11) )/static_cast<Real>(3);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], expected, tol);
+
+    expected = sqrt( (55 + 2*sqrt(static_cast<Real>(330)))/static_cast<Real>(11) )/static_cast<Real>(3);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], expected, 10*tol);
+
+
+    zeros = ls5.zeros();
+    BOOST_CHECK(zeros.size() == 3);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+
+    expected = sqrt( ( 195 - sqrt(static_cast<Real>(6045)) )/static_cast<Real>(286));
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], expected, tol);
+
+    expected = sqrt( ( 195 + sqrt(static_cast<Real>(6045)) )/static_cast<Real>(286));
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], expected, tol);
+
+
+    for (size_t i = 6; i < 50; ++i)
+    {
+        legendre_stieltjes<Real> En(i);
+        zeros = En.zeros();
+        for(auto const & zero : zeros)
+        {
+            BOOST_CHECK_SMALL(En(zero), 50*tol);
+        }
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(LegendreStieltjesZeros)
+{
+    test_legendre_stieltjes<double>();
+    test_legendre_stieltjes<long double>();
+    test_legendre_stieltjes<cpp_bin_float_quad>();
+    //test_legendre_stieltjes<boost::multiprecision::cpp_bin_float_100>();
+}
diff --git a/src/boost/libs/math/test/linear_regression_test.cpp b/src/boost/libs/math/test/linear_regression_test.cpp
new file mode 100644
index 000000000..fb5bc6473
--- /dev/null
+++ b/src/boost/libs/math/test/linear_regression_test.cpp
@@ -0,0 +1,176 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <vector>
+#include <random>
+#include <boost/math/statistics/linear_regression.hpp>
+
+using boost::math::statistics::simple_ordinary_least_squares;
+using boost::math::statistics::simple_ordinary_least_squares_with_R_squared;
+
+template<typename Real>
+void test_line()
+{
+    std::vector<Real> x(128);
+    std::vector<Real> y(128);
+    Real expected_c0 = 7;
+    Real expected_c1 = 12;
+    for (size_t i = 0; i < x.size(); ++i) {
+        x[i] = i;
+        y[i] = expected_c0 + expected_c1*x[i];
+    }
+
+    auto [computed_c0, computed_c1] = simple_ordinary_least_squares(x, y);
+
+    CHECK_ULP_CLOSE(expected_c0, computed_c0, 0);
+    CHECK_ULP_CLOSE(expected_c1, computed_c1, 0);
+
+    auto [computed_c0_R, computed_c1_R, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y);
+
+    Real expected_Rsquared = 1;
+    CHECK_ULP_CLOSE(expected_c0, computed_c0, 0);
+    CHECK_ULP_CLOSE(expected_c1, computed_c1, 0);
+    CHECK_ULP_CLOSE(expected_Rsquared, Rsquared, 0);
+
+}
+
+template<typename Real>
+void test_constant()
+{
+    std::vector<Real> x(128);
+    std::vector<Real> y(128);
+    Real expected_c0 = 7;
+    Real expected_c1 = 0;
+    for (size_t i = 0; i < x.size(); ++i) {
+        x[i] = i;
+        y[i] = expected_c0 + expected_c1*x[i];
+    }
+
+    auto [computed_c0, computed_c1] = simple_ordinary_least_squares(x, y);
+
+    CHECK_ULP_CLOSE(expected_c0, computed_c0, 0);
+    CHECK_ULP_CLOSE(expected_c1, computed_c1, 0);
+
+    auto [computed_c0_R, computed_c1_R, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y);
+
+    Real expected_Rsquared = 1;
+    CHECK_ULP_CLOSE(expected_c0, computed_c0, 0);
+    CHECK_ULP_CLOSE(expected_c1, computed_c1, 0);
+    CHECK_ULP_CLOSE(expected_Rsquared, Rsquared, 0);
+
+}
+
+template<typename Real>
+void test_permutation_invariance()
+{
+    std::vector<Real> x(256);
+    std::vector<Real> y(256);
+    std::mt19937_64 gen{123456};
+    std::normal_distribution<Real> dis(0, 0.1);
+
+    Real expected_c0 = -7.2;
+    Real expected_c1 = -13.5;
+
+    x[0] = 0;
+    y[0] = expected_c0 + dis(gen);
+    for(size_t i = 1; i < x.size(); ++i) {
+        Real t = dis(gen);
+        x[i] = x[i-1] + t*t;
+        y[i] = expected_c0 + expected_c1*x[i] + dis(gen);
+    }
+
+    auto [c0, c1, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y);
+    CHECK_MOLLIFIED_CLOSE(expected_c0, c0, 0.002);
+    CHECK_MOLLIFIED_CLOSE(expected_c1, c1, 0.002);
+
+    int j = 0;
+    std::mt19937_64 gen1{12345};
+    std::mt19937_64 gen2{12345};
+    while(j++ < 10) {
+        std::shuffle(x.begin(), x.end(), gen1);
+        std::shuffle(y.begin(), y.end(), gen2);
+        auto [c0_, c1_, Rsquared_] = simple_ordinary_least_squares_with_R_squared(x, y);
+
+        CHECK_ULP_CLOSE(c0, c0_, 100);
+        CHECK_ULP_CLOSE(c1, c1_, 100);
+        CHECK_ULP_CLOSE(Rsquared, Rsquared_, 65);
+    }
+}
+
+template<typename Real>
+void test_scaling_relations()
+{
+    std::vector<Real> x(256);
+    std::vector<Real> y(256);
+    std::mt19937_64 gen{123456};
+    std::normal_distribution<Real> dis(0, 0.1);
+
+    Real expected_c0 = 3.2;
+    Real expected_c1 = -13.5;
+
+    x[0] = 0;
+    y[0] = expected_c0 + dis(gen);
+    for(size_t i = 1; i < x.size(); ++i) {
+        Real t = dis(gen);
+        x[i] = x[i-1] + t*t;
+        y[i] = expected_c0 + expected_c1*x[i] + dis(gen);
+    }
+
+    auto [c0, c1, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y);
+    CHECK_MOLLIFIED_CLOSE(expected_c0, c0, 0.005);
+    CHECK_MOLLIFIED_CLOSE(expected_c1, c1, 0.005);
+
+    // If y -> lambda y, then c0 -> lambda c0 and c1 -> lambda c1.
+    Real lambda = 6;
+
+    for (auto& s : y) {
+        s *= lambda;
+    }
+
+    auto [c0_lambda, c1_lambda, Rsquared_lambda] = simple_ordinary_least_squares_with_R_squared(x, y);
+
+    CHECK_ULP_CLOSE(lambda*c0, c0_lambda, 30);
+    CHECK_ULP_CLOSE(lambda*c1, c1_lambda, 30);
+    CHECK_ULP_CLOSE(Rsquared, Rsquared_lambda, 3);
+
+    // If x -> lambda x, then c0 -> c0 and c1 -> c1/lambda
+    for (auto& s : x) {
+        s *= lambda;
+    }
+    // Put y back into it's original state:
+    for (auto& s : y) {
+        s /= lambda;
+    }
+    auto [c0_, c1_, Rsquared_] = simple_ordinary_least_squares_with_R_squared(x, y);
+
+    CHECK_ULP_CLOSE(c0, c0_, 50);
+    CHECK_ULP_CLOSE(c1, c1_*lambda, 50);
+    CHECK_ULP_CLOSE(Rsquared, Rsquared_, 50);
+
+}
+
+
+int main()
+{
+    test_line<float>();
+    test_line<double>();
+    test_line<long double>();
+
+    test_constant<float>();
+    test_constant<double>();
+    test_constant<long double>();
+
+    test_permutation_invariance<float>();
+    test_permutation_invariance<double>();
+    test_permutation_invariance<long double>();
+
+    test_scaling_relations<float>();
+    test_scaling_relations<double>();
+    test_scaling_relations<long double>();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/ljung_box_test.cpp b/src/boost/libs/math/test/ljung_box_test.cpp
new file mode 100644
index 000000000..2c647b95d
--- /dev/null
+++ b/src/boost/libs/math/test/ljung_box_test.cpp
@@ -0,0 +1,54 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/math/statistics/ljung_box.hpp>
+
+using boost::math::statistics::ljung_box;
+
+template<class Real>
+void test_trivial()
+{
+
+  // Validate in R:
+  // > v <- c(1,2)
+  // > Box.test(v, lag=1, "Ljung")
+  //	Box-Ljung test
+  // data:  v
+  // X-squared = 2, df = 1, p-value = 0.1573
+
+  std::vector<Real> v{1,2};
+
+  double expected_statistic = 2;
+  double expected_pvalue = 0.15729920705028455;
+
+  auto [computed_statistic, computed_pvalue] = ljung_box(v, 1);
+  CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 10);
+  CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 30);
+}
+
+
+void test_agreement_with_mathematica()
+{
+  std::vector<double> v{0.7739928761039216,-0.4468259278452086,0.98287381303903,-0.3943029116201079,0.6569015496559457};
+  double expected_statistic = 10.2076093223439;
+  double expected_pvalue = 0.00607359458123835072;
+
+  auto [computed_statistic, computed_pvalue] = ljung_box(v);
+  CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 3);
+  CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+}
+
+int main()
+{
+    test_trivial<double>();
+    test_agreement_with_mathematica();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/log1p_expm1_data.ipp b/src/boost/libs/math/test/log1p_expm1_data.ipp
new file mode 100644
index 000000000..a647c60be
--- /dev/null
+++ b/src/boost/libs/math/test/log1p_expm1_data.ipp
@@ -0,0 +1,91 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 80> log1p_expm1_data = { {
+      {{ SC_(-0.69330310821533203125e0), SC_(-0.1181895342296499380302723361817935835636e1), SC_(-0.5000779577496508480606742934033661111325e0) }}, 
+      {{ SC_(-0.650003612041473388671875e0), SC_(-0.1049832444670425873798449427248829256278e1), SC_(-0.477956108886575099597621504254337139212e0) }}, 
+      {{ SC_(-0.5634434223175048828125e0), SC_(-0.8288372954181591063099417140530721209296e0), SC_(-0.4307544676154126107123951950891833745657e0) }}, 
+      {{ SC_(-0.546193540096282958984375e0), SC_(-0.7900844716039173375586798387434829539395e0), SC_(-0.4208498682390169422105137923243733478616e0) }}, 
+      {{ SC_(-0.542549669742584228515625e0), SC_(-0.7820869679038185958797390511513816016257e0), SC_(-0.4187356706519199578716316143188015118402e0) }}, 
+      {{ SC_(-0.5222184658050537109375e0), SC_(-0.7386016923991178813343233368825674656574e0), SC_(-0.4067969136237976293436891521638796489665e0) }}, 
+      {{ SC_(-0.510332167148590087890625e0), SC_(-0.7140280098902130849529032452448458253718e0), SC_(-0.3997038529677125427667940816216463479375e0) }}, 
+      {{ SC_(-0.50135910511016845703125e0), SC_(-0.6958690918220109127943821843553816517932e0), SC_(-0.3942931192785328340465460021958309251731e0) }}, 
+      {{ SC_(-0.479341685771942138671875e0), SC_(-0.6526612791947966365578043302467499708984e0), SC_(-0.3808091201700817035685503987715593769588e0) }}, 
+      {{ SC_(-0.4362652301788330078125e0), SC_(-0.5731714043684679946812364099230074705554e0), SC_(-0.3535537538578334381043477595638178633635e0) }}, 
+      {{ SC_(-0.4033059179782867431640625e0), SC_(-0.5163507223485766856253687547437478575359e0), SC_(-0.3318923180936536087108170796894639170118e0) }}, 
+      {{ SC_(-0.3905523121356964111328125e0), SC_(-0.4952021616945213559322173628246423264147e0), SC_(-0.3233169689815286035820337522007644642142e0) }}, 
+      {{ SC_(-0.3101024627685546875e0), SC_(-0.3712121891835896680955152331639073308925e0), SC_(-0.2666281909314749260551669118328805822824e0) }}, 
+      {{ SC_(-0.2841587960720062255859375e0), SC_(-0.3342969188422780419049667231102322921458e0), SC_(-0.247352882189668478949423010818860745509e0) }}, 
+      {{ SC_(-0.268566131591796875e0), SC_(-0.3127484680657795755742977783527708289938e0), SC_(-0.2355251348015818742687440901815837983695e0) }}, 
+      {{ SC_(-0.19418840110301971435546875e0), SC_(-0.215905312065666655084617543044814851896e0), SC_(-0.1764972591721576227824907304661137322776e0) }}, 
+      {{ SC_(-0.14176605641841888427734375e0), SC_(-0.1528785551425763265780363302506293842933e0), SC_(-0.1321757453457543023426366655287893957346e0) }}, 
+      {{ SC_(-0.109534211456775665283203125e0), SC_(-0.1160105952462048156067755365883457898243e0), SC_(-0.1037484982319069072752933517880363955799e0) }}, 
+      {{ SC_(-0.2047410048544406890869140625e-1), SC_(-0.2068660038044094868521052319477265955827e-1), SC_(-0.2026592921724753704129022027337835687888e-1) }}, 
+      {{ SC_(0.1690093176520690576580818742513656616211e-8), SC_(0.1690093175092483105529122131518271037775e-8), SC_(0.16900931779488980500463190560092746436e-8) }}, 
+      {{ SC_(0.2114990849122477811761200428009033203125e-8), SC_(0.2114990846885884668978873262661703032735e-8), SC_(0.2114990851359070959273901626052243209537e-8) }}, 
+      {{ SC_(0.7099628440698779741069301962852478027344e-8), SC_(0.7099628415496417862364745346932718974223e-8), SC_(0.7099628465901141798701264063185361883662e-8) }}, 
+      {{ SC_(0.136718796284185373224318027496337890625e-7), SC_(0.1367187953495839188729947299064627330362e-7), SC_(0.1367187972187868403533999531964021065056e-7) }}, 
+      {{ SC_(0.1679341288252089725574478507041931152344e-7), SC_(0.1679341274151154071302093036120830402912e-7), SC_(0.1679341302353025616649699444201095417115e-7) }}, 
+      {{ SC_(0.586768322818898013792932033538818359375e-7), SC_(0.5867683056040454540164807679535005383825e-7), SC_(0.5867683400337515836824145241465956859382e-7) }}, 
+      {{ SC_(0.1140460881288163363933563232421875e-6), SC_(0.1140460816255617220976462903776019835232e-6), SC_(0.1140460946320716923598363683695123099251e-6) }}, 
+      {{ SC_(0.1455586016163579188287258148193359375e-6), SC_(0.1455585910227056945720521239406972268757e-6), SC_(0.1455586122100116850826593912609916845078e-6) }}, 
+      {{ SC_(0.38918477685001562349498271942138671875e-6), SC_(0.3891847011176400068545868550436683472421e-6), SC_(0.3891848525824207140259509650302544482884e-6) }}, 
+      {{ SC_(0.623782625552848912775516510009765625e-6), SC_(0.6237824310005478475318960793412787601785e-6), SC_(0.623782820105271336383228077398355607783e-6) }}, 
+      {{ SC_(0.104669607026153244078159332275390625e-5), SC_(0.1046695522475582933881286527214809459507e-5), SC_(0.1046696618048055313232628353357778906342e-5) }}, 
+      {{ SC_(0.2951089072666945867240428924560546875e-5), SC_(0.2951084718212155380639451770777340673208e-5), SC_(0.2951093427134586747271699561094046027716e-5) }}, 
+      {{ SC_(0.4877083483734168112277984619140625e-5), SC_(0.4877071590801182991613986686611799404767e-5), SC_(0.487709537672515613069814424540824650525e-5) }}, 
+      {{ SC_(0.9066634447663091123104095458984375e-5), SC_(0.9066593345981423108474522054350755440144e-5), SC_(0.9066675549717413905283549214899456610946e-5) }}, 
+      {{ SC_(0.2360353755648247897624969482421875e-4), SC_(0.2360325899737320048013584393963240356542e-4), SC_(0.236038161221667766684232806678163246188e-4) }}, 
+      {{ SC_(0.60817910707555711269378662109375e-4), SC_(0.6081606137340567462263175491115417378507e-4), SC_(0.6081976015418009724388783415958425809014e-4) }}, 
+      {{ SC_(0.119476739200763404369354248046875e-3), SC_(0.1194696024236052968763590872811035649465e-3), SC_(0.1194838768306258449523761123420162837989e-3) }}, 
+      {{ SC_(0.2437086659483611583709716796875e-3), SC_(0.2436789738154874267053728955508067082563e-3), SC_(0.2437383653179059006664060856490910639369e-3) }}, 
+      {{ SC_(0.47970912419259548187255859375e-3), SC_(0.4795941005544676642733520039561612799338e-3), SC_(0.4798242030152303995117671825532525519771e-3) }}, 
+      {{ SC_(0.960788573138415813446044921875e-3), SC_(0.9603273112237537137213831663159454349065e-3), SC_(0.9612502783347382477096533911074491600195e-3) }}, 
+      {{ SC_(0.113048148341476917266845703125e-2), SC_(0.112984297039538753162021050860817616211e-2), SC_(0.1131120718465376073328378699867756887911e-2) }}, 
+      {{ SC_(0.33707791008055210113525390625e-2), SC_(0.3365110759179022039875145678841719780479e-2), SC_(0.3376466565278741394700008076507908493073e-2) }}, 
+      {{ SC_(0.512778759002685546875e-2), SC_(0.5114685258802700303545874906083848033916e-2), SC_(0.5140957193498527263160102812012697907234e-2) }}, 
+      {{ SC_(0.7697627879679203033447265625e-2), SC_(0.7668152306886386648889951166330157951323e-2), SC_(0.7727330782215801339522867700900079915854e-2) }}, 
+      {{ SC_(0.154774188995361328125e-1), SC_(0.1535886535535876489145011045382406354476e-1), SC_(0.1559781448309931312470733745915557934013e-1) }}, 
+      {{ SC_(0.305807329714298248291015625e-1), SC_(0.3012246177452263928099228685195389251529e-1), SC_(0.3105312667138388983748287762435717112768e-1) }}, 
+      {{ SC_(0.346831791102886199951171875e-1), SC_(0.3409527271716101078966670703672108048896e-1), SC_(0.3529165481200088712490838501531684667149e-1) }}, 
+      {{ SC_(0.65634094178676605224609375e-1), SC_(0.6357001557994644965537090025497140391848e-1), SC_(0.6783591829384049159063415288088650400045e-1) }}, 
+      {{ SC_(0.6610882282257080078125e-1), SC_(0.6401540573272318085520396443445644947172e-1), SC_(0.6834297093791793596420077701374399081879e-1) }}, 
+      {{ SC_(0.9283597767353057861328125e-1), SC_(0.8877613176091369848730538080276748892544e-1), SC_(0.9728174180292914206798492307510621372797e-1) }}, 
+      {{ SC_(0.1853029727935791015625e0), SC_(0.1699984151517873986675151014366108622057e0), SC_(0.2035830378085867638230987836336350617284e0) }}, 
+      {{ SC_(0.195668697357177734375e0), SC_(0.1787056082557073958655865192859050644124e0), SC_(0.2161239335120153310995245962871550390859e0) }}, 
+      {{ SC_(0.218036949634552001953125e0), SC_(0.1972405051449346869157040783806052110702e0), SC_(0.2436330185556740271801313404522599276529e0) }}, 
+      {{ SC_(0.22476322948932647705078125e0), SC_(0.2027475432657783430097849833923015479242e0), SC_(0.2520262382028310304455135247279894706452e0) }}, 
+      {{ SC_(0.250229179859161376953125e0), SC_(0.2233268783961024315029665215194302402664e0), SC_(0.2843197231751691135236590716143900016849e0) }}, 
+      {{ SC_(0.253903329372406005859375e0), SC_(0.2262613494244882135168356599690803021814e0), SC_(0.2890471852440059179173797372107595021134e0) }}, 
+      {{ SC_(0.3161745369434356689453125e0), SC_(0.2747294509656754848973082105230889771257e0), SC_(0.3718696766716845552650417052219688730639e0) }}, 
+      {{ SC_(0.409090220928192138671875e0), SC_(0.3429442627531700751753321547062422000484e0), SC_(0.5054475372328648428694815984023805796901e0) }}, 
+      {{ SC_(0.41710007190704345703125e0), SC_(0.3486125805910782371810230966107318794672e0), SC_(0.5175543698964877990407235081110698982288e0) }}, 
+      {{ SC_(0.4173481762409210205078125e0), SC_(0.3487876441750920349995178382655357863143e0), SC_(0.5179309284235235985742545616245146385983e0) }}, 
+      {{ SC_(0.42039263248443603515625e0), SC_(0.3509333351432084595068912946293452186787e0), SC_(0.522559244493788135782100429719474184743e0) }}, 
+      {{ SC_(0.4406131207942962646484375e0), SC_(0.3650688012994099484177768785497336743499e0), SC_(0.5536595074987176176278695373720601072416e0) }}, 
+      {{ SC_(0.4500701129436492919921875e0), SC_(0.3716119090177188338876380950054248074284e0), SC_(0.5684221483289186932443765450666370231476e0) }}, 
+      {{ SC_(0.4690119922161102294921875e0), SC_(0.3845900606819792767555511238898325590012e0), SC_(0.5984141671678306664208145374987554621041e0) }}, 
+      {{ SC_(0.488781034946441650390625e0), SC_(0.3979576877817231446668587804772904526162e0), SC_(0.6303276957438828775174515106733850816524e0) }}, 
+      {{ SC_(0.52980291843414306640625e0), SC_(0.4251389156264805389990504406429844143619e0), SC_(0.6985975133709526468615664928080778563331e0) }}, 
+      {{ SC_(0.56810867786407470703125e0), SC_(0.4498702293886911216071551868503271338352e0), SC_(0.7649258494577443195036874224587751059599e0) }}, 
+      {{ SC_(0.57872617244720458984375e0), SC_(0.4566183018986474768197353974513078612477e0), SC_(0.7837647742172442075416378527651943088102e0) }}, 
+      {{ SC_(0.582029759883880615234375e0), SC_(0.4587086807259736626531803258754840111707e0), SC_(0.7896673415707786528734865994546559029663e0) }}, 
+      {{ SC_(0.607590496540069580078125e0), SC_(0.474736471992995596813856979079879927429e0), SC_(0.836002211172822800500580737750918478977e0) }}, 
+      {{ SC_(0.640033721923828125e0), SC_(0.4947168037733846594212322562172572984505e0), SC_(0.8965448333670257147748892521303229061693e0) }}, 
+      {{ SC_(0.640509545803070068359375e0), SC_(0.4950068922396821400142385044888446891867e0), SC_(0.8974474694176578931586020775970152155848e0) }}, 
+      {{ SC_(0.643289387226104736328125e0), SC_(0.4966999569758336894986723845165627033027e0), SC_(0.9027294105692233274199303070362746252986e0) }}, 
+      {{ SC_(0.64851474761962890625e0), SC_(0.4998747295737266888041967257469236722589e0), SC_(0.9126978792095101927158614842576974964632e0) }}, 
+      {{ SC_(0.650843918323516845703125e0), SC_(0.5012866228091318430397939496252397876475e0), SC_(0.9171580713331758702589264747154474769605e0) }}, 
+      {{ SC_(0.65477287769317626953125e0), SC_(0.5036637653893261974582119443232408393674e0), SC_(0.9247053242168904876365979871823094489023e0) }}, 
+      {{ SC_(0.65641486644744873046875e0), SC_(0.504655547804425337585747233639878779038e0), SC_(0.927868264760303541518755094801625468889e0) }}, 
+      {{ SC_(0.6588299274444580078125e0), SC_(0.5061124908504770714998094003973873746865e0), SC_(0.932529810907327764547265337859703076731e0) }}, 
+      {{ SC_(0.673553526401519775390625e0), SC_(0.5149492258613715166147831918156453824087e0), SC_(0.9611941077924732903931571711562687857294e0) }}, 
+      {{ SC_(0.69003379344940185546875e0), SC_(0.5247485248589687068613254590642295922543e0), SC_(0.9937829089064982966773652105234409046975e0) }}, 
+      {{ SC_(0.69504582881927490234375e0), SC_(0.5277097781183924897416903820415806504912e0), SC_(0.1003800903666412193968978978979482061619e1) }}
+   } };
+#undef SC_
+
diff --git a/src/boost/libs/math/test/log1p_expm1_test.cpp b/src/boost/libs/math/test/log1p_expm1_test.cpp
new file mode 100644
index 000000000..04d45e2c5
--- /dev/null
+++ b/src/boost/libs/math/test/log1p_expm1_test.cpp
@@ -0,0 +1,93 @@
+//  Copyright John Maddock 2005.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+// Requires MS extensions permitted or fails to link.
+
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include "log1p_expm1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions log1p and expm1.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*",                          // test function
+      4,                             // Max Peek error
+      3);                            // Max mean error
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test(float(0), "float");
+   test(double(0), "double");
+   //
+   // The long double version of these tests fails on some platforms
+   // due to poor std lib support (not enough digits returned from 
+   // std::log and std::exp):
+   //
+#if !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+   test((long double)(0), "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test((boost::math::concepts::real_concept)(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
diff --git a/src/boost/libs/math/test/log1p_expm1_test.hpp b/src/boost/libs/math/test/log1p_expm1_test.hpp
new file mode 100644
index 000000000..4b4230594
--- /dev/null
+++ b/src/boost/libs/math/test/log1p_expm1_test.hpp
@@ -0,0 +1,93 @@
+//  Copyright John Maddock 2005.
+//  Copyright Paul A. Bristow 2010
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+
+template <class Real, class T>
+void do_test(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef LOG1P_FUNCTION_TO_TEST
+   pg funcp = LOG1P_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = &boost::math::log1p<value_type>;
+#else
+   pg funcp = &boost::math::log1p;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   //
+   // test log1p against data:
+   //
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LOG1P_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+         bind_func<Real>(funcp, 0), 
+         extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "log1p", "Random test data");
+   std::cout << std::endl;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(EXPM1_FUNCTION_TO_TEST))
+   //
+   // test expm1 against data:
+   //
+#ifdef EXPM1_FUNCTION_TO_TEST
+   funcp = EXPM1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::expm1<value_type>;
+#else
+   funcp = boost::math::expm1;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "expm1", "Random test data");
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test(T, const char* type_name)
+{
+#  include "log1p_expm1_data.ipp"
+
+   do_test<T>(log1p_expm1_data, type_name, "expm1 and log1p");
+
+   //
+   // C99 Appendix F special cases:
+   static const T zero = 0;
+   static const T m_one = -1;
+   BOOST_CHECK_EQUAL(boost::math::log1p(zero), zero);
+   BOOST_CHECK_EQUAL(boost::math::log1p(T(-zero)), zero);
+   BOOST_CHECK_EQUAL(boost::math::expm1(zero), zero);
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(boost::math::log1p(m_one), -std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(boost::math::expm1(T(-std::numeric_limits<T>::infinity())), m_one);
+      BOOST_CHECK_EQUAL(boost::math::expm1(std::numeric_limits<T>::infinity()), std::numeric_limits<T>::infinity());
+#ifndef __BORLANDC__
+#ifndef BOOST_NO_EXCEPTIONS
+      // When building with Borland's compiler, simply the *presence*
+      // of these tests cause other unrelated tests to fail!!! :-(
+      using namespace boost::math::policies;
+      typedef policy<overflow_error<throw_on_error> > pol;
+      BOOST_MATH_CHECK_THROW(boost::math::log1p(m_one, pol()), std::overflow_error);
+      BOOST_MATH_CHECK_THROW(boost::math::expm1(std::numeric_limits<T>::infinity(), pol()), std::overflow_error);
+#endif
+#endif
+   }
+}
+
diff --git a/src/boost/libs/math/test/makima_test.cpp b/src/boost/libs/math/test/makima_test.cpp
new file mode 100644
index 000000000..07d2a7185
--- /dev/null
+++ b/src/boost/libs/math/test/makima_test.cpp
@@ -0,0 +1,186 @@
+/*
+ * Copyright Nick Thompson, 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/math/interpolators/makima.hpp>
+#include <boost/circular_buffer.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::interpolators::makima;
+
+template<typename Real>
+void test_constant()
+{
+
+    std::vector<Real> x{0,1,2,3, 9, 22, 81};
+    std::vector<Real> y(x.size());
+    for (auto & t : y) {
+        t = 7;
+    }
+
+    auto x_copy = x;
+    auto y_copy = y;
+    auto akima = makima(std::move(x_copy), std::move(y_copy));
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(Real(7), akima(t), 2);
+        CHECK_ULP_CLOSE(Real(0), akima.prime(t), 2);
+    }
+
+    boost::circular_buffer<Real> x_buf(x.size());
+    for (auto & t : x) {
+        x_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> y_buf(x.size());
+    for (auto & t : y) {
+        y_buf.push_back(t);
+    }
+
+    auto circular_akima = makima(std::move(x_buf), std::move(y_buf));
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(Real(7), circular_akima(t), 2);
+        CHECK_ULP_CLOSE(Real(0), akima.prime(t), 2);
+    }
+
+    circular_akima.push_back(x.back() + 1, 7);
+    CHECK_ULP_CLOSE(Real(0), circular_akima.prime(x.back()+1), 2);
+
+}
+
+template<typename Real>
+void test_linear()
+{
+    std::vector<Real> x{0,1,2,3};
+    std::vector<Real> y{0,1,2,3};
+
+    auto x_copy = x;
+    auto y_copy = y;
+    auto akima = makima(std::move(x_copy), std::move(y_copy));
+
+    CHECK_ULP_CLOSE(y[0], akima(x[0]), 0);
+    CHECK_ULP_CLOSE(Real(1)/Real(2), akima(Real(1)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[1], akima(x[1]), 0);
+    CHECK_ULP_CLOSE(Real(3)/Real(2), akima(Real(3)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[2], akima(x[2]), 0);
+    CHECK_ULP_CLOSE(Real(5)/Real(2), akima(Real(5)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[3], akima(x[3]), 0);
+
+    x.resize(45);
+    y.resize(45);
+    for (size_t i = 0; i < x.size(); ++i) {
+        x[i] = i;
+        y[i] = i;
+    }
+
+    x_copy = x;
+    y_copy = y;
+    akima = makima(std::move(x_copy), std::move(y_copy));
+    for (Real t = 0; t < x.back(); t += 0.5) {
+        CHECK_ULP_CLOSE(t, akima(t), 0);
+        CHECK_ULP_CLOSE(Real(1), akima.prime(t), 0);
+    }
+
+    x_copy = x;
+    y_copy = y;
+    // Test endpoint derivatives:
+    akima = makima(std::move(x_copy), std::move(y_copy), Real(1), Real(1));
+    for (Real t = 0; t < x.back(); t += 0.5) {
+        CHECK_ULP_CLOSE(t, akima(t), 0);
+        CHECK_ULP_CLOSE(Real(1), akima.prime(t), 0);
+    }
+
+
+    boost::circular_buffer<Real> x_buf(x.size());
+    for (auto & t : x) {
+        x_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> y_buf(x.size());
+    for (auto & t : y) {
+        y_buf.push_back(t);
+    }
+
+    auto circular_akima = makima(std::move(x_buf), std::move(y_buf));
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(t, circular_akima(t), 2);
+        CHECK_ULP_CLOSE(Real(1), circular_akima.prime(t), 2);
+    }
+
+    circular_akima.push_back(x.back() + 1, y.back()+1);
+
+    CHECK_ULP_CLOSE(Real(y.back() + 1), circular_akima(Real(x.back()+1)), 2);
+    CHECK_ULP_CLOSE(Real(1), circular_akima.prime(Real(x.back()+1)), 2);
+
+}
+
+template<typename Real>
+void test_interpolation_condition()
+{
+    for (size_t n = 4; n < 50; ++n) {
+        std::vector<Real> x(n);
+        std::vector<Real> y(n);
+        std::default_random_engine rd;
+        std::uniform_real_distribution<Real> dis(0,1);
+        Real x0 = dis(rd);
+        x[0] = x0;
+        y[0] = dis(rd);
+        for (size_t i = 1; i < n; ++i) {
+            x[i] = x[i-1] + dis(rd);
+            y[i] = dis(rd);
+        }
+
+        auto x_copy = x;
+        auto y_copy = y;
+        auto s = makima(std::move(x_copy), std::move(y_copy));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size(); ++i) {
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+        }
+
+        x_copy = x;
+        y_copy = y;
+        // The interpolation condition is not affected by the endpoint derivatives, even though these derivatives might be super weird:
+        s = makima(std::move(x_copy), std::move(y_copy), Real(0), Real(0));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size(); ++i) {
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+        }
+
+    }
+}
+
+int main()
+{
+    test_constant<float>();
+    test_linear<float>();
+    test_interpolation_condition<float>();
+
+    test_constant<double>();
+    test_linear<double>();
+    test_interpolation_condition<double>();
+
+    test_constant<long double>();
+    test_linear<long double>();
+    test_interpolation_condition<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_constant<float128>();
+    test_linear<float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/math_unit_test.hpp b/src/boost/libs/math/test/math_unit_test.hpp
new file mode 100644
index 000000000..dd664c1fd
--- /dev/null
+++ b/src/boost/libs/math/test/math_unit_test.hpp
@@ -0,0 +1,150 @@
+// Copyright Nick Thompson, 2019
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_TEST_HPP
+#define BOOST_MATH_TEST_TEST_HPP
+#include <atomic>
+#include <iostream>
+#include <iomanip>
+#include <cmath> // for std::isnan
+#include <boost/assert.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/core/demangle.hpp>
+
+namespace boost { namespace math { namespace  test {
+
+namespace detail {
+    static std::atomic<int64_t> global_error_count{0};
+    static std::atomic<int64_t> total_ulp_distance{0};
+}
+
+template<class Real>
+bool check_mollified_close(Real expected, Real computed, Real tol, std::string const & filename, std::string const & function, int line)
+{
+    using std::isnan;
+    BOOST_ASSERT_MSG(!isnan(tol), "Tolerance cannot be a nan.");
+    BOOST_ASSERT_MSG(!isnan(expected), "Expected value cannot be a nan.");
+    BOOST_ASSERT_MSG(tol >= 0, "Tolerance must be non-negative.");
+    if (isnan(computed)) {
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m Computed value is a nan\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+        return false;
+    }
+    using std::max;
+    using std::abs;
+    Real denom = (max)(abs(expected), Real(1));
+    Real mollified_relative_error = abs(expected - computed)/denom;
+    if (mollified_relative_error > tol)
+    {
+        Real dist = abs(boost::math::float_distance(expected, computed));
+        detail::total_ulp_distance += static_cast<int64_t>(dist);
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m Mollified relative error in " << boost::core::demangle(typeid(Real).name())<< " precision is " << mollified_relative_error
+                  << ", which exceeds " << tol << ", error/tol  = " << mollified_relative_error/tol << ".\n"
+                  << std::setprecision(std::numeric_limits<Real>::digits10) << std::showpos
+                  << "  Expected: " << std::defaultfloat << std::fixed << expected << std::hexfloat << " = " << expected << "\n"
+                  << "  Computed: " << std::defaultfloat << std::fixed << computed << std::hexfloat << " = " << computed << "\n"
+                  << std::defaultfloat
+                  << "  ULP distance: " << dist << "\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+
+        return false;
+    }
+    return true;
+}
+
+template<class PreciseReal, class Real>
+bool check_ulp_close(PreciseReal expected1, Real computed, size_t ulps, std::string const & filename, std::string const & function, int line)
+{
+    using std::max;
+    using std::abs;
+    using std::isnan;
+    // Of course integers can be expected values, and they are exact:
+    if (!std::is_integral<PreciseReal>::value) {
+        BOOST_ASSERT_MSG(sizeof(PreciseReal) >= sizeof(Real),
+                         "The expected number must be computed in higher (or equal) precision than the number being tested.");
+        BOOST_ASSERT_MSG(!isnan(expected1), "Expected value cannot be a nan.");
+    }
+
+    if (isnan(computed))
+    {
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m Computed value is a nan\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+        return false;
+    }
+
+    Real expected = Real(expected1);
+    Real dist = abs(boost::math::float_distance(expected, computed));
+    if (dist > ulps)
+    {
+        detail::total_ulp_distance += static_cast<int64_t>(dist);
+        Real denom = (max)(abs(expected), Real(1));
+        Real mollified_relative_error = abs(expected - computed)/denom;
+        std::ios_base::fmtflags f( std::cerr.flags() );
+        std::cerr << std::setprecision(3);
+        std::cerr << "\033[0;31mError at " << filename << ":" << function << ":" << line << ":\n"
+                  << " \033[0m ULP distance in " << boost::core::demangle(typeid(Real).name())<< " precision is " << dist
+                  << ", which exceeds " << ulps;
+                  if (ulps > 0)
+                  {
+                      std::cerr << ", error/ulps  = " << dist/static_cast<Real>(ulps) << ".\n";
+                  }
+                  else
+                  {
+                      std::cerr << ".\n";
+                  }
+        std::cerr << std::setprecision(std::numeric_limits<Real>::digits10) << std::showpos
+                  << "  Expected: " << std::defaultfloat << std::fixed << expected << std::hexfloat << " = " << expected << "\n"
+                  << "  Computed: " << std::defaultfloat << std::fixed << computed << std::hexfloat << " = " << computed << "\n"
+                  << std::defaultfloat
+                  << "  Mollified relative error: " << mollified_relative_error << "\n";
+        std::cerr.flags(f);
+        ++detail::global_error_count;
+        return false;
+    }
+    return true;
+}
+
+
+int report_errors()
+{
+    if (detail::global_error_count > 0)
+    {
+        std::cerr << "\033[0;31mError count: " << detail::global_error_count;
+        if (detail::total_ulp_distance > 0) {
+            std::cerr << ", total ulp distance = " << detail::total_ulp_distance << "\n\033[0m";
+        }
+        else {
+            // else we overflowed the ULPs counter and all we could print is a bizarre negative number.
+            std::cerr << "\n\033[0m";
+        }
+
+        detail::global_error_count = 0;
+        detail::total_ulp_distance = 0;
+        return 1;
+    }
+    std::cout << "\x1B[32mNo errors detected.\n\033[0m";
+    return 0;
+}
+
+}}}
+
+#define CHECK_MOLLIFIED_CLOSE(X, Y, Z) boost::math::test::check_mollified_close< typename std::remove_reference<decltype((Y))>::type>((X), (Y), (Z), __FILE__, __func__, __LINE__)
+
+#define CHECK_ULP_CLOSE(X, Y, Z) boost::math::test::check_ulp_close((X), (Y), (Z), __FILE__, __func__, __LINE__)
+
+#endif
diff --git a/src/boost/libs/math/test/mpfr_concept_check.cpp b/src/boost/libs/math/test/mpfr_concept_check.cpp
new file mode 100644
index 000000000..9d0ee655d
--- /dev/null
+++ b/src/boost/libs/math/test/mpfr_concept_check.cpp
@@ -0,0 +1,37 @@
+
+//  Copyright John Maddock 2007-8.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that mpfr_class meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_MPFR
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/math/bindings/mpfr.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+void foo()
+{
+   instantiate(mpfr_class());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<mpfr_class>));
+}
+
+
diff --git a/src/boost/libs/math/test/mpreal_concept_check.cpp b/src/boost/libs/math/test/mpreal_concept_check.cpp
new file mode 100644
index 000000000..c0f11c93d
--- /dev/null
+++ b/src/boost/libs/math/test/mpreal_concept_check.cpp
@@ -0,0 +1,33 @@
+
+//  Copyright John Maddock 2007-8.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that mpfr::mpreal meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_MPFR
+
+#include <boost/math/bindings/mpreal.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+#include <boost/static_assert.hpp>
+
+//BOOST_STATIC_ASSERT((boost::is_same<mpfr::mpreal, boost::math::tools::promote_args<mpfr::mpreal>::type >::value));
+
+void foo()
+{
+   instantiate(mpfr::mpreal());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<mpfr::mpreal>));
+   return 0;
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_1.cpp b/src/boost/libs/math/test/multiprc_concept_check_1.cpp
new file mode 100644
index 000000000..ea11bd0ce
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_1.cpp
@@ -0,0 +1,41 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_1
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+void foo()
+{
+   instantiate(test_type());
+}
+
+int main()
+{
+   //BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_2.cpp b/src/boost/libs/math/test/multiprc_concept_check_2.cpp
new file mode 100644
index 000000000..500e1fc4f
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_2.cpp
@@ -0,0 +1,41 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_9
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+void foo()
+{
+   //instantiate(test_type());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_3.cpp b/src/boost/libs/math/test/multiprc_concept_check_3.cpp
new file mode 100644
index 000000000..a7bb35711
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_3.cpp
@@ -0,0 +1,45 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_4
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+#if !(defined(CI_SUPPRESS_KNOWN_ISSUES) && defined(BOOST_GCC))
+
+void foo()
+{
+   instantiate(test_type());
+}
+
+#endif
+
+int main()
+{
+   //BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/multiprc_concept_check_4.cpp b/src/boost/libs/math/test/multiprc_concept_check_4.cpp
new file mode 100644
index 000000000..69d7581f4
--- /dev/null
+++ b/src/boost/libs/math/test/multiprc_concept_check_4.cpp
@@ -0,0 +1,48 @@
+
+//  Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that multiprecision::number meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+#define TEST_GROUP_9
+
+#ifdef _MSC_VER
+#  pragma warning(disable:4800)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4127)
+#  pragma warning(disable:4512)
+#  pragma warning(disable:4503) // decorated name length exceeded, name was truncated
+#endif
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+using namespace boost::multiprecision;
+
+typedef number<cpp_dec_float<50>, et_on> test_type;
+
+// We get sporadic internal compiler errors from gcc-7.x when CI testing
+// that don't appear to be reproducible locally.  gcc-6.x and gcc-8.x are fine
+// so for now it's a <shrug> and move on...
+#if ! (defined(BOOST_GCC) && (__GNUC__ == 7))
+
+void foo()
+{
+   instantiate(test_type());
+}
+
+#endif
+
+int main()
+{
+   //BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<test_type>));
+}
+
+
diff --git a/src/boost/libs/math/test/naive_monte_carlo_test.cpp b/src/boost/libs/math/test/naive_monte_carlo_test.cpp
new file mode 100644
index 000000000..4e5cce76a
--- /dev/null
+++ b/src/boost/libs/math/test/naive_monte_carlo_test.cpp
@@ -0,0 +1,544 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE naive_monte_carlo_test
+#define BOOST_NAIVE_MONTE_CARLO_DEBUG_FAILURES
+#include <cmath>
+#include <ostream>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/quadrature/naive_monte_carlo.hpp>
+
+using std::abs;
+using std::vector;
+using std::pair;
+using boost::math::constants::pi;
+using boost::math::quadrature::naive_monte_carlo;
+
+
+template<class Real>
+void test_pi_multithreaded()
+{
+    std::cout << "Testing pi is calculated correctly (multithreaded) using Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real {
+        Real r = x[0]*x[0]+x[1]*x[1];
+        if (r <= 1) {
+          return 4;
+        }
+        return 0;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{Real(0), Real(1)}, {Real(0), Real(1)}};
+    Real error_goal = 0.0002;
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, error_goal,
+                                          /*singular =*/ false,/* threads = */ 2, /* seed = */ 18012);
+    auto task = mc.integrate();
+    Real pi_estimated = task.get();
+    if (abs(pi_estimated - pi<Real>())/pi<Real>() > 0.005) {
+        std::cout << "Error in estimation of pi too high, function calls: " << mc.calls() << "\n";
+        std::cout << "Final error estimate : " << mc.current_error_estimate() << "\n";
+        std::cout << "Error goal           : " << error_goal << "\n";
+        BOOST_CHECK_CLOSE_FRACTION(pi_estimated, pi<Real>(), 0.005);
+    }
+}
+
+template<class Real>
+void test_pi()
+{
+    std::cout << "Testing pi is calculated correctly using Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        Real r = x[0]*x[0]+x[1]*x[1];
+        if (r <= 1)
+        {
+            return 4;
+        }
+        return 0;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{Real(0), Real(1)}, {Real(0), Real(1)}};
+    Real error_goal = (Real) 0.0002;
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, error_goal,
+                                            /*singular =*/ false,/* threads = */ 1, /* seed = */ 128402);
+    auto task = mc.integrate();
+    Real pi_estimated = task.get();
+    if (abs(pi_estimated - pi<Real>())/pi<Real>() > 0.005)
+    {
+        std::cout << "Error in estimation of pi too high, function calls: " << mc.calls() << "\n";
+        std::cout << "Final error estimate : " << mc.current_error_estimate() << "\n";
+        std::cout << "Error goal           : " << error_goal << "\n";
+        BOOST_CHECK_CLOSE_FRACTION(pi_estimated, pi<Real>(), 0.005);
+    }
+
+}
+
+template<class Real>
+void test_constant()
+{
+    std::cout << "Testing constants are integrated correctly using Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const &)->Real
+    {
+      return 1;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{Real(0), Real(1)}, { Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.0001,
+                                            /* singular = */ false, /* threads = */ 1, /* seed = */ 87);
+
+    auto task = mc.integrate();
+    Real one = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(one, 1, 0.001);
+    BOOST_CHECK_SMALL(mc.current_error_estimate(), std::numeric_limits<Real>::epsilon());
+    BOOST_CHECK(mc.calls() > 1000);
+}
+
+
+template<class Real>
+void test_exception_from_integrand()
+{
+    std::cout << "Testing that a reasonable action is performed by the Monte-Carlo integrator when the integrand throws an exception on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        if (x[0] > 0.5 && x[0] < 0.5001)
+        {
+            throw std::domain_error("You have done something wrong.\n");
+        }
+        return (Real) 1;
+    };
+
+    std::vector<std::pair<Real, Real>> bounds{{ Real(0), Real(1)}, { Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.0001);
+
+    auto task = mc.integrate();
+    bool caught_exception = false;
+    try
+    {
+      Real result = task.get();
+      // Get rid of unused variable warning:
+      std::ostream cnull(0);
+      cnull << result;
+    }
+    catch(std::exception const &)
+    {
+        caught_exception = true;
+    }
+    BOOST_CHECK(caught_exception);
+}
+
+
+template<class Real>
+void test_cancel_and_restart()
+{
+    std::cout << "Testing that cancellation and restarting works on naive Monte-Carlo integration on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real exact = boost::lexical_cast<Real>("1.3932039296856768591842462603255");
+    BOOST_CONSTEXPR const Real A = 1.0 / (pi<Real>() * pi<Real>() * pi<Real>());
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        return A / (1.0 - cos(x[0])*cos(x[1])*cos(x[2]));
+    };
+    vector<pair<Real, Real>> bounds{{ Real(0), pi<Real>()}, { Real(0), pi<Real>()}, { Real(0), pi<Real>()}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.05, true, 1, 888889);
+
+    auto task = mc.integrate();
+    mc.cancel();
+    double y = task.get();
+    // Super low tolerance; because it got canceled so fast:
+    BOOST_CHECK_CLOSE_FRACTION(y, exact, 1.0);
+
+    mc.update_target_error((Real) 0.01);
+    task = mc.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, exact, 0.1);
+}
+
+template<class Real>
+void test_finite_singular_boundary()
+{
+    std::cout << "Testing that finite singular boundaries work on naive Monte-Carlo integration on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    using std::pow;
+    using std::log;
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        // The first term is singular at x = 0.
+        // The second at x = 1:
+        return pow(log(1.0/x[0]), 2) + log1p(-x[0]);
+    };
+    vector<pair<Real, Real>> bounds{{Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.01, true, 1, 1922);
+
+    auto task = mc.integrate();
+
+    double y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1.0, 0.1);
+}
+
+template<class Real>
+void test_multithreaded_variance()
+{
+    std::cout << "Testing that variance computed by naive Monte-Carlo integration converges to integral formula on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real exact_variance = (Real) 1/(Real) 12;
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        return x[0];
+    };
+    vector<pair<Real, Real>> bounds{{ Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, false, 2, 12341);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 0.5, 0.01);
+    BOOST_CHECK_CLOSE_FRACTION(mc.variance(), exact_variance, 0.05);
+}
+
+template<class Real>
+void test_variance()
+{
+    std::cout << "Testing that variance computed by naive Monte-Carlo integration converges to integral formula on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real exact_variance = (Real) 1/(Real) 12;
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        return x[0];
+    };
+    vector<pair<Real, Real>> bounds{{ Real(0), Real(1)}};
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, false, 1, 12341);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 0.5, 0.01);
+    BOOST_CHECK_CLOSE_FRACTION(mc.variance(), exact_variance, 0.05);
+}
+
+template<class Real, uint64_t dimension>
+void test_product()
+{
+    std::cout << "Testing that product functions are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        double y = 1;
+        for (uint64_t i = 0; i < x.size(); ++i)
+        {
+            y *= 2*x[i];
+        }
+        return y;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < dimension; ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, false, 1, 13999);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+    using std::pow;
+    Real exact_variance = pow(4.0/3.0, dimension) - 1;
+    BOOST_CHECK_CLOSE_FRACTION(mc.variance(), exact_variance, 0.1);
+}
+
+template<class Real, uint64_t dimension>
+void test_alternative_rng_1()
+{
+    std::cout << "Testing that alternative RNGs work correctly using naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        double y = 1;
+        for (uint64_t i = 0; i < x.size(); ++i)
+        {
+            y *= 2*x[i];
+        }
+        return y;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < dimension; ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+    std::cout << "Testing std::mt19937" << std::endl;
+
+    naive_monte_carlo<Real, decltype(g), std::mt19937> mc1(g, bounds, (Real) 0.001, false, 1, 1882);
+
+    auto task = mc1.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+    using std::pow;
+    Real exact_variance = pow(4.0/3.0, dimension) - 1;
+    BOOST_CHECK_CLOSE_FRACTION(mc1.variance(), exact_variance, 0.05);
+
+    std::cout << "Testing std::knuth_b" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::knuth_b> mc2(g, bounds, (Real) 0.001, false, 1, 1883);
+    task = mc2.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+    std::cout << "Testing std::ranlux48" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::ranlux48> mc3(g, bounds, (Real) 0.001, false, 1, 1884);
+    task = mc3.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+}
+
+template<class Real, uint64_t dimension>
+void test_alternative_rng_2()
+{
+    std::cout << "Testing that alternative RNGs work correctly using naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [&](std::vector<Real> const & x)->Real
+    {
+        double y = 1;
+        for (uint64_t i = 0; i < x.size(); ++i)
+        {
+            y *= 2*x[i];
+        }
+        return y;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < dimension; ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+
+    std::cout << "Testing std::default_random_engine" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::default_random_engine> mc4(g, bounds, (Real) 0.001, false, 1, 1884);
+    auto task = mc4.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+    std::cout << "Testing std::minstd_rand" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::minstd_rand> mc5(g, bounds, (Real) 0.001, false, 1, 1887);
+    task = mc5.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+    std::cout << "Testing std::minstd_rand0" << std::endl;
+    naive_monte_carlo<Real, decltype(g), std::minstd_rand0> mc6(g, bounds, (Real) 0.001, false, 1, 1889);
+    task = mc6.integrate();
+    y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+
+}
+
+template<class Real>
+void test_upper_bound_infinite()
+{
+    std::cout << "Testing that infinite upper bounds are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        return 1.0/(x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, std::numeric_limits<Real>::infinity());
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 8765);
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::half_pi<Real>(), 0.01);
+}
+
+template<class Real>
+void test_lower_bound_infinite()
+{
+    std::cout << "Testing that infinite lower bounds are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        return 1.0/(x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(-std::numeric_limits<Real>::infinity(), 0);
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 1208);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::half_pi<Real>(), 0.01);
+}
+
+template<class Real>
+void test_lower_bound_infinite2()
+{
+    std::cout << "Testing that infinite lower bounds (2) are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        // If x[0] = inf, this should blow up:
+        return (x[0]*x[0])/(x[0]*x[0]*x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(-std::numeric_limits<Real>::infinity(), 0);
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 1208);
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::half_pi<Real>()/boost::math::constants::root_two<Real>(), 0.01);
+}
+
+template<class Real>
+void test_double_infinite()
+{
+    std::cout << "Testing that double infinite bounds are integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        return 1.0/(x[0]*x[0] + 1.0);
+    };
+
+    vector<pair<Real, Real>> bounds(1);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(-std::numeric_limits<Real>::infinity(), std::numeric_limits<Real>::infinity());
+    }
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, (Real) 0.001, true, 1, 1776);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    BOOST_CHECK_CLOSE_FRACTION(y, boost::math::constants::pi<Real>(), 0.01);
+}
+
+template<class Real, uint64_t dimension>
+void test_radovic()
+{
+    // See: Generalized Halton Sequences in 2008: A Comparative Study, function g1:
+    std::cout << "Testing that the Radovic function is integrated correctly by naive Monte-Carlo on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto g = [](std::vector<Real> const & x)->Real
+    {
+        using std::abs;
+        Real alpha = (Real)0.01;
+        Real z = 1;
+        for (uint64_t i = 0; i < dimension; ++i)
+        {
+            z *= (abs(4*x[i]-2) + alpha)/(1+alpha);
+        }
+        return z;
+    };
+
+    vector<pair<Real, Real>> bounds(dimension);
+    for (uint64_t i = 0; i < bounds.size(); ++i)
+    {
+        bounds[i] = std::make_pair<Real, Real>(0, 1);
+    }
+    Real error_goal = (Real) 0.001;
+    naive_monte_carlo<Real, decltype(g)> mc(g, bounds, error_goal, false, 1, 1982);
+
+    auto task = mc.integrate();
+    Real y = task.get();
+    if (abs(y - 1) > 0.01)
+    {
+        std::cout << "Error in estimation of Radovic integral too high, function calls: " << mc.calls() << "\n";
+        std::cout << "Final error estimate: " << mc.current_error_estimate() << std::endl;
+        std::cout << "Error goal          : " << error_goal << std::endl;
+        std::cout << "Variance estimate   : " << mc.variance() << std::endl;
+        BOOST_CHECK_CLOSE_FRACTION(y, 1, 0.01);
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(naive_monte_carlo_test)
+{
+   std::cout << "Default hardware concurrency = " << std::thread::hardware_concurrency() << std::endl;
+#if !defined(TEST) || TEST == 1
+    test_finite_singular_boundary<double>();
+    test_finite_singular_boundary<float>();
+#endif
+#if !defined(TEST) || TEST == 2
+    test_pi<float>();
+    test_pi<double>();
+#endif
+#if !defined(TEST) || TEST == 3
+    test_pi_multithreaded<float>();
+    test_constant<float>();
+#endif
+    //test_pi<long double>();
+#if !defined(TEST) || TEST == 4
+    test_constant<double>();
+    //test_constant<long double>();
+    test_cancel_and_restart<float>();
+#endif
+#if !defined(TEST) || TEST == 5
+    test_exception_from_integrand<float>();
+    test_variance<float>();
+#endif
+#if !defined(TEST) || TEST == 6
+    test_variance<double>();
+    test_multithreaded_variance<double>();
+#endif
+#if !defined(TEST) || TEST == 7
+    test_product<float, 1>();
+    test_product<float, 2>();
+#endif
+#if !defined(TEST) || TEST == 8
+    test_product<float, 3>();
+    test_product<float, 4>();
+    test_product<float, 5>();
+#endif
+#if !defined(TEST) || TEST == 9
+    test_product<float, 6>();
+    test_product<double, 1>();
+#endif
+#if !defined(TEST) || TEST == 10
+    test_product<double, 2>();
+#endif
+#if !defined(TEST) || TEST == 11
+    test_product<double, 3>();
+    test_product<double, 4>();
+#endif
+#if !defined(TEST) || TEST == 12
+    test_upper_bound_infinite<float>();
+    test_upper_bound_infinite<double>();
+#endif
+#if !defined(TEST) || TEST == 13
+    test_lower_bound_infinite<float>();
+    test_lower_bound_infinite<double>();
+#endif
+#if !defined(TEST) || TEST == 14
+    test_lower_bound_infinite2<float>();
+#endif
+#if !defined(TEST) || TEST == 15
+    test_double_infinite<float>();
+    test_double_infinite<double>();
+#endif
+#if !defined(TEST) || TEST == 16
+    test_radovic<float, 1>();
+    test_radovic<float, 2>();
+#endif
+#if !defined(TEST) || TEST == 17
+    test_radovic<float, 3>();
+    test_radovic<double, 1>();
+#endif
+#if !defined(TEST) || TEST == 18
+    test_radovic<double, 2>();
+    test_radovic<double, 3>();
+#endif
+#if !defined(TEST) || TEST == 19
+    test_radovic<double, 4>();
+    test_radovic<double, 5>();
+#endif
+#if !defined(TEST) || TEST == 20
+    test_alternative_rng_1<float, 3>();
+#endif
+#if !defined(TEST) || TEST == 21
+    test_alternative_rng_1<double, 3>();
+#endif
+#if !defined(TEST) || TEST == 22
+    test_alternative_rng_2<float, 3>();
+#endif
+#if !defined(TEST) || TEST == 23
+    test_alternative_rng_2<double, 3>();
+#endif
+
+}
diff --git a/src/boost/libs/math/test/ncbeta.ipp b/src/boost/libs/math/test/ncbeta.ipp
new file mode 100644
index 000000000..64a75d279
--- /dev/null
+++ b/src/boost/libs/math/test/ncbeta.ipp
@@ -0,0 +1,3010 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 3000> ncbeta = {{
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000e-1), SC_(5.940588760375976562500000000000000000000e1), SC_(9.976066350936889648437500000000000000000e-1), SC_(2.759834870217354705236013708534509068967e-1), SC_(7.240165129782645294763986291465490931033e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000e-1), SC_(1.451677856445312500000000000000000000000e2), SC_(9.990068674087524414062500000000000000000e-1), SC_(2.757975665000284929998400439182434398680e-1), SC_(7.242024334999715070001599560817565601320e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.454305052757263183593750000000000000000e-1), SC_(1.929777069091796875000000000000000000000e2), SC_(9.992512464523315429687500000000000000000e-1), SC_(2.757802819095769722518059796277858159202e-1), SC_(7.242197180904230277481940203722141840798e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(3.635762631893157958984375000000000000000e-1), SC_(6.038262176513671875000000000000000000000e1), SC_(9.961022734642028808593750000000000000000e-1), SC_(4.949484084085013882284839924844591052030e-1), SC_(5.050515915914986117715160075155408947970e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(3.635762631893157958984375000000000000000e-1), SC_(1.481294555664062500000000000000000000000e2), SC_(9.983823299407958984375000000000000000000e-1), SC_(4.946201811284367289305268285202655846240e-1), SC_(5.053798188715632710694731714797344153760e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(3.635762631893157958984375000000000000000e-1), SC_(1.935389862060546875000000000000000000000e2), SC_(9.987584948539733886718750000000000000000e-1), SC_(4.945965085725495633413346642780624277086e-1), SC_(5.054034914274504366586653357219375722914e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(7.271525263786315917968750000000000000000e-1), SC_(6.163340759277343750000000000000000000000e1), SC_(9.943350553512573242187500000000000000000e-1), SC_(7.067242511174509034733895807356551147428e-1), SC_(2.932757488825490965266104192643448852572e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(7.271525263786315917968750000000000000000e-1), SC_(1.486264953613281250000000000000000000000e2), SC_(9.975933432579040527343750000000000000000e-1), SC_(7.063204046711177968479175758665909815947e-1), SC_(2.936795953288822031520824241334090184053e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(7.271525263786315917968750000000000000000e-1), SC_(1.937735595703125000000000000000000000000e2), SC_(9.981468915939331054687500000000000000000e-1), SC_(7.062805762166387906359787891104213355210e-1), SC_(2.937194237833612093640212108895786644790e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.090728759765625000000000000000000000000), SC_(7.225879669189453125000000000000000000000e1), SC_(9.942231774330139160156250000000000000000e-1), SC_(8.372920335940658618578320877705617571936e-1), SC_(1.627079664059341381421679122294382428064e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.090728759765625000000000000000000000000), SC_(1.515480346679687500000000000000000000000e2), SC_(9.971802234649658203125000000000000000000e-1), SC_(8.370187919390128563087545041366727719913e-1), SC_(1.629812080609871436912454958633272280087e-1) }}, 
+      {{ SC_(1.454305052757263183593750000000000000000), SC_(1.090728759765625000000000000000000000000), SC_(1.941185607910156250000000000000000000000e2), SC_(9.977884292602539062500000000000000000000e-1), SC_(8.369846256186989556701034949935290540605e-1), SC_(1.630153743813010443298965050064709459395e-1) }}, 
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+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.992940330505371093750000000000000000000e1), SC_(1.985762634277343750000000000000000000000e2), SC_(9.686841964721679687500000000000000000000e-1), SC_(9.969225456733535582743110503826390448089e-1), SC_(3.077454326646441725688949617360955191072e-3) }}, 
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+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(4.982350921630859375000000000000000000000e1), SC_(8.435225677490234375000000000000000000000e1), SC_(9.429575800895690917968750000000000000000e-1), SC_(9.999999999939130619018803542616118877197e-1), SC_(6.086938098119645738388112280319876640647e-12) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(4.982350921630859375000000000000000000000e1), SC_(1.596211700439453125000000000000000000000e2), SC_(9.494719505310058593750000000000000000000e-1), SC_(9.999999999906736645993148616155522907470e-1), SC_(9.326335400685138384447709252983633103816e-12) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(4.982350921630859375000000000000000000000e1), SC_(1.992922668457031250000000000000000000000e2), SC_(9.523417949676513671875000000000000000000e-1), SC_(9.999999999889979505525517028101296712932e-1), SC_(1.100204944744829718987032870678465639103e-11) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964701843261718750000000000000000000000e1), SC_(2.197235107421875000000000000000000000000e1), SC_(9.196114540100097656250000000000000000000e-1), SC_(9.999999999999999999999999999999995422172e-1), SC_(4.577828221881416191038550064767058633427e-34) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964701843261718750000000000000000000000e1), SC_(8.441753387451171875000000000000000000000e1), SC_(9.269505739212036132812500000000000000000e-1), SC_(9.999999999999999999999999999999957188140e-1), SC_(4.281185977015024842072588006442910551722e-33) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964701843261718750000000000000000000000e1), SC_(1.600560913085937500000000000000000000000e2), SC_(9.342278242111206054687500000000000000000e-1), SC_(9.999999999999999999999999999999739814039e-1), SC_(2.601859605211694321039444322773589680759e-32) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.494705200195312500000000000000000000000e2), SC_(2.249290275573730468750000000000000000000e1), SC_(9.169561266899108886718750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(5.078757476486174488603832341669296014670e-65) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.494705200195312500000000000000000000000e2), SC_(9.495173645019531250000000000000000000000e1), SC_(9.245328307151794433593750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.198062735689324460517282204391468064919e-62) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.494705200195312500000000000000000000000e2), SC_(1.629447326660156250000000000000000000000e2), SC_(9.304865002632141113281250000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(3.677801238984289092488356673198126103843e-61) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.793646240234375000000000000000000000000e2), SC_(2.539736366271972656250000000000000000000e1), SC_(5.416477844119071960449218750000000000000e-2), SC_(2.776631429595303821632471226009891519974e-150), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.793646240234375000000000000000000000000e2), SC_(9.707512664794921875000000000000000000000e1), SC_(5.800236016511917114257812500000000000000e-2), SC_(1.673138510860741999246331189907275755619e-158), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.793646240234375000000000000000000000000e2), SC_(1.670017089843750000000000000000000000000e2), SC_(6.117471680045127868652343750000000000000e-2), SC_(1.733627098870606652495088750987846784929e-167), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.973011016845703125000000000000000000000e2), SC_(2.709540176391601562500000000000000000000e1), SC_(1.297266632318496704101562500000000000000e-1), SC_(5.741110529966056682991578876376585720368e-76), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.973011016845703125000000000000000000000e2), SC_(1.007325439453125000000000000000000000000e2), SC_(1.396152824163436889648437500000000000000e-1), SC_(3.986465235013712024800527853926355261130e-82), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.973011016845703125000000000000000000000e2), SC_(1.698258666992187500000000000000000000000e2), SC_(1.475233435630798339843750000000000000000e-1), SC_(1.282914368961631556841107109769260537362e-88), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.990947418212890625000000000000000000000e2), SC_(2.837726783752441406250000000000000000000e1), SC_(2.586981952190399169921875000000000000000e-1), SC_(4.010760397811481592922659318296102139019e-28), SC_(9.999999999999999999999999995989239602189e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.990947418212890625000000000000000000000e2), SC_(1.093762969970703125000000000000000000000e2), SC_(2.802273929119110107421875000000000000000e-1), SC_(1.147074575458494625462413729160840794201e-31), SC_(9.999999999999999999999999999998852925425e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.990947418212890625000000000000000000000e2), SC_(1.756861267089843750000000000000000000000e2), SC_(2.951916158199310302734375000000000000000e-1), SC_(6.282739472900915270969727140602284966268e-35), SC_(9.999999999999999999999999999999999371726e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.992940368652343750000000000000000000000e2), SC_(3.152261734008789062500000000000000000000e1), SC_(3.892313838005065917968750000000000000000e-1), SC_(8.422189336248947153310041870225953476746e-8), SC_(9.999999157781066375105284668995812977405e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.992940368652343750000000000000000000000e2), SC_(1.094441146850585937500000000000000000000e2), SC_(4.201809167861938476562500000000000000000e-1), SC_(7.335131328288806712967036533340727031750e-9), SC_(9.999999926648686717111932870329634666593e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.992940368652343750000000000000000000000e2), SC_(1.811583862304687500000000000000000000000e2), SC_(4.443231821060180664062500000000000000000e-1), SC_(5.757614661494570228703696034256476014791e-10), SC_(9.999999994242385338505429771296303965744e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.993139648437500000000000000000000000000e2), SC_(3.423733520507812500000000000000000000000e1), SC_(4.684656560420989990234375000000000000000e-1), SC_(1.863939702782951433032535061847093568441e-2), SC_(9.813606029721704856696746493815290643156e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.993139648437500000000000000000000000000e2), SC_(1.264718551635742187500000000000000000000e2), SC_(5.114796757698059082031250000000000000000e-1), SC_(1.007244470524194476339420696922870052955e-2), SC_(9.899275552947580552366057930307712994705e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.993139648437500000000000000000000000000e2), SC_(1.826751708984375000000000000000000000000e2), SC_(5.337331295013427734375000000000000000000e-1), SC_(6.609032623936183443870278460254492940285e-3), SC_(9.933909673760638165561297215397455070597e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.994933471679687500000000000000000000000e2), SC_(3.477303314208984375000000000000000000000e1), SC_(5.153949856758117675781250000000000000000e-1), SC_(4.166545062867227029185104625407936519793e-1), SC_(5.833454937132772970814895374592063480207e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.994933471679687500000000000000000000000e2), SC_(1.279526672363281250000000000000000000000e2), SC_(5.630922913551330566406250000000000000000e-1), SC_(4.047264294803420310786201811806954855032e-1), SC_(5.952735705196579689213798188193045144968e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(1.994933471679687500000000000000000000000e2), SC_(1.831471099853515625000000000000000000000e2), SC_(5.870853066444396972656250000000000000000e-1), SC_(3.975777639882731166639751073427487388782e-1), SC_(6.024222360117268833360248926572512611218e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.012869720458984375000000000000000000000e2), SC_(3.767639541625976562500000000000000000000e1), SC_(5.195102095603942871093750000000000000000e-1), SC_(4.908453058041561326770248108124915148841e-1), SC_(5.091546941958438673229751891875084851159e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.012869720458984375000000000000000000000e2), SC_(1.310955810546875000000000000000000000000e2), SC_(5.674747824668884277343750000000000000000e-1), SC_(4.880013355565148373403579651471311501476e-1), SC_(5.119986644434851626596420348528688498524e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.012869720458984375000000000000000000000e2), SC_(1.867986450195312500000000000000000000000e2), SC_(5.917719602584838867187500000000000000000e-1), SC_(4.865115622386450054840671465169266303070e-1), SC_(5.134884377613549945159328534830733696930e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.192234497070312500000000000000000000000e2), SC_(4.238486480712890625000000000000000000000e1), SC_(5.013815760612487792968750000000000000000e-1), SC_(4.996393916841857205329558758114994140214e-1), SC_(5.003606083158142794670441241885005859786e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.192234497070312500000000000000000000000e2), SC_(1.311481323242187500000000000000000000000e2), SC_(5.470179319381713867187500000000000000000e-1), SC_(4.979590605173924270136788227743081964877e-1), SC_(5.020409394826075729863211772256918035123e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.192234497070312500000000000000000000000e2), SC_(1.914333953857421875000000000000000000000e2), SC_(5.735351443290710449218750000000000000000e-1), SC_(4.970700616975729647306042134273064266101e-1), SC_(5.029299383024270352693957865726935733899e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.391528472900390625000000000000000000000e2), SC_(4.420680999755859375000000000000000000000e1), SC_(4.807215332984924316406250000000000000000e-1), SC_(5.010267204369194276151409692506608230527e-1), SC_(4.989732795630805723848590307493391769473e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.391528472900390625000000000000000000000e2), SC_(1.357470245361328125000000000000000000000e2), SC_(5.275872349739074707031250000000000000000e-1), SC_(4.992607985019704978634733819705020939039e-1), SC_(5.007392014980295021365266180294979060961e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.391528472900390625000000000000000000000e2), SC_(1.915013732910156250000000000000000000000e2), SC_(5.522084236145019531250000000000000000000e-1), SC_(4.984164375342037717494529682030173040345e-1), SC_(5.015835624657962282505470317969826959655e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.590822448730468750000000000000000000000e2), SC_(5.569964599609375000000000000000000000000e1), SC_(4.676264822483062744140625000000000000000e-1), SC_(5.095053228212935201635041010229151710497e-1), SC_(4.904946771787064798364958989770848289503e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.590822448730468750000000000000000000000e2), SC_(1.362719116210937500000000000000000000000e2), SC_(5.082982182502746582031250000000000000000e-1), SC_(5.074424524427759223559954784280518560541e-1), SC_(4.925575475572240776440045215719481439459e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.590822448730468750000000000000000000000e2), SC_(1.918984832763671875000000000000000000000e2), SC_(5.329382419586181640625000000000000000000e-1), SC_(5.063337766350549554224443528311951973485e-1), SC_(4.936662233649450445775556471688048026515e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.989410400390625000000000000000000000000e2), SC_(5.940588760375976562500000000000000000000e1), SC_(4.393039345741271972656250000000000000000e-1), SC_(6.000880582476749937027945569110420971437e-1), SC_(3.999119417523250062972054430889579028563e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.989410400390625000000000000000000000000e2), SC_(1.451677856445312500000000000000000000000e2), SC_(4.813641905784606933593750000000000000000e-1), SC_(5.915511925062548988647870025827413811056e-1), SC_(4.084488074937451011352129974172586188944e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(2.989410400390625000000000000000000000000e2), SC_(1.929777069091796875000000000000000000000e2), SC_(5.021858811378479003906250000000000000000e-1), SC_(5.880647936741149501087277723487364132878e-1), SC_(4.119352063258850498912722276512635867122e-1) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(6.038262176513671875000000000000000000000e1), SC_(4.230284094810485839843750000000000000000e-1), SC_(9.977851090407225359839297939595457214636e-1), SC_(2.214890959277464016070206040454278536350e-3) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(1.481294555664062500000000000000000000000e2), SC_(4.606534242630004882812500000000000000000e-1), SC_(9.957282424377606356346329644628312528585e-1), SC_(4.271757562239364365367035537168747141534e-3) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(1.935389862060546875000000000000000000000e2), SC_(4.782629907131195068359375000000000000000e-1), SC_(9.945960851426927928055493135079582151791e-1), SC_(5.403914857307207194450686492041784820904e-3) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(5.978820800781250000000000000000000000000e2), SC_(6.163340759277343750000000000000000000000e1), SC_(3.982345759868621826171875000000000000000e-1), SC_(9.999999999983652719310843670759144107488e-1), SC_(1.634728068915632924085589251240883044304e-12) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(5.978820800781250000000000000000000000000e2), SC_(1.486264953613281250000000000000000000000e2), SC_(4.282388091087341308593750000000000000000e-1), SC_(9.999999999441405803165315291403807033859e-1), SC_(5.585941968346847085961929661413163659822e-11) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(5.978820800781250000000000000000000000000e2), SC_(1.937735595703125000000000000000000000000e2), SC_(4.426617622375488281250000000000000000000e-1), SC_(9.999999997983110564053295602949830922408e-1), SC_(2.016889435946704397050169077592286063336e-10) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(7.971761474609375000000000000000000000000e2), SC_(7.225879669189453125000000000000000000000e1), SC_(4.061267971992492675781250000000000000000e-1), SC_(9.999999999999999999999999999997290246639e-1), SC_(2.709753361367076002320691695420448945649e-31) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(7.971761474609375000000000000000000000000e2), SC_(1.515480346679687500000000000000000000000e2), SC_(4.280660748481750488281250000000000000000e-1), SC_(9.999999999999999999999999991303421392948e-1), SC_(8.696578607051932204338673773133285372742e-28) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(7.971761474609375000000000000000000000000e2), SC_(1.941185607910156250000000000000000000000e2), SC_(4.391900300979614257812500000000000000000e-1), SC_(9.999999999999999999999999789782532523897e-1), SC_(2.102174674761034080045110832943420015762e-26) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(9.566968083381652832031250000000000000000e-1), SC_(4.446664154529571533203125000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(6.723822936759331715719218974775798182259e-93) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(7.844540405273437500000000000000000000000e1), SC_(4.620748460292816162109375000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.547617018541288535048352060726128288630e-80) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(1.584414672851562500000000000000000000000e2), SC_(4.789382815361022949218750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.016791451093890693491633506946470794739e-72) }}, 
+      {{ SC_(1.992940368652343750000000000000000000000e2), SC_(9.964702148437500000000000000000000000000e2), SC_(1.962219390869140625000000000000000000000e2), SC_(4.865405857563018798828125000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.362436549196397892011134548818387099631e-69) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/ncbeta_big.ipp b/src/boost/libs/math/test/ncbeta_big.ipp
new file mode 100644
index 000000000..043d30321
--- /dev/null
+++ b/src/boost/libs/math/test/ncbeta_big.ipp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 72> ncbeta_big = {{
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.090561676025390625000000000000000000000e2), SC_(2.322846374511718750000000000000000000000e2), SC_(6.248598918318748474121093750000000000000e-2), SC_(5.822794103663371475941613559141512048716e-200), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.299617919921875000000000000000000000000e2), SC_(2.906821289062500000000000000000000000000e2), SC_(1.553418934345245361328125000000000000000e-1), SC_(2.376427035888773394585864365564861664654e-112), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.320523529052734375000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(3.780863285064697265625000000000000000000e-1), SC_(9.534309971409020993977308030456117404144e-89), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.322846374511718750000000000000000000000e2), SC_(1.879048828125000000000000000000000000000e3), SC_(6.258654594421386718750000000000000000000e-1), SC_(8.273529404980685686135545983154559305766e-53), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.323078765869140625000000000000000000000e2), SC_(2.308069091796875000000000000000000000000e3), SC_(7.707736492156982421875000000000000000000e-1), SC_(6.642746074306700324296888792472255191709e-16), SC_(9.999999999999993357253925693299675703111e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.325169372558593750000000000000000000000e2), SC_(8.064482421875000000000000000000000000000e3), SC_(9.388024210929870605468750000000000000000e-1), SC_(3.784012698595881643945309133853831952949e-3), SC_(9.962159873014041183560546908661461680471e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.346074829101562500000000000000000000000e2), SC_(1.567437500000000000000000000000000000000e4), SC_(9.707729816436767578125000000000000000000e-1), SC_(2.935931059732195123761306546780042425559e-1), SC_(7.064068940267804876238693453219957574441e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(2.555131072998046875000000000000000000000e2), SC_(2.000542187500000000000000000000000000000e4), SC_(9.756411910057067871093750000000000000000e-1), SC_(4.916958930557002818402814932631962599797e-1), SC_(5.083041069442997181597185067368037400203e-1) }}, 
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+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(5.813642578125000000000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(6.112647652626037597656250000000000000000e-1), SC_(9.955089747240769047271157763291403354685e-1), SC_(4.491025275923095272884223670859664531545e-3) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(8.720463867187500000000000000000000000000e2), SC_(1.879048828125000000000000000000000000000e3), SC_(6.542472243309020996093750000000000000000e-1), SC_(9.999999972226024110911179121134729543583e-1), SC_(2.777397588908882087886527045641662997938e-9) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(1.162728515625000000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(6.569214463233947753906250000000000000000e-1), SC_(9.999999999999999999995533478732255838241e-1), SC_(4.466521267744161758750286812848432918534e-22) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(1.453410644531250000000000000000000000000e3), SC_(8.064482421875000000000000000000000000000e3), SC_(8.322365880012512207031250000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.724098253290586949046235121920786188871e-50) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(7.318240966796875000000000000000000000000e2), SC_(2.322846374511718750000000000000000000000e2), SC_(9.197415113449096679687500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.098029526746715772059557152803443778923e-305) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(8.781889038085937500000000000000000000000e2), SC_(2.906821289062500000000000000000000000000e2), SC_(5.607348680496215820312500000000000000000e-2), SC_(4.137966307189253467290003067675414259896e-745), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.660078735351562500000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(1.505941897630691528320312500000000000000e-1), SC_(2.312581255996761321216691130907918725012e-439), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.747897338867187500000000000000000000000e2), SC_(1.879048828125000000000000000000000000000e3), SC_(3.313369452953338623046875000000000000000e-1), SC_(1.822938095440314319524488179659476739600e-219), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.757655029296875000000000000000000000000e2), SC_(2.308069091796875000000000000000000000000e3), SC_(5.143225789070129394531250000000000000000e-1), SC_(1.421828425120214003942552400693765508326e-67), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.758630981445312500000000000000000000000e2), SC_(8.064482421875000000000000000000000000000e3), SC_(7.532094120979309082031250000000000000000e-1), SC_(1.278959916011845843611062944857639073496e-47), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.767413330078125000000000000000000000000e2), SC_(1.567437500000000000000000000000000000000e4), SC_(8.912172317504882812500000000000000000000e-1), SC_(2.728322119200344826952604570486340362225e-3), SC_(9.972716778807996551730473954295136596378e-1) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(9.855231323242187500000000000000000000000e2), SC_(2.000542187500000000000000000000000000000e4), SC_(9.167025685310363769531250000000000000000e-1), SC_(3.589860146897613099118333082236256051011e-1), SC_(6.410139853102386900881666917763743948989e-1) }}, 
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(1.073342041015625000000000000000000000000e3), SC_(5.348914843750000000000000000000000000000e4), SC_(9.627218246459960937500000000000000000000e-1), SC_(4.959666475640454900645452407891567289414e-1), SC_(5.040333524359545099354547592108432710586e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(1.879048919677734375000000000000000000000e2), SC_(2.000542187500000000000000000000000000000e4), SC_(9.922152757644653320312500000000000000000e-1), SC_(9.999999999999999906525997974104688623475e-1), SC_(9.347400202589531137652505012008628236569e-18) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(4.697622070312500000000000000000000000000e2), SC_(5.348914843750000000000000000000000000000e4), SC_(9.946175813674926757812500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.812197155304730289100502335815782533179e-90) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(2.254858642578125000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(4.695008695125579833984375000000000000000e-1), SC_(5.029136707270802745099779711341809125434e-1), SC_(4.970863292729197254900220288658190874566e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(2.442763427734375000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(4.537145793437957763671875000000000000000e-1), SC_(5.289819531087712125353700747589292943748e-1), SC_(4.710180468912287874646299252410707056252e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(2.818573242187500000000000000000000000000e3), SC_(9.757655029296875000000000000000000000000e2), SC_(4.618234336376190185546875000000000000000e-1), SC_(7.697208318278162838782020353802049561352e-1), SC_(2.302791681721837161217979646197950438648e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(3.758097656250000000000000000000000000000e3), SC_(1.879048828125000000000000000000000000000e3), SC_(4.805082082748413085937500000000000000000e-1), SC_(9.999999999999968174474902410920896815627e-1), SC_(3.182552509758907910318437261362448122236e-15) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(5.637146484375000000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(4.581811428070068359375000000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.102182053081964421449952586342158942845e-77) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(1.154034545898437500000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(9.193707704544067382812500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.009973732211367743382389112086731774944e-373) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(1.731051757812500000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(9.172621965408325195312500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(1.026038931560756120296233644557392281345e-728) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.077262207031250000000000000000000000000e3), SC_(9.757655029296875000000000000000000000000e2), SC_(5.737299844622611999511718750000000000000e-2), SC_(1.179438847006603499209184718675810235937e-1792), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.284988525390625000000000000000000000000e3), SC_(1.879048828125000000000000000000000000000e3), SC_(1.467453837394714355468750000000000000000e-1), SC_(2.170603560826971624886942881463485578948e-993), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.305760986328125000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(3.001131117343902587890625000000000000000e-1), SC_(8.489166704175388964892782203557684023722e-396), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.308069091796875000000000000000000000000e3), SC_(8.064482421875000000000000000000000000000e3), SC_(5.498300790786743164062500000000000000000e-1), SC_(1.254458591955832602131382517483326851816e-213), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.308300048828125000000000000000000000000e3), SC_(1.567437500000000000000000000000000000000e4), SC_(7.331741452217102050781250000000000000000e-1), SC_(1.826182635021394060381579011272045655768e-85), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.310377197265625000000000000000000000000e3), SC_(2.000542187500000000000000000000000000000e4), SC_(8.335568308830261230468750000000000000000e-1), SC_(4.781961640340889428050915411134222276392e-3), SC_(9.952180383596591105719490845888657777236e-1) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(2.331149658203125000000000000000000000000e3), SC_(5.348914843750000000000000000000000000000e4), SC_(9.247934818267822265625000000000000000000e-1), SC_(2.711435846327258761421995177897213919361e-1), SC_(7.288564153672741238578004822102786080639e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(8.064482421875000000000000000000000000000e2), SC_(5.348914843750000000000000000000000000000e4), SC_(9.886781573295593261718750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(3.572832953557009007878032183153866412857e-70) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(8.870930664062500000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(4.797580540180206298828125000000000000000e-1), SC_(5.000745572327812933893269721471576983968e-1), SC_(4.999254427672187066106730278528423016032e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(9.677378906250000000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(4.590313434600830078125000000000000000000e-1), SC_(5.059188813196472021413131958200680825291e-1), SC_(4.940811186803527978586868041799319174709e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(1.048382714843750000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(4.498181641101837158203125000000000000000e-1), SC_(5.598900959283613304893371453709487210277e-1), SC_(4.401099040716386695106628546290512789723e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(1.209672363281250000000000000000000000000e4), SC_(1.879048828125000000000000000000000000000e3), SC_(4.323903024196624755859375000000000000000e-1), SC_(9.472136011791436975079346659925488874113e-1), SC_(5.278639882085630249206533400745111258868e-2) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(1.612896484375000000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(4.215314388275146484375000000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(8.780570835430068597846932288933646184057e-74) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(3.918593750000000000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(9.337261915206909179687500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(6.669886156648541481539239127712633559563e-822) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(7.837187500000000000000000000000000000000e3), SC_(2.906821289062500000000000000000000000000e2), SC_(9.171786308288574218750000000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.537328853966596437961665214743068422061e-2547) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.175578125000000000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(9.157835841178894042968750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), BOOST_MATH_SMALL_CONSTANT(SC_(2.578246188050503138375491350089200688257e-4975)) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.410693750000000000000000000000000000000e4), SC_(1.879048828125000000000000000000000000000e3), SC_(5.408018454909324645996093750000000000000e-2), BOOST_MATH_SMALL_CONSTANT(SC_(8.129170124843363135273982574840676966496e-11622)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.551763183593750000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(1.300653219223022460937500000000000000000e-1), BOOST_MATH_SMALL_CONSTANT(SC_(9.360587609330494354572770355536264481673e-5810)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.565870117187500000000000000000000000000e4), SC_(8.064482421875000000000000000000000000000e3), SC_(2.786142826080322265625000000000000000000e-1), SC_(1.261773771265826023398263693589020602527e-2297), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.567437500000000000000000000000000000000e4), SC_(1.567437500000000000000000000000000000000e4), SC_(4.499984383583068847656250000000000000000e-1), SC_(1.100181469524262372222569926548005371912e-657), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.567594238281250000000000000000000000000e4), SC_(2.000542187500000000000000000000000000000e4), SC_(5.588295459747314453125000000000000000000e-1), SC_(2.560684482889387137691472255137878939473e-124), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(1.569004980468750000000000000000000000000e4), SC_(5.348914843750000000000000000000000000000e4), SC_(7.226873636245727539062500000000000000000e-1), SC_(1.364294949865959215854400373254240620072e-4), SC_(9.998635705050134040784145599626745759380e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.020547656250000000000000000000000000000e4), SC_(2.322846374511718750000000000000000000000e2), SC_(4.984606206417083740234375000000000000000e-1), SC_(4.207010290007294561360169037428775918686e-1), SC_(5.792989709992705438639830962571224081314e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.200596484375000000000000000000000000000e4), SC_(2.906821289062500000000000000000000000000e2), SC_(4.779963195323944091796875000000000000000e-1), SC_(5.000532054426537105845574884793934312647e-1), SC_(4.999467945573462894154425115206065687353e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.400650781250000000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(4.605794548988342285156250000000000000000e-1), SC_(5.091425099452637143386757843925728266261e-1), SC_(4.908574900547362856613242156074271733739e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(2.600704687500000000000000000000000000000e4), SC_(1.879048828125000000000000000000000000000e3), SC_(4.466459453105926513671875000000000000000e-1), SC_(5.942780802025344552207236227109420873466e-1), SC_(4.057219197974655447792763772890579126534e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(3.000813281250000000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(4.193387329578399658203125000000000000000e-1), SC_(9.956380547431874873496935745113045362901e-1), SC_(4.361945256812512650306425488695463709880e-3) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(4.001084375000000000000000000000000000000e4), SC_(8.064482421875000000000000000000000000000e3), SC_(4.320940375328063964843750000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.312959578619525129783342844601108813625e-171) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.348915039062500000000000000000000000000e3), SC_(2.322846374511718750000000000000000000000e2), SC_(9.546350240707397460937500000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(2.237637941712600702639280257134814673880e-479) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(1.337228710937500000000000000000000000000e4), SC_(2.906821289062500000000000000000000000000e2), SC_(9.334779381752014160156250000000000000000e-1), SC_(1.000000000000000000000000000000000000000), SC_(7.697670330139327953085651655652971629062e-2801) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(2.674457421875000000000000000000000000000e4), SC_(9.757655029296875000000000000000000000000e2), SC_(9.171703457832336425781250000000000000000e-1), SC_(1.000000000000000000000000000000000000000), BOOST_MATH_SMALL_CONSTANT(SC_(4.351032154164457022358781300987678516698e-8686)) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(4.814023046875000000000000000000000000000e4), SC_(2.308069091796875000000000000000000000000e3), SC_(5.316342040896415710449218750000000000000e-2), BOOST_MATH_SMALL_CONSTANT(SC_(7.149393115066689998913230513163359568986e-39230)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.295425781250000000000000000000000000000e4), SC_(8.064482421875000000000000000000000000000e3), SC_(1.301675438880920410156250000000000000000e-1), BOOST_MATH_SMALL_CONSTANT(SC_(8.209475494274670414553430270177931678225e-19833)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.343566015625000000000000000000000000000e4), SC_(1.567437500000000000000000000000000000000e4), SC_(2.671890854835510253906250000000000000000e-1), BOOST_MATH_SMALL_CONSTANT(SC_(9.106575025886434917832830930013038223616e-7308)), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.348914843750000000000000000000000000000e4), SC_(2.000542187500000000000000000000000000000e4), SC_(4.070649147033691406250000000000000000000e-1), SC_(8.116577402645222335506750742438163224103e-1745), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(5.349450000000000000000000000000000000000e4), SC_(5.348914843750000000000000000000000000000e4), SC_(5.399778485298156738281250000000000000000e-1), SC_(4.303272623463637069485056374998013097226e-372), SC_(1.000000000000000000000000000000000000000) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nccs.ipp b/src/boost/libs/math/test/nccs.ipp
new file mode 100644
index 000000000..f91b347ab
--- /dev/null
+++ b/src/boost/libs/math/test/nccs.ipp
@@ -0,0 +1,3210 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 3200> nccs = {{
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(9.566968083381652832031250000000000000000e-1), SC_(2.908610105514526367187500000000000000000e-1), SC_(9.191713210042786241188236234883914114395e-2), SC_(9.080828678995721375881176376511608588560e-1) }}, 
+      {{ SC_(1.951913356781005859375000000000000000000), SC_(6.366568565368652343750000000000000000000), SC_(2.079620361328125000000000000000000000000), SC_(8.979177306921986952474050864260945461537e-2), SC_(9.102082269307801304752594913573905453846e-1) }}, 
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+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(5.569964599609375000000000000000000000000e1), SC_(2.547404632568359375000000000000000000000e2), SC_(5.085064634043854272643008119337915428271e-1), SC_(4.914935365956145727356991880662084571729e-1) }}, 
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+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(6.038262176513671875000000000000000000000e1), SC_(2.597044067382812500000000000000000000000e2), SC_(5.129080861569142407257142135128426031641e-1), SC_(4.870919138430857592742857864871573968359e-1) }}, 
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+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(6.331008529663085937500000000000000000000e1), SC_(2.652319641113281250000000000000000000000e2), SC_(5.531745854351384031064771924275531720248e-1), SC_(4.468254145648615968935228075724468279752e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(6.341989517211914062500000000000000000000e1), SC_(2.889872741699218750000000000000000000000e2), SC_(8.480809538563064598505202795459528835631e-1), SC_(1.519190461436935401494797204540471164369e-1) }}, 
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+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(7.844540405273437500000000000000000000000e1), SC_(3.610635681152343750000000000000000000000e2), SC_(9.981151164217188367115242273673616021111e-1), SC_(1.884883578281163288475772632638397888942e-3) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(7.974770355224609375000000000000000000000e1), SC_(4.185652770996093750000000000000000000000e2), SC_(9.999977834200703695571672244148127730619e-1), SC_(2.216579929630442832775585187226938128851e-6) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(8.435225677490234375000000000000000000000e1), SC_(5.672961425781250000000000000000000000000e2), SC_(9.999999999999999582156647231511972583150e-1), SC_(4.178433527684880274168501371346571094419e-17) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(8.441753387451171875000000000000000000000e1), SC_(8.511400146484375000000000000000000000000e2), SC_(1.000000000000000000000000000000000000000), SC_(3.925070158959466953812479298717915302202e-47) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(9.495173645019531250000000000000000000000e1), SC_(1.176990234375000000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.483287238711652862667480704405226065147e-85) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(9.707512664794921875000000000000000000000e1), SC_(1.481854736328125000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.514425769807175623558095528529580391211e-127) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(9.811781311035156250000000000000000000000e1), SC_(2.974136352539062500000000000000000000000e1), SC_(7.951503824873234670315135566997042985015e-66), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.007325439453125000000000000000000000000e2), SC_(7.500708770751953125000000000000000000000e1), SC_(1.351138180982215102176233383969144843736e-31), SC_(9.999999999999999999999999999998648861819e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.093762969970703125000000000000000000000e2), SC_(1.543360595703125000000000000000000000000e2), SC_(3.842311051911953531699511314150830125915e-11), SC_(9.999999999615768894808804646830048868585e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.094441146850585937500000000000000000000e2), SC_(2.315549468994140625000000000000000000000e2), SC_(1.977771601141785005040394981394662386973e-3), SC_(9.980222283988582149949596050186053376130e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.264718551635742187500000000000000000000e2), SC_(2.931908874511718750000000000000000000000e2), SC_(1.379394613924815578740312961727573956301e-1), SC_(8.620605386075184421259687038272426043699e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.279526672363281250000000000000000000000e2), SC_(3.239759826660156250000000000000000000000e2), SC_(4.679501016162186391406519275639482219570e-1), SC_(5.320498983837813608593480724360517780430e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.310955810546875000000000000000000000000e2), SC_(3.300610046386718750000000000000000000000e2), SC_(5.069084021374822564265958345673588983285e-1), SC_(4.930915978625177435734041654326411016715e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.311481323242187500000000000000000000000e2), SC_(3.304439392089843750000000000000000000000e2), SC_(5.112441754093731192770461370966518166597e-1), SC_(4.887558245906268807229538629033481833403e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.327210998535156250000000000000000000000e2), SC_(3.320501098632812500000000000000000000000e2), SC_(5.116528911763111280094804346204772872348e-1), SC_(4.883471088236888719905195653795227127652e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.357470245361328125000000000000000000000e2), SC_(3.353778991699218750000000000000000000000e2), SC_(5.155208220685295000915831311905315735513e-1), SC_(4.844791779314704999084168688094684264487e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.362719116210937500000000000000000000000e2), SC_(3.389234008789062500000000000000000000000e2), SC_(5.544203142815802710390962198185787464169e-1), SC_(4.455796857184197289609037801814212535831e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.389657287597656250000000000000000000000e2), SC_(3.720877075195312500000000000000000000000e2), SC_(8.622908847894982566097825610829691392981e-1), SC_(1.377091152105017433902174389170308607019e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.412092285156250000000000000000000000000e2), SC_(4.086060485839843750000000000000000000000e2), SC_(9.821607322117884979495654377827711966550e-1), SC_(1.783926778821150205043456221722880334497e-2) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.451677856445312500000000000000000000000e2), SC_(4.478026428222656250000000000000000000000e2), SC_(9.989298174363830482551903570127157560119e-1), SC_(1.070182563616951744809642987284243988141e-3) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.481294555664062500000000000000000000000e2), SC_(5.211378784179687500000000000000000000000e2), SC_(9.999994797904691860176751277865619206758e-1), SC_(5.202095308139823248722134380793241867631e-7) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.486264953613281250000000000000000000000e2), SC_(6.958446044921875000000000000000000000000e2), SC_(9.999999999999999996045263399197254490884e-1), SC_(3.954736600802745509115943800189889355831e-19) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.515480346679687500000000000000000000000e2), SC_(1.052531494140625000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(6.601257805885150289909120658456231227750e-54) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.527500000000000000000000000000000000000e2), SC_(1.408183227539062500000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.000237582081951046145742432553355955693e-96) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.584414672851562500000000000000000000000e2), SC_(1.788686401367187500000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(5.957827315427703908759646403474290650064e-146) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.594559783935546875000000000000000000000e2), SC_(3.587517929077148437500000000000000000000e1), SC_(1.356176082172300107520771145977600912607e-69), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.595857238769531250000000000000000000000e2), SC_(8.972038269042968750000000000000000000000e1), SC_(8.216070643082009610897966985030390252065e-34), SC_(9.999999999999999999999999999999991783929e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.596211700439453125000000000000000000000e2), SC_(1.794584960937500000000000000000000000000e2), SC_(7.166324162989548688114040163345096606824e-12), SC_(9.999999999928336758370104513118859598367e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.600560913085937500000000000000000000000e2), SC_(2.695139160156250000000000000000000000000e2), SC_(1.327523249276128325865905450265666297728e-3), SC_(9.986724767507238716741340945497343337023e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.629447326660156250000000000000000000000e2), SC_(3.260164794921875000000000000000000000000e2), SC_(1.301004072687408931880643785374331713448e-1), SC_(8.698995927312591068119356214625668286552e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.643806610107421875000000000000000000000e2), SC_(3.600397033691406250000000000000000000000e2), SC_(4.660182128381547289926298172432381841274e-1), SC_(5.339817871618452710073701827567618158726e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.646915740966796875000000000000000000000e2), SC_(3.636233825683593750000000000000000000000e2), SC_(5.062665303560026040030081445813429265462e-1), SC_(4.937334696439973959969918554186570734538e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.670017089843750000000000000000000000000e2), SC_(3.662975158691406250000000000000000000000e2), SC_(5.106973005574084169848510356025972361947e-1), SC_(4.893026994425915830151489643974027638053e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.698258666992187500000000000000000000000e2), SC_(3.691585998535156250000000000000000000000e2), SC_(5.111052702424046835457855804537903702324e-1), SC_(4.888947297575953164542144195462096297676e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.744857635498046875000000000000000000000e2), SC_(3.741553649902343750000000000000000000000e2), SC_(5.150887834143480940075807657281644704146e-1), SC_(4.849112165856519059924192342718355295854e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.756861267089843750000000000000000000000e2), SC_(3.787317504882812500000000000000000000000e2), SC_(5.553201941675350167646371773361318286268e-1), SC_(4.446798058324649832353628226638681713732e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.811583862304687500000000000000000000000e2), SC_(4.184996337890625000000000000000000000000e2), SC_(8.705310827199552808744555344825350400779e-1), SC_(1.294689172800447191255444655174649599221e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.826751708984375000000000000000000000000e2), SC_(4.583652038574218750000000000000000000000e2), SC_(9.852368357723595013366611071898316886584e-1), SC_(1.476316422764049866333889281016831134165e-2) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.831471099853515625000000000000000000000e2), SC_(4.971757812500000000000000000000000000000e2), SC_(9.992475277030363823098749022492933911247e-1), SC_(7.524722969636176901250977507066088753398e-4) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.867986450195312500000000000000000000000e2), SC_(5.791416625976562500000000000000000000000e2), SC_(9.999997868073928052689964204548628458249e-1), SC_(2.131926071947310035795451371541751186443e-7) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.900444183349609375000000000000000000000e2), SC_(7.786804199218750000000000000000000000000e2), SC_(9.999999999999999999842890448735225215767e-1), SC_(1.571095512647747842332431001488736906025e-20) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.914333953857421875000000000000000000000e2), SC_(1.172187500000000000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(3.535476598966853255870979872762898186893e-58) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.915013732910156250000000000000000000000e2), SC_(1.563188720703125000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.503818272229840966678812511638176571203e-104) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.918984832763671875000000000000000000000e2), SC_(1.955971435546875000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(2.310477211914576555408738212352063615286e-156) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.929777069091796875000000000000000000000e2), SC_(3.922735214233398437500000000000000000000e1), SC_(5.529022449107786967054709588291909745351e-72), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.935389862060546875000000000000000000000e2), SC_(9.820869445800781250000000000000000000000e1), SC_(3.003464474651918107665338937597739013444e-35), SC_(9.999999999999999999999999999999999699654e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.937735595703125000000000000000000000000e2), SC_(1.965346832275390625000000000000000000000e2), SC_(2.080463495775573742672052667674087592048e-12), SC_(9.999999999979195365042244262573279473323e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.941185607910156250000000000000000000000e2), SC_(2.950607910156250000000000000000000000000e2), SC_(9.973915776745850702522937113932704987176e-4), SC_(9.990026084223254149297477062886067295013e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.962219390869140625000000000000000000000e2), SC_(3.559659729003906250000000000000000000000e2), SC_(1.231238558149305651892248029845975246239e-1), SC_(8.768761441850694348107751970154024753761e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.985762634277343750000000000000000000000e2), SC_(3.938933410644531250000000000000000000000e2), SC_(4.642429596210990429025849224204611903317e-1), SC_(5.357570403789009570974150775795388096683e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.988137054443359375000000000000000000000e2), SC_(3.977113952636718750000000000000000000000e2), SC_(5.056692632383849664727396199463872273040e-1), SC_(4.943307367616150335272603800536127726960e-1) }}, 
+      {{ SC_(1.992958068847656250000000000000000000000e2), SC_(1.992922668457031250000000000000000000000e2), SC_(3.985880737304687500000000000000000000000e2), SC_(5.102581793845303603671068481454659458711e-1), SC_(4.897418206154696396328931518545340541289e-1) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nccs_big.ipp b/src/boost/libs/math/test/nccs_big.ipp
new file mode 100644
index 000000000..47395fc3c
--- /dev/null
+++ b/src/boost/libs/math/test/nccs_big.ipp
@@ -0,0 +1,240 @@
+// Copyright John Maddock 2008.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Some of these tests have been commented out: 
+// the current algorithm may underflow to zero
+// prematurely in these cases.
+//
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 216> nccs_big = {{
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(1.036294460296630859375000000000000000000e1), SC_(6.015496565199092654771842521716269252752e-33), SC_(9.999999999999999999999999999999939845034e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(2.602141952514648437500000000000000000000e1), SC_(6.271325708033427466636203558887430713942e-16), SC_(9.999999999999993728674291966572533363796e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(5.471894454956054687500000000000000000000e1), SC_(5.592130493491734836774684682197361443348e-6), SC_(9.999944078695065082651632253153178026386e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(8.737109375000000000000000000000000000000e1), SC_(2.710350845630041378510514217949405178637e-2), SC_(9.728964915436995862148948578205059482136e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(1.078618545532226562500000000000000000000e2), SC_(2.416865577598000489309403624290209365410e-1), SC_(7.583134422401999510690596375709790634590e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(1.631703033447265625000000000000000000000e2), SC_(4.850524327039212486399364362407790060498e-1), SC_(5.149475672960787513600635637592209939502e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(2.240465087890625000000000000000000000000e2), SC_(5.102803820072670629735512094460263022259e-1), SC_(4.897196179927329370264487905539736977741e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(2.581070861816406250000000000000000000000e2), SC_(5.127291899610524813372367620548767727485e-1), SC_(4.872708100389475186627632379451232272515e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(5.197506713867187500000000000000000000000e2), SC_(5.093600674154814778853402924042807787787e-1), SC_(4.906399325845185221146597075957192212213e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(7.723677978515625000000000000000000000000e2), SC_(5.129845120964498366078694646976298310694e-1), SC_(4.870154879035501633921305353023701689306e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(1.237953002929687500000000000000000000000e3), SC_(5.763985263535360329428622940628006790554e-1), SC_(4.236014736464639670571377059371993209446e-1) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(3.597574707031250000000000000000000000000e3), SC_(9.976074228142860532304918135060016111210e-1), SC_(2.392577185713946769508186493998388879014e-3) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(6.406252441406250000000000000000000000000e3), SC_(9.999999999988234458037685450814132140028e-1), SC_(1.176554196231454918586785997205692327229e-12) }}, 
+      {{ SC_(1.018147201538085937500000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(1.278815039062500000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.793740612159310215972825187830541699059e-44) }}, 
+      //{{ SC_(1.018147201538085937500000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(3.816887890625000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(2.624557028577293196236760011838770407123e-282) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(2.081713409423828125000000000000000000000e2), SC_(9.999999918310188386408291661140606777109e-1), SC_(8.168981161359170833885939322289111656020e-9) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(3.136257019042968750000000000000000000000e2), SC_(9.999999999999999999997481941485462016787e-1), SC_(2.518058514537983212510200000883718673124e-22) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(4.395764770507812500000000000000000000000e2), SC_(9.999999999999999999999999999999999999891e-1), SC_(1.093991813308405906816815119997010831382e-38) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(5.847551269531250000000000000000000000000e2), SC_(1.000000000000000000000000000000000000000), SC_(1.417351093183736492767210449419689603273e-57) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(1.203027439117431640625000000000000000000e1), SC_(2.489187894860431662832274494325344409044e-33), SC_(9.999999999999999999999999999999975108121e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(4.131867980957031250000000000000000000000e1), SC_(1.863717764438118737209026563549291091122e-17), SC_(9.999999999999999813628223556188126279097e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(1.123635025024414062500000000000000000000e2), SC_(1.562309944720834483076150644397119189573e-7), SC_(9.999998437690055279165516923849355602881e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(1.939224700927734375000000000000000000000e2), SC_(8.258780457581631026955349046902786232602e-3), SC_(9.917412195424183689730446509530972137674e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(4.681394042968750000000000000000000000000e2), SC_(1.127617352458129417761740693640329728914e-1), SC_(8.872382647541870582238259306359670271086e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(7.643319091796875000000000000000000000000e2), SC_(4.498977537652141854059258795223599226429e-1), SC_(5.501022462347858145940741204776400773571e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(1.224926147460937500000000000000000000000e3), SC_(4.985999647216386426350875863423295225661e-1), SC_(5.014000352783613573649124136576704774339e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(3.270978759765625000000000000000000000000e3), SC_(5.034969893045204369695930956253638797689e-1), SC_(4.965030106954795630304069043746361202311e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(5.339533691406250000000000000000000000000e3), SC_(5.041995783547151692163350304141522450987e-1), SC_(4.958004216452848307836649695858477549013e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(9.847333007812500000000000000000000000000e3), SC_(5.218324048038104189906770175658517840455e-1), SC_(4.781675951961895810093229824341482159545e-1) }}, 
+      {{ SC_(1.022709503173828125000000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(2.570083984375000000000000000000000000000e4), SC_(7.880103151988891744733896616244249648153e-1), SC_(2.119896848011108255266103383755750351847e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(1.203816833496093750000000000000000000000e2), SC_(7.750624369611961643063262555200813807594e-1), SC_(2.249375630388038356936737444799186192406e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(1.318729553222656250000000000000000000000e2), SC_(9.228340394039078619369894783923632677951e-1), SC_(7.716596059609213806301052160763673220487e-2) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(1.498202362060546875000000000000000000000e2), SC_(9.803864144780559501573182632699657782309e-1), SC_(1.961358552194404984268173673003422176910e-2) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(1.834548645019531250000000000000000000000e2), SC_(9.994450477369483313976504627305397704752e-1), SC_(5.549522630516686023495372694602295248293e-4) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(2.513099212646484375000000000000000000000e2), SC_(9.999999978494698815923024286513386419513e-1), SC_(2.150530118407697571348661358048672055570e-9) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(5.118807983398437500000000000000000000000e2), SC_(9.999999999999999999999999996281454655250e-1), SC_(3.718545344749508823584391984811260019469e-28) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(9.203168945312500000000000000000000000000e2), SC_(1.000000000000000000000000000000000000000), SC_(1.844040117407159954894223705683882648116e-61) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(1.319577636718750000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(2.307567466440535440269025223714763348054e-102) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(5.255071640014648437500000000000000000000e1), SC_(2.531796845396444591295015433691444544079e-68), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(1.943511657714843750000000000000000000000e2), SC_(2.750789427801526842024111313182490307468e-49), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(6.157522583007812500000000000000000000000e2), SC_(2.461738268060311544490176429122248153100e-26), SC_(9.999999999999999999999999753826173193969e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(2.457248291015625000000000000000000000000e3), SC_(5.405661850111669636069837606294397747895e-15), SC_(9.999999999999945943381498883303639301624e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(4.809916503906250000000000000000000000000e3), SC_(8.354544126325367215549378532566857712491e-5), SC_(9.999164545587367463278445062146743314229e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(9.744418945312500000000000000000000000000e3), SC_(3.107885865480433461597834983181702392517e-1), SC_(6.892114134519566538402165016818297607483e-1) }}, 
+      {{ SC_(1.076231689453125000000000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(2.542627734375000000000000000000000000000e4), SC_(4.694171447888456738194422581057552910696e-1), SC_(5.305828552111543261805577418942447089304e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(1.164947891235351562500000000000000000000e2), SC_(5.175568165717480244417625170911940287297e-1), SC_(4.824431834282519755582374829088059712703e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(1.169627151489257812500000000000000000000e2), SC_(5.178551608267340377873127329785924010260e-1), SC_(4.821448391732659622126872670214075989740e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(1.224255447387695312500000000000000000000e2), SC_(5.204907972977779716918496579742369694450e-1), SC_(4.795092027022220283081503420257630305550e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(1.306537322998046875000000000000000000000e2), SC_(5.474528038995881333124532630668392901748e-1), SC_(4.525471961004118666875467369331607098252e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(1.459830474853515625000000000000000000000e2), SC_(7.832288366979795704969093528018475003507e-1), SC_(2.167711633020204295030906471981524996493e-1) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(2.132206115722656250000000000000000000000e2), SC_(9.413783073078313307265389267620909849263e-1), SC_(5.862169269216866927346107323790901507365e-2) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(3.082769470214843750000000000000000000000e2), SC_(9.934777844272251128630090437162209999485e-1), SC_(6.522215572774887136990956283779000051496e-3) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(4.064586181640625000000000000000000000000e2), SC_(9.999821138010587036978045188884872283393e-1), SC_(1.788619894129630219548111151277166068256e-5) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(1.065128051757812500000000000000000000000e3), SC_(9.999999999999999999999935904841949523242e-1), SC_(6.409515805047675849166079894491046374664e-24) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(2.353384765625000000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.023661920851538295705929615761053588337e-98) }}, 
+      //{{ SC_(1.146800689697265625000000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(4.954245605468750000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(9.981443894896708755422107969100144511423e-280) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(1.641693945312500000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(2.211584751667926504338064281830540287596e-1103) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(5.351408691406250000000000000000000000000e2), SC_(1.001060468250084974228706622505658052743e-557), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(2.462476074218750000000000000000000000000e3), SC_(3.076998312034325431109311869678310633288e-542), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.146800689697265625000000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(1.272939257812500000000000000000000000000e4), SC_(2.582783056414707066651486369690842337313e-478), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(8.988488769531250000000000000000000000000e1), SC_(1.947215129705794162400262597110130678675e-2), SC_(9.805278487029420583759973740288986932133e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(1.082724685668945312500000000000000000000e2), SC_(2.260847634753909672699530965233752354440e-1), SC_(7.739152365246090327300469034766247645560e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(1.243984146118164062500000000000000000000e2), SC_(4.864415278870480310004614177780510249441e-1), SC_(5.135584721129519689995385822219489750559e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(1.468006896972656250000000000000000000000e1), SC_(1.325791473388671875000000000000000000000e2), SC_(5.139572375025050413624535636515953815362e-1), SC_(4.860427624974949586375464363484046184638e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(1.803178977966308593750000000000000000000e1), SC_(1.360635833740234375000000000000000000000e2), SC_(5.169279946798113870238456169273764061147e-1), SC_(4.830720053201886129761543830726235938853e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(6.300376892089843750000000000000000000000e1), SC_(1.810536651611328125000000000000000000000e2), SC_(5.154815960157419965920383135337618177151e-1), SC_(4.845184039842580034079616864662381822849e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(1.224560546875000000000000000000000000000e2), SC_(2.407283477783203125000000000000000000000e2), SC_(5.167639614756665255117281881493833876847e-1), SC_(4.832360385243334744882718118506166123153e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(1.562923583984375000000000000000000000000e2), SC_(2.770673828125000000000000000000000000000e2), SC_(5.493914007570467249832828175795874676982e-1), SC_(4.506085992429532750167171824204125323018e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(4.178839721679687500000000000000000000000e2), SC_(5.895073852539062500000000000000000000000e2), SC_(8.882130032023238959253365037648334240734e-1), SC_(1.117869967976761040746634962351665759266e-1) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(6.697814941406250000000000000000000000000e2), SC_(9.453759765625000000000000000000000000000e2), SC_(9.974140880981057159646959807649043372741e-1), SC_(2.585911901894284035304019235095662725923e-3) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(1.123881347656250000000000000000000000000e3), SC_(1.614486938476562500000000000000000000000e3), SC_(9.999997953811623764782742168117905843459e-1), SC_(2.046188376235217257831882094156540543191e-7) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(3.168707763671875000000000000000000000000e3), SC_(4.930109375000000000000000000000000000000e3), SC_(9.999999999999999999999999999999999999934e-1), SC_(6.557262454499425866053901459949272385297e-39) }}, 
+      //{{ SC_(1.180317916870117187500000000000000000000e2), SC_(5.236728515625000000000000000000000000000e3), SC_(1.070952050781250000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(6.167443665608496863538189576167114928763e-204) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(9.735224609375000000000000000000000000000e3), SC_(2.955976953125000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.990645628766642822455100767265998174079e-1154) }}, 
+      {{ SC_(1.180317916870117187500000000000000000000e2), SC_(2.534410546875000000000000000000000000000e4), SC_(1.018485468750000000000000000000000000000e5), SC_(1.000000000000000000000000000000000000000), BOOST_MATH_SMALL_CONSTANT(SC_(2.161179594078246743099231258168478258347e-5540)) }}, 
+      {{ SC_(1.630037689208984375000000000000000000000e2), SC_(1.814723730087280273437500000000000000000), SC_(8.240924682617187500000000000000000000000e2), SC_(1.000000000000000000000000000000000000000), SC_(2.472200591904090894287894991961986227014e-87) }}, 
+      {{ SC_(1.630037689208984375000000000000000000000e2), SC_(2.270954132080078125000000000000000000000), SC_(1.652747154235839843750000000000000000000e1), SC_(1.100485350257933009825823755964439914036e-51), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(1.630037689208984375000000000000000000000e2), SC_(7.623167991638183593750000000000000000000), SC_(4.265673446655273437500000000000000000000e1), SC_(1.676359039911057637896453411108497715675e-24), SC_(9.999999999999999999999983236409600889424e-1) }}, 
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+      {{ SC_(1.223881347656250000000000000000000000000e3), SC_(3.168707763671875000000000000000000000000e3), SC_(4.396981445312500000000000000000000000000e3), SC_(5.173084157509784624208344308997284751222e-1), SC_(4.826915842490215375791655691002715248778e-1) }}, 
+      {{ SC_(1.223881347656250000000000000000000000000e3), SC_(5.236728515625000000000000000000000000000e3), SC_(6.525215820312500000000000000000000000000e3), SC_(6.655162935852918021037691215720017086335e-1), SC_(3.344837064147081978962308784279982913665e-1) }}, 
+      {{ SC_(1.223881347656250000000000000000000000000e3), SC_(9.735224609375000000000000000000000000000e3), SC_(1.205501660156250000000000000000000000000e4), SC_(9.999999273769394533935277046862610448502e-1), SC_(7.262306054660647229531373895514980090320e-8) }}, 
+      {{ SC_(1.223881347656250000000000000000000000000e3), SC_(2.534410546875000000000000000000000000000e4), SC_(3.188158398437500000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(4.590595623431455827408688539888024283152e-56) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(1.814723730087280273437500000000000000000), SC_(4.251679199218750000000000000000000000000e3), SC_(9.999999999999999999999999999369304599680e-1), SC_(6.306954003202485935998390071737568071653e-29) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(2.270954132080078125000000000000000000000), SC_(4.906468261718750000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.561720607047429031089833790859982654141e-69) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(7.623167991638183593750000000000000000000), SC_(6.552661621093750000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(1.550476433800876678985013711621544946543e-220) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(1.468006896972656250000000000000000000000e1), SC_(9.850164062500000000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(7.380727559751609589377065368658683398863e-643) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(1.803178977966308593750000000000000000000e1), SC_(1.314695800781250000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.070075198669384428184696868094554956539e-1148) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(6.300376892089843750000000000000000000000e1), SC_(1.665855664062500000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(5.473130666182603983102939876795814753306e-1702) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(1.224560546875000000000000000000000000000e2), SC_(3.391163940429687500000000000000000000000e2), SC_(1.276741407233633232703835710222187763106e-998), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(1.562923583984375000000000000000000000000e2), SC_(8.562500000000000000000000000000000000000e2), SC_(1.115296743570225436467479346112053113493e-454), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(4.178839721679687500000000000000000000000e2), SC_(1.843295898437500000000000000000000000000e3), SC_(9.157150901962893068367802685242026910627e-141), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(6.697814941406250000000000000000000000000e2), SC_(2.953866943359375000000000000000000000000e3), SC_(1.407565789077463347175673837791022925398e-29), SC_(9.999999999999999999999999999859243421092e-1) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(1.123881347656250000000000000000000000000e3), SC_(3.953329833984375000000000000000000000000e3), SC_(7.940374169384573883003159947702418665259e-6), SC_(9.999920596258306154261169968400522975813e-1) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(3.168707763671875000000000000000000000000e3), SC_(6.373041503906250000000000000000000000000e3), SC_(3.229699874048570325644015283488133243419e-1), SC_(6.770300125951429674355984716511866756581e-1) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(5.236728515625000000000000000000000000000e3), SC_(8.496931640625000000000000000000000000000e3), SC_(4.817511189518640281763605885755537488723e-1), SC_(5.182488810481359718236394114244462511277e-1) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(9.735224609375000000000000000000000000000e3), SC_(1.300393261718750000000000000000000000000e4), SC_(5.017815537703105249703557002638167692452e-1), SC_(4.982184462296894750296442997361832307548e-1) }}, 
+      {{ SC_(3.268707763671875000000000000000000000000e3), SC_(2.534410546875000000000000000000000000000e4), SC_(2.861567382812500000000000000000000000000e4), SC_(5.046636709131849599417788658424494463632e-1), SC_(4.953363290868150400582211341575505536368e-1) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(1.814723730087280273437500000000000000000), SC_(5.343882324218750000000000000000000000000e3), SC_(5.231641912991815247310768938116631968187e-1), SC_(4.768358087008184752689231061883368031813e-1) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(2.270954132080078125000000000000000000000), SC_(5.392389648437500000000000000000000000000e3), SC_(6.989209785829823642527285557816442705306e-1), SC_(3.010790214170176357472714442183557294694e-1) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(7.623167991638183593750000000000000000000), SC_(5.878786621093750000000000000000000000000e3), SC_(9.999997267631334862144092371181640867755e-1), SC_(2.732368665137855907628818359132245077050e-7) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(1.468006896972656250000000000000000000000e1), SC_(6.421690917968750000000000000000000000000e3), SC_(9.999999999999999999998755436517077779140e-1), SC_(1.244563482922220859843457033640238937977e-22) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(1.803178977966308593750000000000000000000e1), SC_(6.961187988281250000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(6.213904209645332170491444002733911787382e-46) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(6.300376892089843750000000000000000000000e1), SC_(8.099598632812500000000000000000000000000e3), SC_(1.000000000000000000000000000000000000000), SC_(4.129578759179570039501223721133554053649e-112) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(1.224560546875000000000000000000000000000e2), SC_(1.091836914062500000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.013122398540403737571759044585873714869e-358) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(1.562923583984375000000000000000000000000e2), SC_(1.647906250000000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.798378318681131842856599937421909755127e-1049) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(4.178839721679687500000000000000000000000e2), SC_(2.301844921875000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.245637974066302551841972589921559293779e-1895) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(6.697814941406250000000000000000000000000e2), SC_(3.003254882812500000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.964762684623637286574646116911226588649e-2854) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(1.123881347656250000000000000000000000000e3), SC_(6.460609741210937500000000000000000000000e2), SC_(5.434554874828800376020528413555687226962e-1646), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(3.168707763671875000000000000000000000000e3), SC_(2.126359130859375000000000000000000000000e3), SC_(4.014044471242827936794218405164185178313e-811), SC_(1.000000000000000000000000000000000000000) }}, 
+      //{{ SC_(5.336728515625000000000000000000000000000e3), SC_(5.236728515625000000000000000000000000000e3), SC_(5.286728515625000000000000000000000000000e3), SC_(4.230486062225304643326517333533191913791e-285), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(9.735224609375000000000000000000000000000e3), SC_(1.130396484375000000000000000000000000000e4), SC_(4.137926192929096684247217099159206422184e-75), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(5.336728515625000000000000000000000000000e3), SC_(2.534410546875000000000000000000000000000e4), SC_(2.761275000000000000000000000000000000000e4), SC_(2.272437242751958256048797820399249083167e-21), SC_(9.999999999999999999977275627572480417440e-1) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(1.814723730087280273437500000000000000000), SC_(9.738668945312500000000000000000000000000e3), SC_(2.423226533318444691190816122183650790120e-1), SC_(7.576773466681555308809183877816349209880e-1) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(2.270954132080078125000000000000000000000), SC_(9.827658203125000000000000000000000000000e3), SC_(4.739300204447159138057411608874372469320e-1), SC_(5.260699795552840861942588391125627530680e-1) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(7.623167991638183593750000000000000000000), SC_(9.842847656250000000000000000000000000000e3), SC_(5.018959763803816158049482480448946260966e-1), SC_(4.981040236196183841950517519551053739034e-1) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(1.468006896972656250000000000000000000000e1), SC_(9.850889648437500000000000000000000000000e3), SC_(5.046936613055142674404951702442208480020e-1), SC_(4.953063386944857325595048297557791519980e-1) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(1.803178977966308593750000000000000000000e1), SC_(9.863110351562500000000000000000000000000e3), SC_(5.298370953450929796710290002338201784199e-1), SC_(4.701629046549070203289709997661798215801e-1) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(6.300376892089843750000000000000000000000e1), SC_(9.997210937500000000000000000000000000000e3), SC_(7.591896468371765812280509666823008804623e-1), SC_(2.408103531628234187719490333176991195377e-1) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(1.224560546875000000000000000000000000000e2), SC_(1.095344921875000000000000000000000000000e4), SC_(9.999999999946528610317823181276409224358e-1), SC_(5.347138968217681872359077564224414898729e-12) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(1.562923583984375000000000000000000000000e2), SC_(1.198982031250000000000000000000000000000e4), SC_(9.999999999999999999999999999999999999995e-1), SC_(4.844117509934818729605680780365877081835e-40) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(4.178839721679687500000000000000000000000e2), SC_(1.332904003906250000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(5.501985290758226024441004905328583091016e-83) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(6.697814941406250000000000000000000000000e2), SC_(1.575750878906250000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.281917879913831434997572136980170169938e-205) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(1.123881347656250000000000000000000000000e3), SC_(2.191821093750000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.655478781768704897040723830687178230050e-668) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(3.168707763671875000000000000000000000000e3), SC_(3.901179687500000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(3.472631147339733657827714586706936341515e-2118) }}, 
+      //{{ SC_(9.835224609375000000000000000000000000000e3), SC_(5.236728515625000000000000000000000000000e3), SC_(6.028781250000000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(9.212326594397207246241789680223342444637e-4200) }}, 
+      {{ SC_(9.835224609375000000000000000000000000000e3), SC_(9.735224609375000000000000000000000000000e3), SC_(9.785225000000000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), BOOST_MATH_SMALL_CONSTANT(SC_(3.538077281516414493897074365065585126946e-7667)) }}, 
+      //{{ SC_(9.835224609375000000000000000000000000000e3), SC_(2.534410546875000000000000000000000000000e4), SC_(3.517932861328125000000000000000000000000e3), SC_(1.099992559780263385542867064735840160345e-4822), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.814723730087280273437500000000000000000), SC_(6.361479980468750000000000000000000000000e3), SC_(1.181726713955470992474919794090175086526e-3518), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(2.270954132080078125000000000000000000000), SC_(1.272318847656250000000000000000000000000e4), SC_(4.884425625229736252928233330384214577613e-1070), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(7.623167991638183593750000000000000000000), SC_(1.908879687500000000000000000000000000000e4), SC_(8.962370551702060333750421105332120391485e-211), SC_(1.000000000000000000000000000000000000000) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.468006896972656250000000000000000000000e1), SC_(2.291290625000000000000000000000000000000e4), SC_(8.474346197209301705276834960187638277086e-32), SC_(9.999999999999999999999999999999152565380e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.803178977966308593750000000000000000000e1), SC_(2.520751562500000000000000000000000000000e4), SC_(1.295024406285843621340357720924586110287e-1), SC_(8.704975593714156378659642279075413889713e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(6.300376892089843750000000000000000000000e1), SC_(2.548160351562500000000000000000000000000e4), SC_(4.562568770648142018768727830933913267766e-1), SC_(5.437431229351857981231272169066086732234e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.224560546875000000000000000000000000000e2), SC_(2.556656250000000000000000000000000000000e4), SC_(5.011806692322517737217772574781293569349e-1), SC_(4.988193307677482262782227425218706430651e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.562923583984375000000000000000000000000e2), SC_(2.560295898437500000000000000000000000000e4), SC_(5.056803760816591586262668258627004583009e-1), SC_(4.943196239183408413737331741372995416991e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(4.178839721679687500000000000000000000000e2), SC_(2.588785351562500000000000000000000000000e4), SC_(5.460676224635753887770522516056576743617e-1), SC_(4.539323775364246112229477483943423256383e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(6.697814941406250000000000000000000000000e2), SC_(2.637502539062500000000000000000000000000e4), SC_(8.702351059685343076476037133703416750345e-1), SC_(1.297648940314656923523962866296583249655e-1) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(1.123881347656250000000000000000000000000e3), SC_(2.922478515625000000000000000000000000000e4), SC_(9.999999999999999999999999996167282036646e-1), SC_(3.832717963354218502430822356853389506342e-28) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(3.168707763671875000000000000000000000000e3), SC_(3.433537500000000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.698150074923070488658872407738404871525e-101) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(5.236728515625000000000000000000000000000e3), SC_(3.988508203125000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(1.092452334181002182656298507096893396391e-217) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(9.735224609375000000000000000000000000000e3), SC_(5.276899218750000000000000000000000000000e4), SC_(1.000000000000000000000000000000000000000), SC_(3.597661166334420937810823788802336702587e-576) }}, 
+      {{ SC_(2.544410546875000000000000000000000000000e4), SC_(2.534410546875000000000000000000000000000e4), SC_(1.015764218750000000000000000000000000000e5), SC_(1.000000000000000000000000000000000000000), SC_(2.563248488880158240698244894381770231093e-2382) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nct.ipp b/src/boost/libs/math/test/nct.ipp
new file mode 100644
index 000000000..fb663a7a5
--- /dev/null
+++ b/src/boost/libs/math/test/nct.ipp
@@ -0,0 +1,229 @@
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 209-7> nct = {{
+      {{ SC_(5.637862086296081542968750000000000000000e-1), SC_(-5.074075460433959960937500000000000000000e-1), SC_(-3.162277862429618835449218750000000000000e-2), SC_(6.862274577179818450132372470056769938949e-1), SC_(3.137725422820181549867627529943230061051e-1) }}, 
+      {{ SC_(9.567963480949401855468750000000000000000e-1), SC_(-9.472283720970153808593750000000000000000e-1), SC_(-7.905694097280502319335937500000000000000e-2), SC_(8.115615601997266002916301508229723403909e-1), SC_(1.884384398002733997083698491770276596091e-1) }}, 
+      {{ SC_(2.380512714385986328125000000000000000000), SC_(-2.378132343292236328125000000000000000000), SC_(-6.344355583190917968750000000000000000000), SC_(1.181983559218041139443788725932712768639e-1), SC_(8.818016440781958860556211274067287231361e-1) }}, 
+      {{ SC_(2.707923889160156250000000000000000000000), SC_(2.707923889160156250000000000000000000000), SC_(6.967820167541503906250000000000000000000), SC_(8.962869141158998144131448676176096050228e-1), SC_(1.037130858841001855868551323823903949772e-1) }}, 
+      {{ SC_(3.554877519607543945312500000000000000000), SC_(3.555233001708984375000000000000000000000), SC_(7.444825649261474609375000000000000000000), SC_(8.868528863556108953156241536058758129831e-1), SC_(1.131471136443891046843758463941241870169e-1) }}, 
+      {{ SC_(6.366665840148925781250000000000000000000), SC_(-6.373032569885253906250000000000000000000), SC_(-1.003813362121582031250000000000000000000e1), SC_(1.297164612941840729663335994423583046378e-1), SC_(8.702835387058159270336664005576416953622e-1) }}, 
+      {{ SC_(6.889312267303466796875000000000000000000), SC_(6.958205223083496093750000000000000000000), SC_(1.067599391937255859375000000000000000000e1), SC_(8.692923253313482797187029403902244593628e-1), SC_(1.307076746686517202812970596097755406372e-1) }}, 
+      {{ SC_(7.142432212829589843750000000000000000000), SC_(-7.856675624847412109375000000000000000000), SC_(-1.186992073059082031250000000000000000000e1), SC_(1.313759752665446453920643109581266741211e-1), SC_(8.686240247334553546079356890418733258789e-1) }}, 
+      {{ SC_(7.288346767425537109375000000000000000000), SC_(-8.746016502380371093750000000000000000000), SC_(-1.308834171295166015625000000000000000000e1), SC_(1.317487167403902234213465542239538177641e-1), SC_(8.682512832596097765786534457760461822359e-1) }}, 
+      {{ SC_(9.234373092651367187500000000000000000000), SC_(-1.200468444824218750000000000000000000000e1), SC_(-1.678483200073242187500000000000000000000e1), SC_(1.371773284108319849485042712205994589836e-1), SC_(8.628226715891680150514957287794005410164e-1) }}, 
+      {{ SC_(1.024338054656982421875000000000000000000e1), SC_(-1.536507034301757812500000000000000000000e1), SC_(-2.095777320861816406250000000000000000000e1), SC_(1.376443537392091127705735460070325295078e-1), SC_(8.623556462607908872294264539929674704922e-1) }}, 
+      {{ SC_(1.079011821746826171875000000000000000000e1), SC_(2.158023643493652343750000000000000000000e1), SC_(2.953773117065429687500000000000000000000e1), SC_(8.756990872254366689422087613232016840613e-1), SC_(1.243009127745633310577912386767983159387e-1) }}, 
+      {{ SC_(1.351916885375976562500000000000000000000e1), SC_(4.055750656127929687500000000000000000000e1), SC_(5.393296432495117187500000000000000000000e1), SC_(8.875082903101746924904055764230529369583e-1), SC_(1.124917096898253075095944235769470630417e-1) }}, 
+      {{ SC_(1.517095088958740234375000000000000000000e1), SC_(6.068380355834960937500000000000000000000e1), SC_(8.029798126220703125000000000000000000000e1), SC_(8.999784514511157146615339407607497230611e-1), SC_(1.000215485488842853384660592392502769389e-1) }}, 
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+      {{ SC_(1.670017242431640625000000000000000000000e2), SC_(5.010051879882812500000000000000000000000e2), SC_(5.365607299804687500000000000000000000000e2), SC_(8.824746044843330736469612185701136118524e-1), SC_(1.175253955156669263530387814298863881476e-1) }}, 
+      {{ SC_(1.681434631347656250000000000000000000000e2), SC_(6.725738525390625000000000000000000000000e2), SC_(7.238276367187500000000000000000000000000e2), SC_(8.992656987013872665209365356081730016699e-1), SC_(1.007343012986127334790634643918269983301e-1) }}, 
+      {{ SC_(1.696935729980468750000000000000000000000e2), SC_(-8.484678955078125000000000000000000000000e2), SC_(-9.221135864257812500000000000000000000000e2), SC_(7.282932970219271023945143904387565677350e-2), SC_(9.271706702978072897605485609561243432265e-1) }}, 
+      {{ SC_(1.698258819580078125000000000000000000000e2), SC_(1.698258781433105468750000000000000000000e1), SC_(1.980040931701660156250000000000000000000e1), SC_(9.719470387146119542829851768946449119598e-1), SC_(2.805296128538804571701482310535508804017e-2) }}, 
+      {{ SC_(1.744857788085937500000000000000000000000e2), SC_(-4.362144470214843750000000000000000000000e1), SC_(-5.150732040405273437500000000000000000000e1), SC_(3.322995169190575236751479836974775618462e-3), SC_(9.966770048308094247632485201630252243815e-1) }}, 
+      {{ SC_(1.753515014648437500000000000000000000000e2), SC_(-8.767575073242187500000000000000000000000e1), SC_(-1.074056930541992187500000000000000000000e2), SC_(2.662223893738321424320630318453652402469e-4), SC_(9.997337776106261678575679369681546347598e-1) }}, 
+      {{ SC_(1.756861419677734375000000000000000000000e2), SC_(-1.317646026611328125000000000000000000000e2), SC_(-1.682105255126953125000000000000000000000e2), SC_(1.550232998735350754650765720581070782100e-5), SC_(9.999844976700126464924534923427941892922e-1) }}, 
+      {{ SC_(1.781806640625000000000000000000000000000e2), SC_(-1.603625946044921875000000000000000000000e2), SC_(-1.619059753417968750000000000000000000000e2), SC_(4.427510840848753942205017300207371637469e-1), SC_(5.572489159151246057794982699792628362531e-1) }}, 
+      {{ SC_(1.811584014892578125000000000000000000000e2), SC_(-1.793468170166015625000000000000000000000e2), SC_(-1.824870758056640625000000000000000000000e2), SC_(3.851955828443047286965619499537351163898e-1), SC_(6.148044171556952713034380500462648836102e-1) }}, 
+      {{ SC_(1.814729614257812500000000000000000000000e2), SC_(1.812914886474609375000000000000000000000e2), SC_(1.868789825439453125000000000000000000000e2), SC_(7.035362100484691927399429102560977978734e-1), SC_(2.964637899515308072600570897439022021266e-1) }}, 
+      {{ SC_(1.826751861572265625000000000000000000000e2), SC_(1.826751861572265625000000000000000000000e2), SC_(1.907105255126953125000000000000000000000e2), SC_(7.799873196049647286222313130314984070929e-1), SC_(2.200126803950352713777686869685015929071e-1) }}, 
+      {{ SC_(1.831471099853515625000000000000000000000e2), SC_(1.831654205322265625000000000000000000000e2), SC_(1.926689605712890625000000000000000000000e2), SC_(8.192163967452918136616703813674191971081e-1), SC_(1.807836032547081863383296186325808028919e-1) }}, 
+      {{ SC_(1.834387359619140625000000000000000000000e2), SC_(1.836221771240234375000000000000000000000e2), SC_(1.940174407958984375000000000000000000000e2), SC_(8.403035276172555322739380106234387661243e-1), SC_(1.596964723827444677260619893765612338757e-1) }}, 
+      {{ SC_(1.841749572753906250000000000000000000000e2), SC_(1.860167083740234375000000000000000000000e2), SC_(1.966119689941406250000000000000000000000e2), SC_(8.423069271382795700398439101444273937711e-1), SC_(1.576930728617204299601560898555726062289e-1) }}, 
+      {{ SC_(1.858527374267578125000000000000000000000e2), SC_(-2.044380187988281250000000000000000000000e2), SC_(-2.160265808105468750000000000000000000000e2), SC_(1.574804038174927854751974225084637112666e-1), SC_(8.425195961825072145248025774915362887334e-1) }}, 
+      {{ SC_(1.867986450195312500000000000000000000000e2), SC_(2.241583862304687500000000000000000000000e2), SC_(2.368225402832031250000000000000000000000e2), SC_(8.425392206438456186820694371845737047599e-1), SC_(1.574607793561543813179305628154262952401e-1) }}, 
+      {{ SC_(1.868021392822265625000000000000000000000e2), SC_(-2.428427734375000000000000000000000000000e2), SC_(-2.565665283203125000000000000000000000000e2), SC_(1.572680326600672177070073925543010532140e-1), SC_(8.427319673399327822929926074456989467860e-1) }}, 
+      {{ SC_(1.880148162841796875000000000000000000000e2), SC_(-2.820222167968750000000000000000000000000e2), SC_(-2.980253295898437500000000000000000000000e2), SC_(1.552789395983287090937623733357006268049e-1), SC_(8.447210604016712909062376266642993731951e-1) }}, 
+      {{ SC_(1.900444183349609375000000000000000000000e2), SC_(-3.800888366699218750000000000000000000000e2), SC_(-4.032850341796875000000000000000000000000e2), SC_(1.363857890620788955477380353547122412928e-1), SC_(8.636142109379211044522619646452877587072e-1) }}, 
+      {{ SC_(1.910035247802734375000000000000000000000e2), SC_(5.730105590820312500000000000000000000000e2), SC_(6.108234252929687500000000000000000000000e2), SC_(8.825546776651612915449270809923133302827e-1), SC_(1.174453223348387084550729190076866697173e-1) }}, 
+      {{ SC_(1.914333953857421875000000000000000000000e2), SC_(7.657335815429687500000000000000000000000e2), SC_(8.201442260742187500000000000000000000000e2), SC_(8.994307655353378788627687172889911875494e-1), SC_(1.005692344646621211372312827110088124506e-1) }}, 
+      {{ SC_(1.915013732910156250000000000000000000000e2), SC_(-9.575068359375000000000000000000000000000e2), SC_(-1.035407836914062500000000000000000000000e3), SC_(7.254550295882910100884475499526303225815e-2), SC_(9.274544970411708989911552450047369677418e-1) }}, 
+      {{ SC_(1.918582763671875000000000000000000000000e2), SC_(1.918582725524902343750000000000000000000e1), SC_(2.208179092407226562500000000000000000000e1), SC_(9.721242618485546393356290361951045322104e-1), SC_(2.787573815144536066437096380489546778959e-2) }}, 
+      {{ SC_(1.918984985351562500000000000000000000000e2), SC_(-4.797462463378906250000000000000000000000e1), SC_(-5.617157363891601562500000000000000000000e1), SC_(3.221111566392305522573892879121826455479e-3), SC_(9.967788884336076944774261071208781735445e-1) }}, 
+      {{ SC_(1.919488067626953125000000000000000000000e2), SC_(-9.597440338134765625000000000000000000000e1), SC_(-1.165421524047851562500000000000000000000e2), SC_(2.481260732563524200219933878692461610213e-4), SC_(9.997518739267436475799780066121307538390e-1) }}, 
+      {{ SC_(1.929777069091796875000000000000000000000e2), SC_(-1.447332763671875000000000000000000000000e2), SC_(-1.828341522216796875000000000000000000000e2), SC_(1.358098637444654191572655104301270829943e-5), SC_(9.999864190136255534580842734489569872917e-1) }}, 
+      {{ SC_(1.929932708740234375000000000000000000000e2), SC_(-1.736939392089843750000000000000000000000e2), SC_(-1.752710113525390625000000000000000000000e2), SC_(4.434359641618019366789276090072593648763e-1), SC_(5.565640358381980633210723909927406351237e-1) }}, 
+      {{ SC_(1.935389862060546875000000000000000000000e2), SC_(1.916035919189453125000000000000000000000e2), SC_(1.948214416503906250000000000000000000000e2), SC_(6.142723104748303441684413193877427660393e-1), SC_(3.857276895251696558315586806122572339607e-1) }}, 
+      {{ SC_(1.937735595703125000000000000000000000000e2), SC_(1.935797882080078125000000000000000000000e2), SC_(1.993231201171875000000000000000000000000e2), SC_(7.031303801855181023960454440247304541731e-1), SC_(2.968696198144818976039545559752695458269e-1) }}, 
+      {{ SC_(1.941185607910156250000000000000000000000e2), SC_(1.941185607910156250000000000000000000000e2), SC_(2.023715820312500000000000000000000000000e2), SC_(7.797728872340829673174837038355921015185e-1), SC_(2.202271127659170326825162961644078984815e-1) }}, 
+      {{ SC_(1.962219390869140625000000000000000000000e2), SC_(-1.962415618896484375000000000000000000000e2), SC_(-2.060424804687500000000000000000000000000e2), SC_(1.809237828594511737114522040101156011652e-1), SC_(8.190762171405488262885477959898843988348e-1) }}, 
+      {{ SC_(1.974919281005859375000000000000000000000e2), SC_(-1.976894226074218750000000000000000000000e2), SC_(-2.084357757568359375000000000000000000000e2), SC_(1.597848828006174813168828984223774741925e-1), SC_(8.402151171993825186831171015776225258075e-1) }}, 
+      {{ SC_(1.977043151855468750000000000000000000000e2), SC_(1.996813507080078125000000000000000000000e2), SC_(2.106204223632812500000000000000000000000e2), SC_(8.422293832834955684228336504298493504347e-1), SC_(1.577706167165044315771663495701506495653e-1) }}, 
+      {{ SC_(1.985762634277343750000000000000000000000e2), SC_(-2.184338989257812500000000000000000000000e2), SC_(-2.303740386962890625000000000000000000000e2), SC_(1.575531385245673058508978138666145574355e-1), SC_(8.424468614754326941491021861333854425645e-1) }}, 
+      {{ SC_(1.988137054443359375000000000000000000000e2), SC_(2.385764617919921875000000000000000000000e2), SC_(2.516024322509765625000000000000000000000e2), SC_(8.424688825000982079679215138264048043475e-1), SC_(1.575311174999017920320784861735951956525e-1) }}, 
+      {{ SC_(1.992922668457031250000000000000000000000e2), SC_(-2.590799255371093750000000000000000000000e2), SC_(-2.732116088867187500000000000000000000000e2), SC_(1.573382255153084153679636715700757369509e-1), SC_(8.426617744846915846320363284299242630491e-1) }}, 
+      {{ SC_(2.322846374511718750000000000000000000000e2), SC_(3.484269409179687500000000000000000000000e2), SC_(3.660482482910156250000000000000000000000e2), SC_(8.445224219835303698101085035756072755625e-1), SC_(1.554775780164696301898914964243927244375e-1) }}, 
+      {{ SC_(2.906821289062500000000000000000000000000e2), SC_(5.813642578125000000000000000000000000000e2), SC_(6.095877075195312500000000000000000000000e2), SC_(8.635682877769042305180745412047783757853e-1), SC_(1.364317122230957694819254587952216242147e-1) }}, 
+      /*
+      //
+      // These last few values are commented out, the complexity of the implementation
+      // depends upon the square of the non-centrality parameter, so these both take
+      // a long time to evaluate and are rather hard to evaluate accurately also.
+      //
+      {{ SC_(9.757655029296875000000000000000000000000e2), SC_(-2.927296386718750000000000000000000000000e3), SC_(-3.009226074218750000000000000000000000000e3), SC_(1.164317566424995639445047413284130115370e-1), SC_(8.835682433575004360554952586715869884630e-1) }}, 
+      {{ SC_(1.879048828125000000000000000000000000000e3), SC_(7.516195312500000000000000000000000000000e3), SC_(7.678772949218750000000000000000000000000e3), SC_(9.017566036730798342611358387622429767684e-1), SC_(9.824339632692016573886416123775702323164e-2) }}, 
+      {{ SC_(2.308069091796875000000000000000000000000e3), SC_(-1.154034570312500000000000000000000000000e4), SC_(-1.179905078125000000000000000000000000000e4), SC_(6.872608129209766834994044970484572985093e-2), SC_(9.312739187079023316500595502951542701491e-1) }}, 
+      {{ SC_(8.064482421875000000000000000000000000000e3), SC_(-8.064482421875000000000000000000000000000e2), SC_(-8.193711547851562500000000000000000000000e2), SC_(2.389575887949156628152767472787355181112e-2), SC_(9.761042411205084337184723252721264481889e-1) }}, 
+      {{ SC_(1.567437500000000000000000000000000000000e4), SC_(-3.918593750000000000000000000000000000000e3), SC_(-3.985162353515625000000000000000000000000e3), SC_(1.542392032294953892149510464673239432939e-3), SC_(9.984576079677050461078504895353267605671e-1) }}, 
+      {{ SC_(2.000542187500000000000000000000000000000e4), SC_(-1.000271093750000000000000000000000000000e4), SC_(-1.020245312500000000000000000000000000000e4), SC_(4.337531004895530778641649516506912837255e-5), SC_(9.999566246899510446922135835048349308716e-1) }}, 
+      {{ SC_(5.348914843750000000000000000000000000000e4), SC_(-4.011685937500000000000000000000000000000e4), SC_(-4.073089843750000000000000000000000000000e4), SC_(3.883382003866549840825255916580316551597e-7), SC_(9.999996116617996133450159174744083419683e-1) }}
+      */
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/nct_asym.ipp b/src/boost/libs/math/test/nct_asym.ipp
new file mode 100644
index 000000000..6d6bdf1e7
--- /dev/null
+++ b/src/boost/libs/math/test/nct_asym.ipp
@@ -0,0 +1,40 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 26> nct_asym = {{
+      {{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(-0.481173217296600341796875), SC_(0.1749317497754352460810908541491372795891542325487), SC_(0.8250682502245647539189091458508627204108457674513) }}, 
+      {{ SC_(4536808851374080.0), SC_(0.45368087291717529296875), SC_(1.3978519439697265625), SC_(0.82745888213761221622777144575509830758765026825781), SC_(0.17254111786238778377222855424490169241234973174219) }}, 
+      {{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(-0.5258305072784423828125), SC_(0.13707201688604064907083148328658590547016675560101), SC_(0.86292798311395935092916851671341409452983324439899) }}, 
+      {{ SC_(5677385198338048.0), SC_(0.56773853302001953125), SC_(0.708383023738861083984375), SC_(0.55592460048261968604418681822217801676118984510485), SC_(0.44407539951738031395581318177782198323881015489515) }}, 
+      {{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.123167514801025390625), SC_(0.88826935840310006680843037482396692978657176631796), SC_(0.11173064159689993319156962517603307021342823368204) }}, 
+      {{ SC_(19057916648620032.0), SC_(1.905791759490966796875), SC_(3.3844356536865234375), SC_(0.93038224262142835995452986318222481740507172432515), SC_(0.069617757378571640045470136817775182594928275674854) }}, 
+      {{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(4.6750431060791015625), SC_(0.84255780194329132905115240305424746317298104246855), SC_(0.15744219805670867094884759694575253682701895753145) }}, 
+      {{ SC_(36700173421772800.0), SC_(3.670017242431640625), SC_(5.042537689208984375), SC_(0.91504926091817108755289153804799207257503305462555), SC_(0.084950739081828912447108461952007927424966945374453) }}, 
+      {{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(3.3889064788818359375), SC_(0.13156163646802619543156433884136170088487556815931), SC_(0.86843836353197380456843566115863829911512443184069) }}, 
+      {{ SC_(45079461342740480.0), SC_(4.507946014404296875), SC_(5.9973297119140625), SC_(0.93180682050435927369046460493686411555287073533266), SC_(0.068193179495640726309535395063135884447129264667335) }}, 
+      {{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.14560699462890625), SC_(0.91844152246389020936377208106238904518645300898785), SC_(0.081558477536109790636227918937610954813546991012154) }}, 
+      {{ SC_(157509421545553920.0), SC_(15.750942230224609375), SC_(17.1575450897216796875), SC_(0.92022740765138483503818882082673489052943410104556), SC_(0.079772592348615164961811179173265109470565898954439) }}, 
+      {{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(31.8541412353515625), SC_(0.89253589230213680868361632253582462638850083853234), SC_(0.10746410769786319131638367746417537361149916146766) }}, 
+      {{ SC_(306140114898124800.0), SC_(30.614013671875), SC_(32.01709747314453125), SC_(0.91970407450026572598532504589599032507374844769296), SC_(0.080295925499734274014674954104009674926251552307043) }}, 
+      {{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.045928955078125), SC_(0.15217241315852103004776349323469720103276253578469), SC_(0.84782758684147896995223650676530279896723746421531) }}, 
+      {{ SC_(390730904542117888.0), SC_(39.073089599609375), SC_(38.2361907958984375), SC_(0.20132472643110592660423913551748708698902279471476), SC_(0.79867527356889407339576086448251291301097720528524) }}, 
+      {{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(104.8680572509765625), SC_(0.65434556985043816570960826185482905142969403857975), SC_(0.34565443014956183429039173814517094857030596142025) }}, 
+      {{ SC_(1044709769224388608.0), SC_(104.470977783203125), SC_(105.14849090576171875), SC_(0.75095977650749132960934905238656630719173158415557), SC_(0.24904022349250867039065094761343369280826841584443) }}, 
+      {{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(166.869873046875), SC_(0.28247643026063070467278298745564297946418695359089), SC_(0.71752356973936929532721701254435702053581304640911) }}, 
+      {{ SC_(1674453679643557888.0), SC_(167.44537353515625), SC_(168.857147216796875), SC_(0.92099169494016061238522995952802645037178736022794), SC_(0.079008305059839387614770040471973549628212639772055) }}, 
+      {{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(279.762969970703125), SC_(0.11364543011784098836896955307019184576823123795544), SC_(0.88635456988215901163103044692980815423176876204456) }}, 
+      {{ SC_(2809703283612975104.0), SC_(280.9703369140625), SC_(282.413665771484375), SC_(0.92553607281289461499104965729721028764390548597727), SC_(0.074463927187105385008950342702789712356094514022729) }}, 
+      {{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(792.31842041015625), SC_(0.5563267401667033086322021527186481547238720682263), SC_(0.4436732598332966913677978472813518452761279317737) }}, 
+      {{ SC_(7921767423114477568.0), SC_(792.1767578125), SC_(793.54827880859375), SC_(0.91489369852628004292795662749916567238372650186026), SC_(0.085106301473719957072043372500834327616273498139738) }}, 
+      {{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.01171875), SC_(0.12091797523015676375913420093212297337117969426545), SC_(0.87908202476984323624086579906787702662882030573455) }}, 
+      {{ SC_(13091821180254420992.0), SC_(1309.18212890625), SC_(1308.517578125), SC_(0.25316892936238242974380182772830364755920164172871), SC_(0.74683107063761757025619817227169635244079835827129) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/nct_small_delta.ipp b/src/boost/libs/math/test/nct_small_delta.ipp
new file mode 100644
index 000000000..5426f9bec
--- /dev/null
+++ b/src/boost/libs/math/test/nct_small_delta.ipp
@@ -0,0 +1,92 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 5>, 78> nct_small_delta = {{
+      {{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(-0.043873153626918792724609375), SC_(0.48250276576722336046483816401534117826515884583867), SC_(0.51749723423277663953516183598465882173484115416133) }}, 
+      {{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(0.729398787021636962890625), SC_(0.76712095847007040756161950500140014007502095546645), SC_(0.23287904152992959243838049499859985992497904453355) }}, 
+      {{ SC_(528154.0625), SC_(0.5281540482737767661092220805585384368896484375e-10), SC_(0.944172799587249755859375), SC_(0.82745910775138122060234718854881274437593644597231), SC_(0.17254089224861877939765281145118725562406355402769) }}, 
+      {{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(-1.09357059001922607421875), SC_(0.13707187615241828790447496643413251920933193961981), SC_(0.86292812384758171209552503356586748079066806038019) }}, 
+      {{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(-0.075724057853221893310546875), SC_(0.46981932920499526656408951192932529155640100686028), SC_(0.53018067079500473343591048807067470844359899313972) }}, 
+      {{ SC_(660934.625), SC_(0.6609346403507743161753751337528228759765625e-10), SC_(0.894318759441375732421875), SC_(0.8144241543253204424707276799726958127232605442998), SC_(0.1855758456746795575292723200273041872767394557002) }}, 
+      {{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(-0.32331907749176025390625), SC_(0.37322681889304995092918136348422956501557638199648), SC_(0.62677318110695004907081863651577043498442361800352) }}, 
+      {{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(0.900841772556304931640625), SC_(0.81616372411403034488699018804029514822710817134975), SC_(0.18383627588596965511300981195970485177289182865025) }}, 
+      {{ SC_(2218633.5), SC_(0.221863361016261251279502175748348236083984375e-9), SC_(1.21737635135650634765625), SC_(0.88826940695840047354018486823128837280979546898275), SC_(0.11173059304159952645981513176871162719020453101725) }}, 
+      {{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(-0.608911812305450439453125), SC_(0.27129146314707937854382467984874644387201484012076), SC_(0.72870853685292062145617532015125355612798515987924) }}, 
+      {{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(-0.233737051486968994140625), SC_(0.40759456615456790965120565572754800087372105257581), SC_(0.59240543384543209034879434427245199912627894742419) }}, 
+      {{ SC_(4272462.5), SC_(0.427246238388079291325993835926055908203125e-9), SC_(1.0050258636474609375), SC_(0.84255777338099392090018173116713612691826495532429), SC_(0.15744222661900607909981826883286387308173504467571) }}, 
+      {{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(-1.11903965473175048828125), SC_(0.13156163653841524718807085637540033587741857268684), SC_(0.86843836346158475281192914362459966412258142731316) }}, 
+      {{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(-1.0743410587310791015625), SC_(0.14133494913380490957172969254766861098247075035799), SC_(0.85866505086619509042827030745233138901752924964201) }}, 
+      {{ SC_(5247940.0), SC_(0.524793986045324345468543469905853271484375e-9), SC_(0.466433703899383544921875), SC_(0.67954744448251303029682738870296370754546775710788), SC_(0.32045255551748696970317261129703629245453224289212) }}, 
+      {{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(-1.485649585723876953125), SC_(0.068685924351077450776106805057666756267354379116941), SC_(0.93131407564892254922389319494233324373264562088306) }}, 
+      {{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(-0.978404521942138671875), SC_(0.1639371522987393851111295873413950142583525211773), SC_(0.8360628477012606148888704126586049857416474788227) }}, 
+      {{ SC_(18336510.0), SC_(0.1833651008809056293102912604808807373046875e-8), SC_(1.406603336334228515625), SC_(0.92022746964275550779312032818254511021364287700111), SC_(0.079772530357244492206879671817454889786357122998891) }}, 
+      {{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(-0.9864399433135986328125), SC_(0.16195863866320448164806483040777245446296140149356), SC_(0.83804136133679551835193516959222754553703859850644) }}, 
+      {{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(-0.2347161769866943359375), SC_(0.40721451480880048322798573509892024502193304263547), SC_(0.59278548519119951677201426490107975497806695736453) }}, 
+      {{ SC_(35639400.0), SC_(0.3563940254025510512292385101318359375e-8), SC_(1.2401275634765625), SC_(0.89253588756079690951410755269677773042628883005293), SC_(0.10746411243920309048589244730322226957371116994707) }}, 
+      {{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-1.1626064777374267578125), SC_(0.12249460282273418971343108523190852402322477087166), SC_(0.87750539717726581028656891476809147597677522912834) }}, 
+      {{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-0.83689785003662109375), SC_(0.20132499540381076102236383246070664744644381565087), SC_(0.79867500459618923897763616753929335255355618434913) }}, 
+      {{ SC_(45487064.0), SC_(0.4548706300511184963397681713104248046875e-8), SC_(-0.594260692596435546875), SC_(0.27616888228432564767719590034089174423793663334908), SC_(0.72383111771567435232280409965910825576206336665092) }}, 
+      {{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(0.3970777988433837890625), SC_(0.65434494968481063069505183722213499438179132868887), SC_(0.34565505031518936930494816277786500561820867131113) }}, 
+      {{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(0.61813831329345703125), SC_(0.73175791107603006961198160308845586981919324758164), SC_(0.26824208892396993038801839691154413018080675241836) }}, 
+      {{ SC_(121620224.0), SC_(0.12162022500206148833967745304107666015625e-7), SC_(1.24720668792724609375), SC_(0.8938391359252750533876681559850381133400744586929), SC_(0.1061608640747249466123318440149618866599255413071) }}, 
+      {{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(-0.575498878955841064453125), SC_(0.28247696804790908448299598525508816339233446215666), SC_(0.71752303195209091551700401474491183660766553784334) }}, 
+      {{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(0.4192900955677032470703125), SC_(0.66249792556950493924206051736760665840039674490309), SC_(0.33750207443049506075793948263239334159960325509691) }}, 
+      {{ SC_(194932064.0), SC_(0.1949320704852652852423489093780517578125e-7), SC_(0.891839683055877685546875), SC_(0.81376056011022270595841292021652342060820308429614), SC_(0.18623943988977729404158707978347657939179691570386) }}, 
+      {{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(-1.404501438140869140625), SC_(0.080084787472122488844415495242012312453561424134301), SC_(0.9199152125278775111555845047579876875464385758657) }}, 
+      {{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(-1.20737874507904052734375), SC_(0.11364315277765295082194817827847616199631048415041), SC_(0.88635684722234704917805182172152383800368951584959) }}, 
+      {{ SC_(327092512.0), SC_(0.327092521956728887744247913360595703125e-7), SC_(0.8766219615936279296875), SC_(0.80965398752936883769527309841930163032620924932467), SC_(0.19034601247063116230472690158069836967379075067533) }}, 
+      {{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(-0.550348579883575439453125), SC_(0.29104012336625227702044178467603355057145302194928), SC_(0.70895987663374772297955821532396644942854697805072) }}, 
+      {{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(0.1416618525981903076171875), SC_(0.55632640945989957068387202865702682448619885466383), SC_(0.44367359054010042931612797134297317551380114533617) }}, 
+      {{ SC_(922215104.0), SC_(0.922215122045599855482578277587890625e-7), SC_(1.13529217243194580078125), SC_(0.87187352013277999854694556458228781398877720084173), SC_(0.12812647986722000145305443541771218601122279915827) }}, 
+      {{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(-0.669230878353118896484375), SC_(0.25167405732584667576513293514194252242977450905894), SC_(0.74832594267415332423486706485805747757022549094106) }}, 
+      {{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(-0.66450512409210205078125), SC_(0.25318348652085408643723791160561950141473919546181), SC_(0.74681651347914591356276208839438049858526080453819) }}, 
+      {{ SC_(1524088576.0), SC_(0.15240885886669275350868701934814453125e-6), SC_(1.37847745418548583984375), SC_(0.9159720143264452800722709073773563686088927059612), SC_(0.084027985673554719927729092622643631391107294038796) }}, 
+      {{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(-0.9348537921905517578125), SC_(0.17493175360129918436210468793967574035560766123375), SC_(0.82506824639870081563789531206032425964439233876625) }}, 
+      {{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(0.01098839938640594482421875), SC_(0.50438353586498884681723519205661827951453610911603), SC_(0.49561646413501115318276480794338172048546389088397) }}, 
+      {{ SC_(2833322752.0), SC_(0.2833322696460527367889881134033203125e-6), SC_(1.11728668212890625), SC_(0.86806405541813070462577859975991426774401640081913), SC_(0.13193594458186929537422140024008573225598359918087) }}, 
+      {{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(-1.36148512363433837890625), SC_(0.086680099352107115152692238918143641020516123095345), SC_(0.91331990064789288484730776108185635897948387690466) }}, 
+      {{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(0.1406452357769012451171875), SC_(0.55592460342263048867879490949555684169178196778873), SC_(0.44407539657736951132120509050444315830821803221127) }}, 
+      {{ SC_(7376104448.0), SC_(0.737610434953239746391773223876953125e-6), SC_(0.4672227799892425537109375), SC_(0.6798294875609898291245772837764000326600691290926), SC_(0.3201705124390101708754227162235999673399308709074) }}, 
+      {{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(-1.0526561737060546875), SC_(0.14624886521046919412989626895906939222407293206212), SC_(0.85375113478953080587010373104093060777592706793788) }}, 
+      {{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(0.893787801265716552734375), SC_(0.81428177283808104910080873651678647035668255855401), SC_(0.18571822716191895089919126348321352964331744144599) }}, 
+      {{ SC_(19005597696.0), SC_(0.190055970961111597716808319091796875e-5), SC_(1.478645801544189453125), SC_(0.9303822435208431945428692571159084817569960338472), SC_(0.069617756479156805457130742884091518243003966152798) }}, 
+      {{ SC_(37336477696.0), SC_(0.37336476452765055000782012939453125e-5), SC_(-1.39286124706268310546875), SC_(0.081830311952030386950958528699491776784138181119043), SC_(0.91816968804796961304904147130050822321586181888096) }}, 
+      {{ SC_(37336477696.0), SC_(0.37336476452765055000782012939453125e-5), SC_(-1.2086009979248046875), SC_(0.11340736887699187293262662688976277518450464408822), SC_(0.88659263112300812706737337311023722481549535591178) }}, 
+      {{ SC_(37336477696.0), SC_(0.37336476452765055000782012939453125e-5), SC_(1.37252414226531982421875), SC_(0.91504925497864847245117739324928896561477482544626), SC_(0.084950745021351527548822606750711034385225174553738) }}, 
+      {{ SC_(76158959616.0), SC_(0.7615895810886286199092864990234375e-5), SC_(-0.4161103665828704833984375), SC_(0.33866183595792209794153109645293698407273819046339), SC_(0.66133816404207790205846890354706301592726180953661) }}, 
+      {{ SC_(76158959616.0), SC_(0.7615895810886286199092864990234375e-5), SC_(1.48221313953399658203125), SC_(0.93085719135108164633155760685918105899871704889272), SC_(0.069142808648918353668442393140818941001282951107282) }}, 
+      {{ SC_(76158959616.0), SC_(0.7615895810886286199092864990234375e-5), SC_(1.4893915653228759765625), SC_(0.93180685365187513633521575127608504580804034566387), SC_(0.068193146348124863664784248723914954191959654336133) }}, 
+      {{ SC_(149909094400.0), SC_(0.149909101310186088085174560546875e-4), SC_(0.97038853168487548828125), SC_(0.83406983375988250630225384732975974640680046980811), SC_(0.16593016624011749369774615267024025359319953019189) }}, 
+      {{ SC_(149909094400.0), SC_(0.149909101310186088085174560546875e-4), SC_(1.04740297794342041015625), SC_(0.85253966501367083089932755397065936180784831841043), SC_(0.14746033498632916910067244602934063819215168158957) }}, 
+      {{ SC_(149909094400.0), SC_(0.149909101310186088085174560546875e-4), SC_(1.394680500030517578125), SC_(0.91844163480163429797669181827603427319262632792639), SC_(0.08155836519836570202330818172396572680737367207361) }}, 
+      {{ SC_(300246401024.0), SC_(0.300246392725966870784759521484375e-4), SC_(-0.864196956157684326171875), SC_(0.19373160667651853950263712162705732018958798823552), SC_(0.80626839332348146049736287837294267981041201176448) }}, 
+      {{ SC_(300246401024.0), SC_(0.300246392725966870784759521484375e-4), SC_(0.965739905834197998046875), SC_(0.83290531317191357846564987870102532533516215684712), SC_(0.16709468682808642153435012129897467466483784315288) }}, 
+      {{ SC_(300246401024.0), SC_(0.300246392725966870784759521484375e-4), SC_(1.403114795684814453125), SC_(0.91970421907553442085361472793817522857066471337247), SC_(0.080295780924465579146385272061824771429335286627532) }}, 
+      {{ SC_(353275379712.0), SC_(0.3532753908075392246246337890625e-4), SC_(-1.02712547779083251953125), SC_(0.15217237530683021166365655887378113611916101492035), SC_(0.84782762469316978833634344112621886388083898507965) }}, 
+      {{ SC_(353275379712.0), SC_(0.3532753908075392246246337890625e-4), SC_(0.584521234035491943359375), SC_(0.72055327773828199091011436164660463547526546920033), SC_(0.27944672226171800908988563835339536452473453079967) }}, 
+      {{ SC_(353275379712.0), SC_(0.3532753908075392246246337890625e-4), SC_(1.30201494693756103515625), SC_(0.90353832363228799912881142113287687617562615688939), SC_(0.096461676367712000871188578867123123824373843110611) }}, 
+      {{ SC_(0.105336832e13), SC_(0.0001053368323482573032379150390625), SC_(-1.12434637546539306640625), SC_(0.13041072232576106505759370992705369062839357686989), SC_(0.86958927767423893494240629007294630937160642313011) }}, 
+      {{ SC_(0.105336832e13), SC_(0.0001053368323482573032379150390625), SC_(0.544183909893035888671875), SC_(0.70680629772915567856214841102838580323130470572332), SC_(0.29319370227084432143785158897161419676869529427668) }}, 
+      {{ SC_(0.105336832e13), SC_(0.0001053368323482573032379150390625), SC_(0.67762219905853271484375), SC_(0.75096096245833210774398163041302339076159056835009), SC_(0.24903903754166789225601836958697660923840943164991) }}, 
+      {{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(-0.54846096038818359375), SC_(0.29160515445821290109615211658532752777534929659883), SC_(0.70839484554178709890384788341467247222465070340117) }}, 
+      {{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(0.53644597530364990234375), SC_(0.70409170751851223796496285006888224216192038796279), SC_(0.29590829248148776203503714993111775783807961203721) }}, 
+      {{ SC_(2405508317184.0), SC_(0.0002405508421361446380615234375), SC_(1.4120190143585205078125), SC_(0.92099239916220010887823964338845316029716642789693), SC_(0.079007600837799891121760356611546839702833572103074) }}, 
+      {{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(-0.30330073833465576171875), SC_(0.38064607328786833329129434720920126565403722909458), SC_(0.61935392671213166670870565279079873434596277090542) }}, 
+      {{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(0.79173374176025390625), SC_(0.78560096142991773065052672400091405076291446132892), SC_(0.21439903857008226934947327599908594923708553867108) }}, 
+      {{ SC_(4836693114880.0), SC_(0.000483669340610504150390625), SC_(1.44381272792816162109375), SC_(0.92553610113350895085593676928879838003706656547384), SC_(0.074463898866491049144063230711201619962933434526164) }}, 
+      {{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(0.774176061153411865234375), SC_(0.78030402643947053525294588392940945045026100828356), SC_(0.21969597356052946474705411607059054954973899171644) }}, 
+      {{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(1.35162198543548583984375), SC_(0.91159882995045713756961834701249644548104352714108), SC_(0.088401170049542862430381652987503554518956472858921) }}, 
+      {{ SC_(9556477345792.0), SC_(0.000955647788941860198974609375), SC_(1.37245666980743408203125), SC_(0.91489058742913963764590136168317114106740895702093), SC_(0.085109412570860362354098638316828858932591042979068) }}, 
+      {{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(-1.1693308353424072265625), SC_(0.12091706455667160284074085853324054976433257083915), SC_(0.87908293544332839715925914146675945023566742916085) }}, 
+      {{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(-0.02714899368584156036376953125), SC_(0.48873822149228296214357093419224183546582949284801), SC_(0.51126177850771703785642906580775816453417050715199) }}, 
+      {{ SC_(10838489432064.0), SC_(0.00108384899795055389404296875), SC_(0.723025619983673095703125), SC_(0.76483486081732755088858031522414884241973724382194), SC_(0.23516513918267244911141968477585115758026275617806) }}
+   }};
+//#undef SC_
+
+
diff --git a/src/boost/libs/math/test/negative_binomial_quantile.ipp b/src/boost/libs/math/test/negative_binomial_quantile.ipp
new file mode 100644
index 000000000..c6c40d135
--- /dev/null
+++ b/src/boost/libs/math/test/negative_binomial_quantile.ipp
@@ -0,0 +1,802 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 5>, 792> negative_binomial_quantile_data = {{
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.097540400922298431396484375), SC_(11.568381290037563253305975817351444024377036234904), SC_(49.67581419477884086070549390307050513757197652133) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(12.977136041273636067294825573363051160267257422387), SC_(46.43808301937089644496373095130068129633820080023) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(13.355446548799362499196093574014767375702882517351), SC_(45.626103029359612367556766004407934151298781150048) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.188381969928741455078125), SC_(15.52940284708738793480132106889874510563268887437), SC_(41.360131052208165673316312211602173007116266843573) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.22103404998779296875), SC_(16.764430009390827897971671993143269955166674809408), SC_(39.199062325902508267047473072514261193252696080063) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.278498232364654541015625), SC_(18.827330684864743271502385688632742201801058689866), SC_(35.937947666898633946380128330076651597919337173838) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.308167040348052978515625), SC_(19.859834305054294539273728119716020535354199181236), SC_(34.447725391983382465551236140743414030393753548228) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.546881496906280517578125), SC_(28.286804773212901440345106101213208895684167630136), SC_(24.86330569705991784268291712045956516535854891059) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.54722058773040771484375), SC_(28.299740373205303221140202770183676832612364871957), SC_(24.851358289573499476668996699249466707769441766967) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.6323592662811279296875), SC_(31.73736778560021399190439490465225517649411428882), SC_(21.903093030340690478633356609280583765345155546618) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(41.581048291789996379031836662067110664529508417554), SC_(15.408543519764343109524257516360446517499916058047) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(43.10384701106176229875584955487632776474324453572), SC_(14.601011028162507643960564673392801813634068117566) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(50.094535137629288573734520653142480510400961256303), SC_(11.397121631223656712589512277532338441195467483516) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.9133758544921875), SC_(51.098599887179268255648450676362082449552339318083), SC_(10.996003692440138313901526209414132521171300944181) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(62.716516078499341651738309899935421006173913497388), SC_(7.1855867886566362977974128843005441031906018669252) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.12698681652545928955078125), SC_(0.992881298065185546875), SC_(78.135892109397114634653055502437231742885628698282), SC_(3.8338142963160007269966960400281352929892103698611) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.097540400922298431396484375), SC_(10.624056775155116321252971830163132523696456706443), SC_(46.168116272573933025564829848047689892749815610812) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(11.937594680205310062450054769420385143853396936078), SC_(43.147864152428529071931027785565229425525762378092) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(12.290355004920375860856813963510658282713119461282), SC_(42.39042769495045299438101593160196987419972593678) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.188381969928741455078125), SC_(14.317612777721405445071965596006895653029592961372), SC_(38.411036900535023554001380453088305992611092832638) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.22103404998779296875), SC_(15.469376627895497352658331319256284808359682715295), SC_(36.395161073493776973362594888209284880517853786539) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.278498232364654541015625), SC_(17.393291825275618145260282795413109030294855088256), SC_(33.353171765069675931417999475586842722093226138689) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.308167040348052978515625), SC_(18.356266419524471801981332379322445883128639508671), SC_(31.963094506992116634224442588913436038463193120154) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.546881496906280517578125), SC_(26.216303876726192697224223153981767281844891492988), SC_(23.023033560254770287526386240846949403245291727374) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.54722058773040771484375), SC_(26.228369734253914995541211877634676470672322247943), SC_(23.011889788038572395363617637127196883456914071844) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.6323592662811279296875), SC_(29.434900070748812569225007134187585348456304499303), SC_(20.261985460034048292288157734398458612682708046451) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(38.617112313927460960335145788267069989607179492264), SC_(14.204904197096488126288100410890126358086514033082) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(40.03760824455834863265835710080111292324719085546), SC_(13.451845203426820871126354466598672068957015235961) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(46.558712784341762721625765865482997761343544432876), SC_(10.464381400829619482306015575858157249227101387963) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.9133758544921875), SC_(47.495338004142394072176759174814040313522643424318), SC_(10.090404457802057197979908185083000391010167615374) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(58.332998984396769920995370446832741766431808482186), SC_(6.5387027857285630793165709885860007348429617492412) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.135477006435394287109375), SC_(0.992881298065185546875), SC_(72.716963016212538373008925002498861848899452883834), SC_(3.4174834799389700863014049302100106995335881681039) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.097540400922298431396484375), SC_(0.0), SC_(1.9547937327529084415676231401628831702037954903797) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(0.0), SC_(1.7041307252991781679323580074723287867760045629066) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(0.0), SC_(1.6414748306133560405163701394428396689931747262996) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.188381969928741455078125), SC_(0.0), SC_(1.3139080330820788064640015554307117317368340089595) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.22103404998779296875), SC_(0.0), SC_(1.1491765685114908753868077895933142837396779546823) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.278498232364654541015625), SC_(0.0), SC_(0.90250331040229883092083238887191323216954389922384) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.308167040348052978515625), SC_(0.0), SC_(0.7906844894303203180025716400800690704614692491791) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.546881496906280517578125), SC_(0.33643388821772044881959233531270322037166163378379), SC_(0.091735147880207113465851696897079149688903180912513) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.54722058773040771484375), SC_(0.33737090254970571341079223904551029855198330085961), SC_(0.090894013814592825141609737324743482898065780375321) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.6323592662811279296875), SC_(0.58906674919926080634908632250576153655308004321212), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.814723670482635498046875), SC_(1.3307976988480120615170178638694046084041148521352), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.835008561611175537109375), SC_(1.4474500545636407255740334422888311027669007185156), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.905791938304901123046875), SC_(1.9872992766331381166501172691754587322828261682177), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.9133758544921875), SC_(2.065320939161447140828199304809122043263160847658), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.968867778778076171875), SC_(2.9743403170222913933682227515125172778887531678721), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.814723670482635498046875), SC_(0.992881298065185546875), SC_(4.1924853509850394345146624609859359712492767694915), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.097540400922298431396484375), SC_(0.0), SC_(1.7079178409071888382112767233295154757328901156822) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.12698681652545928955078125), SC_(0.0), SC_(1.4745889735036016667743163677457677924180837435699) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.135477006435394287109375), SC_(0.0), SC_(1.4162904010362940285411984061135242974131006375663) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.188381969928741455078125), SC_(0.0), SC_(1.1116936334489622563000374230836892527422615722757) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.22103404998779296875), SC_(0.0), SC_(0.95865529557865837834583190604806537898854785956616) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.278498232364654541015625), SC_(0.0), SC_(0.72971443232583767907740484450701844266905971024921) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.308167040348052978515625), SC_(0.0), SC_(0.62603871743276241336716309892470885430588607823472) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.546881496906280517578125), SC_(0.20578654435957539606733819394147110908924172707042), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.54722058773040771484375), SC_(0.20665152079860081153721429260279109450429554981613), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.6323592662811279296875), SC_(0.43930604899962627245266961460372218903905055609132), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(1.1273902791007541153525146644324457120504537468556), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(1.2358299319379870542839137873725468238091083665107), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(1.7381860155745523019580819679763567705463527016776), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.9133758544921875), SC_(1.8108463883970626762098942145349948247449328511667), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.968867778778076171875), SC_(2.6581483604611423296672687586233881889446005776514), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.835008561611175537109375), SC_(0.992881298065185546875), SC_(3.7949950470267022075874317546605823270124738185727), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.097540400922298431396484375), SC_(0.0), SC_(0.88363331321825375715642717337234855003575333581594) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.71045430617414321474276926275370159590088171899258) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.66727876093031770394534964261121529020073110172094) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.188381969928741455078125), SC_(0.0), SC_(0.44242185206833813070299640515675043541769510359096) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.22103404998779296875), SC_(0.0), SC_(0.32998429550564020028577315054126736024480100800083) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.278498232364654541015625), SC_(0.0), SC_(0.16261576431011821862926285959718445666004133255343) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.308167040348052978515625), SC_(0.0), SC_(0.087211897999243794150592945929987460173617372488449) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.546881496906280517578125), SC_(0.0), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.54722058773040771484375), SC_(0.0), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.6323592662811279296875), SC_(0.0), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.814723670482635498046875), SC_(0.45397634370932193619534190128062115529835010315623), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.835008561611175537109375), SC_(0.53390321073029181892943713094659822881600167680857), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.905791938304901123046875), SC_(0.90613921339718082652200988725135179234012374668877), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.9133758544921875), SC_(0.96020063016469196523830950101285124624232815108098), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.968867778778076171875), SC_(1.5935340938699859742576824571685596509768758427999), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.905791938304901123046875), SC_(0.992881298065185546875), SC_(2.4488563960574186547345180307069118204055737783153), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.968867778778076171875), SC_(0.097540400922298431396484375), SC_(0.0), SC_(0.11042619189534262790908953978165539120063346376248) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.968867778778076171875), SC_(0.12698681652545928955078125), SC_(0.0), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.968867778778076171875), SC_(0.135477006435394287109375), SC_(0.0), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.968867778778076171875), SC_(0.188381969928741455078125), SC_(0.0), SC_(0.0) }}, 
+      {{ SC_(4.285762786865234375), SC_(0.968867778778076171875), SC_(0.22103404998779296875), SC_(0.0), SC_(0.0) }}, 
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+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.905791938304901123046875), SC_(4.8491960557963980035292148074528431720035358814699), SC_(0.3294894953986609916033336626015524599685183842467) }}, 
+      {{ SC_(92.12715911865234375), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(6.0888794890331687161400088157347320247735404922968), SC_(0.0) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.12698681652545928955078125), SC_(1731.9472261440476649223465153309330130218413488263), SC_(2008.6508614482898537589120267609649496227106232271) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.135477006435394287109375), SC_(1736.5657188363527475950980149268636394029462377856), SC_(2003.5929048812123568598412541899222837974710430322) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.814723670482635498046875), SC_(1977.6658673375844247879890881951720880388365161323), SC_(1760.4768198171724421292970489746793096978268967189) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.835008561611175537109375), SC_(1987.5748594608302442841747545677159525079523245726), SC_(1751.2912055326039226777743030902590011897101925503) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.905791938304901123046875), SC_(2030.8783270970520646604300718973721137858224679932), SC_(1711.8267801508003405716493887320367033273610294175) }}, 
+      {{ SC_(272.01507568359375), SC_(0.12698681652545928955078125), SC_(0.968867778778076171875), SC_(2101.8113422970922083642790340601954025169695424125), SC_(1649.4758057819173329762151299386537052435298561197) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.12698681652545928955078125), SC_(1606.9588926170896846656483498669616920264800063803), SC_(1865.057452017667176593967617721748030174574264553) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.135477006435394287109375), SC_(1611.2667735720526275769754427075345791326588821219), SC_(1860.3395146496086474589192537460496493858774855093) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.814723670482635498046875), SC_(1836.1554479864639370648835563618943915719578810277), SC_(1633.56980365889531443250244303087265264199083508) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.835008561611175537109375), SC_(1845.3982911408671590706536085656002496777088731952), SC_(1625.0019321861851545406845067942874599651470621026) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.905791938304901123046875), SC_(1885.7907110481644515101822055156909400229778888105), SC_(1588.191658721632658396114548288332485386501979879) }}, 
+      {{ SC_(272.01507568359375), SC_(0.135477006435394287109375), SC_(0.968867778778076171875), SC_(1951.9556388864961118467559147283521688612466094879), SC_(1530.0344949644168449167765519849025766327756184264) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.12698681652545928955078125), SC_(51.503721941681047189668059038480794252231740904069), SC_(71.360223781060499173547846106290476517830049479487) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.135477006435394287109375), SC_(51.829056034111796423875447973035142234788106480785), SC_(70.99148267506361758813861884362168309942833447231) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.814723670482635498046875), SC_(69.104281405069657731505451366525028624435678534001), SC_(53.517167321218393705996392789877790658918806192461) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.835008561611175537109375), SC_(69.824954950675200362960955162147776517176019826696), SC_(52.867927614647648258025590068385625191365558659749) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.905791938304901123046875), SC_(72.982855186913545331380652454483987653281750601456), SC_(50.08923843424186370264772256663907271895697988192) }}, 
+      {{ SC_(272.01507568359375), SC_(0.814723670482635498046875), SC_(0.968867778778076171875), SC_(78.183695006696982291565746619212447845869116855387), SC_(45.736749832811447970557694445419286643307911857461) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.12698681652545928955078125), SC_(44.177738587348597492185295632081119882763555344988), SC_(62.458577106278160523290529921712043695082904324879) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.135477006435394287109375), SC_(44.476392366774277795103754104395401317214357006499), SC_(62.118285144987383462995105244146148228230086342889) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.814723670482635498046875), SC_(60.377091401302131366299140420937567125788560470436), SC_(46.02661418142873125689282953102477300265575172496) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.835008561611175537109375), SC_(61.041927204443486505617423941542288870758355052458), SC_(45.430298472888491006364148499244007010567862887573) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.905791938304901123046875), SC_(63.956317317172836031691627567406336902394221150367), SC_(42.879669882871641505234380846022342455357840826787) }}, 
+      {{ SC_(272.01507568359375), SC_(0.835008561611175537109375), SC_(0.968867778778076171875), SC_(68.759945784170108399452621965412641264173823351731), SC_(38.889942400075882510189082009569162251302936255753) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.12698681652545928955078125), SC_(21.489496587266890076517016454951601933868240710191), SC_(34.21419151204538642582501073593898455181225393677) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.135477006435394287109375), SC_(21.693684376277839805051109736192556966243931278661), SC_(33.9738887895006144506312349546109034434543780342) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.814723670482635498046875), SC_(32.746018517690654246567264816843784711545696390601), SC_(22.755946481269646466611582848763719170337310131891) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.835008561611175537109375), SC_(33.214512480133603302329410116305283062246842134753), SC_(22.346866227457822973178099650153865406868569125644) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.905791938304901123046875), SC_(35.273093826701032451443765605959004625391699421517), SC_(20.603814129178545613790080798274981448289703629005) }}, 
+      {{ SC_(272.01507568359375), SC_(0.905791938304901123046875), SC_(0.968867778778076171875), SC_(38.682163065413445271801733134293205558716062791966), SC_(17.901424501093686966740632922099917275901391863203) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.12698681652545928955078125), SC_(4.8860982307362946848490148677021209303963709988433), SC_(11.700973803207663097096356923398241331317568902751) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.135477006435394287109375), SC_(4.9887446454577528986006399833823374787746289587588), SC_(11.566258084594318426060043263571263743668198571926) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.814723670482635498046875), SC_(10.880759501342490984683807982974895981350858245686), SC_(5.5273280527774480805413749184523466447940455089765) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.835008561611175537109375), SC_(11.141738049641109754624772567404173364587779651847), SC_(5.3190303970916925333893252428450932703036838979127) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.905791938304901123046875), SC_(12.296689997181380679405006454997551301575272020897), SC_(4.4443542423997783257006693663771333961825154928459) }}, 
+      {{ SC_(272.01507568359375), SC_(0.968867778778076171875), SC_(0.968867778778076171875), SC_(14.235964125170580443450965323386985634646137027791), SC_(3.1360623190240134481707711472606441020054701402056) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/noeh_support.cpp b/src/boost/libs/math/test/noeh_support.cpp
new file mode 100644
index 000000000..eee1d698d
--- /dev/null
+++ b/src/boost/libs/math/test/noeh_support.cpp
@@ -0,0 +1,25 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/config.hpp>
+#include <iostream>
+#include <iomanip>
+#include <cstdlib>
+
+
+#ifdef BOOST_NO_EXCEPTIONS
+
+namespace boost {
+
+   void throw_exception(const std::exception& e)
+   {
+      std::cout << e.what() << std::endl;
+      std::abort();
+   }
+
+
+}
+
+#endif
diff --git a/src/boost/libs/math/test/norms_test.cpp b/src/boost/libs/math/test/norms_test.cpp
new file mode 100644
index 000000000..266d6d920
--- /dev/null
+++ b/src/boost/libs/math/test/norms_test.cpp
@@ -0,0 +1,912 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#include <cmath>
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <limits>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/norms.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using std::abs;
+using std::pow;
+using std::sqrt;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+using boost::math::tools::lp_norm;
+using boost::math::tools::l1_norm;
+using boost::math::tools::l2_norm;
+using boost::math::tools::sup_norm;
+using boost::math::tools::lp_distance;
+using boost::math::tools::l1_distance;
+using boost::math::tools::l2_distance;
+using boost::math::tools::sup_distance;
+using boost::math::tools::total_variation;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ */
+
+// To stress test, set global_seed = 0, global_size = huge.
+static const constexpr size_t global_seed = 834;
+static const constexpr size_t global_size = 64;
+
+template<class T>
+std::vector<T> generate_random_vector(size_t size, size_t seed)
+{
+    if (seed == 0)
+    {
+        std::random_device rd;
+        seed = rd();
+    }
+    std::vector<T> v(size);
+
+    std::mt19937 gen(seed);
+
+    if constexpr (std::is_floating_point<T>::value)
+    {
+        std::normal_distribution<T> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (std::is_integral<T>::value)
+    {
+        // Rescaling by larger than 2 is UB!
+        std::uniform_int_distribution<T> dis(std::numeric_limits<T>::lowest()/2, (std::numeric_limits<T>::max)()/2);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (boost::is_complex<T>::value)
+    {
+        std::normal_distribution<typename T::value_type> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_complex)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_floating_point)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else
+    {
+        BOOST_ASSERT_MSG(false, "Could not identify type for random vector generation.");
+        return v;
+    }
+}
+
+
+template<class Real>
+void test_lp()
+{
+    Real tol = 50*std::numeric_limits<Real>::epsilon();
+
+    std::array<Real, 3> u{1,0,0};
+    Real l3 = lp_norm(u.begin(), u.end(), 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    u[0] = -8;
+    l3 = lp_norm(u.cbegin(), u.cend(), 3);
+    BOOST_TEST(abs(l3 - 8) < tol);
+
+    std::vector<Real> v(500);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = 7;
+    }
+    Real l8 = lp_norm(v, 8);
+    Real expected = 7*pow(v.size(), static_cast<Real>(1)/static_cast<Real>(8));
+    BOOST_TEST(abs(l8 - expected) < tol*abs(expected));
+
+    // Does it work with ublas vectors?
+    // Does it handle the overflow of intermediates?
+    boost::numeric::ublas::vector<Real> w(4);
+    Real bignum = sqrt((std::numeric_limits<Real>::max)())/256;
+    for (size_t i = 0; i < w.size(); ++i)
+    {
+        w[i] = bignum;
+    }
+    Real l20 = lp_norm(w.cbegin(), w.cend(), 4);
+    expected = bignum*pow(w.size(), static_cast<Real>(1)/static_cast<Real>(4));
+    BOOST_TEST(abs(l20 - expected) < tol*expected);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real l7 = scale*lp_norm(v, 7);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l7_ = lp_norm(v, 7);
+    BOOST_TEST(abs(l7_ - l7) < tol*l7);
+}
+
+
+template<class Complex>
+void test_complex_lp()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 50*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,0}, {0,0}};
+    Real l3 = lp_norm(v.cbegin(), v.cend(), 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    l3 = lp_norm(v, 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real l7 = scale*lp_norm(v, 7);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l7_ = lp_norm(v, 7);
+    BOOST_TEST(abs(l7_ - l7) < tol*l7);
+}
+
+template<class Z>
+void test_integer_lp()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+
+    std::array<Z, 3> u{1,0,0};
+    double l3 = lp_norm(u.begin(), u.end(), 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    auto v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double l7 = scale*lp_norm(v, 7);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double l7_ = lp_norm(v, 7);
+    BOOST_TEST(abs(l7_ - l7) < tol*l7);
+}
+
+template<class Real>
+void test_lp_distance()
+{
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+
+    std::vector<Real> u{1,0,0};
+    std::vector<Real> v{0,0,0};
+
+    Real dist = lp_distance(u,u, 3);
+    BOOST_TEST(abs(dist) < tol);
+
+    dist = lp_distance(u,v, 3);
+    BOOST_TEST(abs(dist - 1) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    u = generate_random_vector<Real>(global_size, global_seed+1);
+    Real dist1 = lp_distance(u, v, 7);
+    Real dist2 = lp_distance(v, u, 7);
+
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_lp_distance()
+{
+    using Real = typename Complex::value_type;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+
+    std::vector<Complex> u{{1,0},{0,0},{0,0}};
+    std::vector<Complex> v{{0,0},{0,0},{0,0}};
+
+    Real dist = boost::math::tools::lp_distance(u,u, 3);
+    BOOST_TEST(abs(dist) < tol);
+
+    dist = boost::math::tools::lp_distance(u,v, 3);
+    BOOST_TEST(abs(dist - 1) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    u = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = lp_distance(u, v, 7);
+    Real dist2 = lp_distance(v, u, 7);
+
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Z>
+void test_integer_lp_distance()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+
+    std::array<Z, 3> u{1,0,0};
+    std::array<Z, 3> w{0,0,0};
+    double l3 = lp_distance(u, w, 3);
+    BOOST_TEST(abs(l3 - 1) < tol);
+
+    auto v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    auto s = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = lp_distance(v, s, 7);
+    double dist2 = lp_distance(s, v, 7);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist2);
+}
+
+
+template<class Z>
+void test_integer_total_variation()
+{
+    double eps = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1};
+    double tv = boost::math::tools::total_variation(v);
+    BOOST_TEST_EQ(tv, 0);
+
+    v[1] = 2;
+    tv = boost::math::tools::total_variation(v.begin(), v.end());
+    BOOST_TEST_EQ(tv, 1);
+
+    v.resize(16);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = i;
+    }
+
+    tv = boost::math::tools::total_variation(v);
+    BOOST_TEST_EQ(tv, v.size() -1);
+
+    for (size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = i*i;
+    }
+
+    tv = boost::math::tools::total_variation(v);
+    BOOST_TEST_EQ(tv, (v.size() - 1)*(v.size() - 1));
+
+    // Work with std::array?
+    std::array<Z, 2> w{1,1};
+    tv = boost::math::tools::total_variation(w);
+    BOOST_TEST_EQ(tv,0);
+
+    std::array<Z, 4> u{1, 2, 1, 2};
+    tv = boost::math::tools::total_variation(u);
+    BOOST_TEST_EQ(tv, 3);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    double tv1 = 2*total_variation(v);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double tv2 = total_variation(v);
+    BOOST_TEST(abs(tv1 - tv2) < tv1*eps);
+}
+
+template<class Real>
+void test_total_variation()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1};
+    Real tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(tv >= 0 && abs(tv) < tol);
+
+    tv = total_variation(v);
+    BOOST_TEST(tv >= 0 && abs(tv) < tol);
+
+    v[1] = 2;
+    tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(abs(tv - 1) < tol);
+
+    v.resize(50);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = i;
+    }
+
+    tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(abs(tv - (v.size() -1)) < tol);
+
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = i*i;
+    }
+
+    tv = total_variation(v.begin(), v.end());
+    BOOST_TEST(abs(tv - (v.size() - 1)*(v.size() - 1)) < tol);
+
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real tv1 = scale*total_variation(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real tv2 = total_variation(v);
+    BOOST_TEST(abs(tv1 - tv2) < tol*tv1);
+}
+
+template<class Real>
+void test_sup_norm()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{-2,1,0};
+    Real s = boost::math::tools::sup_norm(v.begin(), v.end());
+    BOOST_TEST(abs(s - 2) < tol);
+
+    s = boost::math::tools::sup_norm(v);
+    BOOST_TEST(abs(s - 2) < tol);
+
+    // Work with std::array?
+    std::array<Real, 3> w{-2,1,0};
+    s = boost::math::tools::sup_norm(w);
+    BOOST_TEST(abs(s - 2) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real sup1 = scale*sup_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real sup2 = sup_norm(v);
+    BOOST_TEST(abs(sup1 - sup2) < tol*sup1);
+}
+
+template<class Z>
+void test_integer_sup_norm()
+{
+    double eps = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{2,1,0};
+    Z s = sup_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(s, 2);
+
+    s = sup_norm(v);
+    BOOST_TEST_EQ(s,2);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    double sup1 = 2*sup_norm(v);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double sup2 = sup_norm(v);
+    BOOST_TEST(abs(sup1 - sup2) < sup1*eps);
+}
+
+template<class Complex>
+void test_complex_sup_norm()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> w{{0,-8}, {1,1}, {3,2}};
+    Real s = sup_norm(w.cbegin(), w.cend());
+    BOOST_TEST(abs(s-8) < tol);
+
+    s = sup_norm(w);
+    BOOST_TEST(abs(s-8) < tol);
+
+    auto v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real sup1 = scale*sup_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real sup2 = sup_norm(v);
+    BOOST_TEST(abs(sup1 - sup2) < tol*sup1);
+}
+
+template<class Real>
+void test_l0_pseudo_norm()
+{
+    std::vector<Real> v{0,0,1};
+    size_t count = boost::math::tools::l0_pseudo_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(count, 1);
+
+    // Compiles with cbegin()/cend()?
+    count = boost::math::tools::l0_pseudo_norm(v.cbegin(), v.cend());
+    BOOST_TEST_EQ(count, 1);
+
+    count = boost::math::tools::l0_pseudo_norm(v);
+    BOOST_TEST_EQ(count, 1);
+
+    std::array<Real, 3> w{0,0,1};
+    count = boost::math::tools::l0_pseudo_norm(w);
+    BOOST_TEST_EQ(count, 1);
+}
+
+template<class Complex>
+void test_complex_l0_pseudo_norm()
+{
+    std::vector<Complex> v{{0,0}, {0,0}, {1,0}};
+    size_t count = boost::math::tools::l0_pseudo_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(count, 1);
+
+    count = boost::math::tools::l0_pseudo_norm(v);
+    BOOST_TEST_EQ(count, 1);
+}
+
+template<class Z>
+void test_hamming_distance()
+{
+    std::vector<Z> v{1,2,3};
+    std::vector<Z> w{1,2,4};
+    size_t count = boost::math::tools::hamming_distance(v, w);
+    BOOST_TEST_EQ(count, 1);
+
+    count = boost::math::tools::hamming_distance(v, v);
+    BOOST_TEST_EQ(count, 0);
+}
+
+template<class Real>
+void test_l1_norm()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    Real l1 = l1_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = l1_norm(v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    std::array<Real, 3> w{1,1,1};
+    l1 = l1_norm(w);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real l1_1 = scale*l1_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l1_2 = l1_norm(v);
+    BOOST_TEST(abs(l1_1 - l1_2) < tol*l1_1);
+}
+
+template<class Z>
+void test_integer_l1_norm()
+{
+    double eps = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1};
+    Z l1 = boost::math::tools::l1_norm(v.begin(), v.end());
+    BOOST_TEST_EQ(l1, 3);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    double l1_1 = 2*l1_norm(v);
+    Z scale = 2;
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double l1_2 = l1_norm(v);
+    BOOST_TEST(l1_1 > 0);
+    BOOST_TEST(l1_2 > 0);
+    if (abs(l1_1 - l1_2) > 2*l1_1*eps)
+    {
+        std::cout << std::setprecision(std::numeric_limits<double>::digits10);
+        std::cout << "L1_1 = " << l1_1 << "\n";
+        std::cout << "L1_2 = " << l1_2 << "\n";
+        BOOST_TEST(abs(l1_1 - l1_2) < 2*l1_1*eps);
+    }
+}
+
+template<class Complex>
+void test_complex_l1_norm()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}};
+    Real l1 = l1_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = l1_norm(v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real l1_1 = scale*l1_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l1_2 = l1_norm(v);
+    BOOST_TEST(abs(l1_1 - l1_2) < tol*l1_1);
+}
+
+template<class Real>
+void test_l1_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,2,3};
+    std::vector<Real> w{1,1,1};
+    Real l1 = boost::math::tools::l1_distance(v, v);
+    BOOST_TEST(abs(l1) < tol);
+
+    l1 = boost::math::tools::l1_distance(w, v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = boost::math::tools::l1_distance(v, w);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    w = generate_random_vector<Real>(global_size, global_seed+1);
+    Real dist1 = l1_distance(v, w);
+    Real dist2 = l1_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Z>
+void test_integer_l1_distance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,2,3};
+    std::vector<Z> w{1,1,1};
+    double l1 = boost::math::tools::l1_distance(v, v);
+    BOOST_TEST(abs(l1) < tol);
+
+    l1 = boost::math::tools::l1_distance(w, v);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    l1 = boost::math::tools::l1_distance(v, w);
+    BOOST_TEST(abs(l1 - 3) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    w = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = l1_distance(v, w);
+    double dist2 = l1_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_l1_distance()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}};
+    Real l1 = boost::math::tools::l1_distance(v, v);
+    BOOST_TEST(abs(l1) < tol);
+
+    std::vector<Complex> w{{2,0}, {0,1},{0,-1}};
+    l1 = boost::math::tools::l1_distance(v.cbegin(), v.cend(), w.cbegin());
+    BOOST_TEST(abs(l1 - 1) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    w = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = l1_distance(v, w);
+    Real dist2 = l1_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+
+template<class Real>
+void test_l2_norm()
+{
+    using std::sqrt;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1};
+    Real l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    l2 = boost::math::tools::l2_norm(v);
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    std::array<Real, 4> w{1,1,1,1};
+    l2 = boost::math::tools::l2_norm(w);
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    Real bignum = 4*sqrt((std::numeric_limits<Real>::max)());
+    v[0] = bignum;
+    v[1] = 0;
+    v[2] = 0;
+    v[3] = 0;
+    l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - bignum) < tol*l2);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 8;
+    Real l2_1 = scale*l2_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l2_2 = l2_norm(v);
+    BOOST_TEST(l2_1 > 0);
+    BOOST_TEST(l2_2 > 0);
+    BOOST_TEST(abs(l2_1 - l2_2) < tol*l2_1);
+}
+
+template<class Z>
+void test_integer_l2_norm()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1};
+    double l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double l2_1 = scale*l2_norm(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double l2_2 = l2_norm(v);
+    BOOST_TEST(l2_1 > 0);
+    BOOST_TEST(l2_2 > 0);
+    BOOST_TEST(abs(l2_1 - l2_2) < tol*l2_1);
+}
+
+template<class Complex>
+void test_complex_l2_norm()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}, {1,0}};
+    Real l2 = boost::math::tools::l2_norm(v.begin(), v.end());
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    l2 = boost::math::tools::l2_norm(v);
+    BOOST_TEST(abs(l2 - 2) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    Real scale = 8;
+    Real l2_1 = scale*l2_norm(v);
+    for (auto & x : v)
+    {
+        x *= -scale;
+    }
+    Real l2_2 = l2_norm(v);
+    BOOST_TEST(abs(l2_1 - l2_2) < tol*l2_1);
+}
+
+template<class Real>
+void test_l2_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1};
+    Real l2 = boost::math::tools::l2_distance(v, v);
+    BOOST_TEST(abs(l2) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    auto w = generate_random_vector<Real>(global_size, global_seed + 1);
+    Real dist1 = l2_distance(v, w);
+    Real dist2 = l2_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+
+template<class Z>
+void test_integer_l2_distance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1};
+    double l2 = boost::math::tools::l2_distance(v, v);
+    BOOST_TEST(abs(l2) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    auto w = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = l2_distance(v, w);
+    double dist2 = l2_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_l2_distance()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}, {1,0}};
+    Real l2 = boost::math::tools::l2_distance(v, v);
+    BOOST_TEST(abs(l2) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    auto w = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = l2_distance(v, w);
+    Real dist2 = l2_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Real>
+void test_sup_distance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1};
+    std::vector<Real> w{0,0,0,0};
+    Real sup = boost::math::tools::sup_distance(v, v);
+    BOOST_TEST(abs(sup) < tol);
+    sup = boost::math::tools::sup_distance(v, w);
+    BOOST_TEST(abs(sup -1) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    w = generate_random_vector<Real>(global_size, global_seed + 1);
+    Real dist1 = sup_distance(v, w);
+    Real dist2 = sup_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+
+template<class Z>
+void test_integer_sup_distance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1};
+    std::vector<Z> w{0,0,0,0};
+    double sup = boost::math::tools::sup_distance(v, v);
+    BOOST_TEST(abs(sup) < tol);
+
+    sup = boost::math::tools::sup_distance(v, w);
+    BOOST_TEST(abs(sup -1) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    w = generate_random_vector<Z>(global_size, global_seed + 1);
+    double dist1 = sup_distance(v, w);
+    double dist2 = sup_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+template<class Complex>
+void test_complex_sup_distance()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{1,0}, {0,1},{0,-1}, {1,0}};
+    Real sup = boost::math::tools::sup_distance(v, v);
+    BOOST_TEST(abs(sup) < tol);
+
+    v = generate_random_vector<Complex>(global_size, global_seed);
+    auto w = generate_random_vector<Complex>(global_size, global_seed + 1);
+    Real dist1 = sup_distance(v, w);
+    Real dist2 = sup_distance(w, v);
+    BOOST_TEST(abs(dist1 - dist2) < tol*dist1);
+}
+
+int main()
+{
+    test_l0_pseudo_norm<unsigned>();
+    test_l0_pseudo_norm<int>();
+    test_l0_pseudo_norm<float>();
+    test_l0_pseudo_norm<double>();
+    test_l0_pseudo_norm<long double>();
+    test_l0_pseudo_norm<cpp_bin_float_50>();
+
+    test_complex_l0_pseudo_norm<std::complex<float>>();
+    test_complex_l0_pseudo_norm<std::complex<double>>();
+    test_complex_l0_pseudo_norm<std::complex<long double>>();
+    test_complex_l0_pseudo_norm<cpp_complex_50>();
+
+    test_hamming_distance<int>();
+    test_hamming_distance<unsigned>();
+
+    test_l1_norm<float>();
+    test_l1_norm<double>();
+    test_l1_norm<long double>();
+    test_l1_norm<cpp_bin_float_50>();
+
+    test_integer_l1_norm<int>();
+    test_integer_l1_norm<unsigned>();
+
+    test_complex_l1_norm<std::complex<float>>();
+    test_complex_l1_norm<std::complex<double>>();
+    test_complex_l1_norm<std::complex<long double>>();
+    test_complex_l1_norm<cpp_complex_50>();
+
+    test_l1_distance<float>();
+    test_l1_distance<cpp_bin_float_50>();
+
+    test_integer_l1_distance<int>();
+    test_integer_l1_distance<unsigned>();
+
+    test_complex_l1_distance<std::complex<float>>();
+    test_complex_l1_distance<cpp_complex_50>();
+
+    test_complex_l2_norm<std::complex<float>>();
+    test_complex_l2_norm<std::complex<double>>();
+    test_complex_l2_norm<std::complex<long double>>();
+    test_complex_l2_norm<cpp_complex_50>();
+
+    test_l2_norm<float>();
+    test_l2_norm<double>();
+    test_l2_norm<long double>();
+    test_l2_norm<cpp_bin_float_50>();
+
+    test_integer_l2_norm<int>();
+    test_integer_l2_norm<unsigned>();
+
+    test_l2_distance<double>();
+    test_l2_distance<cpp_bin_float_50>();
+
+    test_integer_l2_distance<int>();
+    test_integer_l2_distance<unsigned>();
+
+    test_complex_l2_distance<std::complex<double>>();
+    test_complex_l2_distance<cpp_complex_50>();
+
+    test_lp<float>();
+    test_lp<double>();
+    test_lp<long double>();
+    test_lp<cpp_bin_float_50>();
+
+    test_complex_lp<std::complex<float>>();
+    test_complex_lp<std::complex<double>>();
+    test_complex_lp<std::complex<long double>>();
+    test_complex_lp<cpp_complex_50>();
+
+    test_integer_lp<int>();
+    test_integer_lp<unsigned>();
+
+    test_lp_distance<double>();
+    test_lp_distance<cpp_bin_float_50>();
+
+    test_complex_lp_distance<std::complex<double>>();
+    test_complex_lp_distance<cpp_complex_50>();
+
+    test_integer_lp_distance<int>();
+    test_integer_lp_distance<unsigned>();
+
+    test_sup_norm<float>();
+    test_sup_norm<double>();
+    test_sup_norm<long double>();
+    test_sup_norm<cpp_bin_float_50>();
+
+    test_integer_sup_norm<int>();
+    test_integer_sup_norm<unsigned>();
+
+    test_complex_sup_norm<std::complex<float>>();
+    test_complex_sup_norm<std::complex<double>>();
+    test_complex_sup_norm<std::complex<long double>>();
+    test_complex_sup_norm<cpp_complex_50>();
+
+    test_sup_distance<double>();
+    test_sup_distance<cpp_bin_float_50>();
+
+    test_integer_sup_distance<int>();
+    test_integer_sup_distance<unsigned>();
+
+    test_complex_sup_distance<std::complex<double>>();
+    test_complex_sup_distance<cpp_complex_50>();
+
+    test_total_variation<float>();
+    test_total_variation<double>();
+    test_total_variation<long double>();
+    test_total_variation<cpp_bin_float_50>();
+
+    test_integer_total_variation<uint32_t>();
+    test_integer_total_variation<int>();
+
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/ntl_concept_check.cpp b/src/boost/libs/math/test/ntl_concept_check.cpp
new file mode 100644
index 000000000..2142bca38
--- /dev/null
+++ b/src/boost/libs/math/test/ntl_concept_check.cpp
@@ -0,0 +1,35 @@
+//  Copyright John Maddock 2007-8.
+//  Copyright Paul A. Bristow 2009, 2011
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This tests two things: that boost::math::ntl::RR meets our
+// conceptual requirements, and that we can instantiate
+// all our distributions and special functions on this type.
+//
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4100) // unreferenced formal parameter
+#endif
+
+
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/math/bindings/rr.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
+#include "compile_test/instantiate.hpp"
+
+void foo()
+{
+   instantiate(boost::math::ntl::RR());
+}
+
+int main()
+{
+   BOOST_CONCEPT_ASSERT((boost::math::concepts::RealTypeConcept<boost::math::ntl::RR>));
+}
+
diff --git a/src/boost/libs/math/test/octonion_test.cpp b/src/boost/libs/math/test/octonion_test.cpp
new file mode 100644
index 000000000..6c528b1fc
--- /dev/null
+++ b/src/boost/libs/math/test/octonion_test.cpp
@@ -0,0 +1,775 @@
+// test file for octonion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <iomanip>
+
+
+#include <boost/mpl/list.hpp>
+
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+
+#include <boost/math/octonion.hpp>
+
+
+template<typename T>
+struct string_type_name;
+
+#define DEFINE_TYPE_NAME(Type)              \
+template<> struct string_type_name<Type>    \
+{                                           \
+    static char const * _()                 \
+    {                                       \
+        return #Type;                       \
+    }                                       \
+}
+
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+DEFINE_TYPE_NAME(long double);
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+typedef boost::mpl::list<float,double,long double>  test_types;
+#else
+typedef boost::mpl::list<float,double>  test_types;
+#endif
+
+// Apple GCC 4.0 uses the "double double" format for its long double,
+// which means that epsilon is VERY small but useless for
+// comparisons. So, don't do those comparisons.
+#if (defined(__APPLE_CC__) && defined(__GNUC__) && __GNUC__ == 4) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+typedef boost::mpl::list<float,double>  near_eps_test_types;
+#else
+typedef boost::mpl::list<float,double,long double>  near_eps_test_types;
+#endif
+
+#if BOOST_WORKAROUND(__GNUC__, < 3)
+    // gcc 2.x ignores function scope using declarations,
+    // put them in the scope of the enclosing namespace instead:
+using   ::std::sqrt;
+using   ::std::atan;
+using   ::std::log;
+using   ::std::exp;
+using   ::std::cos;
+using   ::std::sin;
+using   ::std::tan;
+using   ::std::cosh;
+using   ::std::sinh;
+using   ::std::tanh;
+
+using   ::std::numeric_limits;
+
+using   ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+
+
+#ifdef  BOOST_NO_STDC_NAMESPACE
+using   ::sqrt;
+using   ::atan;
+using   ::log;
+using   ::exp;
+using   ::cos;
+using   ::sin;
+using   ::tan;
+using   ::cosh;
+using   ::sinh;
+using   ::tanh;
+#endif  /* BOOST_NO_STDC_NAMESPACE */
+
+#ifdef  BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP
+using   ::boost::math::real;
+using   ::boost::math::unreal;
+using   ::boost::math::sup;
+using   ::boost::math::l1;
+using   ::boost::math::abs;
+using   ::boost::math::norm;
+using   ::boost::math::conj;
+using   ::boost::math::exp;
+using   ::boost::math::pow;
+using   ::boost::math::cos;
+using   ::boost::math::sin;
+using   ::boost::math::tan;
+using   ::boost::math::cosh;
+using   ::boost::math::sinh;
+using   ::boost::math::tanh;
+using   ::boost::math::sinc_pi;
+using   ::boost::math::sinhc_pi;
+#endif  /* BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP */
+  
+// Provide standard floating point abs() overloads if older Microsoft
+// library is used with _MSC_EXTENSIONS defined. This code also works
+// for the Intel compiler using the Microsoft library.
+#if defined(_MSC_EXTENSIONS) && defined(_MSC_VER) && _MSC_VER < 1310
+inline float        abs(float v)
+{
+    return(fabs(v));
+}
+
+inline double        abs(double v)
+{
+    return(fabs(v));
+}
+
+inline long double    abs(long double v)
+{
+    return(fabs(v));
+}
+#endif /* BOOST_WORKAROUND(BOOST_MSVC) */
+
+
+// explicit (if ludicrous) instanciation
+#if !BOOST_WORKAROUND(__GNUC__, < 3)
+template    class ::boost::math::octonion<int>;
+#else
+// gcc doesn't like the absolutely-qualified namespace
+template class boost::math::octonion<int>;
+#endif /* !BOOST_WORKAROUND(__GNUC__) */
+
+
+namespace
+{
+    template<typename T>
+    ::boost::math::octonion<T>    index_i_element(int idx)
+    {
+        return(
+            ::boost::math::octonion<T>(
+                        (idx == 0) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 1) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 2) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 3) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 4) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 5) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 6) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0),
+                        (idx == 7) ?
+                            static_cast<T>(1) :
+                            static_cast<T>(0)
+            ));
+    }
+}
+
+
+
+void    octonion_manual_test()
+{
+    // tests for evaluation by humans
+    
+    
+    // using default constructor
+    ::boost::math::octonion<float>            o0;
+    
+    ::boost::math::octonion<float>            oa[2];
+    
+    // using constructor "O seen as R^8"
+    ::boost::math::octonion<float>            o1(1,2,3,4,5,6,7,8);
+    
+    ::std::complex<double>                    c0(9,10);
+    
+    // using constructor "O seen as C^4"
+    ::boost::math::octonion<double>            o2(c0);
+    
+    ::boost::math::quaternion<long double>    q0(11,12,13,14);
+    
+    // using constructor "O seen as H^2"
+    ::boost::math::octonion<long double>      o3(q0);
+    
+    // using UNtemplated copy constructor
+    ::boost::math::octonion<float>            o4(o1);
+    
+    // using templated copy constructor
+    ::boost::math::octonion<long double>      o5(o2);
+    
+    // using UNtemplated assignment operator
+    o5 = o3;
+    oa[0] = o0;
+    
+    // using templated assignment operator
+    o5 = o2;
+    oa[1] = o5;
+    
+    float                                     f0(15);
+    
+    // using converting assignment operator
+    o0 = f0;
+    
+    // using converting assignment operator
+    o2 = c0;
+    
+    // using converting assignment operator
+    o5 = q0;
+    
+    // using += (const T &)
+    o4 += f0;
+    
+    // using += (const ::std::complex<T> &)
+    o2 += c0;
+    
+    // using += (const ::boost::math::quaternion<T> &)
+    o3 += q0;
+    
+    // using += (const quaternion<X> &)
+    o5 += o4;
+    
+    // using -= (const T &)
+    o1 -= f0;
+    
+    // using -= (const ::std::complex<T> &)
+    o2 -= c0;
+    
+    // using -= (const ::boost::math::quaternion<T> &)
+    o5 -= q0;
+    
+    // using -= (const octonion<X> &)
+    o3 -= o4;
+    
+    double                                    d0(16);
+    ::std::complex<double>                    c1(17,18);
+    ::boost::math::quaternion<double>         q1(19,20,21,22);
+    
+    // using *= (const T &)
+    o2 *= d0;
+    
+    // using *= (const ::std::complex<T> &)
+    o2 *= c1;
+    
+    // using *= (const ::boost::math::quaternion<T> &)
+    o2 *= q1;
+    
+    // using *= (const octonion<X> &)
+    o2 *= o4;
+    
+    long double                               l0(23);
+    ::std::complex<long double>               c2(24,25);
+    
+    // using /= (const T &)
+    o5 /= l0;
+    
+    // using /= (const ::std::complex<T> &)
+    o5 /= c2;
+    
+    // using /= (const quaternion<X> &)
+    o5 /= q0;
+    
+    // using /= (const octonion<X> &)
+    o5 /= o5;
+    
+    // using + (const T &, const octonion<T> &)
+    ::boost::math::octonion<float>            o6 = f0+o0;
+    
+    // using + (const octonion<T> &, const T &)
+    ::boost::math::octonion<float>            o7 = o0+f0;
+    
+    // using + (const ::std::complex<T> &, const quaternion<T> &)
+    ::boost::math::octonion<double>           o8 = c0+o2;
+    
+    // using + (const octonion<T> &, const ::std::complex<T> &)
+    ::boost::math::octonion<double>           o9 = o2+c0;
+    
+    // using + (const ::boost::math::quaternion<T>, const octonion<T> &)
+    ::boost::math::octonion<long double>      o10 = q0+o3;
+    
+    // using + (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    ::boost::math::octonion<long double>      o11 = o3+q0;
+    
+    // using + (const quaternion<T> &,const quaternion<T> &)
+    ::boost::math::octonion<float>            o12 = o0+o4;
+    
+    // using - (const T &, const octonion<T> &)
+    o6 = f0-o0;
+    
+    // using - (const octonion<T> &, const T &)
+    o7 = o0-f0;
+    
+    // using - (const ::std::complex<T> &, const octonion<T> &)
+    o8 = c0-o2;
+    
+    // using - (const octonion<T> &, const ::std::complex<T> &)
+    o9 = o2-c0;
+    
+    // using - (const quaternion<T> &,const octonion<T> &)
+    o10 = q0-o3;
+    
+    // using - (const octonion<T> &,const quaternion<T> &)
+    o11 = o3-q0;
+    
+    // using - (const octonion<T> &,const octonion<T> &)
+    o12 = o0-o4;
+    
+    // using * (const T &, const octonion<T> &)
+    o6 = f0*o0;
+    
+    // using * (const octonion<T> &, const T &)
+    o7 = o0*f0;
+    
+    // using * (const ::std::complex<T> &, const octonion<T> &)
+    o8 = c0*o2;
+    
+    // using * (const octonion<T> &, const ::std::complex<T> &)
+    o9 = o2*c0;
+    
+    // using * (const quaternion<T> &,const octonion<T> &)
+    o10 = q0*o3;
+    
+    // using * (const octonion<T> &,const quaternion<T> &)
+    o11 = o3*q0;
+    
+    // using * (const octonion<T> &,const octonion<T> &)
+    o12 = o0*o4;
+    
+    // using / (const T &, const octonion<T> &)
+    o6 = f0/o0;
+    
+    // using / (const octonion<T> &, const T &)
+    o7 = o0/f0;
+    
+    // using / (const ::std::complex<T> &, const octonion<T> &)
+    o8 = c0/o2;
+    
+    // using / (const octonion<T> &, const ::std::complex<T> &)
+    o9 = o2/c0;
+    
+    // using / (const ::boost::math::quaternion<T> &, const octonion<T> &)
+    o10 = q0/o3;
+    
+    // using / (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    o11 = o3/q0;
+    
+    // using / (const octonion<T> &,const octonion<T> &)
+    o12 = o0/o4;
+    
+    // using + (const octonion<T> &)
+    o4 = +o0;
+    
+    // using - (const octonion<T> &)
+    o0 = -o4;
+    
+    // using == (const T &, const octonion<T> &)
+    f0 == o0;
+    
+    // using == (const octonion<T> &, const T &)
+    o0 == f0;
+    
+    // using == (const ::std::complex<T> &, const octonion<T> &)
+    c0 == o2;
+    
+    // using == (const octonion<T> &, const ::std::complex<T> &)
+    o2 == c0;
+    
+    // using == (const ::boost::math::quaternion<T> &, const octonion<T> &)
+    q0 == o3;
+    
+    // using == (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    o3 == q0;
+    
+    // using == (const octonion<T> &,const octonion<T> &)
+    o0 == o4;
+    
+    // using != (const T &, const octonion<T> &)
+    f0 != o0;
+    
+    // using != (const octonion<T> &, const T &)
+    o0 != f0;
+    
+    // using != (const ::std::complex<T> &, const octonion<T> &)
+    c0 != o2;
+    
+    // using != (const octonion<T> &, const ::std::complex<T> &)
+    o2 != c0;
+    
+    // using != (const ::boost::math::quaternion<T> &, const octonion<T> &)
+    q0 != o3;
+    
+    // using != (const octonion<T> &, const ::boost::math::quaternion<T> &)
+    o3 != q0;
+    
+    // using != (const octonion<T> &,const octonion<T> &)
+    o0 != o4;
+    
+    BOOST_TEST_MESSAGE("Please input an octonion...");
+    
+#ifdef BOOST_INTERACTIVE_TEST_INPUT_ITERATOR
+    ::std::cin >> o0;
+    
+    if    (::std::cin.fail())
+    {
+        BOOST_TEST_MESSAGE("You have entered nonsense!");
+    }
+    else
+    {
+        BOOST_TEST_MESSAGE("You have entered the octonion " << o0 << " .");
+    }
+#else
+    ::std::istringstream                bogus("(1,2,3,4,5,6,7,8)");
+    
+    bogus >> o0;
+    
+    BOOST_TEST_MESSAGE("You have entered the octonion " << o0 << " .");
+#endif
+    
+    BOOST_TEST_MESSAGE("For this octonion:");
+    
+    BOOST_TEST_MESSAGE( "the value of the real part is "
+                << real(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the unreal part is "
+                << unreal(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the sup norm is "
+                << sup(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the l1 norm is "
+                << l1(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the magnitude (Euclidean norm) is "
+                << abs(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the (Cayley) norm is "
+                << norm(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the conjugate is "
+                << conj(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the exponential is "
+                << exp(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the cube is "
+                << pow(o0,3));
+    
+    BOOST_TEST_MESSAGE( "the value of the cosinus is "
+                << cos(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the sinus is "
+                << sin(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the tangent is "
+                << tan(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the hyperbolic cosinus is "
+                << cosh(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the hyperbolic sinus is "
+                << sinh(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of the hyperbolic tangent is "
+                << tanh(o0));
+    
+#ifdef    BOOST_NO_TEMPLATE_TEMPLATES
+    BOOST_TEST_MESSAGE( "no template templates, can't compute cardinal functions");
+#else    /* BOOST_NO_TEMPLATE_TEMPLATES */
+    BOOST_TEST_MESSAGE( "the value of the Sinus Cardinal (of index pi) is "
+                << sinc_pi(o0));
+    
+    BOOST_TEST_MESSAGE( "the value of "
+                << "the Hyperbolic Sinus Cardinal (of index pi) is "
+                << sinhc_pi(o0));
+#endif    /* BOOST_NO_TEMPLATE_TEMPLATES */
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    float                            rho = ::std::sqrt(4096.0f);
+    float                            theta = ::std::atan(1.0f);
+    float                            phi1 = ::std::atan(1.0f);
+    float                            phi2 = ::std::atan(1.0f);
+    float                            phi3 = ::std::atan(1.0f);
+    float                            phi4 = ::std::atan(1.0f);
+    float                            phi5 = ::std::atan(1.0f);
+    float                            phi6 = ::std::atan(1.0f);
+    
+    BOOST_TEST_MESSAGE( "The value of the octonion represented "
+                << "in spherical form by "
+                << "rho = " << rho << " , theta = " << theta
+                << " , phi1 = " << phi1 << " , phi2 = " << phi2
+                << " , phi3 = " << phi3 << " , phi4 = " << phi4
+                << " , phi5 = " << phi5 << " , phi6 = " << phi6
+                << " is "
+                << ::boost::math::spherical(rho, theta,
+                        phi1, phi2, phi3, phi4, phi5, phi6));
+    
+    float                            rho1 = 1;
+    float                            rho2 = 2;
+    float                            rho3 = ::std::sqrt(2.0f);
+    float                            rho4 = ::std::sqrt(8.0f);
+    float                            theta1 = 0;
+    float                            theta2 = ::std::atan(1.0f)*2;
+    float                            theta3 = ::std::atan(1.0f);
+    float                            theta4 = ::std::atan(::std::sqrt(3.0f));
+    
+    BOOST_TEST_MESSAGE( "The value of the octonion represented "
+                << "in multipolar form by "
+                << "rho1 = " << rho1 << " , theta1 = " << theta1
+                << " , rho2 = " << rho2 << " , theta2 = " << theta2
+                << "rho3 = " << rho3 << " , theta3 = " << theta3
+                << " , rho4 = " << rho4 << " , theta4 = " << theta4
+                << " is "
+                << ::boost::math::multipolar(rho1, theta1, rho2, theta2,
+                        rho3, theta3, rho4, theta4));
+    
+    float                            r = ::std::sqrt(2.0f);
+    float                            angle = ::std::atan(1.0f);
+    float                            h1 = 3;
+    float                            h2 = 4;
+    float                            h3 = 5;
+    float                            h4 = 6;
+    float                            h5 = 7;
+    float                            h6 = 8;
+    
+    BOOST_TEST_MESSAGE( "The value of the octonion represented "
+                << "in cylindrical form by "
+                << "r = " << r << " , angle = " << angle
+                << " , h1 = " << h1 << " , h2 = " << h2
+                << " , h3 = " << h3 << " , h4 = " << h4
+                << " , h5 = " << h5 << " , h6 = " << h6
+                << " is " << ::boost::math::cylindrical(r, angle,
+                        h1, h2, h3, h4, h5, h6));
+    
+    double                               real_1(1);
+    ::std::complex<double>               complex_1(1);
+    ::std::complex<double>               complex_i(0,1);
+    ::boost::math::quaternion<double>    quaternion_1(1);
+    ::boost::math::quaternion<double>    quaternion_i(0,1);
+    ::boost::math::quaternion<double>    quaternion_j(0,0,1);
+    ::boost::math::quaternion<double>    quaternion_k(0,0,0,1);
+    ::boost::math::octonion<double>      octonion_1(1);
+    ::boost::math::octonion<double>      octonion_i(0,1);
+    ::boost::math::octonion<double>      octonion_j(0,0,1);
+    ::boost::math::octonion<double>      octonion_k(0,0,0,1);
+    ::boost::math::octonion<double>      octonion_e_prime(0,0,0,0,1);
+    ::boost::math::octonion<double>      octonion_i_prime(0,0,0,0,0,1);
+    ::boost::math::octonion<double>      octonion_j_prime(0,0,0,0,0,0,1);
+    ::boost::math::octonion<double>      octonion_k_prime(0,0,0,0,0,0,0,1);
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    BOOST_TEST_MESSAGE( "Real 1: " << real_1
+                << " ; Complex 1: " << complex_1
+                << " ; Quaternion 1: " << quaternion_1
+                << " ; Octonion 1: " << octonion_1 << " .");
+                
+    BOOST_TEST_MESSAGE( "Complex i: " << complex_i
+                << " ; Quaternion i: " << quaternion_i
+                << " ; Octonion i : " << octonion_i << " .");
+                
+    BOOST_TEST_MESSAGE( "Quaternion j: " << quaternion_j
+                << " ; Octonion j: " << octonion_j << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion k: " << quaternion_k
+                << " ; Octonion k: " << octonion_k << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion e\': " << octonion_e_prime << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion i\': " << octonion_i_prime << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion j\': " << octonion_j_prime << " .");
+    
+    BOOST_TEST_MESSAGE( "Quaternion k\': " << octonion_k_prime << " .");
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    BOOST_TEST_MESSAGE( octonion_1*octonion_1 << " ; "
+                << octonion_1*octonion_i << " ; "
+                << octonion_1*octonion_j << " ; "
+                << octonion_1*octonion_k << " ; "
+                << octonion_1*octonion_e_prime << " ; "
+                << octonion_1*octonion_i_prime << " ; "
+                << octonion_1*octonion_j_prime << " ; "
+                << octonion_1*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_i*octonion_1 << " ; "
+                << octonion_i*octonion_i << " ; "
+                << octonion_i*octonion_j << " ; "
+                << octonion_i*octonion_k << " ; "
+                << octonion_i*octonion_e_prime << " ; "
+                << octonion_i*octonion_i_prime << " ; "
+                << octonion_i*octonion_j_prime << " ; "
+                << octonion_i*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_j*octonion_1 << " ; "
+                << octonion_j*octonion_i << " ; "
+                << octonion_j*octonion_j << " ; "
+                << octonion_j*octonion_k << " ; "
+                << octonion_j*octonion_e_prime << " ; "
+                << octonion_j*octonion_i_prime << " ; "
+                << octonion_j*octonion_j_prime << " ; "
+                << octonion_j*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_k*octonion_1 << " ; "
+                << octonion_k*octonion_i << " ; "
+                << octonion_k*octonion_j << " ; "
+                << octonion_k*octonion_k << " ; "
+                << octonion_k*octonion_e_prime << " ; "
+                << octonion_k*octonion_i_prime << " ; "
+                << octonion_k*octonion_j_prime << " ; "
+                << octonion_k*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_e_prime*octonion_1 << " ; "
+                << octonion_e_prime*octonion_i << " ; "
+                << octonion_e_prime*octonion_j << " ; "
+                << octonion_e_prime*octonion_k << " ; "
+                << octonion_e_prime*octonion_e_prime << " ; "
+                << octonion_e_prime*octonion_i_prime << " ; "
+                << octonion_e_prime*octonion_j_prime << " ; "
+                << octonion_e_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_i_prime*octonion_1 << " ; "
+                << octonion_i_prime*octonion_i << " ; "
+                << octonion_i_prime*octonion_j << " ; "
+                << octonion_i_prime*octonion_k << " ; "
+                << octonion_i_prime*octonion_e_prime << " ; "
+                << octonion_i_prime*octonion_i_prime << " ; "
+                << octonion_i_prime*octonion_j_prime << " ; "
+                << octonion_i_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_j_prime*octonion_1 << " ; "
+                << octonion_j_prime*octonion_i << " ; "
+                << octonion_j_prime*octonion_j << " ; "
+                << octonion_j_prime*octonion_k << " ; "
+                << octonion_j_prime*octonion_e_prime << " ; "
+                << octonion_j_prime*octonion_i_prime << " ; "
+                << octonion_j_prime*octonion_j_prime << " ; "
+                << octonion_j_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE( octonion_k_prime*octonion_1 << " ; "
+                << octonion_k_prime*octonion_i << " ; "
+                << octonion_k_prime*octonion_j << " ; "
+                << octonion_k_prime*octonion_k << " ; "
+                << octonion_k_prime*octonion_e_prime << " ; "
+                << octonion_k_prime*octonion_i_prime << " ; "
+                << octonion_k_prime*octonion_j_prime << " ; "
+                << octonion_k_prime*octonion_k_prime << " ; ");
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    BOOST_TEST_MESSAGE("i\'*(e\'*j) : "
+    << octonion_i_prime*(octonion_e_prime*octonion_j) << " ;");
+    
+    BOOST_TEST_MESSAGE("(i\'*e\')*j : "
+    << (octonion_i_prime*octonion_e_prime)*octonion_j << " ;");
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(multiplication_test, T)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::boost::math::abs;
+#endif /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing multiplication for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::octonion<T>(1,0,0,0,0,0,0,0)*
+             ::boost::math::octonion<T>(1,0,0,0,0,0,0,0)-
+             static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    for    (int idx = 1; idx < 8; ++idx)
+    {
+        ::boost::math::octonion<T>    toto = index_i_element<T>(idx);
+        
+        BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+            (abs(toto*toto+static_cast<T>(1)))
+            (numeric_limits<T>::epsilon()));
+    }
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(exp_test, T)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing exp for "
+        << string_type_name<T>::_() << ".");
+    
+    for    (int idx = 1; idx < 8; ++idx)
+    {
+        ::boost::math::octonion<T>    toto =
+            static_cast<T>(4)*atan(static_cast<T>(1))*index_i_element<T>(idx);
+            
+        BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+            (abs(exp(toto)+static_cast<T>(1)))
+            (2*numeric_limits<T>::epsilon()));
+    }
+}
+
+
+boost::unit_test::test_suite *    init_unit_test_suite(int, char *[])
+{
+    ::boost::unit_test::unit_test_log.
+        set_threshold_level(::boost::unit_test::log_messages);
+    
+    boost::unit_test::test_suite *    test =
+        BOOST_TEST_SUITE("octonion_test");
+    
+    BOOST_TEST_MESSAGE("Results of octonion test.");
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("(C) Copyright Hubert Holin 2003-2005.");
+    BOOST_TEST_MESSAGE("Distributed under the Boost Software License, Version 1.0.");
+    BOOST_TEST_MESSAGE("(See accompanying file LICENSE_1_0.txt or copy at");
+    BOOST_TEST_MESSAGE("http://www.boost.org/LICENSE_1_0.txt)");
+    BOOST_TEST_MESSAGE(" ");
+    
+#define    BOOST_OCTONION_COMMON_GENERATOR(fct) \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, test_types));
+    
+#define    BOOST_OCTONION_COMMON_GENERATOR_NEAR_EPS(fct) \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, near_eps_test_types));
+    
+    
+#define    BOOST_OCTONION_TEST                      \
+    BOOST_OCTONION_COMMON_GENERATOR(multiplication) \
+    BOOST_OCTONION_COMMON_GENERATOR_NEAR_EPS(exp)
+    
+    
+    BOOST_OCTONION_TEST
+    
+    
+#undef    BOOST_OCTONION_TEST
+    
+#undef    BOOST_OCTONION_COMMON_GENERATOR
+#undef BOOST_OCTONION_COMMON_GENERATOR_NEAR_EPS
+    
+#ifdef BOOST_OCTONION_TEST_VERBOSE
+    
+    test->add(BOOST_TEST_CASE(octonion_manual_test));
+    
+#endif    /* BOOST_OCTONION_TEST_VERBOSE */
+    
+    return test;
+}
+
+#undef DEFINE_TYPE_NAME
diff --git a/src/boost/libs/math/test/ooura_fourier_integral_test.cpp b/src/boost/libs/math/test/ooura_fourier_integral_test.cpp
new file mode 100644
index 000000000..d1e49b482
--- /dev/null
+++ b/src/boost/libs/math/test/ooura_fourier_integral_test.cpp
@@ -0,0 +1,377 @@
+// Copyright Nick Thompson, 2019
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+#define BOOST_TEST_MODULE test_ooura_fourier_transform
+
+#include <cmath>
+#include <iostream>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/ooura_fourier_integrals.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+using boost::math::quadrature::ooura_fourier_sin;
+using boost::math::quadrature::ooura_fourier_cos;
+using boost::math::constants::pi;
+
+
+float float_tol = 10*std::numeric_limits<float>::epsilon();
+ooura_fourier_sin<float> float_sin_integrator(float_tol);
+
+double double_tol = 10*std::numeric_limits<double>::epsilon();
+ooura_fourier_sin<double> double_sin_integrator(double_tol);
+
+long double long_double_tol = 10*std::numeric_limits<long double>::epsilon();
+ooura_fourier_sin<long double> long_double_sin_integrator(long_double_tol);
+
+template<class Real>
+auto get_sin_integrator() {
+    if constexpr (std::is_same_v<Real, float>) {
+        return float_sin_integrator;
+    }
+    if constexpr (std::is_same_v<Real, double>) {
+        return double_sin_integrator;
+    }
+    if constexpr (std::is_same_v<Real, long double>) {
+        return long_double_sin_integrator;
+    }
+}
+
+ooura_fourier_cos<float> float_cos_integrator(float_tol);
+ooura_fourier_cos<double> double_cos_integrator(double_tol);
+ooura_fourier_cos<long double> long_double_cos_integrator(long_double_tol);
+
+template<class Real>
+auto get_cos_integrator() {
+    if constexpr (std::is_same_v<Real, float>) {
+        return float_cos_integrator;
+    }
+    if constexpr (std::is_same_v<Real, double>) {
+        return double_cos_integrator;
+    }
+    if constexpr (std::is_same_v<Real, long double>) {
+        return long_double_cos_integrator;
+    }
+}
+
+
+template<class Real>
+void test_ooura_eta()
+{
+    using boost::math::quadrature::detail::ooura_eta;
+    std::cout << "Testing eta function on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    {
+        Real x = 0;
+        Real alpha = 7;
+        auto [eta, eta_prime] = ooura_eta(x, alpha);
+        BOOST_CHECK_SMALL(eta, (std::numeric_limits<Real>::min)());
+        BOOST_CHECK_CLOSE_FRACTION(eta_prime, 2 + alpha + Real(1)/Real(4), 10*std::numeric_limits<Real>::epsilon());
+    }
+
+    {
+        Real alpha = 4;
+        for (Real z = 0.125; z < 500; z += 0.125) {
+            Real x = std::log(z);
+            auto [eta, eta_prime] = ooura_eta(x, alpha);
+            BOOST_CHECK_CLOSE_FRACTION(eta, 2*x + alpha*(1-1/z) + (z-1)/4, 10*std::numeric_limits<Real>::epsilon());
+            BOOST_CHECK_CLOSE_FRACTION(eta_prime, 2 + alpha/z + z/4, 10*std::numeric_limits<Real>::epsilon());
+        }
+    }
+}
+
+template<class Real>
+void test_ooura_sin_nodes_and_weights()
+{
+    using boost::math::quadrature::detail::ooura_sin_node_and_weight;
+    using boost::math::quadrature::detail::ooura_eta;
+    std::cout << "Testing nodes and weights on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    {
+        long n = 1;
+        Real alpha = 1;
+        Real h = 1;
+        auto [node, weight] = ooura_sin_node_and_weight(n, h, alpha);
+        Real expected_node = pi<Real>()/(1-exp(-ooura_eta(n*h, alpha).first));
+        BOOST_CHECK_CLOSE_FRACTION(node,  expected_node,10*std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_ooura_alpha() {
+    std::cout << "Testing Ooura alpha on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::log1p;
+    using boost::math::quadrature::detail::calculate_ooura_alpha;
+    Real alpha = calculate_ooura_alpha(Real(1));
+    Real expected = 1/sqrt(16 + 4*log1p(pi<Real>()));
+    BOOST_CHECK_CLOSE_FRACTION(alpha, expected, 10*std::numeric_limits<Real>::epsilon());
+}
+
+void test_node_weight_precision_agreement()
+{
+    using std::abs;
+    using boost::math::quadrature::detail::ooura_sin_node_and_weight;
+    using boost::math::quadrature::detail::ooura_eta;
+    using boost::multiprecision::cpp_bin_float_quad;
+    std::cout << "Testing agreement in two different precisions of nodes and weights\n";
+    cpp_bin_float_quad alpha_quad = 1;
+    long int_max = 128;
+    cpp_bin_float_quad h_quad = 1/cpp_bin_float_quad(int_max);
+    double alpha_dbl = 1;
+    double h_dbl = static_cast<double>(h_quad);
+    std::cout << std::fixed;
+    for (long n = -1; n > -6*int_max; --n) {
+        auto [node_dbl, weight_dbl] = ooura_sin_node_and_weight(n, h_dbl, alpha_dbl);
+        auto p = ooura_sin_node_and_weight(n, h_quad, alpha_quad);
+        double node_quad = static_cast<double>(p.first);
+        double weight_quad = static_cast<double>(p.second);
+        auto node_dist = abs(boost::math::float_distance(node_quad, node_dbl));
+        if ( (weight_quad < 0 && weight_dbl > 0) || (weight_dbl < 0 && weight_quad > 0) ){
+            std::cout << "Weights at different precisions have different signs!\n";
+        } else {
+            auto weight_dist = abs(boost::math::float_distance(weight_quad, weight_dbl));
+            if (weight_dist > 100) {
+                std::cout << std::fixed;
+                std::cout <<"n =" << n << ", x = " << n*h_dbl << ", node distance = " << node_dist << ", weight distance = " << weight_dist << "\n";
+                std::cout << std::scientific;
+                std::cout << "computed weight = " << weight_dbl << ", actual weight = " << weight_quad << "\n";
+            }
+        }
+    }
+
+}
+
+template<class Real>
+void test_sinc()
+{
+    std::cout << "Testing sinc integral on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::numeric_limits;
+    Real tol = 50*numeric_limits<Real>::epsilon();
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real x)->Real { return 1/x; };
+    Real omega = 1;
+    while (omega < 10)
+    {
+        auto [Is, err] = integrator.integrate(f, omega);
+        BOOST_CHECK_CLOSE_FRACTION(Is, pi<Real>()/2, tol);
+
+        auto [Isn, errn] = integrator.integrate(f, -omega);
+        BOOST_CHECK_CLOSE_FRACTION(Isn, -pi<Real>()/2, tol);
+        omega += 1;
+    }
+}
+
+
+template<class Real>
+void test_exp()
+{
+    std::cout << "Testing exponential integral on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::exp;
+    using std::numeric_limits;
+    Real tol = 50*numeric_limits<Real>::epsilon();
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real x)->Real {return exp(-x);};
+    Real omega = 1;
+    while (omega < 5)
+    {
+        auto [Is, err] = integrator.integrate(f, omega);
+        Real exact = omega/(1+omega*omega);
+        BOOST_CHECK_CLOSE_FRACTION(Is, exact, tol);
+        omega += 1;
+    }
+}
+
+
+template<class Real>
+void test_root()
+{
+    std::cout << "Testing integral of sin(kx)/sqrt(x) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::numeric_limits;
+    Real tol = 10*numeric_limits<Real>::epsilon();
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real x)->Real { return 1/sqrt(x);};
+    Real omega = 1;
+    while (omega < 5) {
+        auto [Is, err] = integrator.integrate(f, omega);
+        Real exact = sqrt(pi<Real>()/(2*omega));
+        BOOST_CHECK_CLOSE_FRACTION(Is, exact, 10*tol);
+        omega += 1;
+    }
+}
+
+// See: https://scicomp.stackexchange.com/questions/32790/numerical-evaluation-of-highly-oscillatory-integral/32799#32799
+template<class Real>
+Real asymptotic(Real lambda) {
+    using std::sin;
+    using std::cos;
+    using boost::math::constants::pi;
+    Real I1 = cos(lambda - pi<Real>()/4)*sqrt(2*pi<Real>()/lambda);
+    Real I2 = sin(lambda - pi<Real>()/4)*sqrt(2*pi<Real>()/(lambda*lambda*lambda))/8;
+    return I1 + I2;
+}
+
+template<class Real>
+void test_double_osc()
+{
+    std::cout << "Testing double oscillation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::numeric_limits;
+    auto integrator = get_sin_integrator<Real>();
+    Real lambda = 7;
+    auto f = [&lambda](Real x)->Real { return cos(lambda*cos(x))/x; };
+    Real omega = 1;
+    auto [Is, err] = integrator.integrate(f, omega);
+    Real exact = asymptotic(lambda);
+    BOOST_CHECK_CLOSE_FRACTION(2*Is, exact, 0.05);
+}
+
+template<class Real>
+void test_zero_integrand()
+{
+    // Make sure relative error tolerance doesn't break on zero integrand:
+    std::cout << "Testing zero integrand on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::sqrt;
+    using std::numeric_limits;
+    auto integrator = get_sin_integrator<Real>();
+    auto f = [](Real /* x */)->Real { return Real(0); };
+    Real omega = 1;
+    auto [Is, err] = integrator.integrate(f, omega);
+    Real exact = 0;
+    BOOST_CHECK_EQUAL(Is, exact);
+}
+
+
+// This works, but doesn't recover the precision you want in a unit test:
+// template<class Real>
+// void test_log()
+// {
+//     std::cout << "Testing integral of log(x)sin(x) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+//     using std::log;
+//     using std::exp;
+//     using std::numeric_limits;
+//     using boost::math::constants::euler;
+//     Real tol = 1000*numeric_limits<Real>::epsilon();
+//     auto f = [](Real x)->Real { return exp(-100*numeric_limits<Real>::epsilon()*x)*log(x);};
+//     Real omega = 1;
+//     Real Is = ooura_fourier_sin<decltype(f), Real>(f, omega, sqrt(numeric_limits<Real>::epsilon())/100);
+//     BOOST_CHECK_CLOSE_FRACTION(Is, -euler<Real>(), tol);
+// }
+
+
+template<class Real>
+void test_cos_integral1()
+{
+    std::cout << "Testing integral of cos(x)/(x*x+1) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::exp;
+    using boost::math::constants::half_pi;
+    using boost::math::constants::e;
+    using std::numeric_limits;
+    Real tol = 10*numeric_limits<Real>::epsilon();
+
+    auto integrator = get_cos_integrator<Real>();
+    auto f = [](Real x)->Real { return 1/(x*x+1);};
+    Real omega = 1;
+    auto [Is, err] = integrator.integrate(f, omega);
+    Real exact = half_pi<Real>()/e<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Is, exact, tol);
+}
+
+template<class Real>
+void test_cos_integral2()
+{
+    std::cout << "Testing integral of exp(-a*x) on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    using std::exp;
+    using boost::math::constants::half_pi;
+    using boost::math::constants::e;
+    using std::numeric_limits;
+    Real tol = 10*numeric_limits<Real>::epsilon();
+
+    auto integrator = get_cos_integrator<Real>();
+    for (Real a = 1; a < 5; ++a) {
+        auto f = [&a](Real x)->Real { return exp(-a*x);};
+        for(Real omega = 1; omega < 5; ++omega) {
+            auto [Is, err] = integrator.integrate(f, omega);
+            Real exact = a/(a*a+omega*omega);
+            BOOST_CHECK_CLOSE_FRACTION(Is, exact, 10*tol);
+        }
+    }
+}
+
+template<class Real>
+void test_nodes()
+{
+    std::cout << "Testing nodes and weights on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    auto sin_integrator = get_sin_integrator<Real>();
+
+    auto const & big_nodes = sin_integrator.big_nodes();
+    for (auto & node_row : big_nodes) {
+        Real t0 = node_row[0];
+        for (size_t i = 1; i < node_row.size(); ++i) {
+            Real t1 = node_row[i];
+            BOOST_CHECK(t1 > t0);
+            t0 = t1;
+        }
+    }
+
+    auto const & little_nodes = sin_integrator.little_nodes();
+    for (auto & node_row : little_nodes) {
+        Real t0 = node_row[0];
+        for (size_t i = 1; i < node_row.size(); ++i) {
+            Real t1 = node_row[i];
+            BOOST_CHECK(t1 < t0);
+            t0 = t1;
+        }
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(ooura_fourier_transform_test)
+{
+    test_cos_integral1<float>();
+    test_cos_integral1<double>();
+    test_cos_integral1<long double>();
+
+    test_cos_integral2<float>();
+    test_cos_integral2<double>();
+    test_cos_integral2<long double>();
+
+    //test_node_weight_precision_agreement();
+    test_zero_integrand<float>();
+    test_zero_integrand<double>();
+
+    test_ooura_eta<float>();
+    test_ooura_eta<double>();
+    test_ooura_eta<long double>();
+
+    test_ooura_sin_nodes_and_weights<float>();
+    test_ooura_sin_nodes_and_weights<double>();
+    test_ooura_sin_nodes_and_weights<long double>();
+
+    test_ooura_alpha<float>();
+    test_ooura_alpha<double>();
+    test_ooura_alpha<long double>();
+
+    test_sinc<float>();
+    test_sinc<double>();
+    test_sinc<long double>();
+
+    test_exp<float>();
+    test_exp<double>();
+    test_exp<long double>();
+
+    test_root<float>();
+    test_root<double>();
+
+    test_double_osc<float>();
+    test_double_osc<double>();
+    // Takes too long!
+    //test_double_osc<long double>();
+
+    // This test should be last:
+    test_nodes<float>();
+    test_nodes<double>();
+    test_nodes<long double>();
+}
diff --git a/src/boost/libs/math/test/owens_t.ipp b/src/boost/libs/math/test/owens_t.ipp
new file mode 100644
index 000000000..0cd1adc20
--- /dev/null
+++ b/src/boost/libs/math/test/owens_t.ipp
@@ -0,0 +1,410 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 400> owens_t = {{
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(2.2942365980155351117754771526378292708740231264960539316842063696200884829628237039895484898529192823e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.9680322689154555657058017082736661495213677947212098762543622722763825563827711568131850564334565506e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.1597654248037660387449520543820166351754668510505531823382492970457382200077558044792256804713386129e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.8838196992874145507812500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(4.3232953135233836153944327583670440589476418747370390302105974330237550687887327299360596774532791101e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.0100550889644229746912561152386170907268949874219104978095620802138249447202878889126283209658742296e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.7849817276000976562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.1497543339940146251856615610147485246423382395107105527248575888794201708943383385544040841893167983e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.7002307780595028311848002054681870716943983498717211440016321757838493256869247382910637200137362515e-03) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.4688143730163574218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.0087628098924846553420452991323128540455257919474718546084030038511341392097627616477463678020520866e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.4722046852111816406250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.0091132928374177373986149936548570045661635017241761865456752105413011145950758665503631981469962091e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.0865842961288026187893734175479235962324504288027096290482416005557459196544605743966959957549259912e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.1928879205559397161128411536383665386049060100190891105612351797899324440156577849032776806264950516e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2007404932089150629318599721043926151201252590201116565157838995615594563567446592356739043515060955e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2234231937902890618076422454559854736034641208834938001805660215261543653258044507100832640227607205e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2254641258057330150164973433843452155232009681583050905550399458557126941497853232806334014703269603e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2360475720884925881580539738830093572012024162485856485613974712653546627243019666702904836835836072e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2376176601227851086722830167717452814836846810367599158215995631280835335070487840750421239628452270e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2382005445939933843659988418503656684093356069262317993257524956338275590041101050569009428193352371e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2384419169235315605535269562348458006973333200556008698543822798769741450130359222839946856017776574e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2431007739121873243331263486394085638096884194270101674004097829060031548768693191305694357247777346e-02) }}, 
+      {{ SC_(1.9508080482482910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2437508801776841503931807680295142938639719448531279010032010195899482047937342387190771017427394090e-02) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(6.0892598894871013831450310453855577024940199295839498702191855220058998766969059376364952526465284021e-04) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8552477503066093316653283632946784434348752481643564867235309304982560891773412550717031568541075705e-04) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3547481001847470306205437554767680175926460100401487634312607482107121403542105369607597913620486228e-04) }}, 
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+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7187366890979789886994424919757198431063606086845524871086681826444014144546460885653698813171873483e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7410410391314317327235243808230003063641913370466248328606151566540037142368309640948307733089157819e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7428627024087233594744881207353300006000606524950207103958084731385200535788238988081899365708614181e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7517497927491308313460905871910944558439108965006558155874933342489541271005569828949406095203595635e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7529832238099327981448373487368565869894878389079013255254799787854521106511736100337800130550804734e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7534351959075352602930158286289964102877576582018338135138282398495212502293273181665468958443704470e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7536214058405533351145775811408280041522270716058519266403220051159633550918364954505859587344152318e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7571031476501931637301192852028739334678122250513760833401608355268943614593156536569593782544447721e-03) }}, 
+      {{ SC_(2.5397357940673828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7575714835398346014438296247850916003189300937943203722758437029746167717384652465698091284467773426e-03) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(3.8940745658072282978586957911412357454682765821749814836616564829173079872316409867511611976849736342e-04) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.0186385594150413563720938913340836408702098697405640386356529741412088880349476855118149225684014609e-04) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.3360688311466125005252448740101520538894144350836290391278541005037227186243743866548835757888360652e-04) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.8838196992874145507812500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.2315251382848029096683072707480453985912558126336386527573914363988514243246183770185987113387535199e-04) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3199073192490712799823192285677346980855542442974978897968476665958917076394761827303266241868465945e-04) }}, 
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+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.0868916378637619572097460390852201239462222301832643217934940452073593117086045031650946336775855746e-03) }}, 
+      {{ SC_(2.7095394134521484375000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.4688143730163574218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.5110157901412780741426775042567283935747358445902234201572377288834365228433712285342965544034552748e-03) }}, 
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+
diff --git a/src/boost/libs/math/test/owens_t_T7.hpp b/src/boost/libs/math/test/owens_t_T7.hpp
new file mode 100644
index 000000000..b3ad30dd6
--- /dev/null
+++ b/src/boost/libs/math/test/owens_t_T7.hpp
@@ -0,0 +1,224 @@
+// Copyright (C) Benjamin Sobotta 2012
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_OWENS_T7_HPP
+#define BOOST_OWENS_T7_HPP
+
+// Reference:
+// Mike Patefield, David Tandy
+// FAST AND ACCURATE CALCULATION OF OWEN'S T-FUNCTION
+// Journal of Statistical Software, 5 (5), 1-25
+
+#ifdef _MSC_VER
+#  pragma once
+#endif
+
+#include <boost/math/special_functions/owens_t.hpp>
+#include <vector>
+#include <algorithm> // std::sort
+#include <boost/bind.hpp>
+#include <boost/bind/placeholders.hpp>
+
+namespace boost
+{
+  namespace math
+  {
+    namespace detail
+    {
+      template<typename ndx_type, typename data_type>
+      inline bool owens_t_sort_proxy(const ndx_type n1, const ndx_type n2, const data_type* data) { return (fabs(data[n1]) < fabs(data[n2])); }
+
+      // compute the value of Owen's T function with method T7 from the reference paper
+      template<typename RealType>
+      inline RealType compute_owens_t_T7(const RealType h, const RealType a)
+      {
+        BOOST_MATH_STD_USING
+        using namespace boost::math::constants;
+
+        std::vector<RealType> c2(51);
+
+        c2[0]=static_cast<RealType>(0.99999999999999999999999999999999999999868061520482714021759648020474317574987355923862368638038320094484952302876219e0l);
+        c2[1]=static_cast<RealType>(-0.99999999999999999999999999999999999302462011069054837422425677393793571720981603447930035285521866357878934009159708e0l);
+        c2[2]=static_cast<RealType>(0.9999999999999999999999999999999938559078263892797131217517182153540396811776160269133372859096210993958152102616265e0l);
+        c2[3]=static_cast<RealType>(-0.99999999999999999999999999999783757316880746021776281028307338046033395960167168255107746699076325159707117075122598e0l);
+        c2[4]=static_cast<RealType>(0.99999999999999999999999999959301304409247897363805160078169883190960201161021089063082244377785297302604378738778956e0l);
+        c2[5]=static_cast<RealType>(-0.99999999999999999999999995245835998362821388118964869664453661644738440917895538883200648244745024569685062708634168e0l);
+        c2[6]=static_cast<RealType>(0.99999999999999999999999622575084004275114986560329977419595335828482080658911071010175083376987487699799620433312026e0l);
+        c2[7]=static_cast<RealType>(-0.9999999999999999999997835456196743116277756586095640965807421017047019205312795102010127835367920317933410096951991e0l);
+        c2[8]=static_cast<RealType>(0.99999999999999999999063044410000386518700820850762955399774821040632831953277713720592510531609301137092442411088318e0l);
+        c2[9]=static_cast<RealType>(-0.99999999999999999968363056215229124110523314446131391646528327924749429301803531868618645140379927991069880419895362e0l);
+        c2[10]=static_cast<RealType>(0.99999999999999999145103710789254646427253519282003979608764987525701449150796674610676803428471393828460151017134006e0l);
+        c2[11]=static_cast<RealType>(-0.99999999999999981131055812853212338067344201452850197384362641710824830755936071166619436310647545618172487913130615e0l);
+        c2[12]=static_cast<RealType>(0.99999999999999654123165670138354353746969688832625358460636033129592270928035522003120035894014007078745281902561497e0l);
+        c2[13]=static_cast<RealType>(-0.99999999999994661543772980917477218111196118287898714561621502747335071313305657131504975341280407503235841894095032e0l);
+        c2[14]=static_cast<RealType>(0.9999999999992981439043273655170176041716503383856785977723125483146102600097712876017125231262708400720094556926045e0l);
+        c2[15]=static_cast<RealType>(-0.99999999999206265150568436336459788968621075287629010127877385312281458164262755824589807456902954264068398140350718e0l);
+        c2[16]=static_cast<RealType>(0.99999999992213502163371840879683818667748180414402080554120502891144910024410028330131981216472217247119418222397804e0l);
+        c2[17]=static_cast<RealType>(-0.99999999933259095924055744571071653706200038213621273711937864999491782183629569409353668088363952580491517608609879e0l);
+        c2[18]=static_cast<RealType>(0.99999999497015572069563854257687102391713999264054303202862355260549032899913629304955062400529548430606517184769124e0l);
+        c2[19]=static_cast<RealType>(-0.99999996648712934179852410529668328351470567694495362454934194838547830786603251986748376180326858512474939517328148e0l);
+        c2[20]=static_cast<RealType>(0.9999998016410566689368417618988041312715506400990955108339485167214078601378203496694653725800913994771609966243554e0l);
+        c2[21]=static_cast<RealType>(-0.9999989525985184659277351038817797931250021614576921513415321341983217728506335369734522548408960126473437428356652e0l);
+        c2[22]=static_cast<RealType>(0.99999504755520008311742537842275606593998257673570772153723704887194777830960070883905373411740901379060307967971713e0l);
+        c2[23]=static_cast<RealType>(-0.99997896168242457050517756812692812892733179258193505494454091938132703728342085231042113297420877668525201728601112e0l);
+        c2[24]=static_cast<RealType>(0.99991946779137118276149990348538316553731391341330104178195711109963439425910633064752492021322249165299888263409172e0l);
+        c2[25]=static_cast<RealType>(-0.99972148778885346568502104725962502476360296866194523161605564314646459144266349095901801601276421334075117884929242e0l);
+        c2[26]=static_cast<RealType>(0.9991276859682010382270359712512423427555252098639083241851998143073842159537070734558612169871757287024196969316524e0l);
+        c2[27]=static_cast<RealType>(-0.99752026434927262148166061506294447561314364149201350129770769406693673101306930831078789512571673723645189614485884e0l);
+        c2[28]=static_cast<RealType>(0.99358896672458664010385299342636899693001298318272470058323214841807825867323354755879957618925036849552478542814464e0l);
+        c2[29]=static_cast<RealType>(-0.98489603971030687415560911591294255813647866616337974199082847337212210737029861747833396359832470961032052017929136e0l);
+        c2[30]=static_cast<RealType>(0.96751068500593933205520070783164495637686016604265460899685963694355146172759956614360799629964537023691986327884468e0l);
+        c2[31]=static_cast<RealType>(-0.9360616426988023756922055734494146109996789121506654176278348120618330748262465556674776006234661241542758473118521e0l);
+        c2[32]=static_cast<RealType>(0.88462086639047762401913298378165508003735156726358522187746603832270096575743334309836954108840694198036767569315108e0l);
+        c2[33]=static_cast<RealType>(-0.80858877429268840241019894355701184332631739713578890873529014128055757110890871538802016131209054476205332440695604e0l);
+        c2[34]=static_cast<RealType>(0.70714608761601125771088731886413274896589865282669140675007048926200481310909899767964678381587391145800655465120571e0l);
+        c2[35]=static_cast<RealType>(-0.58515160223005410186594841297741982997622522778974325847124400853371098492516978008742019478185592841561858134639963e0l);
+        c2[36]=static_cast<RealType>(0.45317050454923571830339270216379220523529541036307428556285489535205431482111178945999365703295821120700802922701552e0l);
+        c2[37]=static_cast<RealType>(-0.32503812067644347537685664861030147676006324710175782617307839344555807653091746007670995202936607469695700327677892e0l);
+        c2[38]=static_cast<RealType>(0.2137534704367539657335116107238861128574908030994099713290249568609752278177667873985860406515292692728315916731017e0l);
+        c2[39]=static_cast<RealType>(-0.127619403804624293099162792279930050338998502678126917236608595894255012173888208013041488822409228894596510380150144e0l);
+        c2[40]=static_cast<RealType>(0.06848690630890464573940500271274680442209417344598560366267896451733825978600890476338760194302261371849816636335383e0l);
+        c2[41]=static_cast<RealType>(-0.032688749970534932162217917343517016881654494605298904939793624525513795530795862058337162798487051632431756396211348e0l);
+        c2[42]=static_cast<RealType>(0.013715287119044125499391779954972556538977518079926978123084819229658358422347583377635796490450010646568919625741353e0l);
+        c2[43]=static_cast<RealType>(-0.0049902360281804772302071182896105260677340309700627303663654639589340705520269439056577683691783146342849984775533766e0l);
+        c2[44]=static_cast<RealType>(0.00154866713536508358511616306566119586713663676744267610952381384231395851333350529444375690335427250570956017759427897e0l);
+        c2[45]=static_cast<RealType>(-4.0136222792839484462604207322390667014747359362667770129433998717936089480817561247228048128811298286479443203785308e-4l);
+        c2[46]=static_cast<RealType>(8.4429279202769263712337394035686562275089641577318336414305767736129198590671750045859928722396139236629554169757073e-5l);
+        c2[47]=static_cast<RealType>(-1.3837048406451028003397758396690378745165135180030260294919960014069368993089617158234925766366971794969129152002478e-5l);
+        c2[48]=static_cast<RealType>(1.6563766752141156889761471523635738102614710503912266484040958175597362783384628269667016371235475899745552923626272e-6l);
+        c2[49]=static_cast<RealType>(-1.2874491982958001084373112367555214480376326465550959775329113928120230317885310174458065240563391789639012991976545e-7l);
+        c2[50]=static_cast<RealType>(4.8740773419420086658863239448043342637632445767226310886251599519774455542302728072876112682268516221911975181091336e-9l);
+
+        const RealType hs = h*h;
+        const RealType as = a*a;
+
+        //RealType u = one_div_two_pi<RealType>() * a * exp(-half<RealType>()*hs*(static_cast<RealType>(1)+as));
+        RealType v = c2[0];
+
+        RealType val = v;
+        RealType last_val = val+1; // last_val must not be the same as val
+
+        int k = 0;
+
+        std::vector<RealType> memory;
+        memory.push_back(v);
+
+        while((val != last_val) || (k<51)) // use all c2
+        {
+          last_val = val;
+          k++;
+          const RealType u = pow(as,k);
+          if(k < static_cast<int>(c2.size()))
+          {
+            v = (hs*v + c2[k])/(static_cast<RealType>(2*k+1));
+          }
+          else
+          {
+            // assume that for numerical purposes c2[k]==0
+            v = hs*v/(static_cast<RealType>(2*k+1));
+          }
+          val += u*v;
+          if(val >= tools::max_value<RealType>())
+            break;
+          memory.push_back(u*v);
+        } // while(val != last_val)
+
+        std::vector<unsigned> ndx_4_sorted_data(memory.size());
+        for(unsigned i = 0; i != memory.size(); ++i)
+        {
+          ndx_4_sorted_data[i]=i;
+        }
+
+        std::sort(ndx_4_sorted_data.begin(), ndx_4_sorted_data.end(),
+                  boost::bind(owens_t_sort_proxy<typename std::vector<RealType>::size_type, RealType>, _1, _2, &memory[0]));
+
+        val = memory[ndx_4_sorted_data[0]];
+        for(unsigned i = 1; i != memory.size(); i++)
+        {
+          val+=memory[ndx_4_sorted_data[i]];
+        }
+
+        // split the exponential to avoid values that go below the minimum floating pt value
+        val *= exp(-half<RealType>()*hs*as);
+        val *= exp(-half<RealType>()*hs);
+        val *= one_div_two_pi<RealType>() * a;
+
+        return val;
+      } // RealType compute_owens_t_T7(const RealType h, const RealType a)
+
+      // compute Owen's T function, T(h,a), for arbitrary values of h and a
+     template<typename RealType, class Policy>
+     inline RealType owens_t_T7(RealType h, RealType a, const Policy&)
+     {
+        BOOST_MATH_STD_USING
+        // exploit that T(-h,a) == T(h,a)
+        h = fabs(h);
+
+        // Use equation (2) in the paper to remap the arguments
+        // such that h>=0 and 0<=a<=1 for the call of the actual
+        // computation routine.
+
+        const RealType fabs_a = fabs(a);
+        const RealType fabs_ah = fabs_a*h;
+
+        RealType val = 0.0; // avoid compiler warnings, 0.0 will be overwritten in any case
+
+        if(fabs_a <= 1)
+        {
+           val = compute_owens_t_T7(h, fabs_a);
+        } // if(fabs_a <= 1.0)
+        else
+        {
+           if( h <= 0.67 )
+           {
+              const RealType normh = owens_t_znorm1(h);
+              const RealType normah = owens_t_znorm1(fabs_ah);
+              val = static_cast<RealType>(1)/static_cast<RealType>(4) - normh*normah -
+                 compute_owens_t_T7(fabs_ah, static_cast<RealType>(1 / fabs_a));
+           } // if( h <= 0.67 )
+           else
+           {
+              const RealType normh = owens_t_znorm2(h);
+              const RealType normah = owens_t_znorm2(fabs_ah);
+              val = constants::half<RealType>()*(normh+normah) - normh*normah -
+                 compute_owens_t_T7(fabs_ah, static_cast<RealType>(1 / fabs_a));
+           } // else [if( h <= 0.67 )]
+        } // else [if(fabs_a <= 1)]
+
+        // exploit that T(h,-a) == -T(h,a)
+        if(a < 0)
+        {
+           return -val;
+        } // if(a < 0)
+
+        return val;
+      } // RealType owens_t(RealType h, RealType a)
+
+    } // namespace detail
+
+    template <class T1, class T2, class Policy>
+    inline typename tools::promote_args<T1, T2>::type owens_t_T7(T1 h, T2 a, const Policy& pol)
+    {
+       typedef typename tools::promote_args<T1, T2>::type result_type;
+       typedef typename policies::evaluation<result_type, Policy>::type value_type;
+       return policies::checked_narrowing_cast<result_type, Policy>(detail::owens_t_T7(static_cast<value_type>(h), static_cast<value_type>(a), pol), "boost::math::owens_t_T7<%1%>(%1%,%1%)");
+    }
+
+    template <class T1, class T2>
+    inline typename tools::promote_args<T1, T2>::type owens_t_T7(T1 h, T2 a)
+    {
+       return owens_t_T7(h, a, policies::policy<>());
+    }
+
+  } // namespace math
+} // namespace boost
+
+#endif
+
+
+
+
+
diff --git a/src/boost/libs/math/test/owens_t_large_data.ipp b/src/boost/libs/math/test/owens_t_large_data.ipp
new file mode 100644
index 000000000..2be92895a
--- /dev/null
+++ b/src/boost/libs/math/test/owens_t_large_data.ipp
@@ -0,0 +1,668 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 657> owens_t_large_data = {{
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.7544232754071888169814325928268239884486372691874342956812521082730648643186974640936808405777870468e-07) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(3.4468991818847944488358292096162674677254240401591803431829935684111943192188266678541525762196399584e-07) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.1570593987311932421290676513166688187937163430741211292434026295198499510842189554839176055050374544e-06) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(2.2281699574525694076153268820857826830055812284202546456173259636892591278545272175070257347473957471e-06) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(2.7368999149782398254303511225955773937565838792307860324522944171713046852204658446919929065792444550e-06) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.5628368807778517977859121445879678015097215977830989982024716756760879493692438419837710322114090046e-06) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(1.8586622549454356237914810697873043993635206365954012730510556735989900392568584658824015899162236906e-05) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(2.3722363684038706237945294842381666580083784201001212579385105433029945599357139440208530502011634474e-05) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(6.3427244734060608269367960782024063961865409580776331380624911803749846156793249487878248545601531213e-05) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(1.0166074856388151418367878313779849987420034318618585018302377265757651137097414111936620111406427125e-04) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(1.7058487265854326602682518279285919877142362926912968296718492493077609349871988400610440167118741999e-04) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(3.0219145119190216064453125000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(4.8095116816577310187698736588393620680459824561821356129805868982439168323299871013712685313280875065e-04) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(4.9941334873437881469726562500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(7.9483442292800033761621353006620921283539059944892037051546280947997409804311231554324236901282463379e-04) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.2842318117618560791015625000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(1.4775889320683304881597520708559050400479343071447923717275214173990753020524212319899235756498695064e-03) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.4170018732547760009765625000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(3.8460291355353431423529489109702508499010549722887836494454489720400429148478458034710749752701465677e-03) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(6.2277540564537048339843750000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.8989939107544875264882926761541078102873613724757945283132599714888310624832442855939190526870888106e-03) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.2234416604042053222656250000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.9375390752352412863732016249824209087483013904103071613680871378667263275228741402793087929136772709e-02) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.4955767393112182617187500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.8923300996768761237101143353675181372107282287973902962217761551716451429685664617055964579169309354e-02) }},
+      {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(4.9122214317321777343750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.2670257957136651636798532116450898262892417529230686056739100208577508554316612972269210305616970946e-02) }},
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+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.0219145119190216064453125000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.3089067651825001242423236192754865149258279972775323109166660247037598379950751785021399069180527750e-7364236)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(4.9941334873437881469726562500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.3089067651825001242423236192754865149258279972775323109166660247037631650829003683555763256858199512e-7364236)) }},
+      {{ SC_(5.8235332031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(9.2842318117618560791015625000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.3089067651825001242423236192754865149258279972775323109166660247037631650829003683555763256858199512e-7364236)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.1460910126808256437221882864022983158438922650000967743864366525786529953482033115320926210514190529e-18034605)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.6855661004158066957943934203384618739066807123222414494049700750977677900290939349719070748778501628e-18034605)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(9.0089355574084103861847668715827665447985524719642752183991709406249330637444297990020228815682957568e-18034605)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(1.7314373933567563034602442003186957335351743568650079511748232590886004613313821339535879806965627271e-18034604)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(2.1238291065279985182469561750406425281625133126139925168706952109487228868188858453351513019793341727e-18034604)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(7.0949429779646256395875711680093090195119043237924916717227875947607106837185843925800758149036661234e-18034604)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.2156438494145304799031308191228917318034309870971173838131107438974843026015387093947400415029086379e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.4081055225287483129836024489937471020027347843038372498027258579723331285416090282955036274034849093e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.7049719529195415909040690657184177013124539889410171908393326581375170865999589467830086225856426259e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054517905138966228117720801844351567884321129433005513317115322908076203944163894153753323401237178e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054518004808365951032784201664373345093212443227152085026878174600621679781157245312813329607041176e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(3.0219145119190216064453125000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054518004808365951035423912776945675490572382395279302460767285286806703096097254342933798706666437e-18034603)) }},
+      {{ SC_(9.1133085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+03), SC_(4.9941334873437881469726562500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(1.7054518004808365951035423912776945675490572382395279302460767285286806703096097254342933798706666437e-18034603)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.2365386985485824452046302463808405986528968739910240838150034067616028395262947707375748177185020974e-213926796)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(2.7980372303175708629519503157005395955035480860084504850660947581670772932100736721862285533753064708e-213926796)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(BOOST_MATH_SMALL_CONSTANT(9.3187806748346024411523370745020464683699718722277865926945189587484276690724617184400830103281123912e-213926796)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(1.7535164229501810134504007955113598900511342494316788134248364003277800751640283235910734508850774472e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(2.1200035538641165381014264977857554068500018403848883400543495607177000965263856118008476656721632925e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(BOOST_MATH_SMALL_CONSTANT(4.8565971982391923686204287957318562939706150528989986320223263391446488385670167788549721224249706168e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1615092093123733131361051696873812485255649847963346073902972494720967345980619337208590622361446865e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627686350879215611350573193235540804020951109258981251983133082916047387528683970349337461226953642e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627835650444864618495857270828390328438532868362855116491991490232362371244417345061392918664400449e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627835650444864618495857270828390674008441557196974871479139803402308298850057953535052644800142655e-213926795)) }},
+      {{ SC_(3.1387406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+04), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(BOOST_MATH_SMALL_CONSTANT(5.1627835650444864618495857270828390674008441557196974871479139803402308298850057953535053712048715547e-213926795)) }}
+   }};
+
diff --git a/src/boost/libs/math/test/pch.hpp b/src/boost/libs/math/test/pch.hpp
new file mode 100644
index 000000000..1056bd859
--- /dev/null
+++ b/src/boost/libs/math/test/pch.hpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_BUILD_PCH_ENABLED
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions.hpp>
+#include <boost/math/distributions.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/type_traits.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+
+#include <iostream>
+#include <iomanip>
+
+#endif
diff --git a/src/boost/libs/math/test/pch_light.hpp b/src/boost/libs/math/test/pch_light.hpp
new file mode 100644
index 000000000..7d1174a2d
--- /dev/null
+++ b/src/boost/libs/math/test/pch_light.hpp
@@ -0,0 +1,21 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_BUILD_PCH_ENABLED
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/type_traits.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+
+#include <iostream>
+#include<iomanip>
+
+#endif
diff --git a/src/boost/libs/math/test/pchip_test.cpp b/src/boost/libs/math/test/pchip_test.cpp
new file mode 100644
index 000000000..aeaf81b89
--- /dev/null
+++ b/src/boost/libs/math/test/pchip_test.cpp
@@ -0,0 +1,252 @@
+/*
+ * Copyright Nick Thompson, 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/math/interpolators/pchip.hpp>
+#include <boost/circular_buffer.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::interpolators::pchip;
+
+template<typename Real>
+void test_constant()
+{
+
+    std::vector<Real> x{0,1,2,3, 9, 22, 81};
+    std::vector<Real> y(x.size());
+    for (auto & t : y) {
+        t = 7;
+    }
+
+    auto x_copy = x;
+    auto y_copy = y;
+    auto pchip_spline = pchip(std::move(x_copy), std::move(y_copy));
+    //std::cout << "Constant value pchip spline = " << pchip_spline << "\n";
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(Real(7), pchip_spline(t), 2);
+        CHECK_ULP_CLOSE(Real(0), pchip_spline.prime(t), 2);
+    }
+
+    boost::circular_buffer<Real> x_buf(x.size());
+    for (auto & t : x) {
+        x_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> y_buf(x.size());
+    for (auto & t : y) {
+        y_buf.push_back(t);
+    }
+
+    auto circular_pchip_spline = pchip(std::move(x_buf), std::move(y_buf));
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(Real(7), circular_pchip_spline(t), 2);
+        CHECK_ULP_CLOSE(Real(0), pchip_spline.prime(t), 2);
+    }
+
+    circular_pchip_spline.push_back(x.back() + 1, 7);
+    CHECK_ULP_CLOSE(Real(0), circular_pchip_spline.prime(x.back()+1), 2);
+
+}
+
+template<typename Real>
+void test_linear()
+{
+    std::vector<Real> x{0,1,2,3};
+    std::vector<Real> y{0,1,2,3};
+
+    auto x_copy = x;
+    auto y_copy = y;
+    auto pchip_spline = pchip(std::move(x_copy), std::move(y_copy));
+
+    CHECK_ULP_CLOSE(y[0], pchip_spline(x[0]), 0);
+    CHECK_ULP_CLOSE(Real(1)/Real(2), pchip_spline(Real(1)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[1], pchip_spline(x[1]), 0);
+    CHECK_ULP_CLOSE(Real(3)/Real(2), pchip_spline(Real(3)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[2], pchip_spline(x[2]), 0);
+    CHECK_ULP_CLOSE(Real(5)/Real(2), pchip_spline(Real(5)/Real(2)), 10);
+    CHECK_ULP_CLOSE(y[3], pchip_spline(x[3]), 0);
+
+    x.resize(45);
+    y.resize(45);
+    for (size_t i = 0; i < x.size(); ++i) {
+        x[i] = i;
+        y[i] = i;
+    }
+
+    x_copy = x;
+    y_copy = y;
+    pchip_spline = pchip(std::move(x_copy), std::move(y_copy));
+    for (Real t = 0; t < x.back(); t += 0.5) {
+        CHECK_ULP_CLOSE(t, pchip_spline(t), 0);
+        CHECK_ULP_CLOSE(Real(1), pchip_spline.prime(t), 0);
+    }
+
+    x_copy = x;
+    y_copy = y;
+    // Test endpoint derivatives:
+    pchip_spline = pchip(std::move(x_copy), std::move(y_copy), Real(1), Real(1));
+    for (Real t = 0; t < x.back(); t += 0.5) {
+        CHECK_ULP_CLOSE(t, pchip_spline(t), 0);
+        CHECK_ULP_CLOSE(Real(1), pchip_spline.prime(t), 0);
+    }
+
+
+    boost::circular_buffer<Real> x_buf(x.size());
+    for (auto & t : x) {
+        x_buf.push_back(t);
+    }
+
+    boost::circular_buffer<Real> y_buf(x.size());
+    for (auto & t : y) {
+        y_buf.push_back(t);
+    }
+
+    auto circular_pchip_spline = pchip(std::move(x_buf), std::move(y_buf));
+
+    for (Real t = x[0]; t <= x.back(); t += 0.25) {
+        CHECK_ULP_CLOSE(t, circular_pchip_spline(t), 2);
+        CHECK_ULP_CLOSE(Real(1), circular_pchip_spline.prime(t), 2);
+    }
+
+    circular_pchip_spline.push_back(x.back() + 1, y.back()+1);
+
+    CHECK_ULP_CLOSE(Real(y.back() + 1), circular_pchip_spline(Real(x.back()+1)), 2);
+    CHECK_ULP_CLOSE(Real(1), circular_pchip_spline.prime(Real(x.back()+1)), 2);
+
+}
+
+template<typename Real>
+void test_interpolation_condition()
+{
+    for (size_t n = 4; n < 50; ++n) {
+        std::vector<Real> x(n);
+        std::vector<Real> y(n);
+        std::default_random_engine rd;
+        std::uniform_real_distribution<Real> dis(0,1);
+        Real x0 = dis(rd);
+        x[0] = x0;
+        y[0] = dis(rd);
+        for (size_t i = 1; i < n; ++i) {
+            x[i] = x[i-1] + dis(rd);
+            y[i] = dis(rd);
+        }
+
+        auto x_copy = x;
+        auto y_copy = y;
+        auto s = pchip(std::move(x_copy), std::move(y_copy));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size(); ++i) {
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+        }
+
+        x_copy = x;
+        y_copy = y;
+        // The interpolation condition is not affected by the endpoint derivatives, even though these derivatives might be super weird:
+        s = pchip(std::move(x_copy), std::move(y_copy), Real(0), Real(0));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size(); ++i) {
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+        }
+
+    }
+}
+
+template<typename Real>
+void test_monotonicity()
+{
+    for (size_t n = 4; n < 50; ++n) {
+        std::vector<Real> x(n);
+        std::vector<Real> y(n);
+        std::default_random_engine rd;
+        std::uniform_real_distribution<Real> dis(0,1);
+        Real x0 = dis(rd);
+        x[0] = x0;
+        y[0] = dis(rd);
+        // Monotone increasing:
+        for (size_t i = 1; i < n; ++i) {
+            x[i] = x[i-1] + dis(rd);
+            y[i] = y[i-1] + dis(rd);
+        }
+
+        auto x_copy = x;
+        auto y_copy = y;
+        auto s = pchip(std::move(x_copy), std::move(y_copy));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size() - 1; ++i) {
+            Real tmin = x[i];
+            Real tmax = x[i+1];
+            Real val = y[i];
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+            for (Real t = tmin; t < tmax; t += (tmax-tmin)/16) {
+                Real greater_val = s(t);
+                assert(val <= greater_val);
+                val = greater_val;
+            }
+        }
+
+
+        x[0] = dis(rd);
+        y[0] = dis(rd);
+        // Monotone decreasing:
+        for (size_t i = 1; i < n; ++i) {
+            x[i] = x[i-1] + dis(rd);
+            y[i] = y[i-1] - dis(rd);
+        }
+
+        x_copy = x;
+        y_copy = y;
+        s = pchip(std::move(x_copy), std::move(y_copy));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size() - 1; ++i) {
+            Real tmin = x[i];
+            Real tmax = x[i+1];
+            Real val = y[i];
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+            for (Real t = tmin; t < tmax; t += (tmax-tmin)/16) {
+                Real lesser_val = s(t);
+                assert(val >= lesser_val);
+                val = lesser_val;
+            }
+        }
+
+    }
+}
+
+
+int main()
+{
+    test_constant<float>();
+    test_linear<float>();
+    test_interpolation_condition<float>();
+    test_monotonicity<float>();
+
+    test_constant<double>();
+    test_linear<double>();
+    test_interpolation_condition<double>();
+    test_monotonicity<double>();
+
+    test_constant<long double>();
+    test_linear<long double>();
+    test_interpolation_condition<long double>();
+    test_monotonicity<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_constant<float128>();
+    test_linear<float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/poisson_quantile.ipp b/src/boost/libs/math/test/poisson_quantile.ipp
new file mode 100644
index 000000000..88a00ae42
--- /dev/null
+++ b/src/boost/libs/math/test/poisson_quantile.ipp
@@ -0,0 +1,632 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 619> poisson_quantile_data = {{
+      {{ SC_(2.539736270904541015625), SC_(0.097540400922298431396484375), SC_(0.1236392659323415267286721455855935332272165776019), SC_(4.1794244675777288954971650240102219690023733491107) }}, 
+      {{ SC_(2.539736270904541015625), SC_(0.12698681652545928955078125), SC_(0.29692152360861802647109703200927257466043783201072), SC_(3.8759279753758017243263560996428606489658831749751) }}, 
+      {{ SC_(2.539736270904541015625), SC_(0.135477006435394287109375), SC_(0.34320650665410472759846385302850183249926507900385), SC_(3.7989374337321363992500232228194835442428384328783) }}, 
+      {{ SC_(2.539736270904541015625), SC_(0.188381969928741455078125), SC_(0.60664513287123148932168996645967883616307670876159), SC_(3.3882631942049236108254497545125740345098947059879) }}, 
+      {{ SC_(2.539736270904541015625), SC_(0.22103404998779296875), SC_(0.75418046769318689024626280510389922651894870065918), SC_(3.1760120980068421525868462530802458163753626136545) }}, 
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+      {{ SC_(13472.287109375), SC_(0.835008561611175537109375), SC_(13584.84783738172991634549579798610296097967425791), SC_(13358.709368495873114850112384880806538400658276777) }}, 
+      {{ SC_(13472.287109375), SC_(0.905791938304901123046875), SC_(13624.572865617532065585542679501501354564267191607), SC_(13319.24467375842712259059005432054226850476838892) }}, 
+      {{ SC_(13472.287109375), SC_(0.9133758544921875), SC_(13629.997967694922530299857221893979430454373232789), SC_(13313.861122058286460766002537973251312862384527324) }}, 
+      {{ SC_(13472.287109375), SC_(0.957506835460662841796875), SC_(13672.040076812056139173655258967916835983691304596), SC_(13272.189769794293141289802429921883590322240623341) }}, 
+      {{ SC_(13472.287109375), SC_(0.964888513088226318359375), SC_(13682.307154187056918977757761381544778907402334372), SC_(13262.026338628394852723091843869472676980570491091) }}, 
+      {{ SC_(13472.287109375), SC_(0.967694938182830810546875), SC_(13686.679853573044805715245773961497453039600405299), SC_(13257.699341444709197060065421653399200238946200322) }}, 
+      {{ SC_(13472.287109375), SC_(0.968867778778076171875), SC_(13688.600726767116170546457425717608064097667372415), SC_(13255.798839109163404233963534674631378011190564693) }}, 
+      {{ SC_(13472.287109375), SC_(0.992881298065185546875), SC_(13757.132735620495312173288987252384908485800121366), SC_(13188.11099623988365459730671377960849979963440631) }}, 
+      {{ SC_(13472.287109375), SC_(0.996461331844329833984375), SC_(13785.42461768262875823645818711186354219560847756), SC_(13160.234048332580281387288998623329226376221006978) }}, 
+      {{ SC_(21533.0078125), SC_(0.097540400922298431396484375), SC_(21342.489530774528422442751297452797856912271534306), SC_(21722.752369341177445966709513523872359998152638084) }}, 
+      {{ SC_(21533.0078125), SC_(0.12698681652545928955078125), SC_(21365.163134860999454698235267807132982623870326046), SC_(21699.952927406596208517823030105742141485690107312) }}, 
+      // This next one is disabled, because rounding the expected result to float 
+      // results in a change of value when rounding the result.
+      // {{ SC_(21533.0078125), SC_(0.135477006435394287109375), SC_(21371.000635839925468224783394436264380332621650997), SC_(21694.085625753365583876792313211090140641237364813) }}, 
+      {{ SC_(21533.0078125), SC_(0.188381969928741455078125), SC_(21402.770687925746754018108265475209057176344684766), SC_(21662.172014146846950443900950560166812044088262695) }}, 
+      {{ SC_(21533.0078125), SC_(0.22103404998779296875), SC_(21419.638962869415971010599238922528933576697585819), SC_(21645.240296989914953912074020329465712841475123166) }}, 
+      {{ SC_(21533.0078125), SC_(0.278498232364654541015625), SC_(21446.216338805119994100950385012299870473665630669), SC_(21618.580928476108223370743123436382577519047601928) }}, 
+      {{ SC_(21533.0078125), SC_(0.308167040348052978515625), SC_(21458.857981420800853369438097216364035795967755877), SC_(21605.907993215065680862411562940327751235639835825) }}, 
+      {{ SC_(21533.0078125), SC_(0.546881496906280517578125), SC_(21549.627545070877730360754111396995498261412405609), SC_(21515.059369307696871271661919837674378168993970665) }}, 
+      {{ SC_(21533.0078125), SC_(0.54722058773040771484375), SC_(21549.753179571013263889918578328687169704467238534), SC_(21514.933802263490359509166807428906690586363289475) }}, 
+      {{ SC_(21533.0078125), SC_(0.6323592662811279296875), SC_(21581.974601302864615857244782514336741884395734384), SC_(21482.745794398686763439050080601847328209204644086) }}, 
+      {{ SC_(21533.0078125), SC_(0.814723670482635498046875), SC_(21663.872367350387475035008256452069501897450083904), SC_(21401.077193458745796458879598059735976167554307072) }}, 
+      {{ SC_(21533.0078125), SC_(0.835008561611175537109375), SC_(21675.446827929503803640203376831878825072934453297), SC_(21389.551784654799299671107702856803076075076776328) }}, 
+      {{ SC_(21533.0078125), SC_(0.905791938304901123046875), SC_(21725.634765736413776389143291809050357300699306627), SC_(21339.6241795405693269559823355712767928082592718) }}, 
+      {{ SC_(21533.0078125), SC_(0.9133758544921875), SC_(21732.48796045968784137781373249147199899474733742), SC_(21332.8125350427175652901170857351517464592136753) }}, 
+      {{ SC_(21533.0078125), SC_(0.957506835460662841796875), SC_(21785.590741330979888005344804033132087524399988861), SC_(21280.080509386589379665484620938712973319935895665) }}, 
+      {{ SC_(21533.0078125), SC_(0.964888513088226318359375), SC_(21798.557218003432867406166855932357022109497728002), SC_(21267.217678374239705649203964780441964266860151737) }}, 
+      {{ SC_(21533.0078125), SC_(0.967694938182830810546875), SC_(21804.079374038028385048187041100264350787618846948), SC_(21261.741224287222313604821025048565879887594278124) }}, 
+      {{ SC_(21533.0078125), SC_(0.968867778778076171875), SC_(21806.505150808045188175269798380893915291446599662), SC_(21259.335818259699059193512358302672174062051718198) }}, 
+      {{ SC_(21533.0078125), SC_(0.992881298065185546875), SC_(21893.035484643765250702345204307305220150252817399), SC_(21173.649644247497441133933107438101115419091883006) }}, 
+      {{ SC_(21533.0078125), SC_(0.996461331844329833984375), SC_(21928.748866501301794010747676997623434830926924354), SC_(21138.35119254861052629794920186014308896076971475) }}, 
+      {{ SC_(36064.203125), SC_(0.097540400922298431396484375), SC_(35817.756768465760157590621734165018504764822234946), SC_(36309.87575645560720888470897187326305111307971067) }}, 
+      {{ SC_(36064.203125), SC_(0.12698681652545928955078125), SC_(35847.118451935014429046646043595383698848956280643), SC_(36280.388235416270565451383221510177119530752580683) }}, 
+      {{ SC_(36064.203125), SC_(0.135477006435394287109375), SC_(35854.677469154058812990446398308816060488884214194), SC_(36272.799417582977292393610184889120531754662042693) }}, 
+      {{ SC_(36064.203125), SC_(0.188381969928741455078125), SC_(35895.813963688688899347185287707174915963110925951), SC_(36231.519363785909686114717073499040831813259848196) }}, 
+      {{ SC_(36064.203125), SC_(0.22103404998779296875), SC_(35917.653456211419739834853063677815640317758960528), SC_(36209.61642914766359611814946788126355540985450165) }}, 
+      {{ SC_(36064.203125), SC_(0.278498232364654541015625), SC_(35952.060752264711660225756482245675795827380357506), SC_(36175.127140627721533908135757767552638737317829985) }}, 
+      {{ SC_(36064.203125), SC_(0.308167040348052978515625), SC_(35968.425594177917174114988015625463665216529807154), SC_(36158.731006107268024793529385791325197439496378759) }}, 
+      {{ SC_(36064.203125), SC_(0.546881496906280517578125), SC_(36085.90704613659583139939209269495550265372509376), SC_(36041.170493976707019744110284599564890573120559004) }}, 
+      {{ SC_(36064.203125), SC_(0.54722058773040771484375), SC_(36086.069626640932451371680215150290901608708630273), SC_(36041.007980928233195582697368438443122786769469145) }}, 
+      {{ SC_(36064.203125), SC_(0.6323592662811279296875), SC_(36127.764204300101112509183105856533197297089468966), SC_(35999.346817101912053061808800875199004294182125904) }}, 
+      {{ SC_(36064.203125), SC_(0.814723670482635498046875), SC_(36233.718875717808828467602793313871953177027240436), SC_(35893.621310482160314578578260464699451147711607827) }}, 
+      {{ SC_(36064.203125), SC_(0.835008561611175537109375), SC_(36248.690808962376388084529607619710721880422487915), SC_(35878.698428929463581276848946039910866441775986925) }}, 
+      {{ SC_(36064.203125), SC_(0.905791938304901123046875), SC_(36313.603520004301043829040859165025143758574372428), SC_(35814.04605003764537924388506916510248513184115016) }}, 
+      {{ SC_(36064.203125), SC_(0.9133758544921875), SC_(36322.466512379710977125706991116296873669955779604), SC_(35805.224607785412252967347192248072950856592829061) }}, 
+      {{ SC_(36064.203125), SC_(0.957506835460662841796875), SC_(36391.135299980195669560575736147367436281777633283), SC_(35736.926574297038969011121854824598284630491333953) }}, 
+      {{ SC_(36064.203125), SC_(0.964888513088226318359375), SC_(36407.900717612615585771720933010639586549398001689), SC_(35720.264801955017393133538609471435523920615869955) }}, 
+      {{ SC_(36064.203125), SC_(0.967694938182830810546875), SC_(36415.040536152281865027842381342733053433785349414), SC_(35713.170685191394470780844154374449975091285878881) }}, 
+      {{ SC_(36064.203125), SC_(0.968867778778076171875), SC_(36418.176877787056615649047742815339774220928179991), SC_(35710.054714220975799133006437370089582352859367611) }}, 
+      {{ SC_(36064.203125), SC_(0.992881298065185546875), SC_(36530.036726520261049674022412341545736190010493948), SC_(35599.039021162752923959319339473143116039188421182) }}, 
+      {{ SC_(36064.203125), SC_(0.996461331844329833984375), SC_(36576.19456101664404260142699288335175602354959484), SC_(35553.29611413405182964733910119676514324895954306) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/polynomial_concept_check.cpp b/src/boost/libs/math/test/polynomial_concept_check.cpp
new file mode 100644
index 000000000..35b5bc33b
--- /dev/null
+++ b/src/boost/libs/math/test/polynomial_concept_check.cpp
@@ -0,0 +1,57 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/multiprecision/cpp_int.hpp>
+
+template <class T>
+bool check_concepts()
+{
+   boost::math::tools::polynomial<T> a(2), b(3), c(4);
+
+   a += b;
+   a -= b;
+   a *= b;
+   a /= b;
+   a %= b;
+   a = c;
+   a += b + c;
+   a += b - c;
+   a += b * c;
+   a += b / c;
+   a += b % c;
+
+   int i = 4;
+
+   a += i;
+   a -= i;
+   a *= i;
+   a /= i;
+   a %= i;
+   a += b + i;
+   a += i + b;
+   a += b - i;
+   a += i - b;
+   a += b * i;
+   a += i * b;
+   a += b / i;
+   a += b % i;
+
+   bool bb = false;
+   bb |= a == b;
+   bb |= a != b;
+
+   return bb;
+}
+
+int main()
+{
+   check_concepts<int>();
+   check_concepts<boost::multiprecision::cpp_int>();
+   return 0;
+}
+
diff --git a/src/boost/libs/math/test/pow_test.cpp b/src/boost/libs/math/test/pow_test.cpp
new file mode 100644
index 000000000..d004f0d9b
--- /dev/null
+++ b/src/boost/libs/math/test/pow_test.cpp
@@ -0,0 +1,226 @@
+//  Boost pow_test.cpp test file
+//  Tests the pow function
+
+//  (C) Copyright Bruno Lalande 2008.
+//  Distributed under the Boost Software License, Version 1.0.
+//  (See accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+#include <string>
+#include <iostream>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/typeof/typeof.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/static_assert.hpp>
+
+#include <boost/math/special_functions/pow.hpp>
+
+#include BOOST_TYPEOF_INCREMENT_REGISTRATION_GROUP()
+BOOST_TYPEOF_REGISTER_TYPE(boost::math::concepts::real_concept)
+
+using namespace boost;
+using namespace boost::math;
+
+template <int N, class T>
+void test_pow(T base)
+{
+    typedef typename tools::promote_args<T>::type result_type;
+
+    BOOST_MATH_STD_USING
+
+    if ((base == 0) && N < 0)
+    {
+       BOOST_MATH_CHECK_THROW(math::pow<N>(base), std::overflow_error);
+    }
+    else
+    {
+       BOOST_CHECK_CLOSE(math::pow<N>(base),
+              pow(static_cast<result_type>(base), static_cast<result_type>(N)),
+              boost::math::tools::epsilon<result_type>() * 100 * 400); // 400 eps as a %
+    }
+}
+
+template <int N, class T>
+void test_with_big_bases()
+{
+    for (T base = T(); base < T(1000); ++base)
+        test_pow<N>(base);
+}
+
+template <int N, class T>
+void test_with_small_bases()
+{
+    T base = 0.9f;
+    for (int i = 0; i < 10; ++i)
+    {
+        base += base/50;
+        test_pow<N>(base);
+    }
+}
+
+template <class T, int Factor>
+void test_with_small_exponents()
+{
+    test_with_big_bases<0, T>();
+    test_with_big_bases<Factor*1, T>();
+    test_with_big_bases<Factor*2, T>();
+    test_with_big_bases<Factor*3, T>();
+    test_with_big_bases<Factor*5, T>();
+    test_with_big_bases<Factor*6, T>();
+    test_with_big_bases<Factor*7, T>();
+    test_with_big_bases<Factor*8, T>();
+    test_with_big_bases<Factor*9, T>();
+    test_with_big_bases<Factor*10, T>();
+    test_with_big_bases<Factor*11, T>();
+    test_with_big_bases<Factor*12, T>();
+}
+
+template <class T, int Factor>
+void test_with_big_exponents()
+{
+    test_with_small_bases<Factor*50, T>();
+    test_with_small_bases<Factor*100, T>();
+    test_with_small_bases<Factor*150, T>();
+    test_with_small_bases<Factor*200, T>();
+    test_with_small_bases<Factor*250, T>();
+    test_with_small_bases<Factor*300, T>();
+    test_with_small_bases<Factor*350, T>();
+    test_with_small_bases<Factor*400, T>();
+    test_with_small_bases<Factor*450, T>();
+    test_with_small_bases<Factor*500, T>();
+}
+
+
+void test_return_types()
+{
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>('\1')), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(L'\2')), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(3)), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(4u)), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(5ul)), double>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(6.0f)), float>::value));
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(7.0)), double>::value));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    BOOST_STATIC_ASSERT((is_same<BOOST_TYPEOF(pow<2>(7.0l)), long double>::value));
+#endif
+}
+
+
+namespace boost { namespace math { namespace policies {
+template <class T>
+T user_overflow_error(const char*, const char*, const T&)
+{ return T(123.45); }
+}}}
+
+namespace boost { namespace math { namespace policies {
+template <class T>
+T user_indeterminate_result_error(const char*, const char*, const T&)
+{ return T(456.78); }
+}}}
+
+
+void test_error_policy()
+{
+    using namespace policies;
+
+    BOOST_CHECK(pow<-2>(
+                    0.0,
+                    policy< ::boost::math::policies::overflow_error<user_error> >()
+                )
+                == 123.45);
+
+    BOOST_CHECK(pow<0>(
+                    0.0,
+                    policy< ::boost::math::policies::indeterminate_result_error<user_error> >()
+                )
+                == 456.78);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    using namespace std;
+
+    cout << "Testing with integral bases and positive small exponents" << endl;
+    test_with_small_exponents<int, 1>();
+    cout << "Testing with integral bases and negative small exponents" << endl;
+    test_with_small_exponents<int, -1>();
+
+    cout << "Testing with float precision bases and positive small exponents" << endl;
+    test_with_small_exponents<float, 1>();
+    cout << "Testing with float precision bases and negative small exponents" << endl;
+    test_with_small_exponents<float, -1>();
+
+    cout << "Testing with float precision bases and positive big exponents" << endl;
+    test_with_big_exponents<float, 1>();
+    cout << "Testing with float precision bases and negative big exponents" << endl;
+    test_with_big_exponents<float, -1>();
+
+     cout << "Testing with double precision bases and positive small exponents" << endl;
+    test_with_small_exponents<double, 1>();
+    cout << "Testing with double precision bases and negative small exponents" << endl;
+    test_with_small_exponents<double, -1>();
+
+    cout << "Testing with double precision bases and positive big exponents" << endl;
+    test_with_big_exponents<double, 1>();
+    cout << "Testing with double precision bases and negative big exponents" << endl;
+    test_with_big_exponents<double, -1>();
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    cout << "Testing with long double precision bases and positive small exponents" << endl;
+    test_with_small_exponents<long double, 1>();
+    cout << "Testing with long double precision bases and negative small exponents" << endl;
+    test_with_small_exponents<long double, -1>();
+
+    cout << "Testing with long double precision bases and positive big exponents" << endl;
+    test_with_big_exponents<long double, 1>();
+    cout << "Testing with long double precision bases and negative big exponents" << endl;
+    test_with_big_exponents<long double, -1>();
+
+    cout << "Testing with concepts::real_concept precision bases and positive small exponents" << endl;
+    test_with_small_exponents<boost::math::concepts::real_concept, 1>();
+    cout << "Testing with concepts::real_concept precision bases and negative small exponents" << endl;
+    test_with_small_exponents<boost::math::concepts::real_concept, -1>();
+
+    cout << "Testing with concepts::real_concept precision bases and positive big exponents" << endl;
+    test_with_big_exponents<boost::math::concepts::real_concept, 1>();
+    cout << "Testing with concepts::real_concept precision bases and negative big exponents" << endl;
+    test_with_big_exponents<boost::math::concepts::real_concept, -1>();
+#endif
+
+    test_return_types();
+
+    test_error_policy();
+}
+
+/*
+
+  Running 1 test case...
+  Testing with integral bases and positive small exponents
+  Testing with integral bases and negative small exponents
+  Testing with float precision bases and positive small exponents
+  Testing with float precision bases and negative small exponents
+  Testing with float precision bases and positive big exponents
+  Testing with float precision bases and negative big exponents
+  Testing with double precision bases and positive small exponents
+  Testing with double precision bases and negative small exponents
+  Testing with double precision bases and positive big exponents
+  Testing with double precision bases and negative big exponents
+  Testing with long double precision bases and positive small exponents
+  Testing with long double precision bases and negative small exponents
+  Testing with long double precision bases and positive big exponents
+  Testing with long double precision bases and negative big exponents
+  Testing with concepts::real_concept precision bases and positive small exponents
+  Testing with concepts::real_concept precision bases and negative small exponents
+  Testing with concepts::real_concept precision bases and positive big exponents
+  Testing with concepts::real_concept precision bases and negative big exponents
+  
+  *** No errors detected
+
+  */
diff --git a/src/boost/libs/math/test/powm1_data.ipp b/src/boost/libs/math/test/powm1_data.ipp
new file mode 100644
index 000000000..46b0984ad
--- /dev/null
+++ b/src/boost/libs/math/test/powm1_data.ipp
@@ -0,0 +1,5468 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+static const boost::array<boost::array<typename table_type<T>::type, 3>, 5456> powm1_big_data = {{
+   {{ SC_(1.40358693897724151611328125000000000e-02), SC_(-9.68600749969482421875000000000000000e-01), SC_(6.13139649749185859889568752274202153e+01) }},
+   {{ SC_(1.37798525393009185791015625000000000e-02), SC_(-4.72685337066650390625000000000000000e-01), SC_(6.57795125861153135596682898302650714e+00) }},
+   {{ SC_(1.52787789702415466308593750000000000e-02), SC_(-9.95417833328247070312500000000000000e-01), SC_(6.32082071148443988316942482481809539e+01) }},
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+   {{ SC_(3.92699003219604492187500000000000000e-01), SC_(-2.00084991455078125000000000000000000e+01), SC_(1.32511681005994133513825663885108569e+08) }},
+   {{ SC_(3.92699003219604492187500000000000000e-01), SC_(2.00084915161132812500000000000000000e+01), SC_(-9.99999992453441717948213899270564454e-01) }},
+   {{ SC_(4.30198628547718840773584982070004252e-42), SC_(-1.96349561214447021484375000000000000e-01), SC_(1.32513746693747491403890537797416490e+08) }},
+   {{ SC_(1.96349501609802246093750000000000000e-01), SC_(-1.14888191223144531250000000000000000e+01), SC_(1.32511238199277123994169005161361076e+08) }},
+   {{ SC_(1.96349501609802246093750000000000000e-01), SC_(1.14888153076171875000000000000000000e+01), SC_(-9.99999992453423454105390532743860649e-01) }},
+   {{ SC_(9.81747508049011230468750000000000000e-02), SC_(-8.05778884887695312500000000000000000e+00), SC_(1.32511236600194321144472081902988900e+08) }},
+   {{ SC_(9.81747508049011230468750000000000000e-02), SC_(8.05778503417968750000000000000000000e+00), SC_(-9.99999992453403408755134486424680238e-01) }},
+   {{ SC_(4.90873754024505615234375000000000000e-02), SC_(-6.20478630065917968750000000000000000e+00), SC_(1.32511196333613501625056681220635449e+08) }},
+   {{ SC_(4.90873754024505615234375000000000000e-02), SC_(6.20478439331054687500000000000000000e+00), SC_(-9.99999992453424546906418471379431692e-01) }},
+   {{ SC_(2.45436877012252807617187500000000000e-02), SC_(-5.04468727111816406250000000000000000e+00), SC_(1.32510444682153244308944741276249743e+08) }},
+   {{ SC_(2.45436877012252807617187500000000000e-02), SC_(5.04468727111816406250000000000000000e+00), SC_(-9.99999992453425125452718343016626620e-01) }},
+   {{ SC_(1.22718438506126403808593750000000000e-02), SC_(-4.25006103515625000000000000000000000e+00), SC_(1.32510381066245855377858266863800391e+08) }},
+   {{ SC_(1.22718438506126403808593750000000000e-02), SC_(4.25006103515625000000000000000000000e+00), SC_(-9.99999992453421502474647969430194543e-01) }},
+   {{ SC_(6.13592192530632019042968750000000000e-03), SC_(-3.67170429229736328125000000000000000e+00), SC_(1.32510758104285983489485249432557085e+08) }},
+   {{ SC_(6.13592192530632019042968750000000000e-03), SC_(3.67170333862304687500000000000000000e+00), SC_(-9.99999992453406316573389351881712106e-01) }},
+   {{ SC_(3.06796096265316009521484375000000000e-03), SC_(-3.23190021514892578125000000000000000e+00), SC_(1.32510585900182699403632785183039269e+08) }},
+   {{ SC_(3.06796096265316009521484375000000000e-03), SC_(3.23189926147460937500000000000000000e+00), SC_(-9.99999992453391520816030464475703070e-01) }},
+   {{ SC_(1.53398048132658004760742187500000000e-03), SC_(-2.88618755340576171875000000000000000e+00), SC_(1.32510949539383669902674940342567829e+08) }},
+   {{ SC_(1.53398048132658004760742187500000000e-03), SC_(2.88618659973144531250000000000000000e+00), SC_(-9.99999992453407241797117696042091820e-01) }},
+}};
+
+// 5456
diff --git a/src/boost/libs/math/test/powm1_sqrtp1m1_test.cpp b/src/boost/libs/math/test/powm1_sqrtp1m1_test.cpp
new file mode 100644
index 000000000..c3a60b4c7
--- /dev/null
+++ b/src/boost/libs/math/test/powm1_sqrtp1m1_test.cpp
@@ -0,0 +1,78 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/test.hpp>
+#include "powm1_sqrtp1m1_test.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions powm1 and sqrt1pm1.  
+// The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 5, 2);                   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test_powm1_sqrtp1m1(1.0F, "float");
+   test_powm1_sqrtp1m1(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_powm1_sqrtp1m1(1.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_powm1_sqrtp1m1(boost::math::concepts::real_concept(), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/powm1_sqrtp1m1_test.hpp b/src/boost/libs/math/test/powm1_sqrtp1m1_test.hpp
new file mode 100644
index 000000000..ad461e7f7
--- /dev/null
+++ b/src/boost/libs/math/test/powm1_sqrtp1m1_test.hpp
@@ -0,0 +1,1610 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+void test_powm1_sqrtp1m1(T, const char* type_name)
+{
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 141> sqrtp1m1_data = {{
+      {{ SC_(-0.990433037281036376953125), SC_(-0.902189148255607021082179865003660033379) }}, 
+      {{ SC_(-0.928576648235321044921875), SC_(-0.7327485233629588435419837213946140663952) }}, 
+      {{ SC_(-0.804919183254241943359375), SC_(-0.5583204592175928547330219789723812512248) }}, 
+      {{ SC_(-0.780276477336883544921875), SC_(-0.5312532425038905348288090678272629719499) }}, 
+      {{ SC_(-0.775070965290069580078125), SC_(-0.525733160857803152349794525146692520785) }}, 
+      {{ SC_(-0.74602639675140380859375), SC_(-0.4960420620244223284705423670972348730775) }}, 
+      {{ SC_(-0.72904598712921142578125), SC_(-0.4794675678972648545670296583048773096015) }}, 
+      {{ SC_(-0.7162272930145263671875), SC_(-0.4672967927771847619430106324762494277417) }}, 
+      {{ SC_(-0.68477380275726318359375), SC_(-0.4385499156267435234127335149836228483716) }}, 
+      {{ SC_(-0.62323606014251708984375), SC_(-0.3861890031471553130754715740017444288273) }}, 
+      {{ SC_(-0.576151371002197265625), SC_(-0.3489634196162225368137418186622322770468) }}, 
+      {{ SC_(-0.5579319000244140625), SC_(-0.3351179804088653673227401220715512851566) }}, 
+      {{ SC_(-0.44300353527069091796875), SC_(-0.2536780421766293214167684432407843582845) }}, 
+      {{ SC_(-0.40594112873077392578125), SC_(-0.2292478535422518369418742953348121057781) }}, 
+      {{ SC_(-0.38366591930389404296875), SC_(-0.2149305249240001453212315877592832894955) }}, 
+      {{ SC_(-0.277411997318267822265625), SC_(-0.1499482352928545459530860365223688354153) }}, 
+      {{ SC_(-0.202522933483123779296875), SC_(-0.1069842854031759981174720343292165991554) }}, 
+      {{ SC_(-0.156477451324462890625), SC_(-0.08156516362044655434273010203540784115386) }}, 
+      {{ SC_(-0.029248714447021484375), SC_(-0.01473288619127324715091701268111937769847) }}, 
+      {{ SC_(0.1431564604442703013402649929484277542953e-29), SC_(0.7157823022213515067013249647418825993242e-30) }}, 
+      {{ SC_(0.1791466932348087634896446282571611213266e-29), SC_(0.8957334661740438174482231412854044374117e-30) }}, 
+      {{ SC_(0.6013619202535540063110633226832922483532e-29), SC_(0.3006809601267770031555316613411940789777e-29) }}, 
+      {{ SC_(0.115805324961653822428570241697281798758e-28), SC_(0.5790266248082691121428512084847326346288e-29) }}, 
+      {{ SC_(0.1422457400834001098175711728787848259007e-28), SC_(0.711228700417000549087855864391394898182e-29) }}, 
+      {{ SC_(0.4970121018327539153628705477876439795096e-28), SC_(0.2485060509163769576814352738907342268877e-28) }}, 
+      {{ SC_(0.9660079415057497591758174164417478444323e-28), SC_(0.483003970752874879587908708209209280428e-28) }}, 
+      {{ SC_(0.1232929313253182131376331095427391968754e-27), SC_(0.6164646566265910656881655476946945507336e-28) }}, 
+      {{ SC_(0.3296523285617759312781860549364832953326e-27), SC_(0.1648261642808879656390930274546578154505e-27) }}, 
+      {{ SC_(0.528364435768055252017009628713605422886e-27), SC_(0.26418221788402762600850481432190658932e-27) }}, 
+      {{ SC_(0.886586057273120049620324386849842094685e-27), SC_(0.4432930286365600248101621933266666927236e-27) }}, 
+      {{ SC_(0.2499669674831043259218157022821422146034e-26), SC_(0.1249834837415521629609078510629667512608e-26) }}, 
+      {{ SC_(0.4131050397232622964314362671638736040881e-26), SC_(0.2065525198616311482157181333686170847381e-26) }}, 
+      {{ SC_(0.7679738097881433551381658732998641759182e-26), SC_(0.3839869048940716775690829359127023723085e-26) }}, 
+      {{ SC_(0.199929739820949207249437007767740538737e-25), SC_(0.9996486991047460362471850338422150855758e-26) }}, 
+      {{ SC_(0.5151477415246978459754129800826163591626e-25), SC_(0.2575738707623489229877064867240932346063e-25) }}, 
+      {{ SC_(0.101200734533556026342258477595279955025e-24), SC_(0.5060036726677801317112923751744139374608e-25) }}, 
+      {{ SC_(0.2064292695896540981798546456623054911033e-24), SC_(0.1032146347948270490899273175045223276369e-24) }}, 
+      {{ SC_(0.4063294332896333395257434433879773416284e-24), SC_(0.2031647166448166697628717010560376261299e-24) }}, 
+      {{ SC_(0.8138195767936862452966745688936976428456e-24), SC_(0.406909788396843122648337201659060874841e-24) }}, 
+      {{ SC_(0.9575550627132253801929510132578249716542e-24), SC_(0.478777531356612690096475392014950219861e-24) }}, 
+      {{ SC_(0.2855160956298500804375620841706273850616e-23), SC_(0.1427580478149250402187809401860126128887e-23) }}, 
+      {{ SC_(0.65201444297915461398563707001320281266e-23), SC_(0.3260072214895773069928180036030590895584e-23) }}, 
+      {{ SC_(0.1310988374636350038320977491775043421995e-22), SC_(0.6554941873181750191604865975243736714241e-23) }}, 
+      {{ SC_(0.2590288837798696209228010176465529547374e-22), SC_(0.1295144418899348104613996701237435743037e-22) }}, 
+      {{ SC_(0.2937779542193655202274099291941187976629e-22), SC_(0.1468889771096827601137038857784795823862e-22) }}, 
+      {{ SC_(0.7863513178004503049754083414326234074965e-22), SC_(0.3931756589002251524876964413613741224383e-22) }}, 
+      {{ SC_(0.1903818607087388763706780167350761726053e-21), SC_(0.9519093035436943818533447771092722109619e-22) }}, 
+      {{ SC_(0.3812242142377350870566942975497647799754e-21), SC_(0.1906121071188675435283289822871922426703e-21) }}, 
+      {{ SC_(0.5493133580141330277178034419485741501887e-21), SC_(0.2746566790070665138588640028286254797086e-21) }}, 
+      {{ SC_(0.9672153634284186955666772243312215295852e-21), SC_(0.4836076817142093477832216739707042687854e-21) }}, 
+      {{ SC_(0.1702169477623814384559878647986894129041e-20), SC_(0.8510847388119071922795771513771277983779e-21) }}, 
+      {{ SC_(0.4817114569977399785676754474621208412799e-20), SC_(0.2408557284988699892835476663213068137742e-20) }}, 
+      {{ SC_(0.7538352992756463183303278501219690799218e-20), SC_(0.3769176496378231591644535904879420358976e-20) }}, 
+      {{ SC_(0.2596305715949999708394617609422128090557e-19), SC_(0.1298152857974999854188882800497720744566e-19) }}, 
+      {{ SC_(0.4444587480324321591032923385589104015025e-19), SC_(0.2222293740162160795491768745456732380306e-19) }}, 
+      {{ SC_(0.9715574921498573937069095571295029856174e-19), SC_(0.4857787460749286968416557290578449901693e-19) }}, 
+      {{ SC_(0.2036598542733453787268262970278076551267e-18), SC_(0.1018299271366726893582284814835737930738e-18) }}, 
+      {{ SC_(0.4248971931658660264162106698360155121463e-18), SC_(0.2124485965829330131855381318229788476899e-18) }}, 
+      {{ SC_(0.6521097487613458963613731825259556273977e-18), SC_(0.3260548743806729481275307007092796054895e-18) }}, 
+      {{ SC_(0.1436126164096190058281493628911107407475e-17), SC_(0.718063082048095028882939519555349077068e-18) }}, 
+      {{ SC_(0.3118908901459261162419055180006211003274e-17), SC_(0.1559454450729630579993578498052878596544e-17) }}, 
+      {{ SC_(0.3593346613595175715618300349429858897565e-17), SC_(0.1796673306797587856195132689035439820049e-17) }}, 
+      {{ SC_(0.9445874854124767215374919304693435151421e-17), SC_(0.4722937427062383596534390682373393588305e-17) }}, 
+      {{ SC_(0.2566182432094081539023303073498993853718e-16), SC_(0.1283091216047040761280036193264127770924e-16) }}, 
+      {{ SC_(0.3363765695149349330660137891158001366421e-16), SC_(0.1681882847574674651186419380749519252198e-16) }}, 
+      {{ SC_(0.1073581901339262605326457800103412409953e-15), SC_(0.53679095066963128825600266401137964529e-16) }}, 
+      {{ SC_(0.186668406231853462907965823802669547149e-15), SC_(0.9333420311592672709834617625880158673234e-16) }}, 
+      {{ SC_(0.3727540802657755688795382376099496468669e-15), SC_(0.1863770401328877670715685744569461355954e-15) }}, 
+      {{ SC_(0.6211646767866855090717281839829411183018e-15), SC_(0.3105823383933427063051696310530511222847e-15) }}, 
+      {{ SC_(0.1561186859754253464932505224282976996619e-14), SC_(0.7805934298771264278032012284733416682125e-15) }}, 
+      {{ SC_(0.3092010764722992466335682593125966377556e-14), SC_(0.1546005382361495038101520151206746652194e-14) }}, 
+      {{ SC_(0.6192850577371690132255643845837767003104e-14), SC_(0.3096425288685840272203037716324248888074e-14) }}, 
+      {{ SC_(0.1047879028014987723427253740737796761096e-13), SC_(0.5239395140074924891505551783318071383455e-14) }}, 
+      {{ SC_(0.1978473638988408750405412206418986897916e-13), SC_(0.989236819494199482255280888212449451182e-14) }}, 
+      {{ SC_(0.4041816252346730475863978426787070930004e-13), SC_(0.2020908126173344817583717046094650765545e-13) }}, 
+      {{ SC_(0.9410302262901834580155480125540634617209e-13), SC_(0.4705151131450806597841891098742774312111e-13) }}, 
+      {{ SC_(0.1334530223958893535574077304772799834609e-12), SC_(0.6672651119794245056505554066901540498883e-13) }}, 
+      {{ SC_(0.266297021326439287136622624529991298914e-12), SC_(0.1331485106632107793053653966876952769505e-12) }}, 
+      {{ SC_(0.5920415525016708979677559909760020673275e-12), SC_(0.29602077625079163483389193486561174812e-12) }}, 
+      {{ SC_(0.155163989296047688526414276566356420517e-11), SC_(0.7758199464799374943373933162927267207972e-12) }}, 
+      {{ SC_(0.326923297461201300961874949280172586441e-11), SC_(0.1634616487304670519279090616362400067267e-11) }}, 
+      {{ SC_(0.3753785910581841633870681107509881258011e-11), SC_(0.1876892955289159453352533516401529801122e-11) }}, 
+      {{ SC_(0.9579165585749116473834874341264367103577e-11), SC_(0.4789582792863088185252592080679746767978e-11) }}, 
+      {{ SC_(0.1858167439361402273334533674642443656921e-10), SC_(0.9290837196763851538764282981715353513818e-11) }}, 
+      {{ SC_(0.5449485307451595872407779097557067871094e-10), SC_(0.2724742653688676823559737485578304836506e-10) }}, 
+      {{ SC_(0.6089519166696533147842274047434329986572e-10), SC_(0.3044759583301913769320592805847923970217e-10) }}, 
+      {{ SC_(0.1337744776064297980155970435589551925659e-9), SC_(0.6688723880097794765058899684143827289977e-10) }}, 
+      {{ SC_(0.2554458866654840676346793770790100097656e-9), SC_(0.1277229433245854586915920539477320784002e-9) }}, 
+      {{ SC_(0.9285605062636648199259070679545402526855e-9), SC_(0.4642802530240543332889135775318577029962e-9) }}, 
+      {{ SC_(0.1698227447555211711005540564656257629395e-8), SC_(0.8491137234171087978551371134983090509552e-9) }}, 
+      {{ SC_(0.339355921141759608872234821319580078125e-8), SC_(0.1696779604269267531629088042873986404561e-8) }}, 
+      {{ SC_(0.6313728651008432279922999441623687744141e-8), SC_(0.3156864320521319970871232105329124668304e-8) }}, 
+      {{ SC_(0.8383264749056706932606175541877746582031e-8), SC_(0.4191632365743462521529019590756957227221e-8) }}, 
+      {{ SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.9813155573280803193195787399755096477409e-8) }}, 
+      {{ SC_(0.5256384838503436185419559478759765625e-7), SC_(0.2628192384714742037346966666026188341227e-7) }}, 
+      {{ SC_(0.116242290459922514855861663818359375e-6), SC_(0.5812114354092759417537613189484537667262e-7) }}, 
+      {{ SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.8884602525353202473263890111106254261705e-7) }}, 
+      {{ SC_(0.246631174150024889968335628509521484375e-6), SC_(0.1233155794716463747702014149912298889881e-6) }}, 
+      {{ SC_(0.7932688959044753573834896087646484375e-6), SC_(0.3966343692928262265327186740527956086072e-6) }}, 
+      {{ SC_(0.1372093493046122603118419647216796875e-5), SC_(0.6860465111931535414103361330991297079332e-6) }}, 
+      {{ SC_(0.214747751670074649155139923095703125e-5), SC_(0.1073738181893531617762304794194699568343e-5) }}, 
+      {{ SC_(0.527022712049074470996856689453125e-5), SC_(0.2635110088342783512028120843144783486949e-5) }}, 
+      {{ SC_(0.9233162927557714283466339111328125e-5), SC_(0.461657080741584719962950298693491037714e-5) }}, 
+      {{ SC_(0.269396477960981428623199462890625e-4), SC_(0.1346973318119308516416495011442959614762e-4) }}, 
+      {{ SC_(0.3208058114978484809398651123046875e-4), SC_(0.1604016193149502975581143111396377659995e-4) }}, 
+      {{ SC_(0.00010957030463032424449920654296875), SC_(0.5478365169091582645735757270110530879622e-4) }}, 
+      {{ SC_(0.000126518702018074691295623779296875), SC_(0.6325735026285620681070344590408428362373e-4) }}, 
+      {{ SC_(0.00028976381872780621051788330078125), SC_(0.0001448714155003885621472683658275189243597) }}, 
+      {{ SC_(0.000687857042066752910614013671875), SC_(0.0003438693979519525361574726383087724411954) }}, 
+      {{ SC_(0.00145484809763729572296142578125), SC_(0.0007271596682270997885618336103424497281234) }}, 
+      {{ SC_(0.0073254108428955078125), SC_(0.003656022172385267560713803761753901548099) }}, 
+      {{ SC_(0.09376299381256103515625), SC_(0.04583124537975104196281645139037475336575) }}, 
+      {{ SC_(0.0944411754608154296875), SC_(0.04615542605332570615786127417302399776704) }}, 
+      {{ SC_(0.264718532562255859375), SC_(0.1245970534205822199491885900676517027912) }}, 
+      {{ SC_(0.27952671051025390625), SC_(0.1311616641799057655376985599143742875242) }}, 
+      {{ SC_(0.31148135662078857421875), SC_(0.1451992650280511659331021017070743457453) }}, 
+      {{ SC_(0.3574702739715576171875), SC_(0.1651052630434546351309425398611544399279) }}, 
+      {{ SC_(0.362719058990478515625), SC_(0.1673555837834839069815597770182209283592) }}, 
+      {{ SC_(0.45167791843414306640625), SC_(0.2048559741455171397876451754340651729329) }}, 
+      {{ SC_(0.58441460132598876953125), SC_(0.2587353182166570039327003862804562417757) }}, 
+      {{ SC_(0.59585726261138916015625), SC_(0.263272441958340655449252054139087309968) }}, 
+      {{ SC_(0.5962116718292236328125), SC_(0.2634127084326893190571263246997038824839) }}, 
+      {{ SC_(0.6005609035491943359375), SC_(0.265132761234643838648662687260938123223) }}, 
+      {{ SC_(0.62944734096527099609375), SC_(0.2764980771490691893425893413189776581002) }}, 
+      {{ SC_(0.67001712322235107421875), SC_(0.2922914234886615056408835783570718269519) }}, 
+      {{ SC_(0.6982586383819580078125), SC_(0.3031725282486421443925178739003813209589) }}, 
+      {{ SC_(0.75686132907867431640625), SC_(0.3254664571684469135448954017993676523574) }}, 
+      {{ SC_(0.81158387660980224609375), SC_(0.3459509190939327287182180832834475919551) }}, 
+      {{ SC_(0.826751708984375), SC_(0.3515737896927326105907938446356122609441) }}, 
+      {{ SC_(0.83147108554840087890625), SC_(0.3533185454830658156956304096558121255029) }}, 
+      {{ SC_(0.8679864406585693359375), SC_(0.3667430046129994134441282712127036765511) }}, 
+      {{ SC_(0.91433393955230712890625), SC_(0.3835945719582406373102286771719657103388) }}, 
+      {{ SC_(0.91501367092132568359375), SC_(0.3838401898056457601350544781643172326518) }}, 
+      {{ SC_(0.918984889984130859375), SC_(0.3852743013512272831269535677278325535267) }}, 
+      {{ SC_(0.92977702617645263671875), SC_(0.3891641465919182859360893492188078577616) }}, 
+      {{ SC_(0.93538987636566162109375), SC_(0.3911829054317989358513931994433199352401) }}, 
+      {{ SC_(0.93773555755615234375), SC_(0.3920257029078710024155036194055376074007) }}, 
+      {{ SC_(0.94118559360504150390625), SC_(0.3932643660142325996680401116017235829116) }}, 
+      {{ SC_(0.96221935749053955078125), SC_(0.4007924034240546775728864480529865192659) }}, 
+      {{ SC_(0.98576259613037109375), SC_(0.4091708896121758495875515950932191750449) }}, 
+      {{ SC_(0.99292266368865966796875), SC_(0.4117091285702801135545007937655927942821) }}, 
+   }};
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 1400> powm1_data = {{
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.4876113153308343652049349438365788782568e-28) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.6101991796549119337733033929476086235147e-28) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.2048324441766037485142714404837079817647e-27) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.3944494481885382670819636026287935618847e-27) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1422457400834001098175711728787848259007e-28), SC_(-0.4845092719324132218645425927278781231393e-27) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4970121018327539153628705477876439795096e-28), SC_(-0.1692894082166527210362866376720838911671e-26) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9660079415057497591758174164417478444323e-28), SC_(-0.3290360780895537432240111567751307160722e-26) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1232929313253182131376331095427391968754e-27), SC_(-0.4199533030361316903341770129910084958631e-26) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3296523285617759312781860549364832953326e-27), SC_(-0.1122842832471787971733666733700489713877e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.528364435768055252017009628713605422886e-27), SC_(-0.1799684601724219422633144864504456459061e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.886586057273120049620324386849842094685e-27), SC_(-0.301983851933262353667369307173490332305e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2499669674831043259218157022821422146034e-26), SC_(-0.851423131205077246153257242575159396693e-25) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4131050397232622964314362671638736040881e-26), SC_(-0.1407094665264327834604146533729082291379e-24) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7679738097881433551381658732998641759182e-26), SC_(-0.261582829282236901328884539002832986633e-24) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.199929739820949207249437007767740538737e-25), SC_(-0.6809891995464351323188379271234568515929e-24) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5151477415246978459754129800826163591626e-25), SC_(-0.1754666656712664684348626881941041760604e-23) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.101200734533556026342258477595279955025e-24), SC_(-0.34470413088736644015953540038270992073e-23) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2064292695896540981798546456623054911033e-24), SC_(-0.7031275246329503001381414764473488822476e-23) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4063294332896333395257434433879773416284e-24), SC_(-0.1384015983694437753942599100031834846519e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.8138195767936862452966745688936976428456e-24), SC_(-0.2771985511871706510319651593329877641942e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9575550627132253801929510132578249716542e-24), SC_(-0.3261569070527988349552625022548697814845e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2855160956298500804375620841706273850616e-23), SC_(-0.9725085302202836634236273890970136659468e-22) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.65201444297915461398563707001320281266e-23), SC_(-0.2220854156138726384270360939328805807496e-21) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1310988374636350038320977491775043421995e-22), SC_(-0.4465413322989495361133815710858355990476e-21) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2590288837798696209228010176465529547374e-22), SC_(-0.8822893101478278733146155237640398711321e-21) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2937779542193655202274099291941187976629e-22), SC_(-0.1000649598540977920935091326953457942208e-20) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7863513178004503049754083414326234074965e-22), SC_(-0.2678424705352926224139081344679444879469e-20) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1903818607087388763706780167350761726053e-21), SC_(-0.6484677619663470968358777401078973025876e-20) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3812242142377350870566942975497647799754e-21), SC_(-0.1298504028134944266344521819289603363198e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5493133580141330277178034419485741501887e-21), SC_(-0.1871039617763820057590094637996686252126e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9672153634284186955666772243312215295852e-21), SC_(-0.3294473432116758998094638207256180094583e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1702169477623814384559878647986894129041e-20), SC_(-0.5797831933845967032001409153808505427486e-19) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4817114569977399785676754474621208412799e-20), SC_(-0.1640777904312887822627372613029956055284e-18) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.7538352992756463183303278501219690799218e-20), SC_(-0.2567670510166787584153650238170661635392e-18) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2596305715949999708394617609422128090557e-19), SC_(-0.8843387446340099351857154955251648734277e-18) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4444587480324321591032923385589104015025e-19), SC_(-0.1513889866135372642811595930728137815273e-17) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9715574921498573937069095571295029856174e-19), SC_(-0.3309263341636914772803140564669851761043e-17) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2036598542733453787268262970278076551267e-18), SC_(-0.6936945012060519151079315126759585887524e-17) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4248971931658660264162106698360155121463e-18), SC_(-0.1447260421199383628860906433743869048343e-16) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6521097487613458963613731825259556273977e-18), SC_(-0.2221178781221441480704197986591689852107e-16) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1436126164096190058281493628911107407475e-17), SC_(-0.4891650475869226303643170206367209825168e-16) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3118908901459261162419055180006211003274e-17), SC_(-0.1062344840825147041561189485134686674784e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3593346613595175715618300349429858897565e-17), SC_(-0.1223945090048411651974452688903537147646e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9445874854124767215374919304693435151421e-17), SC_(-0.3217399653341720695630524182811530497325e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2566182432094081539023303073498993853718e-16), SC_(-0.8740783246589107366187111286071499874759e-15) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3363765695149349330660137891158001366421e-16), SC_(-0.114574655589157486912055633512820155344e-14) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1073581901339262605326457800103412409953e-15), SC_(-0.3656773025840533327467103325113205753957e-14) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.186668406231853462907965823802669547149e-15), SC_(-0.6358192065586750730853832514556047648021e-14) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3727540802657755688795382376099496468669e-15), SC_(-0.1269653544166010514919541179082417894329e-13) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6211646767866855090717281839829411183018e-15), SC_(-0.2115775453968538439661164062909478793222e-13) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1561186859754253464932505224282976996619e-14), SC_(-0.5317625036268033276607060773206517931366e-13) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3092010764722992466335682593125966377556e-14), SC_(-0.1053182951942663933832876385506518241085e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6192850577371690132255643845837767003104e-14), SC_(-0.2109373203492102058861790697529436159834e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1047879028014987723427253740737796761096e-13), SC_(-0.3569225374615943825992302718383009611711e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1978473638988408750405412206418986897916e-13), SC_(-0.673896330253118868079779235488630600479e-12) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4041816252346730475863978426787070930004e-13), SC_(-0.1376700243226680691549667180741589712713e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9410302262901834580155480125540634617209e-13), SC_(-0.3205283121576780981640095118048982901968e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1334530223958893535574077304772799834609e-12), SC_(-0.4545600218337299481258164553284154943185e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.266297021326439287136622624529991298914e-12), SC_(-0.9070456229087110845090862250063546365371e-11) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5920415525016708979677559909760020673275e-12), SC_(-0.2016577940297158071169597347971748413736e-10) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.155163989296047688526414276566356420517e-11), SC_(-0.5285106706035087367329172863247919698404e-10) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.326923297461201300961874949280172586441e-11), SC_(-0.1113547363379608255313626394695583529731e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.3753785910581841633870681107509881258011e-11), SC_(-0.1278593002042478917504524915640565559874e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9579165585749116473834874341264367103577e-11), SC_(-0.3262800376442197422488996705022038458178e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1858167439361402273334533674642443656921e-10), SC_(-0.6329183231503080899469654537111874935801e-9) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.5449485307451595872407779097557067871094e-10), SC_(-0.1856172392031744263095629658180062804824e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6089519166696533147842274047434329986572e-10), SC_(-0.2074177049579756457337028786392419850624e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1337744776064297980155970435589551925659e-9), SC_(-0.455654943076412885664049644579104536681e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.2554458866654840676346793770790100097656e-9), SC_(-0.8700851073320290645945712060227430593679e-8) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9285605062636648199259070679545402526855e-9), SC_(-0.3162809427238687518730427707811416855358e-7) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1698227447555211711005540564656257629395e-8), SC_(-0.5784404650086212080717891696990416782702e-7) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.339355921141759608872234821319580078125e-8), SC_(-0.1155894585519911283131451474518816660213e-6) }}, 
+      {{ SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6313728651008432279922999441623687744141e-8), SC_(-0.2150545767594101004999522536841406461754e-6) }}, 
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+      {{ SC_(9.133758544921875), SC_(0.438671648502349853515625), SC_(1.638819662694764963830781936726649515985) }}, 
+      {{ SC_(9.133758544921875), SC_(0.903765499591827392578125), SC_(6.382473545580206211190860756907471309227) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.1232929313253182131376331095427391968754e-27), SC_(0.279993064468643928226977638193225502021e-27) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.528364435768055252017009628713605422886e-27), SC_(0.1199893424032530976049611749648424671609e-26) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.2937779542193655202274099291941187976629e-22), SC_(0.6671573851883745565690238915558861233449e-22) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.6521097487613458963613731825259556273977e-18), SC_(0.1480913828253450121139914131430527700071e-17) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.3118908901459261162419055180006211003274e-17), SC_(0.7082911013072682747000780572255711975698e-17) }}, 
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+      {{ SC_(9.68867778778076171875), SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.4457052884132293020120854209156627105415e-7) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.5256384838503436185419559478759765625e-7), SC_(0.1193702973058086549839229184033913497394e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.116242290459922514855861663818359375e-6), SC_(0.2639813902774001345761419758813907104525e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.4035312768290402179724322739059024257911e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.246631174150024889968335628509521484375e-6), SC_(0.5600891862976372697203768774599773207812e-6) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.7932688959044753573834896087646484375e-6), SC_(0.1801481940511445476740974446351987487537e-5) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.1372093493046122603118419647216796875e-5), SC_(0.3115971501912317630070527687604350940031e-5) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.214747751670074649155139923095703125e-5), SC_(0.487684306379282015062143358653997082528e-5) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.527022712049074470996856689453125e-5), SC_(0.1196853588100977502339779488819564685125e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.9233162927557714283466339111328125e-5), SC_(0.2096834472868302910410196802704006676419e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.269396477960981428623199462890625e-4), SC_(0.6118067920858328215848432186906668843509e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.3208058114978484809398651123046875e-4), SC_(0.728563051879196577689828782571903259951e-4) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.00010957030463032424449920654296875), SC_(0.0002488605167115786508690708436538612267867) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.000126518702018074691295623779296875), SC_(0.0002873599340757661525877158215704810459439) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.00028976381872780621051788330078125), SC_(0.0006582580089946178862548800972604646079047) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.000687857042066752910614013671875), SC_(0.001563315133764469862768389959281037577749) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.00145484809763729572296142578125), SC_(0.003309362765364723055307278727456538237784) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.002847635187208652496337890625), SC_(0.006487815096079959006202372484557638978379) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.0056468211114406585693359375), SC_(0.01290626953766988799660445158177424847916) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.011621631681919097900390625), SC_(0.02674359636941844621991721651837741451166) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.0257236398756504058837890625), SC_(0.06015731222731434671073651753326632370858) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.0560617186129093170166015625), SC_(0.1357733748610437010694097215927829841061) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.106835305690765380859375), SC_(0.2745822634838372037418174975910269667509) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.2401093542575836181640625), SC_(0.7250883224868308476529921117348408126984) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.438671648502349853515625), SC_(1.707985158316040663526167707818201486792) }}, 
+      {{ SC_(9.68867778778076171875), SC_(0.903765499591827392578125), SC_(6.786671267376742594913276377075578069747) }}, 
+   }};
+
+   using namespace std;
+
+   typedef T (*func_t)(const T&);
+#ifdef SQRT1PM1_FUNCTION_TO_TEST
+   func_t f = SQRT1PM1_FUNCTION_TO_TEST;
+#else
+   func_t f = &boost::math::sqrt1pm1<T>;
+#endif
+
+   boost::math::tools::test_result<T> result;
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SQRT1PM1_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<T>(
+      sqrtp1m1_data, 
+      bind_func<T>(f, 0), 
+      extract_result<T>(1));
+
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"
+      "Test results for type " << type_name << std::endl << std::endl;
+   handle_test_result(result, sqrtp1m1_data[result.worst()], result.worst(), type_name, "sqrt1pm1", "sqrt1pm1");
+
+#endif
+
+   typedef T (*func2_t)(T const, T const);
+#ifdef POWM1_FUNCTION_TO_TEST
+   func2_t f2 = POWM1_FUNCTION_TO_TEST;
+#else
+   func2_t f2 = &boost::math::powm1<T,T>;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(POWM1_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<T>(
+      powm1_data, 
+      bind_func<T>(f2, 0, 1), 
+      extract_result<T>(2));
+   handle_test_result(result, powm1_data[result.worst()], result.worst(), type_name, "powm1", "powm1");
+#endif
+
+#include "powm1_data.ipp"
+   result = boost::math::tools::test_hetero<T>(
+      powm1_data,
+      bind_func<T>(f2, 0, 1),
+      extract_result<T>(2));
+   handle_test_result(result, powm1_big_data[result.worst()], result.worst(), type_name, "boost::math::powm1", "powm1");
+
+}
+
diff --git a/src/boost/libs/math/test/quaternion_constexpr_test.cpp b/src/boost/libs/math/test/quaternion_constexpr_test.cpp
new file mode 100644
index 000000000..773929c00
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_constexpr_test.cpp
@@ -0,0 +1,165 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/math/quaternion.hpp>
+
+typedef boost::math::quaternion<double> qt;
+typedef std::complex<double> ct;
+
+#ifndef BOOST_NO_CXX14_CONSTEXPR
+
+constexpr qt full_constexpr_test(qt a, qt b, double d, ct c)
+{
+   a.swap(b);
+   qt result(a), t;
+   result += d;
+   result += c;
+   result += b;
+   t = result;
+   t = d;
+   t = c;
+   result -= d;
+   result -= c;
+   result -= a;
+   result *= d;
+   result *= c;
+   result *= a;
+   result /= d;
+   result /= c;
+   result /= b;
+
+   result += a + d;
+   result += d + a;
+   result += a + c;
+   result += c + a;
+   result += a + b;
+
+   result += a - d;
+   result += d - a;
+   result += a - c;
+   result += c - a;
+   result += a - b;
+
+   result += a * d;
+   result += d * a;
+   result += a * c;
+   result += c * a;
+   result += a * b;
+
+   result += a / d;
+   result += d / a;
+   result += a / c;
+   result += c / a;
+   result += a / b;
+
+   result += norm(a);
+   result += conj(a);
+
+   return result;
+}
+
+#endif
+
+int main()
+{
+#ifndef BOOST_NO_CXX11_CONSTEXPR
+
+   constexpr qt q1;
+   constexpr qt q2(2.0);
+   constexpr qt q3(2.0, 3.0);
+   constexpr qt q4(2.0, 3.9, 3.0);
+   constexpr qt q5(2.0, 3.9, 3.0, 5.);
+
+   constexpr ct c1(2., 3.);
+   constexpr qt q6(c1);
+   constexpr qt q7(c1, c1);
+   constexpr qt q8(q1);
+
+   constexpr double d1 = q5.real();
+   constexpr qt q9 = q1.unreal();
+   constexpr double d2 = q1.R_component_1();
+   constexpr double d3 = q1.R_component_2();
+   constexpr double d4 = q1.R_component_3();
+   constexpr double d5 = q1.R_component_4();
+   constexpr ct c2 = q1.C_component_1();
+   constexpr ct c3 = q1.C_component_1();
+
+   constexpr qt q10 = q1 + d1;
+   constexpr qt q11 = d1 + q1;
+   constexpr qt q12 = c2 + q1;
+   constexpr qt q13 = q1 + c2;
+   constexpr qt q14 = q1 + q2;
+
+   constexpr qt q15 = q1 - d1;
+   constexpr qt q16 = d1 - q1;
+   constexpr qt q17 = c2 - q1;
+   constexpr qt q18 = q1 - c2;
+   constexpr qt q19 = q1 - q2;
+
+   constexpr qt q20 = q1 * d1;
+   constexpr qt q21 = d1 * q1;
+   constexpr qt q22 = q5 / d1;
+
+   constexpr double d6 = real(q5);
+   constexpr qt q23 = unreal(q1);
+
+   constexpr bool b1 = q1 == d1;
+   constexpr bool b2 = d1 == q1;
+   constexpr bool b3 = q1 != d1;
+   constexpr bool b4 = d1 != q1;
+
+   constexpr bool b5 = q1 == c2;
+   constexpr bool b6 = c2 == q1;
+   constexpr bool b7 = q1 != c2;
+   constexpr bool b8 = c2 != q1;
+   constexpr bool b9 = q2 == q1;
+   constexpr bool b10 = q1 != q2;
+
+   (void)q9;
+   (void)d2;
+   (void)d3;
+   (void)d4;
+   (void)d6;
+   (void)d5;
+   (void)c3;
+   (void)q10;
+   (void)q11;
+   (void)q12;
+   (void)q13;
+   (void)q14;
+   (void)q15;
+   (void)q16;
+   (void)q17;
+   (void)q18;
+   (void)q19;
+   (void)q20;
+   (void)q21;
+   (void)q22;
+   (void)q23;
+   (void)b1;
+   (void)b2;
+   (void)b3;
+   (void)b4;
+   (void)b5;
+   (void)b6;
+   (void)b7;
+   (void)b8;
+   (void)b9;
+   (void)b10;
+
+#endif
+
+#ifndef BOOST_NO_CXX14_CONSTEXPR
+
+   constexpr qt q24 = full_constexpr_test(q5, q5 + 1, 3.2, q5.C_component_1());
+   (void)q24;
+
+#endif
+
+   return 0;
+}
diff --git a/src/boost/libs/math/test/quaternion_mi1.cpp b/src/boost/libs/math/test/quaternion_mi1.cpp
new file mode 100644
index 000000000..961c24c54
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi1.cpp
@@ -0,0 +1,18 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#include "quaternion_mi1.h"
+
+
+#include <boost/math/quaternion.hpp>
+
+void    quaternion_mi1()
+{
+    ::boost::math::quaternion<float>    q0;
+    
+    q0 *= q0;
+}
diff --git a/src/boost/libs/math/test/quaternion_mi1.h b/src/boost/libs/math/test/quaternion_mi1.h
new file mode 100644
index 000000000..c6e7c4dda
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi1.h
@@ -0,0 +1,13 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_1
+#define BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_1
+
+void    quaternion_mi1();
+
+#endif /* BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_1 */
diff --git a/src/boost/libs/math/test/quaternion_mi2.cpp b/src/boost/libs/math/test/quaternion_mi2.cpp
new file mode 100644
index 000000000..a73b44621
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi2.cpp
@@ -0,0 +1,18 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#include "quaternion_mi2.h"
+
+
+#include <boost/math/quaternion.hpp>
+
+void    quaternion_mi2()
+{
+    ::boost::math::quaternion<float>    q0;
+    
+    q0 *= q0;
+}
diff --git a/src/boost/libs/math/test/quaternion_mi2.h b/src/boost/libs/math/test/quaternion_mi2.h
new file mode 100644
index 000000000..fedbc95f8
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mi2.h
@@ -0,0 +1,13 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_2
+#define BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_2
+
+void    quaternion_mi2();
+
+#endif /* BOOST_QUATERNION_MULTIPLE_INCLUDE_TEST_2 */
diff --git a/src/boost/libs/math/test/quaternion_mult_incl_test.cpp b/src/boost/libs/math/test/quaternion_mult_incl_test.cpp
new file mode 100644
index 000000000..de311b19e
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_mult_incl_test.cpp
@@ -0,0 +1,37 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+
+#include "quaternion_mi1.h"
+#include "quaternion_mi2.h"
+
+
+boost::unit_test::test_suite *    init_unit_test_suite(int, char *[])
+{
+    ::boost::unit_test::unit_test_log.
+        set_threshold_level(::boost::unit_test::log_messages);
+    
+    boost::unit_test::test_suite *    test =
+        BOOST_TEST_SUITE("quaternion_multiple_inclusion_test");
+    
+    BOOST_TEST_MESSAGE("Results of quaternion (multiple inclusion) test.");
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("(C) Copyright Hubert Holin 2003-2005.");
+    BOOST_TEST_MESSAGE("Distributed under the Boost Software License, Version 1.0.");
+    BOOST_TEST_MESSAGE("(See accompanying file LICENSE_1_0.txt or copy at");
+    BOOST_TEST_MESSAGE("http://www.boost.org/LICENSE_1_0.txt)");
+    BOOST_TEST_MESSAGE(" ");
+    
+    test->add(BOOST_TEST_CASE(&quaternion_mi1));
+    test->add(BOOST_TEST_CASE(&quaternion_mi2));
+    
+    return(test);
+}
+
diff --git a/src/boost/libs/math/test/quaternion_test.cpp b/src/boost/libs/math/test/quaternion_test.cpp
new file mode 100644
index 000000000..f15845172
--- /dev/null
+++ b/src/boost/libs/math/test/quaternion_test.cpp
@@ -0,0 +1,831 @@
+// test file for quaternion.hpp
+
+//  (C) Copyright Hubert Holin 2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <iomanip>
+
+
+#include <boost/mpl/list.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+#include <boost/math/quaternion.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127) // conditional expression is constant
+#endif
+
+template<typename T>
+struct string_type_name;
+
+#define DEFINE_TYPE_NAME(Type)              \
+template<> struct string_type_name<Type>    \
+{                                           \
+    static char const * _()                 \
+    {                                       \
+        return #Type;                       \
+    }                                       \
+}
+
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+DEFINE_TYPE_NAME(long double);
+DEFINE_TYPE_NAME(boost::multiprecision::cpp_bin_float_quad);
+DEFINE_TYPE_NAME(boost::multiprecision::number<boost::multiprecision::cpp_dec_float<25> >);
+
+#if BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+#  define CPP_DEC_FLOAT_TEST
+#else
+#  define CPP_DEC_FLOAT_TEST , boost::multiprecision::number<boost::multiprecision::cpp_dec_float<25> >
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#  define LD_TEST , long double
+#else
+#  define LD_TEST
+#endif
+
+
+typedef boost::mpl::list<float,double LD_TEST, boost::multiprecision::cpp_bin_float_quad CPP_DEC_FLOAT_TEST >  test_types;
+
+// Apple GCC 4.0 uses the "double double" format for its long double,
+// which means that epsilon is VERY small but useless for
+// comparisons. So, don't do those comparisons.
+#if (defined(__APPLE_CC__) && defined(__GNUC__) && __GNUC__ == 4) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+typedef boost::mpl::list<float,double>  near_eps_test_types;
+#else
+typedef boost::mpl::list<float,double,long double>  near_eps_test_types;
+#endif
+
+
+#if BOOST_WORKAROUND(__GNUC__, < 3)
+    // gcc 2.x ignores function scope using declarations,
+    // put them in the scope of the enclosing namespace instead:
+using   ::std::sqrt;
+using   ::std::atan;
+using   ::std::log;
+using   ::std::exp;
+using   ::std::cos;
+using   ::std::sin;
+using   ::std::tan;
+using   ::std::cosh;
+using   ::std::sinh;
+using   ::std::tanh;
+
+using   ::std::numeric_limits;
+
+using   ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+
+#ifdef  BOOST_NO_STDC_NAMESPACE
+using   ::sqrt;
+using   ::atan;
+using   ::log;
+using   ::exp;
+using   ::cos;
+using   ::sin;
+using   ::tan;
+using   ::cosh;
+using   ::sinh;
+using   ::tanh;
+#endif  /* BOOST_NO_STDC_NAMESPACE */
+
+#ifdef  BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP
+using   ::boost::math::real;
+using   ::boost::math::unreal;
+using   ::boost::math::sup;
+using   ::boost::math::l1;
+using   ::boost::math::abs;
+using   ::boost::math::norm;
+using   ::boost::math::conj;
+using   ::boost::math::exp;
+using   ::boost::math::pow;
+using   ::boost::math::cos;
+using   ::boost::math::sin;
+using   ::boost::math::tan;
+using   ::boost::math::cosh;
+using   ::boost::math::sinh;
+using   ::boost::math::tanh;
+using   ::boost::math::sinc_pi;
+using   ::boost::math::sinhc_pi;
+#endif  /* BOOST_NO_ARGUMENT_DEPENDENT_LOOKUP */
+  
+// Provide standard floating point abs() overloads if older Microsoft
+// library is used with _MSC_EXTENSIONS defined. This code also works
+// for the Intel compiler using the Microsoft library.
+#if defined(_MSC_EXTENSIONS) && BOOST_WORKAROUND(_MSC_VER, < 1310)
+#if !((__INTEL__ && _WIN32) && BOOST_WORKAROUND(__MWERKS__, >= 0x3201))
+inline float        abs(float v)
+{
+    return(fabs(v));
+}
+
+inline double        abs(double v)
+{
+    return(fabs(v));
+}
+
+inline long double    abs(long double v)
+{
+    return(fabs(v));
+}
+#endif /* !((__INTEL__ && _WIN32) && BOOST_WORKAROUND(__MWERKS__, >= 0x3201)) */
+#endif /* defined(_MSC_EXTENSIONS) && BOOST_WORKAROUND(_MSC_VER, < 1310) */
+
+
+// explicit (if ludicrous) instanciation
+#if !BOOST_WORKAROUND(__GNUC__, < 3)
+template    class ::boost::math::quaternion<int>;
+#else
+// gcc doesn't like the absolutely-qualified namespace
+template class boost::math::quaternion<int>;
+#endif /* !BOOST_WORKAROUND(__GNUC__) */
+
+template <class T>
+struct other_type
+{
+   typedef double type;
+};
+template<>
+struct other_type<double>
+{
+   typedef float type;
+};
+template<>
+struct other_type<float>
+{
+   typedef short type;
+};
+
+
+template <class T, class U>
+void test_compare(const T& a, const U& b, bool eq)
+{
+   if (eq)
+   {
+      BOOST_CHECK_EQUAL(a, b);
+      BOOST_CHECK((a != b) == false);
+      BOOST_CHECK_EQUAL(b, a);
+      BOOST_CHECK((b != a) == false);
+   }
+   else
+   {
+      BOOST_CHECK_NE(a, b);
+      BOOST_CHECK((a == b) == false);
+      BOOST_CHECK_NE(b, a);
+      BOOST_CHECK((b == a) == false);
+   }
+}
+
+template <class T, class R1, class R2, class R3, class R4>
+void check_exact_quaternion_result(const boost::math::quaternion<T>& q, R1 a, R2 b, R3 c, R4 d)
+{
+   BOOST_CHECK_EQUAL(q.R_component_1(), a);
+   BOOST_CHECK_EQUAL(q.R_component_2(), b);
+   BOOST_CHECK_EQUAL(q.R_component_3(), c);
+   BOOST_CHECK_EQUAL(q.R_component_4(), d);
+   BOOST_CHECK_EQUAL(q.C_component_1(), std::complex<T>(T(a), T(b)));
+   BOOST_CHECK_EQUAL(q.C_component_2(), std::complex<T>(T(c), T(d)));
+}
+
+template <class T, class R1, class R2, class R3, class R4>
+void check_approx_quaternion_result(const boost::math::quaternion<T>& q, R1 a, R2 b, R3 c, R4 d, int eps = 10)
+{
+   T tol = std::numeric_limits<T>::epsilon() * eps * 100;  // epsilon as a percentage.
+   using std::abs;
+   if (abs(a) > tol / 100)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_1(), static_cast<T>(a), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_1(), tol);
+   }
+   if (abs(b) > tol)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_2(), static_cast<T>(b), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_2(), tol);
+   }
+   if (abs(c) > tol)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_3(), static_cast<T>(c), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_3(), tol);
+   }
+   if (abs(d) > tol)
+   {
+      BOOST_CHECK_CLOSE(q.R_component_4(), static_cast<T>(d), tol);
+   }
+   else
+   {
+      BOOST_CHECK_SMALL(q.R_component_4(), tol);
+   }
+}
+
+template <class T>
+void check_complex_ops_imp()
+{
+   T tol = std::numeric_limits<T>::epsilon() * 200;
+
+   ::std::complex<T>                   c0(5, 6);
+
+   // using constructor "H seen as C^2"
+   ::boost::math::quaternion<T>        q2(c0), q1;
+   check_exact_quaternion_result(q2, 5, 6, 0, 0);
+
+   // using converting assignment operator
+   q2 = 0;
+   q2 = c0;
+   check_exact_quaternion_result(q2, 5, 6, 0, 0);
+
+   // using += (const ::std::complex<T> &)
+   q2 = ::boost::math::quaternion<T>(5, 6, 7, 8);
+   q2 += c0;
+   check_exact_quaternion_result(q2, 10, 12, 7, 8);
+
+   // using -= (const ::std::complex<T> &)
+   q2 -= c0;
+   check_exact_quaternion_result(q2, 5, 6, 7, 8);
+
+   // using *= (const ::std::complex<T> &)
+   q2 *= c0;
+   check_exact_quaternion_result(q2, -11, 60, 83, -2);
+
+   q2 /= c0;
+   check_approx_quaternion_result(q2, 5, 6, 7, 8);
+
+   q2 = ::boost::math::quaternion<T>(4, 5, 7, 8);
+   // operator +
+   q1 = c0 + q2;
+   check_exact_quaternion_result(q1, 9, 11, 7, 8);
+   q1 = q2 + c0;
+   check_exact_quaternion_result(q1, 9, 11, 7, 8);
+
+   // operator -
+   q1 = c0 - q2;
+   check_exact_quaternion_result(q1, 1, 1, -7, -8);
+   q1 = q2 - c0;
+   check_exact_quaternion_result(q1, -1, -1, 7, 8);
+
+   // using * (const ::std::complex<T> &, const quaternion<T> &)
+   q1 = c0 * q2;
+   check_exact_quaternion_result(q1, -10, 49, -13, 82);
+
+   // using * (const quaternion<T> &, const ::std::complex<T> &)
+   q1 = q2 * c0;
+   check_exact_quaternion_result(q1, -10, 49, 83, -2);
+
+   // using / (const ::std::complex<T> &, const quaternion<T> &)
+   q1 = c0 / q2;
+   check_approx_quaternion_result(q1, T(25) / 77, -T(1) / 154, T(13) / 154, -T(41) / 77);
+   q1 *= q2;
+   BOOST_CHECK_CLOSE(q1.R_component_1(), T(5), tol);
+   BOOST_CHECK_CLOSE(q1.R_component_2(), T(6), tol);
+   BOOST_CHECK_SMALL(q1.R_component_3(), tol);
+   BOOST_CHECK_SMALL(q1.R_component_4(), tol);
+
+   // using / (const quaternion<T> &, const ::std::complex<T> &)
+   q1 = q2 / c0;
+   check_approx_quaternion_result(q1, T(50) / 61, T(1)/ 61, -T(13) / 61, T(82) / 61);
+   q1 *= c0;
+   check_approx_quaternion_result(q1, 4, 5, 7, 8);
+
+   q1 = c0;
+   test_compare(q1, c0, true);
+   q1 += 1;
+   test_compare(q1, c0, false);
+}
+
+template <class T>
+void check_complex_ops() {}
+
+template<>
+void check_complex_ops<float>() { check_complex_ops_imp<float>(); }
+template<>
+void check_complex_ops<double>() { check_complex_ops_imp<double>(); }
+template<>
+void check_complex_ops<long double>() { check_complex_ops_imp<long double>(); }
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(arithmetic_test, T, test_types)
+{
+   typedef typename other_type<T>::type other_type;
+   check_complex_ops<T>();
+
+   T tol = std::numeric_limits<T>::epsilon() * 200;
+
+   // using default constructor
+   ::boost::math::quaternion<T>        q0, q2;
+   check_exact_quaternion_result(q0, 0, 0, 0, 0);
+   BOOST_CHECK_EQUAL(q0, 0);
+
+   ::boost::math::quaternion<T>        qa[2];
+   check_exact_quaternion_result(qa[0], 0, 0, 0, 0);
+   check_exact_quaternion_result(qa[1], 0, 0, 0, 0);
+   BOOST_CHECK_EQUAL(qa[0], 0);
+   BOOST_CHECK_EQUAL(qa[1], 0.f);
+
+   // using constructor "H seen as R^4"
+   ::boost::math::quaternion<T>       q1(1, 2, 3, 4);
+   check_exact_quaternion_result(q1, 1, 2, 3, 4);
+
+   // using untemplated copy constructor
+   ::boost::math::quaternion<T>        q3(q1);
+   check_exact_quaternion_result(q3, 1, 2, 3, 4);
+
+   // using templated copy constructor
+   ::boost::math::quaternion<other_type>  qo(5, 6, 7, 8);
+   boost::math::quaternion<T>  q4(qo);
+   check_exact_quaternion_result(q4, 5, 6, 7, 8);
+
+   // using untemplated assignment operator
+   q3 = q0;
+   check_exact_quaternion_result(q0, 0, 0, 0, 0);
+   //BOOST_CHECK_EQUAL(q3, 0.f);
+   BOOST_CHECK_EQUAL(q3, q0);
+   q3 = q4;
+   check_exact_quaternion_result(q3, 5, 6, 7, 8);
+   qa[0] = q4;
+   check_exact_quaternion_result(qa[0], 5, 6, 7, 8);
+
+   // using templated assignment operator
+   q4 = qo;
+   check_exact_quaternion_result(q4, 5, 6, 7, 8);
+
+   other_type                                   f0(7);
+   T                                            f1(7);
+
+   // using converting assignment operator
+   q2 = f0;
+   check_exact_quaternion_result(q2, 7, 0, 0, 0);
+   q2 = 33.;
+   check_exact_quaternion_result(q2, 33, 0, 0, 0);
+
+   // using += (const T &)
+   q4 += f0;
+   check_exact_quaternion_result(q4, 12, 6, 7, 8);
+
+   // using += (const quaternion<X> &)
+   q4 += q3;
+   check_exact_quaternion_result(q4, 17, 12, 14, 16);
+
+   // using -= (const T &)
+   q4 -= f0;
+   check_exact_quaternion_result(q4, 10, 12, 14, 16);
+
+   // using -= (const quaternion<X> &)
+   q4 -= q3;
+   check_exact_quaternion_result(q4, 5, 6, 7, 8);
+
+    // using *= (const T &)
+   q4 *= f0;
+   check_exact_quaternion_result(q4, 35, 42, 49, 56);
+   // using *= (const quaternion<X> &)
+   q4 *= q3;
+   check_exact_quaternion_result(q4, -868, 420, 490, 560);
+
+   // using /= (const T &)
+   q4 /= f0;
+   check_exact_quaternion_result(q4, -T(868) / 7, T(420) / 7, T(490) / 7, T(560) / 7);
+
+   q4 = q3;
+   q4 /= boost::math::quaternion<T>(9, 4, 6, 2);
+   check_approx_quaternion_result(q4, T(127) / 137, T(68) / 137, T(13) / 137, T(54) / 137);
+   q4 *= boost::math::quaternion<T>(9, 4, 6, 2);
+   check_approx_quaternion_result(q4, 5, 6, 7, 8);
+
+   q4 = boost::math::quaternion<T>(34, 56, 20, 2);
+   // using + (const T &, const quaternion<T> &)
+   q1 = f1 + q4;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const quaternion<T> &, const T &)
+   q1 = q4 + f1;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const T &, const quaternion<T> &)
+   q1 = f0 + q4;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const quaternion<T> &, const T &)
+   q1 = q4 + f0;
+   check_exact_quaternion_result(q1, 41, 56, 20, 2);
+
+   // using + (const quaternion<T> &,const quaternion<T> &)
+   q1 = q3 + q4;
+   check_exact_quaternion_result(q1, 39, 62, 27, 10);
+
+   // using - (const T &, const quaternion<T> &)
+   q1 = f1 - q4;
+   check_exact_quaternion_result(q1, 7-34, -56, -20, -2);
+
+   // using - (const quaternion<T> &, const T &)
+   q1 = q4 - f1;
+   check_exact_quaternion_result(q1, 34-7, 56, 20, 2);
+
+   // using - (const T &, const quaternion<T> &)
+   q1 = f0 - q4;
+   check_exact_quaternion_result(q1, 7-34, -56, -20, -2);
+
+   // using - (const quaternion<T> &, const T &)
+   q1 = q4 - f0;
+   check_exact_quaternion_result(q1, 34-7, 56, 20, 2);
+
+   // using - (const quaternion<T> &,const quaternion<T> &)
+   q1 = q3 - q4;
+   check_exact_quaternion_result(q1, -29, -50, -13, 6);
+
+   // using * (const T &, const quaternion<T> &)
+   q1 = f0 * q4;
+   check_exact_quaternion_result(q1, 238, 392, 140, 14);
+
+   // using * (const quaternion<T> &, const T &)
+   q1 = q4 * f0;
+   check_exact_quaternion_result(q1, 238, 392, 140, 14);
+
+   // using * (const quaternion<T> &,const quaternion<T> &)
+    q1 = q4 * q3;
+   check_exact_quaternion_result(q1, -322, 630, -98, 554);
+    q1 = q3 * q4;
+   check_exact_quaternion_result(q1, -322, 338, 774, 10);
+
+   // using / (const T &, const quaternion<T> &)
+   q1 = T(f0) / q4;
+   check_approx_quaternion_result(q1, T(119) / 2348, -T(49) / 587, -T(35) / 1174, -T(7) / 2348);
+   q1 *= q4;
+   BOOST_CHECK_CLOSE(q1.R_component_1(), T(7), tol);
+   BOOST_CHECK_SMALL(q1.R_component_2(), tol);
+   BOOST_CHECK_SMALL(q1.R_component_3(), tol);
+   BOOST_CHECK_SMALL(q1.R_component_3(), tol);
+
+   // using / (const quaternion<T> &, const T &)
+   q1 = q4 / T(f0);
+   check_approx_quaternion_result(q1, T(34) / 7, T(56) / 7, T(20) / 7, T(2) / 7);
+    
+   // using / (const quaternion<T> &,const quaternion<T> &)
+   q1 = q4 / q3;
+   check_approx_quaternion_result(q1, T(331) / 87, -T(35) / 87, T(149) / 87, -T(89) / 29);
+   q1 *= q3;
+   check_approx_quaternion_result(q1, 34, 56, 20, 2);
+
+   // using + (const quaternion<T> &)
+   q1 = +q4;
+   check_exact_quaternion_result(q1, 34, 56, 20, 2);
+
+   // using - (const quaternion<T> &)
+   q1 = -q4;
+   check_exact_quaternion_result(q1, -34, -56, -20, -2);
+
+   // comparisons:
+   q1 = f0;
+   test_compare(q1, f0, true);
+   q1 += 1;
+   test_compare(q1, f0, false);
+   q1 = q3;
+   test_compare(q1, q3, true);
+   q1 += 1;
+   test_compare(q1, q3, false);
+
+   BOOST_CHECK_EQUAL(boost::lexical_cast<std::string>(q4), "(34,56,20,2)");
+   q1 = boost::lexical_cast<boost::math::quaternion<T> >("(34,56,20,2)");
+   check_exact_quaternion_result(q1, 34, 56, 20, 2);
+
+   q1 = q4 + 1;
+   q1.swap(q4);
+   check_exact_quaternion_result(q1, 34, 56, 20, 2);
+   check_exact_quaternion_result(q4, 35, 56, 20, 2);
+   swap(q1, q4);
+   check_exact_quaternion_result(q1, 35, 56, 20, 2);
+   check_exact_quaternion_result(q4, 34, 56, 20, 2);
+
+   BOOST_CHECK_EQUAL(real(q4), 34);
+   check_exact_quaternion_result(unreal(q1), 0, 56, 20, 2);
+   BOOST_CHECK_EQUAL(sup(q4), 56);
+   BOOST_CHECK_EQUAL(sup(-q4), 56);
+   BOOST_CHECK_EQUAL(l1(q4), 34 + 56 + 20 + 2);
+   BOOST_CHECK_EQUAL(l1(-q4), 34 + 56 + 20 + 2);
+   BOOST_CHECK_CLOSE(abs(q4), boost::lexical_cast<T>("68.52736679604725626189080285032080446623"), tol);
+   BOOST_CHECK_EQUAL(norm(q4), 4696);
+   check_exact_quaternion_result(conj(q4), 34, -56, -20, -2);
+   check_approx_quaternion_result(exp(q4), boost::lexical_cast<T>("-572700109350177.2871954597833265926769952"), boost::lexical_cast<T>("104986825963321.656891930274999993423955"), boost::lexical_cast<T>("37495294986900.59174711795535714050855537"), boost::lexical_cast<T>("3749529498690.059174711795535714050855537"), 300);
+   check_approx_quaternion_result(pow(q4, 3), -321776, -4032, -1440, -144);
+   check_approx_quaternion_result(sin(q4), boost::lexical_cast<T>("18285331065398556228976865.03309127394107"), boost::lexical_cast<T>("-27602822237164214909853379.68314411086089"), boost::lexical_cast<T>("-9858150798987219610661921.315408611021748"), boost::lexical_cast<T>("-985815079898721961066192.1315408611021748"), 40);
+   check_approx_quaternion_result(cos(q4), boost::lexical_cast<T>("-29326963088663226843378365.81173441507358"), boost::lexical_cast<T>("-17210331032912252411431342.73890926302336"), boost::lexical_cast<T>("-6146546797468661575511193.835324736794056"), boost::lexical_cast<T>("-614654679746866157551119.3835324736794056"), 40);
+   if(std::numeric_limits<T>::max_exponent >= std::numeric_limits<double>::max_exponent)
+      check_approx_quaternion_result(tan(q4), boost::lexical_cast<T>("-3.758831069989140832054627039712718213887e-52"), boost::lexical_cast<T>("0.941209703633940052004990419391011076385"), boost::lexical_cast<T>("0.3361463227264071614303537212110753844232"), boost::lexical_cast<T>("0.03361463227264071614303537212110753844232"), 40);
+
+   check_approx_quaternion_result(sinh(q4), boost::lexical_cast<T>("-286350054675088.6435977298916624551903343"), boost::lexical_cast<T>("52493412981660.82844596513750015091043914"), boost::lexical_cast<T>("18747647493450.29587355897767862532515683"), boost::lexical_cast<T>("1874764749345.029587355897767862532515683"), 200);
+   check_approx_quaternion_result(cosh(q4), boost::lexical_cast<T>("-286350054675088.6435977298916641374866609"), boost::lexical_cast<T>("52493412981660.82844596513749984251351591"), boost::lexical_cast<T>("18747647493450.29587355897767851518339854"), boost::lexical_cast<T>("1874764749345.029587355897767851518339854"), 200);
+   if(std::numeric_limits<T>::max_exponent >= std::numeric_limits<double>::max_exponent)
+      check_approx_quaternion_result(tanh(q4), boost::lexical_cast<T>("0.9999999999999999999999999999945544805016"), boost::lexical_cast<T>("-2.075260044344318549117301019071435084233e-30"), boost::lexical_cast<T>("-7.411643015515423389704646496683696729404e-31"), boost::lexical_cast<T>("-7.411643015515423389704646496683696729404e-32"), 200);
+
+#ifndef    BOOST_NO_TEMPLATE_TEMPLATES
+   check_approx_quaternion_result(sinc_pi(q4), boost::lexical_cast<T>("-239180458943182912968898.352151239530846"), boost::lexical_cast<T>("-417903427539587405399855.0577257263862799"), boost::lexical_cast<T>("-149251224121281216214233.9491877594236714"), boost::lexical_cast<T>("-14925122412128121621423.39491877594236714"), 200);
+   check_approx_quaternion_result(sinhc_pi(q4), boost::lexical_cast<T>("-1366603120232.604666248483234115586439226"), boost::lexical_cast<T>("3794799638667.255581055299959135992677524"), boost::lexical_cast<T>("1355285585238.305564662607128262854527687"), boost::lexical_cast<T>("135528558523.8305564662607128262854527687"), 200);
+#endif
+   //
+   // Construction variations:
+   //
+   T rho = boost::math::constants::root_two<T>() * 2;
+   T theta = boost::math::constants::pi<T>() / 4;
+   T phi1 = theta;
+   T phi2 = theta;
+   q1 = ::boost::math::spherical(rho, theta, phi1, phi2);
+   check_approx_quaternion_result(q1, 1, 1, boost::math::constants::root_two<T>(), 2, 10);
+   T alpha = theta;
+   q1 = ::boost::math::semipolar(rho, alpha, phi1, phi2);
+   check_approx_quaternion_result(q1, boost::math::constants::root_two<T>(), boost::math::constants::root_two<T>(), boost::math::constants::root_two<T>(), boost::math::constants::root_two<T>(), 10);
+   T rho1 = 1;
+   T rho2 = 2;
+   T theta1 = 0;
+   T theta2 = boost::math::constants::half_pi<T>();
+   q1 = ::boost::math::multipolar(rho1, theta1, rho2, theta2);
+   check_approx_quaternion_result(q1, 1, 0, 0, 2, 10);
+   T t = 5;
+   T radius = boost::math::constants::root_two<T>();
+   T longitude = boost::math::constants::pi<T>() / 4;
+   T latitude = boost::math::constants::pi<T>() / 3;
+   q1 = ::boost::math::cylindrospherical(t, radius, longitude, latitude);
+   check_approx_quaternion_result(q1, 5, 0.5, 0.5, boost::lexical_cast<T>("1.224744871391589049098642037352945695983"), 10);
+   T r = boost::math::constants::root_two<T>();
+   T angle = boost::math::constants::pi<T>() / 4;
+   T h1 = 3;
+   T h2 = 4;
+   q1 = ::boost::math::cylindrical(r, angle, h1, h2);
+   check_approx_quaternion_result(q1, 1, 1, 3, 4, 10);
+
+   ::boost::math::quaternion<T>        quaternion_1(1);
+   ::boost::math::quaternion<T>        quaternion_i(0, 1);
+   ::boost::math::quaternion<T>        quaternion_j(0, 0, 1);
+   ::boost::math::quaternion<T>        quaternion_k(0, 0, 0, 1);
+   check_exact_quaternion_result(quaternion_1 * quaternion_1, 1, 0, 0, 0);
+   check_exact_quaternion_result(quaternion_1 * quaternion_i, 0, 1, 0, 0);
+   check_exact_quaternion_result(quaternion_1 * quaternion_j, 0, 0, 1, 0);
+   check_exact_quaternion_result(quaternion_1 * quaternion_k, 0, 0, 0, 1);
+
+   check_exact_quaternion_result(quaternion_i * quaternion_1, 0, 1, 0, 0);
+   check_exact_quaternion_result(quaternion_i * quaternion_i, -1, 0, 0, 0);
+   check_exact_quaternion_result(quaternion_i * quaternion_j, 0, 0, 0, 1);
+   check_exact_quaternion_result(quaternion_i * quaternion_k, 0, 0, -1, 0);
+
+   check_exact_quaternion_result(quaternion_j * quaternion_1, 0, 0, 1, 0);
+   check_exact_quaternion_result(quaternion_j * quaternion_i, 0, 0, 0, -1);
+   check_exact_quaternion_result(quaternion_j * quaternion_j, -1, 0, 0, 0);
+   check_exact_quaternion_result(quaternion_j * quaternion_k, 0, 1, 0, 0);
+
+   check_exact_quaternion_result(quaternion_k * quaternion_1, 0, 0, 0, 1);
+   check_exact_quaternion_result(quaternion_k * quaternion_i, 0, 0, 1, 0);
+   check_exact_quaternion_result(quaternion_k * quaternion_j, 0, -1, 0, 0);
+   check_exact_quaternion_result(quaternion_k * quaternion_k, -1, 0, 0, 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiplication_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing multiplication for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(1,0,0,0)*
+             ::boost::math::quaternion<T>(1,0,0,0)-static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,1,0,0)*
+             ::boost::math::quaternion<T>(0,1,0,0)+static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,1,0)*
+             ::boost::math::quaternion<T>(0,0,1,0)+static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,0,1)*
+             ::boost::math::quaternion<T>(0,0,0,1)+static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,1,0,0)*
+             ::boost::math::quaternion<T>(0,0,1,0)-
+             ::boost::math::quaternion<T>(0,0,0,1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,1,0)*
+             ::boost::math::quaternion<T>(0,1,0,0)+
+             ::boost::math::quaternion<T>(0,0,0,1)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,1,0)*
+             ::boost::math::quaternion<T>(0,0,0,1)-
+             ::boost::math::quaternion<T>(0,1,0,0)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,0,1)*
+             ::boost::math::quaternion<T>(0,0,1,0)+
+             ::boost::math::quaternion<T>(0,1,0,0)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,0,0,1)*
+             ::boost::math::quaternion<T>(0,1,0,0)-
+             ::boost::math::quaternion<T>(0,0,1,0)))
+        (numeric_limits<T>::epsilon()));
+    
+    BOOST_REQUIRE_PREDICATE(::std::less_equal<T>(),
+        (abs(::boost::math::quaternion<T>(0,1,0,0)*
+             ::boost::math::quaternion<T>(0,0,0,1)+
+             ::boost::math::quaternion<T>(0,0,1,0)))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(exp_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing exp for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(exp(::boost::math::quaternion<T>
+             (0,4*atan(static_cast<T>(1)),0,0))+static_cast<T>(1)))
+        (2*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(exp(::boost::math::quaternion<T>
+             (0,0,4*atan(static_cast<T>(1)),0))+static_cast<T>(1)))
+        (2*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(exp(::boost::math::quaternion<T>
+             (0,0,0,4*atan(static_cast<T>(1))))+static_cast<T>(1)))
+        (2*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cos_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::log;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing cos for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T>
+             (0,log(static_cast<T>(2)),0,0))-static_cast<T>(5)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T>
+             (0,0,log(static_cast<T>(2)),0))-static_cast<T>(5)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*cos(::boost::math::quaternion<T>
+             (0,0,0,log(static_cast<T>(2))))-static_cast<T>(5)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sin_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::log;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing sin for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T>
+             (0,log(static_cast<T>(2)),0,0))
+             -::boost::math::quaternion<T>(0,3,0,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T>
+             (0,0,log(static_cast<T>(2)),0))
+             -::boost::math::quaternion<T>(0,0,3,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(static_cast<T>(4)*sin(::boost::math::quaternion<T>
+             (0,0,0,log(static_cast<T>(2))))
+             -::boost::math::quaternion<T>(0,0,0,3)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cosh_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing cosh for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(cosh(::boost::math::quaternion<T>
+             (0,4*atan(static_cast<T>(1)),0,0))
+             +static_cast<T>(1)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(cosh(::boost::math::quaternion<T>
+             (0,0,4*atan(static_cast<T>(1)),0))
+             +static_cast<T>(1)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(cosh(::boost::math::quaternion<T>
+             (0,0,0,4*atan(static_cast<T>(1))))
+             +static_cast<T>(1)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinh_test, T, test_types)
+{
+#if     BOOST_WORKAROUND(__GNUC__, < 3)
+#else   /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    using ::std::numeric_limits;
+    
+    using ::std::atan;
+    
+    using ::boost::math::abs;
+#endif  /* BOOST_WORKAROUND(__GNUC__, < 3) */
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinh for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinh(::boost::math::quaternion<T>
+             (0,2*atan(static_cast<T>(1)),0,0))
+             -::boost::math::quaternion<T>(0,1,0,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinh(::boost::math::quaternion<T>
+             (0,0,2*atan(static_cast<T>(1)),0))
+             -::boost::math::quaternion<T>(0,0,1,0)))
+        (4*numeric_limits<T>::epsilon()));
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinh(::boost::math::quaternion<T>
+             (0,0,0,2*atan(static_cast<T>(1))))
+             -::boost::math::quaternion<T>(0,0,0,1)))
+        (4*numeric_limits<T>::epsilon()));
+}
+
diff --git a/src/boost/libs/math/test/quintic_hermite_test.cpp b/src/boost/libs/math/test/quintic_hermite_test.cpp
new file mode 100644
index 000000000..05299bae3
--- /dev/null
+++ b/src/boost/libs/math/test/quintic_hermite_test.cpp
@@ -0,0 +1,580 @@
+/*
+ * Copyright Nick Thompson, 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <vector>
+#include <array>
+#include <boost/random/uniform_real.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <boost/math/interpolators/quintic_hermite.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/circular_buffer.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::interpolators::quintic_hermite;
+using boost::math::interpolators::cardinal_quintic_hermite;
+using boost::math::interpolators::cardinal_quintic_hermite_aos;
+
+template<typename Real>
+void test_constant()
+{
+    std::vector<Real> x{0,1,2,3, 9, 22, 81};
+    std::vector<Real> y(x.size());
+    std::vector<Real> dydx(x.size(), 0);
+    std::vector<Real> d2ydx2(x.size(), 0);
+    for (auto & t : y)
+    {
+        t = 7;
+    }
+
+    auto qh = quintic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2));
+    for (Real t = 0; t <= 81; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(7), qh(t), 24);
+        CHECK_ULP_CLOSE(Real(0), qh.prime(t), 24);
+        CHECK_ULP_CLOSE(Real(0), qh.double_prime(t), 24);
+    }
+}
+
+
+template<typename Real>
+void test_linear()
+{
+    std::vector<Real> x{0,1,2,3, 4,5,6,7,8,9};
+    std::vector<Real> y = x;
+    std::vector<Real> dydx(x.size(), 1);
+    std::vector<Real> d2ydx2(x.size(), 0);
+
+    auto qh = quintic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2));
+
+    for (Real t = 0; t <= 9; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(t), qh(t), 2);
+        CHECK_ULP_CLOSE(Real(1), qh.prime(t), 2);
+        CHECK_ULP_CLOSE(Real(0), qh.double_prime(t), 2);
+    }
+
+    boost::random::mt19937 rng;
+    boost::random::uniform_real_distribution<Real> dis(0.5,1);
+    x.resize(512);
+    x[0] = dis(rng);
+    Real xmin = x[0];
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(rng);
+    }
+    Real xmax = x.back();
+
+    y = x;
+    dydx.resize(x.size(), 1);
+    d2ydx2.resize(x.size(), 0);
+
+    qh = quintic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2));
+
+    for (Real t = xmin; t <= xmax; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(t, qh(t), 2);
+        CHECK_ULP_CLOSE(Real(1), qh.prime(t), 100);
+        CHECK_MOLLIFIED_CLOSE(Real(0), qh.double_prime(t), 200*std::numeric_limits<Real>::epsilon());
+    }
+}
+
+template<typename Real>
+void test_quadratic()
+{
+
+    std::vector<Real> x{0,1,2,3, 4,5,6,7,8,9};
+    std::vector<Real> y(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]/2;
+    }
+
+    std::vector<Real> dydx(x.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        dydx[i] = x[i];
+    }
+
+    std::vector<Real> d2ydx2(x.size(), 1);
+
+    auto qh = quintic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2));
+
+    for (Real t = 0; t <= 9; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(Real(t*t)/2, qh(t), 2);
+        CHECK_ULP_CLOSE(t, qh.prime(t), 12);
+        CHECK_ULP_CLOSE(Real(1), qh.double_prime(t), 32);
+    }
+
+    boost::random::mt19937 rng;
+    boost::random::uniform_real_distribution<Real> dis(0.5,1);
+    x.resize(8);
+    x[0] = dis(rng);
+    Real xmin = x[0];
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(rng);
+    }
+    Real xmax = x.back();
+
+    y.resize(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]/2;
+    }
+
+    dydx.resize(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        dydx[i] = x[i];
+    }
+
+    d2ydx2.resize(x.size(), 1);
+
+    qh = quintic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2));
+
+    for (Real t = xmin; t <= xmax; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(Real(t*t)/2, qh(t), 4);
+        CHECK_ULP_CLOSE(t, qh.prime(t), 53);
+        CHECK_ULP_CLOSE(Real(1), qh.double_prime(t), 700);
+    }
+}
+
+template<typename Real>
+void test_cubic()
+{
+
+    std::vector<Real> x{0,1,2,3, 4,5,6,7,8,9};
+    std::vector<Real> y(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]*x[i];
+    }
+
+    std::vector<Real> dydx(x.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        dydx[i] = 3*x[i]*x[i];
+    }
+
+    std::vector<Real> d2ydx2(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        d2ydx2[i] = 6*x[i];
+    }
+
+    auto qh = quintic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2));
+
+    for (Real t = 0; t <= 9; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t*t, qh(t), 10);
+        CHECK_ULP_CLOSE(3*t*t, qh.prime(t), 15);
+        CHECK_ULP_CLOSE(6*t, qh.double_prime(t), 20);
+    }
+}
+
+template<typename Real>
+void test_quartic()
+{
+
+    std::vector<Real> x{0,1,2,3, 4,5,6,7,8,9, 10, 11};
+    std::vector<Real> y(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]*x[i]*x[i];
+    }
+
+    std::vector<Real> dydx(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        dydx[i] = 4*x[i]*x[i]*x[i];
+    }
+
+    std::vector<Real> d2ydx2(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        d2ydx2[i] = 12*x[i]*x[i];
+    }
+
+    auto qh = quintic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2));
+
+    for (Real t = 1; t <= 11; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t*t*t, qh(t), 100);
+        CHECK_ULP_CLOSE(4*t*t*t, qh.prime(t), 100);
+        CHECK_ULP_CLOSE(12*t*t, qh.double_prime(t), 100);
+    }
+}
+
+
+template<typename Real>
+void test_interpolation_condition()
+{
+    for (size_t n = 4; n < 50; ++n) {
+        std::vector<Real> x(n);
+        std::vector<Real> y(n);
+        std::vector<Real> dydx(n);
+        std::vector<Real> d2ydx2(n);
+        boost::random::mt19937 rd; 
+        boost::random::uniform_real_distribution<Real> dis(0,1);
+        Real x0 = dis(rd);
+        x[0] = x0;
+        y[0] = dis(rd);
+        for (size_t i = 1; i < n; ++i) {
+            x[i] = x[i-1] + dis(rd);
+            y[i] = dis(rd);
+            dydx[i] = dis(rd);
+            d2ydx2[i] = dis(rd);
+        }
+
+        auto x_copy = x;
+        auto y_copy = y;
+        auto dydx_copy = dydx;
+        auto d2ydx2_copy = d2ydx2;
+        auto s = quintic_hermite(std::move(x_copy), std::move(y_copy), std::move(dydx_copy), std::move(d2ydx2_copy));
+        //std::cout << "s = " << s << "\n";
+        for (size_t i = 0; i < x.size(); ++i) {
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+            CHECK_ULP_CLOSE(dydx[i], s.prime(x[i]), 2);
+            CHECK_ULP_CLOSE(d2ydx2[i], s.double_prime(x[i]), 2);
+        }
+    }
+}
+
+template<typename Real>
+void test_cardinal_constant()
+{
+
+    std::vector<Real> y(25);
+    std::vector<Real> dydx(y.size(), 0);
+    std::vector<Real> d2ydx2(y.size(), 0);
+    for (auto & t : y) {
+        t = 7;
+    }
+    Real x0 = 4;
+    Real dx = Real(1)/Real(8);
+
+    auto qh = cardinal_quintic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), x0, dx);
+
+    for (Real t = x0; t <= x0 + 24*dx; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(7), qh(t), 24);
+        CHECK_ULP_CLOSE(Real(0), qh.prime(t), 24);
+        CHECK_ULP_CLOSE(Real(0), qh.double_prime(t), 24);
+    }
+
+    std::vector<std::array<Real, 3>> data(25);
+    for (size_t i = 0; i < data.size(); ++i)
+    {
+        data[i][0] = 7;
+        data[i][1] = 0;
+        data[i][2] = 0;
+    }
+
+    auto qh_aos = cardinal_quintic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = x0; t <= x0 + 24*dx; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(7), qh_aos(t), 24);
+        CHECK_ULP_CLOSE(Real(0), qh_aos.prime(t), 24);
+        CHECK_ULP_CLOSE(Real(0), qh_aos.double_prime(t), 24);
+    }
+
+    // Now check the boundaries:
+    auto [tlo, thi] = qh.domain();
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(7), qh(tlo), 2);
+        CHECK_ULP_CLOSE(Real(7), qh(thi), 2);
+        CHECK_ULP_CLOSE(Real(7), qh_aos(tlo), 2);
+        CHECK_ULP_CLOSE(Real(7), qh_aos(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), qh.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), qh.prime(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), qh_aos.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), qh_aos.prime(thi), 2);
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+}
+
+
+template<typename Real>
+void test_cardinal_linear()
+{
+    std::vector<Real> y{0,1,2,3,4,5,6,7,8,9};
+    Real x0 = 0;
+    Real dx = 1;
+    std::vector<Real> dydx(y.size(), 1);
+    std::vector<Real> d2ydx2(y.size(), 0);
+
+    auto qh = cardinal_quintic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), x0, dx);
+
+    for (Real t = 0; t <= 9; t += 0.25) {
+        CHECK_ULP_CLOSE(Real(t), qh(t), 2);
+        CHECK_ULP_CLOSE(Real(1), qh.prime(t), 2);
+        CHECK_ULP_CLOSE(Real(0), qh.double_prime(t), 2);
+    }
+
+    std::vector<std::array<Real, 3>> data(10);
+    for (size_t i = 0; i < data.size(); ++i) {
+        data[i][0] = i;
+        data[i][1] = 1;
+        data[i][2] = 0;
+    }
+
+    auto qh_aos = cardinal_quintic_hermite_aos(std::move(data), x0, dx);
+
+    for (Real t = 0; t <= 9; t += 0.25) {
+        CHECK_ULP_CLOSE(Real(t), qh_aos(t), 2);
+        CHECK_ULP_CLOSE(Real(1), qh_aos.prime(t), 2);
+        CHECK_ULP_CLOSE(Real(0), qh_aos.double_prime(t), 2);
+    }
+
+    // Now check the boundaries:
+    auto [tlo, thi] = qh.domain();
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(tlo), qh(tlo), 2);
+        CHECK_ULP_CLOSE(Real(thi), qh(thi), 2);
+        CHECK_ULP_CLOSE(Real(tlo), qh_aos(tlo), 2);
+        CHECK_ULP_CLOSE(Real(thi), qh_aos(thi), 2);
+        CHECK_ULP_CLOSE(Real(1), qh.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(1), qh.prime(thi), 128);
+        CHECK_ULP_CLOSE(Real(1), qh_aos.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(1), qh_aos.prime(thi), 128);
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+}
+
+template<typename Real>
+void test_cardinal_quadratic()
+{
+    Real x0 = 0;
+    Real dx = 1;
+    std::vector<Real> y(10);
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = i*i/Real(2);
+    }
+
+    std::vector<Real> dydx(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        dydx[i] = i;
+    }
+
+    std::vector<Real> d2ydx2(y.size(), 1);
+
+    auto qh = cardinal_quintic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), x0, dx);
+
+    for (Real t = 0; t <= 9; t += 0.0078125) {
+        Real computed = qh(t);
+        CHECK_ULP_CLOSE(Real(t*t)/2, computed, 2);
+        CHECK_ULP_CLOSE(t, qh.prime(t), 15);
+        CHECK_ULP_CLOSE(Real(1), qh.double_prime(t), 32);
+    }
+
+    std::vector<std::array<Real, 3>> data(10);
+    for (size_t i = 0; i < data.size(); ++i) {
+        data[i][0] = i*i/Real(2);
+        data[i][1] = i;
+        data[i][2] = 1;
+    }
+    auto qh_aos = cardinal_quintic_hermite_aos(std::move(data), x0, dx);
+
+    for (Real t = 0; t <= 9; t += 0.0078125)
+    {
+        Real computed = qh_aos(t);
+        CHECK_ULP_CLOSE(Real(t*t)/2, computed, 2);
+        CHECK_ULP_CLOSE(t, qh_aos.prime(t), 12);
+        CHECK_ULP_CLOSE(Real(1), qh_aos.double_prime(t), 64);
+    }
+
+        // Now check the boundaries:
+    auto [tlo, thi] = qh.domain();
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(tlo*tlo/2, qh(tlo), 16);
+        CHECK_ULP_CLOSE(thi*thi/2, qh(thi), 16);
+        CHECK_ULP_CLOSE(tlo*tlo/2, qh_aos(tlo), 16);
+        CHECK_ULP_CLOSE(thi*thi/2, qh_aos(thi), 16);
+        CHECK_ULP_CLOSE(tlo, qh.prime(tlo), 16);
+        CHECK_ULP_CLOSE(thi, qh.prime(thi), 64);
+        CHECK_ULP_CLOSE(tlo, qh_aos.prime(tlo), 16);
+        CHECK_ULP_CLOSE(thi, qh_aos.prime(thi), 64);
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+}
+
+template<typename Real>
+void test_cardinal_cubic()
+{
+    Real x0 = 0;
+    Real dx = 1;
+    std::vector<Real> y(10);
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = i*i*i;
+    }
+
+    std::vector<Real> dydx(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        dydx[i] = 3*i*i;
+    }
+
+    std::vector<Real> d2ydx2(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        d2ydx2[i] = 6*i;
+    }
+
+    auto qh = cardinal_quintic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), x0, dx);
+
+    for (Real t = 0; t <= 9; t += 0.0078125)
+    {
+        Real computed = qh(t);
+        CHECK_ULP_CLOSE(t*t*t, computed, 10);
+        CHECK_ULP_CLOSE(3*t*t, qh.prime(t), 15);
+        CHECK_ULP_CLOSE(6*t, qh.double_prime(t), 39);
+    }
+
+    std::vector<std::array<Real, 3>> data(10);
+    for (size_t i = 0; i < data.size(); ++i) {
+        data[i][0] = i*i*i;
+        data[i][1] = 3*i*i;
+        data[i][2] = 6*i;
+    }
+
+    auto qh_aos = cardinal_quintic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = 0; t <= 9; t += 0.0078125)
+    {
+        Real computed = qh_aos(t);
+        CHECK_ULP_CLOSE(t*t*t, computed, 10);
+        CHECK_ULP_CLOSE(3*t*t, qh_aos.prime(t), 15);
+        CHECK_ULP_CLOSE(6*t, qh_aos.double_prime(t), 30);
+    }
+}
+
+template<typename Real>
+void test_cardinal_quartic()
+{
+    Real x0 = 0;
+    Real dx = 1;
+    std::vector<Real> y(7);
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = i*i*i*i;
+    }
+
+    std::vector<Real> dydx(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        dydx[i] = 4*i*i*i;
+    }
+
+    std::vector<Real> d2ydx2(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        d2ydx2[i] = 12*i*i;
+    }
+
+    auto qh = cardinal_quintic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), x0, dx);
+
+    for (Real t = 0; t <= 6; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(Real(t*t*t*t), qh(t), 250);
+        CHECK_ULP_CLOSE(4*t*t*t, qh.prime(t), 250);
+        CHECK_ULP_CLOSE(12*t*t, qh.double_prime(t), 250);
+    }
+
+    std::vector<std::array<Real, 3>> data(7);
+    for (size_t i = 0; i < data.size(); ++i) {
+        data[i][0] = i*i*i*i;
+        data[i][1] = 4*i*i*i;
+        data[i][2] = 12*i*i;
+    }
+
+    auto qh_aos = cardinal_quintic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = 0; t <= 6; t += 0.0078125)
+    {
+        Real computed = qh_aos(t);
+        CHECK_ULP_CLOSE(t*t*t*t, computed, 10);
+        CHECK_ULP_CLOSE(4*t*t*t, qh_aos.prime(t), 64);
+        CHECK_ULP_CLOSE(12*t*t, qh_aos.double_prime(t), 128);
+    }
+}
+
+
+int main()
+{
+    test_constant<float>();
+    test_linear<float>();
+    test_quadratic<float>();
+    test_cubic<float>();
+    test_quartic<float>();
+    test_interpolation_condition<float>();
+
+    test_cardinal_constant<float>();
+    test_cardinal_linear<float>();
+    test_cardinal_quadratic<float>();
+    test_cardinal_cubic<float>();
+    test_cardinal_quartic<float>();
+
+    test_constant<double>();
+    test_linear<double>();
+    test_quadratic<double>();
+    test_cubic<double>();
+    test_quartic<double>();
+    test_interpolation_condition<double>();
+
+    test_cardinal_constant<double>();
+    test_cardinal_linear<double>();
+    test_cardinal_quadratic<double>();
+    test_cardinal_cubic<double>();
+    test_cardinal_quartic<double>();
+
+    test_constant<long double>();
+    test_linear<long double>();
+    test_quadratic<long double>();
+    test_cubic<long double>();
+    test_quartic<long double>();
+    test_interpolation_condition<long double>();
+
+    test_cardinal_constant<long double>();
+    test_cardinal_linear<long double>();
+    test_cardinal_quadratic<long double>();
+    test_cardinal_cubic<long double>();
+    test_cardinal_quartic<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_constant<float128>();
+    //test_linear<float128>();
+    test_quadratic<float128>();
+    test_cubic<float128>();
+    test_quartic<float128>();
+    test_interpolation_condition<float128>();
+    test_cardinal_constant<float128>();
+    test_cardinal_linear<float128>();
+    test_cardinal_quadratic<float128>();
+    test_cardinal_cubic<float128>();
+    test_cardinal_quartic<float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/s_.ipp b/src/boost/libs/math/test/s_.ipp
new file mode 100644
index 000000000..a9cc74689
--- /dev/null
+++ b/src/boost/libs/math/test/s_.ipp
@@ -0,0 +1,68 @@
+#ifndef BOOST_MATH_S__HPP
+#define BOOST_MATH_S__HPP
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2012 Paul A. Bristow
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// The macro S_ lets you write
+//
+//     basic_string<CharType> s = S_("foo");
+// and
+//     CharType c = S_('a');
+//
+// provided that CharType is either char or wchar_t.
+// Used by tests of output of signed zero and others.
+
+#ifdef _MSC_VER
+#   pragma warning(push)
+#   pragma warning(disable : 4512) // conditional expression is constant.
+#endif
+
+#include <string>
+
+//------------------------------------------------------------------------------
+
+#define S_(a) make_literal_helper(a, L##a)
+
+class char_literal_helper {
+public:
+    char_literal_helper(char c, wchar_t wc) : c_(c), wc_(wc) {}
+    operator char() { return c_; }
+    operator wchar_t() { return wc_; }
+private:
+    const char c_;
+    const wchar_t wc_;
+};
+
+class string_literal_helper {
+public:
+    string_literal_helper(const char* s, const wchar_t* ws) : s_(s), ws_(ws) {}
+    operator std::string() { return s_; }
+    operator std::wstring() { return ws_; }
+private:
+    const char* s_;
+    const wchar_t* ws_;
+};
+
+inline char_literal_helper make_literal_helper(char c, wchar_t wc)
+{
+    return char_literal_helper(c, wc);
+}
+
+inline string_literal_helper make_literal_helper(const char* s, const wchar_t* ws)
+{
+    return string_literal_helper(s, ws);
+}
+
+//------------------------------------------------------------------------------
+
+#ifdef _MSC_VER
+#   pragma warning(pop)
+#endif
+
+#endif // BOOST_MATH_S__HPP
+
diff --git a/src/boost/libs/math/test/septic_hermite_test.cpp b/src/boost/libs/math/test/septic_hermite_test.cpp
new file mode 100644
index 000000000..cd60acbe2
--- /dev/null
+++ b/src/boost/libs/math/test/septic_hermite_test.cpp
@@ -0,0 +1,530 @@
+/*
+ * Copyright Nick Thompson, 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <array>
+#include <boost/random/uniform_real.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <boost/math/interpolators/septic_hermite.hpp>
+#include <boost/math/special_functions/next.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::interpolators::septic_hermite;
+using boost::math::interpolators::cardinal_septic_hermite;
+using boost::math::interpolators::cardinal_septic_hermite_aos;
+
+template<typename Real>
+void test_constant()
+{
+
+    std::vector<Real> x{0,1,2,3, 9, 22, 81};
+    std::vector<Real> y(x.size());
+    std::vector<Real> dydx(x.size(), 0);
+    std::vector<Real> d2ydx2(x.size(), 0);
+    std::vector<Real> d3ydx3(x.size(), 0);
+    for (auto & t : y)
+    {
+        t = 7;
+    }
+
+    auto sh = septic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3));
+
+    for (Real t = 0; t <= 81; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(7), sh(t), 24);
+        CHECK_ULP_CLOSE(Real(0), sh.prime(t), 24);
+    }
+
+    Real x0 = 0;
+    Real dx = 1;
+    y.resize(128, 7);
+    dydx.resize(128, 0);
+    d2ydx2.resize(128, 0);
+    d3ydx3.resize(128, 0);
+    auto csh = cardinal_septic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3), x0, dx);
+    for (Real t = x0; t <= 127; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(7), csh(t), 24);
+        CHECK_ULP_CLOSE(Real(0), csh.prime(t), 24);
+        CHECK_ULP_CLOSE(Real(0), csh.double_prime(t), 24);
+    }
+
+    std::vector<std::array<Real, 4>> data(128);
+    for (size_t i = 0; i < data.size(); ++i)
+    {
+        data[i][0] = 7;
+        data[i][1] = 0;
+        data[i][2] = 0;
+        data[i][3] = 0;
+    }
+    auto csh_aos = cardinal_septic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = x0; t <= 127; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(7), csh_aos(t), 24);
+        CHECK_ULP_CLOSE(Real(0), csh_aos.prime(t), 24);
+        CHECK_ULP_CLOSE(Real(0), csh_aos.double_prime(t), 24);
+    }
+
+    // Now check the boundaries:
+    auto [tlo, thi] = csh.domain();
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(7), csh(tlo), 2);
+        CHECK_ULP_CLOSE(Real(7), csh(thi), 2);
+        CHECK_ULP_CLOSE(Real(7), csh_aos(tlo), 2);
+        CHECK_ULP_CLOSE(Real(7), csh_aos(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), csh.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), csh.prime(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), csh_aos.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), csh_aos.prime(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), csh.double_prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), csh.double_prime(thi), 2);
+        CHECK_ULP_CLOSE(Real(0), csh_aos.double_prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(0), csh_aos.double_prime(thi), 2);
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+
+}
+
+
+template<typename Real>
+void test_linear()
+{
+    std::vector<Real> x{0,1,2,3,4,5,6,7,8,9};
+    std::vector<Real> y = x;
+    std::vector<Real> dydx(x.size(), 1);
+    std::vector<Real> d2ydx2(x.size(), 0);
+    std::vector<Real> d3ydx3(x.size(), 0);
+
+    auto sh = septic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3));
+
+    for (Real t = 0; t <= 9; t += 0.25)
+    {
+        CHECK_ULP_CLOSE(Real(t), sh(t), 2);
+        CHECK_ULP_CLOSE(Real(1), sh.prime(t), 2);
+    }
+
+    boost::random::mt19937 rng;
+    boost::random::uniform_real_distribution<Real> dis(0.5,1);
+    x.resize(512);
+    x[0] = dis(rng);
+    Real xmin = x[0];
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(rng);
+    }
+    Real xmax = x.back();
+
+    y = x;
+    dydx.resize(x.size(), 1);
+    d2ydx2.resize(x.size(), 0);
+    d3ydx3.resize(x.size(), 0);
+
+    sh = septic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3));
+
+    for (Real t = xmin; t <= xmax; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(t, sh(t), 25);
+        CHECK_ULP_CLOSE(Real(1), sh.prime(t), 850);
+    }
+
+    Real x0 = 0;
+    Real dx = 1;
+    y.resize(10);
+    dydx.resize(10, 1);
+    d2ydx2.resize(10, 0);
+    d3ydx3.resize(10, 0);
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = i;
+    }
+    auto csh = cardinal_septic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3), x0, dx);
+    for (Real t = 0; t <= 9; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(t, csh(t), 15);
+        CHECK_ULP_CLOSE(Real(1), csh.prime(t), 15);
+        CHECK_ULP_CLOSE(Real(0), csh.double_prime(t), 15);
+    }
+
+    std::vector<std::array<Real, 4>> data(10);
+    for (size_t i = 0; i < data.size(); ++i)
+    {
+        data[i][0] = i;
+        data[i][1] = 1;
+        data[i][2] = 0;
+        data[i][3] = 0;
+    }
+    auto csh_aos = cardinal_septic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = 0; t <= 9; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(t, csh_aos(t), 15);
+        CHECK_ULP_CLOSE(Real(1), csh_aos.prime(t), 15);
+        CHECK_ULP_CLOSE(Real(0), csh_aos.double_prime(t), 15);
+    }
+
+    // Now check the boundaries:
+    auto [tlo, thi] = csh.domain();
+    int samples = 5000;
+    int i = 0;
+    while (i++ < samples)
+    {
+        CHECK_ULP_CLOSE(Real(tlo), csh(tlo), 2);
+        CHECK_ULP_CLOSE(Real(thi), csh(thi), 8);
+        CHECK_ULP_CLOSE(Real(tlo), csh_aos(tlo), 2);
+        CHECK_ULP_CLOSE(Real(thi), csh_aos(thi), 8);
+        CHECK_ULP_CLOSE(Real(1), csh.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(1), csh.prime(thi), 700);
+        CHECK_ULP_CLOSE(Real(1), csh_aos.prime(tlo), 2);
+        CHECK_ULP_CLOSE(Real(1), csh_aos.prime(thi), 700);
+        CHECK_MOLLIFIED_CLOSE(Real(0), csh.double_prime(tlo), std::numeric_limits<Real>::epsilon());
+        CHECK_MOLLIFIED_CLOSE(Real(0), csh.double_prime(thi), 1200*std::numeric_limits<Real>::epsilon());
+        CHECK_MOLLIFIED_CLOSE(Real(0), csh_aos.double_prime(tlo), std::numeric_limits<Real>::epsilon());
+        CHECK_MOLLIFIED_CLOSE(Real(0), csh_aos.double_prime(thi), 1200*std::numeric_limits<Real>::epsilon());
+
+        tlo = boost::math::nextafter(tlo, std::numeric_limits<Real>::max());
+        thi = boost::math::nextafter(thi, std::numeric_limits<Real>::lowest());
+    }
+
+}
+
+template<typename Real>
+void test_quadratic()
+{
+    std::vector<Real> x{0,1,2,3,4,5,6,7,8,9};
+    std::vector<Real> y(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]/2;
+    }
+
+    std::vector<Real> dydx(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        dydx[i] = x[i];
+    }
+
+    std::vector<Real> d2ydx2(x.size(), 1);
+    std::vector<Real> d3ydx3(x.size(), 0);
+
+    auto sh = septic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3));
+
+    for (Real t = 0; t <= 9; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t/2, sh(t), 100);
+        CHECK_ULP_CLOSE(t, sh.prime(t), 32);
+    }
+
+    boost::random::mt19937 rng;
+    boost::random::uniform_real_distribution<Real> dis(0.5,1);
+    x.resize(8);
+    x[0] = dis(rng);
+    Real xmin = x[0];
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(rng);
+    }
+    Real xmax = x.back();
+
+    y.resize(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]/2;
+    }
+
+    dydx.resize(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        dydx[i] = x[i];
+    }
+
+    d2ydx2.resize(x.size(), 1);
+    d3ydx3.resize(x.size(), 0); 
+
+    sh = septic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3));
+
+    for (Real t = xmin; t <= xmax; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(t*t/2, sh(t), 50);
+        CHECK_ULP_CLOSE(t, sh.prime(t), 300);
+    }
+
+    y.resize(10);
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = i*i/Real(2);
+    }
+
+    dydx.resize(y.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        dydx[i] = i;
+    }
+
+    d2ydx2.resize(y.size(), 1);
+    d3ydx3.resize(y.size(), 0);
+
+    Real x0 = 0;
+    Real dx = 1;
+    auto csh = cardinal_septic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3), x0, dx);
+    for (Real t = x0; t <= 9; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(t*t/2, csh(t), 24);
+        CHECK_ULP_CLOSE(t, csh.prime(t), 24);
+        CHECK_ULP_CLOSE(Real(1), csh.double_prime(t), 24);
+    }
+
+    std::vector<std::array<Real, 4>> data(10);
+    for (size_t i = 0; i < data.size(); ++i)
+    {
+        data[i][0] = i*i/Real(2);
+        data[i][1] = i;
+        data[i][2] = 1;
+        data[i][3] = 0;
+    }
+    auto csh_aos = cardinal_septic_hermite_aos(std::move(data), x0, dx);
+    for (Real t = x0; t <= 9; t += 0.125)
+    {
+        CHECK_ULP_CLOSE(t*t/2, csh_aos(t), 24);
+        CHECK_ULP_CLOSE(t, csh_aos.prime(t), 24);
+        CHECK_ULP_CLOSE(Real(1), csh_aos.double_prime(t), 24);
+    }
+}
+
+
+
+template<typename Real>
+void test_cubic()
+{
+
+    std::vector<Real> x{0,1,2,3,4,5,6,7};
+    Real xmax = x.back();
+    std::vector<Real> y(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]*x[i];
+    }
+
+    std::vector<Real> dydx(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        dydx[i] = 3*x[i]*x[i];
+    }
+
+    std::vector<Real> d2ydx2(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        d2ydx2[i] = 6*x[i];
+    }
+    std::vector<Real> d3ydx3(x.size(), 6);
+
+    auto sh = septic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3));
+
+    for (Real t = 0; t <= xmax; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t*t, sh(t), 151);
+        CHECK_ULP_CLOSE(3*t*t, sh.prime(t), 151);
+    }
+
+    Real x0 = 0;
+    Real dx = 1;
+    y.resize(8);
+    dydx.resize(8);
+    d2ydx2.resize(8);
+    d3ydx3.resize(8,6);
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = i*i*i;
+        dydx[i] = 3*i*i;
+        d2ydx2[i] = 6*i;
+    }
+
+    auto csh = cardinal_septic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3), x0, dx);
+
+    for (Real t = 0; t <= xmax; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t*t, csh(t), 151);
+        CHECK_ULP_CLOSE(3*t*t, csh.prime(t), 151);
+        CHECK_ULP_CLOSE(6*t, csh.double_prime(t), 151);
+    }
+
+    std::vector<std::array<Real, 4>> data(8);
+    for (size_t i = 0; i < data.size(); ++i) {
+        data[i][0] = i*i*i;
+        data[i][1] = 3*i*i;
+        data[i][2] = 6*i;
+        data[i][3] = 6;
+    }
+
+    auto csh_aos = cardinal_septic_hermite_aos(std::move(data), x0, dx);
+
+    for (Real t = 0; t <= xmax; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t*t, csh_aos(t), 151);
+        CHECK_ULP_CLOSE(3*t*t, csh_aos.prime(t), 151);
+        CHECK_ULP_CLOSE(6*t, csh_aos.double_prime(t), 151);
+    }
+}
+
+template<typename Real>
+void test_quartic()
+{
+
+    std::vector<Real> x{0,1,2,3,4,5,6,7,8,9};
+    Real xmax = x.back();
+    std::vector<Real> y(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = x[i]*x[i]*x[i]*x[i];
+    }
+
+    std::vector<Real> dydx(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        dydx[i] = 4*x[i]*x[i]*x[i];
+    }
+
+    std::vector<Real> d2ydx2(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        d2ydx2[i] = 12*x[i]*x[i];
+    }
+
+    std::vector<Real> d3ydx3(x.size());
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        d3ydx3[i] = 24*x[i];
+    }
+
+    auto sh = septic_hermite(std::move(x), std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3));
+
+    for (Real t = 1; t <= xmax; t += 0.0078125) {
+        CHECK_ULP_CLOSE(t*t*t*t, sh(t), 117);
+        CHECK_ULP_CLOSE(4*t*t*t, sh.prime(t), 117);
+    }
+
+    y.resize(10);
+    dydx.resize(10);
+    d2ydx2.resize(10);
+    d3ydx3.resize(10);
+    for (size_t i = 0; i < y.size(); ++i)
+    {
+        y[i] = i*i*i*i;
+        dydx[i] = 4*i*i*i;
+        d2ydx2[i] = 12*i*i;
+        d3ydx3[i] = 24*i;
+    }
+
+    auto csh = cardinal_septic_hermite(std::move(y), std::move(dydx), std::move(d2ydx2), std::move(d3ydx3), Real(0), Real(1));
+
+    for (Real t = 1; t <= xmax; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t*t*t, csh(t), 117);
+        CHECK_ULP_CLOSE(4*t*t*t, csh.prime(t), 117);
+        CHECK_ULP_CLOSE(12*t*t, csh.double_prime(t), 117);
+    }
+
+    std::vector<std::array<Real, 4>> data(10);
+    for (size_t i = 0; i < data.size(); ++i)
+    {
+        data[i][0] = i*i*i*i;
+        data[i][1] = 4*i*i*i;
+        data[i][2] = 12*i*i;
+        data[i][3] = 24*i;
+    }
+
+    auto csh_aos = cardinal_septic_hermite_aos(std::move(data), Real(0), Real(1));
+    for (Real t = 1; t <= xmax; t += 0.0078125)
+    {
+        CHECK_ULP_CLOSE(t*t*t*t, csh_aos(t), 117);
+        CHECK_ULP_CLOSE(4*t*t*t, csh_aos.prime(t), 117);
+        CHECK_ULP_CLOSE(12*t*t, csh_aos.double_prime(t), 117);
+    }
+}
+
+
+template<typename Real>
+void test_interpolation_condition()
+{
+    for (size_t n = 4; n < 50; ++n) {
+        std::vector<Real> x(n);
+        std::vector<Real> y(n);
+        std::vector<Real> dydx(n);
+        std::vector<Real> d2ydx2(n);
+        std::vector<Real> d3ydx3(n);
+        boost::random::mt19937 rd; 
+        boost::random::uniform_real_distribution<Real> dis(0,1);
+        Real x0 = dis(rd);
+        x[0] = x0;
+        y[0] = dis(rd);
+        for (size_t i = 1; i < n; ++i) {
+            x[i] = x[i-1] + dis(rd);
+            y[i] = dis(rd);
+            dydx[i] = dis(rd);
+            d2ydx2[i] = dis(rd);
+            d3ydx3[i] = dis(rd);
+        }
+
+        auto x_copy = x;
+        auto y_copy = y;
+        auto dydx_copy = dydx;
+        auto d2ydx2_copy = d2ydx2;
+        auto d3ydx3_copy = d3ydx3;
+        auto s = septic_hermite(std::move(x_copy), std::move(y_copy), std::move(dydx_copy), std::move(d2ydx2_copy), std::move(d3ydx3_copy));
+
+        for (size_t i = 0; i < x.size(); ++i)
+        {
+            CHECK_ULP_CLOSE(y[i], s(x[i]), 2);
+            CHECK_ULP_CLOSE(dydx[i], s.prime(x[i]), 2);
+        }
+    }
+}
+
+
+int main()
+{
+    test_constant<float>();
+    test_linear<float>();
+    test_quadratic<float>();
+    test_cubic<float>();
+    test_quartic<float>();
+    test_interpolation_condition<float>();
+
+    test_constant<double>();
+    test_linear<double>();
+    test_quadratic<double>();
+    test_cubic<double>();
+    test_quartic<double>();
+    test_interpolation_condition<double>();
+
+    test_constant<long double>();
+    test_linear<long double>();
+    test_quadratic<long double>();
+    test_cubic<long double>();
+    test_quartic<long double>();
+    test_interpolation_condition<long double>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_constant<float128>();
+    test_linear<float128>();
+    test_quadratic<float128>();
+    test_cubic<float128>();
+    test_quartic<float128>();
+    test_interpolation_condition<float128>();
+#endif
+
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/signal_statistics_test.cpp b/src/boost/libs/math/test/signal_statistics_test.cpp
new file mode 100644
index 000000000..79f7b1a1c
--- /dev/null
+++ b/src/boost/libs/math/test/signal_statistics_test.cpp
@@ -0,0 +1,331 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/math/statistics/signal_statistics.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using std::abs;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+using boost::math::constants::two_pi;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ * 6) Does it work with integer data if sensible?
+ */
+
+template<class Real>
+void test_hoyer_sparsity()
+{
+    using std::sqrt;
+    Real tol = 5*std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,0,0};
+    Real hs = boost::math::statistics::hoyer_sparsity(v.begin(), v.end());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    // Does it work with constant iterators?
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs) < tol);
+
+    std::array<Real, 3> w{1,1,1};
+    hs = boost::math::statistics::hoyer_sparsity(w);
+    BOOST_TEST(abs(hs) < tol);
+
+    // Now some statistics:
+    // If x_i ~ Unif(0,1), E[x_i] = 1/2, E[x_i^2] = 1/3.
+    // Therefore, E[||x||_1] = N/2, E[||x||_2] = sqrt(N/3),
+    // and hoyer_sparsity(x) is close to (1-sqrt(3)/2)/(1-1/sqrt(N))
+    std::mt19937 gen(82);
+    std::uniform_real_distribution<long double> dis(0, 1);
+    v.resize(5000);
+    for (size_t i = 0; i < v.size(); ++i) {
+        v[i] = dis(gen);
+    }
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    Real expected = (1.0 - boost::math::constants::root_three<Real>()/2)/(1.0 - 1.0/sqrt(v.size()));
+    BOOST_TEST(abs(expected - hs) < 0.01);
+
+    // Does it work with a forward list?
+    std::forward_list<Real> u1{1, 1, 1};
+    hs = boost::math::statistics::hoyer_sparsity(u1);
+    BOOST_TEST(abs(hs) < tol);
+
+    // Does it work with a boost ublas vector?
+    boost::numeric::ublas::vector<Real> u2(3);
+    u2[0] = 1;
+    u2[1] = 1;
+    u2[2] = 1;
+    hs = boost::math::statistics::hoyer_sparsity(u2);
+    BOOST_TEST(abs(hs) < tol);
+
+}
+
+template<class Z>
+void test_integer_hoyer_sparsity()
+{
+    using std::sqrt;
+    double tol = 5*std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,0,0};
+    double hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs) < tol);
+}
+
+
+template<class Complex>
+void test_complex_hoyer_sparsity()
+{
+    typedef typename Complex::value_type Real;
+    using std::sqrt;
+    Real tol = 5*std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{0,1}, {0, 0}, {0,0}};
+    Real hs = boost::math::statistics::hoyer_sparsity(v.begin(), v.end());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    hs = boost::math::statistics::hoyer_sparsity(v);
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    // Does it work with constant iterators?
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs - 1) < tol);
+
+    // All are the same magnitude:
+    v[0] = {0, 1};
+    v[1] = {1, 0};
+    v[2] = {0,-1};
+    hs = boost::math::statistics::hoyer_sparsity(v.cbegin(), v.cend());
+    BOOST_TEST(abs(hs) < tol);
+}
+
+
+template<class Real>
+void test_absolute_gini_coefficient()
+{
+    using boost::math::statistics::absolute_gini_coefficient;
+    using boost::math::statistics::sample_absolute_gini_coefficient;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{-1,0,0};
+    Real gini = sample_absolute_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini - 1) < tol);
+
+    gini = absolute_gini_coefficient(v);
+    BOOST_TEST(abs(gini - Real(2)/Real(3)) < tol);
+
+    v[0] = 1;
+    v[1] = -1;
+    v[2] = 1;
+    gini = absolute_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+    gini = sample_absolute_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::vector<std::complex<Real>> w(128);
+    std::complex<Real> i{0,1};
+    for(size_t k = 0; k < w.size(); ++k)
+    {
+        w[k] = exp(i*static_cast<Real>(k)/static_cast<Real>(w.size()));
+    }
+    gini = absolute_gini_coefficient(w.begin(), w.end());
+    BOOST_TEST(abs(gini) < tol);
+    gini = sample_absolute_gini_coefficient(w.begin(), w.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    // The population Gini index is invariant under "cloning": If w = v \oplus v, then G(w) = G(v).
+    // We use the sample Gini index, so we need to rescale
+    std::vector<Real> u(1000);
+    std::mt19937 gen(35);
+    std::uniform_real_distribution<long double> dis(0, 50);
+    for (size_t i = 0; i < u.size()/2; ++i)
+    {
+        u[i] = dis(gen);
+    }
+    for (size_t i = 0; i < u.size()/2; ++i)
+    {
+        u[i + u.size()/2] = u[i];
+    }
+    Real population_gini1 = absolute_gini_coefficient(u.begin(), u.begin() + u.size()/2);
+    Real population_gini2 = absolute_gini_coefficient(u.begin(), u.end());
+
+    BOOST_TEST(abs(population_gini1 - population_gini2) < 10*tol);
+
+    // The Gini coefficient of a uniform distribution is (b-a)/(3*(b+a)), see https://en.wikipedia.org/wiki/Gini_coefficient
+    Real expected = (dis.b() - dis.a() )/(3*(dis.a() + dis.b()));
+
+    BOOST_TEST(abs(expected - population_gini1) < 0.01);
+
+    std::exponential_distribution<long double> exp_dis(1);
+    for (size_t i = 0; i < u.size(); ++i)
+    {
+        u[i] = exp_dis(gen);
+    }
+    population_gini2 = absolute_gini_coefficient(u);
+
+    BOOST_TEST(abs(population_gini2 - 0.5) < 0.01);
+}
+
+
+template<class Real>
+void test_oracle_snr()
+{
+    using std::abs;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    size_t length = 100;
+    std::vector<Real> signal(length, 1);
+    std::vector<Real> noisy_signal = signal;
+
+    noisy_signal[0] += 1;
+    Real snr = boost::math::statistics::oracle_snr(signal, noisy_signal);
+    Real snr_db = boost::math::statistics::oracle_snr_db(signal, noisy_signal);
+    BOOST_TEST(abs(snr - length) < tol);
+    BOOST_TEST(abs(snr_db - 10*log10(length)) < tol);
+}
+
+template<class Z>
+void test_integer_oracle_snr()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    size_t length = 100;
+    std::vector<Z> signal(length, 1);
+    std::vector<Z> noisy_signal = signal;
+
+    noisy_signal[0] += 1;
+    double snr = boost::math::statistics::oracle_snr(signal, noisy_signal);
+    double snr_db = boost::math::statistics::oracle_snr_db(signal, noisy_signal);
+    BOOST_TEST(abs(snr - length) < tol);
+    BOOST_TEST(abs(snr_db - 10*log10(length)) < tol);
+}
+
+template<class Complex>
+void test_complex_oracle_snr()
+{
+    using Real = typename Complex::value_type;
+    using std::abs;
+    using std::log10;
+    Real tol = 100*std::numeric_limits<Real>::epsilon();
+    size_t length = 100;
+    std::vector<Complex> signal(length, {1,0});
+    std::vector<Complex> noisy_signal = signal;
+
+    noisy_signal[0] += Complex(1,0);
+    Real snr = boost::math::statistics::oracle_snr(signal, noisy_signal);
+    Real snr_db = boost::math::statistics::oracle_snr_db(signal, noisy_signal);
+    BOOST_TEST(abs(snr - length) < tol);
+    BOOST_TEST(abs(snr_db - 10*log10(length)) < tol);
+}
+
+template<class Real>
+void test_m2m4_snr_estimator()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> signal(5000, 1);
+    std::vector<Real> x(signal.size());
+    std::mt19937 gen(18);
+    std::normal_distribution<Real> dis{0, 1.0};
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        signal[i] = 5*sin(100*6.28*i/x.size());
+        x[i] = signal[i] + dis(gen);
+    }
+
+    // Kurtosis of a sine wave is 1.5:
+    auto m2m4_db = boost::math::statistics::m2m4_snr_estimator_db(x, 1.5);
+    auto oracle_snr_db = boost::math::statistics::mean_invariant_oracle_snr_db(signal, x);
+    BOOST_TEST(abs(m2m4_db - oracle_snr_db) < 0.2);
+
+    std::uniform_real_distribution<Real> uni_dis{-1,1};
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        x[i] = signal[i] + uni_dis(gen);
+    }
+
+    // Kurtosis of continuous uniform distribution over [-1,1] is 1.8:
+    m2m4_db = boost::math::statistics::m2m4_snr_estimator_db(x, 1.5, 1.8);
+    oracle_snr_db = boost::math::statistics::mean_invariant_oracle_snr_db(signal, x);
+    // The performance depends on the exact numbers generated by the distribution, but this isn't bad:
+    BOOST_TEST(abs(m2m4_db - oracle_snr_db) < 0.2);
+
+    // The SNR estimator should be scale invariant.
+    // If x has snr y, then kx should have snr y.
+    Real ka = 1.5;
+    Real kw = 1.8;
+    auto m2m4 = boost::math::statistics::m2m4_snr_estimator(x.begin(), x.end(), ka, kw);
+    for(size_t i = 0; i < x.size(); ++i)
+    {
+        x[i] *= 4096;
+    }
+    auto m2m4_2 = boost::math::statistics::m2m4_snr_estimator(x.begin(), x.end(), ka, kw);
+    BOOST_TEST(abs(m2m4 - m2m4_2) < tol);
+}
+
+int main()
+{
+    test_absolute_gini_coefficient<float>();
+    test_absolute_gini_coefficient<double>();
+    test_absolute_gini_coefficient<long double>();
+
+    test_hoyer_sparsity<float>();
+    test_hoyer_sparsity<double>();
+    test_hoyer_sparsity<long double>();
+    test_hoyer_sparsity<cpp_bin_float_50>();
+
+    test_integer_hoyer_sparsity<int>();
+    test_integer_hoyer_sparsity<unsigned>();
+
+    test_complex_hoyer_sparsity<std::complex<float>>();
+    test_complex_hoyer_sparsity<std::complex<double>>();
+    test_complex_hoyer_sparsity<std::complex<long double>>();
+    test_complex_hoyer_sparsity<cpp_complex_50>();
+
+    test_oracle_snr<float>();
+    test_oracle_snr<double>();
+    test_oracle_snr<long double>();
+    test_oracle_snr<cpp_bin_float_50>();
+
+    test_integer_oracle_snr<int>();
+    test_integer_oracle_snr<unsigned>();
+
+    test_complex_oracle_snr<std::complex<float>>();
+    test_complex_oracle_snr<std::complex<double>>();
+    test_complex_oracle_snr<std::complex<long double>>();
+    test_complex_oracle_snr<cpp_complex_50>();
+
+    test_m2m4_snr_estimator<float>();
+    test_m2m4_snr_estimator<double>();
+    test_m2m4_snr_estimator<long double>();
+
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/sinc_data.ipp b/src/boost/libs/math/test/sinc_data.ipp
new file mode 100644
index 000000000..d4232a347
--- /dev/null
+++ b/src/boost/libs/math/test/sinc_data.ipp
@@ -0,0 +1,99 @@
+// Copyright John Maddock 2019.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 2>, 85> sinc_data = {{
+      { SC_(-4.8295154571533203125000000000000000000000e+00), SC_(-2.0564144397615335368562979918981941995753e-01) }, 
+      { SC_(-4.6816596984863281250000000000000000000000e+00), SC_(-2.1349862167307660907057655732429291438217e-01) }, 
+      { SC_(-4.4761581420898437500000000000000000000000e+00), SC_(-2.1720122073845000360178237918490951754528e-01) }, 
+      { SC_(-4.3742771148681640625000000000000000000000e+00), SC_(-2.1566595539683532852848767544650130553932e-01) }, 
+      { SC_(-4.1086444854736328125000000000000000000000e+00), SC_(-2.0036183120354498976961729417378586259777e-01) }, 
+      { SC_(-3.7394170761108398437500000000000000000000e+00), SC_(-1.5051692429982474112576727957919702319266e-01) }, 
+      { SC_(-3.3475914001464843750000000000000000000000e+00), SC_(-6.1102108217798456351460029782718677410135e-02) }, 
+      { SC_(-2.6580219268798828125000000000000000000000e+00), SC_(1.7492084497567764117975419002968454997523e-01) }, 
+      { SC_(-2.4356470108032226562500000000000000000000e+00), SC_(2.6635787093609254873454189091933075353840e-01) }, 
+      { SC_(-2.3019962310791015625000000000000000000000e+00), SC_(3.2336008040116494772234230406698582967077e-01) }, 
+      { SC_(-1.7549228668212890625000000000000000000000e-01), SC_(9.9487497449776294957503940828873692843755e-01) }, 
+      { SC_(2.5184347547234381013356308010031625599368e-17), SC_(9.9999999999999999999999999999999989429144e-01) }, 
+      { SC_(3.1515819566286769684571034133568900870159e-17), SC_(9.9999999999999999999999999999999983445885e-01) }, 
+      { SC_(1.0579269457638800205206974780480777553748e-16), SC_(9.9999999999999999999999999999999813465096e-01) }, 
+      { SC_(2.0372688216594662252711955829909129533917e-16), SC_(9.9999999999999999999999999999999308255958e-01) }, 
+      { SC_(2.5024127294794289849688695426266349386424e-16), SC_(9.9999999999999999999999999999998956321755e-01) }, 
+      { SC_(8.7435293617680372862954740753593796398491e-16), SC_(9.9999999999999999999999999999987258449050e-01) }, 
+      { SC_(1.6994191427352478562795567995635792613029e-15), SC_(9.9999999999999999999999999999951866242955e-01) }, 
+      { SC_(2.1689921858364033524502190175553550943732e-15), SC_(9.9999999999999999999999999999921591214963e-01) }, 
+      { SC_(5.7993042470007652444685675163782434538007e-15), SC_(9.9999999999999999999999999999439467837512e-01) }, 
+      { SC_(9.2950854532845156308340506257081869989634e-15), SC_(9.9999999999999999999999999998560023106936e-01) }, 
+      { SC_(1.5596986863933987033092876117734704166651e-14), SC_(9.9999999999999999999999999995945566679438e-01) }, 
+      { SC_(4.3974643804817192815903581504244357347488e-14), SC_(9.9999999999999999999999999967770511703991e-01) }, 
+      { SC_(7.2674207146974922899573812173912301659584e-14), SC_(9.9999999999999999999999999911974326925976e-01) }, 
+      { SC_(1.3510335428526532020043759985128417611122e-13), SC_(9.9999999999999999999999999695784727681168e-01) }, 
+      { SC_(3.5172006366407382316197072213981300592422e-13), SC_(9.9999999999999999999999997938216613602331e-01) }, 
+      { SC_(9.0625749092632101877597960992716252803802e-13), SC_(9.9999999999999999999999986311622668998820e-01) }, 
+      { SC_(1.7803419329054381847754484624601900577545e-12), SC_(9.9999999999999999999999947173043365642137e-01) }, 
+      { SC_(3.6315421156341010089363408042117953300476e-12), SC_(9.9999999999999999999999780198364372929962e-01) }, 
+      { SC_(7.1482229857533496897303848527371883392334e-12), SC_(9.9999999999999999999999148381802432457777e-01) }, 
+      { SC_(1.4316863666818946398961998056620359420776e-11), SC_(9.9999999999999999999996583790245761992543e-01) }, 
+      { SC_(1.6845483341576539260131539776921272277832e-11), SC_(9.9999999999999999999995270494849811121879e-01) }, 
+      { SC_(5.0228515791062022799451369792222976684570e-11), SC_(9.9999999999999999999957951603357117216967e-01) }, 
+      { SC_(1.1470357996756774809909984469413757324219e-10), SC_(9.9999999999999999999780718145710396513332e-01) }, 
+      { SC_(2.3063151388669211883097887039184570312500e-10), SC_(9.9999999999999999999113485080038875672526e-01) }, 
+      { SC_(4.5568837592213640164118260145187377929688e-10), SC_(9.9999999999999999996539135067490761622790e-01) }, 
+      { SC_(5.1681947610404677106998860836029052734375e-10), SC_(9.9999999999999999995548293818658977143083e-01) }, 
+      { SC_(1.3833636458571163529995828866958618164062e-09), SC_(9.9999999999999999968105083722015112831654e-01) }, 
+      { SC_(3.3492328910256219387520104646682739257812e-09), SC_(9.9999999999999999813043984027869240754866e-01) }, 
+      { SC_(6.7065659692389090196229517459869384765625e-09), SC_(9.9999999999999999250366215004109548978553e-01) }, 
+      { SC_(9.6636227908675209619104862213134765625000e-09), SC_(9.9999999999999998443573242597097094310820e-01) }, 
+      { SC_(1.7015430842093337560072541236877441406250e-08), SC_(9.9999999999999995174585220965646960507893e-01) }, 
+      { SC_(2.9944871471343503799289464950561523437500e-08), SC_(9.9999999999999985055077876078633035382685e-01) }, 
+      { SC_(8.4743561501454678364098072052001953125000e-08), SC_(9.9999999999999880308813067486184630883274e-01) }, 
+      { SC_(1.3261609410619712434709072113037109375000e-07), SC_(9.9999999999999706882859733604730066894210e-01) }, 
+      { SC_(4.5674687498831190168857574462890625000000e-07), SC_(9.9999999999996523038203140225930402260455e-01) }, 
+      { SC_(7.8190009844547603279352188110351562500000e-07), SC_(9.9999999999989810537267516226282214649358e-01) }, 
+      { SC_(1.7091820154746528714895248413085937500000e-06), SC_(9.9999999999951311613966307169545782039473e-01) }, 
+      { SC_(3.5828215914079919457435607910156250000000e-06), SC_(9.9999999999786056490735815715717223661113e-01) }, 
+      { SC_(7.4748695624293759465217590332031250000000e-06), SC_(9.9999999999068772083747049385782616904819e-01) }, 
+      { SC_(1.1472035112092271447181701660156250000000e-05), SC_(9.9999999997806540173129801546239498657512e-01) }, 
+      { SC_(2.5264598662033677101135253906250000000000e-05), SC_(9.9999999989361667574445624564863571981943e-01) }, 
+      { SC_(5.4868418374098837375640869140625000000000e-05), SC_(9.9999999949824277759633694228237717097450e-01) }, 
+      { SC_(6.3214800320565700531005859375000000000000e-05), SC_(9.9999999933398150353824195889306629656228e-01) }, 
+      { SC_(1.6617355868220329284667968750000000000000e-04), SC_(9.9999999539772473883633772577467889886186e-01) }, 
+      { SC_(4.5144755858927965164184570312500000000000e-04), SC_(9.9999996603251732010012196212586447596609e-01) }, 
+      { SC_(5.9175980277359485626220703125000000000000e-04), SC_(9.9999994163672365877432109245787305708224e-01) }, 
+      { SC_(1.8886649049818515777587890625000000000000e-03), SC_(9.9999940549091881399202601506000179969715e-01) }, 
+      { SC_(3.2839048653841018676757812500000000000000e-03), SC_(9.9999820266244164525650766832296097320550e-01) }, 
+      { SC_(6.5575577318668365478515625000000000000000e-03), SC_(9.9999283308817497693001270399170438932932e-01) }, 
+      { SC_(1.0927643626928329467773437500000000000000e-02), SC_(9.9998009788628979560826917234462398401496e-01) }, 
+      { SC_(2.7464687824249267578125000000000000000000e-02), SC_(9.9987428656188580073240178797637624570371e-01) }, 
+      { SC_(5.4395228624343872070312500000000000000000e-02), SC_(9.9950693280150689842835732266478255630014e-01) }, 
+      { SC_(1.0894575715065002441406250000000000000000e-01), SC_(9.9802297731298784088052183750833449909167e-01) }, 
+      { SC_(1.8434482812881469726562500000000000000000e-01), SC_(9.9434577998524537639499792018398061310727e-01) }, 
+      { SC_(3.4805667400360107421875000000000000000000e-01), SC_(9.7993137091356513777451292422611427589061e-01) }, 
+      { SC_(5.6257820129394531250000000000000000000000e-01), SC_(9.4807943690125005126653317657503357778961e-01) }, 
+      { SC_(5.6664705276489257812500000000000000000000e-01), SC_(9.4733779787474906002499522123074902162683e-01) }, 
+      { SC_(1.5883111953735351562500000000000000000000e+00), SC_(6.2950297241676906424411614772208722050684e-01) }, 
+      { SC_(2.7100677490234375000000000000000000000000e+00), SC_(1.5433429787254010454700237187797477463959e-01) }, 
+      { SC_(3.5772705078125000000000000000000000000000e+00), SC_(-1.1797403335010845134361979928284854255106e-01) }, 
+      { SC_(3.6033649444580078125000000000000000000000e+00), SC_(-1.2364428289578963847004081749648553310113e-01) }, 
+      { SC_(3.7766838073730468750000000000000000000000e+00), SC_(-1.5708249021644308711064739246518523759815e-01) }, 
+      { SC_(4.0201015472412109375000000000000000000000e+00), SC_(-1.9148470586113360730901280514274812716308e-01) }, 
+      { SC_(4.8695030212402343750000000000000000000000e+00), SC_(-2.0283034081254029329390811947499866295346e-01) }, 
+      { SC_(4.9605102539062500000000000000000000000000e+00), SC_(-1.9541850863032876003972535140505164063587e-01) }, 
+      { SC_(5.4860038757324218750000000000000000000000e+00), SC_(-1.3040266551546396993998529332324853761316e-01) }, 
+      { SC_(5.4900817871093750000000000000000000000000e+00), SC_(-1.2978572516839247728729913746105155167508e-01) }, 
+      { SC_(5.5786609649658203125000000000000000000000e+00), SC_(-1.1609801955039980348827321624165824542852e-01) }, 
+      { SC_(5.6123390197753906250000000000000000000000e+00), SC_(-1.1076470982849211097675159261300665760170e-01) }, 
+      { SC_(5.6264133453369140625000000000000000000000e+00), SC_(-1.0851736256355344896484050447605119909590e-01) }, 
+      { SC_(5.6471138000488281250000000000000000000000e+00), SC_(-1.0519352624476319628955249191079616784999e-01) }, 
+      { SC_(5.7733154296875000000000000000000000000000e+00), SC_(-8.4537850909120915738253194859770692286972e-02) }, 
+      { SC_(5.9145755767822265625000000000000000000000e+00), SC_(-6.0920499174038826963883262039519566066855e-02) }, 
+      { SC_(5.9575347900390625000000000000000000000000e+00), SC_(-5.3700933786881587614051406850527216765734e-02) }
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/sinc_test.hpp b/src/boost/libs/math/test/sinc_test.hpp
new file mode 100644
index 000000000..4d1caa0c8
--- /dev/null
+++ b/src/boost/libs/math/test/sinc_test.hpp
@@ -0,0 +1,92 @@
+// unit test file sinc.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+#include <complex>
+
+
+#include <boost/math/special_functions/sinc.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinc_pi_test, T)
+{
+    using    ::std::abs;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinc_pi in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinc_pi<T>(static_cast<T>(0))-static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinc_pi_complex_test, T)
+{
+    using    ::std::abs;
+    using    ::std::sinh;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinc_pi in the complex domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinc_pi<T>(::std::complex<T>(0, 1))-
+             ::std::complex<T>(sinh(static_cast<T>(1)))))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+void    sinc_pi_manual_check()
+{
+    using    ::boost::math::sinc_pi;
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("sinc_pi");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50))
+                    << ::std::setw(15)
+                    << sinc_pi<long double>(static_cast<long double>(i-50)/
+                                                static_cast<long double>(50)));
+#else
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50)));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+
+
diff --git a/src/boost/libs/math/test/sinh_sinh_quadrature_test.cpp b/src/boost/libs/math/test/sinh_sinh_quadrature_test.cpp
new file mode 100644
index 000000000..8958d24b2
--- /dev/null
+++ b/src/boost/libs/math/test/sinh_sinh_quadrature_test.cpp
@@ -0,0 +1,307 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE sinh_sinh_quadrature_test
+#include <complex>
+#include <boost/multiprecision/cpp_complex.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/sinh_sinh.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#if !BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+// MSVC-12 has problems if we include 2 different multiprecision types in the same program,
+// basically random things stop compiling, even though they work fine in isolation :(
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#endif
+
+using std::expm1;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::string;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::math::quadrature::sinh_sinh;
+using boost::math::constants::pi;
+using boost::math::constants::pi_sqr;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+//
+// Code for generating the coefficients:
+//
+template <class T>
+void print_levels(const T& v, const char* suffix)
+{
+   std::cout << "{\n";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      std::cout << "      { ";
+      for (unsigned j = 0; j < v[i].size(); ++j)
+      {
+         std::cout << v[i][j] << suffix << ", ";
+      }
+      std::cout << "},\n";
+   }
+   std::cout << "   };\n";
+}
+
+template <class T>
+void print_levels(const std::pair<T, T>& p, const char* suffix = "")
+{
+   std::cout << "   static const std::vector<std::vector<Real> > abscissa = ";
+   print_levels(p.first, suffix);
+   std::cout << "   static const std::vector<std::vector<Real> > weights = ";
+   print_levels(p.second, suffix);
+}
+
+template <class Real, class TargetType>
+std::pair<std::vector<std::vector<Real>>, std::vector<std::vector<Real>> > generate_constants(unsigned max_rows)
+{
+   using boost::math::constants::half_pi;
+   using boost::math::constants::two_div_pi;
+   using boost::math::constants::pi;
+   auto g = [](Real t) { return sinh(half_pi<Real>()*sinh(t)); };
+   auto w = [](Real t) { return cosh(t)*half_pi<Real>()*cosh(half_pi<Real>()*sinh(t)); };
+
+   std::vector<std::vector<Real>> abscissa, weights;
+
+   std::vector<Real> temp;
+
+   Real t_max = log(2 * two_div_pi<Real>()*log(2 * two_div_pi<Real>()*sqrt(boost::math::tools::max_value<TargetType>())));
+
+   std::cout << "m_t_max = " << t_max << ";\n";
+
+   Real h = 1;
+   for (Real t = 1; t < t_max; t += h)
+   {
+      temp.push_back(g(t));
+   }
+   abscissa.push_back(temp);
+   temp.clear();
+
+   for (Real t = 1; t < t_max; t += h)
+   {
+      temp.push_back(w(t * h));
+   }
+   weights.push_back(temp);
+   temp.clear();
+
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < t_max; t += 2 * h)
+         temp.push_back(g(t));
+      abscissa.push_back(temp);
+      temp.clear();
+   }
+   h = 1;
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < t_max; t += 2 * h)
+         temp.push_back(w(t));
+      weights.push_back(temp);
+      temp.clear();
+   }
+
+   return std::make_pair(abscissa, weights);
+}
+
+template<class Real>
+void test_nr_examples()
+{
+    std::cout << "Testing type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real integration_limit = sqrt(boost::math::tools::epsilon<Real>());
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    sinh_sinh<Real> integrator(10);
+
+    auto f0 = [](Real)->Real { return (Real) 0; };
+    Q = integrator.integrate(f0, integration_limit, &error, &L1);
+    Q_expected = 0;
+    BOOST_CHECK_SMALL(Q, tol);
+    BOOST_CHECK_SMALL(L1, tol);
+
+    // In spite of the poles at \pm i, we still get a doubling of the correct digits at each level of refinement.
+    auto f1 = [](const Real& t)->Real { return 1/(1+t*t); };
+    Q = integrator.integrate(f1, integration_limit, &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+#if defined(BOOST_MSVC) && (BOOST_MSVC < 1900)
+    auto f2 = [](const Real& x)->Real { return fabs(x) > boost::math::tools::log_max_value<Real>() ? 0 : exp(-x*x); };
+#else
+    auto f2 = [](const Real& x)->Real { return exp(-x*x); };
+#endif
+    Q = integrator.integrate(f2, integration_limit, &error, &L1);
+    Q_expected = root_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f5 = [](const Real& t)->Real { return 1/cosh(t);};
+    Q = integrator.integrate(f5, integration_limit, &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    // This oscillatory integral has rapid convergence because the oscillations get swamped by the exponential growth of the denominator,
+    // none the less the error is slightly higher than for the other cases:
+    tol *= 10;
+    auto f8 = [](const Real& t)->Real { return cos(t)/cosh(t);};
+    Q = integrator.integrate(f8, integration_limit, &error, &L1);
+    Q_expected = pi<Real>()/cosh(half_pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Try again with progressively fewer arguments:
+    Q = integrator.integrate(f8, integration_limit);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    Q = integrator.integrate(f8);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+// Test formulas for in the CRC Handbook of Mathematical functions, 32nd edition.
+template<class Real>
+void test_crc()
+{
+    std::cout << "Testing CRC formulas on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real integration_limit = sqrt(boost::math::tools::epsilon<Real>());
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real Q;
+    Real Q_expected;
+    Real L1;
+    Real error;
+    sinh_sinh<Real> integrator(10);
+
+    // CRC Definite integral 698:
+    auto f0 = [](Real x)->Real {
+      using std::sinh;
+      if(x == 0) {
+        return (Real) 1;
+      }
+      return x/sinh(x);
+    };
+    Q = integrator.integrate(f0, integration_limit, &error, &L1);
+    Q_expected = pi_sqr<Real>()/2;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+
+    // CRC Definite integral 695:
+    auto f1 = [](Real x)->Real {
+      using std::sin; using std::sinh;
+      if(x == 0) {
+        return (Real) 1;
+      }
+      return (Real) sin(x)/sinh(x);
+    };
+    Q = integrator.integrate(f1, integration_limit, &error, &L1);
+    Q_expected = pi<Real>()*tanh(half_pi<Real>());
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+template<class Complex>
+void test_dirichlet_eta()
+{
+  typedef typename Complex::value_type Real;
+  std::cout << "Testing Dirichlet eta function on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+  Real tol = 10 * boost::math::tools::epsilon<Real>();
+  Complex Q;
+  sinh_sinh<Real> integrator(10);
+
+  //https://en.wikipedia.org/wiki/Dirichlet_eta_function, integral representations:
+  Complex z = {1,1};
+  auto eta = [&z](Real t)->Complex {
+    using std::exp;
+    using std::pow;
+    using boost::math::constants::pi;
+    Complex i = {0,1};
+    Complex num = pow((Real)1/ (Real)2  + i*t, -z);
+    Real denom = exp(pi<Real>()*t) + exp(-pi<Real>()*t);
+    Complex res = num/denom;
+    return res;
+  };
+  Q = integrator.integrate(eta);
+  // N[DirichletEta[1 + I], 150]
+  Complex Q_expected = {boost::lexical_cast<Real>("0.726559775062463263201495728547241386311129502735725787103568290594808442332084045617744978600192784188182345866652233650512117834307254514480657408096"),
+                        boost::lexical_cast<Real>("0.158095863901207324355426285544321998253687969756843115763682522207208309489794631247865357375538028170751576870244296106203144195376645765556607038775")};
+
+  BOOST_CHECK_CLOSE_FRACTION(Q.real(), Q_expected.real(), tol);
+  BOOST_CHECK_CLOSE_FRACTION(Q.imag(), Q_expected.imag(), tol);
+}
+
+
+BOOST_AUTO_TEST_CASE(sinh_sinh_quadrature_test)
+{
+    //
+    // Uncomment the following to print out the coefficients:
+    //
+    /*
+    std::cout << std::scientific << std::setprecision(8);
+    print_levels(generate_constants<cpp_bin_float_100, float>(8), "f");
+    std::cout << std::setprecision(18);
+    print_levels(generate_constants<cpp_bin_float_100, double>(8), "");
+    std::cout << std::setprecision(35);
+    print_levels(generate_constants<cpp_bin_float_100, cpp_bin_float_quad>(8), "L");
+    */
+    test_nr_examples<float>();
+    test_nr_examples<double>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_nr_examples<long double>();
+#endif
+    test_nr_examples<cpp_bin_float_quad>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_nr_examples<boost::math::concepts::real_concept>();
+#endif
+#if !BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+    test_nr_examples<boost::multiprecision::cpp_dec_float_50>();
+#endif
+
+    test_crc<float>();
+    test_crc<double>();
+    test_dirichlet_eta<std::complex<double>>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_crc<long double>();
+    test_dirichlet_eta<std::complex<long double>>();
+#endif
+    test_crc<cpp_bin_float_quad>();
+    test_dirichlet_eta<boost::multiprecision::cpp_complex_quad>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_crc<boost::math::concepts::real_concept>();
+#endif
+#if !BOOST_WORKAROUND(BOOST_MSVC, < 1900)
+    test_crc<boost::multiprecision::cpp_dec_float_50>();
+#endif
+
+
+}
diff --git a/src/boost/libs/math/test/sinhc_test.hpp b/src/boost/libs/math/test/sinhc_test.hpp
new file mode 100644
index 000000000..b50bd2e67
--- /dev/null
+++ b/src/boost/libs/math/test/sinhc_test.hpp
@@ -0,0 +1,92 @@
+// unit test file sinhc.hpp for the special functions test suite
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <functional>
+#include <iomanip>
+#include <iostream>
+#include <complex>
+
+
+#include <boost/math/special_functions/sinhc.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_test, T)
+{
+    using    ::std::abs;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinhc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinhc_pi in the real domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinhc_pi<T>(static_cast<T>(0))-static_cast<T>(1)))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_complex_test, T)
+{
+    using    ::std::abs;
+    using    ::std::sin;
+        
+    using    ::std::numeric_limits;
+    
+    using    ::boost::math::sinhc_pi;
+    
+    
+    BOOST_TEST_MESSAGE("Testing sinhc_pi in the complex domain for "
+        << string_type_name<T>::_() << ".");
+    
+    BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
+        (abs(sinhc_pi<T>(::std::complex<T>(0, 1))-
+             ::std::complex<T>(sin(static_cast<T>(1)))))
+        (numeric_limits<T>::epsilon()));
+}
+
+
+void    sinhc_pi_manual_check()
+{
+    using    ::boost::math::sinhc_pi;
+    
+    
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("sinc_pi");
+    
+    for    (int i = 0; i <= 100; i++)
+    {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinhc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinhc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50))
+                    << ::std::setw(15)
+                    << sinhc_pi<long double>(static_cast<long double>(i-50)/
+                                                static_cast<long double>(50)));
+#else
+        BOOST_TEST_MESSAGE( ::std::setw(15)
+                    << sinhc_pi<float>(static_cast<float>(i-50)/
+                                                static_cast<float>(50))
+                    << ::std::setw(15)
+                    << sinhc_pi<double>(static_cast<double>(i-50)/
+                                                static_cast<double>(50)));
+#endif
+    }
+    
+    BOOST_TEST_MESSAGE(" ");
+}
+    
+
diff --git a/src/boost/libs/math/test/special_functions_test.cpp b/src/boost/libs/math/test/special_functions_test.cpp
new file mode 100644
index 000000000..8ea88c193
--- /dev/null
+++ b/src/boost/libs/math/test/special_functions_test.cpp
@@ -0,0 +1,148 @@
+// test file for special functions.
+
+//  (C) Copyright Hubert Holin 2003.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <iomanip>
+
+
+#include <boost/mpl/list.hpp>
+
+#include <boost/test/unit_test.hpp>
+#include <boost/test/unit_test_log.hpp>
+#include <boost/math/tools/config.hpp>
+#include <boost/math/tools/test.hpp>
+
+
+template<typename T>
+struct string_type_name;
+
+#define DEFINE_TYPE_NAME(Type)              \
+template<> struct string_type_name<Type>    \
+{                                           \
+    static char const * _()                 \
+    {                                       \
+        return #Type;                       \
+    }                                       \
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+DEFINE_TYPE_NAME(long double);
+
+typedef boost::mpl::list<float,double,long double>  test_types;
+#else
+DEFINE_TYPE_NAME(float);
+DEFINE_TYPE_NAME(double);
+
+typedef boost::mpl::list<float,double>  test_types;
+#endif
+
+// Apple GCC 4.0 uses the "double double" format for its long double,
+// which means that epsilon is VERY small but useless for
+// comparisons. So, don't do those comparisons.
+#if (defined(__APPLE_CC__) && defined(__GNUC__) && __GNUC__ == 4) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+typedef boost::mpl::list<float,double>  near_eps_test_types;
+#else
+typedef boost::mpl::list<float,double,long double>  near_eps_test_types;
+#endif
+
+#include "sinc_test.hpp"
+#include "sinhc_test.hpp"
+#include "atanh_test.hpp"
+#include "asinh_test.hpp"
+#include "acosh_test.hpp"
+
+
+
+boost::unit_test::test_suite *    init_unit_test_suite(int, char *[])
+{
+    ::boost::unit_test::unit_test_log.
+        set_threshold_level(::boost::unit_test::log_messages);
+    
+    boost::unit_test::test_suite *    test =
+        BOOST_TEST_SUITE("special_functions_test");
+    
+    BOOST_TEST_MESSAGE("Results of special functions test.");
+    BOOST_TEST_MESSAGE(" ");
+    BOOST_TEST_MESSAGE("(C) Copyright Hubert Holin 2003-2005.");
+    BOOST_TEST_MESSAGE("Distributed under the Boost Software License, Version 1.0.");
+    BOOST_TEST_MESSAGE("(See accompanying file LICENSE_1_0.txt or copy at");
+    BOOST_TEST_MESSAGE("http://www.boost.org/LICENSE_1_0.txt)");
+    BOOST_TEST_MESSAGE(" ");
+    
+#define BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(fct)   \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, test_types));
+
+#define BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS(fct)   \
+    test->add(BOOST_TEST_CASE_TEMPLATE(fct##_test, near_eps_test_types));
+    
+    
+#define BOOST_SPECIAL_FUNCTIONS_COMMON_TEST             \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(atanh)     \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(asinh)     \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(acosh)     \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(sinc_pi)   \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR(sinhc_pi)
+    
+#define BOOST_SPECIAL_FUNCTIONS_TEMPLATE_TEMPLATE_TEST          \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS(sinc_pi_complex)   \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS(sinhc_pi_complex)
+    
+    
+#ifdef  BOOST_NO_TEMPLATE_TEMPLATES
+
+#define BOOST_SPECIAL_FUNCTIONS_TEST    \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_TEST \
+    BOOST_TEST_MESSAGE("Warning: no template templates; curtailed functionality.");
+    
+#else   /* BOOST_NO_TEMPLATE_TEMPLATES */
+
+#define BOOST_SPECIAL_FUNCTIONS_TEST                \
+    BOOST_SPECIAL_FUNCTIONS_COMMON_TEST             \
+    BOOST_SPECIAL_FUNCTIONS_TEMPLATE_TEMPLATE_TEST
+    
+#endif  /* BOOST_NO_TEMPLATE_TEMPLATES */
+    
+    
+    BOOST_SPECIAL_FUNCTIONS_TEST
+    
+    
+#undef  BOOST_SPECIAL_FUNCTIONS_TEST
+    
+#undef  BOOST_SPECIAL_FUNCTIONS_TEMPLATE_TEMPLATE_TEST
+
+#undef  BOOST_SPECIAL_FUNCTIONS_COMMON_TEST
+    
+#undef  BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR
+
+#undef  BOOST_SPECIAL_FUNCTIONS_COMMON_GENERATOR_NEAR_EPS
+    
+#ifdef    BOOST_SPECIAL_FUNCTIONS_TEST_VERBOSE
+        
+    using    ::std::numeric_limits;
+    
+    BOOST_TEST_MESSAGE("epsilon");
+    
+    BOOST_TEST_MESSAGE( ::std::setw(15) << numeric_limits<float>::epsilon()
+                << ::std::setw(15) << numeric_limits<double>::epsilon()
+                << ::std::setw(15) << numeric_limits<long double>::epsilon());
+    
+    BOOST_TEST_MESSAGE(" ");
+    
+    test->add(BOOST_TEST_CASE(atanh_manual_check));
+    test->add(BOOST_TEST_CASE(asinh_manual_check));
+    test->add(BOOST_TEST_CASE(acosh_manual_check));
+    test->add(BOOST_TEST_CASE(sinc_pi_manual_check));
+    test->add(BOOST_TEST_CASE(sinhc_pi_manual_check));
+    
+#endif    /* BOOST_SPECIAL_FUNCTIONS_TEST_VERBOSE */
+    
+    return test;
+}
+
+#undef DEFINE_TYPE_NAME
diff --git a/src/boost/libs/math/test/sph_bessel_data.ipp b/src/boost/libs/math/test/sph_bessel_data.ipp
new file mode 100644
index 000000000..bd9f1d922
--- /dev/null
+++ b/src/boost/libs/math/test/sph_bessel_data.ipp
@@ -0,0 +1,491 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 483> sph_bessel_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(0.999999476556507842202459130864323898236e0) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(0.9999991802801447287222232346958222796612e0) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(0.9999907632622405689302860688925139982587e0) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(0.9999657468461303487880990241993035937654e0) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(0.9999483203249623334100130061926184665364e0) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(0.9993691883680863109159389449304869676033e0) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(0.9976182354925345599905760522457355689246e0) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(0.9961219049249727586697484380600284691174e0) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(0.9724739915431544258938594874310588064205e0) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(0.9302056396192119311058689588352213355057e0) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(0.8109851883728203095784514632631378051565e0) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.1523183208785146731314680065502594134681e-1) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(-0.1799836939747169709868781821542134553205e0) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(-0.8644582430311092690468530625290874536115e-2) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(-0.1508556180252377401284155114952468133194e-1) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(0.1266638994943852616886089579836946490336e-1) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(-0.2984906844146395453998586259283750185621e-2) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(-0.3447656740458789191073137012008656930551e-2) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(0.6940935913226775542129988435446092279729e-3) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(0.8305987986864569002626675437293057248821e-3) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(-0.7167649812470622363222627438778746846582e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(0.5907301953593941259509561856854291087832e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(0.7392425179532175006179700888774678679099e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(0.2481486244688331388548761462155911660424e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(0.477857007345182708698871081176423742643e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(0.5869541227527534973977936514325779485181e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(0.205012765381082643967011963466059108825e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(0.3980502019486214219412102921577104486039e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(0.507579971871436936245493977138951657167e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(0.1337779656209597925613024398512918494342e0) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(0.2088414497092880298218980583359870711751e0) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(0.3236312899642309880098636972650663742421e0) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.3277232784787348060184709473722850920387e0) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(-0.1116307129673207101011381466711802872966e0) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.1039199329743298950197804325967556415006e0) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(-0.3809149370198498667373716310901593032325e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(-0.9045323488777102113973090754530543316476e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(-0.7426806470289446901421322001368677195156e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(0.183761395344989507935202292272917754448e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(-0.1861543185509194453611459536122112443011e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(0.5442867382073472255455809862764039075858e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(0.4442651225543710411266851455520061266312e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.177219114266335964202880859375e-2), SC_(0.2093773827720430565251557110538425770714e-6) }}, 
+      {{ SC_(0.2e1), SC_(0.22177286446094512939453125e-2), SC_(0.3278879075515531514779472751721891924383e-6) }}, 
+      {{ SC_(0.2e1), SC_(0.7444499991834163665771484375e-2), SC_(0.3694690716009003179822952040973660348991e-5) }}, 
+      {{ SC_(0.2e1), SC_(0.1433600485324859619140625e-1), SC_(0.1370120120703995134662099191103188366059e-4) }}, 
+      {{ SC_(0.2e1), SC_(0.1760916970670223236083984375e-1), SC_(0.2067173265753174063228459655801741280461e-4) }}, 
+      {{ SC_(0.2e1), SC_(0.6152711808681488037109375e-1), SC_(0.2523041832594696207720873096523404469743e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.11958599090576171875e0), SC_(0.9524137960598563739357464134535327666968e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.15262925624847412109375e0), SC_(0.1550463428413672091078292641795407438935e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.408089816570281982421875e0), SC_(0.1097102611452317567405386767797158993089e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.6540834903717041015625e0), SC_(0.2766037955185958056378446380712964902424e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1097540378570556640625e1), SC_(0.7362360493389258718677168933368717603075e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.30944411754608154296875e1), SC_(0.3024894557597979701575888951210976888787e0) }}, 
+      {{ SC_(0.2e1), SC_(0.51139926910400390625e1), SC_(0.1144982388451644297330327843104009488548e0) }}, 
+      {{ SC_(0.2e1), SC_(0.95070552825927734375e1), SC_(0.4143704967238294556855640424303560695077e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.24750102996826171875e2), SC_(0.1046843026490516523565262690999881523111e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.637722015380859375e2), SC_(-0.1309190404197185674877392619814616382613e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1252804412841796875e3), SC_(0.2807062488056296863373885100415798671326e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.25554705810546875e3), SC_(0.3469229447658863624235064543945418606161e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.503011474609375e3), SC_(-0.7051959813046644551033771629828891764763e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.10074598388671875e4), SC_(-0.8289780291514071759326532983957910172243e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.1185395751953125e4), SC_(0.7178893275807378245723639629312389935114e-3) }}, 
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+      {{ SC_(0.43e2), SC_(0.30944411754608154296875e1), SC_(0.297354822546642285914560953158328580393e-45) }}, 
+      {{ SC_(0.43e2), SC_(0.51139926910400390625e1), SC_(0.6522100266019409770044623454800636241776e-36) }}, 
+      {{ SC_(0.43e2), SC_(0.95070552825927734375e1), SC_(0.1721161665321131684779827276882951985891e-24) }}, 
+      {{ SC_(0.43e2), SC_(0.24750102996826171875e2), SC_(0.5859244041710111729905151572270149812223e-8) }}, 
+      {{ SC_(0.43e2), SC_(0.637722015380859375e2), SC_(-0.1353696759272298967044778067036814439029e-1) }}, 
+      {{ SC_(0.43e2), SC_(0.1252804412841796875e3), SC_(0.4706471952825932298541627133673912851846e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.25554705810546875e3), SC_(-0.3013236362131892566197294262018369224863e-3) }}, 
+      {{ SC_(0.43e2), SC_(0.503011474609375e3), SC_(-0.1233256918054408823768226078718921526159e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.10074598388671875e4), SC_(-0.9917026270512502832706583187232360041197e-3) }}, 
+      {{ SC_(0.43e2), SC_(0.1185395751953125e4), SC_(0.2027733948184595880435953384346723574731e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.177219114266335964202880859375e-2), SC_(0.9040394104538269827502763858866574379154e-199) }}, 
+      {{ SC_(0.46e2), SC_(0.22177286446094512939453125e-2), SC_(0.2732047194656667119666757426400199586458e-194) }}, 
+      {{ SC_(0.46e2), SC_(0.7444499991834163665771484375e-2), SC_(0.4257316737171282042400835165934703549258e-170) }}, 
+      {{ SC_(0.46e2), SC_(0.1433600485324859619140625e-1), SC_(0.5252855754628379568905352359955531795544e-157) }}, 
+      {{ SC_(0.46e2), SC_(0.1760916970670223236083984375e-1), SC_(0.6740455687930813305297333291280199789231e-153) }}, 
+      {{ SC_(0.46e2), SC_(0.6152711808681488037109375e-1), SC_(0.6633691265009777819595520409458305226369e-128) }}, 
+      {{ SC_(0.46e2), SC_(0.11958599090576171875e0), SC_(0.125303426149495589011380306130037125168e-114) }}, 
+      {{ SC_(0.46e2), SC_(0.15262925624847412109375e0), SC_(0.937532932288203153989391220247481417114e-110) }}, 
+      {{ SC_(0.46e2), SC_(0.408089816570281982421875e0), SC_(0.4159927057569031050063861406651463379403e-90) }}, 
+      {{ SC_(0.46e2), SC_(0.6540834903717041015625e0), SC_(0.1103697915951208639745638619848387966328e-80) }}, 
+      {{ SC_(0.46e2), SC_(0.1097540378570556640625e1), SC_(0.2405975820030826693648441346218826820867e-70) }}, 
+      {{ SC_(0.46e2), SC_(0.30944411754608154296875e1), SC_(0.1173776299880355139751103170467745542721e-49) }}, 
+      {{ SC_(0.46e2), SC_(0.51139926910400390625e1), SC_(0.1168965825562227495762644707320434058994e-39) }}, 
+      {{ SC_(0.46e2), SC_(0.95070552825927734375e1), SC_(0.2028596251539445836931564425730981539088e-27) }}, 
+      {{ SC_(0.46e2), SC_(0.24750102996826171875e2), SC_(0.1506307082149153247277810883442524835901e-9) }}, 
+      {{ SC_(0.46e2), SC_(0.637722015380859375e2), SC_(0.9981390073397570470311862738222580946682e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.1252804412841796875e3), SC_(-0.7291170921230448995307745765159879879917e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.25554705810546875e3), SC_(-0.3240042995538310471851852251143813655283e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.503011474609375e3), SC_(-0.1180752496915180759015257303074531713751e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.10074598388671875e4), SC_(0.8112995649167475106523147339693999640721e-4) }}, 
+      {{ SC_(0.46e2), SC_(0.1185395751953125e4), SC_(0.7908406619706603256943101136482675770749e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.177219114266335964202880859375e-2), SC_(0.5515546045969304722008600804322812862354e-213) }}, 
+      {{ SC_(0.49e2), SC_(0.22177286446094512939453125e-2), SC_(0.326650164794020092365784924346435136517e-208) }}, 
+      {{ SC_(0.49e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1925360407412391019857608682831977562776e-182) }}, 
+      {{ SC_(0.49e2), SC_(0.1433600485324859619140625e-1), SC_(0.1696482510953376927277246087752612819038e-168) }}, 
+      {{ SC_(0.49e2), SC_(0.1760916970670223236083984375e-1), SC_(0.4034367000095565704299813933456029116899e-164) }}, 
+      {{ SC_(0.49e2), SC_(0.6152711808681488037109375e-1), SC_(0.1693655026076133877660970241165014704451e-137) }}, 
+      {{ SC_(0.49e2), SC_(0.11958599090576171875e0), SC_(0.2348958117281878334841541282897547765415e-123) }}, 
+      {{ SC_(0.49e2), SC_(0.15262925624847412109375e0), SC_(0.3654033502135831724309937917523935502668e-118) }}, 
+      {{ SC_(0.49e2), SC_(0.408089816570281982421875e0), SC_(0.3099167637766167128925774129143043527408e-97) }}, 
+      {{ SC_(0.49e2), SC_(0.6540834903717041015625e0), SC_(0.3385925104782587944340438218046569787901e-87) }}, 
+      {{ SC_(0.49e2), SC_(0.1097540378570556640625e1), SC_(0.3488075239147121457577900092276265954556e-76) }}, 
+      {{ SC_(0.49e2), SC_(0.30944411754608154296875e1), SC_(0.3823874600343831420393015688949984870929e-54) }}, 
+      {{ SC_(0.49e2), SC_(0.51139926910400390625e1), SC_(0.1727893893654003330466257673489103445204e-43) }}, 
+      {{ SC_(0.49e2), SC_(0.95070552825927734375e1), SC_(0.1966295052177707644956458594445543297349e-30) }}, 
+      {{ SC_(0.49e2), SC_(0.24750102996826171875e2), SC_(0.3095382191507684987784237056495861811507e-11) }}, 
+      {{ SC_(0.49e2), SC_(0.637722015380859375e2), SC_(0.158295373743556601533454490387052548217e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.1252804412841796875e3), SC_(0.82836746548166677824971194819851133652e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.25554705810546875e3), SC_(0.3644444755072188782636164173218495212912e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.503011474609375e3), SC_(0.1873650276195313552512971867889734167198e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.10074598388671875e4), SC_(0.96821173121543674370030596847704670817e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.1185395751953125e4), SC_(-0.3882928591259993124112306803057698639751e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.177219114266335964202880859375e-2), SC_(0.2810426956251312594726679498943253449939e-227) }}, 
+      {{ SC_(0.52e2), SC_(0.22177286446094512939453125e-2), SC_(0.3261821586222305590688396082340930337197e-222) }}, 
+      {{ SC_(0.52e2), SC_(0.7444499991834163665771484375e-2), SC_(0.7272282602335146322076473310722428705234e-195) }}, 
+      {{ SC_(0.52e2), SC_(0.1433600485324859619140625e-1), SC_(0.4575999118312716040572653394509627667421e-180) }}, 
+      {{ SC_(0.52e2), SC_(0.1760916970670223236083984375e-1), SC_(0.2016713378994708224486485028173988784384e-175) }}, 
+      {{ SC_(0.52e2), SC_(0.6152711808681488037109375e-1), SC_(0.3611413640730227943802279701896849784546e-147) }}, 
+      {{ SC_(0.52e2), SC_(0.11958599090576171875e0), SC_(0.3677646815864905481023738513580609303132e-132) }}, 
+      {{ SC_(0.52e2), SC_(0.15262925624847412109375e0), SC_(0.1189435235193540319708552300693475643205e-126) }}, 
+      {{ SC_(0.52e2), SC_(0.408089816570281982421875e0), SC_(0.1928344047619157510429385225938387716745e-104) }}, 
+      {{ SC_(0.52e2), SC_(0.6540834903717041015625e0), SC_(0.8675221916812243553880316898424564367176e-94) }}, 
+      {{ SC_(0.52e2), SC_(0.1097540378570556640625e1), SC_(0.4223229826495542762298450140014968626056e-82) }}, 
+      {{ SC_(0.52e2), SC_(0.30944411754608154296875e1), SC_(0.104005992095441008419804771706791846708e-58) }}, 
+      {{ SC_(0.52e2), SC_(0.51139926910400390625e1), SC_(0.2131148367399257759519412699653606504304e-47) }}, 
+      {{ SC_(0.52e2), SC_(0.95070552825927734375e1), SC_(0.1586614197158476471413308754970129553623e-33) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(0.5175370600854880940253656288662351415917e-13) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(-0.17532409288934115094263569459614392385e-1) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(-0.81931089129677844005131776262320688731e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(-0.8105943479828618683212783966808076515887e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(0.8559984069467296788733442052899950392641e-4) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(-0.3653807379369436466708861221542025660679e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(-0.6931477169897557084753887842368702759482e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1208288753536924400989698078437356511703e-241) }}, 
+      {{ SC_(0.55e2), SC_(0.22177286446094512939453125e-2), SC_(0.2748224243571374121394628637078216213795e-236) }}, 
+      {{ SC_(0.55e2), SC_(0.7444499991834163665771484375e-2), SC_(0.2317629980513787136420907827650557993837e-207) }}, 
+      {{ SC_(0.55e2), SC_(0.1433600485324859619140625e-1), SC_(0.104144686711366844962623177915396851023e-191) }}, 
+      {{ SC_(0.55e2), SC_(0.1760916970670223236083984375e-1), SC_(0.8506043420003708373323912746376820821917e-187) }}, 
+      {{ SC_(0.55e2), SC_(0.6152711808681488037109375e-1), SC_(0.6497467376347885988588920192401434832693e-157) }}, 
+      {{ SC_(0.55e2), SC_(0.11958599090576171875e0), SC_(0.4858242908178906496481848927231899579715e-141) }}, 
+      {{ SC_(0.55e2), SC_(0.15262925624847412109375e0), SC_(0.3266806562437370063677150237483657480669e-135) }}, 
+      {{ SC_(0.55e2), SC_(0.408089816570281982421875e0), SC_(0.1012363516617469262510002411527525089154e-111) }}, 
+      {{ SC_(0.55e2), SC_(0.6540834903717041015625e0), SC_(0.1875396080076928265201291332242100047049e-100) }}, 
+      {{ SC_(0.55e2), SC_(0.1097540378570556640625e1), SC_(0.4314225131885992800618800784424280652408e-88) }}, 
+      {{ SC_(0.55e2), SC_(0.30944411754608154296875e1), SC_(0.2386188946009811741115402149427915301942e-63) }}, 
+      {{ SC_(0.55e2), SC_(0.51139926910400390625e1), SC_(0.2216092396198493700432387401826650688793e-51) }}, 
+      {{ SC_(0.55e2), SC_(0.95070552825927734375e1), SC_(0.1077268775045601594715005289873066535698e-36) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(0.7145924372118157260136350067139292902786e-15) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(-0.9639150724102627821461487026096968045471e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(0.7613679890890913165510416348925798112055e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(-0.2628460166452094563254227164509714721701e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(-0.1916611872581451277353556345649407783691e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(-0.8532381652732649330426131075577885254381e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(0.5715720651795509548926590280953054477066e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.177219114266335964202880859375e-2), SC_(0.442323764221339251671141303318431108478e-256) }}, 
+      {{ SC_(0.58e2), SC_(0.22177286446094512939453125e-2), SC_(0.1971583791626620727195469420538567193962e-250) }}, 
+      {{ SC_(0.58e2), SC_(0.7444499991834163665771484375e-2), SC_(0.6289100883677515415757195488104887078879e-220) }}, 
+      {{ SC_(0.58e2), SC_(0.1433600485324859619140625e-1), SC_(0.2018177733122065474623739428744794685423e-203) }}, 
+      {{ SC_(0.58e2), SC_(0.1760916970670223236083984375e-1), SC_(0.3054795320059194548696602856000938647052e-198) }}, 
+      {{ SC_(0.58e2), SC_(0.6152711808681488037109375e-1), SC_(0.9953642739298005551795428591931462815948e-167) }}, 
+      {{ SC_(0.58e2), SC_(0.11958599090576171875e0), SC_(0.546461267246679212639001052047785879468e-150) }}, 
+      {{ SC_(0.58e2), SC_(0.15262925624847412109375e0), SC_(0.7639710377234199236097520431614621507318e-144) }}, 
+      {{ SC_(0.58e2), SC_(0.408089816570281982421875e0), SC_(0.4525408091084346067559391415753234146623e-119) }}, 
+      {{ SC_(0.58e2), SC_(0.6540834903717041015625e0), SC_(0.3452008641978455477403610949257595865265e-107) }}, 
+      {{ SC_(0.58e2), SC_(0.1097540378570556640625e1), SC_(0.3752484512573063001603693690152615718616e-94) }}, 
+      {{ SC_(0.58e2), SC_(0.30944411754608154296875e1), SC_(0.4660345641388563178171531149615009184069e-68) }}, 
+      {{ SC_(0.58e2), SC_(0.51139926910400390625e1), SC_(0.1960863006295924933138482025108297330693e-55) }}, 
+      {{ SC_(0.58e2), SC_(0.95070552825927734375e1), SC_(0.6213624017861198159027984879634566021036e-40) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(0.8252480997909935579863933179819188239925e-17) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(0.2016586308654754622690091357752537719812e-1) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(-0.7017468118833063218312557452977246591573e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(0.3961059662958721103739812991599937252217e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(0.1159722024061608331934095179228494399393e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(0.6455961901963375666872388539662639143768e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(0.5324640861533894098235525421246130031191e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.177219114266335964202880859375e-2), SC_(0.1390063099953273001760976643829493412235e-270) }}, 
+      {{ SC_(0.61e2), SC_(0.22177286446094512939453125e-2), SC_(0.1214235746891325324123447717603508906882e-264) }}, 
+      {{ SC_(0.61e2), SC_(0.7444499991834163665771484375e-2), SC_(0.1465067803501878545612089003565516614999e-232) }}, 
+      {{ SC_(0.61e2), SC_(0.1433600485324859619140625e-1), SC_(0.3357425642907951097269617118707813745614e-215) }}, 
+      {{ SC_(0.61e2), SC_(0.1760916970670223236083984375e-1), SC_(0.9418057496533460392723945550704596626117e-210) }}, 
+      {{ SC_(0.61e2), SC_(0.6152711808681488037109375e-1), SC_(0.1309015102638367959763911559061398598334e-176) }}, 
+      {{ SC_(0.61e2), SC_(0.11958599090576171875e0), SC_(0.5276720779633476596305457037624920158493e-159) }}, 
+      {{ SC_(0.61e2), SC_(0.15262925624847412109375e0), SC_(0.1533750989168073201676611877485582641816e-152) }}, 
+      {{ SC_(0.61e2), SC_(0.408089816570281982421875e0), SC_(0.1736609472559701112844257684577329098627e-126) }}, 
+      {{ SC_(0.61e2), SC_(0.6540834903717041015625e0), SC_(0.5454707501690087691332936974401497393552e-114) }}, 
+      {{ SC_(0.61e2), SC_(0.1097540378570556640625e1), SC_(0.2801873396633198777831566955045782029762e-100) }}, 
+      {{ SC_(0.61e2), SC_(0.30944411754608154296875e1), SC_(0.7812083655684529175645698522139037522772e-73) }}, 
+      {{ SC_(0.61e2), SC_(0.51139926910400390625e1), SC_(0.1488629979362386514563024050166990786373e-59) }}, 
+      {{ SC_(0.61e2), SC_(0.95070552825927734375e1), SC_(0.3070674775920232104372515582146972644154e-43) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(0.8059317390853095912429339684297296887014e-19) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(0.2553438361299694660955712647272386491838e-1) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(0.6702527215895999645298014803289940554868e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(-0.2435818794268515565710215283462154963534e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(0.1113025090458558853547625070047439913018e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(0.6282813469515595099026690750450965536512e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(-0.7280704607550679547528319738669934801603e-3) }}
+   }};
+
diff --git a/src/boost/libs/math/test/sph_bessel_prime_data.ipp b/src/boost/libs/math/test/sph_bessel_prime_data.ipp
new file mode 100644
index 000000000..c98af617d
--- /dev/null
+++ b/src/boost/libs/math/test/sph_bessel_prime_data.ipp
@@ -0,0 +1,492 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 483> sph_bessel_prime_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(-0.00059073019535939412595095618568542910878323045134112) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(-0.0007392425179532175006179700888774678679099292507914) }}, 
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+      {{ SC_(0.52e2), SC_(0.6540834903717041015625e0), SC_(6.8963191752321978717285541566277411929957116311348e-93) }}, 
+      {{ SC_(0.52e2), SC_(0.1097540378570556640625e1), SC_(2.0004767539355678595455700978821155299365525515893e-81) }}, 
+      {{ SC_(0.52e2), SC_(0.30944411754608154296875e1), SC_(1.7447403263191658956236453842155848777769879365678e-58) }}, 
+      {{ SC_(0.52e2), SC_(0.51139926910400390625e1), SC_(2.1567814746633518149573636695707201486897157917772e-47) }}, 
+      {{ SC_(0.52e2), SC_(0.95070552825927734375e1), SC_(8.5360984670723598078708244156118269969115503747257e-34) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(9.6060272004903322555555632525925341749138146156907e-14) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(0.006908601793473096298323418806687121540307945754602) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(-0.001511757553038325947585368492378747782337215149421) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(-0.0037858209621674373462298729134791360497163520374069) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(-0.0019809328831869368876220080380433647612809704631087) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(-0.00092200687722808090005995172059672150180743809268283) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(0.00048167937168500539874758510969943625232721572654437) }}, 
+      {{ SC_(0.55e2), SC_(0.177219114266335964202880859375e-2), SC_(3.7499274096965781403755047291140161204907447872079e-238) }}, 
+      {{ SC_(0.55e2), SC_(0.22177286446094512939453125e-2), SC_(6.8156369646128465690286532515860830877781488075398e-233) }}, 
+      {{ SC_(0.55e2), SC_(0.7444499991834163665771484375e-2), SC_(1.7122660747048565255626343786097763976528368796317e-204) }}, 
+      {{ SC_(0.55e2), SC_(0.1433600485324859619140625e-1), SC_(3.9955047716183914987761883255557038544818646167407e-189) }}, 
+      {{ SC_(0.55e2), SC_(0.1760916970670223236083984375e-1), SC_(2.6567542510578514165105911532729820728759508569179e-184) }}, 
+      {{ SC_(0.55e2), SC_(0.6152711808681488037109375e-1), SC_(5.8081785583507577295015116363296166486701161948475e-155) }}, 
+      {{ SC_(0.55e2), SC_(0.11958599090576171875e0), SC_(2.2343983863523528056451847025992477458763997926411e-139) }}, 
+      {{ SC_(0.55e2), SC_(0.15262925624847412109375e0), SC_(1.1771903491869512075462189279952313690643597693028e-133) }}, 
+      {{ SC_(0.55e2), SC_(0.408089816570281982421875e0), SC_(1.3643688014628027906587326086714925578079475494015e-110) }}, 
+      {{ SC_(0.55e2), SC_(0.6540834903717041015625e0), SC_(1.5768580818724559427837940690686281474208252257894e-99) }}, 
+      {{ SC_(0.55e2), SC_(0.1097540378570556640625e1), SC_(2.1615276523190658462020328801805510693869381236864e-87) }}, 
+      {{ SC_(0.55e2), SC_(0.30944411754608154296875e1), SC_(4.2346268961579078795789945127742390736624102001168e-63) }}, 
+      {{ SC_(0.55e2), SC_(0.51139926910400390625e1), SC_(2.3733148720740138224053085922360925485635049732368e-51) }}, 
+      {{ SC_(0.55e2), SC_(0.95070552825927734375e1), SC_(6.1409175579485028996750267978630042798061205873868e-37) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(1.4233100381415828902958185237029417343254441363024e-15) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(-0.0095812290850987183413608150795252333160605783231688) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(0.0031764973177480983239838537298407622280291942692672) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(0.0029026850504740781957066048954958719842096907926845) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(0.00055103958348322567252256718296661947038978095706673) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(0.00050872952715596185376282875298835402606685453166988) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(0.00061992219813287452157517509292431972827188083669598) }}, 
+      {{ SC_(0.58e2), SC_(0.177219114266335964202880859375e-2), SC_(1.4476304330586041136551705000804145544902261640658e-252) }}, 
+      {{ SC_(0.58e2), SC_(0.22177286446094512939453125e-2), SC_(5.1562602174440199627484531866737157576226691467083e-247) }}, 
+      {{ SC_(0.58e2), SC_(0.7444499991834163665771484375e-2), SC_(4.8998300587608731374827545421219171950099307319986e-217) }}, 
+      {{ SC_(0.58e2), SC_(0.1433600485324859619140625e-1), SC_(8.1650575759274771557361281104075843991539954474695e-201) }}, 
+      {{ SC_(0.58e2), SC_(0.1760916970670223236083984375e-1), SC_(1.0061696465790781667736469203102729534045381762147e-195) }}, 
+      {{ SC_(0.58e2), SC_(0.6152711808681488037109375e-1), SC_(9.3830327209999123686806584846160930127251471007793e-165) }}, 
+      {{ SC_(0.58e2), SC_(0.11958599090576171875e0), SC_(2.650367956085127995216751337073278183462605995287e-148) }}, 
+      {{ SC_(0.58e2), SC_(0.15262925624847412109375e0), SC_(2.903124323622911409829050402803289231887083028365e-142) }}, 
+      {{ SC_(0.58e2), SC_(0.408089816570281982421875e0), SC_(6.4316070964139898664384321499139698923133148702845e-118) }}, 
+      {{ SC_(0.58e2), SC_(0.6540834903717041015625e0), SC_(3.0608338729787222843236230594814098330550735585225e-106) }}, 
+      {{ SC_(0.58e2), SC_(0.1097540378570556640625e1), SC_(1.9826706855355044678661424675211702071205612839288e-93) }}, 
+      {{ SC_(0.58e2), SC_(0.30944411754608154296875e1), SC_(8.7228930336356092303723788918145325583313934911015e-68) }}, 
+      {{ SC_(0.58e2), SC_(0.51139926910400390625e1), SC_(2.2154573151564605748776496480208597972846093651378e-55) }}, 
+      {{ SC_(0.58e2), SC_(0.95070552825927734375e1), SC_(3.7408088108382429205686154655296968150299217766739e-40) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(1.7542837953515687203678203434382344249154612451961e-17) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(-0.0067708610212249877224120895037510817852901962275794) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(-0.0041591007901644300956897573166715522264542608471619) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(0.00018025720350905183747192616094732195540361038314487) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(0.0016097164295892651390631514736999139286215525312629) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(0.00075314462564204569171828178095268549063987732399349) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(-0.00065464124389262563181804449659033668956464404581817) }}, 
+      {{ SC_(0.61e2), SC_(0.177219114266335964202880859375e-2), SC_(4.7846898125667423746743417551270010003238247276516e-267) }}, 
+      {{ SC_(0.61e2), SC_(0.22177286446094512939453125e-2), SC_(3.3398306277294130849325090739222518892213759455678e-261) }}, 
+      {{ SC_(0.61e2), SC_(0.7444499991834163665771484375e-2), SC_(1.2004719653715347459853992856818224416918187152011e-229) }}, 
+      {{ SC_(0.61e2), SC_(0.1433600485324859619140625e-1), SC_(1.4285915831759991702708235266908413559013185784195e-212) }}, 
+      {{ SC_(0.61e2), SC_(0.1760916970670223236083984375e-1), SC_(3.2625131876993266095119855855632714544764549752144e-207) }}, 
+      {{ SC_(0.61e2), SC_(0.6152711808681488037109375e-1), SC_(1.2977998011404656319853160359712626507524420160768e-174) }}, 
+      {{ SC_(0.61e2), SC_(0.11958599090576171875e0), SC_(2.6916143055563581590059162764926003782754791173255e-157) }}, 
+      {{ SC_(0.61e2), SC_(0.15262925624847412109375e0), SC_(6.1297897139867231982089254896862393455712506778801e-151) }}, 
+      {{ SC_(0.61e2), SC_(0.408089816570281982421875e0), SC_(2.5957732787881650403239180128287001269910591991745e-125) }}, 
+      {{ SC_(0.61e2), SC_(0.6540834903717041015625e0), SC_(5.0867892663014227309637157527310247694699831316708e-113) }}, 
+      {{ SC_(0.61e2), SC_(0.1097540378570556640625e1), SC_(1.5570021614075599265149811316648324454876817163322e-99) }}, 
+      {{ SC_(0.61e2), SC_(0.30944411754608154296875e1), SC_(1.5380428116647953033235087266220830366935795977434e-72) }}, 
+      {{ SC_(0.61e2), SC_(0.51139926910400390625e1), SC_(1.7695460915697677845853843221170529803110031977443e-59) }}, 
+      {{ SC_(0.61e2), SC_(0.95070552825927734375e1), SC_(1.9467442792778411416797267656516287666544599838604e-43) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(1.8200790244284308790522222260292196200777876151537e-19) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(0.0018677398563172789782680089690103735276080112074262) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(0.0045651073151555244232064475776021546403039720433722) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(-0.0030353854346433689710635352699470295083576244341073) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(-0.0016460943300783220104010798160172646122205004417106) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(-0.00076883161702827974394772020363121878699485590527748) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(-0.00042604986672311800200670840141747346530141242152301) }},
+   }};
+
+
diff --git a/src/boost/libs/math/test/sph_neumann_data.ipp b/src/boost/libs/math/test/sph_neumann_data.ipp
new file mode 100644
index 000000000..b15318fae
--- /dev/null
+++ b/src/boost/libs/math/test/sph_neumann_data.ipp
@@ -0,0 +1,293 @@
+//  Copyright (c) 2007 John Maddock
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 284> sph_neumann_data = {{
+      {{ SC_(0.0), SC_(0.177219114266335964202880859375e-2), SC_(-0.5642723324792311990959765396871018960216e3) }}, 
+      {{ SC_(0.0), SC_(0.22177286446094512939453125e-2), SC_(-0.4509106843488238999473616173421364998283e3) }}, 
+      {{ SC_(0.0), SC_(0.7444499991834163665771484375e-2), SC_(-0.1343236336805396008478682587573788632696e3) }}, 
+      {{ SC_(0.0), SC_(0.1433600485324859619140625e-1), SC_(-0.6974727279167912880150678975872617495088e2) }}, 
+      {{ SC_(0.0), SC_(0.1760916970670223236083984375e-1), SC_(-0.5677979025875563956840873378239183466216e2) }}, 
+      {{ SC_(0.0), SC_(0.6152711808681488037109375e-1), SC_(-0.1622224207701819661207370690041340570512e2) }}, 
+      {{ SC_(0.0), SC_(0.11958599090576171875e0), SC_(-0.8302461728079151325461513362583139756373e1) }}, 
+      {{ SC_(0.0), SC_(0.15262925624847412109375e0), SC_(-0.6475657248546134771634572625845233177042e1) }}, 
+      {{ SC_(0.0), SC_(0.408089816570281982421875e0), SC_(-0.2249212131304610409189209411089291558038e1) }}, 
+      {{ SC_(0.0), SC_(0.6540834903717041015625e0), SC_(-0.1213309779166084571756446746977955970241e1) }}, 
+      {{ SC_(0.0), SC_(0.1097540378570556640625e1), SC_(-0.4152801926629981090971418551680239835571e0) }}, 
+      {{ SC_(0.0), SC_(0.30944411754608154296875e1), SC_(0.3228009577028088632835185600650872623482e0) }}, 
+      {{ SC_(0.0), SC_(0.51139926910400390625e1), SC_(-0.7643635410754817824148236191571837220126e-1) }}, 
+      {{ SC_(0.0), SC_(0.95070552825927734375e1), SC_(0.1048292137319730265210439388887370801248e0) }}, 
+      {{ SC_(0.0), SC_(0.24750102996826171875e2), SC_(-0.3748197858988794731118470575529801883541e-1) }}, 
+      {{ SC_(0.0), SC_(0.637722015380859375e2), SC_(-0.9243942787530241818116046978138604629927e-2) }}, 
+      {{ SC_(0.0), SC_(0.1252804412841796875e3), SC_(-0.7402980669441766401839846974565600278467e-2) }}, 
+      {{ SC_(0.0), SC_(0.25554705810546875e3), SC_(0.1851105232770496300381256908203514858216e-2) }}, 
+      {{ SC_(0.0), SC_(0.503011474609375e3), SC_(-0.1862923061767209624572519967199174532136e-2) }}, 
+      {{ SC_(0.0), SC_(0.10074598388671875e4), SC_(0.5434622896619636174822759159195129760936e-3) }}, 
+      {{ SC_(0.0), SC_(0.1185395751953125e4), SC_(0.4448697855794123235553917677921400676563e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(-0.318404765200112567469157464785027433823e6) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(-0.2033219452576704738500460434959917636461e6) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(-0.1804433853974285124747494278925454917131e5) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(-0.486618196768193316259977336624918918276e4) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(-0.322544443971191302525452896173067683304e4) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(-0.2646594036812657100698306327292119166165e3) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(-0.704243267085761836707775439192578042573e2) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(-0.434234874553672313920027034930149194407e2) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(-0.6484035515444221775976367630376209298567e1) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(-0.2785182560801830440325676905703325489184e1) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(-0.1189358686761883310370162855037394165611e1) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.8908456605946127242501038405190438284591e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(0.1650371817824980920597277760628969935339e0) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.1967104757813801271824802511806652238075e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(0.1357114472738293735380837736920673513642e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(-0.1281134249246794610073876109037108992935e-1) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(0.2925815571849156117920315547136950241325e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(0.3454900436576811073075917245701360162869e-2) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(-0.6977971312135198156036217479682334535885e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(-0.830059360518605915833351761559017133065e-3) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(0.7171402734520886334015615434326112966186e-3) }}, 
+      {{ SC_(0.2e1), SC_(0.177219114266335964202880859375e-2), SC_(-0.5390012807345113883197792587292120542031e9) }}, 
+      {{ SC_(0.2e1), SC_(0.22177286446094512939453125e-2), SC_(-0.2750403378962024584351226505492891996551e9) }}, 
+      {{ SC_(0.2e1), SC_(0.7444499991834163665771484375e-2), SC_(-0.7271410532113085385774156481477356217156e7) }}, 
+      {{ SC_(0.2e1), SC_(0.1433600485324859619140625e-1), SC_(-0.1018243656809079180564791631983824027866e7) }}, 
+      {{ SC_(0.2e1), SC_(0.1760916970670223236083984375e-1), SC_(-0.5494485904403902454288040447187085252735e6) }}, 
+      {{ SC_(0.2e1), SC_(0.6152711808681488037109375e-1), SC_(-0.1288830239246692985269728537863836376468e5) }}, 
+      {{ SC_(0.2e1), SC_(0.11958599090576171875e0), SC_(-0.1758400966704601107905829221340068593333e4) }}, 
+      {{ SC_(0.2e1), SC_(0.15262925624847412109375e0), SC_(-0.8470334639256196191828910705235499636086e3) }}, 
+      {{ SC_(0.2e1), SC_(0.408089816570281982421875e0), SC_(-0.4541702641837159203058389758895634766256e2) }}, 
+      {{ SC_(0.2e1), SC_(0.6540834903717041015625e0), SC_(-0.1156112621471167110574129561700037138981e2) }}, 
+      {{ SC_(0.2e1), SC_(0.1097540378570556640625e1), SC_(-0.2835694559566832562081631532476610393593e1) }}, 
+      {{ SC_(0.2e1), SC_(0.30944411754608154296875e1), SC_(-0.2364352189394648962564115002206693193264e0) }}, 
+      {{ SC_(0.2e1), SC_(0.51139926910400390625e1), SC_(0.1732514211714791641487261827982664865146e0) }}, 
+      {{ SC_(0.2e1), SC_(0.95070552825927734375e1), SC_(-0.9862191389198304425904745146753435952401e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.24750102996826171875e2), SC_(0.3912695898400467874867999209317768037635e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.637722015380859375e2), SC_(0.8641265969881876225898539254984860529714e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.1252804412841796875e3), SC_(0.7473043056080692435099953164437164248053e-2) }}, 
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+      {{ SC_(0.31e2), SC_(0.25554705810546875e3), SC_(-0.4708447548154973984774979548889890332232e-3) }}, 
+      {{ SC_(0.31e2), SC_(0.503011474609375e3), SC_(0.1938585486734996435913653188875075463759e-2) }}, 
+      {{ SC_(0.31e2), SC_(0.10074598388671875e4), SC_(0.4751515606683130102889789705916848210342e-3) }}, 
+      {{ SC_(0.31e2), SC_(0.1185395751953125e4), SC_(-0.8358404490289695691960973315323391126047e-3) }}, 
+      {{ SC_(0.34e2), SC_(0.51139926910400390625e1), SC_(-0.9282996603826470817559175093201479899353e23) }}, 
+      {{ SC_(0.34e2), SC_(0.95070552825927734375e1), SC_(-0.5671896870965902667567112773375443299376e14) }}, 
+      {{ SC_(0.34e2), SC_(0.24750102996826171875e2), SC_(-0.1196836896972653347610997098886066849879e2) }}, 
+      {{ SC_(0.34e2), SC_(0.637722015380859375e2), SC_(-0.7840611740006562731867360753764337981193e-2) }}, 
+      {{ SC_(0.34e2), SC_(0.1252804412841796875e3), SC_(-0.2528119461363815663298862242098595394995e-2) }}, 
+      {{ SC_(0.34e2), SC_(0.25554705810546875e3), SC_(0.3790521728300347929686504759069995348496e-2) }}, 
+      {{ SC_(0.34e2), SC_(0.503011474609375e3), SC_(0.6131119580874945273384687636612133212937e-4) }}, 
+      {{ SC_(0.34e2), SC_(0.10074598388671875e4), SC_(-0.9142183498980430984586827864611642159497e-3) }}, 
+      {{ SC_(0.34e2), SC_(0.1185395751953125e4), SC_(-0.4511848776391923835124583337569697441159e-4) }}, 
+      {{ SC_(0.37e2), SC_(0.51139926910400390625e1), SC_(-0.2442375728698405242925453667580696210245e27) }}, 
+      {{ SC_(0.37e2), SC_(0.95070552825927734375e1), SC_(-0.2229542216375343293897440256273780674204e17) }}, 
+      {{ SC_(0.37e2), SC_(0.24750102996826171875e2), SC_(-0.1737444169853745325867053393033933403419e3) }}, 
+      {{ SC_(0.37e2), SC_(0.637722015380859375e2), SC_(0.4279824575041896675727883899347662880186e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.1252804412841796875e3), SC_(0.6929401282911254411240566948180148883389e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.25554705810546875e3), SC_(-0.2511648418349492118440212332844329555998e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.503011474609375e3), SC_(-0.1957162644941089839867703502493036932186e-2) }}, 
+      {{ SC_(0.37e2), SC_(0.10074598388671875e4), SC_(-0.2872884073535241094708945526011230038645e-3) }}, 
+      {{ SC_(0.37e2), SC_(0.1185395751953125e4), SC_(0.8432140708713275871141861113932655356805e-3) }}, 
+      {{ SC_(0.4e2), SC_(0.95070552825927734375e1), SC_(-0.1128026063781401159493204975300213163583e20) }}, 
+      {{ SC_(0.4e2), SC_(0.24750102996826171875e2), SC_(-0.3536320450284364302528532664762113675546e4) }}, 
+      {{ SC_(0.4e2), SC_(0.637722015380859375e2), SC_(0.2749332472515275038091640131810993326854e-2) }}, 
+      {{ SC_(0.4e2), SC_(0.1252804412841796875e3), SC_(-0.8189335561734438098491340276810366230728e-2) }}, 
+      {{ SC_(0.4e2), SC_(0.25554705810546875e3), SC_(-0.1601472101873495352874904527747422350107e-2) }}, 
+      {{ SC_(0.4e2), SC_(0.503011474609375e3), SC_(0.8063429370382054903944011477925178824483e-3) }}, 
+      {{ SC_(0.4e2), SC_(0.10074598388671875e4), SC_(0.9774185681131416958979641163273033546007e-3) }}, 
+      {{ SC_(0.4e2), SC_(0.1185395751953125e4), SC_(-0.1146975806174666671253112473359257996345e-3) }}, 
+      {{ SC_(0.43e2), SC_(0.95070552825927734375e1), SC_(-0.7198591295447037635860529334856057232135e22) }}, 
+      {{ SC_(0.43e2), SC_(0.24750102996826171875e2), SC_(-0.9641200720117521887788006798691601480704e5) }}, 
+      {{ SC_(0.43e2), SC_(0.637722015380859375e2), SC_(-0.1236200080963258936021132338688942409822e-1) }}, 
+      {{ SC_(0.43e2), SC_(0.1252804412841796875e3), SC_(0.6766741286829961971926652018652618379149e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.25554705810546875e3), SC_(0.3930507468976728535272404195834679836265e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.503011474609375e3), SC_(0.1564028674659955458649814316707562782221e-2) }}, 
+      {{ SC_(0.43e2), SC_(0.10074598388671875e4), SC_(0.5187580633057582060435802616437238457919e-4) }}, 
+      {{ SC_(0.43e2), SC_(0.1185395751953125e4), SC_(-0.8191603697467604740041636746614045025268e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.95070552825927734375e1), SC_(-0.5695769033255529210361047038599776733494e25) }}, 
+      {{ SC_(0.46e2), SC_(0.24750102996826171875e2), SC_(-0.3407542572880364861061570256982516465991e7) }}, 
+      {{ SC_(0.46e2), SC_(0.637722015380859375e2), SC_(0.1892031070374081055519173538522022424373e-1) }}, 
+      {{ SC_(0.46e2), SC_(0.1252804412841796875e3), SC_(-0.3930999501654252080115547096167591365109e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.25554705810546875e3), SC_(-0.2252774787151350219685297262688267474083e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.503011474609375e3), SC_(-0.160470127490624290303361714195055152753e-2) }}, 
+      {{ SC_(0.46e2), SC_(0.10074598388671875e4), SC_(-0.9898053187382996942921915807261270222834e-3) }}, 
+      {{ SC_(0.46e2), SC_(0.1185395751953125e4), SC_(0.2945850112272429804450537869110995190276e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.95070552825927734375e1), SC_(-0.5505988900115077682063953616131381316684e28) }}, 
+      {{ SC_(0.49e2), SC_(0.24750102996826171875e2), SC_(-0.1522647860770080599776352342021496844231e9) }}, 
+      {{ SC_(0.49e2), SC_(0.637722015380859375e2), SC_(-0.117811227613905121473227334683521728565e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.1252804412841796875e3), SC_(0.8581798088552142472627658285170409572199e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.25554705810546875e3), SC_(-0.1525297082577234374630319883497973286237e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.503011474609375e3), SC_(-0.6789386510763052793814186176994423811279e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.10074598388671875e4), SC_(0.2213660813860061497235236488103940641175e-3) }}, 
+      {{ SC_(0.49e2), SC_(0.1185395751953125e4), SC_(0.7493404081650790642056171825780752281226e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(-0.8431613692546440958427835805924554720791e10) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(-0.1115225300535010626455229302801432083119e-1) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(0.1744660661299516008597246745970354205394e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(0.3871637644673301315119914349891630279192e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(0.1991638261007561367287975226510189975247e-2) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(0.9236248731028976631695212457160479065712e-3) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(-0.4815665463345610915674607850479789186718e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(-0.5691393603639469399255323205962188964084e12) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(0.2006392327938634300862385080463293572511e-1) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(-0.3619108023378490361858076559653708839139e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(-0.2962856754548850012378937612844037689574e-2) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(-0.5505670779964820186689463080699492719812e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(-0.5086536723538768197623992809520331865266e-3) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(-0.6210859629328079732529943111160023713285e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(-0.4618503933439028301329509946039169091138e14) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(0.1402558269735743898212790386772249256841e-1) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(0.4775384619486356255055098430929380737203e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(-0.2015373395162996137089683702058573806025e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(-0.1623050637742511470123447378958753891598e-2) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(-0.7550604452502297124697636692423906683648e-3) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(0.6549895436356671365157678660370603606525e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(-0.4452493733367375303990916467937068229415e16) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(-0.1321805471789013172474419554540756891808e-1) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(-0.531088356762363908667551449646716451263e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(0.3137411891941427755699863352585675704239e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(0.1656289965758384211758434873072034259055e-2) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(0.7696420775050426274332928912448241809519e-3) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(0.4272402417161322625448726249065820441606e-3) }}
+   }};
+
+
diff --git a/src/boost/libs/math/test/sph_neumann_prime_data.ipp b/src/boost/libs/math/test/sph_neumann_prime_data.ipp
new file mode 100644
index 000000000..1a94d2902
--- /dev/null
+++ b/src/boost/libs/math/test/sph_neumann_prime_data.ipp
@@ -0,0 +1,273 @@
+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 263> sph_neumann_prime_data = {{
+      {{ SC_(0.1e1), SC_(0.177219114266335964202880859375e-2), SC_(359333999.0655634324694531404939614737681147243398) }}, 
+      {{ SC_(0.1e1), SC_(0.22177286446094512939453125e-2), SC_(183360074.96057352268211511791232035239121240115451) }}, 
+      {{ SC_(0.1e1), SC_(0.7444499991834163665771484375e-2), SC_(4847562.2468641634106491550315653183518163006043786) }}, 
+      {{ SC_(0.1e1), SC_(0.1433600485324859619140625e-1), SC_(678805.85544845556066692725239262977651894085545557) }}, 
+      {{ SC_(0.1e1), SC_(0.1760916970670223236083984375e-1), SC_(366280.13369684057840601322690121155290414400996075) }}, 
+      {{ SC_(0.1e1), SC_(0.6152711808681488037109375e-1), SC_(8586.7941809522805029274990167921047078879662919446) }}, 
+      {{ SC_(0.1e1), SC_(0.11958599090576171875e0), SC_(1169.4998238937076881620656431058513489697019811062) }}, 
+      {{ SC_(0.1e1), SC_(0.15262925624847412109375e0), SC_(562.53042353423103453138252280708489801338881213709) }}, 
+      {{ SC_(0.1e1), SC_(0.408089816570281982421875e0), SC_(29.528280235146191217326195255607801255694362737253) }}, 
+      {{ SC_(0.1e1), SC_(0.6540834903717041015625e0), SC_(7.3029808834190858799087148290075956031296309375727) }}, 
+      {{ SC_(0.1e1), SC_(0.1097540378570556640625e1), SC_(1.7520363088235556716887070699283989345431477734288) }}, 
+      {{ SC_(0.1e1), SC_(0.30944411754608154296875e1), SC_(0.26522379852724621859878052016880863366699269358044) }}, 
+      {{ SC_(0.1e1), SC_(0.51139926910400390625e1), SC_(-0.14097973215016883551297824250408378174352082729301) }}, 
+      {{ SC_(0.1e1), SC_(0.95070552825927734375e1), SC_(0.10069101383864637167971294727460193305761274025824) }}, 
+      {{ SC_(0.1e1), SC_(0.24750102996826171875e2), SC_(-0.03857863218596576826951489664721779319603309324794) }}, 
+      {{ SC_(0.1e1), SC_(0.637722015380859375e2), SC_(-0.0088421582424313314233043751627027752297847168831446) }}, 
+      {{ SC_(0.1e1), SC_(0.1252804412841796875e3), SC_(-0.0074496889272010504240132511011466429248577218770129) }}, 
+      {{ SC_(0.1e1), SC_(0.25554705810546875e3), SC_(0.0018240659824485386662074451116218711462193917448094) }}, 
+      {{ SC_(0.1e1), SC_(0.503011474609375e3), SC_(-0.0018601485837823667935137723026886188368476364922577) }}, 
+      {{ SC_(0.1e1), SC_(0.10074598388671875e4), SC_(0.0005451101158650447149405572398059096253944883094538) }}, 
+      {{ SC_(0.1e1), SC_(0.1185395751953125e4), SC_(0.00044365982633623047848806840178568249990997694189554) }}, 
+      {{ SC_(0.2e1), SC_(0.177219114266335964202880859375e-2), SC_(912431644082.87013473772752757882565300486288333057) }}, 
+      {{ SC_(0.2e1), SC_(0.22177286446094512939453125e-2), SC_(372056592577.8586498192494156231399648464957675173) }}, 
+      {{ SC_(0.2e1), SC_(0.7444499991834163665771484375e-2), SC_(2930230007.2790547450960609343138097920878586745713) }}, 
+      {{ SC_(0.2e1), SC_(0.1433600485324859619140625e-1), SC_(213076184.06160999468936202617229638832164230987561) }}, 
+      {{ SC_(0.2e1), SC_(0.1760916970670223236083984375e-1), SC_(93604014.350278903611780200483209022625430010130218) }}, 
+      {{ SC_(0.2e1), SC_(0.6152711808681488037109375e-1), SC_(628155.9196789361284981387791525806930365557094831) }}, 
+      {{ SC_(0.2e1), SC_(0.11958599090576171875e0), SC_(44041.790324511420099836446386761002939531625293417) }}, 
+      {{ SC_(0.2e1), SC_(0.15262925624847412109375e0), SC_(16605.418643047139063623067814083272008540956587807) }}, 
+      {{ SC_(0.2e1), SC_(0.408089816570281982421875e0), SC_(327.3911893069065300460497366590889841990083098882) }}, 
+      {{ SC_(0.2e1), SC_(0.6540834903717041015625e0), SC_(50.24073714927227871027454636072509051101950218415) }}, 
+      {{ SC_(0.2e1), SC_(0.1097540378570556640625e1), SC_(6.5616852336268826560069305111479773650366271702116) }}, 
+      {{ SC_(0.2e1), SC_(0.30944411754608154296875e1), SC_(0.31830387145238634428775905874567477304417971742745) }}, 
+      {{ SC_(0.2e1), SC_(0.51139926910400390625e1), SC_(0.063403430051669078970604766527701952854238434961942) }}, 
+      {{ SC_(0.2e1), SC_(0.95070552825927734375e1), SC_(0.050791697756503267541605619450228936547727403708921) }}, 
+      {{ SC_(0.2e1), SC_(0.24750102996826171875e2), SC_(0.0088285027687993158359101383429936457186371674756963) }}, 
+      {{ SC_(0.2e1), SC_(0.637722015380859375e2), SC_(-0.013217848733187320629471277317281588139976373991784) }}, 
+      {{ SC_(0.2e1), SC_(0.1252804412841796875e3), SC_(0.0027468640217234051899448674476334240352291987005143) }}, 
+      {{ SC_(0.2e1), SC_(0.25554705810546875e3), SC_(0.003476155383169156295453512402626845717328268463924) }}, 
+      {{ SC_(0.2e1), SC_(0.503011474609375e3), SC_(-0.00070888293007864555913788791750119042130260317328753) }}, 
+      {{ SC_(0.2e1), SC_(0.10074598388671875e4), SC_(-0.00082843368570387450128677090306415548913704194916207) }}, 
+      {{ SC_(0.2e1), SC_(0.1185395751953125e4), SC_(0.00071826155681922902688738021549159055926818593480833) }}, 
+      {{ SC_(0.4e1), SC_(0.177219114266335964202880859375e-2), SC_(16947123409621148414.396327196120566029578437392813) }}, 
+      {{ SC_(0.4e1), SC_(0.22177286446094512939453125e-2), SC_(4412746298117679912.5476436086536482775964646698861) }}, 
+      {{ SC_(0.4e1), SC_(0.7444499991834163665771484375e-2), SC_(3084232663701475.0519943611860465528405551386978695) }}, 
+      {{ SC_(0.4e1), SC_(0.1433600485324859619140625e-1), SC_(60477564405179.92170204301713541728614145137832873) }}, 
+      {{ SC_(0.4e1), SC_(0.1760916970670223236083984375e-1), SC_(17608882728707.981141578534325134913615099863601217) }}, 
+      {{ SC_(0.4e1), SC_(0.6152711808681488037109375e-1), SC_(9678996255.1839771441306321620856494913675484946763) }}, 
+      {{ SC_(0.4e1), SC_(0.11958599090576171875e0), SC_(179615421.48501730340443167583969039181659482187014) }}, 
+      {{ SC_(0.4e1), SC_(0.15262925624847412109375e0), SC_(41568669.223882664831565782529582977445018981874865) }}, 
+      {{ SC_(0.4e1), SC_(0.408089816570281982421875e0), SC_(114477.96557716961680908792136752397886415952361251) }}, 
+      {{ SC_(0.4e1), SC_(0.6540834903717041015625e0), SC_(6828.184335714898569600465623663987348840443359789) }}, 
+      {{ SC_(0.4e1), SC_(0.1097540378570556640625e1), SC_(316.14485727885901077459451396302676190870103568588) }}, 
+      {{ SC_(0.4e1), SC_(0.30944411754608154296875e1), SC_(0.86884700805175975591584736561398300081460003884222) }}, 
+      {{ SC_(0.4e1), SC_(0.51139926910400390625e1), SC_(0.16791724343614794946391017435502169272831744332145) }}, 
+      {{ SC_(0.4e1), SC_(0.95070552825927734375e1), SC_(-0.095704132354117951696884047015921179063199913694684) }}, 
+      {{ SC_(0.4e1), SC_(0.24750102996826171875e2), SC_(0.0025614398654636627528799275032206175552292334487349) }}, 
+      {{ SC_(0.4e1), SC_(0.637722015380859375e2), SC_(0.014050277189012237700726804609758330581443280035659) }}, 
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+      {{ SC_(0.37e2), SC_(0.637722015380859375e2), SC_(-0.01375760705330807345614565402717351018943495443364) }}, 
+      {{ SC_(0.37e2), SC_(0.1252804412841796875e3), SC_(-0.0041905499044392954566391608456503090018828563845449) }}, 
+      {{ SC_(0.37e2), SC_(0.25554705810546875e3), SC_(-0.0029858319282128829161898140770519378104557139633838) }}, 
+      {{ SC_(0.37e2), SC_(0.503011474609375e3), SC_(0.00036729094524412051401273989003740717062980060688245) }}, 
+      {{ SC_(0.37e2), SC_(0.10074598388671875e4), SC_(0.0009500972788255472138682524359586249966818084124897) }}, 
+      {{ SC_(0.37e2), SC_(0.1185395751953125e4), SC_(-3.2437022159506601767869761333307203620580135563454e-05) }}, 
+      {{ SC_(0.4e2), SC_(0.95070552825927734375e1), SC_(47268796561654091913.21885247386040117659682095943) }}, 
+      {{ SC_(0.4e2), SC_(0.24750102996826171875e2), SC_(4606.7040142147850792803020694047494400748211653216) }}, 
+      {{ SC_(0.4e2), SC_(0.637722015380859375e2), SC_(0.013562004570933124279517274139642462528686206440721) }}, 
+      {{ SC_(0.4e2), SC_(0.1252804412841796875e3), SC_(-0.00041588274991310711126081297665967636013857745446983) }}, 
+      {{ SC_(0.4e2), SC_(0.25554705810546875e3), SC_(0.0035586883403878123477844058879369697437673947133221) }}, 
+      {{ SC_(0.4e2), SC_(0.503011474609375e3), SC_(0.0018131766439672851611563109699327051006611199062371) }}, 
+      {{ SC_(0.4e2), SC_(0.10074598388671875e4), SC_(0.00017408878243352074794695364554566820276448376006598) }}, 
+      {{ SC_(0.4e2), SC_(0.1185395751953125e4), SC_(-0.00083543030218971769025179620317949596324571402640036) }}, 
+      {{ SC_(0.43e2), SC_(0.95070552825927734375e1), SC_(32500360104264727046308.146495002237236714938536775) }}, 
+      {{ SC_(0.43e2), SC_(0.24750102996826171875e2), SC_(140319.86563844375643251793350654568289049492610375) }}, 
+      {{ SC_(0.43e2), SC_(0.637722015380859375e2), SC_(-0.0096267376340265225211094817925940133954153703370664) }}, 
+      {{ SC_(0.43e2), SC_(0.1252804412841796875e3), SC_(0.0043560140881858073888809144573238039949661594523397) }}, 
+      {{ SC_(0.43e2), SC_(0.25554705810546875e3), SC_(-0.00031253687873517078281423720249041760336117120554213) }}, 
+      {{ SC_(0.43e2), SC_(0.503011474609375e3), SC_(-0.0012317584023837640987228434293712078936100004695316) }}, 
+      {{ SC_(0.43e2), SC_(0.10074598388671875e4), SC_(-0.00099082942818446734158567078312933705353358708741562) }}, 
+      {{ SC_(0.43e2), SC_(0.1185395751953125e4), SC_(0.00020332834519802191669450520654038153178180499044216) }}, 
+      {{ SC_(0.46e2), SC_(0.95070552825927734375e1), SC_(27556304081722380191469757.839963090281115024955617) }}, 
+      {{ SC_(0.46e2), SC_(0.24750102996826171875e2), SC_(5460360.0519125590046811338199739390242963769551275) }}, 
+      {{ SC_(0.46e2), SC_(0.637722015380859375e2), SC_(0.00021996313581805877547109053676243264229609448401546) }}, 
+      {{ SC_(0.46e2), SC_(0.1252804412841796875e3), SC_(-0.0067365807847722924728078569602308485680548138850523) }}, 
+      {{ SC_(0.46e2), SC_(0.25554705810546875e3), SC_(-0.0031769931861025285948261739916321991464748792623825) }}, 
+      {{ SC_(0.46e2), SC_(0.503011474609375e3), SC_(-0.0011724931458855457146611059405688017528264086757474) }}, 
+      {{ SC_(0.46e2), SC_(0.10074598388671875e4), SC_(8.2027027876290107562817318212946635139688618895064e-05) }}, 
+      {{ SC_(0.46e2), SC_(0.1185395751953125e4), SC_(0.00078998332674918935235701582203886128179169986861445) }}, 
+      {{ SC_(0.49e2), SC_(0.95070552825927734375e1), SC_(28412334702306431778126338444.792912175084092172461) }}, 
+      {{ SC_(0.49e2), SC_(0.24750102996826171875e2), SC_(265743930.09679637876869531571415436007800862296168) }}, 
+      {{ SC_(0.49e2), SC_(0.637722015380859375e2), SC_(0.010319339492941490779460494055534452117308684781928) }}, 
+      {{ SC_(0.49e2), SC_(0.1252804412841796875e3), SC_(0.0076023313546937034353429580343679917714310757786706) }}, 
+      {{ SC_(0.49e2), SC_(0.25554705810546875e3), SC_(0.0035815143137077770928448016540062474995877646721405) }}, 
+      {{ SC_(0.49e2), SC_(0.503011474609375e3), SC_(0.001865913325873840877319056345281514118241157845756) }}, 
+      {{ SC_(0.49e2), SC_(0.10074598388671875e4), SC_(0.00096682247432286716385438217247828581211359653422397) }}, 
+      {{ SC_(0.49e2), SC_(0.1185395751953125e4), SC_(-0.000388586899659198186891519102479531432041130568781) }}, 
+      {{ SC_(0.52e2), SC_(0.24750102996826171875e2), SC_(15893157275.122226566220557959269076490453909124079) }}, 
+      {{ SC_(0.52e2), SC_(0.637722015380859375e2), SC_(-0.0096302473159184929027710000066333144170253616671895) }}, 
+      {{ SC_(0.52e2), SC_(0.1252804412841796875e3), SC_(-0.0074545924357825301642459217582531271544134872343904) }}, 
+      {{ SC_(0.52e2), SC_(0.25554705810546875e3), SC_(-0.00080879003330325323340905178789863734480124495245469) }}, 
+      {{ SC_(0.52e2), SC_(0.503011474609375e3), SC_(8.1151143271151726667386346137720286207720626052118e-05) }}, 
+      {{ SC_(0.52e2), SC_(0.10074598388671875e4), SC_(-0.00036580236943768612394106051133591541539471447114889) }}, 
+      {{ SC_(0.52e2), SC_(0.1185395751953125e4), SC_(-0.00069206098677479164879794530096208787047403308451152) }}, 
+      {{ SC_(0.55e2), SC_(0.24750102996826171875e2), SC_(1150881378498.7240629877032734540893043377259132461) }}, 
+      {{ SC_(0.55e2), SC_(0.637722015380859375e2), SC_(-0.0055659330225608348472348293061912067012265452045085) }}, 
+      {{ SC_(0.55e2), SC_(0.1252804412841796875e3), SC_(0.0068584055909589623364730635647768170037383432049856) }}, 
+      {{ SC_(0.55e2), SC_(0.25554705810546875e3), SC_(-0.0025538479374245016450395329559033991854018544546084) }}, 
+      {{ SC_(0.55e2), SC_(0.503011474609375e3), SC_(-0.0019038095539531314565983259165272087953657428209132) }}, 
+      {{ SC_(0.55e2), SC_(0.10074598388671875e4), SC_(-0.00085143692817422231458849750249354253316300952418448) }}, 
+      {{ SC_(0.55e2), SC_(0.1185395751953125e4), SC_(0.00057146982680160633443321926900816730867828953472445) }}, 
+      {{ SC_(0.58e2), SC_(0.24750102996826171875e2), SC_(99637458504766.599402951818228283069038577281703857) }}, 
+      {{ SC_(0.58e2), SC_(0.637722015380859375e2), SC_(0.0074840655605533504647638493963517423653208741540798) }}, 
+      {{ SC_(0.58e2), SC_(0.1252804412841796875e3), SC_(-0.0062490466609213366120682904454197041049780262693866) }}, 
+      {{ SC_(0.58e2), SC_(0.25554705810546875e3), SC_(0.0038566950072613874190636282359231797446877949977414) }}, 
+      {{ SC_(0.58e2), SC_(0.503011474609375e3), SC_(0.0011551017762500538777915940155070123096067942509318) }}, 
+      {{ SC_(0.58e2), SC_(0.10074598388671875e4), SC_(0.00064525769298951483096139687718953092418554627173474) }}, 
+      {{ SC_(0.58e2), SC_(0.1185395751953125e4), SC_(0.00053126211182582456060109092817573149262252147893062) }}, 
+      {{ SC_(0.61e2), SC_(0.24750102996826171875e2), SC_(10200415357676638.644750361795135145594072603652636) }}, 
+      {{ SC_(0.61e2), SC_(0.637722015380859375e2), SC_(0.0086628300233647818111928402843048524079382068716092) }}, 
+      {{ SC_(0.61e2), SC_(0.1252804412841796875e3), SC_(0.0058886800403071930616493809170602939043259848676386) }}, 
+      {{ SC_(0.61e2), SC_(0.25554705810546875e3), SC_(-0.0023768899546913911289426595387509086740790442673056) }}, 
+      {{ SC_(0.61e2), SC_(0.503011474609375e3), SC_(0.0011013576751210479703859408863272805380257648486171) }}, 
+      {{ SC_(0.61e2), SC_(0.10074598388671875e4), SC_(0.00062634433378004345030784518155685543112952577014323) }}, 
+      {{ SC_(0.61e2), SC_(0.1185395751953125e4), SC_(-0.0007274509061559619351949711918452106349817721397035) }},
+   }};
+
+
+
diff --git a/src/boost/libs/math/test/spherical_harmonic.ipp b/src/boost/libs/math/test/spherical_harmonic.ipp
new file mode 100644
index 000000000..def643660
--- /dev/null
+++ b/src/boost/libs/math/test/spherical_harmonic.ipp
@@ -0,0 +1,1010 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+   static const boost::array<boost::array<typename table_type<T>::type, 6>, 1000> spherical_harmonic = {{
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.6223074436187744140625e1), SC_(-0.983176708221435546875e0), SC_(0.62736841735769885881246893757736785347239567286304e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.5057456493377685546875e1), SC_(0.59339153766632080078125e0), SC_(-0.20713028443163886820218719974386053923059852163073e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.4687422275543212890625e1), SC_(0.5891966342926025390625e1), SC_(-0.31480190270523966739513025513763623833894947272512e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.28032686710357666015625e1), SC_(0.46800785064697265625e1), SC_(0.52655067270403872306721376357891919506022788695237e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(-0.1743031024932861328125e1), SC_(0.4387288570404052734375e1), SC_(-0.28759993950019252230305986773209798109581312882458e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.30552928447723388671875e1), SC_(-0.317191779613494873046875e0), SC_(0.62375382255600227118437993629928966318732328906381e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.3735729694366455078125e1), SC_(-0.5883162021636962890625e1), SC_(0.33428112636668248892477814957401134243912590455598e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.37734358310699462890625e1), SC_(-0.25506031513214111328125e1), SC_(0.30071249849279422035163175145138750883542632972971e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.0), SC_(0.54537200927734375e1), SC_(0.2279031276702880859375e1), SC_(0.1160546117367807407152783138997786541874144507988e0), SC_(0.0) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(-0.458073139190673828125e1), SC_(0.509933185577392578125e1), SC_(0.37939894994349071850195546472417494785116097463318e-1), SC_(-0.93107300900343613424961589916279630747721170081866e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(-0.97907507419586181640625e0), SC_(0.195379292964935302734375e1), SC_(-0.13365658387823648349917293511332555081805906708217e0), SC_(0.33174333022099396014687314581478847312444020861066e0) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(0.475549983978271484375e1), SC_(0.5774152278900146484375e1), SC_(0.29046640079014036022889946316442406419301954589267e-1), SC_(-0.16210635922809696460530259867846941769692426758954e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(0.52242870330810546875e1), SC_(0.175631821155548095703125e1), SC_(-0.60855473088463839496314678179027675166851871018551e-1), SC_(0.32425114600308867975046215949339819893698567878093e0) }}, 
+      {{ SC_(0.2e1), SC_(0.1e1), SC_(0.5877228260040283203125e1), SC_(-0.4302561283111572265625e1), SC_(-0.11167901750699566664933060087163004380052822920546e0), SC_(0.25707237315223816631488907449414263457063550537321e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.4902621746063232421875e1), SC_(-0.18377502262592315673828125e0), SC_(0.34758668332269754124667464441534904092678544008633e0), SC_(-0.13383731780379523410231053175504807605617305066684e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.4131989955902099609375e1), SC_(-0.24892330169677734375e1), SC_(0.71028469303627438443505218504789723476775735703371e-1), SC_(0.26061737572960702576362821401262553454136075924086e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.39159076213836669921875e1), SC_(0.589130580425262451171875e0), SC_(0.72243575677708396654934991200786489958595832424973e-1), SC_(0.17449231348731311339771539907208960289022209309613e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.35055897235870361328125e1), SC_(0.16632754802703857421875e1), SC_(-0.48123182288009319551515814304893416646752842717278e-1), SC_(-0.90036880226735999457627735549531053450913137683366e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(-0.12724893093109130859375e1), SC_(0.32388579845428466796875e1), SC_(0.34625198570942398650986171441955620010816501680557e0), SC_(0.6821932943579386165556674909693473588513398324536e-1) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(0.19570953845977783203125e1), SC_(0.37438814640045166015625e1), SC_(0.11868540133295449383018733211573720238248966454746e0), SC_(0.30946390521414868955137848944282844227519588015905e0) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(0.5749200344085693359375e1), SC_(0.623871707916259765625e1), SC_(0.9966808034179761849929083987599231751430505405574e-1), SC_(-0.88875708639419834563244802526935291667296729862762e-2) }}, 
+      {{ SC_(0.2e1), SC_(0.2e1), SC_(0.5913643360137939453125e1), SC_(0.6045803070068359375e1), SC_(0.44818825447699183791615026234271299189304152367279e-1), SC_(-0.23035725896903097839072699428746139571750062847173e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(-0.440936374664306640625e1), SC_(-0.5062591552734375e1), SC_(0.2844959862964824854388237165468357597848603400639e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(-0.3934875011444091796875e1), SC_(-0.11469180583953857421875e1), SC_(0.14121291094740439000611232468259189623852053498783e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(-0.552507817745208740234375e0), SC_(-0.2055795304477214813232421875e-1), SC_(0.19783391750498753000939983604310666040001705067569e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.0), SC_(0.2055927753448486328125e1), SC_(-0.76976108551025390625e0), SC_(0.33285173555020716750381297236585266229434503862998e0), SC_(0.0) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.6247767925262451171875e1), SC_(0.194901907444000244140625e1), SC_(0.16876892664773021474708993031012643521641026445293e-1), SC_(-0.42473255665367397599231902837920937763489895056333e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.47100925445556640625e1), SC_(-0.22983958721160888671875e1), SC_(-0.21493410580929797924752259751422347054230070438068e0), SC_(-0.24133524984657105208106822870162658732975114112697e0) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.423974609375e1), SC_(0.18090667724609375e1), SC_(0.2460020537420461905141929611988448892491267501235e-2), SC_(-0.10128361841653616652755617311405848132460463121178e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(-0.148838031291961669921875e1), SC_(-0.3641620159149169921875e1), SC_(0.27307271430136733126056860410690628785894268952483e0), SC_(-0.14919005653183612118737489713533290688614488819696e0) }}, 
+      {{ SC_(0.3e1), SC_(0.1e1), SC_(0.528886890411376953125e1), SC_(0.32004873752593994140625e1), SC_(-0.13132892216208786526729131339765405257419451394884e0), SC_(-0.77435354342006197456232571693201218623653117535312e-2) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(-0.563958072662353515625e1), SC_(0.3709591388702392578125e1), SC_(0.12400538306523070140083527916246828402942458169912e0), SC_(0.26699858682144904684388476504336635512136556796993e0) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(-0.28145520687103271484375e1), SC_(0.25858356952667236328125e1), SC_(-0.4427518193860363815453664754812317897095435941741e-1), SC_(0.89525230913027456917186909094786496675085768579997e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(0.5657657146453857421875e1), SC_(-0.11826162040233612060546875e0), SC_(0.27612706743908622809999597264410624935441554778235e0), SC_(-0.66556246601320034007511476245916059803884974109287e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.2e1), SC_(0.5777313232421875e1), SC_(0.92682850360870361328125e0), SC_(-0.58588098669530777703405917826904778693250781231732e-1), SC_(0.20157326960446402040769133558058970326764280176092e0) }}, 
+      {{ SC_(0.3e1), SC_(0.3e1), SC_(-0.527923882007598876953125e0), SC_(-0.683784008026123046875e0), SC_(-0.24654062825223548093087660191000851588872270901477e-1), SC_(-0.47291850857448633744932273700908288294545006619689e-1) }}, 
+      {{ SC_(0.3e1), SC_(0.3e1), SC_(0.1838623523712158203125e1), SC_(0.36941986083984375e1), SC_(-0.3251989759113359602179775532073865855506456807785e-1), SC_(0.37275562661891880526110138370423344373839148188933e0) }}, 
+      {{ SC_(0.3e1), SC_(0.3e1), SC_(0.4064691066741943359375e1), SC_(0.4045156002044677734375e1), SC_(0.19225943415968710973448026931813683101145483967527e0), SC_(-0.88384340622034426527979275575844466979738642942222e-1) }}, 
+      {{ SC_(0.4e1), SC_(0.0), SC_(-0.440710163116455078125e1), SC_(-0.33909590244293212890625e1), SC_(0.60872192197795412389189648659338955746589054925866e-1), SC_(0.0) }}, 
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+      {{ SC_(0.47e2), SC_(0.11e2), SC_(0.7798192501068115234375e0), SC_(-0.7041451930999755859375e0), SC_(-0.56653310111911531477233240689992111230625108233036e-2), SC_(0.52065832061739333971520273981969883254825594657534e-1) }}, 
+      {{ SC_(0.47e2), SC_(0.12e2), SC_(0.4662929534912109375e1), SC_(-0.9241869449615478515625e0), SC_(0.23362894693871191987918828430964470190930593496574e-1), SC_(0.24604723434869110858598425017491701426924638144305e0) }}, 
+      {{ SC_(0.47e2), SC_(0.12e2), SC_(0.559471797943115234375e1), SC_(0.2798630237579345703125e1), SC_(0.17033489008554011818661187796298714500018186073295e0), SC_(-0.250673941390055873246229086782342877123592075417e0) }}, 
+      {{ SC_(0.47e2), SC_(0.16e2), SC_(0.2135078907012939453125e0), SC_(0.17677328586578369140625e1), SC_(-0.40270055436638473531410355130447754148130521624792e-2), SC_(-0.37822169118264880418889481540869124483351373905041e-4) }}, 
+      {{ SC_(0.47e2), SC_(0.2e2), SC_(-0.195895731449127197265625e1), SC_(-0.579391777515411376953125e0), SC_(-0.15577860999005695928154075733762613389761234158943e0), SC_(-0.23152551164929220445481581901016524977854444194532e0) }}, 
+      {{ SC_(0.47e2), SC_(0.21e2), SC_(0.4007311165332794189453125e0), SC_(0.47393741607666015625e1), SC_(-0.70272896583053034791238962988375990671208121812288e-1), SC_(0.11043869498561021486738079932321951805943232163813e0) }}, 
+      {{ SC_(0.47e2), SC_(0.22e2), SC_(-0.24021832942962646484375e1), SC_(-0.17589018344879150390625e1), SC_(-0.22524795870491574224537613981959148215876594881665e0), SC_(0.34829144959822154881414680836189838260621088876932e0) }}, 
+      {{ SC_(0.47e2), SC_(0.23e2), SC_(-0.6144268035888671875e1), SC_(-0.19239718914031982421875e1), SC_(-0.21428418065072641195187189772881405126431473733192e-10), SC_(0.59087250125232030799036036471778804738471950937741e-11) }}, 
+      {{ SC_(0.47e2), SC_(0.24e2), SC_(-0.90589809417724609375e0), SC_(-0.69550454616546630859375e0), SC_(0.21621145388913791954852453820974859105758383446149e0), SC_(-0.325269227515941384150753099077386791354732112632e0) }}, 
+      {{ SC_(0.47e2), SC_(0.28e2), SC_(-0.4909250736236572265625e1), SC_(-0.34989111423492431640625e1), SC_(0.2849042481648421063594526222235567477585168996532e0), SC_(-0.18671717508379687462424778809383789120058232562727e0) }}, 
+      {{ SC_(0.47e2), SC_(0.31e2), SC_(0.731376349925994873046875e0), SC_(0.25832922458648681640625e1), SC_(0.14558311977380004242663313719763696307600681918104e-1), SC_(0.50973041759102896592485887663785873189653213696073e0) }}, 
+      {{ SC_(0.47e2), SC_(0.31e2), SC_(0.4225698947906494140625e1), SC_(0.448341846466064453125e1), SC_(-0.10048142070645931863483498239705078295501286342258e0), SC_(-0.94720792669270806839081551900740318275224474965324e-1) }}, 
+      {{ SC_(0.47e2), SC_(0.33e2), SC_(-0.23726341724395751953125e1), SC_(0.346272182464599609375e1), SC_(0.15886769869597684035077430317752989569837414157117e0), SC_(0.37753328887917336010699798430583391320850404839209e0) }}, 
+      {{ SC_(0.47e2), SC_(0.36e2), SC_(0.345058917999267578125e1), SC_(0.24347667694091796875e1), SC_(-0.42764431337120844123235375883123149895117279758459e-12), SC_(0.13839773517362302854143994286869291829733243112091e-12) }}, 
+      {{ SC_(0.47e2), SC_(0.37e2), SC_(0.2493927001953125e1), SC_(-0.4316608428955078125e1), SC_(0.66667168495166953309758312008417545833856092128204e-3), SC_(0.37003730562098288570362491190035224799197658320599e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.2e1), SC_(-0.2035869121551513671875e1), SC_(-0.6225636005401611328125e1), SC_(0.28606894490141744647813319476199313844842342813869e0), SC_(0.33072309108214894083517702632450561761016797624373e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.5e1), SC_(0.13228361606597900390625e1), SC_(0.14751684665679931640625e1), SC_(-0.84852408402337008554120048209601235452611537689521e-1), SC_(-0.16372931389555959806105883386148626432700901477429e0) }}, 
+      {{ SC_(0.48e2), SC_(0.8e1), SC_(-0.61489925384521484375e1), SC_(-0.557976818084716796875e1), SC_(0.19079773202103238064509095581513541982710490971462e0), SC_(-0.14681385693827482231520169778980942919825638751309e0) }}, 
+      {{ SC_(0.48e2), SC_(0.9e1), SC_(0.1855456829071044921875e1), SC_(-0.34094126224517822265625e1), SC_(-0.20465278494968209294999961968701797552184796734969e0), SC_(-0.18359488295947017699172291314906035468217255253267e0) }}, 
+      {{ SC_(0.48e2), SC_(0.11e2), SC_(-0.510445415973663330078125e0), SC_(-0.2179370403289794921875e1), SC_(-0.17415801107756946800231879780099729296579201750249e0), SC_(-0.39946809289135814220017962080684064709296251216702e0) }}, 
+      {{ SC_(0.48e2), SC_(0.12e2), SC_(0.5127735137939453125e1), SC_(0.147180497646331787109375e1), SC_(0.10235270561549462717073795224019921669009190057754e0), SC_(-0.25411603142079242733272237982972076450193559196436e0) }}, 
+      {{ SC_(0.48e2), SC_(0.13e2), SC_(-0.28512251377105712890625e1), SC_(0.21358762681484222412109375e0), SC_(0.65082793160341590914926316444150324051891586307335e0), SC_(-0.24866103078135174972315060854694095694134464474465e0) }}, 
+      {{ SC_(0.48e2), SC_(0.15e2), SC_(0.21509382724761962890625e1), SC_(0.505238056182861328125e1), SC_(0.33153682677233458889683871883764794291900552041288e0), SC_(0.13530604504841517586204066208483785803300406806222e0) }}, 
+      {{ SC_(0.48e2), SC_(0.17e2), SC_(-0.410233306884765625e1), SC_(-0.5055477142333984375e1), SC_(0.120658610881024129421142111496549042350283006718e0), SC_(-0.24934508488272542971829338925578466799768762724609e0) }}, 
+      {{ SC_(0.48e2), SC_(0.18e2), SC_(0.419954395294189453125e1), SC_(-0.31286038458347320556640625e-1), SC_(0.18229465107186350461724966401750299694404393980909e0), SC_(-0.11509073643647539446369783158526832981463008146529e0) }}, 
+      {{ SC_(0.48e2), SC_(0.19e2), SC_(0.33512248992919921875e1), SC_(0.5698537349700927734375e1), SC_(-0.11430916047691646574027070138178816779368218597795e-4), SC_(-0.10096469757450613482659522651534357791031593710281e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.2e2), SC_(-0.4913626194000244140625e1), SC_(0.4570525646209716796875e1), SC_(0.27544694591170425084361640327912372332575356920479e0), SC_(0.86513078636045023383894712247218808351168016037179e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.22e2), SC_(-0.35437946319580078125e1), SC_(-0.14283583164215087890625e1), SC_(0.92521800679569304410458632278427028786030152854651e-1), SC_(-0.73615833685271087989994719034708442687869544183798e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.24e2), SC_(0.2529537379741668701171875e0), SC_(-0.13951661586761474609375e1), SC_(-0.14461558442027612635993431382924805648986580565293e-5), SC_(-0.26644654773805667856532999455349036511597661939098e-5) }}, 
+      {{ SC_(0.48e2), SC_(0.25e2), SC_(-0.5302140712738037109375e1), SC_(0.534227657318115234375e1), SC_(0.14567724220048959327288429307006198049897616049705e-1), SC_(-0.37118356905088388538181275498694280409563892893147e0) }}, 
+      {{ SC_(0.48e2), SC_(0.26e2), SC_(0.4788922786712646484375e1), SC_(0.114234256744384765625e1), SC_(-0.49889909138094330244956751684356082959364552066594e-1), SC_(-0.34351914682484557095802003482605269948574737582585e0) }}, 
+      {{ SC_(0.48e2), SC_(0.29e2), SC_(-0.155845987796783447265625e1), SC_(0.265560741536319255828857421875e-2), SC_(-0.16358032708366624805995699759082827770270765931603e0), SC_(-0.12622713495579813089501286854682899269376306838204e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.31e2), SC_(-0.814608156681060791015625e0), SC_(-0.5973989009857177734375e1), SC_(-0.21849236027340450931517916914197181334381665924407e0), SC_(-0.35329064201860941281957627439495576583081752554927e-1) }}, 
+      {{ SC_(0.48e2), SC_(0.34e2), SC_(0.5690162181854248046875e1), SC_(-0.4747711181640625e1), SC_(-0.14208000946756588475345650324158728024525891044283e-2), SC_(0.36648708355068107608507564157213823609107549413423e-2) }}, 
+      {{ SC_(0.48e2), SC_(0.36e2), SC_(-0.606925201416015625e1), SC_(-0.6036619663238525390625e1), SC_(-0.33060032760649252071566767946067882261145163749527e-17), SC_(0.20197241068338690816933400483260997588417796049136e-17) }}, 
+      {{ SC_(0.48e2), SC_(0.36e2), SC_(-0.557515811920166015625e1), SC_(0.549843120574951171875e1), SC_(-0.29793042772484214996215596790395794084288963000676e-1), SC_(-0.69091218291545995969013380580434842461096487036142e-3) }}, 
+      {{ SC_(0.48e2), SC_(0.37e2), SC_(-0.4484233856201171875e1), SC_(-0.586126422882080078125e1), SC_(0.28783210566723256763209668589242474045102053584988e0), SC_(-0.27973722891666817142600363847230369142196912070032e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.4e1), SC_(0.7450397014617919921875e0), SC_(-0.486802196502685546875e1), SC_(0.43523446367954232471457024383074543728337571811041e-1), SC_(-0.31238445205075929681258187766528850038918026320874e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.5e1), SC_(-0.705654084682464599609375e0), SC_(0.36159880161285400390625e1), SC_(0.33812266273696200694321547558772118159278050274115e-1), SC_(-0.32761490529250158683739840580938438700363222937706e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.6e1), SC_(0.4099590480327606201171875e0), SC_(-0.148899996280670166015625e1), SC_(0.33872549952379279074817297974186583810635403131808e-1), SC_(0.18101089014763158990806574103071386037200021990488e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.6e1), SC_(0.288681316375732421875e1), SC_(0.555331707000732421875e1), SC_(-0.17299631476757984574148560709032937173460259126009e0), SC_(0.49987182677495761333169759620280021625021164232635e0) }}, 
+      {{ SC_(0.49e2), SC_(0.8e1), SC_(-0.28113791942596435546875e1), SC_(0.4268764019012451171875e1), SC_(0.11234284818582161154493446715155148494092582868555e0), SC_(-0.4848176775276798667653033304055062110686751478506e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.8e1), SC_(-0.175365102291107177734375e1), SC_(0.3699061870574951171875e0), SC_(0.150510223757467945212888241106383078890968767236e0), SC_(-0.27752777621993241253038961455135547546359775538701e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.1e2), SC_(-0.623242966830730438232421875e-1), SC_(0.99178183078765869140625e0), SC_(-0.39129153600073467169496931061202903620397035718226e-4), SC_(-0.21024087848986552498673205313374207046750995885514e-4) }}, 
+      {{ SC_(0.49e2), SC_(0.11e2), SC_(0.4610438823699951171875e1), SC_(0.516170978546142578125e1), SC_(-0.64931321841066713098308595750847102912382779925862e-1), SC_(-0.15212818549984179656962126137889372220056261241257e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.12e2), SC_(-0.492767429351806640625e1), SC_(0.5237930774688720703125e1), SC_(-0.25815646423352702571250699074506009315207777917256e0), SC_(-0.60203250835447592212607712693653576640800332594405e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.12e2), SC_(-0.285912036895751953125e1), SC_(0.203067779541015625e1), SC_(-0.58309335353629437699137207747030784181611219363777e0), SC_(0.55933823022969032857356665544019317581369057604275e0) }}, 
+      {{ SC_(0.49e2), SC_(0.21e2), SC_(0.213364541530609130859375e0), SC_(0.3487752437591552734375e1), SC_(0.68979677728313700400977850242007578301598557836144e-5), SC_(0.10423031489346059064213401632074682208378658096143e-4) }}, 
+      {{ SC_(0.49e2), SC_(0.24e2), SC_(-0.5363933563232421875e1), SC_(-0.13800899982452392578125e1), SC_(-0.39624366668844441499649851882221871259293339848909e-1), SC_(-0.29077551093957529339300484162110207541478366743715e0) }}, 
+      {{ SC_(0.49e2), SC_(0.24e2), SC_(0.113704526424407958984375e1), SC_(-0.524048984050750732421875e0), SC_(-0.95716020864868532424772271176706645369949424860348e-1), SC_(0.10342521283811512447413822494381438186657088095508e-2) }}, 
+      {{ SC_(0.49e2), SC_(0.26e2), SC_(0.195927083492279052734375e1), SC_(0.2748439788818359375e1), SC_(0.11971762382480258608379673285431990043583083168738e0), SC_(-0.12257642890929780276867696344794516000179864725662e0) }}, 
+      {{ SC_(0.49e2), SC_(0.27e2), SC_(0.49123775959014892578125e0), SC_(0.2262770175933837890625e1), SC_(0.10204568382238142188564702604070162264838835105016e-1), SC_(0.60809845254720905762068213640063158711493179195797e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.28e2), SC_(-0.26242389678955078125e1), SC_(0.551108074188232421875e1), SC_(0.62995535686340908516656601005584507927420828344839e-1), SC_(0.24594729609877561046325340633244478848156201312828e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.29e2), SC_(-0.30029771327972412109375e1), SC_(-0.2872400760650634765625e1), SC_(-0.55339515369306716058956107221780747493058274670244e-17), SC_(-0.11662133768710831442193525927180620131415498665886e-15) }}, 
+      {{ SC_(0.49e2), SC_(0.3e2), SC_(0.611942386627197265625e1), SC_(-0.63407027721405029296875e0), SC_(0.1394293153272931999882487586325865494180618327615e-14), SC_(-0.24300519585643234499387785103683410462334687962488e-15) }}, 
+      {{ SC_(0.49e2), SC_(0.35e2), SC_(-0.166894090175628662109375e1), SC_(0.4225218296051025390625e1), SC_(-0.35508021992434406559798366674327649256336649541254e0), SC_(-0.82310724679645695220583934477252032989621192496738e-1) }}, 
+      {{ SC_(0.49e2), SC_(0.36e2), SC_(-0.32497041225433349609375e1), SC_(0.107579600811004638671875e1), SC_(-0.17013596752796213880005913256594710378533147240406e-27), SC_(-0.28302568795764666512713804293802636201022080165826e-27) }}, 
+      {{ SC_(0.49e2), SC_(0.37e2), SC_(-0.5017117023468017578125e1), SC_(0.383155155181884765625e1), SC_(-0.35232624098397971030888657233932783396857095781041e0), SC_(-0.14719428675619986819270542639579914303323853912089e0) }}, 
+      {{ SC_(0.49e2), SC_(0.37e2), SC_(-0.23628532886505126953125e1), SC_(-0.123920929431915283203125e1), SC_(-0.40342907812326051474768377766202705403179945762591e-1), SC_(-0.13151134923462644400467105161114547636592907143886e0) }}, 
+      {{ SC_(0.49e2), SC_(0.38e2), SC_(0.33035366535186767578125e1), SC_(0.2936229705810546875e1), SC_(-0.14617119042429598121920579635742118107020065282388e-24), SC_(0.29099331615315387488356539500057397404411535737234e-23) }}, 
+      {{ SC_(0.49e2), SC_(0.4e2), SC_(0.4189170360565185546875e1), SC_(-0.5219272136688232421875e1), SC_(-0.71881448396381481201576224141351106542999167239121e-1), SC_(0.49216549050921898631651418491099543778321238775524e0) }}
+   }};
+#undef SC_
+
diff --git a/src/boost/libs/math/test/std_real_concept_check.cpp b/src/boost/libs/math/test/std_real_concept_check.cpp
new file mode 100644
index 000000000..1554734ee
--- /dev/null
+++ b/src/boost/libs/math/test/std_real_concept_check.cpp
@@ -0,0 +1,199 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#include <boost/math/concepts/std_real_concept.hpp>
+#include <boost/math/concepts/distributions.hpp>
+
+#include "compile_test/instantiate.hpp"
+
+//
+// The purpose of this test is to verify that our code compiles
+// cleanly with a type whose std lib functions are in namespace
+// std and can *not* be found by ADL.  This verifies that we're
+// not finding std lib functions that are in the global namespace
+// for example calling ::pow(double) rather than std::pow(long double).
+// This is a silent error that does the wrong thing at runtime, and
+// of course we can't call std::pow() directly because we want
+// the functions to be found by ADL when that's appropriate.
+//
+// Furthermore our code does different things internally depending
+// on numeric_limits<>::digits, so there are some macros that can
+// be defined that cause our concept-archetype to emulate various
+// floating point types:
+//
+// EMULATE32: 32-bit float
+// EMULATE64: 64-bit double
+// EMULATE80: 80-bit long double
+// EMULATE128: 128-bit long double
+//
+// In order to ensure total code coverage this file must be
+// compiled with each of the above macros in turn, and then 
+// without any of the above as well!
+//
+
+#define NULL_MACRO /**/
+#ifdef EMULATE32
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 24;
+   static const int digits10 = 6;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -125;
+   static const int min_exponent10 = -37;
+   static const int max_exponent = 128;
+   static const int max_exponent10 = 38;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE64
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 53;
+   static const int digits10 = 15;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -1021;
+   static const int min_exponent10 = -307;
+   static const int max_exponent = 1024;
+   static const int max_exponent10 = 308;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE80
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 64;
+   static const int digits10 = 18;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+#ifdef EMULATE128
+namespace std{
+template<>
+struct numeric_limits<boost::math::concepts::std_real_concept>
+{
+   static const bool is_specialized = true;
+   static boost::math::concepts::std_real_concept min NULL_MACRO() throw();
+   static boost::math::concepts::std_real_concept max NULL_MACRO() throw();
+   static const int digits = 113;
+   static const int digits10 = 33;
+   static const bool is_signed = true;
+   static const bool is_integer = false;
+   static const bool is_exact = false;
+   static const int radix = 2;
+   static boost::math::concepts::std_real_concept epsilon() throw();
+   static boost::math::concepts::std_real_concept round_error() throw();
+   static const int min_exponent = -16381;
+   static const int min_exponent10 = -4931;
+   static const int max_exponent = 16384;
+   static const int max_exponent10 = 4932;
+   static const bool has_infinity = true;
+   static const bool has_quiet_NaN = true;
+   static const bool has_signaling_NaN = true;
+   static const float_denorm_style has_denorm = denorm_absent;
+   static const bool has_denorm_loss = false;
+   static boost::math::concepts::std_real_concept infinity() throw();
+   static boost::math::concepts::std_real_concept quiet_NaN() throw();
+   static boost::math::concepts::std_real_concept signaling_NaN() throw();
+   static boost::math::concepts::std_real_concept denorm_min() throw();
+   static const bool is_iec559 = true;
+   static const bool is_bounded = false;
+   static const bool is_modulo = false;
+   static const bool traps = false;
+   static const bool tinyness_before = false;
+   static const float_round_style round_style = round_toward_zero;
+};
+}
+#endif
+
+
+
+int main()
+{
+   instantiate(boost::math::concepts::std_real_concept(0));
+}
+
+
diff --git a/src/boost/libs/math/test/table_type.hpp b/src/boost/libs/math/test/table_type.hpp
new file mode 100644
index 000000000..b8f16cfdf
--- /dev/null
+++ b/src/boost/libs/math/test/table_type.hpp
@@ -0,0 +1,29 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_TABLE_TYPE_HPP
+#define BOOST_MATH_TEST_TABLE_TYPE_HPP
+
+template <class T>
+struct table_type
+{
+   typedef T type;
+};
+
+namespace boost{ namespace math{ namespace concepts{
+
+   class real_concept;
+
+}}}
+
+template <>
+struct table_type<boost::math::concepts::real_concept>
+{
+   typedef long double type;
+};
+
+#endif
diff --git a/src/boost/libs/math/test/tanh_sinh_quadrature_test.cpp b/src/boost/libs/math/test/tanh_sinh_quadrature_test.cpp
new file mode 100644
index 000000000..6868ee933
--- /dev/null
+++ b/src/boost/libs/math/test/tanh_sinh_quadrature_test.cpp
@@ -0,0 +1,994 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE tanh_sinh_quadrature_test
+
+#include <boost/config.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_TRAILING_RESULT_TYPES) && !defined(BOOST_NO_SFINAE_EXPR)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/quadrature/tanh_sinh.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4127)  // Conditional expression is constant
+#endif
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4) && !defined(TEST5) && !defined(TEST6) && !defined(TEST7) && !defined(TEST8)\
+    && !defined(TEST1A) && !defined(TEST1B) && !defined(TEST2A) && !defined(TEST3A) && !defined(TEST6A) && !defined(TEST9)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#  define TEST4
+#  define TEST5
+#  define TEST6
+#  define TEST7
+#  define TEST8
+#  define TEST1A
+#  define TEST1B
+#  define TEST2A
+#  define TEST3A
+#  define TEST6A
+#  define TEST9
+#endif
+
+using std::expm1;
+using std::atan;
+using std::tan;
+using std::log;
+using std::log1p;
+using std::asinh;
+using std::atanh;
+using std::sqrt;
+using std::isnormal;
+using std::abs;
+using std::sinh;
+using std::tanh;
+using std::cosh;
+using std::pow;
+using std::exp;
+using std::sin;
+using std::cos;
+using std::string;
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::multiprecision::cpp_dec_float_50;
+using boost::multiprecision::cpp_dec_float_100;
+using boost::multiprecision::cpp_bin_float_quad;
+using boost::math::sinc_pi;
+using boost::math::quadrature::tanh_sinh;
+using boost::math::quadrature::detail::tanh_sinh_detail;
+using boost::math::constants::pi;
+using boost::math::constants::half_pi;
+using boost::math::constants::two_div_pi;
+using boost::math::constants::two_pi;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::half;
+using boost::math::constants::third;
+using boost::math::constants::catalan;
+using boost::math::constants::ln_two;
+using boost::math::constants::root_two;
+using boost::math::constants::root_two_pi;
+using boost::math::constants::root_pi;
+
+template <class T>
+void print_levels(const T& v, const char* suffix)
+{
+   std::cout << "{\n";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      std::cout << "      { ";
+      for (unsigned j = 0; j < v[i].size(); ++j)
+      {
+         std::cout << v[i][j] << suffix << ", ";
+      }
+      std::cout << "},\n";
+   }
+   std::cout << "   };\n";
+}
+
+template <class T>
+void print_complement_indexes(const T& v)
+{
+   std::cout << "\n   {";
+   for (unsigned i = 0; i < v.size(); ++i)
+   {
+      unsigned index = 0;
+      while (v[i][index] >= 0)
+         ++index;
+      std::cout << index << ", ";
+   }
+   std::cout << "};\n";
+}
+
+template <class T>
+void print_levels(const std::pair<T, T>& p, const char* suffix = "")
+{
+   std::cout << "   static const std::vector<std::vector<Real> > abscissa = ";
+   print_levels(p.first, suffix);
+   std::cout << "   static const std::vector<std::vector<Real> > weights = ";
+   print_levels(p.second, suffix);
+   std::cout << "   static const std::vector<unsigned > indexes = ";
+   print_complement_indexes(p.first);
+}
+
+template <class Real>
+std::pair<std::vector<std::vector<Real>>, std::vector<std::vector<Real>> > generate_constants(unsigned max_index, unsigned max_rows)
+{
+   using boost::math::constants::half_pi;
+   using boost::math::constants::two_div_pi;
+   using boost::math::constants::pi;
+   auto g = [](Real t) { return tanh(half_pi<Real>()*sinh(t)); };
+   auto w = [](Real t) { Real cs = cosh(half_pi<Real>() * sinh(t));  return half_pi<Real>() * cosh(t) / (cs * cs); };
+   auto gc = [](Real t) { Real u2 = half_pi<Real>() * sinh(t);  return 1 / (exp(u2) *cosh(u2)); };
+   auto g_inv = [](float x)->float { return asinh(two_div_pi<float>()*atanh(x)); };
+   auto gc_inv = [](float x)
+   {
+      float l = log(sqrt((2 - x) / x));
+      return log((sqrt(4 * l * l + pi<float>() * pi<float>()) + 2 * l) / pi<float>());
+   };
+
+   std::vector<std::vector<Real>> abscissa, weights;
+
+   std::vector<Real> temp;
+
+   float t_crossover = gc_inv(0.5f);
+
+   Real h = 1;
+   for (unsigned i = 0; i < max_index; ++i)
+   {
+      temp.push_back((i < t_crossover) ? g(i * h) : -gc(i * h));
+   }
+   abscissa.push_back(temp);
+   temp.clear();
+
+   for (unsigned i = 0; i < max_index; ++i)
+   {
+      temp.push_back(w(i * h));
+   }
+   weights.push_back(temp);
+   temp.clear();
+
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < max_index - 1; t += 2 * h)
+         temp.push_back((t < t_crossover) ? g(t) : -gc(t));
+      abscissa.push_back(temp);
+      temp.clear();
+   }
+   h = 1;
+   for (unsigned row = 1; row < max_rows; ++row)
+   {
+      h /= 2;
+      for (Real t = h; t < max_index - 1; t += 2 * h)
+         temp.push_back(w(t));
+      weights.push_back(temp);
+      temp.clear();
+   }
+
+   return std::make_pair(abscissa, weights);
+}
+
+template <class Real>
+const tanh_sinh<Real>& get_integrator()
+{
+   static const tanh_sinh<Real> integrator(15);
+   return integrator;
+}
+
+template <class Real>
+Real get_convergence_tolerance()
+{
+   return boost::math::tools::root_epsilon<Real>();
+}
+
+
+template<class Real>
+void test_linear()
+{
+    std::cout << "Testing linear functions are integrated properly by tanh_sinh on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10*boost::math::tools::epsilon<Real>();
+    auto integrator = get_integrator<Real>();
+    auto f = [](const Real& x)
+    {
+       return 5*x + 7;
+    };
+    Real error;
+    Real L1;
+    Real Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, 9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+    Q = integrator.integrate(f, (Real) 1, (Real) 0, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, -9.5, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, 9.5, tol);
+    Q = integrator.integrate(f, (Real) 1, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_EQUAL(Q, Real(0));
+}
+
+
+template<class Real>
+void test_quadratic()
+{
+    std::cout << "Testing quadratic functions are integrated properly by tanh_sinh on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10*boost::math::tools::epsilon<Real>();
+    auto integrator = get_integrator<Real>();
+    auto f = [](const Real& x) { return 5*x*x + 7*x + 12; };
+    Real error;
+    Real L1;
+    Real Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, (Real) 17 + half<Real>()*third<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, (Real) 17 + half<Real>()*third<Real>(), tol);
+}
+
+
+template<class Real>
+void test_singular()
+{
+    std::cout << "Testing integration of endpoint singularities on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10*boost::math::tools::epsilon<Real>();
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+    auto f = [](const Real& x) { return log(x)*log(1-x); };
+    Real Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Real Q_expected = 2 - pi<Real>()*pi<Real>()*half<Real>()*third<Real>();
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+}
+
+
+// Examples taken from
+//http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/quadrature.pdf
+template<class Real>
+void test_ca()
+{
+    std::cout << "Testing integration of C(a) on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real error;
+    Real L1;
+
+    auto integrator = get_integrator<Real>();
+    auto f1 = [](const Real& x) { return atan(x)/(x*(x*x + 1)) ; };
+    Real Q = integrator.integrate(f1, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Real Q_expected = pi<Real>()*ln_two<Real>()/8 + catalan<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](Real x)->Real { Real t0 = x*x + 1; Real t1 = sqrt(t0); return atan(t1)/(t0*t1); };
+    Q = integrator.integrate(f2, (Real) 0 , (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4 - pi<Real>()/root_two<Real>() + 3*atan(root_two<Real>())/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f5 = [](Real t)->Real { return t*t*log(t)/((t*t - 1)*(t*t*t*t + 1)); };
+    Q = integrator.integrate(f5, (Real) 0 , (Real) 1);
+    Q_expected = pi<Real>()*pi<Real>()*(2 - root_two<Real>())/32;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Oh it suffers on this one.
+    auto f6 = [](Real t)->Real { Real x = log(t); return x*x; };
+    Q = integrator.integrate(f6, (Real) 0 , (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = 2;
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 50*tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, 50*tol);
+
+
+    // Although it doesn't get to the requested tolerance on this integral, the error bounds can be queried and are reasonable:
+    tol = sqrt(boost::math::tools::epsilon<Real>());
+    auto f7 = [](const Real& t) { return sqrt(tan(t)); };
+    Q = integrator.integrate(f7, (Real) 0 , (Real) half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/root_two<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f8 = [](const Real& t) { return log(cos(t)); };
+    Q = integrator.integrate(f8, (Real) 0 , half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = -pi<Real>()*ln_two<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, -Q_expected, tol);
+}
+
+
+template<class Real>
+void test_three_quadrature_schemes_examples()
+{
+    std::cout << "Testing integral in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+
+    auto integrator = get_integrator<Real>();
+    // Example 1:
+    auto f1 = [](const Real& t) { return t*boost::math::log1p(t); };
+    Q = integrator.integrate(f1, (Real) 0 , (Real) 1);
+    Q_expected = half<Real>()*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+
+    // Example 2:
+    auto f2 = [](const Real& t) { return t*t*atan(t); };
+    Q = integrator.integrate(f2, (Real) 0 , (Real) 1);
+    Q_expected = (pi<Real>() -2 + 2*ln_two<Real>())/12;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 2 * tol);
+
+    // Example 3:
+    auto f3 = [](const Real& t) { return exp(t)*cos(t); };
+    Q = integrator.integrate(f3, (Real) 0, half_pi<Real>());
+    Q_expected = boost::math::expm1(half_pi<Real>())*half<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 4:
+    auto f4 = [](Real x)->Real { Real t0 = sqrt(x*x + 2); return atan(t0)/(t0*(x*x+1)); };
+    Q = integrator.integrate(f4, (Real) 0 , (Real) 1);
+    Q_expected = 5*pi<Real>()*pi<Real>()/96;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 5:
+    auto f5 = [](const Real& t) { return sqrt(t)*log(t); };
+    Q = integrator.integrate(f5, (Real) 0 , (Real) 1);
+    Q_expected = -4/ (Real) 9;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // Example 6:
+    auto f6 = [](const Real& t) { return sqrt(1 - t*t); };
+    Q = integrator.integrate(f6, (Real) 0 , (Real) 1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+
+template<class Real>
+void test_integration_over_real_line()
+{
+    std::cout << "Testing integrals over entire real line in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+    auto f2 = [](const Real& t) { return exp(-t*t*half<Real>()); };
+    Q = integrator.integrate(f2, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_two_pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * 2);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol * 2);
+
+    // This test shows how oscillatory integrals are approximated very poorly by this method:
+    //std::cout << "Testing sinc integral: \n";
+    //Q = integrator.integrate(boost::math::sinc_pi<Real>, -std::numeric_limits<Real>::infinity(), std::numeric_limits<Real>::infinity(), &error, &L1);
+    //std::cout << "Error estimate of sinc integral: " << error << std::endl;
+    //std::cout << "L1 norm of sinc integral " << L1 << std::endl;
+    //Q_expected = pi<Real>();
+    //BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t) { return 1/cosh(t);};
+    Q = integrator.integrate(f4, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>();
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+}
+
+template<class Real>
+void test_right_limit_infinite()
+{
+    std::cout << "Testing right limit infinite for tanh_sinh in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    // Example 12
+    auto f2 = [](const Real& t) { return exp(-t)/sqrt(t); };
+    Q = integrator.integrate(f2, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 1000*tol);
+
+    auto f3 = [](const Real& t) { return exp(-t)*cos(t); };
+    Q = integrator.integrate(f3, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = half<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+
+    auto f4 = [](const Real& t) { return 1/(1+t*t); };
+    Q = integrator.integrate(f4, 1, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = pi<Real>()/4;
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+template<class Real>
+void test_left_limit_infinite()
+{
+    std::cout << "Testing left limit infinite for tanh_sinh in 'A Comparison of Three High Precision Quadrature Schemes' on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    auto integrator = get_integrator<Real>();
+
+    // Example 11:
+    auto f1 = [](const Real& t) { return 1/(1+t*t);};
+    Q = integrator.integrate(f1, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), Real(0));
+    Q_expected = half_pi<Real>();
+    BOOST_CHECK_CLOSE(Q, Q_expected, 100*tol);
+}
+
+
+// A horrible function taken from
+// http://www.chebfun.org/examples/quad/GaussClenCurt.html
+template<class Real>
+void test_horrible()
+{
+    std::cout << "Testing Trefenthen's horrible integral on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    // We only know the integral to double precision, so requesting a higher tolerance doesn't make sense.
+    Real tol = 10 * std::numeric_limits<float>::epsilon();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f = [](Real x)->Real { return x*sin(2*exp(2*sin(2*exp(2*x) ) ) ); };
+    Q = integrator.integrate(f, (Real) -1, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    // NIntegrate[x*Sin[2*Exp[2*Sin[2*Exp[2*x]]]], {x, -1, 1}, WorkingPrecision -> 130, MaxRecursion -> 100]
+    Q_expected = boost::lexical_cast<Real>("0.33673283478172753598559003181355241139806404130031017259552729882281");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Over again without specifying the bounds:
+    Q = integrator.integrate(f, get_convergence_tolerance<Real>(), &error, &L1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+// Some examples of tough integrals from NR, section 4.5.4:
+template<class Real>
+void test_nr_examples()
+{
+    std::cout << "Testing singular integrals from NR 4.5.4 on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f1 = [](Real x)->Real
+    {
+       return (sin(x * half<Real>()) * exp(-x) / x) / sqrt(x);
+    };
+    Q = integrator.integrate(f1, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = sqrt(pi<Real>()*(sqrt((Real) 5) - 2));
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 25*tol);
+
+    auto f2 = [](Real x)->Real { return pow(x, -(Real) 2/(Real) 7)*exp(-x*x); };
+    Q = integrator.integrate(f2, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>());
+    Q_expected = half<Real>()*boost::math::tgamma((Real) 5/ (Real) 14);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol * 6);
+
+}
+
+// Test integrand known to fool some termination schemes:
+template<class Real>
+void test_early_termination()
+{
+    std::cout << "Testing Clenshaw & Curtis's example of integrand which fools termination schemes on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    auto f1 = [](Real x)->Real { return 23*cosh(x)/ (Real) 25 - cos(x) ; };
+    Q = integrator.integrate(f1, (Real) -1, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = 46*sinh((Real) 1)/(Real) 25 - 2*sin((Real) 1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    // Over again with no bounds:
+    Q = integrator.integrate(f1);
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+}
+
+// Test some definite integrals from the CRC handbook, 32nd edition:
+template<class Real>
+void test_crc()
+{
+    std::cout << "Testing CRC formulas on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real tol = 10 * boost::math::tools::epsilon<Real>();
+    Real Q;
+    Real Q_expected;
+    Real error;
+    Real L1;
+    auto integrator = get_integrator<Real>();
+
+    // CRC Definite integral 585
+    auto f1 = [](Real x)->Real { Real t = log(1/x); return x*x*t*t*t; };
+    Q = integrator.integrate(f1, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = (Real) 2/ (Real) 27;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // CRC 636:
+    auto f2 = [](Real x)->Real { return sqrt(cos(x)); };
+    Q = integrator.integrate(f2, (Real) 0, (Real) half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+    //Q_expected = pow(two_pi<Real>(), 3*half<Real>())/pow(boost::math::tgamma((Real) 1/ (Real) 4), 2);
+    Q_expected = boost::lexical_cast<Real>("1.198140234735592207439922492280323878227212663215651558263674952946405214143915670835885556489793389375907225");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+    // CRC Section 5.5, integral 585:
+    for (int n = 0; n < 3; ++n) {
+        for (int m = 0; m < 3; ++m) {
+            auto f = [&](Real x)->Real { return pow(x, Real(m))*pow(log(1/x), Real(n)); };
+            Q = integrator.integrate(f, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+            // Calculation of the tgamma function is not exact, giving spurious failures.
+            // Casting to cpp_bin_float_100 beforehand fixes most of them.
+            cpp_bin_float_100 np1 = n + 1;
+            cpp_bin_float_100 mp1 = m + 1;
+            Q_expected = boost::lexical_cast<Real>((tgamma(np1)/pow(mp1, np1)).str());
+            BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+        }
+    }
+
+    // CRC Section 5.5, integral 591
+    // The parameter p allows us to control the strength of the singularity.
+    // Rapid convergence is not guaranteed for this function, as the branch cut makes it non-analytic on a disk.
+    // This converges only when our test type has an extended exponent range as all the area of the integral
+    // occurs so close to 0 (or 1) that we need abscissa values exceptionally small to find it.
+    // "There's a lot of room at the bottom".
+    // We also use a 2 argument functor so that 1-x is evaluated accurately:
+    if (std::numeric_limits<Real>::max_exponent > std::numeric_limits<double>::max_exponent)
+    {
+       for (Real p = Real (-0.99); p < 1; p += Real(0.1)) {
+          auto f = [&](Real x, Real cx)->Real
+          {
+             //return pow(x, p) / pow(1 - x, p);
+             return cx < 0 ? exp(p * (log(x) - boost::math::log1p(-x))) : pow(x, p) / pow(cx, p);
+          };
+          Q = integrator.integrate(f, (Real)0, (Real)1, get_convergence_tolerance<Real>(), &error, &L1);
+          Q_expected = 1 / sinc_pi(p*pi<Real>());
+          BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+       }
+    }
+    // There is an alternative way to evaluate the above integral: by noticing that all the area of the integral
+    // is near zero for p < 0 and near 1 for p > 0 we can substitute exp(-x) for x and remap the integral to the
+    // domain (0, INF).  Internally we need to expand out the terms and evaluate using logs to avoid spurious overflow, 
+    // this gives us
+    // for p > 0:
+    for (Real p = Real(0.99); p > 0; p -= Real(0.1)) {
+       auto f = [&](Real x)->Real
+       {
+          return exp(-x * (1 - p) + p * log(-boost::math::expm1(-x)));
+       };
+       Q = integrator.integrate(f, 0, boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / sinc_pi(p*pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+    }
+    // and for p < 1:
+    for (Real p = Real (-0.99); p < 0; p += Real(0.1)) {
+       auto f = [&](Real x)->Real
+       {
+          return exp(-p * log(-boost::math::expm1(-x)) - (1 + p) * x);
+       };
+       Q = integrator.integrate(f, 0, boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = 1 / sinc_pi(p*pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 10 * tol);
+    }
+
+    // CRC Section 5.5, integral 635
+    for (int m = 0; m < 10; ++m) {
+        auto f = [&](Real x)->Real { return 1/(1 + pow(tan(x), m)); };
+        Q = integrator.integrate(f, (Real) 0, half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+        Q_expected = half_pi<Real>()/2;
+        BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+
+    // CRC Section 5.5, integral 637:
+    //
+    // When h gets very close to 1, the strength of the singularity gradually increases until we
+    // no longer have enough exponent range to evaluate the integral....
+    // We also have to use the 2-argument functor version of the integrator to avoid
+    // cancellation error, since the singularity is near PI/2.
+    //
+    Real limit = std::numeric_limits<Real>::max_exponent > std::numeric_limits<double>::max_exponent
+       ? .95f : .85f;
+    for (Real h = Real(0.01); h < limit; h += Real(0.1)) {
+        auto f = [&](Real x, Real xc)->Real { return xc > 0 ? pow(1/tan(xc), h) : pow(tan(x), h); };
+        Q = integrator.integrate(f, (Real) 0, half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+        Q_expected = half_pi<Real>()/cos(h*half_pi<Real>());
+        BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+    }
+    // CRC Section 5.5, integral 637:
+    //
+    // Over again, but with argument transformation, we want:
+    //
+    // Integral of tan(x)^h over (0, PI/2)
+    //
+    // Note that the bulk of the area is next to the singularity at PI/2,
+    // so we'll start by replacing x by PI/2 - x, and that tan(PI/2 - x) == 1/tan(x)
+    // so we now have:
+    //
+    // Integral of 1/tan(x)^h over (0, PI/2)
+    //
+    // Which is almost the ideal form, except that when h is very close to 1
+    // we run out of exponent range in evaluating the integral arbitrarily close to 0.
+    // So now we substitute exp(-x) for x: this stretches out the range of the
+    // integral to (-log(PI/2), +INF) with the singularity at +INF giving:
+    //
+    // Integral of exp(-x)/tan(exp(-x))^h over (-log(PI/2), +INF)
+    //
+    // We just need a way to evaluate the function without spurious under/overflow
+    // in the exp terms.  Note that for small x: tan(x) ~= x, so making this
+    // substitution and evaluating by logs we have:
+    //
+    // exp(-x)/tan(exp(-x))^h ~= exp((h - 1) * x)  for x > -log(epsilon);
+    //
+    // Here's how that looks in code:
+    //
+    for (Real i = 80; i < 100; ++i) {
+       Real h = i / 100;
+       auto f = [&](Real x)->Real 
+       { 
+          if (x > -log(boost::math::tools::epsilon<Real>()))
+             return exp((h - 1) * x);
+          else
+          {
+             Real et = exp(-x);
+             // Need to deal with numeric instability causing et to be greater than PI/2:
+             return et >= boost::math::constants::half_pi<Real>() ? 0 : et * pow(1 / tan(et), h);
+          }
+       };
+       Q = integrator.integrate(f, -log(half_pi<Real>()), boost::math::tools::max_value<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+       Q_expected = half_pi<Real>() / cos(h*half_pi<Real>());
+       BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, 5 * tol);
+    }
+
+    // CRC Section 5.5, integral 670:
+
+    auto f3 = [](Real x)->Real { return sqrt(log(1/x)); };
+    Q = integrator.integrate(f3, (Real) 0, (Real) 1, get_convergence_tolerance<Real>(), &error, &L1);
+    Q_expected = root_pi<Real>()/2;
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+
+}
+
+template <class Real>
+void test_sf()
+{
+   using std::sqrt;
+   // Test some special functions that we already know how to evaluate:
+   std::cout << "Testing special functions on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+   Real tol = 10 * boost::math::tools::epsilon<Real>();
+   auto integrator = get_integrator<Real>();
+
+   // incomplete beta:
+   if (std::numeric_limits<Real>::digits10 < 37) // Otherwise too slow
+   {
+      Real a(100), b(15);
+      auto f = [&](Real x)->Real { return boost::math::ibeta_derivative(a, b, x); };
+      BOOST_CHECK_CLOSE_FRACTION(integrator.integrate(f, 0, Real(0.25)), boost::math::ibeta(100, 15, Real(0.25)), tol * 10);
+      // Check some really extreme versions:
+      a = 1000;
+      b = 500;
+      BOOST_CHECK_CLOSE_FRACTION(integrator.integrate(f, 0, 1), Real(1), tol * 15);
+      //
+      // This is as extreme as we can get in this domain: otherwise the function has all it's 
+      // area so close to zero we never get in there no matter how many levels we go down:
+      //
+      a = Real(1) / 15;
+      b = 30;
+      BOOST_CHECK_CLOSE_FRACTION(integrator.integrate(f, 0, 1), Real(1), tol * 25);
+   }
+
+   Real x = 2, y = 3, z = 0.5, p = 0.25;
+   // Elliptic integral RC:
+   Real Q = integrator.integrate([&](const Real& t)->Real { return 1 / (sqrt(t + x) * (t + y)); }, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>()) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::ellint_rc(x, y), tol);
+   // Elliptic Integral RJ:
+   BOOST_CHECK_CLOSE_FRACTION(Real((Real(3) / 2) * integrator.integrate([&](Real t)->Real { return 1 / (sqrt((t + x) * (t + y) * (t + z)) * (t + p)); }, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>())), boost::math::ellint_rj(x, y, z, p), tol);
+
+   z = 5.5;
+   if (std::numeric_limits<Real>::digits10 > 40)
+      tol *= 200;
+   else if (!std::numeric_limits<Real>::is_specialized)
+      tol *= 3;
+   // tgamma expressed as an integral:
+   BOOST_CHECK_CLOSE_FRACTION(integrator.integrate([&](Real t)->Real { using std::pow; using std::exp; return t > 10000 ? Real(0) : Real(pow(t, z - 1) * exp(-t)); }, 0, std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>()),
+      boost::math::tgamma(z), tol);
+   BOOST_CHECK_CLOSE_FRACTION(integrator.integrate([](const Real& t)->Real {  using std::exp; return exp(-t*t); }, std::numeric_limits<Real>::has_infinity ? -std::numeric_limits<Real>::infinity() : -boost::math::tools::max_value<Real>(), std::numeric_limits<Real>::has_infinity ? std::numeric_limits<Real>::infinity() : boost::math::tools::max_value<Real>()),
+      boost::math::constants::root_pi<Real>(), tol);
+}
+
+template <class Real>
+void test_2_arg()
+{
+   BOOST_MATH_STD_USING
+   std::cout << "Testing 2 argument functors on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+   Real tol = 10 * boost::math::tools::epsilon<Real>();
+
+   auto integrator = get_integrator<Real>();
+
+   //
+   // There are a whole family of integrals of the general form
+   // x(1-x)^-N ; N < 1
+   // which have all the interesting behaviour near the 2 singularities
+   // and all converge, see: http://www.wolframalpha.com/input/?i=integrate+(x+*+(1-x))%5E-1%2FN+from+0+to+1
+   //
+   Real Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return tc < 0 ? 1 / sqrt(t * (1-t)) : 1 / sqrt(t * tc);
+   }, 0, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::pi<Real>(), tol);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return tc < 0 ? 1 / boost::math::cbrt(t * (1-t)) : 1 / boost::math::cbrt(t * tc);
+   }, 0, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::pow<2>(boost::math::tgamma(Real(2) / 3)) / boost::math::tgamma(Real(4) / 3), tol * 3);
+   //
+   // We can do the same thing with ((1+x)(1-x))^-N ; N < 1
+   //
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / sqrt(-tc * (1-t)) : 1 / sqrt((t + 1) * tc);
+   }, -1, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::pi<Real>(), tol);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / sqrt(-tc * (1-t)) : 1 / sqrt((t + 1) * tc);
+   });
+   BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::pi<Real>(), tol);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / boost::math::cbrt(-tc * (1-t)) : 1 / boost::math::cbrt((t + 1) * tc);
+   }, -1, 1);
+   BOOST_CHECK_CLOSE_FRACTION(Q, sqrt(boost::math::constants::pi<Real>()) * boost::math::tgamma(Real(2) / 3) / boost::math::tgamma(Real(7) / 6), tol * 10);
+   Q = integrator.integrate([&](const Real& t, const Real & tc)->Real
+   {
+      return t < 0 ? 1 / boost::math::cbrt(-tc * (1-t)) : 1 / boost::math::cbrt((t + 1) * tc);
+   });
+   BOOST_CHECK_CLOSE_FRACTION(Q, sqrt(boost::math::constants::pi<Real>()) * boost::math::tgamma(Real(2) / 3) / boost::math::tgamma(Real(7) / 6), tol * 10);
+   //
+   // These are taken from above, and do not get to full precision via the single arg functor:
+   //
+   auto f7 = [](const Real& t, const Real& tc) { return t < 1 ? sqrt(tan(t)) : sqrt(1/tan(tc)); };
+   Real error, L1;
+   Q = integrator.integrate(f7, (Real)0, (Real)half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+   Real Q_expected = pi<Real>() / root_two<Real>();
+   BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+   BOOST_CHECK_CLOSE_FRACTION(L1, Q_expected, tol);
+
+   auto f8 = [](const Real& t, const Real& tc) { return t < 1 ? log(cos(t)) : log(sin(tc)); };
+   Q = integrator.integrate(f8, (Real)0, half_pi<Real>(), get_convergence_tolerance<Real>(), &error, &L1);
+   Q_expected = -pi<Real>()*ln_two<Real>()*half<Real>();
+   BOOST_CHECK_CLOSE_FRACTION(Q, Q_expected, tol);
+   BOOST_CHECK_CLOSE_FRACTION(L1, -Q_expected, tol);
+}
+
+template <class Complex>
+void test_complex()
+{
+   typedef typename Complex::value_type value_type;
+   //
+   // Integral version of the confluent hypergeometric function:
+   // https://dlmf.nist.gov/13.4#E1
+   //
+   value_type tol = 10 * boost::math::tools::epsilon<value_type>();
+   Complex a(2, 3), b(3, 4), z(0.5, -2);
+
+   auto f = [&](value_type t)
+   {
+      return exp(z * t) * pow(t, a - value_type(1)) * pow(value_type(1) - t, b - a - value_type(1));
+   };
+
+   auto integrator = get_integrator<value_type>();
+   auto Q = integrator.integrate(f, value_type(0), value_type(1), get_convergence_tolerance<value_type>());
+   //
+   // Expected result computed from http://www.wolframalpha.com/input/?i=1F1%5B(2%2B3i),+(3%2B4i);+(0.5-2i)%5D+*+gamma(2%2B3i)+*+gamma(1%2Bi)+%2F+gamma(3%2B4i)
+   //
+   Complex expected(boost::lexical_cast<value_type>("-0.2911081612888249710582867318081776512805281815037891183828405999609246645054069649838607112484426042883371996"),
+      boost::lexical_cast<value_type>("0.4507983563969959578849120188097153649211346293694903758252662015991543519595834937475296809912196906074655385"));
+
+   value_type error = abs(expected - Q);
+   BOOST_CHECK_LE(error, tol);
+
+   //
+   // Sin Integral https://dlmf.nist.gov/6.2#E9
+   //
+   auto f2 = [z](value_type t)
+   {
+      return -exp(-z * cos(t)) * cos(z * sin(t));
+   };
+   Q = integrator.integrate(f2, value_type(0), boost::math::constants::half_pi<value_type>(), get_convergence_tolerance<value_type>());
+
+   expected = Complex(boost::lexical_cast<value_type>("0.8893822921008980697856313681734926564752476188106405688951257340480164694708337246829840859633322683740376134733"),
+      -boost::lexical_cast<value_type>("2.381380802906111364088958767973164614925936185337231718483495612539455538280372745733208000514737758457795502168"));
+   expected -= boost::math::constants::half_pi<value_type>();
+
+   error = abs(expected - Q);
+   BOOST_CHECK_LE(error, tol);
+}
+
+
+BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test)
+{
+#ifdef GENERATE_CONSTANTS
+   //
+   // Generate pre-computed coefficients:
+   std::cout << std::setprecision(35);
+   print_levels(generate_constants<cpp_bin_float_100>(10, 8), "L");
+
+#else
+
+#ifdef TEST1
+
+    test_right_limit_infinite<float>();
+    test_left_limit_infinite<float>();
+    test_linear<float>();
+    test_quadratic<float>();
+    test_singular<float>();
+    test_ca<float>();
+    test_three_quadrature_schemes_examples<float>();
+    test_horrible<float>();
+    test_integration_over_real_line<float>();
+    test_nr_examples<float>();
+#endif
+#ifdef TEST1A
+    test_early_termination<float>();
+    test_2_arg<float>();
+#endif
+#ifdef TEST1B
+    test_crc<float>();
+#endif
+#ifdef TEST2
+    test_right_limit_infinite<double>();
+    test_left_limit_infinite<double>();
+    test_linear<double>();
+    test_quadratic<double>();
+    test_singular<double>();
+    test_ca<double>();
+    test_three_quadrature_schemes_examples<double>();
+    test_horrible<double>();
+    test_integration_over_real_line<double>();
+    test_nr_examples<double>();
+    test_early_termination<double>();
+    test_sf<double>();
+    test_2_arg<double>();
+#endif
+#ifdef TEST2A
+    test_crc<double>();
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#ifdef TEST3
+    test_right_limit_infinite<long double>();
+    test_left_limit_infinite<long double>();
+    test_linear<long double>();
+    test_quadratic<long double>();
+    test_singular<long double>();
+    test_ca<long double>();
+    test_three_quadrature_schemes_examples<long double>();
+    test_horrible<long double>();
+    test_integration_over_real_line<long double>();
+    test_nr_examples<long double>();
+    test_early_termination<long double>();
+    test_sf<long double>();
+    test_2_arg<long double>();
+#endif
+#ifdef TEST3A
+    test_crc<long double>();
+
+#endif
+#endif
+
+#ifdef TEST4
+    test_right_limit_infinite<cpp_bin_float_quad>();
+    test_left_limit_infinite<cpp_bin_float_quad>();
+    test_linear<cpp_bin_float_quad>();
+    test_quadratic<cpp_bin_float_quad>();
+    test_singular<cpp_bin_float_quad>();
+    test_ca<cpp_bin_float_quad>();
+    test_three_quadrature_schemes_examples<cpp_bin_float_quad>();
+    test_horrible<cpp_bin_float_quad>();
+    test_nr_examples<cpp_bin_float_quad>();
+    test_early_termination<cpp_bin_float_quad>();
+    test_crc<cpp_bin_float_quad>();
+    test_sf<cpp_bin_float_quad>();
+    test_2_arg<cpp_bin_float_quad>();
+
+#endif
+#ifdef TEST5
+
+    test_sf<cpp_bin_float_50>();
+    test_sf<cpp_bin_float_100>();
+    test_sf<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<150> > >();
+
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST6
+
+    test_right_limit_infinite<boost::math::concepts::real_concept>();
+    test_left_limit_infinite<boost::math::concepts::real_concept>();
+    test_linear<boost::math::concepts::real_concept>();
+    test_quadratic<boost::math::concepts::real_concept>();
+    test_singular<boost::math::concepts::real_concept>();
+    test_ca<boost::math::concepts::real_concept>();
+    test_three_quadrature_schemes_examples<boost::math::concepts::real_concept>();
+    test_horrible<boost::math::concepts::real_concept>();
+    test_integration_over_real_line<boost::math::concepts::real_concept>();
+    test_nr_examples<boost::math::concepts::real_concept>();
+    test_early_termination<boost::math::concepts::real_concept>();
+    test_sf<boost::math::concepts::real_concept>();
+    test_2_arg<boost::math::concepts::real_concept>();
+#endif
+#ifdef TEST6A
+    test_crc<boost::math::concepts::real_concept>();
+
+#endif
+#endif
+#ifdef TEST7
+    test_sf<cpp_dec_float_50>();
+#endif
+#if defined(TEST8) && defined(BOOST_HAS_FLOAT128)
+
+    test_right_limit_infinite<boost::multiprecision::float128>();
+    test_left_limit_infinite<boost::multiprecision::float128>();
+    test_linear<boost::multiprecision::float128>();
+    test_quadratic<boost::multiprecision::float128>();
+    test_singular<boost::multiprecision::float128>();
+    test_ca<boost::multiprecision::float128>();
+    test_three_quadrature_schemes_examples<boost::multiprecision::float128>();
+    test_horrible<boost::multiprecision::float128>();
+    test_integration_over_real_line<boost::multiprecision::float128>();
+    test_nr_examples<boost::multiprecision::float128>();
+    test_early_termination<boost::multiprecision::float128>();
+    test_crc<boost::multiprecision::float128>();
+    test_sf<boost::multiprecision::float128>();
+    test_2_arg<boost::multiprecision::float128>();
+
+#endif
+#ifdef TEST9
+    test_complex<std::complex<double> >();
+    test_complex<std::complex<float> >();
+#endif
+
+
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_0F1.cpp b/src/boost/libs/math/test/test_0F1.cpp
new file mode 100644
index 000000000..102376733
--- /dev/null
+++ b/src/boost/libs/math/test/test_0F1.cpp
@@ -0,0 +1,93 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_0F1.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+#else
+   largest_type = "(long\\s+)?double|cpp_bin_float_quad|dec_40";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer.*",                   // test data group
+      ".*", 300, 100);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Real.*",                   // test data group
+      ".*", 2000, 1000);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                   // test data group
+      ".*", 400, 100);               // test function
+
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#endif
+
+#if !defined(TEST) || (TEST == 2)
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 4)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_0F1.hpp b/src/boost/libs/math/test/test_0F1.hpp
new file mode 100644
index 000000000..24774e030
--- /dev/null
+++ b/src/boost/libs/math/test/test_0F1.hpp
@@ -0,0 +1,219 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_0F1.hpp>
+
+template <class Real, class T>
+void do_test_0F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_0F1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_0F1 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_0F1", test_name);
+   std::cout << std::endl;
+}
+
+template <class T>
+void test_spots(T, const char* type_name)
+{
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_0F1(T(3), T(0)), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_0F1(T(-3), T(0)), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_0F1(T(0), T(0)), 1);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_0F1(T(0), T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_0F1(T(-1), T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_0F1(T(-10), T(-5)), std::domain_error);
+
+   static const boost::array<boost::array<T, 3>, 50> hypergeometric_0F1_integer_data = { {
+      { SC_(4.0), SC_(-20.0),  SC_(-0.012889714201783047561923257996127233830940165138385) },
+      { SC_(8.0), SC_(-20.0),  SC_(0.046498609282365144223175012935939437508273248399881) },
+      { SC_(12.0), SC_(-20.0),  SC_(0.16608847431869756642136191351311569335145459224622) },
+      { SC_(16.0), SC_(-20.0),  SC_(0.27230484709157170329168048388841880599105216477631) },
+      { SC_(20.0), SC_(-20.0),  SC_(0.35865872656868844615709101792040025253126126604266) },
+      { SC_(4.0), SC_(-16.0),  SC_(-0.027293644412433023379286103818840667403690937153604) },
+      { SC_(8.0), SC_(-16.0),  SC_(0.098618710511372349330666801041676087431136532039702) },
+      { SC_(12.0), SC_(-16.0),  SC_(0.24360114226383905073379763460037817885919457531523) },
+      { SC_(16.0), SC_(-16.0),  SC_(0.35635186318802906043824855864337727878754460163525) },
+      { SC_(20.0), SC_(-16.0),  SC_(0.44218381382689101428948260613085371477815110358789) },
+      { SC_(4.0), SC_(-12.0),  SC_(-0.021743572290699436419371120781513860006290363262907) },
+      { SC_(8.0), SC_(-12.0),  SC_(0.19025625754362006866949730683824627505504067855043) },
+      { SC_(12.0), SC_(-12.0),  SC_(0.35251228238278927379621049815222218665165551016489) },
+      { SC_(16.0), SC_(-12.0),  SC_(0.46415411486674623230458980010115972932474705884865) },
+      { SC_(20.0), SC_(-12.0),  SC_(0.54394918325286018927327004362535051310016558628741) },
+      { SC_(4.0), SC_(-8.0),  SC_(0.056818744289274872033266550620647787396712125304880) },
+      { SC_(8.0), SC_(-8.0),  SC_(0.34487371876996263249797701802458885718691612997456) },
+      { SC_(12.0), SC_(-8.0),  SC_(0.50411654015891701804499796523449656998841355305043) },
+      { SC_(16.0), SC_(-8.0),  SC_(0.60191459981670594041254437708158847428118361245442) },
+      { SC_(20.0), SC_(-8.0),  SC_(0.66770752550930138035694866478078941681114294465418) },
+      { SC_(4.0), SC_(-4.0),  SC_(0.32262860540671645526863760914000166725449779629143) },
+      { SC_(8.0), SC_(-4.0),  SC_(0.59755773349355150397404772151441126513126998265958) },
+      { SC_(12.0), SC_(-4.0),  SC_(0.71337465206009117934071859694314971137807212605147) },
+      { SC_(16.0), SC_(-4.0),  SC_(0.77734333649378860739496954157535257278092349684783) },
+      { SC_(20.0), SC_(-4.0),  SC_(0.81794177985447769150469288350369205683856312760890) },
+
+      { SC_(4.0), SC_(4.0),  SC_(2.5029568338152582758923890008139391395035041790831) },
+      { SC_(8.0), SC_(4.0),  SC_(1.6273673128576761227855719910743734060605725722129) },
+      { SC_(12.0), SC_(4.0),  SC_(1.3898419290864057799739567227851793491657442624207) },
+      { SC_(16.0), SC_(4.0),  SC_(1.2817098157957427946677711269410726972209834860612) },
+      { SC_(20.0), SC_(4.0),  SC_(1.2202539302152377230940386181201477276788392792437) },
+      { SC_(4.0), SC_(8.0),  SC_(5.5616961007411965409200003309686924059253894118586) },
+      { SC_(8.0), SC_(8.0),  SC_(2.5877053985451664722152913482683136948296873738479) },
+      { SC_(12.0), SC_(8.0),  SC_(1.9166410733572697158003086323981583993970490592046) },
+      { SC_(16.0), SC_(8.0),  SC_(1.6370675016890669952237854163997946987362497613701) },
+      { SC_(20.0), SC_(8.0),  SC_(1.4862852701827990444915220582410007454379891584086) },
+      { SC_(4.0), SC_(12.0),  SC_(11.419268276211177842169936131590385979116019595164) },
+      { SC_(8.0), SC_(12.0),  SC_(4.0347215359576567066789638314925802225312840819037) },
+      { SC_(12.0), SC_(12.0),  SC_(2.6242497527837800417573064942486918368886996538285) },
+      { SC_(16.0), SC_(12.0),  SC_(2.0840468784170876805932772732753387258909164486511) },
+      { SC_(20.0), SC_(12.0),  SC_(1.8071042457762091748544382847762106786633952487005) },
+      { SC_(4.0), SC_(16.0),  SC_(22.132051970576036053853444648907108439504682530918) },
+      { SC_(8.0), SC_(16.0),  SC_(6.1850485247748975008808779795786699492711191898792) },
+      { SC_(12.0), SC_(16.0),  SC_(3.5694322843488018916484224923627864928705138154372) },
+      { SC_(16.0), SC_(16.0),  SC_(2.6447371137201451261118187672029372265909501355722) },
+      { SC_(20.0), SC_(16.0),  SC_(2.1934058398888071720297525592515838555602675797235) },
+      { SC_(4.0), SC_(20.0),  SC_(41.021743268279206331672552645354782698296383424328) },
+      { SC_(8.0), SC_(20.0),  SC_(9.3414225299809886395081381945971250426599939097753) },
+      { SC_(12.0), SC_(20.0),  SC_(4.8253866205826406499959001774187695527272168375992) },
+      { SC_(16.0), SC_(20.0),  SC_(3.3462305133519485784864062004430532216764447939942) },
+      { SC_(20.0), SC_(20.0),  SC_(2.6578698872220394617444624241257799193518140676691) },
+      } };
+
+   static const boost::array<boost::array<T, 3>, 121> hypergeometric_0F1_real_data = { {
+      { SC_(-20.25), SC_(-20.25), SC_(2.7957722939837585922721916572828265337379885810463) },
+      {SC_(-20.25), SC_(-16.25), SC_(2.2711152061687223613453898226719770018304527545367) },
+      {SC_(-20.25), SC_(-12.25), SC_(1.8494593608212709260834907188011226625504792564008) },
+      {SC_(-20.25), SC_(-8.25), SC_(1.5096123122209879279439571483106546579344083224475) },
+      {SC_(-20.25), SC_(-4.25), SC_(1.2349600261245108147217156468676391406107607937783) },
+      {SC_(-20.25), SC_(-0.25), SC_(1.0124262131477737489760461958823145562583738548481) },
+      {SC_(-20.25), SC_(3.75), SC_(0.83168105368847042690250207452503923498261925399290) },
+      {SC_(-20.25), SC_(7.75), SC_(0.68453616446705348287989858944821561345027038288523) },
+      {SC_(-20.25), SC_(11.75), SC_(0.56447959084730590158981806575147730464939958811641) },
+      {SC_(-20.25), SC_(15.75), SC_(0.46631672324832840040099031042536652056451149930724) },
+      {SC_(-20.25), SC_(19.75), SC_(0.38589178960453729031753371638509489720353970202557) },
+      {SC_(-16.25), SC_(-20.25), SC_(3.6853033678389815793858749638872118256381350051933) },
+      {SC_(-16.25), SC_(-16.25), SC_(2.8189932976213221794412912826715210157252407675492) },
+      {SC_(-16.25), SC_(-12.25), SC_(2.1683206814848382415951069178541485022190389032861) },
+      {SC_(-16.25), SC_(-8.25), SC_(1.6762781419304165453124288212144469387497248544980) },
+      {SC_(-16.25), SC_(-4.25), SC_(1.3019174596541545423250019596925072929338360502457) },
+      {SC_(-16.25), SC_(-0.25), SC_(1.0155114597289924802082858072926838795825629097345) }, 
+      {SC_(-16.25), SC_(3.75), SC_(0.79528104007050457443200675888120572482230255556703) },
+      {SC_(-16.25), SC_(7.75), SC_(0.62514113457518737301424222399549180276283312092061) },
+      {SC_(-16.25), SC_(11.75), SC_(0.49312611939645449055396232495817215814052621005108) },
+      {SC_(-16.25), SC_(15.75), SC_(0.39027640231656357551572959324213784623094177949066) },
+      {SC_(-16.25), SC_(19.75), SC_(0.30983458381312295039033218076191326310645958859520) },
+      {SC_(-12.25), SC_(-20.25), SC_(6.1704666666278938283835490432795642056267750516111) },
+      {SC_(-12.25), SC_(-16.25), SC_(4.1552272888330207621302106989548328150305062793812) },
+      {SC_(-12.25), SC_(-12.25), SC_(2.8629405204600569631773103187639297768454467434670) },
+      {SC_(-12.25), SC_(-8.25), SC_(2.0050800521989931571210090020740770238121125995302) },
+      {SC_(-12.25), SC_(-4.25), SC_(1.4226882175494078094616273681832235056660520864074) },
+      {SC_(-12.25), SC_(-0.25), SC_(1.0206367767231596623643982724086720984175407326239) },
+      {SC_(-12.25), SC_(3.75), SC_(0.73925379130945509368577275378254380866098045869975) },
+      {SC_(-12.25), SC_(7.75), SC_(0.54000881441780813642748748511053584681016992673867) },
+      {SC_(-12.25), SC_(11.75), SC_(0.39734252271724847449760568202775839997979417321096) },
+      {SC_(-12.25), SC_(15.75), SC_(0.28584659061590258036270241201657559564217479119707) },
+      {SC_(-12.25), SC_(19.75), SC_(-0.0081173945118881955152340569022581720505805271716412) },
+      {SC_(-8.25), SC_(-20.25), SC_(30.214776746264667028399437825207186990952563144565) },
+      {SC_(-8.25), SC_(-16.25), SC_(13.206923736113233408873312298765667487728366521206) },
+      {SC_(-8.25), SC_(-12.25), SC_(5.8765290507182112008139505719133766922110698377617) },
+      {SC_(-8.25), SC_(-8.25), SC_(2.9943833929883303847073818502561706078874721587174) },
+      {SC_(-8.25), SC_(-4.25), SC_(1.7091345745360580812285240901667243909385176010261) },
+      {SC_(-8.25), SC_(-0.25), SC_(1.0308325464760906146441689208198464885112314788329) },
+      {SC_(-8.25), SC_(3.75), SC_(0.64304308306518963175886701666419407366549702609687) },
+      {SC_(-8.25), SC_(7.75), SC_(0.37629752350234203158515342524983705294147434733076) },
+      {SC_(-8.25), SC_(11.75), SC_(-2.1055871696987101269944140698868945037062228729050) },
+      {SC_(-8.25), SC_(15.75), SC_(-50.562697627448074052585932806347970082382096647974) },
+      {SC_(-8.25), SC_(19.75), SC_(-579.94915881084897988862450916571551198001894291852) },
+      { SC_(-4.25), SC_(-20.25), SC_(-66.582207191755226871227185886830083823068161088090) }, {SC_(-4.25), SC_(-16.25), SC_(0.99585574579280575697804972744074637223473969232632)}, {SC_(-4.25), SC_(-12.25), SC_(23.510774658631484713205463401664873191546111331469)}, {SC_(-4.25), SC_(-8.25), SC_(14.506347207276003438062329264569459812455033677057)}, {SC_(-4.25), SC_(-4.25), SC_(3.8047736693317086794526961473100619698786965398531)}, {SC_(-4.25), SC_(-0.25), SC_(1.0611747490912035255122776417926285437513018011867)}, {SC_(-4.25), SC_(3.75), SC_(-0.80390254520675152395475412235031817082929562419835)}, {SC_(-4.25), SC_(7.75), SC_(-100.43339815718209139439327680390551018715836820761)}, {SC_(-4.25), SC_(11.75), SC_(-1533.8025906900325906352282963205257001995564543560)}, {SC_(-4.25), SC_(15.75), SC_(-11903.890928701912286627232258091180714843387637568)}, {SC_(-4.25), SC_(19.75), SC_(-63573.720858843295034857393096900086420282088096223)},
+      {SC_(-0.25), SC_(-20.25), SC_(5.8154983455887482996117997327072965277711303658190)}, {SC_(-0.25), SC_(-16.25), SC_(7.8645427110771775078914759561882836266181443022557)}, {SC_(-0.25), SC_(-12.25), SC_(2.8859855860040835605817890532890777322459344278127)}, {SC_(-0.25), SC_(-8.25), SC_(-4.4978057721216329075474975538674330456610136767402)}, {SC_(-0.25), SC_(-4.25), SC_(-3.2843951886889091457664917868727091433634846305430)}, {SC_(-0.25), SC_(-0.25), SC_(1.8410918501257885334774939532672407660260932497146)}, {SC_(-0.25), SC_(3.75), SC_(-89.507839434346979238664123270851349643390027303630)}, {SC_(-0.25), SC_(7.75), SC_(-684.94531486572802102565352112548840783460445744423)}, {SC_(-0.25), SC_(11.75), SC_(-2980.9405282185801785979381426998934753615183894674)}, {SC_(-0.25), SC_(15.75), SC_(-9963.0984480949236929126495173451788015488533057312)}, {SC_(-0.25), SC_(19.75), SC_(-28354.285610765325603366060327671144508742992535586)},
+      {SC_(3.75), SC_(-20.25), SC_(-0.0076845585942792341317694895749400053976192347461355)}, {SC_(3.75), SC_(-16.25), SC_(-0.026676473833363805218474733943073126852098252692238)}, {SC_(3.75), SC_(-12.25), SC_(-0.033150612620140155332437908902071743835476014605824)}, {SC_(3.75), SC_(-8.25), SC_(0.024862128358835876745073743789586165594233386818764)}, {SC_(3.75), SC_(-4.25), SC_(0.26643741037095553396026886662906805496932883791011)}, {SC_(3.75), SC_(-0.25), SC_(0.93506252732788015337201598317744583689077922422313)}, {SC_(3.75), SC_(3.75), SC_(2.4937080902782278272865074460355462658482459750891)}, {SC_(3.75), SC_(7.75), SC_(5.7782165977734310384947791703219081203794593104898)}, {SC_(3.75), SC_(11.75), SC_(12.239149970819448162027824359733914867194838641207)}, {SC_(3.75), SC_(15.75), SC_(24.315766317657856526802495882902104213004243807834)}, {SC_(3.75), SC_(19.75), SC_(46.004706133409223855903017790328079349160741103989)},
+      {SC_(7.75), SC_(-20.25), SC_(0.037235565108204273745081008045192031428127589963378)}, {SC_(7.75), SC_(-16.25), SC_(0.084729597975458928169783385558211341184710436894527)}, {SC_(7.75), SC_(-12.25), SC_(0.17080635394402470513520780978929502652414093665998)}, {SC_(7.75), SC_(-8.25), SC_(0.31950343789501896907243089625679164966361926427901)}, {SC_(7.75), SC_(-4.25), SC_(0.56722331717592488544254097481360697514802761113579)}, {SC_(7.75), SC_(-0.25), SC_(0.96819884906571311048909491350402784950555589172778)}, {SC_(7.75), SC_(3.75), SC_(1.6020878195055145404559679357988911544832570195929)}, {SC_(7.75), SC_(7.75), SC_(2.5844402449306647890994627013439918401353618660618)}, {SC_(7.75), SC_(11.75), SC_(4.0810182332680718846036289812422612468750062913766)}, {SC_(7.75), SC_(15.75), SC_(6.3272529834696435764802870864047851742114357592781)}, {SC_(7.75), SC_(19.75), SC_(9.6545155398613375064364794042284225393502577025757)},
+      {SC_(11.75), SC_(-20.25), SC_(0.15486394311085924113988037667235580632108514049961)}, {SC_(11.75), SC_(-16.25), SC_(0.22985383829087750746997781544418442650948306731355)}, {SC_(11.75), SC_(-12.25), SC_(0.33615798547981440387258985310070073263439571574352)}, {SC_(11.75), SC_(-8.25), SC_(0.48533791924865732402484841770387435054807176843922)}, {SC_(11.75), SC_(-4.25), SC_(0.69279476096089396016927378719976382816612949045723)}, {SC_(11.75), SC_(-0.25), SC_(0.97893073946457038719047235276954159274687951133239)}, {SC_(11.75), SC_(3.75), SC_(1.3706338991326610410785896448412400026741719976537)}, {SC_(11.75), SC_(7.75), SC_(1.9031693475249062854591923959807180024296317864633)}, {SC_(11.75), SC_(11.75), SC_(2.6225804467534900775963810848242641845248345641566)}, {SC_(11.75), SC_(15.75), SC_(3.5887279276489256865660553406508246843289687389280)}, {SC_(11.75), SC_(19.75), SC_(4.8791249650630001302695046693426702384634788655376)},
+      {SC_(15.75), SC_(-20.25), SC_(0.26169993773941504714021934731773052404003435302548)}, {SC_(15.75), SC_(-16.25), SC_(0.34428767856756521281521994646213632566799672170823)}, {SC_(15.75), SC_(-12.25), SC_(0.45068705303931291468643647219845752956581924151602)}, {SC_(15.75), SC_(-8.25), SC_(0.58722904807165396939912732843015800226017006383889)}, {SC_(15.75), SC_(-4.25), SC_(0.76180845119510741657129800934863890343557924548267)}, {SC_(15.75), SC_(-0.25), SC_(0.98424488519002985986673227194811800795924545598747)}, {SC_(15.75), SC_(3.75), SC_(1.2667221438640806060367418270328561473306297946124)}, {SC_(15.75), SC_(7.75), SC_(1.6243218504073229104605986746109545497016155557456)}, {SC_(15.75), SC_(11.75), SC_(2.0756705639798239579947551789739745396066053149652)}, {SC_(15.75), SC_(15.75), SC_(2.6437231357748258767712950042187028922110335308912)}, {SC_(15.75), SC_(19.75), SC_(3.3567094629489291868172072628630988653584236011026)},
+      {SC_(19.75), SC_(-20.25), SC_(0.34910186209886263988734004369646266800659689838760)}, {SC_(19.75), SC_(-16.25), SC_(0.43171851514846723176830271990344447636246814031258)}, {SC_(19.75), SC_(-12.25), SC_(0.53264760691226214051563276361223610040193575209722)}, {SC_(19.75), SC_(-8.25), SC_(0.65570932018638949205413006445398352201545799769694)}, {SC_(19.75), SC_(-4.25), SC_(0.80547695536244789152425915957330496255335464733020)}, {SC_(19.75), SC_(-0.25), SC_(0.98741773517508964436868231216434995093107999788450)}, {SC_(19.75), SC_(3.75), SC_(1.2080586524527299846909832323308446155063281314444)}, {SC_(19.75), SC_(7.75), SC_(1.4751816095060559707610879513647971547078203326785)}, {SC_(19.75), SC_(11.75), SC_(1.7980527870029919079278807774802021351478928537606)}, {SC_(19.75), SC_(15.75), SC_(2.1876919765295108137252526717389200156554872202073)}, {SC_(19.75), SC_(19.75), SC_(2.6571885305131654484163938203293169727636168525176)}
+      } };
+
+   static const boost::array<boost::array<T, 3>, 49> hypergeometric_0F1_large_data = { {
+      {SC_(-3000.25), SC_(-3000.25), SC_(2.7187352281773126038196142076996225709478475910049)}, 
+      {SC_(-3000.25), SC_(-2000.25), SC_(1.9479325178881941977364868969702984561194629278005)}, 
+      {SC_(-3000.25), SC_(-1000.25), SC_(1.3957158200680510708579318399559946925035296441969)}, 
+      {SC_(-3000.25), SC_(-0.25), SC_(1.0000833298623651641409421309527751141654844918029)}, 
+      {SC_(-3000.25), SC_(999.75), SC_(0.71662418615385142079900540026845986168175943851435)}, 
+      {SC_(-3000.25), SC_(1999.75), SC_(0.51352644595687380807192108174566627121840655509659)}, 
+      {SC_(-3000.25), SC_(2999.75), SC_(0.36800205062066223494767361354167341477112311421338)},
+      {SC_(-2000.25), SC_(-3000.25), SC_(4.4839337747691491664160512023395421809359987226033)}, 
+      {SC_(-2000.25), SC_(-2000.25), SC_(2.7189621930215506574513067999560632490479415009312)}, 
+      {SC_(-2000.25), SC_(-1000.25), SC_(1.6489274597179783576990334595113842446837612984637)}, 
+      {SC_(-2000.25), SC_(-0.25), SC_(1.0001249921917327582862611787131655498347374570534)}, 
+      {SC_(-2000.25), SC_(999.75), SC_(0.60668227026545158239160396829655637629150925375338)}, 
+      {SC_(-2000.25), SC_(1999.75), SC_(0.36806334257221693918034782383378883527025156371561)}, 
+      {SC_(-2000.25), SC_(2999.75), SC_(0.22332534501129284494390126255673652609551748168190)},
+      {SC_(-1000.25), SC_(-3000.25), SC_(20.166446124477887217071731764646075153043381039788)}, 
+      {SC_(-1000.25), SC_(-2000.25), SC_(7.4020458503369278169047297486603438977667911685454)}, 
+      {SC_(-1000.25), SC_(-1000.25), SC_(2.7196441509079794494949614854599837302121989306579)}, 
+      {SC_(-1000.25), SC_(-0.25), SC_(1.0002499687838699774154682651484339556685615759685)}, 
+      {SC_(-1000.25), SC_(999.75), SC_(0.36824716733727347121444226394598870471042459648225)}, 
+      {SC_(-1000.25), SC_(1999.75), SC_(0.13570722006231629831063556421918175042108431159794)}, 
+      {SC_(-1000.25), SC_(2999.75), SC_(0.050060760590698310218753944980019339485378387824874)},
+      {SC_(-0.25), SC_(-3000.25), SC_(39.685967392358901409909771219162599134220400862017)}, 
+      {SC_(-0.25), SC_(-2000.25), SC_(42.589937906362216198404510603403791771675699582116)}, 
+      {SC_(-0.25), SC_(-1000.25), SC_(1.4484609059158563254575589143006796017980497019204)}, 
+      {SC_(-0.25), SC_(-0.25), SC_(1.8410918501257885334774939532672407660260932497146)},
+      {SC_(-0.25), SC_(999.75), SC_(-5.3078213765443269585708737506907854937173735893125e28) }, 
+      {SC_(-0.25), SC_(1999.75), SC_(-1.6498771472158460728992067699031965281087177690027e40) }, 
+      {SC_(-0.25), SC_(2999.75), SC_(-1.0342523123207467753461742345710027886431938539942e49) },
+      {SC_(999.75), SC_(-3000.25), SC_(0.049513102314849089089531272645546209356947364503693)}, {SC_(999.75), SC_(-2000.25), SC_(0.13496287555692361766808821455578584612232691847368)}, {SC_(999.75), SC_(-1000.25), SC_(0.36751140843960205420082946295266027163679747815171)}, {SC_(999.75), SC_(-0.25), SC_(0.99974996871616159816731662896550362438335384158579)}, {SC_(999.75), SC_(999.75), SC_(2.7169258487486599795213704968075693651612629011137)}, {SC_(999.75), SC_(1999.75), SC_(7.3761834991423536961023917193398034973414374920724)}, {SC_(999.75), SC_(2999.75), SC_(20.005752597249211333476751024563565243417014841294)},
+      {SC_(1999.75), SC_(-3000.25), SC_(0.22293486720691878909733143630236248153349047769471)}, {SC_(1999.75), SC_(-2000.25), SC_(0.36769546312912945115503617374640562125026416585911)}, {SC_(1999.75), SC_(-1000.25), SC_(0.60637900493362087991135014744274427763909334895653)}, {SC_(1999.75), SC_(-0.25), SC_(0.99987499218326921518475889542511447173965188103381)}, {SC_(1999.75), SC_(999.75), SC_(1.6485152791856256326123376967789594359576461105786)}, {SC_(1999.75), SC_(1999.75), SC_(2.7176030495659989803962821602572269144434394541710)}, {SC_(1999.75), SC_(2999.75), SC_(4.4794520688544123057192034298995619570726142156707)},
+      {SC_(2999.75), SC_(-3000.25), SC_(0.36775679765931355729803647936785321939707796855752)}, {SC_(2999.75), SC_(-2000.25), SC_(0.51330776829498225175667208437735196999610552588713)}, {SC_(2999.75), SC_(-1000.25), SC_(0.71643841877594009499597675075273584291266593195763)}, {SC_(2999.75), SC_(-0.25), SC_(0.99991666319319078123594326189204686183292938405581)}, {SC_(2999.75), SC_(999.75), SC_(1.3955090626492889292016427682906884819283986108381)}, {SC_(2999.75), SC_(1999.75), SC_(1.9475357570910758403975860806320078849962664462281)}, {SC_(2999.75), SC_(2999.75), SC_(2.7178291334815105222784044221313459883434486746788)},
+   } };
+
+   do_test_0F1<T>(hypergeometric_0F1_integer_data, type_name, "Integer Arguments");
+   do_test_0F1<T>(hypergeometric_0F1_real_data, type_name, "Real Arguments");
+   do_test_0F1<T>(hypergeometric_0F1_large_data, type_name, "Large Arguments");
+}
+
diff --git a/src/boost/libs/math/test/test_1F0.cpp b/src/boost/libs/math/test/test_1F0.cpp
new file mode 100644
index 000000000..f99881da7
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F0.cpp
@@ -0,0 +1,29 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F0.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F);
+#endif
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+   test_spots(boost::multiprecision::cpp_bin_float_quad());
+   test_spots(boost::multiprecision::cpp_dec_float_50());
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_1F0.hpp b/src/boost/libs/math/test/test_1F0.hpp
new file mode 100644
index 000000000..9c2e99692
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F0.hpp
@@ -0,0 +1,60 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F0.hpp>
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+
+template <class T>
+void test_spots(T)
+{
+   using std::pow;
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(4)), T(-27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(0.5)), T(0.125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(0.5)), T(8), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(4)), T(T(-1) / 27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-0.5)), pow(T(1.5), -3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-2)), T(1 / T(27)), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-4)), T(T(1) / 125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-0.5)), pow(T(1.5), 3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-2)), T(27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-4)), T(125), tolerance);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3.25), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3.25), T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3.25), T(2)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3.25), T(2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_1F1.cpp b/src/boost/libs/math/test/test_1F1.cpp
new file mode 100644
index 000000000..b8d1af380
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1.cpp
@@ -0,0 +1,194 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F1.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Integer a values",            // test data group
+      ".*", 25000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Large.*",                     // test data group
+      ".*", 500000, 22000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Small.*",                     // test data group
+      ".*", 2000, 200);              // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 12000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 20000000L, 650000L);     // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 1000, 300);              // test function
+
+#if (LDBL_MANT_DIG < DBL_MANT_DIG * 2) && (LDBL_MANT_DIG != DBL_MANT_DIG)
+   //
+   // long double has only a little extra precision and errors may creep
+   // into the double results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 40, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Bug.*",                     // test data group
+      ".*", 300, 50);                 // test function
+
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer a values",                   // test data group
+      ".*", 16000, 600);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Small.*",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                     // test data group
+      ".*", 400000, 9000);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 2200000, 430000);        // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 1500000, 430000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+   test_hypergeometric_mellin_transform<double>();
+   test_hypergeometric_laplace_transform<double>();
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1.hpp b/src/boost/libs/math/test/test_1F1.hpp
new file mode 100644
index 000000000..c9aa61e04
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1.hpp
@@ -0,0 +1,381 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class Real, class T>
+void do_test_1F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_1F1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_1F1", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_1F1.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1, type_name, "Integer a values");
+
+#include "hypergeometric_1F1_small_random.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_small_random, type_name, "Small random values");
+}
+
+template <class T>
+void test_spots2(T, const char* type_name)
+{
+#include "hypergeometric_1F1_big.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_big, type_name, "Large random values");
+}
+
+template <class T>
+void test_spots3(T, const char* type_name)
+{
+#include "hypergeometric_1F1_big_double_limited.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_big_double_limited, type_name, "Large random values - double limited precision");
+}
+
+template <class T>
+void test_spots4(T, const char* type_name)
+{
+#include "hypergeometric_1F1_big_unsolved.ipp"
+
+   do_test_1F1<T>(hypergeometric_1F1_big, type_name, "Large random values - unsolved domains");
+}
+
+template <class T>
+void test_spots5(T, const char* type_name)
+{
+   std::cout << "Testing special cases for type " << type_name << std::endl;
+   BOOST_MATH_STD_USING
+      //
+      // Special cases:
+      //
+      using boost::math::hypergeometric_1F1;
+   T tol = boost::math::tools::epsilon<T>() * 200;
+   if (std::numeric_limits<T>::digits > std::numeric_limits<double>::digits)
+      tol *= 2;
+   if (boost::is_class<T>::value)
+      tol *= 4;
+   // b = 2a
+   T computed = hypergeometric_1F1(T(-12.25), T(2 * -12.25), T(6.75));
+   T expected = boost::lexical_cast<T>("22.995348157760091167706081204212893687052775606591209203948675272473773725021024450870565197330528784707135828761");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(12.25), T(2 * 12.25), T(6.75));
+   expected = boost::lexical_cast<T>("36.47281964229300610642392880149257389834650024065756742702265701321933782423217084029882132197130099355867287657");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-11), T(-12), T(6.75));
+   expected = boost::lexical_cast<T>("376.3166426246459656334542608880377435064935064935064935064935064935064935064935064935064935064935064935064935064");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-2), T(-12), T(6.75));
+   expected = boost::lexical_cast<T>("2.470170454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-224), T(-1205), T(6.75));
+   expected = boost::lexical_cast<T>("3.497033449657595724636676193024114597507981035316405619832857546161530808157860391434240068189887198094611519953");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(0.5), T(-1205.5), T(-6.75));
+   expected = boost::lexical_cast<T>("1.00281149043026925155096279505879868076290060374397866773878698584557482321961231721407215665017657501846692575");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-0.5), T(-1205.5), T(-6.75));
+   expected = boost::lexical_cast<T>("0.99719639844965644594352920596780535220516138060108955206195178371227403775248888108818326220977962797312690");
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-12), T(16.25), T(1043.75));
+   expected = boost::lexical_cast<T>("1.26527673505477678311707565502355407505496430400394171269315320194708537626079491650410923064978320042481912e20");
+   BOOST_CHECK_CLOSE(computed, expected, tol * 3);
+
+   computed = hypergeometric_1F1(T(3.5), T(3.5), T(36.25));
+   expected = exp(T(36.25));
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-3.5), T(-3.5), T(36.25));
+   expected = exp(T(36.25));
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(1), T(2), T(36.25));
+   expected = boost::math::expm1(T(36.25)) / T(36.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol * 3);
+   computed = hypergeometric_1F1(T(10.25), T(9.25), T(36.25));
+   expected = exp(T(36.25)) * (T(9.25) + T(36.25)) / T(9.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-10.25), T(-11.25), T(36.25));
+   expected = exp(T(36.25)) * (T(-11.25) + T(36.25)) / T(-11.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+   computed = hypergeometric_1F1(T(-10.25), T(-11.25), T(-36.25));
+   expected = exp(T(-36.25)) * (T(-11.25) + T(-36.25)) / T(-11.25);
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+}
+
+template <class T>
+void test_spots6(T, const char* type_name)
+{
+   static const boost::array<boost::array<T, 4>, 91> hypergeometric_1F1_bugs = { {
+        { { static_cast<double>(17955.561660766602), static_cast<double>(9.6968994205831605e-09), static_cast<double>(-82.406154185533524), SC_(6.98056008378736714088730927132364938220428678e-11) }},
+        { { static_cast<double>(17955.561660766602), static_cast<double>(-9.6968994205831605e-09), static_cast<double>(-82.406154185533524), SC_(-6.98055306629610746072607353939306734740549551e-11) }},
+        { { static_cast<double>(-17955.561660766602), static_cast<double>(-9.6968994205831605e-09), static_cast<double>(82.406154185533524), SC_(-42897094853118832762870100.8669248353530950866) }} ,
+        { { static_cast<double>(17955.561660766602), static_cast<double>(17956.061660766602), static_cast<double>(82.406154185533524), SC_(613117565438499794408370861624072730.553215432) }},
+        { { static_cast<double>(2.9127331452327709e-07), static_cast<double>(-0.99999970872668542), static_cast<double>(0.15018942760070786), SC_(0.987526018990506843793601092932108059727149508) }},
+        { { static_cast<double>(-2.9127331452327709e-07), static_cast<double>(-1.0000002912733146), static_cast<double>(0.15018942760070786), SC_(0.987526120661366412484942089372497015837368389) }},
+        { { static_cast<double>(6.7191087900739423e-13), static_cast<double>(-0.99999999999932809), static_cast<double>(0.0011913633891253994), SC_(0.999999289758605006762757201699750974296453229) }},
+        { { static_cast<double>(6.7191087900739423e-13), static_cast<double>(-0.99999999999932809), static_cast<double>(-0.0011913633891253994), SC_(0.999999290885918468326416221021126912154021802) }},
+        { { static_cast<double>(-6.7191087900739423e-13), static_cast<double>(-1.0000000000006719), static_cast<double>(0.0011913633891253994), SC_(0.999999289758606609651292394510404091049823243) }},
+        { { static_cast<double>(-6.7191087900739423e-13), static_cast<double>(-1.0000000000006719), static_cast<double>(-0.0011913633891253994), SC_(0.999999290885916869252591036674587894145399498) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(0.979404874070484696999110600576068012417904384) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(-6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(1.0205951259295150865252112924093487321207727) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(1.02059512592951530745923325071510441026202975) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(-6.2442285664031425e-16), static_cast<double>(-2539.60133934021), SC_(0.979404874070484909016444856299500644331897735) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(1), static_cast<double>(-2539.60133934021), SC_(0.999999999999999891757095137551552220860540801) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(1), static_cast<double>(-2539.60133934021), SC_(1.00000000000000010824290486244845922375479178) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(0.5), static_cast<double>(-2539.60133934021), SC_(0.999999999999999873931788919689096760455570214) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(0.5), static_cast<double>(-2539.60133934021), SC_(1.0000000000000001260682110803109183167444166) }},
+        { { static_cast<double>(1.2860067365774887e-17), static_cast<double>(-0.5), static_cast<double>(-2539.60133934021), SC_(0.999999999999999899656990458526368219886894767) }},
+        { { static_cast<double>(-1.2860067365774887e-17), static_cast<double>(-0.5), static_cast<double>(-2539.60133934021), SC_(1.00000000000000010034300954147364037131355735) }},
+        { { static_cast<double>(1.9561377367172441e-13), static_cast<double>(-0.99999999999980438), static_cast<double>(0.53720525559037924), SC_(0.791950585963666119273677451162365759080483409) }},
+        { { static_cast<double>(1.9561377367172441e-13), static_cast<double>(-0.99999999999980438), static_cast<double>(-0.53720525559037924), SC_(0.898314630992769591673208399706587643905527327) }},
+        { { static_cast<double>(-1.9561377367172441e-13), static_cast<double>(-1.0000000000001956), static_cast<double>(0.53720525559037924), SC_(0.791950585964025761367113514279915403442035074) }},
+        { { static_cast<double>(-1.9561377367172441e-13), static_cast<double>(-1.0000000000001956), static_cast<double>(-0.53720525559037924), SC_(0.898314630992646771749564140770704893561753597) }},
+        { { static_cast<double>(5.1851756946064858e-12), static_cast<double>(-0.99999999999481481), static_cast<double>(-774.06985878944397), SC_(1.91306610467163858324476828831735612399803649e-06) }},
+        { { static_cast<double>(-5.1851756946064858e-12), static_cast<double>(-1.0000000000051852), static_cast<double>(-774.06985878944397), SC_(1.91306610479516297551035931150910859922270467e-06) }},
+
+        {{ static_cast<double>(4.782769898853794e-15), static_cast<double>(1.0000000000000049), static_cast<double>(43.289540141820908), SC_(715.678254892476818206948251991084031658534788) }},
+        { { static_cast<double>(-4.782769898853794e-15), static_cast<double>(0.99999999999999523), static_cast<double>(43.289540141820908), SC_(-713.67825489247727251051792450091274703212426) }},
+        { { static_cast<double>(4.782769898853794e-15), static_cast<double>(0.50000000000000477), static_cast<double>(43.289540141820908), SC_(8235.578376364917373771471380274179857713986) }},
+        { { static_cast<double>(-4.782769898853794e-15), static_cast<double>(0.49999999999999523), static_cast<double>(43.289540141820908), SC_(-8233.57837636502669085205930058992320862281194) }},
+        { { static_cast<double>(4.782769898853794e-15), static_cast<double>(-0.49999999999999523), static_cast<double>(43.289540141820908), SC_(-696269.800378137841948029488304613132151506346) }},
+        { { static_cast<double>(-4.782769898853794e-15), static_cast<double>(-0.50000000000000477), static_cast<double>(43.289540141820908), SC_(696271.8003781336298001417038674968935893361) }},
+        { { static_cast<double>(8.1104991963343309e-05), static_cast<double>(-0.99991889500803666), static_cast<double>(-289.12455415725708), SC_(7.89625448009377635153307897651433007437615965e-124) }},
+        { { static_cast<double>(-8.1104991963343309e-05), static_cast<double>(-1.0000811049919633), static_cast<double>(-289.12455415725708), SC_(7.8949781467741574268884621364833028722017032e-124) }},
+
+         {{ static_cast<double>(-1.98018241448205767), static_cast<double>(1.98450573845762079), static_cast<double>(54.4977916804564302), SC_(2972026581564772.790187123046255523239732028) }},
+
+         { { static_cast<double>(-7.8238229420435346e-05), static_cast<double>(-0.50007823822942044), static_cast<double>(-1896.0561106204987), SC_(1.00058778866237037053151236215058095904086972) }},
+
+         // Unexpected high error : 2.48268e+91 Found : -9.61305e+268 Expected : -1.74382e+193
+         { { static_cast<double>(5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(-1.74381782591884817018404492963109914357365958e+193) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -9.61305077326281580724540507004198316499661687e+268 Expected : 1.74381782591870724567837900957146707932623893e+193
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(1.74381782591870734495565763481520223752372107e+193) }},
+         //Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was - 13497.312248525042
+         { { static_cast<double>(-0.00023636552788275367), static_cast<double>(0.49976363447211725), static_cast<double>(-55.448519088327885), SC_(1.00141219419064760011631555641142295011268795) }},
+         // Unexpected exception: Error in function boost::math::hypergeometric_pFq<long double>: Cancellation is so severe that no bits in the reuslt are correct, last result was -13497.312248525042
+         {{ static_cast<double>(-0.00023636552788275367), static_cast<double>(-0.50023636552788275), static_cast<double>(-55.448519088327885), SC_(1.00093463146763986302362749764017215184711625) }},
+         // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was - 1.3871133003351527e+47
+         { { static_cast<double>(-1.6548533913638905e-10), static_cast<double>(0.49999999983451465), static_cast<double>(-169.20843148231506), SC_(1.00000000117356793527360151094991866549128017) }},
+         // Unexpected exception: Error in function boost::math::hypergeometric_pFq<long double>: Cancellation is so severe that no bits in the reuslt are correct, last result was -1.3871133003351527e+47
+         {{ static_cast<double>(-1.6548533913638905e-10), static_cast<double>(-0.50000000016548529), static_cast<double>(-169.20843148231506), SC_(1.00000000084161045914716192484600809610013447) }},
+         // Unexpected high error : 17825.7893791562892147339880466461181640625 Found : -0.000253525216373273569459012577453904668800532818 Expected : -0.000253525216374277052779756536082800266740377992
+         { { static_cast<double>(-2.0211181797563725e-14), static_cast<double>(-1.0000000000000202), static_cast<double>(-25.653068032115698), SC_(-0.000253525216374277055047768086884693917115210113) }},
+         // Unexpected high error: 1.79769e+308 Found: -inf Expected: -2.63233e-197
+         {{ static_cast<double>(235.44106131792068), static_cast<double>(-2.250966744069919e-13), static_cast<double>(-974.28781914710999), SC_(-2.63233018990922939037251029961929844581862228e-197) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -inf Expected : -3.53316570137147325345279499243339692001224196e+226
+         { { static_cast<double>(-235.44106131792068), static_cast<double>(-2.250966744069919e-13), static_cast<double>(974.28781914710999), SC_(-3.53316570137147343919975579872097464691424847e+226) }},
+         // Unexpected high error : 2.48268e+91 Found : -9.61305e+268 Expected : -1.74382e+193
+         { { static_cast<double>(5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(-1.74381782591884817018404492963109914357365958e+193) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -9.61305077326281580724540507004198316499661687e+268 Expected : 1.74381782591870724567837900957146707932623893e+193
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(-230.70702263712883), static_cast<double>(240.42092034220695), SC_(1.74381782591870734495565763481520223752372107e+193) }},
+         // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(0.499999999999994), static_cast<double>(-240.42092034220695), SC_(1.00000000000004464930530925572237133417488137) }},
+         // Unexpected exception : Error in function boost::math::hypergeometric_pFq<long double> : Cancellation is so severe that no bits in the reuslt are correct, last result was 3.0871891698197084e+73
+         { { static_cast<double>(-5.9981750131794866e-15), static_cast<double>(-0.500000000000006), static_cast<double>(-240.42092034220695), SC_(1.00000000000003262784934420226963147689063665) }},
+         // Unexpected high error : 18466.4373304979599197395145893096923828125 Found : 1.32865406167486480872551302123696359558380209e-08 Expected : 1.3286540616694168317751162703647255236560909e-08
+         { { static_cast<double>(6.772927684190258e-10), static_cast<double>(-0.99999999932270722), static_cast<double>(-483.69576895236969), SC_(1.32865406166941679958876322759721528297325713e-08) }},
+         // Unexpected high error: 1.79769e+308 Found: -nan(ind) Expected: 5.31173e-38
+         {{ static_cast<double>(6763.4877452850342), static_cast<double>(3.6834977949762315e-08), static_cast<double>(-210.20976513624191), SC_(5.31173132667573457976877380237496445775181141e-38) }},
+         // Unexpected high error : 1.79769313486231570814527423731704356798070568e+308 Found : -nan(ind) Expected : 1.04274264437409856500364465136386556989276338e+54
+         { { static_cast<double>(-6763.4877452850342), static_cast<double>(3.6834977949762315e-08), static_cast<double>(210.20976513624191), SC_(1.04274264437409861991447530452939035771734596e+54) }},
+         // Unexpected high error: 3.17219226436543247206316287281668161679098192e+185 Found: 1.00012411189051491970538746574092795078602734e+201 Expected: 14198882672502154063215954231296
+         {{ static_cast<double>(76763.042617797852), static_cast<double>(-21.722407214343548), static_cast<double>(-0.60326536209322512), SC_(14198882672502153010712531896984.8126667697959) }},
+
+         // Unexpected high error: 1.79769313486231570814527423731704356798070568e+308 Found: -2.39521645877904927856730119998375850409649219e+124 Expected: 2.3952164587795095929135248712964248422934629e+124
+         {{ static_cast<double>(-1.8857404964801872e-09), static_cast<double>(-226.52341184020042), static_cast<double>(160.86221924424171), SC_(2.39521645877950946848639784331327651190093595e+124) }},
+         // Unexpected high error : 73027.246763920571538619697093963623046875 Found : 0.000111810625893715248580992382976262433658121154 Expected : 0.000111810625895528292111404111697225971511215903
+         { { static_cast<double>(-7.5220323642510769e-13), static_cast<double>(-1.0000000000007523), static_cast<double>(-17.948102783411741), SC_(0.00011181062589552829441403260197223627311023229) }},
+         // Unexpected high error: 111726.15160028330865316092967987060546875 Found: 0.00856985181006919560786627698689699172973632813 Expected: 0.00856985180985659310282098743982714950107038021
+         {{ static_cast<double>(5.6136137469239618e-15), static_cast<double>(-0.99999999999999434), static_cast<double>(-1989.8742001056671), SC_(0.00856985180985659334965068576732515544478559175) }},
+         // Unexpected high error : 10431.000000023717802832834422588348388671875 Found : 0.99999999999772626324556767940521240234375 Expected : 1.00000000000004241051954068097984418272972107
+         { { static_cast<double>(-5.6136137469239618e-15), static_cast<double>(-0.50000000000000566), static_cast<double>(-1989.8742001056671), SC_(1.00000000000004243096226509338784935080089269) }},
+         // And more from error rate testing:
+         {{ (T)std::ldexp((double)-17079780487168000, -44), (T)std::ldexp((double)9462273998848000, -46), (T)std::ldexp((double)9928190459904000, -48), SC_(7.7358754011357422722746277257633664799903803239195e-72) }},
+         {{ (T)std::ldexp((double)-16238757384192000, -44), (T)std::ldexp((double)17248812490752000, -44), (T)std::ldexp((double)12549255331840000, -49), SC_(4.7354970214088286546733909450191631190700414608975e-10) }},
+         {{ static_cast<double>(-6.8543290253728628), static_cast<double>(607.72073245607316), static_cast<double>(253.26409819535911), SC_(0.024418741483258497441042709681531519387974841769189) }},
+         {{ (T)std::ldexp((double)-15569844699136000, -52), (T)std::ldexp((double)12855440629760000, -44), (T)std::ldexp((double)12563412279296000, -45), SC_(0.097879401070280078654536987721507669872679020399179) }},
+         {{ (T)std::ldexp((double)-13521484578816000, -48), (T)std::ldexp((double)11813014388736000, -46), (T)std::ldexp((double)12736881098752000, -48), SC_(9.1262751214688536871555425535678062558805718157237e-08) }},
+         {{ (T)std::ldexp((double)-13125670141952000, -44), (T)std::ldexp((double)16524914262016000, -44), (T)std::ldexp((double)12270166867968000, -49), SC_(2.0809215788388623809065210261671764534436583442155e-08) }},
+         {{ (T)std::ldexp((double)-9012443406336000, -45), (T)std::ldexp((double)12293411340288000, -46), (T)std::ldexp((double)15162862993408000, -52), SC_(0.00634911418172408957356631082162378669273898042) }},
+         {{ (T)std::ldexp((double)10907252916224000, -46), (T)std::ldexp((double)10872033234944000, -44), (T)std::ldexp((double)14845267734528000, -44), SC_(3.35597139167246486559762237420776458756928282e+152) }},
+         {{ (T)std::ldexp((double)10206210322432000, -44), (T)std::ldexp((double)-16798514331648000, -45), (T)std::ldexp((double)21261284909056000, -48), SC_(3.8172723666678171743099642722909945977624468e+207) }},
+         //{{ (T)std::ldexp((double)9125305942016000, -46), (T)std::ldexp((double)-15115828240384000, -45), (T)std::ldexp((double)9662868946944000, -47), SC_(4175579218962.24466854749118518544065513059142) }},
+         //
+         // These next few are the result of probing the boundary cases in hypergeometric_1F1_negative_b_recurrence_region
+         //
+         {{ (T)std::ldexp((double)10860755407856640, -40), (T)std::ldexp((double)-15992550230222440, -47), (T)std::ldexp((double)11953621172224000, -51), SC_(1.77767974631716859575450750736407296713916302e+278) }},
+         {{ (T)std::ldexp((double)10788477424245760, -40), (T)std::ldexp((double)-17098099940288104, -45), (T)std::ldexp((double)9309879533568000, -50), SC_(3.30879597828065234949261835734767876076477669e+268) }},
+         {{ (T)std::ldexp((double)10938221827471360, -40), (T)std::ldexp((double)-13207828614139084, -46), (T)std::ldexp((double)14276471291904000, -57), SC_(0.00563892736925233243283328398477659041011689599) }},
+         { { (T)std::ldexp((double)10886339790484480, -40), (T)std::ldexp((double)-15267677514969908, -46), (T)std::ldexp((double)11568125313024000, -56), SC_(0.000743168361387021436166355590813648069510383979) } },
+         { { (T)std::ldexp((double)10486036094119936, -40), (T)std::ldexp((double)-15535492710109184, -41), (T)std::ldexp((double)17014293405696000, -45), SC_(-2.61817515260939017621443182916266462279292638e+230) } },
+         { { (T)std::ldexp((double)10485257266971648, -40), (T)std::ldexp((double)-17826711054409018, -35), (T)std::ldexp((double)17138334978048000, -44), SC_(1.70138735099219741672706572460585684251928784e-08) } },
+         { { (T)std::ldexp((double)10485122560373760, -40), (T)std::ldexp((double)-11098279821997376, -39), (T)std::ldexp((double)16925852270592000, -45), SC_(9.77378642649349178995585980824930703376759021e-98) } },
+         { { (T)std::ldexp((double)10485292967829248, -40), (T)std::ldexp((double)-14859721380002656, -35), (T)std::ldexp((double)13729956970496000, -44), SC_(3.41094899910311302761937103011397882987669395e-08) } },
+         { { (T)std::ldexp((double)10485037389193216, -40), (T)std::ldexp((double)-10840488483391544, -35), (T)std::ldexp((double)17577061875712000, -45), SC_(2.8030884395368690164859926372380406504460219e-07) } },
+           //
+           // Negative a and b worst cases:
+        { { (T)std::ldexp((double)-9281686323200000, -44), (T)std::ldexp((double)-14062138056704000, -44), (T)std::ldexp((double)13563284652032000, -44), SC_(2.8338102961174890442403751063892055396228341374378e+265) } },
+        { { (T)std::ldexp((double)-17049048150016000, -44), (T)std::ldexp((double)-16971363917824000, -45), (T)std::ldexp((double)11759598960640000, -49), SC_(4636596575297708282.1539119952275597833292408543916) }},
+        { { (T)std::ldexp((double)-14233964060672000, -45), (T)std::ldexp((double)-12648356216832000, -47), (T)std::ldexp((double)9597206757376000, -46), SC_(-1.2995296554447445191533190670521132012426135496934e+104) }},
+        { { (T)std::ldexp((double)-16705334214656000, -45), (T)std::ldexp((double)-15447756718080000, -46), (T)std::ldexp((double)16395884134400000, -47), SC_(5.4068014134661635929301319845768046995946557071618e+113) }},
+        { { (T)std::ldexp((double)-13991530405888000, -45), (T)std::ldexp((double)-10196587347968000, -46), (T)std::ldexp((double)13331347734528000, -46), SC_(1.2861275297661534781908508971693782447411136476694e+138) }},
+        { { (T)std::ldexp((double)-15134950760448000, -45), (T)std::ldexp((double)-14587193786368000, -48), (T)std::ldexp((double)17022855921664000, -46), SC_(-8.8168904087758007346518546320759101059296394741359e+115) }},
+        { { (T)std::ldexp((double)-14854672039936000, -45), (T)std::ldexp((double)-10436558200832000, -45), (T)std::ldexp((double)11370918969344000, -47), SC_(8.8553524727253411744552846056891456360191660433059e+54) } },
+        { { (T)std::ldexp((double)-16711069286400000, -46), (T)std::ldexp((double)-14809815056384000, -46), (T)std::ldexp((double)10469312954368000, -47), SC_(50343352353398198766339890377687038177.388095267191) } },
+        { { (T)std::ldexp((double)-15026786402304000, -45), (T)std::ldexp((double)-16687356968960000, -46), (T)std::ldexp((double)14895621603328000, -47), SC_(2.8532956042460265690059969666558072704044483623242e+95) } },
+        { { (T)std::ldexp((double)-15519073435648000, -45), (T)std::ldexp((double)-14162009718784000, -45), (T)std::ldexp((double)9997818855424000, -48), SC_(95767987018108517.763999577428194082282035178055037) } },
+        { { (T)std::ldexp((double)-15317481275392000, -46), (T)std::ldexp((double)-16531865931776000, -44), (T)std::ldexp((double)17586268880896000, -45), SC_(1.4701248047083724279783071194324315286789986738882e+104) }},
+        { { (T)std::ldexp((double)-11335669673984000, -44), (T)std::ldexp((double)-13146047094784000, -44), (T)std::ldexp((double)13671437864960000, -44), SC_(-2.1887607284987089539904337941443591993019781369247e+288) }},
+        { { (T)std::ldexp((double)-16877985234944000, -46), (T)std::ldexp((double)-14384006086656000, -46), (T)std::ldexp((double)9074349342720000, -47), SC_(15376193613462463541358751744530105.412429016705833) }},
+        { { (T)std::ldexp((double)-9751199809536000, -45), (T)std::ldexp((double)-17654191685632000, -47), (T)std::ldexp((double)10587451850752000, -47), SC_(-1.9601415510439595625538337964298353914980331018955e+68) }},
+        { { (T)std::ldexp((double)-15233620754432000, -45), (T)std::ldexp((double)-12708283072512000, -46), (T)std::ldexp((double)10255461007360000, -46), SC_(-5.4344106361679075861859567858016187271235441673635e+125) }},
+        { { (T)std::ldexp((double)-11241354149888000, -45), (T)std::ldexp((double)-9580579905536000, -45), (T)std::ldexp((double)12224976846848000, -47), SC_(12046856548470067405870726490464935201150430438.035) }},
+   } };
+   static const boost::array<boost::array<T, 4>, 2> hypergeometric_1F1_big_bugs = { {
+#if DBL_MAX_EXP == LDBL_MAX_EXP
+         {{ static_cast<double>(7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), BOOST_MATH_HUGE_CONSTANT(T, 1000, 4.33129800901478785957996719992774682013355926e+668) }},
+         {{ static_cast<double>(-7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), BOOST_MATH_HUGE_CONSTANT(T, 1000, -4.3248750673398590673783317624407455467680038e+668) }},
+#else
+   { { static_cast<double>(7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), SC_(4.33129800901478785957996719992774682013355926e+668) } },
+   { { static_cast<double>(-7.8238229420435346e-05), static_cast<double>(-5485.3222503662109), static_cast<double>(1896.0561106204987), SC_(-4.3248750673398590673783317624407455467680038e+668) } },
+#endif
+   } };
+   do_test_1F1<T>(hypergeometric_1F1_bugs, type_name, "Bug cases");
+   if(std::numeric_limits<T>::max_exponent10 > 800)
+      do_test_1F1<T>(hypergeometric_1F1_big_bugs, type_name, "Bug cases - oversized");
+   else
+   {
+      for (unsigned i = 0; i < hypergeometric_1F1_big_bugs.size(); ++i)
+      {
+         T val = boost::math::hypergeometric_1F1(hypergeometric_1F1_big_bugs[i][0], hypergeometric_1F1_big_bugs[i][1], hypergeometric_1F1_big_bugs[i][2]);
+         BOOST_CHECK((boost::math::isinf)(val));
+      }
+   }
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+   test_spots2(z, type_name);
+   //
+   // Test ranges that are limited to double precision, these contain test cases
+   // which require full double precision for the inputs, so we don't test
+   // at float precision as well as higher precisions:
+   //
+   if (std::numeric_limits<T>::digits10 == std::numeric_limits<double>::digits10)
+      test_spots3(z, type_name);
+#ifdef TEST_UNSOLVED
+   test_spots4(z, type_name);
+#endif
+   test_spots5(z, type_name);
+   //
+   // Try as we might, we can't get better than quad precision on some of these:
+   //
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<double>::digits && std::numeric_limits<T>::digits <= 128)
+      test_spots6(z, type_name);
+}
+
+
+// Tests the Mellin transform formula given here: https://dlmf.nist.gov/13.10, Equation 13.10.10
+template <class Real>
+void test_hypergeometric_mellin_transform()
+{
+   using boost::math::hypergeometric_1F1;
+   using boost::math::quadrature::exp_sinh;
+   using boost::math::tgamma;
+   using std::pow;
+
+   // Constraint: 0 < lambda < a.
+   Real lambda = 0.5;
+   Real a = 1;
+   Real b = 3;
+   auto f = [&](Real t)->Real { return pow(t, lambda - 1)*hypergeometric_1F1(a, b, -t); };
+
+   auto integrator = exp_sinh<double>();
+   Real computed = integrator.integrate(f, boost::math::tools::epsilon<Real>());
+   Real expected = tgamma(b)*tgamma(lambda)*tgamma(a - lambda) / (tgamma(a)*tgamma(b - lambda));
+
+   Real tol = boost::math::tools::epsilon<Real>() * 5;
+   BOOST_CHECK_CLOSE_FRACTION(computed, expected, tol);
+}
+
+
+// Tests the Laplace transform formula given here: https://dlmf.nist.gov/13.10, Equation 13.10.4
+template <class Real>
+void test_hypergeometric_laplace_transform()
+{
+   using boost::math::hypergeometric_1F1;
+   using boost::math::quadrature::exp_sinh;
+   using boost::math::tgamma;
+   using std::pow;
+   using std::exp;
+
+   // Set a = 1 blows up for some reason . . .
+   Real a = -1;
+   Real b = 3;
+   Real z = 1.5;
+   auto f = [&](Real t)->Real { return exp(-z * t)*pow(t, b - 1)*hypergeometric_1F1(a, b, t); };
+
+   auto integrator = exp_sinh<double>();
+   Real computed = integrator.integrate(f, boost::math::tools::epsilon<Real>());
+   Real expected = tgamma(b) / (pow(z, b)*pow(1 - 1 / z, a));
+
+   Real tol = boost::math::tools::epsilon<Real>() * 200;
+   BOOST_CHECK_CLOSE(computed, expected, tol);
+}
diff --git a/src/boost/libs/math/test/test_1F1_log.cpp b/src/boost/libs/math/test/test_1F1_log.cpp
new file mode 100644
index 000000000..550078dbb
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_log.cpp
@@ -0,0 +1,194 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F1_log.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Integer a values",            // test data group
+      ".*", 25000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Large.*",                     // test data group
+      ".*", 500000, 20000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Small.*",                     // test data group
+      ".*", 2000, 200);              // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 12000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 20000000L, 600000L);     // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 1000, 300);              // test function
+
+#if (LDBL_MANT_DIG < DBL_MANT_DIG * 2) && (LDBL_MANT_DIG != DBL_MANT_DIG)
+   //
+   // long double has only a little extra precision and errors may creep
+   // into the double results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 40, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Bug.*",                     // test data group
+      ".*", 300, 50);                 // test function
+
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer a values",                   // test data group
+      ".*", 16000, 600);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Small.*",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                     // test data group
+      ".*", 400000, 8000);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 2200000, 400000);        // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 1500000, 400000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+   test_hypergeometric_mellin_transform<double>();
+   test_hypergeometric_laplace_transform<double>();
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1_log.hpp b/src/boost/libs/math/test/test_1F1_log.hpp
new file mode 100644
index 000000000..52103fc28
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_log.hpp
@@ -0,0 +1,88 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class Real, class T>
+void do_test_1F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::log_hypergeometric_1F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::log_hypergeometric_1F1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "log_hypergeometric_1F1", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_1f1_log_large.ipp"
+
+   do_test_1F1<T>(hypergeometric_1f1_log_large, type_name, "Large random values - log");
+}
+
+template <class T>
+void test_spots2(T, const char* type_name)
+{
+#include "hypergeometric_1f1_log_large_unsolved.ipp"
+
+   do_test_1F1<T>(hypergeometric_1f1_log_large_unsolved, type_name, "Large random values - log - unsolved");
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+#ifdef TEST_UNSOLVED
+   test_spots2(z, type_name);
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1_regularized.cpp b/src/boost/libs/math/test/test_1F1_regularized.cpp
new file mode 100644
index 000000000..0fd12ce1b
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_regularized.cpp
@@ -0,0 +1,194 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_1F1_regularized.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Integer a values",            // test data group
+      ".*", 25000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Large.*",                     // test data group
+      ".*", 500000, 20000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_quad|cpp_bin_float_double_extended",          // test type(s)
+      "Small.*",                     // test data group
+      ".*", 2000, 200);              // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 12000, 800);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 200000000L, 20000000L);     // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 1000, 300);              // test function
+
+#if (LDBL_MANT_DIG < DBL_MANT_DIG * 2) && (LDBL_MANT_DIG != DBL_MANT_DIG)
+   //
+   // long double has only a little extra precision and errors may creep
+   // into the double results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Integer a values",            // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Small.*",                     // test data group
+      ".*", 5, 3);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Large.*",                     // test data group
+      ".*", 100, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      "Bug.*",                     // test data group
+      ".*", 300, 50);                 // test function
+
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer a values",                   // test data group
+      ".*", 16000, 600);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Small.*",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Large.*",                     // test data group
+      ".*", 400000, 8000);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "dec_40",                      // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 2200000, 400000);        // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bug cases.*",                 // test data group
+      ".*", 1500000, 400000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#if !defined(TEST) || (TEST == 1)
+   test_hypergeometric_mellin_transform<double>();
+   test_hypergeometric_laplace_transform<double>();
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_1F1_regularized.hpp b/src/boost/libs/math/test/test_1F1_regularized.hpp
new file mode 100644
index 000000000..7655d4270
--- /dev/null
+++ b/src/boost/libs/math/test/test_1F1_regularized.hpp
@@ -0,0 +1,77 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class Real, class T>
+void do_test_1F1(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1_regularized<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_1F1_regularized;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_1F1_regularized", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_1f1_large_regularized.ipp"
+
+   do_test_1F1<T>(hypergeometric_1f1_large_regularized, type_name, "Large random values - regularized");
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+}
+
diff --git a/src/boost/libs/math/test/test_2F0.cpp b/src/boost/libs/math/test/test_2F0.cpp
new file mode 100644
index 000000000..ed99e45b3
--- /dev/null
+++ b/src/boost/libs/math/test/test_2F0.cpp
@@ -0,0 +1,97 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_2F0.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+   else
+   {
+      largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40";
+   }
+#else
+   largest_type = "(long\\s+)?double|cpp_bin_float_quad|dec_40";
+#endif
+
+   if (boost::math::policies::digits<double, boost::math::policies::policy<> >() != boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         "Random non-integer a2.*",     // test data group
+         ".*", 10, 5);                  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         "a1 = a2 \\+ 0\\.5",           // test data group
+         ".*", 10, 5);                  // test function
+   }
+   
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Random non-integer a2.*",                   // test data group
+      ".*", 9000, 3000);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Integer.*",                   // test data group
+      ".*", 300, 100);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "a1 = a2 \\+ 0\\.5",                   // test data group
+      ".*", 2000, 200);               // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<40> > dec_40;
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+   test_spots(dec_40(), "dec_40");
+}
diff --git a/src/boost/libs/math/test/test_2F0.hpp b/src/boost/libs/math/test/test_2F0.hpp
new file mode 100644
index 000000000..d0cacf9e3
--- /dev/null
+++ b/src/boost/libs/math/test/test_2F0.hpp
@@ -0,0 +1,102 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_2F0.hpp>
+
+template <class Real, class T>
+void do_test_2F0(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hypergeometric_0F1<value_type, value_type>;
+#else
+   pg funcp = boost::math::hypergeometric_2F0;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric_2F0 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_0F1", test_name);
+   std::cout << std::endl;
+}
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class T>
+void test_spots1(T, const char* type_name)
+{
+#include "hypergeometric_2F0.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0, type_name, "Random non-integer a2, |z| < 1");
+
+#include "hypergeometric_2F0_large_z.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0_large_z, type_name, "Random non-integer a2, |z| > 1");
+}
+
+template <class T>
+void test_spots2(T, const char* type_name)
+{
+#include "hypergeometric_2F0_integer_a2.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0_integer_a2, type_name, "Integer a2, |z| > 1");
+
+#include "hypergeometric_2F0_half.ipp"
+
+   do_test_2F0<T>(hypergeometric_2F0_half, type_name, "a1 = a2 + 0.5");
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots1(z, type_name);
+   test_spots2(z, type_name);
+
+   T a1 = 1;
+   T a2 = 0.1f;
+   z = -1;
+   if (std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+      z = 1;
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+      a2 = -2.4f;
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+      a1 = -0.5f;
+      BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
+   }
+}
diff --git a/src/boost/libs/math/test/test_airy.cpp b/src/boost/libs/math/test/test_airy.cpp
new file mode 100644
index 000000000..aba34665f
--- /dev/null
+++ b/src/boost/libs/math/test/test_airy.cpp
@@ -0,0 +1,87 @@
+//  Copyright John Maddock 2012
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/array.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756 4127) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Airy functions.  
+// These are basically just a few spot tests, since the underlying implementation
+// is the same as for the Bessel functions.
+//
+template <class T>
+void test_airy(T, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+
+   static const boost::array<boost::array<T, 5>, 8> data = 
+   {{
+      // Values are x, Ai, Bi, Ai', Bi'.
+      // Calculated from functions.wolfram.com.
+      {{ 0, static_cast<T>(0.355028053887817239260063186004183176397979174199177240583327L), static_cast<T>(0.614926627446000735150922369093613553594728188648596505040879L), static_cast<T>(-0.258819403792806798405183560189203963479091138354934582210002L), static_cast<T>(0.448288357353826357914823710398828390866226799212262061082809L) }},
+      {{ 2, static_cast<T>(0.0349241304232743791353220807918076097610602138975832071886699L), static_cast<T>(3.29809499997821471028060442522345242200397596340362078768292L), static_cast<T>(-0.0530903844336536317039991858787034912485609900458779926304030L), static_cast<T>(4.10068204993288988938203407917793529439024461377513711983771L) }},
+      {{ 3.5, static_cast<T>(0.00258409878698963496327714478330027845019631096464789073425468L), static_cast<T>(33.0555067546114794142573129819217946861266278143724855010951L), static_cast<T>(-0.00500441396795258283203024967883836790716278377542974739809987L), static_cast<T>(59.1643195813609870345742121795224602529063343063320217229383L) }},
+      {{ 30.5, static_cast<T>(2.04253461666926015963302258449952681287194929082634196439857e-50L), static_cast<T>(1.41092256201712698413071856671990267572381736486242769613348e48L), static_cast<T>(-1.12969466271996376602221721397236452019046628449363103927812e-49L), static_cast<T>(7.78046629440950280615411694840600772185863288897663300007879e48L) }},
+      {{ -2, static_cast<T>(0.227407428201685575991924436037873799460772225417096716495790L), static_cast<T>(-0.412302587956398488083234054611461042034534834472404728823877L), static_cast<T>(0.618259020741691041406264291332475282915777945124146942159898L), static_cast<T>(0.278795166921169522685097569410983241403000593451631000239732L) }},
+      {{ -3.5, static_cast<T>(-0.375533823140431911934396951580170239543268576378264063902563L), static_cast<T>(0.168939837481058611843442769540943269911562243926304070915824L), static_cast<T>(-0.343443433454048146287937374098698857094194220958713294264017L), static_cast<T>(-0.693116284907288801752443612670580462699702668014978495343697L) }},
+      {{ -30.25, static_cast<T>(-0.236900428491559731119806902381433570300271552218956227857722L), static_cast<T>(0.0418614989839147441219283537268101850442118139150748075124111L), static_cast<T>(-0.232197332372689274917364138870840123428255785603863926579897L), static_cast<T>(-1.30261375952554697768880873095691151213006925411329957440342L) }},
+      {{ -300.5, static_cast<T>(-0.117584304761702008955433457721670950077867326839023449546057L), static_cast<T>(0.0673518035440918806545676478730240310819758211028871823560384), static_cast<T>(-1.16763702262473888724431076711846459336993902544926162874376L), static_cast<T>(-2.03826035550300900666977975504950803669545593208969273694133L) }},
+   }};
+
+   T tol = boost::math::tools::epsilon<T>() * 800;
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(data[i][1], boost::math::airy_ai(data[i][0]), tol);
+      if(boost::math::isfinite(data[i][2]))
+         BOOST_CHECK_CLOSE_FRACTION(data[i][2], boost::math::airy_bi(data[i][0]), tol);
+      BOOST_CHECK_CLOSE_FRACTION(data[i][3], boost::math::airy_ai_prime(data[i][0]), tol);
+      if(boost::math::isfinite(data[i][4]))
+         BOOST_CHECK_CLOSE_FRACTION(data[i][4], boost::math::airy_bi_prime(data[i][0]), tol);
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_airy(0.1F, "float");
+#endif
+   test_airy(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_airy(0.1L, "long double");
+   test_airy(boost::math::concepts::real_concept(0), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_archive.cpp b/src/boost/libs/math/test/test_archive.cpp
new file mode 100644
index 000000000..b73773be3
--- /dev/null
+++ b/src/boost/libs/math/test/test_archive.cpp
@@ -0,0 +1,239 @@
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow - filename changes for boost-trunk.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#ifdef _MSC_VER
+//#   pragma warning(disable : 4511 4512 4702)
+//#endif
+
+#define BOOST_TEST_MAIN
+
+#include <limits>
+#include <locale>
+#include <sstream>
+
+#include <boost/archive/text_iarchive.hpp>
+#include <boost/archive/text_oarchive.hpp>
+#include <boost/archive/text_wiarchive.hpp>
+#include <boost/archive/text_woarchive.hpp>
+#include <boost/archive/codecvt_null.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+
+#include "almost_equal.ipp"
+
+namespace {
+
+// The anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope.
+
+using namespace boost::archive;
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using (boost::math::isnan)(;
+
+//------------------------------------------------------------------------------
+
+void archive_basic_test();
+void archive_put_trap_test();
+void archive_get_trap_test();
+
+BOOST_AUTO_TEST_CASE(archive_test)
+{
+    archive_basic_test();
+    archive_put_trap_test();
+    archive_get_trap_test();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_basic_test_impl();
+
+void archive_basic_test()
+{
+    archive_basic_test_impl<char, text_oarchive, text_iarchive, float>();
+    archive_basic_test_impl<char, text_oarchive, text_iarchive, double>();
+    archive_basic_test_impl<
+        char, text_oarchive, text_iarchive, long double>();
+    archive_basic_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, float>();
+    archive_basic_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, double>();
+    archive_basic_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, long double>();
+}
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_basic_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+      return;
+    std::locale default_locale(std::locale::classic(),
+        new boost::archive::codecvt_null<CharType>);
+    std::locale tmp_locale(default_locale, new nonfinite_num_put<CharType>);
+    std::locale my_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(my_locale);
+
+    ValType a1 = static_cast<ValType>(0);
+    ValType a2 = static_cast<ValType>(2307.35);
+    ValType a3 = std::numeric_limits<ValType>::infinity();
+    BOOST_CHECK((boost::math::isinf)(a3));
+    ValType a4 = std::numeric_limits<ValType>::quiet_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a4));
+    ValType a5 = std::numeric_limits<ValType>::signaling_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a5));
+    ValType a6 = (changesign)(static_cast<ValType>(0));
+    ValType a7 = static_cast<ValType>(-57.13);
+    ValType a8 = -std::numeric_limits<ValType>::infinity();
+    BOOST_CHECK((boost::math::isinf)(a8));
+    ValType a9 = -std::numeric_limits<ValType>::quiet_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a9));
+    ValType a10 = -std::numeric_limits<ValType>::signaling_NaN();
+    BOOST_CHECK(((boost::math::isnan)()(a10));
+
+    {
+        OArchiveType oa(ss, no_codecvt);
+        oa & a1 & a2 & a3 & a4 & a5 & a6 & a7 & a8 & a9 & a10;
+    }
+
+    ValType b1, b2, b3, b4, b5, b6, b7, b8, b9, b10;
+
+    {
+        IArchiveType ia(ss, no_codecvt);
+        ia & b1 & b2 & b3 & b4 & b5 & b6 & b7 & b8 & b9 & b10;
+    }
+
+    BOOST_CHECK(a1 == b1);
+    BOOST_CHECK(almost_equal(a2, b2));
+    BOOST_CHECK(a3 == b3);
+    BOOST_CHECK((isnan)(b4));
+    BOOST_CHECK(!(signbit)(b4));
+    BOOST_CHECK((isnan)(b5));
+    BOOST_CHECK(!(signbit)(b5));
+    BOOST_CHECK(a6 == b6);
+    BOOST_CHECK(almost_equal(a7, b7));
+    BOOST_CHECK(a8 == b8);
+    BOOST_CHECK((isnan)(b9));
+    BOOST_CHECK((signbit)(b9));
+    BOOST_CHECK((isnan)(b10));
+    BOOST_CHECK((signbit)(b10));
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_put_trap_test_impl();
+
+void archive_put_trap_test()
+{
+    archive_put_trap_test_impl<char, text_oarchive, text_iarchive, float>();
+    archive_put_trap_test_impl<char, text_oarchive, text_iarchive, double>();
+    archive_put_trap_test_impl<
+        char, text_oarchive, text_iarchive, long double>();
+    archive_put_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, float>();
+    archive_put_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, double>();
+    archive_put_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, long double>();
+}
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_put_trap_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+      return;
+
+    std::locale default_locale(std::locale::classic(),
+        new boost::archive::codecvt_null<CharType>);
+    std::locale new_locale(default_locale,
+        new nonfinite_num_put<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.exceptions(std::ios_base::failbit | std::ios_base::badbit);
+    ss.imbue(new_locale);
+
+    ValType a = std::numeric_limits<ValType>::infinity();
+
+    OArchiveType oa(ss, no_codecvt);
+
+    try {
+        oa & a;
+    }
+    catch(std::exception&) {
+    ss.clear();
+        return;
+    }
+
+    BOOST_CHECK(false);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_get_trap_test_impl();
+
+void archive_get_trap_test()
+{
+    archive_get_trap_test_impl<char, text_oarchive, text_iarchive, float>();
+    archive_get_trap_test_impl<char, text_oarchive, text_iarchive, double>();
+    archive_get_trap_test_impl<
+        char, text_oarchive, text_iarchive, long double>();
+    archive_get_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, float>();
+    archive_get_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, double>();
+    archive_get_trap_test_impl<
+        wchar_t, text_woarchive, text_wiarchive, long double>();
+}
+
+template<class CharType, class OArchiveType, class IArchiveType, class ValType>
+void archive_get_trap_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+     return;
+
+    std::locale default_locale(std::locale::classic(),
+        new boost::archive::codecvt_null<CharType>);
+    std::locale tmp_locale(default_locale, new nonfinite_num_put<CharType>);
+    std::locale my_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.exceptions(std::ios_base::failbit);
+    ss.imbue(my_locale);
+
+    ValType a = -std::numeric_limits<ValType>::quiet_NaN();
+
+    {
+        OArchiveType oa(ss, no_codecvt);
+        oa & a;
+    }
+
+    ValType b;
+    {
+        IArchiveType ia(ss, no_codecvt);
+        try {
+            ia & b;
+        }
+        catch(std::exception&) {
+            return;
+        }
+    }
+
+    BOOST_CHECK(false);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
diff --git a/src/boost/libs/math/test/test_arcsine.cpp b/src/boost/libs/math/test/test_arcsine.cpp
new file mode 100644
index 000000000..d537d941a
--- /dev/null
+++ b/src/boost/libs/math/test/test_arcsine.cpp
@@ -0,0 +1,605 @@
+// test_arcsine_dist.cpp
+
+// Copyright John Maddock 2014.
+// Copyright  Paul A. Bristow 2014.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests for the arcsine Distribution.
+
+#include <pch.hpp> // Must be 1st include, and include_directory /libs/math/src/tr1/ is needed.
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // Conditional expression is constant.
+#  pragma warning (disable : 4996) // POSIX name for this item is deprecated.
+#  pragma warning (disable : 4224) // Nonstandard extension used : formal parameter 'arg' was previously defined as a type.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept.
+using ::boost::math::concepts::real_concept;
+#include <boost/math/tools/test.hpp> // for real_concept.
+
+#include <boost/math/distributions/arcsine.hpp> // for arcsine_distribution.
+using boost::math::arcsine_distribution;
+
+#include <boost/math/constants/constants.hpp>
+using boost::math::constants::one_div_root_two;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+
+#include <cmath>
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+
+template <class RealType>
+void test_ignore_policy(RealType)
+{
+  // Check on returns when errors are ignored.
+  if ((typeid(RealType) != typeid(boost::math::concepts::real_concept))
+    && std::numeric_limits<RealType>::has_infinity
+    && std::numeric_limits<RealType>::has_quiet_NaN
+    )
+  { // Ordinary floats only.
+
+    using namespace boost::math;
+    //   RealType inf = std::numeric_limits<RealType>::infinity();
+    RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+    using boost::math::policies::policy;
+    // Types of error whose action can be altered by policies:.
+    //using boost::math::policies::evaluation_error;
+    //using boost::math::policies::domain_error;
+    //using boost::math::policies::overflow_error;
+    //using boost::math::policies::underflow_error;
+    //using boost::math::policies::domain_error;
+    //using boost::math::policies::pole_error;
+
+    //// Actions on error (in enum error_policy_type):
+    //using boost::math::policies::errno_on_error;
+    //using boost::math::policies::ignore_error;
+    //using boost::math::policies::throw_on_error;
+    //using boost::math::policies::denorm_error;
+    //using boost::math::policies::pole_error;
+    //using boost::math::policies::user_error;
+
+    typedef policy<
+      boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+      boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+      boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+      boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+      boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+    > ignore_all_policy;
+
+    typedef arcsine_distribution<RealType, ignore_all_policy> ignore_error_arcsine;
+
+    // Only test NaN and infinity if type has these features (realconcept returns zero).
+    // Integers are always converted to RealType,
+    // others requires static cast to RealType from long double.
+
+    if (std::numeric_limits<RealType>::has_quiet_NaN)
+    {
+      // Demonstrate output of PDF with infinity,
+      // but string output from NaN is platform dependent, so can't use BOOST_CHECK.
+      if (std::numeric_limits<RealType>::has_infinity)
+      {
+        //std::cout << "pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) = " << pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) << std::endl;
+        //  Outputs:  pdf(ignore_error_arcsine(-1, +1), std::numeric_limits<RealType>::infinity()) = 1.#QNAN
+      }
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), std::numeric_limits<RealType>::infinity()))); // x == infinity
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), std::numeric_limits<RealType>::infinity()))); // x == infinity
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), static_cast <RealType>(-2))));  // x < xmin
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), static_cast <RealType>(-2))));  // x < xmin
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(0, 1), static_cast <RealType>(+2))));  // x > x_max
+      BOOST_CHECK((boost::math::isnan)(pdf(ignore_error_arcsine(-1, 1), static_cast <RealType>(+2)))); // x > x_max
+
+      // Mean
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(-nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(+nan, 0))));
+
+      if (std::numeric_limits<RealType>::has_infinity)
+      {
+        //BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(-std::numeric_limits<RealType>::infinity(), 0))));
+        // std::cout << "arcsine(-inf,+1) mean " << mean(ignore_error_arcsine(-std::numeric_limits<RealType>::infinity())) << std::endl;
+        //BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(std::numeric_limits<RealType>::infinity(), 0))));
+      }
+
+      // NaN constructors.
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(2, nan))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(nan, nan))));
+      BOOST_CHECK((boost::math::isnan)(mean(ignore_error_arcsine(nan, 2))));
+
+      // Variance
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(1, nan))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(2, nan))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(static_cast<RealType>(1.7L), 0))));
+      BOOST_CHECK((boost::math::isnan)(variance(ignore_error_arcsine(2, 0))));
+
+      // Skewness
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_arcsine(3, 0))));
+
+      // Kurtosis
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(3, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_arcsine(4, 0))));
+
+      // Kurtosis excess
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(nan, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(-1, nan))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(0, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(1, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(2, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(3, 0))));
+      BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_arcsine(4, 0))));
+    } // has_quiet_NaN
+
+    //
+    BOOST_CHECK(boost::math::isfinite(mean(ignore_error_arcsine(0, std::numeric_limits<RealType>::epsilon()))));
+
+    check_support<arcsine_distribution<RealType> >(arcsine_distribution<RealType>(0, 1));
+  } // ordinary floats.
+} // template <class RealType> void test_ignore_policy(RealType)
+
+
+template <class RealType>
+RealType informax()
+{ //! \return Infinity else max_value.
+  return ((std::numeric_limits<RealType>::has_infinity) ?
+     std::numeric_limits<RealType>::infinity() : boost::math::tools::max_value<RealType>());
+}
+
+template <class RealType>
+void test_spot(
+  RealType a,    // alpha a or lo or x_min
+  RealType b,    // arcsine b or hi or x_maz
+  RealType x,    // Probability
+  RealType P,    // CDF of arcsine(a, b)
+  RealType Q,    // Complement of CDF of arcsine (a, b)
+  RealType tol)  // Test tolerance.
+{
+  boost::math::arcsine_distribution<RealType> anarcsine(a, b);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(anarcsine, x), P, tol);
+  if ((P < 0.99) && (Q < 0.99))
+  { // We can only check this if P is not too close to 1,
+    // so that we can guarantee that Q is free of error,
+    // (and similarly for Q).
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(anarcsine, x)), Q, tol);
+    if (x != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(anarcsine, P), x, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if ((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(anarcsine, P) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    } // if k
+    if (x != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(quantile(complement(anarcsine, Q)), x, tol * 10);
+    }
+    else
+    {  // Just check quantile is very small:
+      if ((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+      { // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(complement(anarcsine, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    } // if x
+  }
+} // template <class RealType> void test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+    // Basic sanity checks with 'known good' values.
+    // so set tolerance to a few eps expressed as a fraction, or
+    // few eps of type double expressed as a fraction,
+    // whichever is the larger.
+
+    RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon())); // 0 if real_concept.
+
+    tolerance *= 2; // Note: NO * 100 because tolerance is a fraction, NOT %.
+    cout << "tolerance = " << tolerance << endl;
+
+    using boost::math::arcsine_distribution;
+    using  ::boost::math::cdf;
+    using  ::boost::math::pdf;
+    using  ::boost::math::complement;
+    using  ::boost::math::quantile;
+
+    // Basic sanity-check spot values.
+
+    // Test values from Wolfram alpha, for example:
+    // http://www.wolframalpha.com/input/?i=+N%5BPDF%5Barcsinedistribution%5B0%2C+1%5D%2C+0.5%5D%2C+50%5D
+    // N[PDF[arcsinedistribution[0, 1], 0.5], 50]
+    // 0.63661977236758134307553505349005744813783858296183
+
+    arcsine_distribution<RealType> arcsine_01; // (Our) Standard arcsine.
+    // Member functions.
+    BOOST_CHECK_EQUAL(arcsine_01.x_min(), 0);
+    BOOST_CHECK_EQUAL(arcsine_01.x_max(), 1);
+
+    // Derived functions.
+    BOOST_CHECK_EQUAL(mean(arcsine_01), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(arcsine_01), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(arcsine_01), 0.125); // 1/8 = 0.125
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(arcsine_01), one_div_root_two<double>() / 2, tolerance); // 1/ sqrt(s) = 0.35355339059327379
+    BOOST_CHECK_EQUAL(skewness(arcsine_01), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(arcsine_01), -1.5); // 3/2
+    BOOST_CHECK_EQUAL(support(arcsine_01).first, 0); //
+    BOOST_CHECK_EQUAL(range(arcsine_01).first, 0); //
+    BOOST_MATH_CHECK_THROW(mode(arcsine_01), std::domain_error); //  Two modes at x_min and x_max, so throw instead.
+
+    // PDF
+    // pdf of x = 1/4 is same as reflected value at x = 3/4.
+    // N[PDF[arcsinedistribution[0, 1], 0.25], 50]
+    // N[PDF[arcsinedistribution[0, 1], 0.75], 50]
+    // 0.73510519389572273268176866441729258852984864048885
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.000001), static_cast<RealType>(318.31004533885312973989414360099118178698415543136L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.000005), static_cast<RealType>(142.35286456604168061345817902422241622116338936911L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.05), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.5), static_cast<RealType>(0.63661977236758134307553505349005744813783858296183L), tolerance);
+    // Note loss of significance when x is near x_max.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.95), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 8 * tolerance); // Less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.999995), static_cast<RealType>(142.35286456604168061345817902422241622116338936911L), 50000 * tolerance); // Much less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, 0.999999), static_cast<RealType>(318.31004533885312973989414360099118178698415543136L), 100000 * tolerance);// Even less accurate.
+
+    // Extreme x.
+    if (std::numeric_limits<RealType>::has_infinity)
+    { //
+      BOOST_CHECK_EQUAL(pdf(arcsine_01, 0), informax<RealType>()); //
+      BOOST_CHECK_EQUAL(pdf(arcsine_01, 1), informax<RealType>()); //
+    }
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, tolerance),
+      1 /(sqrt(tolerance) * boost::math::constants::pi<RealType>()), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(pdf(arcsine_01, static_cast<RealType>(1) - tolerance),
+      1 /(sqrt(tolerance) * boost::math::constants::pi<RealType>()), 2 * tolerance); //
+
+    // CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.000001), static_cast<RealType>(0.00063661987847092448418377367957384866092127786060574L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.000005), static_cast<RealType>(0.0014235262731079289297302426454125318201831474507326L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.05), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.5), static_cast<RealType>(0.5L), tolerance); // Exact.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.95), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), 2 * tolerance);
+    // Values near unity should use the cdf complemented for better accuracy,
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.999995), static_cast<RealType>(0.99857647372689207107026975735458746817981685254927L), 100 * tolerance); // Less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(arcsine_01, 0.999999), static_cast<RealType>(0.99936338012152907551581622632042615133907872213939L), 1000 * tolerance); // Less accurate.
+
+    //  Complement CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.000001)), static_cast<RealType>(1 - 0.00063661987847092448418377367957384866092127786060574L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.000001)), static_cast<RealType>(0.99936338012152907551581622632043L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.05)), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.5)), static_cast<RealType>(0.5L), tolerance); // Exact.
+    // Some values near unity when complement is expected to be less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.95)), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), 8 * tolerance); // 2 for asin
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(arcsine_01, 0.999999)), static_cast<RealType>(1 - 0.99936338012152907551581622632042615133907872213939L), 1000000 * tolerance); // 10000 for asin, 1000000 for acos.
+
+    // Quantile.
+
+    // Check 1st, 2nd and 3rd quartiles.
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.25L)), static_cast<RealType>(0.14644660940672624L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.5L)), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.75L)), static_cast<RealType>(0.85355339059327373L), tolerance);
+
+    // N[CDF[arcsinedistribution[0, 1], 0.05], 50]  == 0.14356629312870627075094188477505571882161519989741
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L)), 0.05, tolerance);
+
+    // Quantile of complement.
+    // N[1-CDF[arcsinedistribution[0, 1], 0.05], 50] == 0.85643370687129372924905811522494428117838480010259
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L))), 0.05, tolerance * 2);
+    // N[sin^2[0.75 * pi/2],50] == 0.85355339059327376220042218105242451964241796884424
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.25L))), static_cast<RealType>(0.85355339059327376220042218105242451964241796884424L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.5L))), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(arcsine_01, static_cast<RealType>(0.75L))), static_cast<RealType>(0.14644660940672623779957781894757548035758203115576L), 2 * tolerance); // Less accurate.
+
+    // N[CDF[arcsinedistribution[0, 1], 0.25], 5
+    // 0.33333333333333333333333333333333333333333333333333
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(1) / 3), static_cast<RealType>(0.25L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(0.5L)), 0.5, 2 * tolerance);  // probability = 0.5, x = 0.5
+    BOOST_CHECK_CLOSE_FRACTION(quantile(arcsine_01, static_cast<RealType>(2) / 3), static_cast<RealType>(0.75L), tolerance);
+
+    // Arcsine(-1, +1)    xmin = -1, x_max = +1  symmetric about zero.
+    arcsine_distribution<RealType> as_m11(-1, +1);
+
+    BOOST_CHECK_EQUAL(as_m11.x_min(), -1); //
+    BOOST_CHECK_EQUAL(as_m11.x_max(), +1);
+    BOOST_CHECK_EQUAL(mean(as_m11), 0); //
+    BOOST_CHECK_EQUAL(median(as_m11), 0); //
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(as_m11), one_div_root_two<RealType>(),  tolerance * 2); //
+
+    BOOST_CHECK_EQUAL(variance(as_m11), 0.5); // 1 - (-1) = 2 ^ 2 = 4 /8 = 0.5
+    BOOST_CHECK_EQUAL(skewness(as_m11), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as_m11), -1.5); // 3/2
+
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.05), static_cast<RealType>(0.31870852113797122803869876869296281629727218095644L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.5), static_cast<RealType>(0.36755259694786136634088433220864629426492432024443L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m11, 0.95), static_cast<RealType>(1.0194074882503562519812229448639426942621591013381L), 2 * tolerance); // Less accurate.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.05), static_cast<RealType>(0.51592213323666034437274347433261364289389772737836L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.5), static_cast<RealType>(0.66666666666666666666666666666666666666666666666667L), 2 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m11, 0.95), static_cast<RealType>(0.89891737589574013042121018491729701360300248368629L), tolerance); //  Not less accurate.
+
+    // Quantile
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m11, static_cast<RealType>(1) / 3), -static_cast<RealType>(0.5L), 2 * tolerance); // p = 1/3 x = -0.5
+    BOOST_CHECK_SMALL(quantile(as_m11, static_cast<RealType>(0.5L)), 2 * tolerance);                             // p = 0.5, x = 0
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m11, static_cast<RealType>(2) / 3), +static_cast<RealType>(0.5L), 4 * tolerance);     // p = 2/3, x = +0.5
+
+    //  Loop back tests.
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(0.05), // Random variate  x
+      static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L),  // Complement of CDF Q = 1 - P
+      tolerance); // Test tolerance.
+
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(0.95), // Random variate  x
+      static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L),  // Complement of CDF Q = 1 - P
+      tolerance * 4); // Test tolerance (slightly increased compared to x < 0.5 above).
+
+    test_spot(
+      static_cast<RealType>(0),   // lo or a
+      static_cast<RealType>(1),   // hi or b
+      static_cast<RealType>(static_cast<RealType>(0.5L)), // Random variate  x
+      static_cast<RealType>(static_cast<RealType>(0.5L)), // Probability of result (CDF of arcsine), P
+      static_cast<RealType>(static_cast<RealType>(0.5L)),  // Complement of CDF Q = 1 - P
+      tolerance * 4); // Test tolerance.
+
+    // Arcsine(-2, -1) xmin = -2, x_max = -1  - Asymmetric both negative.
+    arcsine_distribution<RealType> as_m2m1(-2, -1);
+
+    BOOST_CHECK_EQUAL(as_m2m1.x_min(), -2); //
+    BOOST_CHECK_EQUAL(as_m2m1.x_max(), -1);
+    BOOST_CHECK_EQUAL(mean(as_m2m1), -1.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(as_m2m1), -1.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(as_m2m1), 0.125);
+    BOOST_CHECK_EQUAL(skewness(as_m2m1), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as_m2m1), -1.5); // 3/2
+
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.95), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 4 * tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.5), static_cast<RealType>(0.63661977236758134307553505349005744813783858296183L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(pdf(as_m2m1, -1.05), static_cast<RealType>(1.4605059227421865250256574657088244053723856445614L), 4 * tolerance); // Less accurate.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.05), static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.5), static_cast<RealType>(0.5L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cdf(as_m2m1, -1.95), static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L), 8 * tolerance); //  Not much less accurate.
+
+    // Quantile
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L)), -static_cast<RealType>(1.05L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.5L)), -static_cast<RealType>(1.5L), 2 * tolerance);                             //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L)), -static_cast<RealType>(1.95L), 4 * tolerance);     //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(as_m2m1, static_cast<RealType>(0.14356629312870627075094188477505571882161519989741L))), -static_cast<RealType>(1.05L), 2 * tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(as_m2m1, static_cast<RealType>(0.5L)), -static_cast<RealType>(1.5L), 2 * tolerance);                             //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(as_m2m1, static_cast<RealType>(0.85643370687129372924905811522494428117838480010259L))), -static_cast<RealType>(1.95L), 4 * tolerance);
+
+    // Tests that should throw:
+    BOOST_MATH_CHECK_THROW(mode(arcsine_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1))), std::domain_error);
+    // mode is undefined, and must throw domain_error!
+
+
+    BOOST_MATH_CHECK_THROW( // For various bad arguments.
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(+1), static_cast<RealType>(-1)), // min_x > max_x
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(0)), // bad constructor parameters.
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(-1)), // bad constructor parameters.
+      static_cast<RealType>(1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)), // equal constructor parameters.
+      static_cast<RealType>(-1)), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(
+      pdf(
+      arcsine_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1)), // bad x > 1.
+      static_cast<RealType>(999)), std::domain_error);
+
+    // Checks on things that are errors.
+
+    // Construction with 'bad' parameters.
+    BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(+1, -1), std::domain_error); // max < min.
+    BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(+1, 0), std::domain_error);  // max < min.
+
+    arcsine_distribution<> dist;
+    BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+
+    // Various combinations of bad constructor and member function parameters.
+    BOOST_MATH_CHECK_THROW(pdf(boost::math::arcsine_distribution<RealType>(0, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(boost::math::arcsine_distribution<RealType>(-1, 1), +2), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(boost::math::arcsine_distribution<RealType>(1, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(boost::math::arcsine_distribution<RealType>(1, 1), 2), std::domain_error);
+
+    // No longer allow any parameter to be NaN or inf, so all these tests should throw.
+    if (std::numeric_limits<RealType>::has_quiet_NaN)
+    {
+      // Attempt to construct from non-finite parameters should throw.
+      RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(1, nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(nan, 1), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(1, nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(nan, 1), std::domain_error);
+#endif
+
+      arcsine_distribution<RealType> w(RealType(-1), RealType(+1));
+      // NaN parameters to member functions should throw.
+      BOOST_MATH_CHECK_THROW(pdf(w, +nan), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(w, +nan), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(complement(w, +nan)), std::domain_error); // x = + nan
+      BOOST_MATH_CHECK_THROW(quantile(w, +nan), std::domain_error); // p = + nan
+      BOOST_MATH_CHECK_THROW(quantile(complement(w, +nan)), std::domain_error); // p = + nan
+    } // has_quiet_NaN
+
+    if (std::numeric_limits<RealType>::has_infinity)
+    {
+      // Attempt to construct from non-finite should throw.
+      RealType inf = std::numeric_limits<RealType>::infinity();
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(1, inf), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(1, inf), std::domain_error);
+#endif
+      // Infinite parameters to member functions should throw.
+      arcsine_distribution<RealType> w(RealType(0), RealType(1));
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType> w(1, inf), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(arcsine_distribution<RealType>(1, inf), std::domain_error);
+#endif
+      BOOST_MATH_CHECK_THROW(pdf(w, +inf), std::domain_error); // x = inf
+      BOOST_MATH_CHECK_THROW(cdf(w, +inf), std::domain_error); // x = inf
+      BOOST_MATH_CHECK_THROW(cdf(complement(w, +inf)), std::domain_error); // x = + inf
+      BOOST_MATH_CHECK_THROW(quantile(w, +inf), std::domain_error); // p = + inf
+      BOOST_MATH_CHECK_THROW(quantile(complement(w, +inf)), std::domain_error); // p = + inf
+    } // has_infinity
+
+    // Error handling checks:
+    check_out_of_range<boost::math::arcsine_distribution<RealType> >(-1, +1); // (All) valid constructor parameter values.
+    // and range and non-finite.
+
+    test_ignore_policy(static_cast<RealType>(0));
+
+  } // template <class RealType>void test_spots(RealType)
+
+  BOOST_AUTO_TEST_CASE(test_main)
+  {
+    BOOST_MATH_CONTROL_FP;
+
+    // Check that can generate arcsine distribution using convenience method:
+    using boost::math::arcsine;
+
+    arcsine_distribution<> arcsine_01; // Using default RealType double.
+    // Note: NOT arcsine01() - or compiler will assume a function.
+
+    arcsine as; // Using typedef for default standard arcsine.
+
+    //
+    BOOST_CHECK_EQUAL(as.x_min(), 0); //
+    BOOST_CHECK_EQUAL(as.x_max(), 1);
+    BOOST_CHECK_EQUAL(mean(as), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(median(as), 0.5); // 1 / (1 + 1) = 1/2 exactly.
+    BOOST_CHECK_EQUAL(variance(as), 0.125); //0.125
+    BOOST_CHECK_CLOSE_FRACTION(standard_deviation(as), one_div_root_two<double>() / 2, std::numeric_limits<double>::epsilon()); // 0.353553
+    BOOST_CHECK_EQUAL(skewness(as), 0); //
+    BOOST_CHECK_EQUAL(kurtosis_excess(as), -1.5); // 3/2
+    BOOST_CHECK_EQUAL(support(as).first, 0); //
+    BOOST_CHECK_EQUAL(range(as).first, 0); //
+    BOOST_MATH_CHECK_THROW(mode(as), std::domain_error); //  Two modes at x_min and x_max, so throw instead.
+
+    // (Parameter value, arbitrarily zero, only communicates the floating point type).
+    test_spots(0.0F); // Test float.
+    test_spots(0.0); // Test double.
+    #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      test_spots(0.0L); // Test long double.
+      #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+        test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+      #endif
+    #endif
+  /*    */
+  } // BOOST_AUTO_TEST_CASE( test_main )
+
+  /*
+
+
+Microsoft Visual Studio Professional 2013
+Version 12.0.30110.00 Update 1
+
+  1>  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_arcsine.exe"
+  1>  Running 1 test case...
+  1>  Platform: Win32
+  1>  Compiler: Microsoft Visual C++ version 12.0  ???? MSVC says 2013
+  1>  STL     : Dinkumware standard library version 610
+  1>  Boost   : 1.56.0
+
+  Sample Output is:
+
+  1>  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_arcsine.exe"
+  1>  Running 1 test case...
+  1>  Platform: Win32
+  1>  Compiler: Microsoft Visual C++ version 12.0
+  1>  STL     : Dinkumware standard library version 610
+  1>  Boost   : 1.56.0
+  1>  tolerance = 2.38419e-007
+  1>  tolerance = 4.44089e-016
+  1>  tolerance = 4.44089e-016
+  1>  tolerance = 4.44089e-016
+  1>
+  1>  *** No errors detected
+
+  GCC 4.9.1
+
+  Running 1 test case...
+  tolerance = 2.38419e-007
+  tolerance = 4.44089e-016
+  tolerance = 4.44089e-016
+  tolerance = 4.44089e-016
+
+  *** No errors detected
+
+  RUN SUCCESSFUL (total time: 141ms)
+
+  */
diff --git a/src/boost/libs/math/test/test_autodiff.hpp b/src/boost/libs/math/test/test_autodiff.hpp
new file mode 100644
index 000000000..6970102d4
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff.hpp
@@ -0,0 +1,225 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_AUTODIFF_HPP
+#define BOOST_MATH_TEST_AUTODIFF_HPP
+
+#ifndef BOOST_TEST_MODULE
+#define BOOST_TEST_MODULE test_autodiff
+#endif
+
+#ifndef BOOST_ALLOW_DEPRECATED_HEADERS
+#define BOOST_ALLOW_DEPRECATED_HEADERS // artifact of sp_typeinfo.hpp inclusion from unit_test.hpp
+#endif
+
+#include <boost/math/tools/config.hpp>
+
+#include <boost/math/differentiation/autodiff.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/mp11/function.hpp>
+#include <boost/mp11/integral.hpp>
+#include <boost/mp11/list.hpp>
+#include <boost/mp11/utility.hpp>
+#include <boost/range/irange.hpp>
+#include <boost/test/included/unit_test.hpp>
+
+#include <algorithm>
+#include <cfenv>
+#include <cstdlib>
+#include <random>
+
+namespace mp11 = boost::mp11;
+namespace bmp = boost::multiprecision;
+
+#if defined(BOOST_USE_VALGRIND) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
+using bin_float_types = mp11::mp_list<float>;
+#else
+using bin_float_types = mp11::mp_list<float, double, long double>;
+#endif
+
+// cpp_dec_float_50 cannot be used with close_at_tolerance
+/*using multiprecision_float_types =
+    mp_list<bmp::cpp_dec_float_50, bmp::cpp_bin_float_50>;*/
+
+#if !defined(BOOST_VERSION) || BOOST_VERSION < 107000 || defined(BOOST_USE_VALGRIND) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) || defined(BOOST_NO_STRESS_TEST)
+using multiprecision_float_types = mp11::mp_list<>;
+#else
+#define BOOST_AUTODIFF_TESTING_INCLUDE_MULTIPRECISION
+using multiprecision_float_types = mp11::mp_list<bmp::cpp_bin_float_50>;
+#endif
+
+using all_float_types = mp11::mp_append<bin_float_types, multiprecision_float_types>;
+
+using namespace boost::math::differentiation;
+
+namespace test_detail {
+template <typename T>
+using is_multiprecision_t =
+    mp11::mp_or<bmp::is_number<T>, bmp::is_number_expression<T>>;
+
+template<bool IfValue, typename ThenType, typename ElseType>
+using if_c = mp11::mp_eval_if_c<IfValue, ThenType, mp11::mp_identity_t, ElseType>;
+
+template<typename IfType, typename ThenType, typename ElseType>
+using if_t = if_c<IfType::value, ThenType, ElseType>;
+
+/**
+ * Simple struct to hold constants that are used in each test
+ * since BOOST_AUTO_TEST_CASE_TEMPLATE doesn't support fixtures.
+ */
+template <typename T, std::size_t OrderValue>
+struct test_constants_t {
+  static constexpr auto n_samples = if_t<mp11::mp_or<bmp::is_number<T>, bmp::is_number_expression<T>>, mp11::mp_int<10>, mp11::mp_int<25>>::value;
+  static constexpr auto order = OrderValue;
+  static constexpr T pct_epsilon() BOOST_NOEXCEPT {
+    return (is_multiprecision_t<T>::value ? 2 : 1) * std::numeric_limits<T>::epsilon() * 100;
+  }
+};
+
+/**
+ * struct to emit pseudo-random values from a given interval.
+ * Endpoints are closed or open depending on whether or not they're infinite).
+ */
+
+template <typename T>
+struct RandomSample {
+  using numeric_limits_t = std::numeric_limits<T>;
+  using is_integer_t = mp11::mp_bool<std::numeric_limits<T>::is_integer>;
+
+  using distribution_param_t = if_t<
+      is_multiprecision_t<T>,
+      if_t<is_integer_t,
+                  if_c<numeric_limits_t::is_signed, int64_t, uint64_t>,
+                  long double>,
+      T>;
+  static_assert((std::numeric_limits<T>::is_integer &&
+                 std::numeric_limits<distribution_param_t>::is_integer) ||
+                    (!std::numeric_limits<T>::is_integer &&
+                     !std::numeric_limits<distribution_param_t>::is_integer),
+                "T and distribution_param_t must either both be integral or "
+                "both be not integral");
+
+  using dist_t = if_t<is_integer_t,
+  std::uniform_int_distribution<distribution_param_t>,
+  std::uniform_real_distribution<distribution_param_t>>;
+
+  struct get_integral_endpoint {
+    template <typename V>
+    constexpr distribution_param_t operator()(V finish) const noexcept {
+      return static_cast<distribution_param_t>(finish);
+    }
+  };
+
+  struct get_real_endpoint {
+    template <typename V>
+    constexpr distribution_param_t operator()(V finish) const noexcept {
+      return std::nextafter(static_cast<distribution_param_t>(finish),
+                            (std::numeric_limits<distribution_param_t>::max)());
+    }
+  };
+
+  using get_endpoint_t = if_t<is_integer_t, get_integral_endpoint, get_real_endpoint>;
+
+  template <typename U, typename V>
+  RandomSample(U start, V finish)
+      : rng_(std::random_device{}()),
+        dist_(static_cast<distribution_param_t>(start),
+              get_endpoint_t{}(finish)) {}
+
+  T next() noexcept { return static_cast<T>(dist_(rng_)); }
+  T normalize(const T& x) noexcept {
+    return x / ((dist_.max)() - (dist_.min)());
+  }
+
+  std::mt19937 rng_;
+  dist_t dist_;
+};
+static_assert(std::is_same<RandomSample<float>::dist_t,
+                           std::uniform_real_distribution<float>>::value,
+              "");
+static_assert(std::is_same<RandomSample<int64_t>::dist_t,
+                           std::uniform_int_distribution<int64_t>>::value,
+              "");
+static_assert(std::is_same<RandomSample<bmp::uint512_t>::dist_t,
+                           std::uniform_int_distribution<uint64_t>>::value,
+              "");
+static_assert(std::is_same<RandomSample<bmp::cpp_bin_float_50>::dist_t,
+                           std::uniform_real_distribution<long double>>::value,
+              "");
+
+}  // namespace test_detail
+
+template<typename T>
+auto isNearZero(const T& t) noexcept -> typename std::enable_if<!detail::is_fvar<T>::value, bool>::type
+{
+  using std::sqrt;
+  using bmp::sqrt;
+  using detail::sqrt;
+  using std::fabs;
+  using bmp::fabs;
+  using detail::fabs;
+  using boost::math::fpclassify;
+  using std::sqrt;
+  return fpclassify(fabs(t)) == FP_ZERO || fpclassify(fabs(t)) == FP_SUBNORMAL || boost::math::fpc::is_small(fabs(t), sqrt(std::numeric_limits<T>::epsilon()));
+}
+
+template<typename T>
+auto isNearZero(const T& t) noexcept -> typename std::enable_if<detail::is_fvar<T>::value, bool>::type
+{
+  using root_type = typename T::root_type;
+  return isNearZero(static_cast<root_type>(t));
+}
+
+template <typename T, std::size_t Order = 5>
+using test_constants_t = test_detail::test_constants_t<T, Order>;
+
+template <typename W, typename X, typename Y, typename Z>
+promote<W, X, Y, Z> mixed_partials_f(const W& w, const X& x, const Y& y,
+                                     const Z& z) {
+
+  return exp(w * sin(x * log(y) / z) + sqrt(w * z / (x * y))) + w * w / tan(z);
+}
+
+// Equations and function/variable names are from
+// https://en.wikipedia.org/wiki/Greeks_(finance)#Formulas_for_European_option_Greeks
+//
+// Standard normal probability density function
+template <typename T>
+T phi(const T& x) {
+  return boost::math::constants::one_div_root_two_pi<T>() * exp(-0.5 * x * x);
+}
+
+// Standard normal cumulative distribution function
+template <typename T>
+T Phi(const T& x) {
+  return 0.5 * erfc(-boost::math::constants::one_div_root_two<T>() * x);
+}
+
+enum class CP { call, put };
+
+// Assume zero annual dividend yield (q=0).
+template <typename Price, typename Sigma, typename Tau, typename Rate>
+promote<Price, Sigma, Tau, Rate> black_scholes_option_price(CP cp, double K,
+                                                            const Price& S,
+                                                            const Sigma& sigma,
+                                                            const Tau& tau,
+                                                            const Rate& r) {
+  const auto d1 =
+      (log(S / K) + (r + sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  const auto d2 =
+      (log(S / K) + (r - sigma * sigma / 2) * tau) / (sigma * sqrt(tau));
+  if (cp == CP::call) {
+    return S * Phi(d1) - exp(-r * tau) * K * Phi(d2);
+  }
+  return exp(-r * tau) * K * Phi(-d2) - S * Phi(-d1);
+}
+
+template <typename T>
+T uncast_return(const T& x) {
+  return x == 0 ? 0 : 1;
+}
+
+#endif  // BOOST_MATH_TEST_AUTODIFF_HPP
diff --git a/src/boost/libs/math/test/test_autodiff_1.cpp b/src/boost/libs/math/test/test_autodiff_1.cpp
new file mode 100644
index 000000000..9417d78bf
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_1.cpp
@@ -0,0 +1,695 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_1)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(constructors, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  // Verify value-initialized instance has all 0 entries.
+  const autodiff_fvar<T, m> empty1 = autodiff_fvar<T, m>();
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(empty1.derivative(i), 0);
+  }
+  const auto empty2 = autodiff_fvar<T, m, n>();
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_EQUAL(empty2.derivative(i, j), 0);
+    }
+  }
+  // Single variable
+  const T cx = 10.0;
+  const auto x = make_fvar<T, m>(cx);
+  for (auto i : boost::irange(m + 1)) {
+    if (i == 0u) {
+      BOOST_CHECK_EQUAL(x.derivative(i), cx);
+    } else if (i == 1) {
+      BOOST_CHECK_EQUAL(x.derivative(i), 1);
+    } else {
+      BOOST_CHECK_EQUAL(x.derivative(i), 0);
+    }
+  }
+  const autodiff_fvar<T, n> xn = x;
+  for (auto i : boost::irange(n + 1)) {
+    if (i == 0) {
+      BOOST_CHECK_EQUAL(xn.derivative(i), cx);
+    } else if (i == 1) {
+      BOOST_CHECK_EQUAL(xn.derivative(i), 1);
+    } else {
+      BOOST_CHECK_EQUAL(xn.derivative(i), 0);
+    }
+  }
+  // Second independent variable
+  const T cy = 100.0;
+  const auto y = make_fvar<T, m, n>(cy);
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), cy);
+      } else if (i == 0 && j == 1) {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(implicit_constructors, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  const autodiff_fvar<T, m> x = 3;
+  const autodiff_fvar<T, m> one = uncast_return(x);
+  const autodiff_fvar<T, m> two_and_a_half = 2.5;
+  BOOST_CHECK_EQUAL(static_cast<T>(x), 3.0);
+  BOOST_CHECK_EQUAL(static_cast<T>(one), 1.0);
+  BOOST_CHECK_EQUAL(static_cast<T>(two_and_a_half), 2.5);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 10.0;
+  autodiff_fvar<T, m, n>
+      empty; // Uninitialized variable<> may have non-zero values.
+  // Single variable
+  auto x = make_fvar<T, m>(cx);
+  empty = static_cast<decltype(empty)>(
+      x); // Test static_cast of single-variable to double-variable type.
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 0.0);
+      }
+    }
+  }
+  auto y = make_fvar<T, m, n>(cy);
+  empty = y; // default assignment operator
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), cy);
+      } else if (i == 0 && j == 1) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 0.0);
+      }
+    }
+  }
+  empty = cx; // set a constant
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), cx);
+      } else {
+        BOOST_CHECK_EQUAL(empty.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ostream, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  const T cx = 10;
+  const auto x = make_fvar<T, m>(cx);
+  std::ostringstream ss;
+  ss << "x = " << x;
+  BOOST_CHECK_EQUAL(ss.str(), "x = depth(1)(10,1,0,0)");
+  ss.str(std::string());
+  const auto scalar = make_fvar<T,0>(cx);
+  ss << "scalar = " << scalar;
+  BOOST_CHECK_EQUAL(ss.str(), "scalar = depth(1)(10)");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(addition_assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  auto sum = autodiff_fvar<T, m, n>(); // zero-initialized
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  sum += x;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // Arithmetic constant
+  const T cy = 11.0;
+  sum = 0;
+  sum += cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), cy);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtraction_assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  auto sum = autodiff_fvar<T, m, n>(); // zero-initialized
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  sum -= x;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), -cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), -1.0);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // Arithmetic constant
+  const T cy = 11.0;
+  sum = 0;
+  sum -= cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), -cy);
+      } else {
+        BOOST_CHECK_EQUAL(sum.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiplication_assignment, T, all_float_types) {
+  // Try explicit bracing based on feedback. Doesn't add very much except 26
+  // extra lines.
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  auto product = autodiff_fvar<T, m, n>(1); // unit constant
+  // Single variable
+  auto x = make_fvar<T, m>(cx);
+  product *= x;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // Arithmetic constant
+  const T cy = 11.0;
+  product = 1;
+  product *= cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), cy);
+      } else {
+        BOOST_CHECK_EQUAL(product.derivative(i, j), 0.0);
+      }
+    }
+  }
+  // 0 * inf = nan
+  x = make_fvar<T, m>(0.0);
+  x *= std::numeric_limits<T>::infinity();
+  // std::cout << "x = " << x << std::endl;
+  for (auto i : boost::irange(m + 1)) {
+    if (i == 0) {
+      BOOST_CHECK(boost::math::isnan(static_cast<T>(x))); // Correct
+      // BOOST_CHECK_EQUAL(x.derivative(i) == 0.0); // Wrong. See
+      // multiply_assign_by_root_type().
+    } else if (i == 1) {
+      BOOST_CHECK(boost::math::isinf(x.derivative(i)));
+    } else {
+      BOOST_CHECK_EQUAL(x.derivative(i), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(division_assignment, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 16.0;
+  auto quotient = autodiff_fvar<T, m, n>(1); // unit constant
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  quotient /= x;
+  BOOST_CHECK_EQUAL(quotient.derivative(0, 0), 1 / cx);
+  BOOST_CHECK_EQUAL(quotient.derivative(1, 0), -1 / pow(cx, 2));
+  BOOST_CHECK_EQUAL(quotient.derivative(2, 0), 2 / pow(cx, 3));
+  BOOST_CHECK_EQUAL(quotient.derivative(3, 0), -6 / pow(cx, 4));
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(std::size_t(1), n + 1)) {
+      BOOST_CHECK_EQUAL(quotient.derivative(i, j), 0.0);
+    }
+  }
+  // Arithmetic constant
+  const T cy = 32.0;
+  quotient = 1;
+  quotient /= cy;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(quotient.derivative(i, j), 1 / cy);
+      } else {
+        BOOST_CHECK_EQUAL(quotient.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(unary_signs, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 16.0;
+  autodiff_fvar<T, m, n> lhs;
+  // Single variable
+  const auto x = make_fvar<T, m>(cx);
+  lhs = static_cast<decltype(lhs)>(-x);
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), -cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), -1.0);
+      } else {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), 0.0);
+      }
+    }
+  }
+  lhs = static_cast<decltype(lhs)>(+x);
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      if (i == 0 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), cx);
+      } else if (i == 1 && j == 0) {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(lhs.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+// TODO 3 tests for 3 operator+() definitions.
+BOOST_AUTO_TEST_CASE_TEMPLATE(cast_double, T, all_float_types) {
+  const T ca(13);
+  const T i(12);
+  constexpr std::size_t m = 3;
+  const auto x = make_fvar<T, m>(ca);
+  BOOST_CHECK_LT(i, x);
+  BOOST_CHECK_EQUAL(i * x, i * ca);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(int_double_casting, T, all_float_types) {
+  const T ca = 3.0;
+  const auto x0 = make_fvar<T, 0>(ca);
+  BOOST_CHECK_EQUAL(static_cast<T>(x0), ca);
+  const auto x1 = make_fvar<T, 1>(ca);
+  BOOST_CHECK_EQUAL(static_cast<T>(x1), ca);
+  const auto x2 = make_fvar<T, 2>(ca);
+  BOOST_CHECK_EQUAL(static_cast<T>(x2), ca);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(scalar_addition, T, all_float_types) {
+  const T ca = 3.0;
+  const T cb = 4.0;
+  const auto sum0 = autodiff_fvar<T, 0>(ca) + autodiff_fvar<T, 0>(cb);
+  BOOST_CHECK_EQUAL(ca + cb, static_cast<T>(sum0));
+  const auto sum1 = autodiff_fvar<T, 0>(ca) + cb;
+  BOOST_CHECK_EQUAL(ca + cb, static_cast<T>(sum1));
+  const auto sum2 = ca + autodiff_fvar<T, 0>(cb);
+  BOOST_CHECK_EQUAL(ca + cb, static_cast<T>(sum2));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(power8, T, all_float_types) {
+  constexpr std::size_t n = 8u;
+  const T ca = 3.0;
+  auto x = make_fvar<T, n>(ca);
+  // Test operator*=()
+  x *= x;
+  x *= x;
+  x *= x;
+  const T power_factorial = boost::math::factorial<T>(n);
+  for (auto i : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(
+        static_cast<T>(x.derivative(i)),
+        static_cast<T>(power_factorial /
+                       boost::math::factorial<T>(static_cast<unsigned>(n - i)) *
+                       pow(ca, n - i)),
+        std::numeric_limits<T>::epsilon());
+  }
+  x = make_fvar<T, n>(ca);
+  // Test operator*()
+  x = x * x * x * x * x * x * x * x;
+  for (auto i : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(
+        x.derivative(i),
+        power_factorial /
+            boost::math::factorial<T>(static_cast<unsigned>(n - i)) *
+            pow(ca, n - i),
+        std::numeric_limits<T>::epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim1_multiplication, T, all_float_types) {
+  constexpr std::size_t m = 2;
+  constexpr std::size_t n = 3;
+  const T cy = 4.0;
+  auto y0 = make_fvar<T, m>(cy);
+  auto y = make_fvar<T, n>(cy);
+  y *= y0;
+  BOOST_CHECK_EQUAL(y.derivative(0), cy * cy);
+  BOOST_CHECK_EQUAL(y.derivative(1), 2 * cy);
+  BOOST_CHECK_EQUAL(y.derivative(2), 2.0);
+  BOOST_CHECK_EQUAL(y.derivative(3), 0.0);
+  y = y * cy;
+  BOOST_CHECK_EQUAL(y.derivative(0), cy * cy * cy);
+  BOOST_CHECK_EQUAL(y.derivative(1), 2 * cy * cy);
+  BOOST_CHECK_EQUAL(y.derivative(2), 2.0 * cy);
+  BOOST_CHECK_EQUAL(y.derivative(3), 0.0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim1and2_multiplication, T, all_float_types) {
+  constexpr std::size_t m = 2;
+  constexpr std::size_t n = 3;
+  const T cx = 3.0;
+  const T cy = 4.0;
+  auto x = make_fvar<T, m>(cx);
+  auto y = make_fvar<T, m, n>(cy);
+  y *= x;
+  BOOST_CHECK_EQUAL(y.derivative(0, 0), cx * cy);
+  BOOST_CHECK_EQUAL(y.derivative(0, 1), cx);
+  BOOST_CHECK_EQUAL(y.derivative(1, 0), cy);
+  BOOST_CHECK_EQUAL(y.derivative(1, 1), 1.0);
+  for (auto i : boost::irange(std::size_t(1), m)) {
+    for (auto j : boost::irange(std::size_t(1), n)) {
+      if (i == 1 && j == 1) {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 1.0);
+      } else {
+        BOOST_CHECK_EQUAL(y.derivative(i, j), 0.0);
+      }
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim2_addition, T, all_float_types) {
+  constexpr std::size_t m = 2;
+  constexpr std::size_t n = 3;
+  const T cx = 3.0;
+  const auto x = make_fvar<T, m>(cx);
+  BOOST_CHECK_EQUAL(x.derivative(0), cx);
+  BOOST_CHECK_EQUAL(x.derivative(1), 1.0);
+  BOOST_CHECK_EQUAL(x.derivative(2), 0.0);
+  const T cy = 4.0;
+  const auto y = make_fvar<T, m, n>(cy);
+  BOOST_CHECK_EQUAL(static_cast<T>(y.derivative(0)), cy);
+  BOOST_CHECK_EQUAL(static_cast<T>(y.derivative(1)),
+                    0.0); // partial of y w.r.t. x.
+
+  BOOST_CHECK_EQUAL(y.derivative(0, 0), cy);
+  BOOST_CHECK_EQUAL(y.derivative(0, 1), 1.0);
+  BOOST_CHECK_EQUAL(y.derivative(1, 0), 0.0);
+  BOOST_CHECK_EQUAL(y.derivative(1, 1), 0.0);
+  const auto z = x + y;
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx + cy);
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1, 1), 0.0);
+  // The following 4 are unnecessarily more expensive than the previous 4.
+  BOOST_CHECK_EQUAL(z.derivative(0).derivative(0), cx + cy);
+  BOOST_CHECK_EQUAL(z.derivative(0).derivative(1), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1).derivative(0), 1.0);
+  BOOST_CHECK_EQUAL(z.derivative(1).derivative(1), 0.0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim2_multiplication, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 6.0;
+  const auto x = make_fvar<T, m>(cx);
+  const T cy = 5.0;
+  const auto y = make_fvar<T, 0, n>(cy);
+  const auto z = x * x * y * y * y;
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx * cx * cy * cy * cy); // x^2 * y^3
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), cx * cx * 3 * cy * cy);  // x^2 * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(0, 2), cx * cx * 6 * cy);       // x^2 * 6y
+  BOOST_CHECK_EQUAL(z.derivative(0, 3), cx * cx * 6);            // x^2 * 6
+  BOOST_CHECK_EQUAL(z.derivative(0, 4), 0.0);                    // x^2 * 0
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 2 * cx * cy * cy * cy);  // 2x * y^3
+  BOOST_CHECK_EQUAL(z.derivative(1, 1), 2 * cx * 3 * cy * cy);   // 2x * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(1, 2), 2 * cx * 6 * cy);        // 2x * 6y
+  BOOST_CHECK_EQUAL(z.derivative(1, 3), 2 * cx * 6);             // 2x * 6
+  BOOST_CHECK_EQUAL(z.derivative(1, 4), 0.0);                    // 2x * 0
+  BOOST_CHECK_EQUAL(z.derivative(2, 0), 2 * cy * cy * cy);       // 2 * y^3
+  BOOST_CHECK_EQUAL(z.derivative(2, 1), 2 * 3 * cy * cy);        // 2 * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(2, 2), 2 * 6 * cy);             // 2 * 6y
+  BOOST_CHECK_EQUAL(z.derivative(2, 3), 2 * 6);                  // 2 * 6
+  BOOST_CHECK_EQUAL(z.derivative(2, 4), 0.0);                    // 2 * 0
+  BOOST_CHECK_EQUAL(z.derivative(3, 0), 0.0);                    // 0 * y^3
+  BOOST_CHECK_EQUAL(z.derivative(3, 1), 0.0);                    // 0 * 3y^2
+  BOOST_CHECK_EQUAL(z.derivative(3, 2), 0.0);                    // 0 * 6y
+  BOOST_CHECK_EQUAL(z.derivative(3, 3), 0.0);                    // 0 * 6
+  BOOST_CHECK_EQUAL(z.derivative(3, 4), 0.0);                    // 0 * 0
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dim2_multiplication_and_subtraction, T,
+                              all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 6.0;
+  const auto x = make_fvar<T, m>(cx);
+  const T cy = 5.0;
+  const auto y = make_fvar<T, 0, n>(cy);
+  const auto z = x * x - y * y;
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx * cx - cy * cy);
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), -2 * cy);
+  BOOST_CHECK_EQUAL(z.derivative(0, 2), -2.0);
+  BOOST_CHECK_EQUAL(z.derivative(0, 3), 0.0);
+  BOOST_CHECK_EQUAL(z.derivative(0, 4), 0.0);
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 2 * cx);
+  BOOST_CHECK_EQUAL(z.derivative(2, 0), 2.0);
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    for (auto j : boost::irange(std::size_t(1), n + 1)) {
+      BOOST_CHECK_EQUAL(z.derivative(i, j), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(inverse, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  const T cx = 4.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto xinv = x.inverse();
+  BOOST_CHECK_EQUAL(xinv.derivative(0), 1 / cx);
+  BOOST_CHECK_EQUAL(xinv.derivative(1), -1 / pow(cx, 2));
+  BOOST_CHECK_EQUAL(xinv.derivative(2), 2 / pow(cx, 3));
+  BOOST_CHECK_EQUAL(xinv.derivative(3), -6 / pow(cx, 4));
+  const auto zero = make_fvar<T, m>(0);
+  const auto inf = zero.inverse();
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(inf.derivative(i),
+                      (i % 2 == 1 ? -1 : 1) *
+                          std::numeric_limits<T>::infinity());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(division, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 16.0;
+  auto x = make_fvar<T, m>(cx);
+  const T cy = 4.0;
+  auto y = make_fvar<T, 1, n>(cy);
+  auto z = x * x / (y * y);
+  BOOST_CHECK_EQUAL(z.derivative(0, 0), cx * cx / (cy * cy)); // x^2 * y^-2
+  BOOST_CHECK_EQUAL(z.derivative(0, 1), cx * cx * (-2) * pow(cy, -3));
+  BOOST_CHECK_EQUAL(z.derivative(0, 2), cx * cx * (6) * pow(cy, -4));
+  BOOST_CHECK_EQUAL(z.derivative(0, 3), cx * cx * (-24) * pow(cy, -5));
+  BOOST_CHECK_EQUAL(z.derivative(0, 4), cx * cx * (120) * pow(cy, -6));
+  BOOST_CHECK_EQUAL(z.derivative(1, 0), 2 * cx / (cy * cy));
+  BOOST_CHECK_EQUAL(z.derivative(1, 1), 2 * cx * (-2) * pow(cy, -3));
+  BOOST_CHECK_EQUAL(z.derivative(1, 2), 2 * cx * (6) * pow(cy, -4));
+  BOOST_CHECK_EQUAL(z.derivative(1, 3), 2 * cx * (-24) * pow(cy, -5));
+  BOOST_CHECK_EQUAL(z.derivative(1, 4), 2 * cx * (120) * pow(cy, -6));
+  BOOST_CHECK_EQUAL(z.derivative(2, 0), 2 / (cy * cy));
+  BOOST_CHECK_EQUAL(z.derivative(2, 1), 2 * (-2) * pow(cy, -3));
+  BOOST_CHECK_EQUAL(z.derivative(2, 2), 2 * (6) * pow(cy, -4));
+  BOOST_CHECK_EQUAL(z.derivative(2, 3), 2 * (-24) * pow(cy, -5));
+  BOOST_CHECK_EQUAL(z.derivative(2, 4), 2 * (120) * pow(cy, -6));
+  for (auto j : boost::irange(n + 1)) {
+    BOOST_CHECK_EQUAL(z.derivative(3, j), 0.0);
+  }
+
+  auto x1 = make_fvar<T, m>(cx);
+  auto z1 = x1 / cy;
+  BOOST_CHECK_EQUAL(z1.derivative(0), cx / cy);
+  BOOST_CHECK_EQUAL(z1.derivative(1), 1 / cy);
+  BOOST_CHECK_EQUAL(z1.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(z1.derivative(3), 0.0);
+  auto y2 = make_fvar<T, m, n>(cy);
+  auto z2 = cx / y2;
+  BOOST_CHECK_EQUAL(z2.derivative(0, 0), cx / cy);
+  BOOST_CHECK_EQUAL(z2.derivative(0, 1), -cx / pow(cy, 2));
+  BOOST_CHECK_EQUAL(z2.derivative(0, 2), 2 * cx / pow(cy, 3));
+  BOOST_CHECK_EQUAL(z2.derivative(0, 3), -6 * cx / pow(cy, 4));
+  BOOST_CHECK_EQUAL(z2.derivative(0, 4), 24 * cx / pow(cy, 5));
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_EQUAL(z2.derivative(i, j), 0.0);
+    }
+  }
+
+  const auto z3 = y / x;
+  BOOST_CHECK_EQUAL(z3.derivative(0, 0), cy / cx);
+  BOOST_CHECK_EQUAL(z3.derivative(0, 1), 1 / cx);
+  BOOST_CHECK_EQUAL(z3.derivative(1, 0), -cy / pow(cx, 2));
+  BOOST_CHECK_EQUAL(z3.derivative(1, 1), -1 / pow(cx, 2));
+  BOOST_CHECK_EQUAL(z3.derivative(2, 0), 2 * cy / pow(cx, 3));
+  BOOST_CHECK_EQUAL(z3.derivative(2, 1), 2 / pow(cx, 3));
+  BOOST_CHECK_EQUAL(z3.derivative(3, 0), -6 * cy / pow(cx, 4));
+  BOOST_CHECK_EQUAL(z3.derivative(3, 1), -6 / pow(cx, 4));
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(std::size_t(2), n + 1)) {
+      BOOST_CHECK_EQUAL(z3.derivative(i, j), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equality, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 10.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_EQUAL(x, y);
+  BOOST_CHECK_EQUAL(x, cy);
+  BOOST_CHECK_EQUAL(cx, y);
+  BOOST_CHECK_EQUAL(cy, x);
+  BOOST_CHECK_EQUAL(y, cx);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(inequality, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 11.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_NE(x, y);
+  BOOST_CHECK_NE(x, cy);
+  BOOST_CHECK_NE(cx, y);
+  BOOST_CHECK_NE(cy, x);
+  BOOST_CHECK_NE(y, cx);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(less_than_or_equal_to, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 10.0;
+  const T cy = 11.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_LE(x, y);
+  BOOST_CHECK_LE(x, y - 1);
+  BOOST_CHECK_LT(x, y);
+  BOOST_CHECK_LE(x, cy);
+  BOOST_CHECK_LE(x, cy - 1);
+  BOOST_CHECK_LT(x, cy);
+  BOOST_CHECK_LE(cx, y);
+  BOOST_CHECK_LE(cx, y - 1);
+  BOOST_CHECK_LT(cx, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(greater_than_or_equal_to, T, all_float_types) {
+  constexpr std::size_t m = 3;
+  constexpr std::size_t n = 4;
+  const T cx = 11.0;
+  const T cy = 10.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  BOOST_CHECK_GE(x, y);
+  BOOST_CHECK_GE(x, y + 1);
+  BOOST_CHECK_GT(x, y);
+  BOOST_CHECK_GE(x, cy);
+  BOOST_CHECK_GE(x, cy + 1);
+  BOOST_CHECK_GT(x, cy);
+  BOOST_CHECK_GE(cx, y);
+  BOOST_CHECK_GE(cx, y + 1);
+  BOOST_CHECK_GT(cx, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(fabs_test, T, all_float_types) {
+  using bmp::fabs;
+  using detail::fabs;
+  using std::fabs;
+  constexpr std::size_t m = 3;
+  const T cx = 11.0;
+  const auto x = make_fvar<T, m>(cx);
+  auto a = fabs(x);
+  BOOST_CHECK_EQUAL(a.derivative(0), fabs(cx));
+  BOOST_CHECK_EQUAL(a.derivative(1), 1.0);
+  BOOST_CHECK_EQUAL(a.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(a.derivative(3), 0.0);
+  a = fabs(-x);
+  BOOST_CHECK_EQUAL(a.derivative(0), fabs(cx));
+  BOOST_CHECK_EQUAL(a.derivative(1), 1.0); // fabs(-x) = fabs(x)
+  BOOST_CHECK_EQUAL(a.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(a.derivative(3), 0.0);
+  const auto xneg = make_fvar<T, m>(-cx);
+  a = fabs(xneg);
+  BOOST_CHECK_EQUAL(a.derivative(0), fabs(cx));
+  BOOST_CHECK_EQUAL(a.derivative(1), -1.0);
+  BOOST_CHECK_EQUAL(a.derivative(2), 0.0);
+  BOOST_CHECK_EQUAL(a.derivative(3), 0.0);
+  const auto zero = make_fvar<T, m>(0);
+  a = fabs(zero);
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(a.derivative(i), 0.0);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ceil_and_floor, T, all_float_types) {
+  using bmp::ceil;
+  using bmp::floor;
+  using std::ceil;
+  using std::floor;
+  constexpr std::size_t m = 3;
+  T tests[]{-1.5, 0.0, 1.5};
+  for (T &test : tests) {
+    const auto x = make_fvar<T, m>(test);
+    auto c = ceil(x);
+    auto f = floor(x);
+    BOOST_CHECK_EQUAL(c.derivative(0), ceil(test));
+    BOOST_CHECK_EQUAL(f.derivative(0), floor(test));
+    for (auto i : boost::irange(std::size_t(1), m + 1)) {
+      BOOST_CHECK_EQUAL(c.derivative(i), 0.0);
+      BOOST_CHECK_EQUAL(f.derivative(i), 0.0);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_2.cpp b/src/boost/libs/math/test/test_autodiff_2.cpp
new file mode 100644
index 000000000..378a9bb16
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_2.cpp
@@ -0,0 +1,512 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_2)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(one_over_one_plus_x_squared, T, all_float_types) {
+  constexpr std::size_t m = 4;
+  const T cx(1);
+  auto f = make_fvar<T, m>(cx);
+  // f = 1 / ((f *= f) += 1);
+  f *= f;
+  f += T(1);
+  f = f.inverse();
+  BOOST_CHECK_EQUAL(f.derivative(0u), 0.5);
+  BOOST_CHECK_EQUAL(f.derivative(1u), -0.5);
+  BOOST_CHECK_EQUAL(f.derivative(2u), 0.5);
+  BOOST_CHECK_EQUAL(f.derivative(3u), 0);
+  BOOST_CHECK_EQUAL(f.derivative(4u), -3);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(exp_test, T, all_float_types) {
+  using std::exp;
+  constexpr std::size_t m = 4;
+  const T cx = 2.0;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = exp(x);
+  for (auto i : boost::irange(m + 1)) {
+    // std::cout.precision(100);
+    // std::cout << "y.derivative("<<i<<") = " << y.derivative(i) << ",
+    // std::exp(cx) = " << std::exp(cx) << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(y.derivative(i), exp(cx),
+                               std::numeric_limits<T>::epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow, T, bin_float_types) {
+  const T eps = 201 * std::numeric_limits<T>::epsilon(); // percent
+  using std::log;
+  using std::pow;
+  constexpr std::size_t m = 5;
+  constexpr std::size_t n = 4;
+  const T cx = 2.0;
+  const T cy = 3.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, m, n>(cy);
+  auto z0 = pow(x, cy);
+  BOOST_CHECK_EQUAL(z0.derivative(0u), pow(cx, cy));
+  BOOST_CHECK_EQUAL(z0.derivative(1u), cy * pow(cx, cy - 1));
+  BOOST_CHECK_EQUAL(z0.derivative(2u), cy * (cy - 1) * pow(cx, cy - 2));
+  BOOST_CHECK_EQUAL(z0.derivative(3u),
+                    cy * (cy - 1) * (cy - 2) * pow(cx, cy - 3));
+  BOOST_CHECK_EQUAL(z0.derivative(4u), 0u);
+  BOOST_CHECK_EQUAL(z0.derivative(5u), 0u);
+  auto z1 = pow(cx, y);
+  BOOST_CHECK_CLOSE(z1.derivative(0u, 0u), pow(cx, cy), eps);
+  for (auto j : boost::irange(std::size_t(1), n + 1)) {
+    BOOST_CHECK_CLOSE(z1.derivative(0u, j), pow(log(cx), j) * pow(cx, cy), eps);
+  }
+
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_EQUAL(z1.derivative(i, j), 0);
+    }
+  }
+
+  const auto z2 = pow(x, y);
+
+  for (auto j : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(z2.derivative(0u, j), pow(cx, cy) * pow(log(cx), j), eps);
+  }
+  for (auto j : boost::irange(n + 1)) {
+    BOOST_CHECK_CLOSE(z2.derivative(1u, j),
+                      pow(cx, cy - 1) * pow(log(cx), static_cast<int>(j) - 1) *
+                          (cy * log(cx) + j),
+                      eps);
+  }
+  BOOST_CHECK_CLOSE(z2.derivative(2u, 0u), pow(cx, cy - 2) * cy * (cy - 1),
+                    eps);
+  BOOST_CHECK_CLOSE(z2.derivative(2u, 1u),
+                    pow(cx, cy - 2) * (cy * (cy - 1) * log(cx) + 2 * cy - 1),
+                    eps);
+  for (auto j : boost::irange(std::size_t(2u), n + 1)) {
+    BOOST_CHECK_CLOSE(z2.derivative(2u, j),
+                      pow(cx, cy - 2) * pow(log(cx), j - 2) *
+                          (j * (2 * cy - 1) * log(cx) + (j - 1) * j +
+                           (cy - 1) * cy * pow(log(cx), 2)),
+                      eps);
+  }
+  BOOST_CHECK_CLOSE(z2.derivative(2u, 4u),
+                    pow(cx, cy - 2) * pow(log(cx), 2) *
+                        (4 * (2 * cy - 1) * log(cx) + (4 - 1) * 4 +
+                         (cy - 1) * cy * pow(log(cx), 2)),
+                    eps);
+}
+
+// TODO Tests around x=0 or y=0: pow(x,y)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2, T, bin_float_types) {
+  const T eps = 4000 * std::numeric_limits<T>::epsilon(); // percent
+  using std::pow;
+  constexpr std::size_t m = 5;
+  constexpr std::size_t n = 5;
+  const T cx = 2;
+  const T cy = 5 / 2.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, 0, n>(cy);
+  const auto z = pow(x, y);
+  using namespace boost::math::constants;
+  // Mathematica: Export["pow.csv", Flatten@Table[ Simplify@D[x^y,{x,i},{y,j}]
+  // /. {x->2, y->5/2},
+  //                    { i, 0, 5 }, { j, 0, 5 } ] ]
+  // sed -rf pow.sed < pow.csv
+  // with pow.sed script:
+  // s/Log\[2\]\^([0-9]+)/pow(ln_two<T>(),\1)/g
+  // s/Log\[2\]/ln_two<T>()/g
+  // s/Sqrt\[2\]/root_two<T>()/g
+  // s/[0-9]\/[0-9]+/\0.0/g
+  // s/^"/static_cast<T>(/
+  // s/"$/),/
+  const T mathematica[]{
+      static_cast<T>(4 * root_two<T>()),
+      static_cast<T>(4 * root_two<T>() * ln_two<T>()),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 2)),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 3)),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 4)),
+      static_cast<T>(4 * root_two<T>() * pow(ln_two<T>(), 5)),
+      static_cast<T>(5 * root_two<T>()),
+      static_cast<T>(2 * root_two<T>() * (1 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * ln_two<T>() *
+                     (2 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * pow(ln_two<T>(), 2) *
+                     (3 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * pow(ln_two<T>(), 3) *
+                     (4 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(2 * root_two<T>() * pow(ln_two<T>(), 4) *
+                     (5 + (5 * ln_two<T>()) / 2)),
+      static_cast<T>(15 / (2 * root_two<T>())),
+      static_cast<T>(root_two<T>() * (4 + (15 * ln_two<T>()) / 4)),
+      static_cast<T>(root_two<T>() *
+                     (2 + 8 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(root_two<T>() * ln_two<T>() *
+                     (6 + 12 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(root_two<T>() * pow(ln_two<T>(), 2) *
+                     (12 + 16 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(root_two<T>() * pow(ln_two<T>(), 3) *
+                     (20 + 20 * ln_two<T>() + (15 * pow(ln_two<T>(), 2)) / 4)),
+      static_cast<T>(15 / (8 * root_two<T>())),
+      static_cast<T>((23 / 4.0 + (15 * ln_two<T>()) / 8) / root_two<T>()),
+      static_cast<T>(
+          (9 + (23 * ln_two<T>()) / 2 + (15 * pow(ln_two<T>(), 2)) / 8) /
+          root_two<T>()),
+      static_cast<T>((6 + 27 * ln_two<T>() + (69 * pow(ln_two<T>(), 2)) / 4 +
+                      (15 * pow(ln_two<T>(), 3)) / 8) /
+                     root_two<T>()),
+      static_cast<T>(
+          (ln_two<T>() * (24 + 54 * ln_two<T>() + 23 * pow(ln_two<T>(), 2) +
+                          (15 * pow(ln_two<T>(), 3)) / 8)) /
+          root_two<T>()),
+      static_cast<T>((pow(ln_two<T>(), 2) *
+                      (60 + 90 * ln_two<T>() + (115 * pow(ln_two<T>(), 2)) / 4 +
+                       (15 * pow(ln_two<T>(), 3)) / 8)) /
+                     root_two<T>()),
+      static_cast<T>(-15 / (32 * root_two<T>())),
+      static_cast<T>((-1 - (15 * ln_two<T>()) / 16) / (2 * root_two<T>())),
+      static_cast<T>((7 - 2 * ln_two<T>() - (15 * pow(ln_two<T>(), 2)) / 16) /
+                     (2 * root_two<T>())),
+      static_cast<T>((24 + 21 * ln_two<T>() - 3 * pow(ln_two<T>(), 2) -
+                      (15 * pow(ln_two<T>(), 3)) / 16) /
+                     (2 * root_two<T>())),
+      static_cast<T>((24 + 96 * ln_two<T>() + 42 * pow(ln_two<T>(), 2) -
+                      4 * pow(ln_two<T>(), 3) -
+                      (15 * pow(ln_two<T>(), 4)) / 16) /
+                     (2 * root_two<T>())),
+      static_cast<T>(
+          (ln_two<T>() *
+           (120 + 240 * ln_two<T>() + 70 * pow(ln_two<T>(), 2) -
+            5 * pow(ln_two<T>(), 3) - (15 * pow(ln_two<T>(), 4)) / 16)) /
+          (2 * root_two<T>())),
+      static_cast<T>(45 / (128 * root_two<T>())),
+      static_cast<T>((9 / 16.0 + (45 * ln_two<T>()) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((-25 / 2.0 + (9 * ln_two<T>()) / 8 +
+                      (45 * pow(ln_two<T>(), 2)) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((-15 - (75 * ln_two<T>()) / 2 +
+                      (27 * pow(ln_two<T>(), 2)) / 16 +
+                      (45 * pow(ln_two<T>(), 3)) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((60 - 60 * ln_two<T>() - 75 * pow(ln_two<T>(), 2) +
+                      (9 * pow(ln_two<T>(), 3)) / 4 +
+                      (45 * pow(ln_two<T>(), 4)) / 32) /
+                     (4 * root_two<T>())),
+      static_cast<T>((120 + 300 * ln_two<T>() - 150 * pow(ln_two<T>(), 2) -
+                      125 * pow(ln_two<T>(), 3) +
+                      (45 * pow(ln_two<T>(), 4)) / 16 +
+                      (45 * pow(ln_two<T>(), 5)) / 32) /
+                     (4 * root_two<T>()))};
+  std::size_t k = 0;
+  for (auto i : boost::irange(m + 1)) {
+    for (auto j : boost::irange(n + 1)) {
+      BOOST_CHECK_CLOSE(z.derivative(i, j), mathematica[k++], eps);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt_test, T, all_float_types) {
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 5;
+  const T cx = 4.0;
+  auto x = make_fvar<T, m>(cx);
+  auto y = sqrt(x);
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(0u), sqrt(cx),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(1u), 0.5 * pow(cx, -0.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(2u), -0.5 * 0.5 * pow(cx, -1.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(3u), 0.5 * 0.5 * 1.5 * pow(cx, -2.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(4u),
+                             -0.5 * 0.5 * 1.5 * 2.5 * pow(cx, -3.5),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(5u),
+                             0.5 * 0.5 * 1.5 * 2.5 * 3.5 * pow(cx, -4.5),
+                             std::numeric_limits<T>::epsilon());
+  x = make_fvar<T, m>(0);
+  y = sqrt(x);
+  // std::cout << "sqrt(0) = " << y << std::endl; // (0,inf,-inf,inf,-inf,inf)
+  BOOST_CHECK_EQUAL(y.derivative(0u), 0);
+  for (auto i : boost::irange(std::size_t(1), m + 1)) {
+    BOOST_CHECK_EQUAL(y.derivative(i), (i % 2 == 1 ? 1 : -1) *
+                                           std::numeric_limits<T>::infinity());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(log_test, T, all_float_types) {
+  using std::log;
+  using std::pow;
+  constexpr std::size_t m = 5;
+  const T cx = 2.0;
+  auto x = make_fvar<T, m>(cx);
+  auto y = log(x);
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(0u), log(cx),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(1u), 1 / cx,
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(2u), -1 / pow(cx, 2),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(3u), 2 / pow(cx, 3),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(4u), -6 / pow(cx, 4),
+                             std::numeric_limits<T>::epsilon());
+  BOOST_CHECK_CLOSE_FRACTION(y.derivative(5u), 24 / pow(cx, 5),
+                             std::numeric_limits<T>::epsilon());
+  x = make_fvar<T, m>(0);
+  y = log(x);
+  // std::cout << "log(0) = " << y << std::endl; // log(0) =
+  // depth(1)(-inf,inf,-inf,inf,-inf,inf)
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_EQUAL(y.derivative(i), (i % 2 == 1 ? 1 : -1) *
+                                           std::numeric_limits<T>::infinity());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ylogx, T, all_float_types) {
+  using std::log;
+  using std::pow;
+  const T eps = 100 * std::numeric_limits<T>::epsilon(); // percent
+  constexpr std::size_t m = 5;
+  constexpr std::size_t n = 4;
+  const T cx = 2.0;
+  const T cy = 3.0;
+  const auto x = make_fvar<T, m>(cx);
+  const auto y = make_fvar<T, m, n>(cy);
+  auto z = y * log(x);
+  BOOST_CHECK_EQUAL(z.derivative(0u, 0u), cy * log(cx));
+  BOOST_CHECK_EQUAL(z.derivative(0u, 1u), log(cx));
+  BOOST_CHECK_EQUAL(z.derivative(0u, 2u), 0);
+  BOOST_CHECK_EQUAL(z.derivative(0u, 3u), 0);
+  BOOST_CHECK_EQUAL(z.derivative(0u, 4u), 0);
+  for (auto i : boost::irange(1u, static_cast<unsigned>(m + 1))) {
+    BOOST_CHECK_CLOSE(z.derivative(i, 0u),
+                      pow(-1, i - 1) * boost::math::factorial<T>(i - 1) * cy /
+                          pow(cx, i),
+                      eps);
+    BOOST_CHECK_CLOSE(
+        z.derivative(i, 1u),
+        pow(-1, i - 1) * boost::math::factorial<T>(i - 1) / pow(cx, i), eps);
+    for (auto j : boost::irange(std::size_t(2), n + 1)) {
+      BOOST_CHECK_EQUAL(z.derivative(i, j), 0u);
+    }
+  }
+  auto z1 = exp(z);
+  // RHS is confirmed by
+  // https://www.wolframalpha.com/input/?i=D%5Bx%5Ey,%7Bx,2%7D,%7By,4%7D%5D+%2F.+%7Bx-%3E2.0,+y-%3E3.0%7D
+  BOOST_CHECK_CLOSE(z1.derivative(2u, 4u),
+                    pow(cx, cy - 2) * pow(log(cx), 2) *
+                        (4 * (2 * cy - 1) * log(cx) + (4 - 1) * 4 +
+                         (cy - 1) * cy * pow(log(cx), 2)),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(frexp_test, T, all_float_types) {
+  using std::exp2;
+  using std::frexp;
+  constexpr std::size_t m = 3;
+  const T cx = 3.5;
+  const auto x = make_fvar<T, m>(cx);
+  int exp, testexp;
+  auto y = frexp(x, &exp);
+  BOOST_CHECK_EQUAL(y.derivative(0u), frexp(cx, &testexp));
+  BOOST_CHECK_EQUAL(exp, testexp);
+  BOOST_CHECK_EQUAL(y.derivative(1u), exp2(-exp));
+  BOOST_CHECK_EQUAL(y.derivative(2u), 0);
+  BOOST_CHECK_EQUAL(y.derivative(3u), 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ldexp_test, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using boost::multiprecision::ldexp;
+  constexpr auto m = 3u;
+  const T cx = 3.5;
+  const auto x = make_fvar<T, m>(cx);
+  constexpr auto exponent = 3;
+  auto y = ldexp(x, exponent);
+  BOOST_CHECK_EQUAL(y.derivative(0u), ldexp(cx, exponent));
+  BOOST_CHECK_EQUAL(y.derivative(1u), exp2(exponent));
+  BOOST_CHECK_EQUAL(y.derivative(2u), 0);
+  BOOST_CHECK_EQUAL(y.derivative(3u), 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cos_and_sin, T, bin_float_types) {
+  using std::cos;
+  using std::sin;
+  const T eps = 200 * std::numeric_limits<T>::epsilon(); // percent
+  constexpr std::size_t m = 5;
+  const T cx = boost::math::constants::third_pi<T>();
+  const auto x = make_fvar<T, m>(cx);
+  auto cos5 = cos(x);
+  BOOST_CHECK_CLOSE(cos5.derivative(0u), cos(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(1u), -sin(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(2u), -cos(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(3u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(4u), cos(cx), eps);
+  BOOST_CHECK_CLOSE(cos5.derivative(5u), -sin(cx), eps);
+  auto sin5 = sin(x);
+  BOOST_CHECK_CLOSE(sin5.derivative(0u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(1u), cos(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(2u), -sin(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(3u), -cos(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(4u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(sin5.derivative(5u), cos(cx), eps);
+  // Test Order = 0 for codecov
+  auto cos0 = cos(make_fvar<T, 0>(cx));
+  BOOST_CHECK_CLOSE(cos0.derivative(0u), cos(cx), eps);
+  auto sin0 = sin(make_fvar<T, 0>(cx));
+  BOOST_CHECK_CLOSE(sin0.derivative(0u), sin(cx), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(acos_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using std::acos;
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 5;
+  const T cx = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = acos(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), acos(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), -1 / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), -cx / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    -(2 * cx * cx + 1) / pow(1 - cx * cx, 2.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    -3 * cx * (2 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    -(24 * (cx * cx + 3) * cx * cx + 9) / pow(1 - cx * cx, 4.5),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(acosh_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using boost::math::acosh;
+  constexpr std::size_t m = 5;
+  const T cx = 2;
+  auto x = make_fvar<T, m>(cx);
+  auto y = acosh(x);
+  // BOOST_CHECK_EQUAL(y.derivative(0) == acosh(cx)); // FAILS! acosh(2) is
+  // overloaded for integral types
+  BOOST_CHECK_CLOSE(y.derivative(0u), acosh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u),
+                    1 / boost::math::constants::root_three<T>(), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u),
+                    -2 / (3 * boost::math::constants::root_three<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    1 / boost::math::constants::root_three<T>(), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    -22 / (9 * boost::math::constants::root_three<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    227 / (27 * boost::math::constants::root_three<T>()),
+                    2 * eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asin_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using std::asin;
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 5;
+  const T cx = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = asin(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), asin(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), 1 / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), cx / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), (2 * cx * cx + 1) / pow(1 - cx * cx, 2.5),
+                    eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    3 * cx * (2 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    (24 * (cx * cx + 3) * cx * cx + 9) / pow(1 - cx * cx, 4.5),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asin_infinity, T, all_float_types) {
+  const T eps = 100 * std::numeric_limits<T>::epsilon(); // percent
+  constexpr std::size_t m = 5;
+  auto x = make_fvar<T, m>(1);
+  auto y = asin(x);
+  // std::cout << "asin(1) = " << y << std::endl; //
+  // depth(1)(1.5707963267949,inf,inf,-nan,-nan,-nan)
+  BOOST_CHECK_CLOSE(y.derivative(0u), boost::math::constants::half_pi<T>(),
+                    eps); // MacOS is not exact
+  BOOST_CHECK_EQUAL(y.derivative(1u), std::numeric_limits<T>::infinity());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asin_derivative, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using std::pow;
+  using std::sqrt;
+  constexpr std::size_t m = 4;
+  const T cx(0.5);
+  auto x = make_fvar<T, m>(cx);
+  auto y = T(1) - x * x;
+  BOOST_CHECK_EQUAL(y.derivative(0u), 1 - cx * cx);
+  BOOST_CHECK_EQUAL(y.derivative(1u), -2 * cx);
+  BOOST_CHECK_EQUAL(y.derivative(2u), -2);
+  BOOST_CHECK_EQUAL(y.derivative(3u), 0);
+  BOOST_CHECK_EQUAL(y.derivative(4u), 0);
+  y = sqrt(y);
+  BOOST_CHECK_EQUAL(y.derivative(0u), sqrt(1 - cx * cx));
+  BOOST_CHECK_CLOSE(y.derivative(1u), -cx / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), -1 / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), -3 * cx / pow(1 - cx * cx, 2.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    -(12 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  y = y.inverse(); // asin'(x) = 1 / sqrt(1-x*x).
+  BOOST_CHECK_CLOSE(y.derivative(0u), 1 / sqrt(1 - cx * cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), cx / pow(1 - cx * cx, 1.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), (2 * cx * cx + 1) / pow(1 - cx * cx, 2.5),
+                    eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    3 * cx * (2 * cx * cx + 3) / pow(1 - cx * cx, 3.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    (24 * (cx * cx + 3) * cx * cx + 9) / pow(1 - cx * cx, 4.5),
+                    eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asinh_test, T, bin_float_types) {
+  const T eps = 300 * std::numeric_limits<T>::epsilon(); // percent
+  using boost::math::asinh;
+  constexpr std::size_t m = 5;
+  const T cx = 1;
+  auto x = make_fvar<T, m>(cx);
+  auto y = asinh(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), asinh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), 1 / boost::math::constants::root_two<T>(),
+                    eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u),
+                    -1 / (2 * boost::math::constants::root_two<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u),
+                    1 / (4 * boost::math::constants::root_two<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u),
+                    3 / (8 * boost::math::constants::root_two<T>()), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u),
+                    -39 / (16 * boost::math::constants::root_two<T>()), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atan2_function, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  test_detail::RandomSample<T> y_sampler{-2000, 2000};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = y_sampler.next();
+
+    auto autodiff_v = atan2(make_fvar<T, m>(x), make_fvar<T, m>(y));
+    auto anchor_v = atan2(x, y);
+    BOOST_CHECK_CLOSE(autodiff_v, anchor_v,
+                      5000 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_3.cpp b/src/boost/libs/math/test/test_autodiff_3.cpp
new file mode 100644
index 000000000..a83bcc88b
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_3.cpp
@@ -0,0 +1,343 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+#include <boost/utility/identity_type.hpp>
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_3)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atanh_test, T, all_float_types) {
+  const T eps = 3000 * test_constants_t<T>::pct_epsilon(); // percent
+  constexpr unsigned m = 5;
+  const T cx = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = atanh(x);
+  // BOOST_CHECK_EQUAL(y.derivative(0) , atanh(cx)); // fails due to overload
+  BOOST_CHECK_CLOSE(y.derivative(0u), atanh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), static_cast<T>(4) / 3, eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), static_cast<T>(16) / 9, eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), static_cast<T>(224) / 27, eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), static_cast<T>(1280) / 27, eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), static_cast<T>(31232) / 81, eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atan_test, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using namespace boost;
+
+  const T cx = 1.0;
+  constexpr unsigned m = 5;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = atan(x);
+  const auto eps = boost::math::tools::epsilon<T>();
+  BOOST_CHECK_CLOSE(y.derivative(0u), boost::math::constants::pi<T>() / 4, eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), T(0.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), T(-0.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), T(0.5), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), T(0), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), T(-3), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(erf_test, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using namespace boost;
+
+  const T eps = 300 * 100 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = 1.0;
+  constexpr unsigned m = 5;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = erf(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), erf(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(1u),
+      T(2) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(2u),
+      T(-4) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(3u),
+      T(4) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(4u),
+      T(8) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+  BOOST_CHECK_CLOSE(
+      y.derivative(5u),
+      T(-40) / (math::constants::e<T>() * math::constants::root_pi<T>()), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinc_test, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  const T eps = 20000 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = 1;
+  constexpr unsigned m = 5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = sinc(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), sin(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), cos(cx) - sin(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), sin(cx) - 2 * cos(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), T(5) * cos(cx) - T(3) * sin(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), T(13) * sin(cx) - T(20) * cos(cx), eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), T(101) * cos(cx) - T(65) * sin(cx), eps);
+  // Test at x = 0
+  auto y2 = sinc(make_fvar<T, 10>(0));
+  BOOST_CHECK_CLOSE(y2.derivative(0u), T(1), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(1u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(2u), -cx / T(3), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(3u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(4u), cx / T(5), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(5u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(6u), -cx / T(7), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(7u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(8u), cx / T(9), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(9u), T(0), eps);
+  BOOST_CHECK_CLOSE(y2.derivative(10u), -cx / T(11), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinh_and_cosh, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  const T eps = 300 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = 1;
+  constexpr unsigned m = 5;
+  auto x = make_fvar<T, m>(cx);
+  auto s = sinh(x);
+  auto c = cosh(x);
+  BOOST_CHECK_CLOSE(s.derivative(0u), sinh(static_cast<T>(x)), eps);
+  BOOST_CHECK_CLOSE(c.derivative(0u), cosh(static_cast<T>(x)), eps);
+  for (auto i : boost::irange(m + 1)) {
+    BOOST_CHECK_CLOSE(s.derivative(i), static_cast<T>(i % 2 == 1 ? c : s), eps);
+    BOOST_CHECK_CLOSE(c.derivative(i), static_cast<T>(i % 2 == 1 ? s : c), eps);
+  }
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+BOOST_AUTO_TEST_CASE_TEMPLATE(tanh_test, T, all_float_types) {
+  using bmp::fabs;
+  using bmp::tanh;
+  using detail::fabs;
+  using detail::tanh;
+  using std::fabs;
+  using std::tanh;
+  constexpr std::array<const char *, 6> tanh_derivatives{
+      {"0."
+       "76159415595576488811945828260479359041276859725793655159681050012195324"
+       "457663848345894752167367671442190275970155",
+       "0."
+       "41997434161402606939449673904170144491718672823077095471331144024458989"
+       "95240483056156940088623187260",
+       "-0."
+       "63970000844922450018849176930384395321921136306079914494299856318702069"
+       "34885434644440069533372017992",
+       "0."
+       "62162668077129626310653042872222339967572411755445418563968706335816206"
+       "22188951465548376863495698762",
+       "0."
+       "66509104475050167773507148092106234992757132833203125448814929383096463"
+       "47626843278089998045994094537",
+       "-5."
+       "55689355847371979760458290231697200987383372116293456019531342394708989"
+       "7942786231796317250984197038"}};
+  const T cx = 1;
+  constexpr std::size_t m = 5;
+  auto x = make_fvar<T, m>(cx);
+  auto t = tanh(x);
+  for (auto i : boost::irange(tanh_derivatives.size())) {
+    BOOST_TEST_WARN(isNearZero(t.derivative(i) -
+                               boost::lexical_cast<T>(tanh_derivatives[i])));
+  }
+}
+#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(tan_test, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  const T eps = 800 * boost::math::tools::epsilon<T>(); // percent
+  const T cx = boost::math::constants::third_pi<T>();
+  const T root_three = boost::math::constants::root_three<T>();
+  constexpr unsigned m = 5;
+  const auto x = make_fvar<T, m>(cx);
+  auto y = tan(x);
+  BOOST_CHECK_CLOSE(y.derivative(0u), root_three, eps);
+  BOOST_CHECK_CLOSE(y.derivative(1u), T(4), eps);
+  BOOST_CHECK_CLOSE(y.derivative(2u), T(8) * root_three, eps);
+  BOOST_CHECK_CLOSE(y.derivative(3u), T(80), eps);
+  BOOST_CHECK_CLOSE(y.derivative(4u), T(352) * root_three, eps);
+  BOOST_CHECK_CLOSE(y.derivative(5u), T(5824), eps);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(fmod_test, T, bin_float_types) {
+  BOOST_MATH_STD_USING
+  constexpr unsigned m = 3;
+  const T cx = 3.25;
+  const T cy = 0.5;
+  auto x = make_fvar<T, m>(cx);
+  auto y = fmod(x, autodiff_fvar<T, m>(cy));
+  BOOST_CHECK_EQUAL(y.derivative(0u), T(0.25));
+  BOOST_CHECK_EQUAL(y.derivative(1u), T(1));
+  BOOST_CHECK_EQUAL(y.derivative(2u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(3u), T(0));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(round_and_trunc, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  constexpr unsigned m = 3;
+  const T cx = 3.25;
+  auto x = make_fvar<T, m>(cx);
+  auto y = round(x);
+  BOOST_CHECK_EQUAL(y.derivative(0u), round(cx));
+  BOOST_CHECK_EQUAL(y.derivative(1u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(2u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(3u), T(0));
+  y = trunc(x);
+  BOOST_CHECK_EQUAL(y.derivative(0u), trunc(cx));
+  BOOST_CHECK_EQUAL(y.derivative(1u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(2u), T(0));
+  BOOST_CHECK_EQUAL(y.derivative(3u), T(0));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(iround_and_itrunc, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using namespace boost::math;
+  constexpr unsigned m = 3;
+  const T cx = 3.25;
+  auto x = make_fvar<T, m>(cx);
+  int y = iround(x);
+  BOOST_CHECK_EQUAL(y, iround(cx));
+  y = itrunc(x);
+  BOOST_CHECK_EQUAL(y, itrunc(cx));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lambert_w0_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[D[ProductLog[x], {x, n}], {n, 0, 10}] /. x -> 3, 52]
+  constexpr std::array<const char *, m + 1> answers{
+      {"1.049908894964039959988697070552897904589466943706341",
+       "0.1707244807388472968312949774415522047470762509741737",
+       "-0.04336545501146252734105411312976167858858970875797718",
+       "0.02321456264324789334313200360870492961288748451791104",
+       "-0.01909049778427783072663170526188353869136655225133878",
+       "0.02122935002563637629500975949987796094687564718834156",
+       "-0.02979093848448877259041971538394953658978044986784643",
+       "0.05051290266216717699803334605370337985567016837482099",
+       "-0.1004503154972645060971099914384090562800544486549660",
+       "0.2292464437392250211967939182075930820454464472006425",
+       "-0.5905839053125614593682763387470654123192290838719517"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = lambert_w0(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+  // const T cx0 = -1 / boost::math::constants::e<T>();
+  // auto edge = lambert_w0(make_fvar<T,m>(cx0));
+  // std::cout << "edge = " << edge << std::endl;
+  // edge = depth(1)(-1,inf,-inf,inf,-inf,inf,-inf,inf,-inf,inf,-inf)
+  // edge = depth(1)(-1,inf,-inf,inf,-inf,inf,-inf,inf,-inf,inf,-inf)
+  // edge =
+  // depth(1)(-1,3.68935e+19,-9.23687e+57,4.62519e+96,-2.89497e+135,2.02945e+174,-1.52431e+213,1.19943e+252,-9.75959e+290,8.14489e+329,-6.93329e+368)
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(digamma_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[PolyGamma[n, 3], {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"0.9227843350984671393934879099175975689578406640600764"
+    ,"0.3949340668482264364724151666460251892189499012067984"
+    ,"-0.1541138063191885707994763230228999815299725846809978"
+    ,"0.1189394022668291490960221792470074166485057115123614"
+    ,"-0.1362661234408782319527716749688200333699420680459075"
+    ,"0.2061674381338967657421515749104633482180988039424274"
+    ,"-0.3864797149844353246542358918536669119017636069718686"
+    ,"0.8623752376394704685736020836084249051623848752441025"
+    ,"-2.228398747634885327823655450854278779627928241914664"
+    ,"6.536422382626807143525565747764891144367614117601463"
+    ,"-21.4366066287129906188428320541054572790340793874298"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = digamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lgamma_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[D[LogGamma[x],{x,n}] /. x->3, {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"0.6931471805599453094172321214581765680755001343602553"
+    ,"0.9227843350984671393934879099175975689578406640600764"
+    ,"0.3949340668482264364724151666460251892189499012067984"
+    ,"-0.1541138063191885707994763230228999815299725846809978"
+    ,"0.1189394022668291490960221792470074166485057115123614"
+    ,"-0.1362661234408782319527716749688200333699420680459075"
+    ,"0.2061674381338967657421515749104633482180988039424274"
+    ,"-0.3864797149844353246542358918536669119017636069718686"
+    ,"0.8623752376394704685736020836084249051623848752441025"
+    ,"-2.228398747634885327823655450854278779627928241914664"
+    ,"6.536422382626807143525565747764891144367614117601463"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = lgamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(tgamma_test, T, all_float_types) {
+  const T eps = 1000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = 3;
+  // Mathematica: N[Table[D[Gamma[x],{x,n}] /. x->3, {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"2.0"
+    ,"1.845568670196934278786975819835195137915681328120153"
+    ,"2.492929991902693057942510065508124245503778067273315"
+    ,"3.449965013523673365279327178241708777509009968597547"
+    ,"5.521798578098737512443417699412265532987916790978887"
+    ,"8.845805593922864253981346455183370214190789096412155"
+    ,"15.86959874461221647760760269963155031595848150772695"
+    ,"27.46172054213435946038727460195592342721862288816812"
+    ,"54.64250508485402729556251663145824730270508661240771"
+    ,"96.08542140594972502872131946513104238293824803599579"
+    ,"222.0936743583156040996433943128676567542497584689499"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = tgamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(tgamma2_test, T, all_float_types) {
+  //const T eps = 5000 * boost::math::tools::epsilon<T>(); // ok for non-multiprecision
+  const T eps = 500000 * boost::math::tools::epsilon<T>(); // percent
+  constexpr unsigned m = 10;
+  const T cx = -1.5;
+  // Mathematica: N[Table[D[Gamma[x],{x,n}] /. x->-3/2, {n, 0, 10}], 52]
+  constexpr std::array<const char *, m + 1> answers{
+    {"2.363271801207354703064223311121526910396732608163183"
+    ,"1.661750260668596505586468565464938761014714509096807"
+    ,"23.33417984355457252918927856618603412638766668207679"
+    ,"47.02130025080143055642555842335081335790754507072526"
+    ,"1148.336052788822231948472800239024335856568111484074"
+    ,"3831.214710988836934569706027888431190714054814541186"
+    ,"138190.9008816865362698874238213771413807566436072179"
+    ,"644956.0066517306036921195893233874126907491308967028"
+    ,"3.096453684470713902448094810299787572782887316764214e7"
+    ,"1.857893143852025058151037296906468662709947415219451e8"
+    ,"1.114762466163487983067783853825224537320312784955935e10"}};
+  auto x = make_fvar<T, m>(cx);
+  auto y = tgamma(x);
+  for (auto i : boost::irange(m + 1)) {
+    const T answer = boost::lexical_cast<T>(answers[i]);
+    BOOST_CHECK_CLOSE(y.derivative(i), answer, eps);
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_4.cpp b/src/boost/libs/math/test/test_autodiff_4.cpp
new file mode 100644
index 000000000..842d7e471
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_4.cpp
@@ -0,0 +1,194 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_4)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lround_llround_lltrunc_truncl, T,
+                              all_float_types) {
+  using boost::math::llround;
+  using boost::math::lltrunc;
+  using boost::math::lround;
+  using boost::multiprecision::llround;
+  using boost::multiprecision::lltrunc;
+  using boost::multiprecision::lround;
+  using detail::llround;
+  using detail::lltrunc;
+  using detail::lround;
+  using detail::truncl;
+  using std::truncl;
+
+  constexpr std::size_t m = 3;
+  const auto &cx = static_cast<T>(3.25);
+  auto x = make_fvar<T, m>(cx);
+  auto yl = lround(x);
+  BOOST_CHECK_EQUAL(yl, lround(cx));
+  auto yll = llround(x);
+  BOOST_CHECK_EQUAL(yll, llround(cx));
+  BOOST_CHECK_EQUAL(lltrunc(cx), lltrunc(x));
+
+#ifndef BOOST_NO_CXX17_IF_CONSTEXPR
+  if constexpr (!bmp::is_number<T>::value &&
+                !bmp::is_number_expression<T>::value) {
+    BOOST_CHECK_EQUAL(truncl(x), truncl(cx));
+  }
+#endif
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equality, T, all_float_types) {
+  BOOST_MATH_STD_USING
+  using boost::math::epsilon_difference;
+  using boost::math::fpclassify;
+  using boost::math::ulp;
+  using std::fpclassify;
+
+  constexpr std::size_t m = 3;
+  // check zeros
+  {
+    auto x = make_fvar<T, m>(0.0);
+    auto y = T(-0.0);
+    BOOST_CHECK_EQUAL(x.derivative(0u), y);
+  }
+}
+
+#if defined(BOOST_AUTODIFF_TESTING_INCLUDE_MULTIPRECISION)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiprecision, T, multiprecision_float_types) {
+  using boost::multiprecision::fabs;
+  using detail::fabs;
+  using std::fabs;
+
+  const T eps = 3000 * std::numeric_limits<T>::epsilon();
+  constexpr std::size_t Nw = 3;
+  constexpr std::size_t Nx = 2;
+  constexpr std::size_t Ny = 4;
+  constexpr std::size_t Nz = 3;
+  const auto w = make_fvar<T, Nw>(11);
+  const auto x = make_fvar<T, 0, Nx>(12);
+  const auto y = make_fvar<T, 0, 0, Ny>(13);
+  const auto z = make_fvar<T, 0, 0, 0, Nz>(14);
+  const auto v =
+      mixed_partials_f(w, x, y, z); // auto = autodiff_fvar<T,Nw,Nx,Ny,Nz>
+  // Calculated from Mathematica symbolic differentiation.
+  const T answer = boost::lexical_cast<T>(
+      "1976.3196007477977177798818752904187209081211892187"
+      "5499076582535951111845769110560421820940516423255314");
+  // BOOST_CHECK_CLOSE(v.derivative(Nw,Nx,Ny,Nz), answer, eps); // Doesn't work
+  // for cpp_dec_float
+  const T relative_error =
+      static_cast<T>(fabs(v.derivative(Nw, Nx, Ny, Nz) / answer - 1));
+  BOOST_CHECK_LT(relative_error, eps);
+}
+#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(acosh_hpp, T, all_float_types) {
+  using boost::math::acosh;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{1, 100};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto autodiff_v = acosh(make_fvar<T, m>(x));
+    auto anchor_v = acosh(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asinh_hpp, T, all_float_types) {
+  using boost::math::asinh;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-100, 100};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+
+    auto autodiff_v = asinh(make_fvar<T, m>(x));
+    auto anchor_v = asinh(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atanh_hpp, T, all_float_types) {
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using boost::math::atanh;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), T(0));
+
+    auto autodiff_v = atanh(make_fvar<T, m>(x));
+    auto anchor_v = atanh(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atan_hpp, T, all_float_types) {
+  using boost::math::float_prior;
+  using boost::math::fpclassify;
+  using boost::math::signbit;
+  using boost::math::differentiation::detail::atan;
+  using boost::multiprecision::atan;
+  using boost::multiprecision::fabs;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::signbit;
+  using detail::fabs;
+  using std::atan;
+  using std::fabs;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = T(1);
+    while (fpclassify(T(fabs(x) - 1)) == FP_ZERO) {
+      x = x_sampler.next();
+    }
+
+    auto autodiff_v = atan(make_fvar<T, m>(x));
+    auto anchor_v = atan(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bernoulli_hpp, T, all_float_types) {
+
+  using boost::multiprecision::min;
+  using std::min;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    {
+      auto autodiff_v = boost::math::bernoulli_b2n<autodiff_fvar<T, m>>(i);
+      auto anchor_v = boost::math::bernoulli_b2n<T>(i);
+      BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                        50 * test_constants::pct_epsilon());
+    }
+    {
+      auto i_ = (min)(19, i);
+      auto autodiff_v = boost::math::tangent_t2n<autodiff_fvar<T, m>>(i_);
+      auto anchor_v = boost::math::tangent_t2n<T>(i_);
+      BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                        50 * test_constants::pct_epsilon());
+    }
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_5.cpp b/src/boost/libs/math/test/test_autodiff_5.cpp
new file mode 100644
index 000000000..4681e1a53
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_5.cpp
@@ -0,0 +1,121 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+#include <boost/math/special_functions.hpp>
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_5)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(binomial_hpp, T, all_float_types) {
+  using boost::multiprecision::min;
+  using std::fabs;
+  using std::min;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<unsigned> n_sampler{0u, 30u};
+  test_detail::RandomSample<unsigned> r_sampler{0u, 30u};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto n = n_sampler.next();
+    auto r = n == 0 ? 0 : (min)(r_sampler.next(), n - 1);
+
+    // This is a hard function to test for type float due to a specialization of
+    // boost::math::binomial_coefficient
+    auto autodiff_v =
+        std::is_same<T, float>::value
+            ? make_fvar<T, m>(boost::math::binomial_coefficient<T>(n, r))
+            : boost::math::binomial_coefficient<T>(n, r);
+    auto anchor_v = boost::math::binomial_coefficient<T>(n, r);
+    BOOST_CHECK_EQUAL(autodiff_v.derivative(0u), anchor_v);
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cbrt_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::cbrt(make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::cbrt(x), 50 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(chebyshev_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  {
+    test_detail::RandomSample<unsigned> n_sampler{0u, 10u};
+    test_detail::RandomSample<T> x_sampler{-2, 2};
+    for (auto i : boost::irange(test_constants::n_samples)) {
+      std::ignore = i;
+      auto n = n_sampler.next();
+      auto x = x_sampler.next();
+      BOOST_CHECK_CLOSE(
+          boost::math::chebyshev_t(n, make_fvar<T, m>(x)).derivative(0u),
+          boost::math::chebyshev_t(n, x), 40 * test_constants::pct_epsilon());
+
+      BOOST_CHECK_CLOSE(
+          boost::math::chebyshev_u(n, make_fvar<T, m>(x)).derivative(0u),
+          boost::math::chebyshev_u(n, x), 40 * test_constants::pct_epsilon());
+
+      BOOST_CHECK_CLOSE(
+          boost::math::chebyshev_t_prime(n, make_fvar<T, m>(x)).derivative(0u),
+          boost::math::chebyshev_t_prime(n, x),
+          40 * test_constants::pct_epsilon());
+
+      /*/usr/include/boost/math/special_functions/chebyshev.hpp:164:40: error:
+       cannot convert
+       boost::math::differentiation::autodiff_v1::detail::fvar<double, 3> to
+       double in return
+       BOOST_CHECK_EQUAL(boost::math::chebyshev_clenshaw_recurrence(c.data(),c.size(),make_fvar<T,m>(0.20))
+       ,
+       boost::math::chebyshev_clenshaw_recurrence(c.data(),c.size(),static_cast<T>(0.20)));*/
+      /*try {
+        std::array<T, 4> c0{{14.2, -13.7, 82.3, 96}};
+        BOOST_CHECK_CLOSE(boost::math::chebyshev_clenshaw_recurrence(c0.data(),
+      c0.size(), make_fvar<T,m>(x)),
+                                     boost::math::chebyshev_clenshaw_recurrence(c0.data(),
+      c0.size(), x), 10*test_constants::pct_epsilon()); } catch (...) {
+        std::rethrow_exception(std::exception_ptr(std::current_exception()));
+      }*/
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cospi_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::cos_pi(make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::cos_pi(x), test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(digamma_hpp, T, all_float_types) {
+
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto autodiff_v = boost::math::digamma(make_fvar<T, m>(x));
+    auto anchor_v = boost::math::digamma(x);
+    BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                      1e4 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_6.cpp b/src/boost/libs/math/test/test_autodiff_6.cpp
new file mode 100644
index 000000000..1df13bc8b
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_6.cpp
@@ -0,0 +1,281 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+#include <boost/math/special_functions.hpp>
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_6)
+
+/*********************************************************************************************************************
+ * special functions tests
+ *********************************************************************************************************************/
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_1_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{T{-1}, T{1}};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::ellint_1(make_fvar<T, m>(k)).derivative(0u),
+                      boost::math::ellint_1(k),
+                      2.5e3 * test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_1(make_fvar<T, m>(k), make_fvar<T, m>(phi))
+            .derivative(0u),
+        boost::math::ellint_1(k, phi), 1e4 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_2_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::ellint_2(make_fvar<T, m>(k)).derivative(0u),
+                      boost::math::ellint_2(k),
+                      2.5e3 * test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_2(make_fvar<T, m>(k), make_fvar<T, m>(phi))
+            .derivative(0u),
+        boost::math::ellint_2(k, phi), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_3_hpp, T, all_float_types) {
+  using boost::math::nextafter;
+  using boost::multiprecision::nextafter;
+
+  using boost::math::differentiation::detail::sin;
+  using boost::multiprecision::min;
+  using std::min;
+  using std::sin;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{-1, 1};
+  test_detail::RandomSample<T> n_sampler{-2000, 2000};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    auto n = (min)((min)(n_sampler.next(), T(1) / (sin(phi) * sin(phi))),
+                   nextafter(T(1), T(0)));
+    BOOST_CHECK_CLOSE(boost::math::ellint_3(make_fvar<T, m>(k),
+                                            make_fvar<T, m>(n),
+                                            make_fvar<T, m>(phi))
+                          .derivative(0u),
+                      boost::math::ellint_3(k, n, phi),
+                      2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_d_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::ellint_d(make_fvar<T, m>(k)).derivative(0u),
+                      boost::math::ellint_d(k),
+                      2.5e3 * test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_d(make_fvar<T, m>(k), make_fvar<T, m>(phi))
+            .derivative(0u),
+        boost::math::ellint_d(k, phi), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rf_hpp, T, all_float_types) {
+
+  using boost::math::tools::max;
+  using std::max;
+
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto y = nextafter(y_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto z = nextafter(z_sampler.next(), ((std::numeric_limits<T>::max))());
+
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rf(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z))
+            .derivative(0u),
+        boost::math::ellint_rf(x, y, z), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rc_hpp, T, all_float_types) {
+  using boost::math::fpclassify;
+  using boost::math::nextafter;
+  using boost::math::signbit;
+  using boost::math::tools::max;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::signbit;
+  using std::max;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = T(0);
+    while (fpclassify(T(y)) == FP_ZERO) {
+      y = (max)(y_sampler.next(),
+                nextafter(T(0), T(signbit(y) ? -1 : 1) *
+                                    ((std::numeric_limits<T>::max))()));
+    }
+
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rc(make_fvar<T, m>(x), make_fvar<T, m>(y))
+            .derivative(0u),
+        boost::math::ellint_rc(x, y), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rj_hpp, T, all_float_types) {
+  using boost::math::fpclassify;
+  using boost::math::nextafter;
+  using boost::math::signbit;
+  using boost::math::tools::max;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::signbit;
+
+  using std::max;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+  test_detail::RandomSample<T> p_sampler{-2000, 2000};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = (x != 0 ? 1 : 0) + y_sampler.next();
+    auto z = ((x == 0 || y == 0) ? 1 : 0) + z_sampler.next();
+    auto p = T(0);
+
+    while (fpclassify(T(p)) == FP_ZERO) {
+      p = (max)(p_sampler.next(),
+                nextafter(T(0), T(signbit(p) ? -1 : 1) *
+                                    ((std::numeric_limits<T>::max))()));
+    }
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rj(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z), make_fvar<T, m>(p))
+            .derivative(0u),
+        boost::math::ellint_rj(x, y, z, p),
+        2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rd_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = (x == 0 ? 1 : 0) + y_sampler.next();
+    auto z = z_sampler.next();
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rd(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z))
+            .derivative(0u),
+        boost::math::ellint_rd(x, y, z), 2.5e3 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ellint_rg_hpp, T, all_float_types) {
+
+  using boost::math::nextafter;
+  using std::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  test_detail::RandomSample<T> y_sampler{0, 2000};
+  test_detail::RandomSample<T> z_sampler{0, 2000};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = nextafter(x_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto y = nextafter(y_sampler.next(), ((std::numeric_limits<T>::max))());
+    auto z = z_sampler.next();
+    BOOST_CHECK_CLOSE(
+        boost::math::ellint_rg(make_fvar<T, m>(x), make_fvar<T, m>(y),
+                               make_fvar<T, m>(z))
+            .derivative(0u),
+        boost::math::ellint_rg(x, y, z), 50 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(erf_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+
+    BOOST_CHECK(isNearZero(erf(make_fvar<T, m>(x)).derivative(0u) -
+                           boost::math::erf(x)));
+    BOOST_CHECK(isNearZero(erfc(make_fvar<T, m>(x)).derivative(0u) -
+                           boost::math::erfc(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(expint_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{1, 83};
+  for (auto n :
+       boost::irange(1u, static_cast<unsigned>(test_constants::n_samples))) {
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::expint(n, make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::expint(n, x),
+                      200 * test_constants::pct_epsilon());
+
+    for (auto y : {-1, 1}) {
+      BOOST_CHECK_CLOSE(
+          boost::math::expint(make_fvar<T, m>(x * y)).derivative(0u),
+          boost::math::expint(x * y), 200 * test_constants::pct_epsilon());
+    }
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_7.cpp b/src/boost/libs/math/test/test_autodiff_7.cpp
new file mode 100644
index 000000000..c41d806ae
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_7.cpp
@@ -0,0 +1,67 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_7)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(expm1_hpp, T, all_float_types) {
+  using boost::math::differentiation::detail::log;
+  using boost::multiprecision::log;
+  using std::log;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-log(T(2000)), log(T(2000))};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK_CLOSE(boost::math::expm1(make_fvar<T, m>(x)).derivative(0u),
+                      boost::math::expm1(x),
+                      50 * test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(fpclassify_hpp, T, all_float_types) {
+  using boost::math::fpclassify;
+  using boost::math::isfinite;
+  using boost::math::isinf;
+  using boost::math::isnan;
+  using boost::math::isnormal;
+  using boost::multiprecision::fpclassify;
+  using boost::multiprecision::isfinite;
+  using boost::multiprecision::isinf;
+  using boost::multiprecision::isnan;
+  using boost::multiprecision::isnormal;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1000, 1000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+
+    BOOST_CHECK_EQUAL(fpclassify(make_fvar<T, m>(0)), FP_ZERO);
+    BOOST_CHECK_EQUAL(fpclassify(make_fvar<T, m>(10)), FP_NORMAL);
+    BOOST_CHECK_EQUAL(
+        fpclassify(make_fvar<T, m>(std::numeric_limits<T>::infinity())),
+        FP_INFINITE);
+    BOOST_CHECK_EQUAL(
+        fpclassify(make_fvar<T, m>(std::numeric_limits<T>::quiet_NaN())),
+        FP_NAN);
+    if (std::numeric_limits<T>::has_denorm != std::denorm_absent) {
+      BOOST_CHECK_EQUAL(
+          fpclassify(make_fvar<T, m>(std::numeric_limits<T>::denorm_min())),
+          FP_SUBNORMAL);
+    }
+
+    BOOST_CHECK(isfinite(make_fvar<T, m>(0)));
+    BOOST_CHECK(isnormal(make_fvar<T, m>((std::numeric_limits<T>::min)())));
+    BOOST_CHECK(
+        !isnormal(make_fvar<T, m>(std::numeric_limits<T>::denorm_min())));
+    BOOST_CHECK(isinf(make_fvar<T, m>(std::numeric_limits<T>::infinity())));
+    BOOST_CHECK(isnan(make_fvar<T, m>(std::numeric_limits<T>::quiet_NaN())));
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_autodiff_8.cpp b/src/boost/libs/math/test/test_autodiff_8.cpp
new file mode 100644
index 000000000..a879b9e3e
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_8.cpp
@@ -0,0 +1,507 @@
+//           Copyright Matthew Pulver 2018 - 2019.
+// Distributed under the Boost Software License, Version 1.0.
+//      (See accompanying file LICENSE_1_0.txt or copy at
+//           https://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_autodiff.hpp"
+#include <boost/math/special_functions.hpp>
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_8)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hermite_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-200, 200};
+  for (auto i : boost::irange(14u)) {
+    auto x = x_sampler.next();
+    auto autodiff_v = boost::math::hermite(i, make_fvar<T, m>(x));
+    auto anchor_v = boost::math::hermite(i, x);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(heuman_lambda_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto phi = phi_sampler.next();
+    auto autodiff_v =
+        boost::math::heuman_lambda(make_fvar<T, m>(x), make_fvar<T, m>(phi));
+    auto anchor_v = boost::math::heuman_lambda(x, phi);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hypot_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  test_detail::RandomSample<T> y_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto y = y_sampler.next();
+    auto autodiff_v =
+        boost::math::hypot(make_fvar<T, m>(x), make_fvar<T, m>(y));
+    auto anchor_v = boost::math::hypot(x, y);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi_elliptic_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> k_sampler{0, 1};
+  test_detail::RandomSample<T> theta_sampler{-100, 100};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto k = k_sampler.next();
+    auto theta = theta_sampler.next();
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_cd(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_cd(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_cn(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_cn(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_cs(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_cs(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_dc(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_dc(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_dn(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_dn(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_ds(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_ds(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_nc(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_nc(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_nd(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_nd(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_ns(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_ns(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_sc(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_sc(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_sd(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_sd(k, theta)));
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_sn(make_fvar<T, m>(k), make_fvar<T, m>(theta))
+            .derivative(0u) -
+        boost::math::jacobi_sn(k, theta)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi_zeta_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 1};
+  test_detail::RandomSample<T> phi_sampler{-boost::math::constants::two_pi<T>(),
+                                           boost::math::constants::two_pi<T>()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    auto phi = phi_sampler.next();
+    BOOST_CHECK(isNearZero(
+        boost::math::jacobi_zeta(make_fvar<T, m>(x), make_fvar<T, m>(phi))
+            .derivative(0u) -
+        boost::math::jacobi_zeta(x, phi)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(laguerre_hpp, T, all_float_types) {
+  using boost::multiprecision::min;
+  using std::min;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<unsigned> n_sampler{1, 50};
+  test_detail::RandomSample<unsigned> r_sampler{0, 50};
+  test_detail::RandomSample<T> x_sampler{0, 50};
+
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto n = n_sampler.next();
+    auto r = (min)(n - 1, r_sampler.next());
+    auto x = x_sampler.next();
+
+    {
+      auto autodiff_v = boost::math::laguerre(n, make_fvar<T, m>(x));
+      auto anchor_v = boost::math::laguerre(n, x);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+    {
+      auto autodiff_v = boost::math::laguerre(n, r, make_fvar<T, m>(x));
+      auto anchor_v = boost::math::laguerre(n, r, x);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lambert_w_hpp, T, all_float_types) {
+  using boost::math::nextafter;
+  using boost::math::tools::max;
+  using boost::multiprecision::fabs;
+  using boost::multiprecision::min;
+  using detail::fabs;
+  using std::fabs;
+  using std::max;
+  using std::min;
+  using std::nextafter;
+
+  using promoted_t = promote<T, double>;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{static_cast<T>(-1 / std::exp(-1)),
+                                         ((std::numeric_limits<T>::max))()};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    {
+      auto x_ = (min<T>)(static_cast<T>(((max<promoted_t>))(
+                             -exp(promoted_t(-1)), promoted_t(x))),
+                         ((std::numeric_limits<T>::max))());
+      {
+        auto autodiff_v = boost::math::lambert_w0(make_fvar<T, m>(x_));
+        auto anchor_v = boost::math::lambert_w0(x_);
+        BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+      }
+      {
+        auto autodiff_v = boost::math::lambert_w0_prime(make_fvar<T, m>(x_));
+        auto anchor_v = boost::math::lambert_w0_prime(x_);
+        BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+      }
+    }
+
+    {
+      auto x_ = nextafter(
+          static_cast<T>(nextafter(
+              ((max))(static_cast<promoted_t>(-exp(-1)), -fabs(promoted_t(x))),
+              ((std::numeric_limits<promoted_t>::max))())),
+          ((std::numeric_limits<T>::max))());
+      x_ = (max)(static_cast<T>(-0.36), x_);
+      BOOST_CHECK(isNearZero(
+          boost::math::lambert_wm1(make_fvar<T, m>(x_)).derivative(0u) -
+          boost::math::lambert_wm1(x_)));
+      BOOST_CHECK(isNearZero(
+          boost::math::lambert_wm1_prime(make_fvar<T, m>(x_)).derivative(0u) -
+          boost::math::lambert_wm1_prime(x_)));
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(log1p_hpp, T, all_float_types) {
+  using boost::math::log1p;
+  using boost::multiprecision::log1p;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(log1p(make_fvar<T, m>(x)).derivative(0u) - log1p(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(next_hpp, T, all_float_types) {
+  using boost::math::float_advance;
+  using boost::math::float_distance;
+  using boost::math::float_next;
+  using boost::math::float_prior;
+  using boost::math::nextafter;
+  using boost::multiprecision::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    const auto j = static_cast<T>(i);
+    auto fvar_j = make_fvar<T, m>(j);
+    BOOST_CHECK(isNearZero(float_next(fvar_j).derivative(0u) - float_next(j)));
+    BOOST_CHECK(
+        isNearZero(float_prior(fvar_j).derivative(0u) - float_prior(j)));
+
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(1))).derivative(0u) -
+        nextafter(j, static_cast<T>(1))));
+    BOOST_CHECK(
+        isNearZero(nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(i + 2))) -
+                   nextafter(j, static_cast<T>(i + 2))));
+    BOOST_CHECK(
+        isNearZero(nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(i + 1)))
+                       .derivative(0u) -
+                   nextafter(j, static_cast<T>(i + 2))));
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(-1))).derivative(0u) -
+        nextafter(j, static_cast<T>(-1))));
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(-1 * (i + 2))))
+            .derivative(0u) -
+        nextafter(j, -1 * static_cast<T>(i + 2))));
+
+    BOOST_CHECK(isNearZero(
+        nextafter(fvar_j, make_fvar<T, m>(static_cast<T>(-1 * (i + 1))))
+            .derivative(0u) -
+        nextafter(j, -1 * static_cast<T>(i + 2))));
+
+    BOOST_CHECK(isNearZero(nextafter(fvar_j, fvar_j) - fvar_j));
+
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, 1).derivative(0u) -
+                           float_advance(j, 1)));
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, i + 2).derivative(0u) -
+                           float_advance(j, i + 2)));
+    BOOST_CHECK(isNearZero(
+        float_advance(fvar_j, i + 1).derivative(0u) -
+        float_advance(float_advance(fvar_j, i + 2), -1).derivative(0u)));
+
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, -1).derivative(0u) -
+                           float_advance(j, -1)));
+
+    BOOST_CHECK(isNearZero(
+        float_advance(fvar_j, -i - 1).derivative(0u) -
+        float_advance(float_advance(fvar_j, -i - 2), 1).derivative(0u)));
+
+    BOOST_CHECK(isNearZero(float_advance(fvar_j, 0) - fvar_j));
+
+    BOOST_CHECK(isNearZero(float_distance(fvar_j, j).derivative(0u) -
+                           static_cast<T>(0)));
+    BOOST_CHECK(
+        isNearZero(float_distance(float_next(fvar_j), fvar_j).derivative(0u) -
+                   ((make_fvar<T, m>(-1))).derivative(0u)));
+    BOOST_CHECK(
+        isNearZero(float_distance(float_prior(fvar_j), fvar_j).derivative(0u) -
+                   (make_fvar<T, m>(1)).derivative(0u)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(owens_t_hpp, T, bin_float_types) {
+  BOOST_MATH_STD_USING;
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> h_sampler{-2000, 2000};
+  test_detail::RandomSample<T> a_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto h = h_sampler.next();
+    auto a = a_sampler.next();
+    auto autodiff_v =
+        boost::math::owens_t(make_fvar<T, m>(h), make_fvar<T, m>(a));
+    auto anchor_v = boost::math::owens_t(h, a);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  for (auto i : boost::irange(10)) {
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<0>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<0>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<1>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<1>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<2>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<2>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<3>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<3>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<4>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<4>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<5>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<5>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<6>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<6>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<7>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<7>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<8>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<8>(static_cast<T>(i)), test_constants::pct_epsilon());
+    BOOST_CHECK_CLOSE(
+        boost::math::pow<9>(make_fvar<T, m>(static_cast<T>(i))).derivative(0u),
+        boost::math::pow<9>(static_cast<T>(i)), test_constants::pct_epsilon());
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(polygamma_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    auto x = x_sampler.next();
+    try {
+      auto autodiff_v = boost::math::polygamma(i, make_fvar<T, m>(x));
+      auto anchor_v = boost::math::polygamma(i, x);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    } catch (const std::overflow_error &) {
+      std::cout << "Overflow Error thrown with inputs i: " << i << " x: " << x
+                << std::endl;
+      BOOST_CHECK_THROW(boost::math::polygamma(i, make_fvar<T, m>(x)),
+                        boost::wrapexcept<std::overflow_error>);
+      BOOST_CHECK_THROW(boost::math::polygamma(i, x),
+                        boost::wrapexcept<std::overflow_error>);
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(powm1_hpp, T, all_float_types) {
+  using boost::math::tools::max;
+  using boost::multiprecision::max;
+  using std::max;
+
+  using boost::multiprecision::log;
+  using detail::log;
+  using std::log;
+
+  using boost::multiprecision::min;
+  using std::min;
+
+  using boost::multiprecision::sqrt;
+  using detail::sqrt;
+  using std::sqrt;
+
+  using boost::math::nextafter;
+  using boost::multiprecision::nextafter;
+
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = ((max))(x_sampler.next(),
+                     boost::math::nextafter(static_cast<T>(0),
+                                            ((std::numeric_limits<T>::max))()));
+
+    auto y =
+        ((min))(x_sampler.next(),
+                log(sqrt(((std::numeric_limits<T>::max))()) + 1) / log(x + 1));
+    auto autodiff_v =
+        boost::math::powm1(make_fvar<T, m>(x), make_fvar<T, m>(y));
+    auto anchor_v = boost::math::powm1(x, y);
+    BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sin_pi_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-2000, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(boost::math::sin_pi(make_fvar<T, m>(x)).derivative(0u) -
+                   boost::math::sin_pi(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sinhc_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{ -80, 80 };
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    if (x != 0) {
+      auto autodiff_v = boost::math::sinhc_pi(make_fvar<T, m>(x));
+      auto anchor_v = boost::math::sinhc_pi(x);
+      BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+                        50 * test_constants::pct_epsilon());
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(spherical_harmonic_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> theta_sampler{0,
+                                             boost::math::constants::pi<T>()};
+  test_detail::RandomSample<T> phi_sampler{0,
+                                           boost::math::constants::two_pi<T>()};
+  test_detail::RandomSample<int> r_sampler{0, test_constants::n_samples};
+  for (auto n : boost::irange(
+           1u, static_cast<unsigned>(test_constants::n_samples) + 1u)) {
+    auto theta = theta_sampler.next();
+    auto phi = phi_sampler.next();
+    auto r = (std::min)(static_cast<int>(n) - 1, r_sampler.next());
+    {
+      auto autodiff_v = boost::math::spherical_harmonic(
+          n, r, make_fvar<T, m>(theta), make_fvar<T, m>(phi));
+      auto anchor_v = boost::math::spherical_harmonic(n, r, theta, phi);
+      BOOST_CHECK(
+          isNearZero(autodiff_v.real().derivative(0u) - anchor_v.real()));
+      BOOST_CHECK(
+          isNearZero(autodiff_v.imag().derivative(0u) - anchor_v.imag()));
+    }
+
+    {
+      auto autodiff_v = boost::math::spherical_harmonic_r(
+          n, r, make_fvar<T, m>(theta), make_fvar<T, m>(phi));
+      auto anchor_v = boost::math::spherical_harmonic_r(n, r, theta, phi);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+
+    {
+      auto autodiff_v = boost::math::spherical_harmonic_i(
+          n, r, make_fvar<T, m>(theta), make_fvar<T, m>(phi));
+      auto anchor_v = boost::math::spherical_harmonic_i(n, r, theta, phi);
+      BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v));
+    }
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt1pm1_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{-1, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(boost::math::sqrt1pm1(make_fvar<T, m>(x)).derivative(0u) -
+                   boost::math::sqrt1pm1(x)));
+  }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(trigamma_hpp, T, all_float_types) {
+  using test_constants = test_constants_t<T>;
+  static constexpr auto m = test_constants::order;
+  test_detail::RandomSample<T> x_sampler{0, 2000};
+  for (auto i : boost::irange(test_constants::n_samples)) {
+    std::ignore = i;
+    auto x = x_sampler.next();
+    BOOST_CHECK(
+        isNearZero(boost::math::trigamma(make_fvar<T, m>(x)).derivative(0u) -
+                   boost::math::trigamma(x)));
+  }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/boost/libs/math/test/test_barycentric_rational.cpp b/src/boost/libs/math/test/test_barycentric_rational.cpp
new file mode 100644
index 000000000..21d3b99dd
--- /dev/null
+++ b/src/boost/libs/math/test/test_barycentric_rational.cpp
@@ -0,0 +1,295 @@
+// Copyright Nick Thompson, 2017
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE barycentric_rational
+
+#include <cmath>
+#include <random>
+#include <boost/random/uniform_real_distribution.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/interpolators/barycentric_rational.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+#endif
+
+using std::sqrt;
+using std::abs;
+using std::numeric_limits;
+using boost::multiprecision::cpp_bin_float_50;
+
+template<class Real>
+void test_interpolation_condition()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = dis(gen);
+    y[0] = dis(gen);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = dis(gen);
+    }
+
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size());
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real z = interpolator(x[i]);
+        BOOST_CHECK_CLOSE(z, y[i], 100*numeric_limits<Real>::epsilon());
+    }
+
+    // Make sure that the move constructor does the same thing:
+    std::vector<Real> x_copy = x;
+    std::vector<Real> y_copy = y;
+    boost::math::barycentric_rational<Real> move_interpolator(std::move(x), std::move(y));
+
+    for (size_t i = 0; i < x_copy.size(); ++i)
+    {
+        Real z = move_interpolator(x_copy[i]);
+        BOOST_CHECK_CLOSE(z, y_copy[i], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition_high_order()
+{
+    std::cout << "Testing interpolation condition in high order for barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(5);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = dis(gen);
+    y[0] = dis(gen);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = dis(gen);
+    }
+
+    // Order 5 approximation:
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size(), 5);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real z = interpolator(x[i]);
+        BOOST_CHECK_CLOSE(z, y[i], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_constant()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    Real constant = -8;
+    x[0] = dis(gen);
+    y[0] = constant;
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = y[0];
+    }
+
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size());
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = x[i] + dis(gen);
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, constant, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(interpolator.prime(t), sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+template<class Real>
+void test_constant_high_order()
+{
+    std::cout << "Testing that constants are interpolated correctly in high order using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(7);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    Real constant = 5;
+    x[0] = dis(gen);
+    y[0] = constant;
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = y[0];
+    }
+
+    // Set interpolation order to 7:
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size(), 7);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real t = x[i] + dis(gen);
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, constant, 1000*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(interpolator.prime(t), 100*sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_runge()
+{
+    std::cout << "Testing interpolation of Runge's 1/(1+25x^2) function using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(8);
+    boost::random::uniform_real_distribution<Real> dis(0.005f, 0.01f);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = -2;
+    y[0] = 1/(1+25*x[0]*x[0]);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = 1/(1+25*x[i]*x[i]);
+    }
+
+    boost::math::barycentric_rational<Real> interpolator(x.data(), y.data(), y.size(), 5);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real t = x[i];
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, y[i], 0.03);
+        Real z_prime = interpolator.prime(t);
+        Real num = -50*t;
+        Real denom = (1+25*t*t)*(1+25*t*t);
+        if (abs(num/denom) > 0.00001)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(z_prime, num/denom, 0.03);
+        }
+    }
+
+
+    Real tol = 0.0001;
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real t = x[i] + dis(gen);
+        Real z = interpolator(t);
+        BOOST_CHECK_CLOSE(z, 1/(1+25*t*t), tol);
+        Real z_prime = interpolator.prime(t);
+        Real num = -50*t;
+        Real denom = (1+25*t*t)*(1+25*t*t);
+        Real runge_prime = num/denom;
+
+        if (abs(runge_prime) > 0 && abs(z_prime - runge_prime)/abs(runge_prime) > tol)
+        {
+            std::cout << "Error too high for t = " << t << " which is a distance " << t - x[i] << " from node " << i << "/" << x.size() << " associated with data (" << x[i] << ", " << y[i] << ")\n";
+            BOOST_CHECK_CLOSE_FRACTION(z_prime, runge_prime, tol);
+        }
+    }
+}
+
+template<class Real>
+void test_weights()
+{
+    std::cout << "Testing weights are calculated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(9);
+    boost::random::uniform_real_distribution<Real> dis(0.005, 0.01);
+    std::vector<Real> x(100);
+    std::vector<Real> y(100);
+    x[0] = -2;
+    y[0] = 1/(1+25*x[0]*x[0]);
+    for (size_t i = 1; i < x.size(); ++i)
+    {
+        x[i] = x[i-1] + dis(gen);
+        y[i] = 1/(1+25*x[i]*x[i]);
+    }
+
+    boost::math::detail::barycentric_rational_imp<Real> interpolator(x.data(), x.data() + x.size(), y.data(), 0);
+
+    for (size_t i = 0; i < x.size(); ++i)
+    {
+        Real w = interpolator.weight(i);
+        if (i % 2 == 0)
+        {
+            BOOST_CHECK_CLOSE(w, 1, 0.00001);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE(w, -1, 0.00001);
+        }
+    }
+
+    // d = 1:
+    interpolator = boost::math::detail::barycentric_rational_imp<Real>(x.data(), x.data() + x.size(), y.data(), 1);
+
+    for (size_t i = 1; i < x.size() -1; ++i)
+    {
+        Real w = interpolator.weight(i);
+        Real w_expect = 1/(x[i] - x[i - 1]) + 1/(x[i+1] - x[i]);
+        if (i % 2 == 0)
+        {
+            BOOST_CHECK_CLOSE(w, -w_expect, 0.00001);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE(w, w_expect, 0.00001);
+        }
+    }
+
+}
+
+
+BOOST_AUTO_TEST_CASE(barycentric_rational)
+{
+    // The tests took too long at the higher precisions.
+    // They still pass, but the CI system is starting to time out,
+    // so I figured it'd be polite to comment out the most expensive tests.
+    test_weights<double>();
+
+    test_constant<float>();
+    //test_constant<double>();
+    test_constant<long double>();
+    //test_constant<cpp_bin_float_50>();
+
+    //test_constant_high_order<float>();
+    test_constant_high_order<double>();
+    //test_constant_high_order<long double>();
+    //test_constant_high_order<cpp_bin_float_50>();
+
+    test_interpolation_condition<float>();
+    test_interpolation_condition<double>();
+    //test_interpolation_condition<long double>();
+    //test_interpolation_condition<cpp_bin_float_50>();
+
+    //test_interpolation_condition_high_order<float>();
+    test_interpolation_condition_high_order<double>();
+    //test_interpolation_condition_high_order<long double>();
+    //test_interpolation_condition_high_order<cpp_bin_float_50>();
+
+    test_runge<double>();
+    //test_runge<long double>();
+    //test_runge<cpp_bin_float_50>();
+
+#ifdef BOOST_HAS_FLOAT128
+    //test_interpolation_condition<boost::multiprecision::float128>();
+    //test_constant<boost::multiprecision::float128>();
+    //test_constant_high_order<boost::multiprecision::float128>();
+    //test_interpolation_condition_high_order<boost::multiprecision::float128>();
+    //test_runge<boost::multiprecision::float128>();
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_basic_nonfinite.cpp b/src/boost/libs/math/test/test_basic_nonfinite.cpp
new file mode 100644
index 000000000..20f0e222c
--- /dev/null
+++ b/src/boost/libs/math/test/test_basic_nonfinite.cpp
@@ -0,0 +1,272 @@
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow comments
+// Copyright (c) 2011 John Maddock
+/*!
+\file
+\brief Basic tests of the nonfinite num facets.
+
+\detail If has_infinity and has_nan, then
+basic_test outputs using nonfinite_num_put facet
+and reads back in using nonfinite_num_ facet,
+and checks loopback OK.
+
+Also checks that output of infinity, -infinity and NaN are as expected,
+using C99 specification  "nan -nan nan -nan" and "inf -inf".
+Also includes a few combinations of display manipulators
+(left, right, internal, showpos)
+and checks that can input C99 infinity and NaN too.
+
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702) // Unreachable code.
+#endif
+
+#include <iomanip>
+#include <locale>
+#include <sstream>
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+
+#include "almost_equal.ipp"
+#include "s_.ipp"
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+namespace
+{  // The anonymous namespace resolves ambiguities on
+   // platforms with fpclassify etc functions at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+void basic_test_finite();
+void basic_test_inf();
+void basic_test_nan();
+void basic_test_format();
+
+BOOST_AUTO_TEST_CASE(basic_test)
+{
+    basic_test_finite();
+    basic_test_inf();
+    basic_test_nan();
+    basic_test_format();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_finite_impl();
+
+void basic_test_finite()
+{
+    basic_test_finite_impl<char, float>();
+    basic_test_finite_impl<char, double>();
+    basic_test_finite_impl<char, long double>();
+    basic_test_finite_impl<wchar_t, float>();
+    basic_test_finite_impl<wchar_t, double>();
+    basic_test_finite_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_finite_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = (ValType)1.2;
+    ValType a2 = (ValType)-3.5;
+    ValType a3 = (std::numeric_limits<ValType>::max)();
+    ValType a4 = -(std::numeric_limits<ValType>::max)();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4;
+
+    ValType b1, b2, b3, b4;
+    ss >> b1 >> b2 >> b3 >> b4;
+
+    BOOST_CHECK(almost_equal(b1, a1));
+    BOOST_CHECK(almost_equal(b2, a2));
+    BOOST_CHECK(almost_equal(b3, a3));
+    BOOST_CHECK(almost_equal(b4, a4));
+    BOOST_CHECK(b3 != std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(b4 != -std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ss << "++5";
+    ValType b5;
+    ss >> b5;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_inf_impl();
+
+void basic_test_inf()
+{
+    basic_test_inf_impl<char, float>();
+    basic_test_inf_impl<char, double>();
+    basic_test_inf_impl<char, long double>();
+    basic_test_inf_impl<wchar_t, float>();
+    basic_test_inf_impl<wchar_t, double>();
+    basic_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_inf_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+
+    BOOST_CHECK((boost::math::isinf)(a1));
+    BOOST_CHECK((boost::math::isinf)(a2));
+
+    ss << a1 << ' ' << a2;
+
+    std::basic_string<CharType> s = S_("inf -inf");
+    BOOST_CHECK(ss.str() == s);
+
+    ss << " infinity";          // Alternative C99 representation of infinity.
+
+    ValType b1, b2, b3;
+    ss >> b1;
+    ss >> b2;
+    ss >> b3;
+
+    BOOST_CHECK(b1 == a1);
+    BOOST_CHECK(b2 == a2);
+    BOOST_CHECK(b3 == std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_nan_impl();
+
+void basic_test_nan()
+{
+    basic_test_nan_impl<char, float>();
+    basic_test_nan_impl<char, double>();
+    basic_test_nan_impl<char, long double>();
+    basic_test_nan_impl<wchar_t, float>();
+    basic_test_nan_impl<wchar_t, double>();
+    basic_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_nan_impl()
+{
+    if((std::numeric_limits<ValType>::has_quiet_NaN == 0) || (std::numeric_limits<ValType>::quiet_NaN() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ValType a2 = (boost::math::changesign)(std::numeric_limits<ValType>::quiet_NaN());
+    ValType a3 = std::numeric_limits<ValType>::signaling_NaN();
+    ValType a4 = (boost::math::changesign)(std::numeric_limits<ValType>::signaling_NaN());
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4;
+
+    BOOST_CHECK((boost::math::isnan)(a1) && (boost::math::isnan)(a2) && (boost::math::isnan)(a3) && (boost::math::isnan)(a4));
+
+    std::basic_string<CharType> s = S_("nan -nan nan -nan");
+    BOOST_CHECK(ss.str() == s);
+
+    // Alternative C99 representation of NaN.
+    ss << " nan(foo)";
+
+    ValType b1, b2, b3, b4, b5;
+    ss >> b1 >> b2 >> b3 >> b4 >> b5;
+
+    BOOST_CHECK((isnan)(b1));
+    BOOST_CHECK((isnan)(b2));
+    BOOST_CHECK((isnan)(b3));
+    BOOST_CHECK((isnan)(b4));
+    BOOST_CHECK((isnan)(b5));
+
+    BOOST_CHECK(!(signbit)(b1));
+    BOOST_CHECK((signbit)(b2));
+    BOOST_CHECK(!(signbit)(b3));
+    BOOST_CHECK((signbit)(b4));
+    BOOST_CHECK(!(signbit)(b5));
+
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void basic_test_format_impl();
+
+void basic_test_format()
+{
+    basic_test_format_impl<char, float>();
+    basic_test_format_impl<char, double>();
+    basic_test_format_impl<char, long double>();
+    basic_test_format_impl<wchar_t, float>();
+    basic_test_format_impl<wchar_t, double>();
+    basic_test_format_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void basic_test_format_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a = std::numeric_limits<ValType>::infinity();
+
+    BOOST_CHECK((boost::math::isinf)(a));
+
+    ss << std::setw(6) << a; // Expect right justified in field of six, so 3 leading spaces.
+    ss << '|';
+    ss << std::setw(2) << a; // Too narrow for "inf", but should still be "inf".
+    ss << '|';
+    ss << std::left << std::setw(5) << a; // 5 - 3 leaves two trailing spaces.
+    ss << '|';
+    ss << std::showpos << std::internal << std::setw(7) << a; // 3 internal spaces between + and "inf".
+    ss << '|';
+    ss << std::uppercase << std::right << std::setw(6) << a; // still showpos, so "space, space, +INF".
+
+    std::basic_string<CharType> s = S_("   inf|inf|inf  |+   inf|  +INF");
+    BOOST_CHECK(ss.str() == s);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
diff --git a/src/boost/libs/math/test/test_bernoulli.cpp b/src/boost/libs/math/test/test_bernoulli.cpp
new file mode 100644
index 000000000..dfef8cd32
--- /dev/null
+++ b/src/boost/libs/math/test/test_bernoulli.cpp
@@ -0,0 +1,328 @@
+// test_bernoulli.cpp
+
+// Copyright John Maddock 2006.
+// Copyright  Paul A. Bristow 2007, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for Bernoulli Cumulative Distribution Function.
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4535) // calling _set_se_translator() requires /EHa.
+#  pragma warning (disable : 4244) // conversion possible loss of data.
+#  pragma warning (disable : 4996) // 'putenv': The POSIX name for this item is deprecated.
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#endif
+
+// Default domain error policy is
+// #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+#include <boost/math/tools/test.hpp>
+
+#include <boost/math/distributions/bernoulli.hpp> // for bernoulli_distribution
+using boost::math::bernoulli_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION, BOOST_CHECK_EQUAL...
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::fixed;
+using std::right;
+using std::left;
+using std::showpoint;
+using std::showpos;
+using std::setw;
+using std::setprecision;
+
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{ // Parameter only provides the type, float, double... value ignored.
+
+  // Basic sanity checks, test data may be to double precision only
+  // so set tolerance to 100 eps expressed as a fraction,
+  // or 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+   tolerance *= 100;
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is "
+    << setprecision(3) << tolerance  << " (or " << tolerance * 100 << "%)." << endl;
+
+  // Sources of spot test values - calculator,
+  // or Steve Moshier's command interpreter V1.3 100 decimal digit calculator,
+  // Wolfram function evaluator.
+
+  using boost::math::bernoulli_distribution; // of type RealType.
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  BOOST_CHECK_EQUAL(bernoulli_distribution<RealType>(static_cast<RealType>(0.5)).success_fraction(), static_cast<RealType>(0.5));
+  BOOST_CHECK_EQUAL(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L)).success_fraction(), static_cast<RealType>(0.1L));
+  BOOST_CHECK_EQUAL(bernoulli_distribution<RealType>(static_cast<RealType>(0.9L)).success_fraction(), static_cast<RealType>(0.9L));
+
+  BOOST_MATH_CHECK_THROW( // Constructor success_fraction outside 0 to 1.
+       bernoulli_distribution<RealType>(static_cast<RealType>(2)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+       bernoulli_distribution<RealType>(static_cast<RealType>(-2)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf( // pdf k neither 0 nor 1.
+          bernoulli_distribution<RealType>(static_cast<RealType>(0.25L)), static_cast<RealType>(-1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf( // pdf k neither 0 nor 1.
+          bernoulli_distribution<RealType>(static_cast<RealType>(0.25L)), static_cast<RealType>(2)), std::domain_error);
+ 
+  BOOST_CHECK_EQUAL(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.5L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.5)); // Expect 1 - p.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.4L), tolerance); // Expect  1 - p.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.4L), tolerance); // Expect  1- p.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf( // OK k (or n)
+    bernoulli_distribution<RealType>(static_cast<RealType>(0.4L)), static_cast<RealType>(0)),
+      static_cast<RealType>(0.6L), tolerance); // Expect  1- p.
+
+  BOOST_CHECK_EQUAL(
+       mean(bernoulli_distribution<RealType>(static_cast<RealType>(0.5L))), static_cast<RealType>(0.5L));
+
+  BOOST_CHECK_EQUAL(
+       mean(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(0.1L));
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       variance(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(0.09L),
+       tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       skewness(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(2.666666666666666666666666666666666666666666L),
+       tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(8.11111111111111111111111111111111111111111111L),
+       tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis_excess(bernoulli_distribution<RealType>(static_cast<RealType>(0.1L))),
+       static_cast<RealType>(5.11111111111111111111111111111111111111111111L),
+       tolerance);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(2)), // prob >1
+        static_cast<RealType>(0)), std::domain_error
+     );
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(-1)), // prob < 0
+        static_cast<RealType>(0)), std::domain_error
+     );
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.5L)), // k >1
+        static_cast<RealType>(-1)), std::domain_error
+     );
+  BOOST_MATH_CHECK_THROW(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.5L)), // k < 0
+        static_cast<RealType>(2)), std::domain_error
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0)), 
+        static_cast<RealType>(0.4L), // 1 - p
+        tolerance
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(1)), 
+        static_cast<RealType>(1), // p
+        tolerance
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(1))), 
+        static_cast<RealType>(0),
+        tolerance
+     );
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0))), 
+        static_cast<RealType>(0.6L),
+        tolerance
+     );
+
+  BOOST_CHECK_EQUAL(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.1L)),  // < p
+        static_cast<RealType>(0) 
+     );
+
+  BOOST_CHECK_EQUAL(
+     quantile(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.9L)),  // > p
+        static_cast<RealType>(1) 
+     );
+
+   BOOST_CHECK_EQUAL(
+     quantile(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.1L))),  // < p
+        static_cast<RealType>(1) 
+     );
+
+   BOOST_CHECK_EQUAL(
+     quantile(complement(
+        bernoulli_distribution<RealType>(static_cast<RealType>(0.6L)),
+        static_cast<RealType>(0.9L))),  // > p
+        static_cast<RealType>(0) 
+     );
+
+   // Checks for 'bad' parameters.
+   // Construction.
+   BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(-1), std::domain_error); // p outside 0 to 1.
+   BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(+2), std::domain_error); // p outside 0 to 1.
+
+   // Parameters.
+   bernoulli_distribution<RealType> dist(RealType(1)); 
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, 2), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+     
+   // No longer allow any parameter to be NaN or inf, so all these tests should throw.
+   if (std::numeric_limits<RealType>::has_quiet_NaN)
+   { 
+    // Attempt to construct from non-finite should throw.
+     RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType> b(nan), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(nan), std::domain_error);
+#endif
+    // Non-finite parameters should throw.
+     bernoulli_distribution<RealType> b(RealType(1)); 
+     BOOST_MATH_CHECK_THROW(pdf(b, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(b, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(complement(b, +nan)), std::domain_error); // x = + nan
+     BOOST_MATH_CHECK_THROW(quantile(b, +nan), std::domain_error); // p = + nan
+     BOOST_MATH_CHECK_THROW(quantile(complement(b, +nan)), std::domain_error); // p = + nan
+  } // has_quiet_NaN
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+     RealType inf = std::numeric_limits<RealType>::infinity(); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType> w(inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(inf), std::domain_error);
+#endif
+     bernoulli_distribution<RealType> w(RealType(1)); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType> w(inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(bernoulli_distribution<RealType>(inf), std::domain_error);
+#endif
+     BOOST_MATH_CHECK_THROW(pdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(complement(w, +inf)), std::domain_error); // x = + inf
+     BOOST_MATH_CHECK_THROW(quantile(w, +inf), std::domain_error); // p = + inf
+     BOOST_MATH_CHECK_THROW(quantile(complement(w, +inf)), std::domain_error); // p = + inf
+   } // has_infinity
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Check that can generate bernoulli distribution using both convenience methods:
+   bernoulli_distribution<double> bn1(0.5); // Using default RealType double.
+   boost::math::bernoulli bn2(0.5); // Using typedef. 
+
+  BOOST_CHECK_EQUAL(bn1.success_fraction(), 0.5);
+  BOOST_CHECK_EQUAL(bn2.success_fraction(), 0.5);
+
+  BOOST_CHECK_EQUAL(kurtosis(bn2) -3, kurtosis_excess(bn2));
+  BOOST_CHECK_EQUAL(kurtosis_excess(bn2), -2);
+
+  //using namespace boost::math; or 
+  using boost::math::bernoulli;
+
+  double tol5eps = std::numeric_limits<double>::epsilon() * 5; // 5 eps as a fraction.
+  // Default bernoulli is type double, so these test values should also be type double.
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(bernoulli(0.1)), 5.11111111111111111111111111111111111111111111111111, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(bernoulli(0.9)), 5.11111111111111111111111111111111111111111111111111, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(bernoulli(0.6)), 1./0.4 + 1./0.6 -3., tol5eps);
+  BOOST_CHECK_EQUAL(kurtosis(bernoulli(0)), +std::numeric_limits<double>::infinity());
+  BOOST_CHECK_EQUAL(kurtosis(bernoulli(1)), +std::numeric_limits<double>::infinity());
+ // 
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_bernouilli.exe"
+  Running 1 test case...
+  Tolerance for type float is 1.19e-005 (or 0.00119%).
+  Tolerance for type double is 2.22e-014 (or 2.22e-012%).
+  Tolerance for type long double is 2.22e-014 (or 2.22e-012%).
+  Tolerance for type class boost::math::concepts::real_concept is 2.22e-014 (or 2.22e-012%).
+  
+  *** No errors detected
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_bernoulli_constants.cpp b/src/boost/libs/math/test/test_bernoulli_constants.cpp
new file mode 100644
index 000000000..9f66351c7
--- /dev/null
+++ b/src/boost/libs/math/test/test_bernoulli_constants.cpp
@@ -0,0 +1,236 @@
+//  (C) Copyright John Maddock 2013.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/test/unit_test.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/bernoulli.hpp>
+#include <libs/math/test/table_type.hpp>
+#include <boost/math/tools/test.hpp>
+#include <iostream>
+#include <iomanip>
+
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+
+template <class T>
+void test(const char* name)
+{
+   std::cout << "Testing type " << name << ":\n";
+
+   static const typename table_type<T>::type data[] = 
+   {
+      /* First 50 from 2 to 100 inclusive: */
+      /* TABLE[N[BernoulliB[n], 200], {n,2,100,2}] */
+
+      SC_(0.1666666666666666666666666666666666666666), 
+      SC_(-0.0333333333333333333333333333333333333333), 
+      SC_(0.0238095238095238095238095238095238095238), 
+      SC_(-0.0333333333333333333333333333333333333333), 
+      SC_(0.0757575757575757575757575757575757575757), 
+      SC_(-0.2531135531135531135531135531135531135531), 
+      SC_(1.1666666666666666666666666666666666666666), 
+      SC_(-7.0921568627450980392156862745098039215686), 
+      SC_(54.9711779448621553884711779448621553884711), 
+      SC_(-529.1242424242424242424242424242424242424242), 
+      SC_(6192.1231884057971014492753623188405797101449), 
+      SC_(-86580.2531135531135531135531135531135531135531), 
+      SC_(1.4255171666666666666666666666666666666666e6), 
+      SC_(-2.7298231067816091954022988505747126436781e7), 
+      SC_(6.0158087390064236838430386817483591677140e8), 
+      SC_(-1.5116315767092156862745098039215686274509e10), 
+      SC_(4.2961464306116666666666666666666666666666e11), 
+      SC_(-1.3711655205088332772159087948561632772159e13), 
+      SC_(4.8833231897359316666666666666666666666666e14), 
+      SC_(-1.9296579341940068148632668144863266814486e16), 
+      SC_(8.4169304757368261500055370985603543743078e17), 
+      SC_(-4.0338071854059455413076811594202898550724e19), 
+      SC_(2.1150748638081991605601453900709219858156e21), 
+      SC_(-1.2086626522296525934602731193708252531781e23), 
+      SC_(7.5008667460769643668557200757575757575757e24), 
+      SC_(-5.0387781014810689141378930305220125786163e26), 
+      SC_(3.6528776484818123335110430842971177944862e28), 
+      SC_(-2.8498769302450882226269146432910678160919e30), 
+      SC_(2.3865427499683627644645981919219214971751e32), 
+      SC_(-2.1399949257225333665810744765191097392674e34), 
+      SC_(2.0500975723478097569921733095672310251666e36), 
+      SC_(-2.0938005911346378409095185290027970184709e38), 
+      SC_(2.2752696488463515559649260352769264581469e40), 
+      SC_(-2.6257710286239576047303049736158202081449e42), 
+      SC_(3.2125082102718032518204792304264985243521e44), 
+      SC_(-4.1598278166794710913917074495262358936689e46), 
+      SC_(5.6920695482035280023883456219121058644480e48), 
+      SC_(-8.2183629419784575692290653468617333014550e50), 
+      SC_(1.2502904327166993016732339829702895524177e53), 
+      SC_(-2.0015583233248370274925329198813298768724e55), 
+      SC_(3.3674982915364374233396676903338753016219e57), 
+      SC_(-5.9470970503135447718660496844051540840579e59), 
+      SC_(1.1011910323627977559564130790437691604630e62), 
+      SC_(-2.1355259545253501188658385019041065678973e64), 
+      SC_(4.3328896986641192419616613059379206218451e66), 
+      SC_(-9.1885528241669328226200555215501897138960e68), 
+      SC_(2.0346896776329074493455027990220020065975e71), 
+      SC_(-4.7003833958035731078575255535006060654596e73), 
+      SC_(1.1318043445484249270675186257733934267890e76), 
+      SC_(-2.8382249570693706959264156336481764738284e78),
+
+      /* next 50 from 102 to 200: */
+      /* TABLE[N[BernoulliB[n], 200], {n,102,200,2}] */
+
+      SC_(7.4064248979678850629750827140920984176879e80), 
+      SC_(-2.0096454802756604483465619672715363186867e83), 
+      SC_(5.6657170050805941445719346030519356961419e85), 
+      SC_(-1.6584511154136216915823713374319912301494e88), 
+      SC_(5.0368859950492377419289421915180154812442e90), 
+      SC_(-1.5861468237658186369363401572966438782740e93), 
+      SC_(5.1756743617545626984073240682507122561240e95), 
+      SC_(-1.7488921840217117339690025877618159145141e98), 
+      SC_(6.1160519994952185255824525264264167780767e100), 
+      SC_(-2.2122776912707834942288323456712932445573e103), 
+      SC_(8.2722776798770969854221062459984595731204e105), 
+      SC_(-3.1958925111415709583591634369180814873526e108), 
+      SC_(1.2750082223387792982310024302926679866957e111), 
+      SC_(-5.2500923086774133899402824624565175446919e113), 
+      SC_(2.2301817894241625209869298198838728143738e116), 
+      SC_(-9.7684521930955204438633513398980239301166e118), 
+      SC_(4.4098361978452954272272622874813169191875e121), 
+      SC_(-2.0508570886464088839729337727583015486456e124), 
+      SC_(9.8214433279791277107572969602097521041491e126), 
+      SC_(-4.8412600798208880508789196709963412761130e129), 
+      SC_(2.4553088801480982609783467404088690399673e132), 
+      SC_(-1.2806926804084747548782513278601785721811e135), 
+      SC_(6.8676167104668581192101888598464400436092e137), 
+      SC_(-3.7846468581969104694978995416379556814489e140), 
+      SC_(2.1426101250665291550871323135148272096660e143), 
+      SC_(-1.2456727137183695007019642961637607219458e146), 
+      SC_(7.4345787551000152543679668394052061311780e148), 
+      SC_(-4.5535795304641704894063333223321274876772e151), 
+      SC_(2.8612112816858868345363847251017232522918e154), 
+      SC_(-1.8437723552033869727688202653628785487541e157), 
+      SC_(1.2181154536221046699501316506599521355817e160), 
+      SC_(-8.2482187185314121548481845729689344730141e162), 
+      SC_(5.7225877937832943329651649814297861591868e165), 
+      SC_(-4.0668530525059104726767969383115865560219e168), 
+      SC_(2.9596092064642050062875269581585187042637e171), 
+      SC_(-2.2049522565189457509031175227344598483637e174), 
+      SC_(1.6812597072889599805831152515136066575446e177), 
+      SC_(-1.3116736213556957648645280635581715300443e180), 
+      SC_(1.0467894009478038082183285392982308964382e183), 
+      SC_(-8.5432893578833707718598254629908277459327e185), 
+      SC_(7.1287821322486542352288406677143822472124e188), 
+      SC_(-6.0802931455535899300084711868647745846198e191), 
+      SC_(5.2996776424849923930094291004324726622848e194), 
+      SC_(-4.7194259168745862644364622901337991110376e197), 
+      SC_(4.2928413791402981089416829654107466904552e200), 
+      SC_(-3.9876744968232207443447765554293879510665e203), 
+      SC_(3.7819780419358882713894418116139332789822e206), 
+      SC_(-3.6614233683681191243685808215119734875519e209), 
+      SC_(3.6176090272372862348855460929891408947754e212), 
+      SC_(-3.6470772645191354362138308865549944904868e215),
+   };
+
+   T tol = boost::math::tools::epsilon<T>() * 20;
+   for(unsigned i = 1; i <= 100; ++i)
+   {
+      T b2n = boost::math::bernoulli_b2n<T>(i);
+      T t2n = boost::math::tangent_t2n<T>(i);
+      if((boost::math::isinf)(b2n))
+      {
+         if(!(boost::math::isinf)(data[i - 1]))
+         {
+            std::cout << "When calculating B2N(" << i << ")\n";
+            BOOST_ERROR("Got an infinity when one wasn't expected");
+         }
+         else if((b2n > 0) != (data[i - 1] > 0))
+         {
+            std::cout << "When calculating B2N(" << i << ")\n";
+            BOOST_ERROR("Sign of infinity was incorrect");
+         }
+      }
+      else if((boost::math::isnan)(b2n))
+      {
+         std::cout << "When calculating B2N(" << i << ")\n";
+         BOOST_ERROR("Result of B2n was a NaN, and that should never happen!");
+      }
+      else
+      {
+         BOOST_CHECK_CLOSE_FRACTION(b2n, data[i - 1], tol);
+      }
+      if(i <= boost::math::max_bernoulli_b2n<T>::value)
+      {
+         BOOST_CHECK_EQUAL(b2n, boost::math::unchecked_bernoulli_b2n<T>(i));
+      }
+      if((boost::math::isfinite)(t2n) && (t2n < boost::math::tools::max_value<T>()))
+      {
+         T p = ldexp(T(1), 2 * i);
+         int s = i & 1 ? 1 : -1;
+         p = t2n / (s * p * (p - 1));
+         p *= 2 * i;
+         BOOST_CHECK_CLOSE_FRACTION(p, b2n, tol);
+      }
+   }
+   //
+   // Test consistency of array interface:
+   //
+   T bn[boost::math::max_bernoulli_b2n<T>::value + 20];
+   boost::math::bernoulli_b2n<T>(0, boost::math::max_bernoulli_b2n<T>::value + 20, bn);
+
+   for(unsigned i = 0; i < boost::math::max_bernoulli_b2n<T>::value + 20; ++i)
+   {
+      BOOST_CHECK_EQUAL(bn[i], boost::math::bernoulli_b2n<T>(i));
+   }
+
+   boost::math::tangent_t2n<T>(0, boost::math::max_bernoulli_b2n<T>::value + 20, bn);
+
+   for(unsigned i = 0; i < boost::math::max_bernoulli_b2n<T>::value + 20; ++i)
+   {
+      BOOST_CHECK_EQUAL(bn[i], boost::math::tangent_t2n<T>(i));
+   }
+   //
+   // Some spot tests for things that should throw exceptions:
+   //
+   static unsigned overflow_index = boost::is_same<T, boost::math::concepts::real_concept>::value ?
+      boost::math::max_bernoulli_b2n<long double>::value + 5 : boost::math::max_bernoulli_b2n<T>::value + 5;
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::bernoulli_b2n<T>(overflow_index, boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::throw_on_error>())), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tangent_t2n<T>(overflow_index, boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::throw_on_error>())), std::overflow_error);
+#endif
+}
+
+void test_real_concept_extra()
+{
+   boost::math::concepts::real_concept tol = boost::math::tools::epsilon<boost::math::concepts::real_concept>() * 20;
+   for(unsigned i = 0; i <= boost::math::max_bernoulli_b2n<long double>::value; ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<boost::math::concepts::real_concept>(boost::math::bernoulli_b2n<long double>(i)), boost::math::bernoulli_b2n<boost::math::concepts::real_concept>(i), tol);
+   }
+   for(unsigned i = 1; i < 500; ++i)
+   {
+      boost::math::concepts::real_concept r = boost::math::bernoulli_b2n<long double>(i + boost::math::max_bernoulli_b2n<long double>::value);
+      if((i + boost::math::max_bernoulli_b2n<long double>::value) & 1)
+      {
+         BOOST_CHECK(r >= boost::math::tools::max_value<boost::math::concepts::real_concept>());
+      }
+      else
+      {
+         BOOST_CHECK(r <= -boost::math::tools::max_value<boost::math::concepts::real_concept>());
+      }
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test<float>("float");
+   test<double>("double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test<long double>("long double");
+   test<boost::math::concepts::real_concept>("real_concept");
+   test_real_concept_extra();
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_bessel_airy_zeros.cpp b/src/boost/libs/math/test/test_bessel_airy_zeros.cpp
new file mode 100644
index 000000000..c6253c93a
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_airy_zeros.cpp
@@ -0,0 +1,985 @@
+//  Copyright John Maddock 2013
+//  Copyright Christopher Kormanyos 2013.
+//  Copyright Paul A. Bristow 2013.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant.
+#  pragma warning(disable : 4512) // assignment operator could not be generated.
+#  pragma warning(disable : 4996) // use -D_SCL_SECURE_NO_WARNINGS.
+#endif
+
+//#include <pch_light.hpp> // commented out during testing.
+
+//#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/cstdint.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/airy.hpp>
+#include <boost/math/tools/test.hpp>
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <typeinfo>
+#include <iostream>
+#include <iomanip>
+
+// #include <boost/math/tools/
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions that evaluate zeros (or roots) of Bessel, Neumann and Airy functions.
+
+// Spot tests which compare our results with selected values computed
+// using the online special function calculator at functions.wolfram.com,
+// and values generated with Boost.Multiprecision at about 1000-bit or 100 decimal digits precision.
+
+// We are most grateful for the invaluable
+// Weisstein, Eric W. "Bessel Function Zeros." From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/BesselFunctionZeros.html
+// and the newer http://www.wolframalpha.com/
+
+// See also NIST Handbook of Mathematical Function http://dlmf.nist.gov/10.21
+/*
+Tests of cyl Bessel and cyl Neumann zeros.
+==========================================
+
+The algorithms for estimating the roots of both cyl. Bessel
+as well as cyl. Neumann have the same cross-over points,
+and also use expansions that have the same order of approximation.
+
+Therefore, tests will be equally effective for both functions in the regions of order.
+
+I have recently changed a critical cross-over in the algorithms
+from a value of order of 1.2 to a value of order of 2.2.
+In addition, there is a critical cross-over in the rank of the
+zero from rank 1 to rank 2 and above. The first zero is
+treated differently than the remaining ones.
+
+The test cover various regions of order,
+each one tested with several zeros:
+  * Order 219/100: This checks a region just below a critical cutoff.
+  * Order 221/100: This checks a region just above a critical cutoff.
+  * Order 0: Something always tends to go wrong at zero.
+  * Order 1/1000: A small order.
+  * Order 71/19: Merely an intermediate order.
+  * Order 7001/19: A medium-large order, small enough to retain moderate efficiency of calculation.
+
+There are also a few selected high zeros
+such as the 1000th zero for a few modest orders such as 71/19, etc.
+
+Tests of Airy zeros.
+====================
+
+The Airy zeros algorithms use tabulated values for the first 10 zeros,
+whereby algorithms are used for rank 11 and higher.
+So testing the zeros of Ai and Bi from 1 through 20 handles
+this cross-over nicely.
+
+In addition, the algorithms for the estimates of the zeros
+become increasingly accurate for larger, negative argument.
+
+On the other hand, the zeros become increasingly close
+for large, negative argument. So another nice test
+involves testing pairs of zeros for different orders of
+magnitude of the zeros, to insure that the program
+properly resolves very closely spaced zeros.
+*/
+
+
+template <class RealType>
+void test_bessel_zeros(RealType)
+{
+  // Basic sanity checks for finding zeros of Bessel and Airy function.
+  // where template parameter RealType can be float, double, long double,
+  // or real_concept, a prototype for user-defined floating-point types.
+
+  // Parameter RealType is only used to communicate the RealType, float, double...
+  // and is an arbitrary zero for all tests.
+   RealType tolerance = 5 * (std::max)(
+     static_cast<RealType>(boost::math::tools::epsilon<long double>()),
+     boost::math::tools::epsilon<RealType>());
+   std::cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << std::endl;
+   //
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   RealType tolerance_tgamma_extra = std::numeric_limits<RealType>::is_specialized ? 1 : 15;
+
+   // http://www.wolframalpha.com/
+   using boost::math::cyl_bessel_j_zero; // (nu, j)
+   using boost::math::isnan;
+
+  BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(0), 0), std::domain_error);
+  // BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(-1), 2), std::domain_error);
+  // From 83051 negative orders are supported.
+
+  // Abuse with infinity and max.
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    //BOOST_CHECK_EQUAL(cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::infinity()), 1),
+    //  static_cast<RealType>(std::numeric_limits<RealType>::infinity()) );
+    // unknown location(0): fatal error in "test_main":
+    // class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >:
+    // Error in function boost::math::cyl_bessel_j_zero<double>(double, int): Order argument is 1.#INF, but must be finite >= 0 !
+    // Note that the reported type long double is not the type of the original call RealType,
+    // but the promoted value, here long double, if applicable.
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::infinity()), 1),
+     std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(-std::numeric_limits<RealType>::infinity()), 1),
+     std::domain_error);
+
+  }
+  // Test with maximum value of v that will cause evaluation error
+  //BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(boost::math::tools::max_value<RealType>(), 1), std::domain_error);
+  // unknown location(0): fatal error in "test_main":
+  // class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class boost::math::evaluation_error> >:
+  // Error in function boost::math::bessel_jy<double>(double,double): Order of Bessel function is too large to evaluate: got 3.4028234663852886e+038
+
+  BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(boost::math::tools::max_value<RealType>(), 1), boost::math::evaluation_error);
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(boost::math::tools::min_value<RealType>(), 1),
+    static_cast<RealType>(2.4048255576957727686216318793264546431242449091460L), tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(-cyl_bessel_j_zero(boost::math::tools::min_value<RealType>(), 1),
+    static_cast<RealType>(-2.4048255576957727686216318793264546431242449091460L), tolerance);
+
+  // Checks on some spot values.
+
+  // http://mathworld.wolfram.com/BesselFunctionZeros.html provides some spot values,
+  // evaluation at 50 decimal digits using WoldramAlpha.
+
+  /* Table[N[BesselJZero[0, n], 50], {n, 1, 5, 1}]
+  n |
+  1 | 2.4048255576957727686216318793264546431242449091460
+  2 | 5.5200781102863106495966041128130274252218654787829
+  3 | 8.6537279129110122169541987126609466855657952312754
+  4 | 11.791534439014281613743044911925458922022924699695
+  5 | 14.930917708487785947762593997388682207915850115633
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 1), static_cast<RealType>(2.4048255576957727686216318793264546431242449091460L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 2), static_cast<RealType>(5.5200781102863106495966041128130274252218654787829L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 3), static_cast<RealType>(8.6537279129110122169541987126609466855657952312754L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 4), static_cast<RealType>(11.791534439014281613743044911925458922022924699695L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(0), 5), static_cast<RealType>(14.930917708487785947762593997388682207915850115633L), tolerance);
+
+  { // Same test using the multiple zeros version.
+    std::vector<RealType> zeros;
+    cyl_bessel_j_zero(static_cast<RealType>(0.0), 1, 3, std::back_inserter(zeros) );
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], static_cast<RealType>(2.4048255576957727686216318793264546431242449091460L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], static_cast<RealType>(5.5200781102863106495966041128130274252218654787829L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], static_cast<RealType>(8.6537279129110122169541987126609466855657952312754L), tolerance);
+  }
+  // 1/1000 a small order.
+  /* Table[N[BesselJZero[1/1000, n], 50], {n, 1, 4, 1}]
+  n |
+1 | 2.4063682720422009275161970278295108254321633626292
+2 | 5.5216426858401848664019464270992222126391378706092
+3 | 8.6552960859298799453893840513333150237193779482071
+4 | 11.793103797689738596231262077785930962647860975357
+
+Table[N[BesselJZero[1/1000, n], 50], {n, 10, 20, 1}]
+n |
+10 | 30.636177039613574749066837922778438992469950755736
+11 | 33.777390823252864715296422192027816488172667994611
+12 | 36.918668992567585467000743488690258054442556198147
+13 | 40.059996426251227493370316149043896483196561190610
+14 | 43.201362392820317233698309483240359167380135262681
+15 | 46.342759065846108737848449985452774243376260538634
+16 | 49.484180603489984324820981438067325210499739716337
+17 | 52.625622557085775090390071484188995092211215108718
+18 | 55.767081479279692992978326069855684800673801918763
+19 | 58.908554657366270044071505013449016741804538135905
+20 | 62.050039927521244984641179233170843941940575857282
+
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 1), static_cast<RealType>(2.4063682720422009275161970278295108254321633626292L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 4), static_cast<RealType>(11.793103797689738596231262077785930962647860975357L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 10), static_cast<RealType>(30.636177039613574749066837922778438992469950755736L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1)/1000, 20), static_cast<RealType>(62.050039927521244984641179233170843941940575857282L), tolerance);
+
+    /*
+  Table[N[BesselJZero[1, n], 50], {n, 1, 4, 1}]
+  n |
+  1 | 3.8317059702075123156144358863081607665645452742878
+  2 | 7.0155866698156187535370499814765247432763115029142
+  3 | 10.173468135062722077185711776775844069819512500192
+  4 | 13.323691936314223032393684126947876751216644731358
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 1), static_cast<RealType>(3.8317059702075123156144358863081607665645452742878L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 2), static_cast<RealType>(7.0155866698156187535370499814765247432763115029142L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 3), static_cast<RealType>(10.173468135062722077185711776775844069819512500192L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(1), 4), static_cast<RealType>(13.323691936314223032393684126947876751216644731358L), tolerance);
+
+  /*
+  Table[N[BesselJZero[5, n], 50], {n, 1, 5, 1}]
+  n |
+  1 | 8.7714838159599540191228671334095605629810770148974
+  2 | 12.338604197466943986082097644459004412683491122239
+  3 | 15.700174079711671037587715595026422501346662246893
+  4 | 18.980133875179921120770736748466932306588828411497
+  5 | 22.217799896561267868824764947529187163096116704354
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 1), static_cast<RealType>(8.7714838159599540191228671334095605629810770148974L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 2), static_cast<RealType>(12.338604197466943986082097644459004412683491122239L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 3), static_cast<RealType>(15.700174079711671037587715595026422501346662246893L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 4), static_cast<RealType>(18.980133875179921120770736748466932306588828411497L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(5), 5), static_cast<RealType>(22.217799896561267868824764947529187163096116704354L), tolerance);
+
+  // An intermediate order
+  /*
+  Table[N[BesselJZero[71/19, n], 50], {n, 1, 20, 1}]
+
+  7.27317519383164895031856942622907655889631967016227,
+  10.7248583088831417325361727458514166471107495990849,
+  14.0185045994523881061204595580426602824274719315813,
+  17.2524984591704171821624871665497773491959038386104,
+  20.4566788740445175951802340838942858854605020778141,
+  23.6436308971423452249455142271473195998540517250404,
+  26.8196711402550877454213114709650192615223905192969,
+  29.9883431174236747426791417966614320438788681941419,
+  33.1517968976905208712508624699734452654447919661140,
+  36.3114160002162074157243540350393860813165201842005,
+  39.4681324675052365879451978080833378877659670320292,
+  42.6225978013912364748550348312979540188444334802274,
+  45.7752814645368477533902062078067265814959500124386,
+  48.9265304891735661983677668174785539924717398947994,
+  52.0766070453430027942797460418789248768734780634716,
+  55.2257129449125713935942243278172656890590028901917,
+  58.3740061015388864367751881504390252017351514189321,
+  61.5216118730009652737267426593531362663909441035715,
+  64.6686310537909303683464822148736607945659662871596,
+  67.8151456196962909255567913755559511651114605854579
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 1), static_cast<RealType>(7.27317519383164895031856942622907655889631967016227L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 4), static_cast<RealType>(17.2524984591704171821624871665497773491959038386104L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 10), static_cast<RealType>(36.3114160002162074157243540350393860813165201842005L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(71)/19, 20), static_cast<RealType>(67.8151456196962909255567913755559511651114605854579L), tolerance);
+  /*
+
+  Table[N[BesselJZero[7001/19, n], 50], {n, 1, 2, 1}]
+
+1 | 381.92201523024489386917204470434842699154031135348
+2 | 392.17508657648737502651299853099852567001239217724
+
+Table[N[BesselJZero[7001/19, n], 50], {n, 19, 20, 1}]
+
+19 | 491.67809669154347398205298745712766193052308172472
+20 | 496.39435037938252557535375498577989720272298310802
+
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 1), static_cast<RealType>(381.92201523024489386917204470434842699154031135348L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 2), static_cast<RealType>(392.17508657648737502651299853099852567001239217724L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 20), static_cast<RealType>(496.39435037938252557535375498577989720272298310802L), tolerance);
+
+  // Some non-integral tests.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(3.73684210526315789473684210526315789473684210526315789L), 1), static_cast<RealType>(7.273175193831648950318569426229076558896319670162279791988152000556091140599946365217211157877052381L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(3.73684210526315789473684210526315789473684210526315789L), 20), static_cast<RealType>(67.81514561969629092555679137555595116511146058545787883557679231060644931096494584364894743334132014L), tolerance);
+
+  // Some non-integral tests in 'tough' regions.
+  // Order 219/100: This checks a region just below a critical cutoff.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(219)/100, 1), static_cast<RealType>(5.37568854370623186731066365697341253761466705063679L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(219)/100, 2), static_cast<RealType>(8.67632060963888122764226633146460596009874991130394L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(219)/100, 20), static_cast<RealType>(65.4517712237598926858973399895944886397152223643028L), tolerance);
+  // Order 221/100: This checks a region just above a critical cutoff.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(221)/100, 1), static_cast<RealType>(5.40084731984998184087380740054933778965260387203942L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(221)/100, 2), static_cast<RealType>(8.70347906513509618445695740167369153761310106851599L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(221)/100, 20), static_cast<RealType>(65.4825314862621271716158606625527548818843845600782L), tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 1), static_cast<RealType>(381.922015230244893869172044704348426991540311353476L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 2), static_cast<RealType>(392.175086576487375026512998530998525670012392177242L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(7001)/19, 20), static_cast<RealType>(496.394350379382525575353754985779897202722983108025L), tolerance);
+
+  // Zero'th cases.
+  BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), 0), std::domain_error); // Zero'th zero of J0(x).
+  BOOST_CHECK(boost::math::cyl_bessel_j_zero(static_cast<RealType>(1), 0) == 0); // Zero'th zero of J1(x).
+  BOOST_CHECK(boost::math::cyl_bessel_j_zero(static_cast<RealType>(2), 0) == 0); // Zero'th zero of J2(x).
+
+
+  // Negative order cases.
+  // Table[N[BesselJZero[-39, n], 51], {n, 1, 20, 1}]
+
+  //  45.597624026432090522996531982029164361723758769649
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 1), static_cast<RealType>(45.597624026432090522996531982029164361723758769649L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 2), static_cast<RealType>(50.930599960211455519691708196247756810739999585797L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 4), static_cast<RealType>(59.810708207036942166964205243063534405954475825070L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 10), static_cast<RealType>(82.490310026657839398140015188318580114553721419436L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 15), static_cast<RealType>(99.886172950858129702511715161572827825877395517083L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39), 20), static_cast<RealType>(116.73117751356457774415638043701531989536641098359L), tolerance);
+
+   // Table[N[BesselJZero[-39 - (1/3), n], 51], {n, 1, 20, 1}]
+
+   // 43.803165820025277290601047312311146608776920513241
+   // 49.624678304306778749502719837270544976331123155017
+
+    RealType v = static_cast<RealType>(-39);
+
+    v -= boost::math::constants::third<RealType>();
+
+   // BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(43.803165820025277290601047312311146608776920513241L), tolerance);
+  //  BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 1), static_cast<RealType>(43.803165820025277290601047312311146608776920513241L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(49.624678304306778749502719837270544976331123155017L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(0.333333333333333333333333333333333333333333333L), 5), static_cast<RealType>(62.911281619408963609400485687996804820400102193455L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(0.333333333333333333333333333333333333333333333L), 10), static_cast<RealType>(81.705998611506506523381866527389118594062841737382L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(static_cast<RealType>(-39) - static_cast<RealType>(0.333333333333333333333333333333333333333333333L), 20), static_cast<RealType>(116.05368337161392034833932554892349580959931408963L), tolerance * 4);
+
+
+  // Table[N[BesselJZero[-1/3, n], 51], {n, 1, 20, 1}]
+    // 1.86635085887389517154698498025466055044627209492336
+    // 4.98785323143515872689263163814239463653891121063534
+    v = - boost::math::constants::third<RealType>();
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(1.86635085887389517154698498025466055044627209492336L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(4.98785323143515872689263163814239463653891121063534L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 5), static_cast<RealType>(14.4037758801360172217813556328092353168458341692115L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 20), static_cast<RealType>(61.5239847181314647255554392599009248210564008120358L), tolerance);
+
+  // Table[N[BesselJZero[-3 - (999999/1000000), n], 51], {n, 1, 20, 1}]
+    // 0.666908567552422764702292353801313970109968787260547
+    //7.58834489983121936102504707121493271448122800440112
+
+    std::cout.precision(2 + std::numeric_limits<RealType>::digits * 3010/10000);
+    v = -static_cast<RealType>(3);
+    //std::cout << "v = " << v << std::endl;
+    RealType d = static_cast<RealType>(999999)/1000000; // Value very near to unity.
+    //std::cout << "d = " << d << std::endl;
+    v -= d;
+   // std::cout << "v = " << v << std::endl; //   v = -3.9999989999999999
+
+    // 1st is much less accurate.
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(0.666908567552422764702292353801313970109968787260547L), tolerance * 500000);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(7.58834489983121936102504707121493271448122800440112L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 5), static_cast<RealType>(17.6159678964372778134202353240221384945968807948928L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 20), static_cast<RealType>(65.0669968910414433560468307554730940098734494938136L), tolerance);
+
+
+    v = -static_cast<RealType>(1)/81799; // Largish prime, so small value.
+    // std::cout << "v = " << v << std::endl; // v = -1.22251e-005
+
+   // Table[N[BesselJZero[-1/81799, n], 51], {n, 1, 20, 1}]
+
+    // 2.40480669570616362235270726259606288441474232101937
+    //5.52005898213436490056801834487410496538653938730884
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 1), static_cast<RealType>(2.40480669570616362235270726259606288441474232101937L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 2), static_cast<RealType>(5.52005898213436490056801834487410496538653938730884L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 5), static_cast<RealType>(14.9308985160466385806685583210609848822943295303368L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_bessel_j_zero(v, 20), static_cast<RealType>(62.0484499877253314338528593349200129641402661038743L), tolerance);
+
+  // Confirm that negative m throws domain_error.
+  BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), -1), std::domain_error);
+  // unknown location(0): fatal error in "test_main":
+  // class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >:
+  // Error in function boost::math::cyl_bessel_j_zero<double>(double, int): Requested the -1'th zero, but must be > 0 !
+
+  // Confirm that a C-style ignore_all policy returns NaN for bad input.
+  typedef boost::math::policies::policy<
+    boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+    boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+    boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+    boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+              > ignore_all_policy;
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), 1), std::domain_error);
+    // Check that bad m returns NaN if policy is no throws.
+    BOOST_CHECK((boost::math::isnan<RealType>)(cyl_bessel_j_zero(std::numeric_limits<RealType>::quiet_NaN(), 1, ignore_all_policy())) );
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_zero(static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), -1), std::domain_error);
+  }
+  else
+  { // real_concept bad m returns zero.
+    //std::cout << boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), -1, ignore_all_policy()) << std::endl; // 0 for real_concept.
+      BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_zero(static_cast<RealType>(0), -1, ignore_all_policy() ), 0);
+  }
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(std::numeric_limits<RealType>::infinity(), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_bessel_j_zero(std::numeric_limits<RealType>::infinity(), 1), std::domain_error);
+    // Check that NaN is returned if error ignored.
+    BOOST_CHECK((boost::math::isnan<RealType>)(cyl_bessel_j_zero(std::numeric_limits<RealType>::infinity(), 1, ignore_all_policy())) );
+  }
+
+  // Tests of cyc_neumann zero function (BesselYZero in Wolfram) for spot values.
+  /*
+  Table[N[BesselYZero[0, n], 50], {n, 1, 5, 1}]
+n |
+1 | 0.89357696627916752158488710205833824122514686193001
+2 | 3.9576784193148578683756771869174012814186037655636
+3 | 7.0860510603017726976236245968203524689715103811778
+4 | 10.222345043496417018992042276342187125994059613181
+5 | 13.361097473872763478267694585713786426579135174880
+
+Table[N[BesselYZero[0, n], 50], {n, 1, 5, 1}]
+
+n | 
+1 | 0.89357696627916752158488710205833824122514686193001
+2 | 3.9576784193148578683756771869174012814186037655636
+3 | 7.0860510603017726976236245968203524689715103811778
+4 | 10.222345043496417018992042276342187125994059613181
+5 | 13.361097473872763478267694585713786426579135174880
+
+So K == Y
+
+Table[N[BesselYZero[1, n], 50], {n, 1, 5, 1}]
+n |
+1 | 2.1971413260310170351490335626989662730530183315003
+2 | 5.4296810407941351327720051908525841965837574760291
+3 | 8.5960058683311689264296061801639678511029215669749
+4 | 11.749154830839881243399421939922350714301165983279
+5 | 14.897442128336725378844819156429870879807150630875
+
+Table[N[BesselYZero[2, n], 50], {n, 1, 5, 1}]
+n |
+1 | 3.3842417671495934727014260185379031127323883259329
+2 | 6.7938075132682675382911671098369487124493222183854
+3 | 10.023477979360037978505391792081418280789658279097
+4 | 13.209986710206416382780863125329852185107588501072
+5 | 16.378966558947456561726714466123708444627678549687
+
+*/
+  // Some simple integer values.
+
+  using boost::math::cyl_neumann_zero;
+  // Bad rank m.
+  BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), 0), std::domain_error); // 
+  BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), -1), std::domain_error);
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(std::numeric_limits<RealType>::quiet_NaN(), 1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), -1), std::domain_error);
+  }
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(std::numeric_limits<RealType>::infinity(), 2), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cyl_neumann_zero(static_cast<RealType>(0), -1), std::domain_error);
+  }
+  // else no infinity tests.
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(0), 1), static_cast<RealType>(0.89357696627916752158488710205833824122514686193001L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1), 2), static_cast<RealType>(5.4296810407941351327720051908525841965837574760291L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(2), 3), static_cast<RealType>(10.023477979360037978505391792081418280789658279097L), tolerance);
+
+  /*
+  Table[N[BesselYZero[3, n], 50], {n, 1, 5, 1}]
+  1 | 4.5270246611496438503700268671036276386651555486109
+  2 | 8.0975537628604907044022139901128042290432231369075
+  3 | 11.396466739595866739252048190629504945984969192535
+  4 | 14.623077742393873174076722507725200649352970569915
+  5 | 17.818455232945520262553239064736739443380352162752
+  */
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 1), static_cast<RealType>(4.5270246611496438503700268671036276386651555486109L), tolerance * 2);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 2), static_cast<RealType>(8.0975537628604907044022139901128042290432231369075L), tolerance * 2);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 3), static_cast<RealType>(11.396466739595866739252048190629504945984969192535L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 4), static_cast<RealType>(14.623077742393873174076722507725200649352970569915L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(3), 5), static_cast<RealType>(17.818455232945520262553239064736739443380352162752L), tolerance);
+
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 1), static_cast<RealType>(4.5270246611496438503700268671036276386651555486109L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 2), static_cast<RealType>(8.0975537628604907044022139901128042290432231369075L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 3), static_cast<RealType>(11.396466739595866739252048190629504945984969192535L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 4), static_cast<RealType>(14.623077742393873174076722507725200649352970569915L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 5), static_cast<RealType>(17.818455232945520262553239064736739443380352162752L), tolerance);
+
+  { // Repeat rest using multiple zeros version.
+    std::vector<RealType> zeros;
+    cyl_neumann_zero(static_cast<RealType>(0.0), 1, 3, std::back_inserter(zeros) );
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], static_cast<RealType>(0.89357696627916752158488710205833824122514686193001L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], static_cast<RealType>(3.9576784193148578683756771869174012814186037655636L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], static_cast<RealType>(7.0860510603017726976236245968203524689715103811778L), tolerance);
+  }
+  // Order 0: Something always tends to go wrong at zero.
+
+  /* Order 219/100: This checks accuracy in a region just below a critical cutoff.
+
+  Table[N[BesselKZero[219/100, n], 50], {n, 1, 20, 4}]
+1 | 3.6039149425338727979151181355741147312162055042157
+5 | 16.655399111666833825247894251535326778980614938275
+9 | 29.280564448169163756478439692311605757712873534942
+13 | 41.870269811145814760551599481942750124112093564643
+17 | 54.449180021209532654553613813754733514317929678038
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(219)/100, 1), static_cast<RealType>(3.6039149425338727979151181355741147312162055042157L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(219)/100, 5), static_cast<RealType>(16.655399111666833825247894251535326778980614938275L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(219)/100, 17), static_cast<RealType>(54.449180021209532654553613813754733514317929678038L), tolerance);
+
+  /* Order 221/100: This checks a region just above a critical cutoff.
+  Table[N[BesselYZero[220/100, n], 50], {n, 1, 20, 5}]
+  1 | 3.6154383428745996706772556069431792744372398748425
+  6 | 19.833435100254138641131431268153987585842088078470
+  11 | 35.592602956438811360473753622212346081080817891225
+  16 | 51.320322762482062633162699745957897178885350674038
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 1), static_cast<RealType>(3.6154383428745996706772556069431792744372398748425L), 2 * tolerance);
+  // Note * 2 tolerance needed - using cpp_dec_float_50 it computes exactly, probably because of extra guard digits in multiprecision decimal version.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 6), static_cast<RealType>(19.833435100254138641131431268153987585842088078470L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 11), static_cast<RealType>(35.592602956438811360473753622212346081080817891225L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(220)/100, 16), static_cast<RealType>(51.320322762482062633162699745957897178885350674038L), tolerance);
+
+  /*  Order 1/1000: A small order.
+  Table[N[BesselYZero[1/1000, n], 50], {n, 1, 20, 5}]
+  1 | 0.89502371604431360670577815537297733265776195646969
+  6 | 16.502492490954716850993456703662137628148182892787
+  11 | 32.206774708309182755790609144739319753463907110990
+  16 | 47.913467031941494147962476920863688176374357572509
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 1), static_cast<RealType>(0.89502371604431360670577815537297733265776195646969L), 2 * tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 6), static_cast<RealType>(16.5024924909547168509934567036621376281481828927870L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 11), static_cast<RealType>(32.206774708309182755790609144739319753463907110990L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/1000, 16), static_cast<RealType>(47.913467031941494147962476920863688176374357572509L), tolerance);
+
+  /* Order 71/19: Merely an intermediate order.
+  Table[N[BesselYZero[71/19, n], 50], {n, 1, 20, 5}]
+  1 | 5.3527167881149432911848659069476821793319749146616
+  6 | 22.051823727778538215953091664153117627848857279151
+  11 | 37.890091170552491176745048499809370107665221628364
+  16 | 53.651270581421816017744203789836444968181687858095
+  */
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 1), static_cast<RealType>(5.3527167881149432911848659069476821793319749146616L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 6), static_cast<RealType>(22.051823727778538215953091664153117627848857279151L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 11), static_cast<RealType>(37.890091170552491176745048499809370107665221628364L), tolerance);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(71)/19, 16), static_cast<RealType>(53.651270581421816017744203789836444968181687858095L), tolerance);
+
+  /* Order 7001/19: A medium-large order, small enough to retain moderate efficiency of calculation.
+
+  Table[N[BesselYZero[7001/19, n], 50], {n, 1}]
+   1 | 375.18866334770357669101711932706658671250621098115
+
+  Table[N[BesselYZero[7001/19, n], 50], {n, 2}]
+  Standard computation time exceeded :-(
+  */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(7001)/19, 1), static_cast<RealType>(375.18866334770357669101711932706658671250621098115L), tolerance);
+
+ /* A high zero such as the 1000th zero for a modest order such as 71/19.
+   Table[N[BesselYZero[71/19, n], 50], {n, 1000}]
+   Standard computation time exceeded :-(
+ */
+
+  /*
+  Test Negative orders cyl_neumann.
+
+  Table[N[BesselYZero[-1, n], 50], {n, 1, 10, 1}]
+  1 | 2.1971413260310170351490335626989662730530183315003
+  2 | 5.4296810407941351327720051908525841965837574760291
+  3 | 8.5960058683311689264296061801639678511029215669749
+  4 | 11.749154830839881243399421939922350714301165983279
+  5 | 14.897442128336725378844819156429870879807150630875
+  6 | 18.043402276727855564304555507889508902163088324834
+  7 | 21.188068934142213016142481528685423196935024604904
+  8 | 24.331942571356912035992944051850129651414333340303
+  9 | 27.475294980449223512212285525410668235700897307021
+  10 | 30.618286491641114715761625696447448310277939570868
+  11 | 33.761017796109325692471759911249650993879821495802
+  16 | 49.472505679924095824128003887609267273294894411716
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 1), static_cast<RealType>(2.1971413260310170351490335626989662730530183315003L), tolerance * 3);
+  // Note this test passes at tolerance for float, double and long double, but fails for real_concept if tolerance <= 2.
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 6), static_cast<RealType>(18.043402276727855564304555507889508902163088324834L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 11), static_cast<RealType>(33.761017796109325692471759911249650993879821495802L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-1), 16), static_cast<RealType>(49.472505679924095824128003887609267273294894411716L), tolerance * 3);
+
+ /*
+  Table[N[BesselYZero[-2, n], 50], {n, 1, 20, 5}]
+  1 | 3.3842417671495934727014260185379031127323883259329
+  6 | 19.539039990286384411511740683423888947393156497603
+  11 | 35.289793869635804143323234828826075805683602368473
+  16 | 51.014128749483902310217774804582826908060740157564
+  */
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 1), static_cast<RealType>(3.3842417671495934727014260185379031127323883259329L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 6), static_cast<RealType>(19.539039990286384411511740683423888947393156497603L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 11), static_cast<RealType>(35.289793869635804143323234828826075805683602368473L), tolerance * 3);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-2), 16), static_cast<RealType>(51.014128749483902310217774804582826908060740157564L), tolerance * 3);
+
+/*
+  Table[N[BesselYZero[-3, n], 51], {n, 1, 7, 1}]
+  1 | 4.52702466114964385037002686710362763866515554861094
+  2 | 8.09755376286049070440221399011280422904322313690750
+  3 | 11.3964667395958667392520481906295049459849691925349
+  4 | 14.6230777423938731740767225077252006493529705699150
+  5 | 17.8184552329455202625532390647367394433803521627517
+  6 | 20.9972847541877606834525058939528641630713169437070
+  7 | 24.1662357585818282287385597668220226288453739040042
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 1), static_cast<RealType>(4.52702466114964385037002686710362763866515554861094L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 2), static_cast<RealType>(8.09755376286049070440221399011280422904322313690750L), tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3), 4), static_cast<RealType>(14.6230777423938731740767225077252006493529705699150L), tolerance);
+
+/* Table[N[BesselKZero[-39, n], 51], {n, 1, 20, 5}]
+  1 | 42.2362394762664681287397356668342141701037684436723
+  6 | 65.8250353430045981408288669790173009159561533403819
+  11 | 84.2674082411341814641248554679382420802125973458922
+  16 | 101.589776978258493441843447810649346266014624868410
+*/
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 1), static_cast<RealType>(42.2362394762664681287397356668342141701037684436723L), tolerance );
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 6), static_cast<RealType>(65.8250353430045981408288669790173009159561533403819L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 11), static_cast<RealType>(84.2674082411341814641248554679382420802125973458922L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39), 16), static_cast<RealType>(101.589776978258493441843447810649346266014624868410L), tolerance);
+
+/* Table[N[BesselKZero[-39 -(1/3), n], 51], {n, 1, 20, 5}]
+  1 | 39.3336965099558453809241429692683050137281997313679
+  6 | 64.9038181444904768984884565999608291433823953030822
+  11 | 83.4922341795560713832607574604255239776551554961143
+  16 | 100.878386349724826125265571457142254077564666532665
+*/
+
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 1), static_cast<RealType>(39.3336965099558453809241429692683050137281997313679L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 6), static_cast<RealType>(64.9038181444904768984884565999608291433823953030822L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 11), static_cast<RealType>(83.4922341795560713832607574604255239776551554961143L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-39) - static_cast<RealType>(1)/3, 16), static_cast<RealType>(100.878386349724826125265571457142254077564666532665L), tolerance * 4);
+/* Table[N[BesselKZero[-(1/3), n], 51], {n, 1, 20, 5}]
+n | 
+1 | 0.364442931311036254896373762996743259918847602789703
+6 | 15.9741013584105984633772025789145590038676373673203
+11 | 31.6799168750213003020847708007848147516190373648194
+16 | 47.3871543280673235432396563497681616285970326011211
+*/
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 1), static_cast<RealType>(0.364442931311036254896373762996743259918847602789703L), tolerance * 10);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 6), static_cast<RealType>(15.9741013584105984633772025789145590038676373673203L), tolerance * 10);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 11), static_cast<RealType>(31.6799168750213003020847708007848147516190373648194L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/3, 16), static_cast<RealType>(47.3871543280673235432396563497681616285970326011211L), tolerance * 4);
+
+/* Table[N[BesselKZero[-3 -(9999/10000), n], 51], {n, 1, 20, 5}]
+  1 | 5.64546089250283694562642537496601708928630550185069
+  2 | 9.36184180108088288881787970896747209376324330610979
+  3 | 12.7303431758275183078115963473808796340618061355885
+  4 | 15.9998152121877557837972245675029531998475502716021
+  6 | 9.36184180108088288881787970896747209376324330610979
+  11 | 25.6104419106589739931633042959774157385787405502820
+  16 | 41.4361281441868132581487460354904567452973524446193
+*/
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 1), static_cast<RealType>(5.64546089250283694562642537496601708928630550185069L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 2), static_cast<RealType>(9.36184180108088288881787970896747209376324330610979L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 3), static_cast<RealType>(12.7303431758275183078115963473808796340618061355885L), tolerance * 4);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 4), static_cast<RealType>(15.9998152121877557837972245675029531998475502716021L), tolerance * 4);
+ 
+/*  Table[N[BesselYZero[-3 -(9999/10000), n], 51], {n, 1, 7, 1}]
+1 | 5.64546089250283694562642537496601708928630550185069
+2 | 9.36184180108088288881787970896747209376324330610979
+3 | 12.7303431758275183078115963473808796340618061355885
+4 | 15.9998152121877557837972245675029531998475502716021
+
+// but 5 is same as 1!!  Acknowledged as fault Wolfram [TS 6475] 26 Feb 13.
+
+5 | 5.64546089250283694562642537496601708928630550184982
+6 | 9.36184180108088288881787970896747209376324330610979
+7 | 12.7303431758275183078115963473808796340618061355885
+
+In[26]:= FindRoot[BesselY[-3 -9999/10000, r] == 0, {r, 3}]  for r = 2,3, 4, 5 = {r->5.64546}
+
+In[26]:= FindRoot[BesselY[-3 -9999/10000, r] == 0, {r, 19}] = 19.2246
+
+So no very accurate reference value for these.
+
+Calculated using cpp_dec_float_50
+
+  5.6454608925028369456264253749660170892863055018498
+  9.3618418010808828888178797089674720937632433061099
+  12.730343175827518307811596347380879634061806135589
+  15.999815212187755783797224567502953199847550271602
+
+  19.224610865671563344572152795434688888375602299773
+  22.424988389021059116212186912990863561607855849204
+  25.610441910658973993163304295977415738578740550282
+  28.786066313968546073981640755202085944374967166411
+  31.954857624676521867923579695253822854717613513587
+    */
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 1), static_cast<RealType>(5.64546089250283694562642537496601708928630550185069L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 2), static_cast<RealType>(9.36184180108088288881787970896747209376324330610979L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 3), static_cast<RealType>(12.7303431758275183078115963473808796340618061355885L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 4), static_cast<RealType>(15.9998152121877557837972245675029531998475502716021L), tolerance * 4);
+//  
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 5), static_cast<RealType>(19.224610865671563344572152795434688888375602299773L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 6), static_cast<RealType>(22.424988389021059116212186912990863561607855849204L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 7), static_cast<RealType>(25.610441910658973993163304295977415738578740550282L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 8), static_cast<RealType>(28.786066313968546073981640755202085944374967166411L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000, 9), static_cast<RealType>(31.954857624676521867923579695253822854717613513587L), tolerance * 4);
+
+
+// Plot[BesselYZero[-7 - v, 1], {v, 0, 1}]  shows discontinuity at the mid-point between integers.
+
+/* Table[N[BesselYZero[-7 - (4999/10000), n], 51], {n, 1, 4, 1}]
+  1 | 3.59209698655443348407622952525352410710983745802573
+  2 | 11.6573245781899449398248761667833391837824916603434
+  3 | 15.4315262542144355217979771618575628291362029097236
+  4 | 18.9232143766706670333395285892576635207736306576135
+*/
+
+/* Table[N[BesselYZero[-7 - (5001/10000), n], 51], {n, 1, 4, 1}]
+  1 | 11.6567397956147934678808863468662427054245897492445
+  2 | 15.4310521624769624067699131497395566368341140531722
+  3 | 18.9227840182910629037411848072684247564491740961847
+  4 | 22.2951449444372591060253508661432751300205474374696
+*/
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 1), static_cast<RealType>(3.59209698655443348407622952525352410710983745802573L), tolerance * 2000);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 2), static_cast<RealType>(11.6573245781899449398248761667833391837824916603434L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 3), static_cast<RealType>(15.4315262542144355217979771618575628291362029097236L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(4999)/10000, 4), static_cast<RealType>(18.9232143766706670333395285892576635207736306576135L), tolerance * 100);
+
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 1), static_cast<RealType>(11.6567397956147934678808863468662427054245897492445L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 2), static_cast<RealType>(15.4310521624769624067699131497395566368341140531722L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 3), static_cast<RealType>(18.9227840182910629037411848072684247564491740961847L), tolerance * 100);
+    BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) -static_cast<RealType>(5001)/10000, 4), static_cast<RealType>(22.2951449444372591060253508661432751300205474374696L), tolerance * 100);
+
+  //BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-(static_cast<RealType>(-3)-static_cast<RealType>(99)/100), 5), 
+  //  cyl_neumann_zero(+(static_cast<RealType>(-3)-static_cast<RealType>(99)/100), 5), tolerance * 100);
+  {
+    long double x = 1.L;
+    BOOST_CHECK_CLOSE_FRACTION(
+      cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+      cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  }
+  {
+    long double x = 2.L;
+    BOOST_CHECK_CLOSE_FRACTION(
+      cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+      cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  }
+  {
+    long double x = 3.L;
+    BOOST_CHECK_CLOSE_FRACTION(
+      cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+      cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  }
+  // These are very close but not exactly same.
+  //{
+  //  RealType x = static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000;
+  //  BOOST_CHECK_CLOSE_FRACTION(
+  //    cyl_neumann_zero(-(static_cast<RealType>(x)), 5), 
+  //    cyl_neumann_zero(+(static_cast<RealType>(x)), 5), tolerance * 100);
+  //  // 19.2242889 and 19.2246113
+  //}
+  //{
+
+  //  RealType x = static_cast<RealType>(-3) -static_cast<RealType>(9999)/10000;
+  //  BOOST_CHECK_CLOSE_FRACTION(
+  //    cyl_neumann_zero(-(static_cast<RealType>(x)), 6), 
+  //    cyl_neumann_zero(+(static_cast<RealType>(x)), 6), tolerance * 100);
+  //  // 22.4246693 and 22.4249878
+  //}
+
+
+
+  //  2.5  18.6890354  17.1033592
+
+
+/*Table[N[BesselYZero[-1/81799, n], 51], {n, 1, 10, 5}]
+
+1 | 0.893559276290122922836047849416713592133322804889757
+2 | 3.95765935645507004204986415533750122885237402118726
+3 | 7.08603190350579828577279552434514387474680226004173
+4 | 10.2223258629823064789904339889550588869985272176335
+5 | 13.3610782840659145864973521693322670264135672594988
+3 | 7.08603190350579828577279552434514387474680226004173
+5 | 13.3610782840659145864973521693322670264135672594988
+6 | 16.5009032471619898684110089652474861084220781491575
+7 | 19.6412905039556082160052482410981245043314155416354
+9 | 25.9229384536173175152381652048590136247796591153244
+*/
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 1), static_cast<RealType>(0.893559276290122922836047849416713592133322804889757L), tolerance * 4);
+  // Doesn't converge!
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 2), static_cast<RealType>(3.95765935645507004204986415533750122885237402118726L), tolerance * 4);
+  BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 3), static_cast<RealType>(7.08603190350579828577279552434514387474680226004173L), tolerance * 4);
+  /* try positive x
+  Table[N[BesselYZero[1/81799, n], 51], {n, 1, 5, 1}]
+
+  1 | 0.893594656187326273432267210617481926490785928764963
+  2 | 3.95769748213950546166537901626409026826595687994956
+  3 | 7.08607021707716361104064671367526817399129653285580
+  4 | 10.2223642239960815612515914411615233651316361060338
+  5 | 13.3611166636685056799674772287389749065996094266976
+*/
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/81799, 2), static_cast<RealType>(3.95769748213950546166537901626409026826595687994956L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(1)/81799, 3), static_cast<RealType>(7.08607021707716361104064671367526817399129653285580L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 4), static_cast<RealType>(10.2223258629823064789904339889550588869985272176335L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 5), static_cast<RealType>(13.3610782840659145864973521693322670264135672594988L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 6), static_cast<RealType>(16.5009032471619898684110089652474861084220781491575L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(-static_cast<RealType>(1)/81799, 9), static_cast<RealType>(25.9229384536173175152381652048590136247796591153244L), tolerance * 4);
+   BOOST_CHECK_CLOSE_FRACTION(cyl_neumann_zero(static_cast<RealType>(-7) - static_cast<RealType>(1)/3, 1), static_cast<RealType>(7.3352783956690540155848592759652828459644819344081L), tolerance * 1000);
+
+  // Test Data for airy_ai_zero and airy_bi_zero functions.
+
+   using boost::math::airy_ai_zero; //
+
+   using boost::math::isnan;
+
+   BOOST_MATH_CHECK_THROW(airy_ai_zero<RealType>(0), std::domain_error);
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // If ignore errors, return NaN.
+    BOOST_CHECK((boost::math::isnan)(airy_ai_zero<RealType>(0, ignore_all_policy())));
+    BOOST_CHECK((boost::math::isnan)(airy_ai_zero<RealType>((std::numeric_limits<unsigned>::min)() , ignore_all_policy())));
+    // Can't abuse with NaN as won't compile.
+    //BOOST_MATH_CHECK_THROW(airy_ai_zero<RealType>(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+  else
+  { // real_concept NaN not available, so return zero.
+    BOOST_CHECK_EQUAL(airy_ai_zero<RealType>(0, ignore_all_policy()), 0);
+    // BOOST_CHECK_EQUAL(airy_ai_zero<RealType>(-1), 0); //  warning C4245: 'argument' : conversion from 'int' to 'unsigned int', signed/unsigned mismatch
+  }
+
+  BOOST_MATH_CHECK_THROW(airy_ai_zero<RealType>(-1), std::domain_error);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>((std::numeric_limits<boost::int32_t>::max)()), -static_cast<RealType>(4678579.33301973093739L), tolerance);
+
+  // Can't abuse with infinity because won't compile - no conversion.
+  //if (std::numeric_limits<RealType>::has_infinity)
+  //{
+  //  BOOST_CHECK(isnan(airy_bi_zero<RealType>(-1)) );
+  //}
+
+  // WolframAlpha  Table[N[AiryAiZero[n], 51], {n, 1, 20, 1}]
+
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1), static_cast<RealType>(-2.33810741045976703848919725244673544063854014567239L), tolerance * 2 * tolerance_tgamma_extra);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(2), static_cast<RealType>(-4.08794944413097061663698870145739106022476469910853L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(3), static_cast<RealType>(-5.52055982809555105912985551293129357379721428061753L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(4), static_cast<RealType>(-6.78670809007175899878024638449617696605388247739349L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(5), static_cast<RealType>(-7.94413358712085312313828055579826853214067439697221L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(6), static_cast<RealType>(-9.02265085334098038015819083988008925652467753515608L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(7), static_cast<RealType>(-10.0401743415580859305945567373625180940429025691058L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(8), static_cast<RealType>(-11.0085243037332628932354396495901510167308253815040L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(9), static_cast<RealType>(-11.9360155632362625170063649029305843155778862321198L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(10), static_cast<RealType>(-12.8287767528657572004067294072418244773864155995734L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(11), static_cast<RealType>(-13.6914890352107179282956967794669205416653698092008L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(12), static_cast<RealType>(-14.5278299517753349820739814429958933787141648698348L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(13), static_cast<RealType>(-15.3407551359779968571462085134814867051175833202480L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(14), static_cast<RealType>(-16.1326851569457714393459804472025217905182723970763L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(15), static_cast<RealType>(-16.9056339974299426270352387706114765990900510950317L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(16), static_cast<RealType>(-17.6613001056970575092536503040180559521532186681200L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(17), static_cast<RealType>(-18.4011325992071154158613979295043367545938146060201L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(18), static_cast<RealType>(-19.1263804742469521441241486897324946890754583847531L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(19), static_cast<RealType>(-19.8381298917214997009475636160114041983356824945389L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(20), static_cast<RealType>(-20.5373329076775663599826814113081017453042180147375L), tolerance);
+
+  // Table[N[AiryAiZero[n], 51], {n, 1000, 1001, 1}]
+
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000), static_cast<RealType>(-281.031519612521552835336363963709689055717463965420L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1001), static_cast<RealType>(-281.218889579130068414512015874511112547569713693446L), tolerance);
+
+  // Table[N[AiryAiZero[n], 51], {n, 1000000, 1000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000000), static_cast<RealType>(-28107.8319793795834876064419863203282898723750036048L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000001), static_cast<RealType>(-28107.8507179357979542838020057465277368471496446555L), tolerance);
+
+
+  // Table[N[AiryAiZero[n], 51], {n, 1000000000, 1000000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000000000), static_cast<RealType>(-2.81078366593344513918947921096193426320298300481145E+6L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_ai_zero<RealType>(1000000001), static_cast<RealType>(-2.81078366780730091663459728526906320267920607427246E+6L), tolerance);
+
+  // Test Data for airy_bi
+  using boost::math::airy_bi_zero;
+
+  BOOST_MATH_CHECK_THROW(airy_bi_zero<RealType>(0), std::domain_error);
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // return NaN.
+    BOOST_CHECK((boost::math::isnan)(airy_bi_zero<RealType>(0, ignore_all_policy())));
+    BOOST_CHECK((boost::math::isnan)(airy_bi_zero<RealType>((std::numeric_limits<unsigned>::min)() , ignore_all_policy())));
+    // Can't abuse with NaN as won't compile.
+    // BOOST_MATH_CHECK_THROW(airy_bi_zero<RealType>(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+    // cannot convert parameter 1 from 'boost::math::concepts::real_concept' to 'unsigned int'.
+  }
+  else
+  { // real_concept NaN not available, so return zero.
+    BOOST_CHECK_EQUAL(airy_bi_zero<RealType>(0, ignore_all_policy()), 0);
+    // BOOST_CHECK_EQUAL(airy_bi_zero<RealType>(-1), 0);
+    //  warning C4245: 'argument' : conversion from 'int' to 'unsigned int', signed/unsigned mismatch.
+    // If ignore the warning, interpreted as max unsigned:
+    // check airy_bi_zero<RealType>(-1) == 0 has failed [-7.42678e+006 != 0]
+  }
+
+  BOOST_MATH_CHECK_THROW(airy_bi_zero<RealType>(-1), std::domain_error);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>((std::numeric_limits<boost::int32_t>::max)()), -static_cast<RealType>(4678579.33229351984573L), tolerance * 300);
+
+  // Can't abuse with infinity because won't compile - no conversion.
+  //if (std::numeric_limits<RealType>::has_infinity)
+  //{
+  //  BOOST_CHECK(isnan(airy_bi_zero<RealType>(std::numeric_limits<RealType>::infinity)) );
+  //}
+
+  // Table[N[AiryBiZero[n], 51], {n, 1, 20, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1), static_cast<RealType>(-1.17371322270912792491997996247390210454364638917570L), tolerance * 4 * tolerance_tgamma_extra);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(2), static_cast<RealType>(-3.27109330283635271568022824016641380630093596910028L), tolerance * tolerance_tgamma_extra);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(3), static_cast<RealType>(-4.83073784166201593266770933990517817696614261732301L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(4), static_cast<RealType>(-6.16985212831025125983336452055593667996554943427563L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(5), static_cast<RealType>(-7.37676207936776371359995933044254122209152229939710L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(6), static_cast<RealType>(-8.49194884650938801344803949280977672860508755505546L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(7), static_cast<RealType>(-9.53819437934623888663298854515601962083907207638247L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(8), static_cast<RealType>(-10.5299135067053579244005555984531479995295775946214L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(9), static_cast<RealType>(-11.4769535512787794379234649247328196719482538148877L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(10), static_cast<RealType>(-12.3864171385827387455619015028632809482597983846856L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(11), static_cast<RealType>(-13.2636395229418055541107433243954907752411519609813L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(12), static_cast<RealType>(-14.1127568090686577915873097822240184716840428285509L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(13),  static_cast<RealType>(-14.9370574121541640402032143104909046396121763517782L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(14), static_cast<RealType>(-15.7392103511904827708949784797481833807180162767841L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(15), static_cast<RealType>(-16.5214195506343790539179499652105457167110310370581L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(16), static_cast<RealType>(-17.2855316245812425329342366922535392425279753602710L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(17), static_cast<RealType>(-18.0331132872250015721711125433391920008087291416406L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(18), static_cast<RealType>(-18.7655082844800810413429789236105128440267189551421L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(19), static_cast<RealType>(-19.4838801329892340136659986592413575122062977793610L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(20), static_cast<RealType>(-20.1892447853962024202253232258275360764649783583934L), tolerance);
+
+ // Table[N[AiryBiZero[n], 51], {n, 1000, 1001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000), static_cast<RealType>(-280.937811203415240157883427412260300146245056425646L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1001), static_cast<RealType>(-281.125212400956392021977771104562061554648675044114L), tolerance);
+
+  // Table[N[AiryBiZero[n], 51], {n, 1000000, 1000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000000), static_cast<RealType>(-28107.8226100991339342855024130953986989636667226163L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000001), static_cast<RealType>(-28107.8413486584714939255315213519230566014624895515L), tolerance);
+
+  //Table[N[AiryBiZero[n], 51], {n, 1000000000, 1000000001, 1}]
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000000000), static_cast<RealType>(-2.81078366499651725023268820158218492845371527054171E+6L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(airy_bi_zero<RealType>(1000000001), static_cast<RealType>(-2.81078366687037302799011557215619265502627118526716E+6L), tolerance);
+
+  // Check the multi-root versions.
+  {
+    unsigned int n_roots = 1U;
+    std::vector<RealType> roots;
+    boost::math::airy_ai_zero<RealType>(2U, n_roots, std::back_inserter(roots));
+    BOOST_CHECK_CLOSE_FRACTION(roots[0], static_cast<RealType>(-4.08794944413097061663698870145739106022476469910853L), tolerance);
+  }
+  {
+    unsigned int n_roots = 1U;
+    std::vector<RealType> roots;
+    boost::math::airy_bi_zero<RealType>(2U, n_roots, std::back_inserter(roots));
+    BOOST_CHECK_CLOSE_FRACTION(roots[0], static_cast<RealType>(-3.27109330283635271568022824016641380630093596910028L), tolerance * tolerance_tgamma_extra);
+  }
+} // template <class RealType> void test_spots(RealType)
+
+  #include <boost/multiprecision/cpp_dec_float.hpp>
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   test_bessel_zeros(0.1F);
+   test_bessel_zeros(0.1);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel_zeros(0.1L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel_zeros(boost::math::concepts::real_concept(0.1));
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
diff --git a/src/boost/libs/math/test/test_bessel_hooks.hpp b/src/boost/libs/math/test/test_bessel_hooks.hpp
new file mode 100644
index 000000000..c089e4acf
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_hooks.hpp
@@ -0,0 +1,97 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double jv(double, double);
+   float jvf(float, float);
+   long double jvl(long double, long double);
+   double yv(double, double);
+   float yvf(float, float);
+   long double yvl(long double, long double);
+}
+inline float cyl_bessel_j(float a, float x)
+{ return jvf(a, x); }
+inline double cyl_bessel_j(double a, double x)
+{ return jv(a, x); }
+inline long double cyl_bessel_j(long double a, long double x)
+{
+#ifdef BOOST_MSVC
+   return jv((double)a, x); 
+#else
+   return jvl(a, x); 
+#endif
+}
+inline float cyl_neumann(float a, float x)
+{ return yvf(a, x); }
+inline double cyl_neumann(double a, double x)
+{ return yv(a, x); }
+inline long double cyl_neumann(long double a, long double x)
+{
+#ifdef BOOST_MSVC
+   return yv((double)a, x); 
+#else
+   return yvl(a, x); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_bessel.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_message.h>
+
+namespace other{
+inline float cyl_bessel_j(float a, float x)
+{ return (float)gsl_sf_bessel_Jnu(a, x); }
+inline double cyl_bessel_j(double a, double x)
+{ return gsl_sf_bessel_Jnu(a, x); }
+inline long double cyl_bessel_j(long double a, long double x)
+{ return gsl_sf_bessel_Jnu(a, x); }
+
+inline float cyl_bessel_i(float a, float x)
+{ return (float)gsl_sf_bessel_Inu(a, x); }
+inline double cyl_bessel_i(double a, double x)
+{ return gsl_sf_bessel_Inu(a, x); }
+inline long double cyl_bessel_i(long double a, long double x)
+{ return gsl_sf_bessel_Inu(a, x); }
+
+inline float cyl_bessel_k(float a, float x)
+{ return (float)gsl_sf_bessel_Knu(a, x); }
+inline double cyl_bessel_k(double a, double x)
+{ return gsl_sf_bessel_Knu(a, x); }
+inline long double cyl_bessel_k(long double a, long double x)
+{ return gsl_sf_bessel_Knu(a, x); }
+
+inline float cyl_neumann(float a, float x)
+{ return (float)gsl_sf_bessel_Ynu(a, x); }
+inline double cyl_neumann(double a, double x)
+{ return gsl_sf_bessel_Ynu(a, x); }
+inline long double cyl_neumann(long double a, long double x)
+{ return gsl_sf_bessel_Ynu(a, x); }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept cyl_bessel_j(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept cyl_bessel_i(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept cyl_bessel_k(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept cyl_neumann(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_i.cpp b/src/boost/libs/math/test/test_bessel_i.cpp
new file mode 100644
index 000000000..b5a0bc520
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i.cpp
@@ -0,0 +1,154 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_bessel_i.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel I function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Mac OS has higher error rates, why?
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 400, 200);               // test function
+   //
+   // G++ on Linux, results vary a bit by processor type,
+   // on Itanium results are *much* better than listed here,
+   // but x86 appears to have much less accurate std::pow
+   // that throws off the results for tgamma(long double)
+   // which then impacts on the Bessel functions:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                    // test data group
+      ".*", 400, 200);               // test function
+
+   add_expected_result(
+      "GNU.*",                       // compiler
+      ".*",                          // stdlib
+      "Win32.*",                     // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                  // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 30, 10);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                 // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 500, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 20, 10);                 // test function
+   //
+   // Set error rates a little higher for real_concept - 
+   // now that we use a series approximation for small z
+   // that relies on tgamma the error rates are a little
+   // higher only when a Lanczos approximation is not available.
+   // All other types are unaffected.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 500, 200);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_i.hpp b/src/boost/libs/math/test/test_bessel_i.hpp
new file mode 100644
index 000000000..338c8b07f
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i.hpp
@@ -0,0 +1,180 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_i_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_IN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_IN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_i(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_I_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_I_FUNCTION_TO_TEST
+   pg funcp = BESSEL_I_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_i<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_i;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_IN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_i_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_i_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> i0_data = {{
+        {{ SC_(0.0), SC_(0.0), SC_(1.0) }},
+        {{ SC_(0.0), SC_(1.0), SC_(1.26606587775200833559824462521471753760767031135496220680814) }},
+        {{ SC_(0.0), SC_(-2.0), SC_(2.27958530233606726743720444081153335328584110278545905407084) }},
+        {{ SC_(0.0), SC_(4.0), SC_(11.3019219521363304963562701832171024974126165944353377060065) }},
+        {{ SC_(0.0), SC_(-7.0), SC_(168.593908510289698857326627187500840376522679234531714193194) }},
+        {{ SC_(0.0), SC_(0.0009765625), SC_(1.00000023841859331241759166109699567801556273303717896447683) }},
+        {{ SC_(0.0), SC_(9.5367431640625e-7), SC_(1.00000000000022737367544324498417583090700894607432256476338) }},
+        {{ SC_(0.0), SC_(-1.0), SC_(1.26606587775200833559824462521471753760767031135496220680814) }},
+        {{ SC_(0.0), SC_(100.0), SC_(1.07375170713107382351972085760349466128840319332527279540154e42) }},
+        {{ SC_(0.0), SC_(200.0), SC_(2.03968717340972461954167312677945962233267573614834337894328e85) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> i1_data = {{
+        {{ SC_(1.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(1.0), SC_(1.0), SC_(0.565159103992485027207696027609863307328899621621092009480294) }},
+        {{ SC_(1.0), SC_(-2.0), SC_(-1.59063685463732906338225442499966624795447815949553664713229) }},
+        {{ SC_(1.0), SC_(4.0), SC_(9.75946515370444990947519256731268090005597033325296730692753) }},
+        {{ SC_(1.0), SC_(-8.0), SC_(-399.873136782560098219083086145822754889628443904067647306574) }},
+        {{ SC_(1.0), SC_(0.0009765625), SC_(0.000488281308207663226432087816784315537514225208473395063575150) }},
+        {{ SC_(1.0), SC_(9.5367431640625e-7), SC_(4.76837158203179210108624277276025646653133998635956784292029E-7) }},
+        {{ SC_(1.0), SC_(-10.0), SC_(-2670.98830370125465434103196677215254914574515378753771310849) }},
+        {{ SC_(1.0), SC_(100.0), SC_(1.06836939033816248120614576322429526544612284405623226965918e42) }},
+        {{ SC_(1.0), SC_(200.0), SC_(2.03458154933206270342742797713906950389661161681122964159220e85) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 11> in_data = {{
+        {{ SC_(-2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(2.0), SC_(9.5367431640625e-7), SC_(1.13686837721624646204093977095674566928522671779753217215467e-13) }},
+        {{ SC_(5.0), SC_(10.0), SC_(777.188286403259959907293484802339632852674154572666041953297) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(9.47009387303558124618275555002161742321578485033007130107740e41) }},
+        {{ SC_(-5.0), SC_(-1.0), SC_(-0.000271463155956971875181073905153777342383564426758143634974124) }},
+        {{ SC_(10.0), SC_(20.0), SC_(3.54020020901952109905289138244985607057267103782948493874391e6) }},
+        {{ SC_(10.0), SC_(-5.0), SC_(0.00458004441917605126118647027872016953192323139337073320016447) }},
+        {{ SC_(1e+02), SC_(9.0), SC_(2.74306601746058997093587654668959071522869282506446891736820e-93) }},
+        {{ SC_(1e+02), SC_(80.0), SC_(4.65194832850610205318128191404145885093970505338730540776711e8) }},
+        {{ SC_(-100.0), SC_(-200.0), SC_(4.35275044972702191438729017441198257508190719030765213981307e74) }},
+        {{ SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070546737213403880e-1010) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> iv_data = {{
+        {{ SC_(2.25), SC_(9.5367431640625e-7), SC_(2.34379212133481347189068464680335815256364262507955635911656e-15) }},
+        {{ SC_(5.5), SC_(3.125), SC_(0.0583514045989371500460946536220735787163510569634133670181210) }},
+        {{ SC_(-4.9990234375), SC_(2.125), SC_(0.0267920938009571023702933210070984416052633027166975342895062) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(597.577606961369169607937419869926705730305175364662688426534) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(9.22362906144706871737354069133813819358704200689067071415379e41) }},
+        {{ SC_(-10.0002994537353515625), SC_(0.0009765625), SC_(1.41474005665181350367684623930576333542989766867888186478185e35) }},
+        {{ SC_(-10.0002994537353515625), SC_(50.0), SC_(1.07153277202900671531087024688681954238311679648319534644743e20) }},
+        {{ SC_(141.400390625), SC_(100.0), SC_(2066.27694757392660413922181531984160871678224178890247540320) }},
+        {{ SC_(141.400390625), SC_(200.0), SC_(2.23699739472246928794922868978337381373643889659337595319774e64) }},
+        {{ SC_(-141.400390625), SC_(100.0), SC_(2066.27694672763190927440969155740243346136463461655104698748) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 5> iv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(-1.0), SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(1.86458518280005168582274132886573345934411788365010172356788e-155) }},
+        {{ SC_(1.0),  SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(1.86458518280005168582274132886573345934411788365010172356788e-155) }},
+        {{ SC_(-1.125), SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(-1.34963720853101363690381585556234820027343435206156667634081e173) }},
+        {{ SC_(1.125),  SC_(3.7291703656001033716454826577314669186882357673002034471357591666031391925350591524680874452002139016807558e-155), SC_(8.02269390325932403421158766283366891170783955777638875887348e-175) }},
+        {{ SC_(0.5), SC_(1.2458993688871959419388378518880931736878259938089494331010226962863582408064841833232475731084062642684629e-206), SC_(8.90597649117647254543282704099383321071493400182381039079219e-104) }},
+    }};
+
+    do_test_cyl_bessel_i<T>(i0_data, name, "Bessel I0: Mathworld Data");
+    do_test_cyl_bessel_i<T>(i1_data, name, "Bessel I1: Mathworld Data");
+    do_test_cyl_bessel_i<T>(in_data, name, "Bessel In: Mathworld Data");
+
+    do_test_cyl_bessel_i_int<T>(i0_data, name, "Bessel I0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_int<T>(i1_data, name, "Bessel I1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_int<T>(in_data, name, "Bessel In: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_i<T>(iv_data, name, "Bessel Iv: Mathworld Data");
+
+#include "bessel_i_int_data.ipp"
+    do_test_cyl_bessel_i<T>(bessel_i_int_data, name, "Bessel In: Random Data");
+#include "bessel_i_data.ipp"
+    do_test_cyl_bessel_i<T>(bessel_i_data, name, "Bessel Iv: Random Data");
+
+    if(0 != static_cast<T>(ldexp(0.5, -700)))
+      do_test_cyl_bessel_i<T>(iv_large_data, name, "Bessel Iv: Mathworld Data (large values)");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_i_prime.cpp b/src/boost/libs/math/test/test_bessel_i_prime.cpp
new file mode 100644
index 000000000..3a2877373
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i_prime.cpp
@@ -0,0 +1,182 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+#include "test_bessel_i_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel I functions derivatives.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Mac OS has higher error rates, why?
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3500, 1500);               // test function
+   //
+   // G++ on Linux, results vary a bit by processor type,
+   // on Itanium results are *much* better than listed here,
+   // but x86 appears to have much less accurate std::pow
+   // that throws off the results for tgamma(long double)
+   // which then impacts on the Bessel functions:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                  // test data group
+      ".*", 600, 200);               // test function
+
+   add_expected_result(
+      "GNU.*",                       // compiler
+      ".*",                          // stdlib
+      "Win32.*",                     // platform
+      largest_type,                  // test type(s)
+      ".*Random.*",                  // test data group
+      ".*", 500, 200);               // test function
+   add_expected_result(
+      "GNU.*",                       // compiler
+      ".*",                          // stdlib
+      "Win32.*",                     // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3500, 1000);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*I'v.*Mathworld.*",          // test data group
+      ".*", 4000, 2000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                 // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 900, 300);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 25);                 // test function
+   //
+   // Set error rates a little higher for real_concept - 
+   // now that we use a series approximation for small z
+   // that relies on tgamma the error rates are a little
+   // higher only when a Lanczos approximation is not available.
+   // All other types are unaffected.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*I'v.*Mathworld.*",          // test data group
+      ".*", 4000, 2000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 800, 400);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 600, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 1);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_i_prime.hpp b/src/boost/libs/math/test/test_bessel_i_prime.hpp
new file mode 100644
index 000000000..91d93128f
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_i_prime.hpp
@@ -0,0 +1,183 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_i_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_IPN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_IPN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_i_prime(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_IP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_IP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_IP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_i_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_i_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_i_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_IPN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_i_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_i_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_i_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_i_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    BOOST_MATH_STD_USING
+    // function values calculated on wolframalpha.com
+    static const boost::array<boost::array<T, 3>, 10> i0_prime_data = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(0.0), SC_(1.0), SC_(0.565159103992485027207696027609863307328899621621) }},
+        {{ SC_(0.0), SC_(-2.0), SC_(-1.590636854637329063382254424999666247954478159496) }},
+        {{ SC_(0.0), SC_(4.0), SC_(9.75946515370444990947519256731268090005597033325) }},
+        {{ SC_(0.0), SC_(-7.0), SC_(-156.039092869955453462390580660711155630031052042) }},
+        {{ SC_(0.0), T(1) / 1024, SC_(0.000488281308207663226432087816784315537514225208473395) }},
+        {{ SC_(0.0), T(SC_(1.0)) / (1024*1024), SC_(4.76837158203179210108624277276025646653133998635957e-7) }},
+        {{ SC_(0.0), SC_(-1.0), SC_(-0.565159103992485027207696027609863307328899621621) }},
+        {{ SC_(0.0), SC_(100.0), SC_(1.068369390338162481206145763224295265446122844056e42) }},
+        {{ SC_(0.0), SC_(200.0), SC_(2.034581549332062703427427977139069503896611616811e85) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 10> i1_prime_data = {{
+        {{ SC_(1.0), SC_(0.0), SC_(0.5) }},
+        {{ SC_(1.0), SC_(1.0), SC_(0.700906773759523308390548597604854230278770689734) }},
+        {{ SC_(1.0), SC_(-2.0), SC_(1.484266875017402735746077228311700229308602023038) }},
+        {{ SC_(1.0), SC_(4.0), SC_(8.86205566371021801898747204138893227239862401112) }},
+        {{ SC_(1.0), SC_(-8.0), SC_(377.579973623984772900011405549855040764360549303) }},
+        {{ SC_(1.0), T(SC_(1.0))/1024, SC_(0.500000178813946168551133736709856567600996119560422) }},
+        {{ SC_(1.0), T(SC_(1.0))/(1024*1024), SC_(0.500000000000170530256582434815189962442052310320626) }},
+        {{ SC_(1.0), SC_(-10.0), SC_(2548.6177980961290060357079567493748381638767230173) }},
+        {{ SC_(1.0), SC_(100.0), SC_(1.063068013227692198707659399971251708633941964885e42) }},
+        {{ SC_(1.0), SC_(200.0), SC_(2.029514265663064306024535986893764274813192678064e85) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 11> in_prime_data = {{
+        {{ SC_(-2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(2.0), T(SC_(1.0))/(1024*1024), SC_(2.38418579101598640072416185021877537269848820467704e-7) }},
+        {{ SC_(5.0), SC_(10.0), SC_(837.8963945578616177877239800250165373153505679130) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(9.434574089052212641696648538570565739509851953166e41) }},
+        {{ SC_(-5.0), SC_(-1.0), SC_(0.001379804441262006949232714689824343061461150959112) }},
+        {{ SC_(10.0), SC_(20.0), SC_(3.887291476282816593964936516887942731146400030466e6) }},
+        {{ SC_(10.0), SC_(-5.0), SC_(-0.0101556299784624552653083645193223022003797137770) }},
+        {{ SC_(1e+02), SC_(9.0), SC_(3.0600487816519872979909028718737622834061708443e-92) }},
+        {{ SC_(1e+02), SC_(80.0), SC_(7.43545006374466980237328068214707549314834217923e8) }},
+        {{ SC_(-100.0), SC_(-200.0), SC_(-4.8578174816088978115191937982677942557681326349558e74) }},
+        {{ SC_(10.0), SC_(1e-100), SC_(2.6911444554673721340388007054673721340e-909) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 10> iv_prime_data = {{
+        {{ SC_(2.25), T(1)/(1024*1024), SC_(5.5296993766970839641084373853875345330202883e-9) }},
+        {{ SC_(5.5), SC_(3.125), SC_(0.11607917746126037030394881599790144677553715606) }},
+        {{ T(-5) + T(1)/1024, SC_(2.125), SC_(0.0001131925559871199041270456478317398625046249903864372470342210384462922281) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(659.1902595786901927596924259811320437384361101) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(9.191476042191556775282339209385028823905941708e41) }},
+        {{ T(-10486074)/(1024*1024), T(1)/1024, SC_(-1.44873720736417608945635957884937466861026978539e39) }},
+        {{ T(-10486074)/(1024*1024), SC_(50.0), SC_(1.082410021443599516897183930739816215073642812109e20) }},
+        {{ T(144794)/1024, SC_(100.0), SC_(3575.11008553328328036816705258135747714241715202) }},
+        {{ T(144794)/1024, SC_(200.0), SC_(2.7358895637426974377937620224627094172800852276956e64) }},
+        {{ T(-144794)/1024, SC_(100.0), SC_(3575.11008700037933897402396449269857968451879323) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 5> iv_prime_large_data = {{
+        {{ SC_(-1.0), static_cast<T>(ldexp(0.5, -512)), SC_(0.5) }},
+        {{ SC_(1.0),  static_cast<T>(ldexp(0.5, -512)), SC_(0.5) }},
+        {{ SC_(1.125),  static_cast<T>(ldexp(0.5, -512)), SC_(2.42025162605150606399395900489934587657244145536315936432966315563638e-20) }},
+        {{ SC_(0.5), static_cast<T>(ldexp(0.5, -683)), SC_(3.5741154998461284276309443770923823816821202344841143399486401387635e102) }},
+#if LDBL_MAX_10_EXP > 326
+        {{ SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), SC_(4.0715272050947359203430409041001937149343363573066460226173390878707e327) }},
+#else
+        { { SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>() } },
+#endif
+    }};
+
+    do_test_cyl_bessel_i_prime<T>(i0_prime_data, name, "Bessel I'0: Mathworld Data");
+    do_test_cyl_bessel_i_prime<T>(i1_prime_data, name, "Bessel I'1: Mathworld Data");
+    do_test_cyl_bessel_i_prime<T>(in_prime_data, name, "Bessel I'n: Mathworld Data");
+
+    do_test_cyl_bessel_i_prime_int<T>(i0_prime_data, name, "Bessel I'0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_prime_int<T>(i1_prime_data, name, "Bessel I'1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_i_prime_int<T>(in_prime_data, name, "Bessel I'n: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_i_prime<T>(iv_prime_data, name, "Bessel I'v: Mathworld Data");
+
+#include "bessel_i_prime_int_data.ipp"
+    do_test_cyl_bessel_i_prime<T>(bessel_i_prime_int_data, name, "Bessel I'n: Random Data");
+#include "bessel_i_prime_data.ipp"
+    do_test_cyl_bessel_i_prime<T>(bessel_i_prime_data, name, "Bessel I'v: Random Data");
+
+    if(0 != static_cast<T>(ldexp(static_cast<T>(0.5), -700)))
+      do_test_cyl_bessel_i_prime<T>(iv_prime_large_data, name, "Bessel I'v: Mathworld Data (large values)");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_j.cpp b/src/boost/libs/math/test/test_bessel_j.cpp
new file mode 100644
index 000000000..8e9f9f01b
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j.cpp
@@ -0,0 +1,309 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include "test_bessel_j.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel functions.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // HP-UX specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 80000000000LL, 80000000000LL);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J.*Tricky.*",              // test data group
+      ".*", 3000, 500);         // test function
+   //
+   // HP Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Tricky large.*",              // test data group
+      ".*", 3000, 1000);         // test function
+   //
+   // Solaris specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                              // compiler
+      ".*",                              // stdlib
+      "Sun Solaris",                     // platform
+      largest_type,                      // test type(s)
+      "Bessel J: Random Data.*Tricky.*", // test data group
+      ".*", 3000, 500);                  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",                  // test data group
+      ".*", 200000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      largest_type,                  // test type(s)
+      ".*J.*tricky.*",               // test data group
+      ".*", 400000000, 200000000);    // test function
+   //
+   // Mac OS X:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel JN.*",              // test data group
+      ".*", 40000, 20000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel J:.*",              // test data group
+      ".*", 50000, 20000);         // test function
+
+
+
+   //
+   // Linux specific results:
+   //
+   // sin and cos appear to have only double precision for large
+   // arguments on some linux distros:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                      // test type(s)
+      ".*J:.*",              // test data group
+      ".*", 40000, 30000);         // test function
+
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J0.*Tricky.*",              // test data group
+         ".*", 400000, 400000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J1.*Tricky.*",              // test data group
+         ".*", 5000, 5000);             // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*(JN|j).*|.*Tricky.*",       // test data group
+         ".*", 50, 50);                 // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 30, 30);                 // test function
+      //
+      // and we have a few cases with higher limits as well:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J0.*Tricky.*",              // test data group
+         ".*", 400000000, 400000000);   // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J1.*Tricky.*",              // test data group
+         ".*", 5000000, 5000000);       // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*(JN|j).*|.*Tricky.*",       // test data group
+         ".*", 33000, 20000);               // test function
+   }
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1.*Tricky.*",              // test data group
+      ".*", 5000000, 5000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bessel j:.*|Bessel JN: Mathworld.*|.*Tricky.*",       // test data group
+      ".*", 1500, 700);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Bessel J: Mathworld Data",    // test data group
+      ".*", 20, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_bessel(0.1F, "float");
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_j.hpp b/src/boost/libs/math/test/test_bessel_j.hpp
new file mode 100644
index 000000000..5884ac9f1
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j.hpp
@@ -0,0 +1,274 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_bessel_j(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_J_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_J_FUNCTION_TO_TEST
+   pg funcp = BESSEL_J_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_j<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_j;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class T>
+T cyl_bessel_j_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_JN_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_JN_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_bessel_j(boost::math::itrunc(v), x));
+#endif
+}
+
+
+template <class Real, class T>
+void do_test_cyl_bessel_j_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_j_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_j_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_bessel_j(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JS_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_JS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_JS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_bessel<value_type>;
+#else
+   pg funcp = boost::math::sph_bessel;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_bessel against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_bessel", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j0_data = {{
+       { { SC_(0.0), SC_(0.0), SC_(1.0) } },
+       { { SC_(0.0), SC_(1.0), SC_(0.7651976865579665514497175261026632209093) } },
+       { { SC_(0.0), SC_(-2.0), SC_(0.2238907791412356680518274546499486258252) } },
+       { { SC_(0.0), SC_(4.0), SC_(-0.3971498098638473722865907684516980419756) } },
+       { { SC_(0.0), SC_(-8.0), SC_(0.1716508071375539060908694078519720010684) } },
+        {{ SC_(0.0), SC_(1e-05), SC_(0.999999999975000000000156249999999565972) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(0.999999999999999999997500000000000000000) }},
+        {{ SC_(0.0), SC_(-1e+01), SC_(-0.2459357644513483351977608624853287538296) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 6> j0_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+       { { SC_(0.0), SC_(1e+03), SC_(0.02478668615242017456133073111569370878617) } },
+       { { SC_(0.0), SC_(1e+05), SC_(-0.001719201116235972192570601477073201747532) } },
+        // test at the roots:
+       { { SC_(0.0), SC_(2.4048252105712890625) /*T(2521642.0) / (1024 * 1024)*/, SC_(1.80208819970046790002973759410972422387259992955354630042138e-7) } },
+       { { SC_(0.0), SC_(5.52007770538330078125) /*T(5788221.0) / (1024 * 1024)*/, SC_(-1.37774249380686777043369399806210229535671843632174587432454e-7) } },
+       { { SC_(0.0), SC_(8.65372753143310546875) /*T(9074091.0) / (1024 * 1024)*/, SC_(1.03553057441100845081018471279571355857520645127532785991335e-7) } },
+       { { SC_(0.0), SC_(11.791534423828125) /*T(12364320.0) / (1024 * 1024)*/, SC_(-3.53017140778223781420794006033810387155048392363051866610931e-9) } }
+    }};    
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j1_data = {{
+       { { SC_(1.0), SC_(0.0), SC_(0.0) } },
+       { { SC_(1.0), SC_(1.0), SC_(0.4400505857449335159596822037189149131274) } },
+       { { SC_(1.0), SC_(-2.0), SC_(-0.5767248077568733872024482422691370869203) } },
+       { { SC_(1.0), SC_(4.0), SC_(-6.604332802354913614318542080327502872742e-02) } },
+       { { SC_(1.0), SC_(-8.0), SC_(-0.2346363468539146243812766515904546115488) } },
+       { { SC_(1.0), SC_(1e-05), SC_(4.999999999937500000000260416666666124132e-06) } },
+       { { SC_(1.0), SC_(1e-10), SC_(4.999999999999999999993750000000000000000e-11) } },
+       { { SC_(1.0), SC_(-1e+01), SC_(-4.347274616886143666974876802585928830627e-02) } },
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 5> j1_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+       { { SC_(1.0), SC_(1e+03), SC_(4.728311907089523917576071901216916285418e-03) } },
+       { { SC_(1.0), SC_(1e+05), SC_(1.846757562882567716362123967114215743694e-03) } },
+        // test zeros:
+       { { SC_(1.0), SC_(3.8317050933837890625) /*T(4017834) / (1024 * 1024)*/, SC_(3.53149033321258645807835062770856949751958513973522222203044e-7) } },
+       { { SC_(1.0), SC_(7.01558589935302734375) /*T(7356375) / (1024 * 1024)*/, SC_(-2.31227973111067286051984021150135526024117175836722748404342e-7) } },
+       { { SC_(1.0), SC_(10.1734676361083984375) /*T(10667654) / (1024 * 1024)*/, SC_(1.24591331097191900488116495350277530373473085499043086981229e-7) } },
+    }};
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 17> jn_data = {{
+        // This first one is a modified test case from https://svn.boost.org/trac/boost/ticket/2733
+       { { SC_(-1.0), SC_(1.25), SC_(-0.510623260319880467069474837274910375352924050139633057168856) } },
+       { { SC_(2.0), SC_(0.0), SC_(0.0) } },
+       { { SC_(-2.0), SC_(0.0), SC_(0.0) } },
+       { { SC_(2.0), SC_(1e-02), SC_(1.249989583365885362413250958437642113452e-05) } },
+       { { SC_(5.0), SC_(10.0), SC_(-0.2340615281867936404436949416457777864635) } },
+       { { SC_(5.0), SC_(-10.0), SC_(0.2340615281867936404436949416457777864635) } },
+       { { SC_(-5.0), SC_(1e+06), SC_(7.259643842453285052375779970433848914846e-04) } },
+       { { SC_(5.0), SC_(1e+06), SC_(-0.000725964384245328505237577997043384891484649290328285235308619) } },
+       { { SC_(-5.0), SC_(-1.0), SC_(2.497577302112344313750655409880451981584e-04) } },
+       { { SC_(10.0), SC_(10.0), SC_(0.2074861066333588576972787235187534280327) } },
+       { { SC_(10.0), SC_(-10.0), SC_(0.2074861066333588576972787235187534280327) } },
+       { { SC_(10.0), SC_(-5.0), SC_(1.467802647310474131107532232606627020895e-03) } },
+       { { SC_(-10.0), SC_(1e+06), SC_(-3.310793117604488741264958559035744460210e-04) } },
+       { { SC_(10.0), SC_(1e+06), SC_(-0.000331079311760448874126495855903574446020957243277028930713243) } },
+        {{ SC_(1e+02), SC_(8e+01), SC_(4.606553064823477354141298259169874909670e-06) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(1.283178112502480365195139312635384057363e-03) }},
+        { { SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070546737213403880e-1010) } },
+    }};
+    do_test_cyl_bessel_j<T>(j0_data, name, "Bessel J0: Mathworld Data");
+    do_test_cyl_bessel_j<T>(j0_tricky, name, "Bessel J0: Mathworld Data (Tricky cases)");
+    do_test_cyl_bessel_j<T>(j1_data, name, "Bessel J1: Mathworld Data");
+    do_test_cyl_bessel_j<T>(j1_tricky, name, "Bessel J1: Mathworld Data (tricky cases)");
+    do_test_cyl_bessel_j<T>(jn_data, name, "Bessel JN: Mathworld Data");
+
+    do_test_cyl_bessel_j_int<T>(j0_data, name, "Bessel J0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(j0_tricky, name, "Bessel J0: Mathworld Data (Tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(j1_data, name, "Bessel J1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(j1_tricky, name, "Bessel J1: Mathworld Data (tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_int<T>(jn_data, name, "Bessel JN: Mathworld Data (Integer Version)");
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 20> jv_data = {{
+        //SC_(-2.4), {{ SC_(0.0), std::numeric_limits<T>::infinity() }},
+       { { SC_(22.5), SC_(0.0), SC_(0.0) } },
+       { { SC_(2.3994140625) /*2457.0 / 1024*/, SC_(0.0009765625) /* 1 / 1024*/, SC_(3.80739920118603335646474073457326714709615200130620574875292e-9) } },
+        {{ SC_(5.5), SC_(3.1416015625) /* 3217/1024*/, SC_(0.0281933076257506091621579544064767140470089107926550720453038) }},
+        {{ SC_(-5.5), SC_(3.1416015625) /* 3217/1024*/, SC_(-2.55820064470647911823175836997490971806135336759164272675969) }},
+        {{ SC_(-5.5), SC_(1e+04), SC_(2.449843111985605522111159013846599118397e-03) }},
+        {{ SC_(5.5), SC_(1e+04), SC_(0.00759343502722670361395585198154817047185480147294665270646578) }},
+        {{ SC_(5.5), SC_(1e+06), SC_(-0.000747424248595630177396350688505919533097973148718960064663632) }},
+        {{ SC_(5.125), SC_(1e+06), SC_(-0.000776600124835704280633640911329691642748783663198207360238214) }},
+        {{ SC_(5.875), SC_(1e+06), SC_(-0.000466322721115193071631008581529503095819705088484386434589780) }},
+        { { SC_(0.5), SC_(101.0), SC_(0.0358874487875643822020496677692429287863419555699447066226409) } },
+        {{ SC_(-5.5), SC_(1e+04), SC_(0.00244984311198560552211115901384659911839737686676766460822577) }},
+        {{ SC_(-5.5), SC_(1e+06), SC_(0.000279243200433579511095229508894156656558211060453622750659554) }},
+        { { SC_(-0.5), SC_(101.0), SC_(0.0708184798097594268482290389188138201440114881159344944791454) } },
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(0.0009765625) /* 1/1024*/, SC_(1.41474013160494695750009004222225969090304185981836460288562e35) }},
+        { { SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(15.0), SC_(-0.0902239288885423309568944543848111461724911781719692852541489) } },
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(100.0), SC_(-0.05476136603168065513386371539426045507795139476742228638) }},
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(20000.0), SC_(-0.00556869085445857782456414284057389040183758546505700058) }},
+        // Bug report https://svn.boost.org/trac/boost/ticket/4812:
+        {{ SC_(1.5), SC_(7.845703125) /* 8034/1024*/, SC_(0.0339477646369710610146236955872928005087352629422508823945264) }},
+        {{ SC_(8.5), SC_(12.566370614359172953850573533118011536788677597500423283899778369231265625144835994512139301368468271928592346053) /*Pi * 4*/, SC_(0.0436807946352780974532519564114026730332781693877984686758680) }},
+        {{ SC_(-8.5), SC_(12.566370614359172953850573533118011536788677597500423283899778369231265625144835994512139301368468271928592346053) /*Pi * 4*/, SC_(-0.257086543428224355151772807588810984369026142375675714560864) }},
+    }};
+    do_test_cyl_bessel_j<T>(jv_data, name, "Bessel J: Mathworld Data");
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 4> jv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(-0.5), SC_(1.2458993688871959419388378518880931736878259938089494331010226962863582408064841833232475731084062642684629e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(7.14823099969225685526188875418476476336424046896822867989728e102) }},
+        { { SC_(256.0), SC_(512.0), SC_(0.00671672065717513246956991122723250578101154313313749938944675) } },
+        { { SC_(-256.0), SC_(8.0), SC_(1.46866142030022704638298523775638527553596432641223316232692e-353) } },
+        { { SC_(-2.5), SC_(4.0), SC_(-0.0145679476685218007666785535204236327832335803441449596297004) } },
+    }};
+    if(static_cast<T>(jv_large_data[0][1]) != 0)
+      do_test_cyl_bessel_j<T>(jv_large_data, name, "Bessel J: Mathworld Data (large values)");
+
+#include "bessel_j_int_data.ipp"
+    do_test_cyl_bessel_j<T>(bessel_j_int_data, name, "Bessel JN: Random Data");
+
+#include "bessel_j_data.ipp"
+    do_test_cyl_bessel_j<T>(bessel_j_data, name, "Bessel J: Random Data");
+
+#include "bessel_j_large_data.ipp"
+    do_test_cyl_bessel_j<T>(bessel_j_large_data, name, "Bessel J: Random Data (Tricky large values)");
+
+#include "sph_bessel_data.ipp"
+    do_test_sph_bessel_j<T>(sph_bessel_data, name, "Bessel j: Random Data");
+
+    //
+    // Some special cases:
+    //
+    BOOST_CHECK_EQUAL(boost::math::sph_bessel(0, T(0)), T(1));
+    BOOST_CHECK_EQUAL(boost::math::sph_bessel(1, T(0)), T(0));
+    BOOST_CHECK_EQUAL(boost::math::sph_bessel(100000, T(0)), T(0));
+
+    //
+    // Special cases that are errors:
+    //
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j(T(-2.5), T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j(T(-2.5), T(-2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j(T(2.5), T(-2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_j_prime.cpp b/src/boost/libs/math/test/test_bessel_j_prime.cpp
new file mode 100644
index 000000000..1fb69c813
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j_prime.cpp
@@ -0,0 +1,309 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#include "test_bessel_j_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel functions derivatives. There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // HP-UX specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J0'.*Tricky.*",              // test data group
+      ".*", 80000000000LL, 80000000000LL);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J1'.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                      // test type(s)
+      ".*J'.*Tricky.*",              // test data group
+      ".*", 3000, 500);         // test function
+   //
+   // HP Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",              // test data group
+      ".*", 100000, 100000);         // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Tricky large.*",              // test data group
+      ".*", 3000, 1000);         // test function
+   //
+   // Solaris specific rates:
+   //
+   // Error rate for double precision are limited by the accuracy of
+   // the approximations use, which bracket rather than preserve the root.
+   //
+   add_expected_result(
+      ".*",                              // compiler
+      ".*",                              // stdlib
+      "Sun Solaris",                     // platform
+      largest_type,                      // test type(s)
+      "Bessel J': Random Data.*Tricky.*", // test data group
+      ".*", 3000, 500);                  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      "double",                      // test type(s)
+      ".*Tricky.*",                  // test data group
+      ".*", 200000, 100000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun Solaris",                 // platform
+      largest_type,                  // test type(s)
+      ".*J'.*tricky.*",               // test data group
+      ".*", 400000000, 200000000);    // test function
+   //
+   // Mac OS X:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0'.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1'.*Tricky.*",              // test data group
+      ".*", 3000000, 2000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel JN'.*",              // test data group
+      ".*", 60000, 20000);         // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                      // test type(s)
+      "Bessel J':.*",              // test data group
+      ".*", 60000, 20000);         // test function
+
+
+
+   //
+   // Linux specific results:
+   //
+   // sin and cos appear to have only double precision for large
+   // arguments on some linux distros:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                      // test type(s)
+      ".*J':.*",              // test data group
+      ".*", 60000, 30000);         // test function
+
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J0'.*Tricky.*",              // test data group
+         ".*", 400000, 400000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*J1'.*Tricky.*",              // test data group
+         ".*", 5000, 5000);             // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*(JN'|j').*|.*Tricky.*",       // test data group
+         ".*", 50, 50);                 // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 30, 30);                 // test function
+      //
+      // and we have a few cases with higher limits as well:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J0'.*Tricky.*",              // test data group
+         ".*", 400000000, 400000000);   // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*J1'.*Tricky.*",              // test data group
+         ".*", 5000000, 5000000);       // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*(JN'|j').*|.*Tricky.*",       // test data group
+         ".*", 60000, 40000);               // test function
+   }
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J0'.*Tricky.*",              // test data group
+      ".*", 400000000, 400000000);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*J1'.*Tricky.*",              // test data group
+      ".*", 5000000, 5000000);       // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Bessel j':.*|Bessel JN': Mathworld.*|.*Tricky.*",       // test data group
+      ".*", 1500, 700);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 20);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Bessel J': Mathworld Data",    // test data group
+      ".*", 30, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_bessel_prime(0.1F, "float");
+   test_bessel_prime(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel_prime(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel_prime(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_j_prime.hpp b/src/boost/libs/math/test/test_bessel_j_prime.hpp
new file mode 100644
index 000000000..e9510c610
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_j_prime.hpp
@@ -0,0 +1,276 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_bessel_j_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_JP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_JP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_j_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_j_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+T cyl_bessel_j_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_JPN_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_JPN_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_bessel_j_prime(boost::math::itrunc(v), x));
+#endif
+}
+
+
+template <class Real, class T>
+void do_test_cyl_bessel_j_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JPN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_j_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_j_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_j against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_j_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_bessel_j_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_JPS_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_JPS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_JPS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_bessel_prime<value_type>;
+#else
+   pg funcp = boost::math::sph_bessel_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_bessel against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_bessel_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel_prime(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and J'(a, b):
+   // 
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j0_data = {{
+       {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(0.0), SC_(1.0), SC_(-0.440050585744933515959682203718914913127) }},
+        {{ SC_(0.0), SC_(-2.0), SC_(0.576724807756873387202448242269137086920) }},
+        {{ SC_(0.0), SC_(4.0), SC_(0.06604332802354913614318542080327502873) }},
+        {{ SC_(0.0), SC_(-8.0), SC_(0.2346363468539146243812766515904546115488) }},
+        {{ SC_(0.0), SC_(1e-05), SC_(-0.499999999993750000000026041666666612413194e-5) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(-0.499999999999999999999375000000000000000000e-10) }},
+        {{ SC_(0.0), SC_(-1e+01), SC_(0.0434727461688614366697487680258592883062724) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 6> j0_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+       {{ SC_(0.0), SC_(1e+03), SC_(-0.00472831190708952391757607190121691628542) }},
+        {{ SC_(0.0), SC_(1e+05), SC_(-0.0018467575628825677163621239671142157437) }},
+        // test at the regular Bessel roots:
+        {{ SC_(0.0), T(2521642)/(1024 * 1024), SC_(-0.519147572225778564548541576612898453392794) }},
+        {{ SC_(0.0), T(5788221)/(1024 * 1024), SC_(0.34026483151709114336072749629487476476084) }},
+        {{ SC_(0.0), T(9074091)/(1024 * 1024), SC_(-0.271452311894657014854145327490965399410) }},
+        {{ SC_(0.0), T(12364320)/(1024 * 1024), SC_(0.2324598316641066033541448467171088144257742) }}
+    }};    
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 8> j1_data = {{
+        {{ SC_(1.0), SC_(0.0), SC_(0.5) }},
+        {{ SC_(1.0), SC_(1.0), SC_(0.325147100813033035490035322383748307781902) }},
+        {{ SC_(1.0), SC_(-2.0), SC_(-0.064471624737201025549396666484619917634997) }},
+        {{ SC_(1.0), SC_(4.0), SC_(-0.38063897785796008825079441325087928479376) }},
+        {{ SC_(1.0), SC_(-8.0), SC_(0.1423212637808145780432098264031651746248) }},
+        {{ SC_(1.0), SC_(1e-05), SC_(0.499999999981250000000130208333332953559028) }},
+        {{ SC_(1.0), SC_(1e-10), SC_(0.499999999999999999998125000000000000000001) }},
+        {{ SC_(1.0), SC_(-1e+01), SC_(-0.250283039068234478864735739287914682660226) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 5> j1_tricky = {{
+        // Big numbers make the accuracy of std::sin the limiting factor:
+        {{ SC_(1.0), SC_(1e+03), SC_(0.024781957840513085037413155043792491869881) }},
+        {{ SC_(1.0), SC_(1e+05), SC_(-0.0017192195838116010182477650983128728897) }},
+        // test at the regular Bessel roots:
+        {{ SC_(1.0), T(4017834)/(1024*1024), SC_(-0.4027594878673806944036073218740057200193405151367) }},
+        {{ SC_(1.0), T(7356375)/(1024*1024), SC_(0.3001157854852247730548242543591186404228210449219) }},
+        {{ SC_(1.0), T(10667654)/(1024*1024), SC_(-0.2497048893045206718888096020236844196915626525879) }},
+    }};
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 17> jn_data = {{
+        {{ SC_(-1.0), SC_(1.25), SC_(-0.2374074770153809244011000600949046202003956) }},
+        {{ SC_(2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(-2.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(2.0), SC_(1e-02), SC_(0.00249995833352864539930612069540679799606337) }},
+        {{ SC_(5.0), SC_(10.0), SC_(-0.102571922008611714904101858221407144485) }},
+        {{ SC_(5.0), SC_(-10.0), SC_(-0.102571922008611714904101858221407144485) }},
+        {{ SC_(-5.0), SC_(1e+06), SC_(-0.0003310524513007044105585859534523271988) }},
+        {{ SC_(5.0), SC_(1e+06), SC_(0.0003310524513007044105585859534523271988) }},
+        {{ SC_(-5.0), SC_(-1.0), SC_(-0.001227850313053782886909720690402218190791576) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.08436957863176118824849051273337698304165) }},
+        {{ SC_(10.0), SC_(-10.0), SC_(-0.08436957863176118824849051273337698304165) }},
+        {{ SC_(10.0), SC_(-5.0), SC_(-0.00258467784485473925206548854676116157568106) }},
+        {{ SC_(-10.0), SC_(1e+06), SC_(-0.0007259518037193243350387875733893635962) }},
+        {{ SC_(10.0), SC_(1e+06), SC_(-0.0007259518037193243350387875733893635962) }},
+        {{ SC_(1e+02), SC_(8e+01), SC_(3.5036060582489177538508950593467499997755e-06) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(-0.0021724469777608393409850758227465776486) }},
+        {{ SC_(10.0), SC_(1e-100), SC_(2.69114445546737213403880070546737213403880070547e-909) }},
+    }};
+    do_test_cyl_bessel_j_prime<T>(j0_data, name, "Bessel J0': Mathworld Data");
+    do_test_cyl_bessel_j_prime<T>(j0_tricky, name, "Bessel J0': Mathworld Data (Tricky cases)");
+    do_test_cyl_bessel_j_prime<T>(j1_data, name, "Bessel J1': Mathworld Data");
+    do_test_cyl_bessel_j_prime<T>(j1_tricky, name, "Bessel J1': Mathworld Data (tricky cases)");
+    do_test_cyl_bessel_j_prime<T>(jn_data, name, "Bessel JN': Mathworld Data");
+
+    do_test_cyl_bessel_j_prime_int<T>(j0_data, name, "Bessel J0': Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(j0_tricky, name, "Bessel J0': Mathworld Data (Tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(j1_data, name, "Bessel J1': Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(j1_tricky, name, "Bessel J1': Mathworld Data (tricky cases) (Integer Version)");
+    do_test_cyl_bessel_j_prime_int<T>(jn_data, name, "Bessel JN': Mathworld Data (Integer Version)");
+
+    static const boost::array<boost::array<T, 3>, 21> jv_data = {{
+         {{ T(22.5), T(0), SC_(0.0) }},
+         {{ T(2457)/1024, T(1)/1024, SC_(9.35477929043111040277363766198320562099360690e-6) }},
+         {{ SC_(5.5), T(3217)/1024, SC_(0.042165579369684463582791278988393873) }},
+         {{ SC_(-5.5), T(3217)/1024, SC_(3.361570113176257957139775812778503494) }},
+         {{ SC_(-5.5), SC_(1e+04), SC_(0.007593311396019034252155600098309836289) }},
+         {{ SC_(5.5), SC_(1e+04), SC_(-0.00245022241637437956702428797044365092) }},
+         {{ SC_(5.5), SC_(1e+06), SC_(-0.000279242826717266554062248256927185394) }},
+         {{ SC_(5.125), SC_(1e+06), SC_(0.0001830632695189459708211614700642271) }},
+         {{ SC_(5.875), SC_(1e+06), SC_(-0.0006474276718101871487286860109203539) }},
+         {{ SC_(0.5), SC_(101.0), SC_(0.070640819172197226936337703929857171981702865) }},
+         {{ SC_(-5.5), SC_(1e+04), SC_(0.007593311396019034252155600098309836289) }},
+         {{ SC_(-5.5), SC_(1e+06), SC_(-0.0007474243882060190346457525218941411076) }},
+         {{ SC_(-0.5), SC_(101.0), SC_(-0.036238035321276062532981494694583591262302408) }},
+         {{ T(-10486074) / (1024*1024), T(1)/512, SC_(-7.0724447469115535625316241941528969321944e35) }},
+         {{ T(-10486074) / (1024*1024), SC_(15.0), SC_(-0.15994088796049823354364759206656917967697690) }},
+         {{ T(10486074) / (1024*1024), SC_(1e+02), SC_(-0.05778764167290516644655950658602424434253) }},
+         {{ T(10486074) / (1024*1024), SC_(2e+04), SC_(-0.00091101010794789360775314125410690740803) }},
+         {{ T(-10486074) / (1024*1024), SC_(1e+02), SC_(-0.057736130385111563671838499496767877709471701) }},
+         {{ SC_(1.5), T(8034)/1024, SC_(0.2783550354042687982259490073096357) }},
+         {{ SC_(8.5), boost::math::constants::pi<T>() * 4, SC_(-0.194590144622675911618596506265006877277074) }},
+         {{ SC_(-8.5), boost::math::constants::pi<T>() * 4, SC_(-0.014516314554743677558496402742690038592728) }},
+    }};
+    do_test_cyl_bessel_j_prime<T>(jv_data, name, "Bessel J': Mathworld Data");
+    static const boost::array<boost::array<T, 3>, 4> jv_large_data = {{
+#if LDBL_MAX_10_EXP > 308
+      {{ SC_(-0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(-2.8687031947358902542073388638943588627056993e308) }},
+#else
+      {{ SC_(-0.5), static_cast<T>(std::ldexp(0.5, -450)), SC_(-1.7688953183288445554095310240218576026580197125814e203) }},
+#endif
+      {{ SC_(256.0), SC_(512.0), SC_(0.032286467266411904239327492993951594201583145) }},
+      {{ SC_(-256.0), SC_(8.0), SC_(4.6974301387555891979202431551474684165419e-352) }},
+      {{ SC_(-2.5), SC_(4.0), SC_(-0.3580070651681080294136741901878543615958139) }},
+    }};
+    if(jv_large_data[0][1] != 0)
+      do_test_cyl_bessel_j_prime<T>(jv_large_data, name, "Bessel J': Mathworld Data (large values)");
+
+#include "bessel_j_prime_int_data.ipp"
+    do_test_cyl_bessel_j_prime<T>(bessel_j_prime_int_data, name, "Bessel JN': Random Data");
+
+#include "bessel_j_prime_data.ipp"
+    do_test_cyl_bessel_j_prime<T>(bessel_j_prime_data, name, "Bessel J': Random Data");
+
+#include "bessel_j_prime_large_data.ipp"
+    do_test_cyl_bessel_j_prime<T>(bessel_j_prime_large_data, name, "Bessel J': Random Data (Tricky large values)");
+
+#include "sph_bessel_prime_data.ipp"
+    do_test_sph_bessel_j_prime<T>(sph_bessel_prime_data, name, "Bessel j': Random Data");
+
+    //
+    // Some special cases:
+    //
+    BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_prime(T(1), T(0)), T(0.5));
+    BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_prime(T(-1), T(0)), T(-0.5));
+    BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j_prime(T(2), T(0)), T(0));
+
+    //
+    // Special cases that are errors:
+    //
+    BOOST_MATH_CHECK_THROW(boost::math::sph_bessel_prime(1, T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::sph_bessel_prime(100000, T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_prime(T(-2.5), T(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_prime(T(-2.5), T(-2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::cyl_bessel_j_prime(T(2.5), T(-2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_k.cpp b/src/boost/libs/math/test/test_bessel_k.cpp
new file mode 100644
index 000000000..f0975b46d
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k.cpp
@@ -0,0 +1,138 @@
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include "test_bessel_k.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel K function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+   //
+   // On MacOS X cyl_bessel_k has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a continued fraction evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 4000, 1300);             // test function
+
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 250, 100);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 100, 50);                // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 90, 50);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 35, 15);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_k.hpp b/src/boost/libs/math/test/test_bessel_k.hpp
new file mode 100644
index 000000000..402df0bc4
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k.hpp
@@ -0,0 +1,175 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_k_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_KN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_KN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_k(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_K_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_K_FUNCTION_TO_TEST
+   pg funcp = BESSEL_K_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_k<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_k;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_KN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_k_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_k_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> k0_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(0.421024438240708333335627379212609036136219748226660472298970) }},
+        {{ SC_(0.0), SC_(2.0), SC_(0.113893872749533435652719574932481832998326624388808882892530) }},
+        {{ SC_(0.0), SC_(4.0), SC_(0.0111596760858530242697451959798334892250090238884743405382553) }},
+        {{ SC_(0.0), SC_(8.0), SC_(0.000146470705222815387096584408698677921967305368833759024089154) }},
+        {{ SC_(0.0), SC_(0.000030517578125) /*T(std::ldexp(1.0, -15))*/, SC_(10.5131392267382037062459525561594822400447325776672021972753) }},
+        {{ SC_(0.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(20.9103469324567717360787328239372191382743831365906131108531) }},
+        {{ SC_(0.0), SC_(8.67361737988403547205962240695953369140625e-19) /*T(std::ldexp(1.0, -60))*/, SC_(41.7047623492551310138446473188663682295952219631968830346918) }},
+        {{ SC_(0.0), SC_(50.0), SC_(3.41016774978949551392067551235295223184502537762334808993276e-23) }},
+        {{ SC_(0.0), SC_(100.0), SC_(4.65662822917590201893900528948388635580753948544211387402671e-45) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> k1_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(0.601907230197234574737540001535617339261586889968106456017768) }},
+        {{ SC_(1.0), SC_(2.0), SC_(0.139865881816522427284598807035411023887234584841515530384442) }},
+        {{ SC_(1.0), SC_(4.0), SC_(0.0124834988872684314703841799808060684838415849886258457917076) }},
+        {{ SC_(1.0), SC_(8.0), SC_(0.000155369211805001133916862450622474621117065122872616157079566) }},
+        {{ SC_(1.0), SC_(0.000030517578125) /*T(std::ldexp(1.0, -15))*/, SC_(32767.9998319528316432647441316539139725104728341577594326513) }},
+        {{ SC_(1.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(1.07374182399999999003003028572687332810353799544215073362305e9) }},
+        {{ SC_(1.0), SC_(8.67361737988403547205962240695953369140625e-19) /*T(std::ldexp(1.0, -60))*/, SC_(1.15292150460684697599999999999999998169660198868126604634036e18) }},
+        {{ SC_(1.0), SC_(50.0), SC_(3.44410222671755561259185303591267155099677251348256880221927e-23) }},
+        {{ SC_(1.0), SC_(100.0), SC_(4.67985373563690928656254424202433530797494354694335352937465e-45) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> kn_data = {{
+        {{ SC_(2.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(2.30584300921369395150000000000000000234841952009593636868109e18) }},
+        {{ SC_(5.0), SC_(10.0), SC_(0.0000575418499853122792763740236992723196597629124356739596921536) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(5.27325611329294989461777188449044716451716555009882448801072e-45) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) }},
+        {{ SC_(10.0), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(3.78470202927236255215249281534478864916684072926050665209083e98) }},
+        {{ SC_(-10.0), SC_(1.0), SC_(1.80713289901029454691597861302340015908245782948536080022119e8) }},
+        {{ SC_(100.0), SC_(5.0), SC_(7.03986019306167654653386616796116726248616158936088056952477e115) }},
+        {{ SC_(100.0), SC_(80.0), SC_(8.39287107246490782848985384895907681748152272748337807033319e-12) }},
+        {{ SC_(-1000.0), SC_(700.0), SC_(6.51561979144735818903553852606383312984409361984128221539405e-31) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 11> kv_data = {{
+        {{ SC_(0.5), SC_(0.875), SC_(0.558532231646608646115729767013630967055657943463362504577189) }},
+        {{ SC_(0.5), SC_(1.125), SC_(0.383621010650189547146769320487006220295290256657827220786527) }},
+        {{ SC_(2.25), SC_(9.31322574615478515625e-10) /*T(std::ldexp(1.0, -30))*/, SC_(5.62397392719283271332307799146649700147907612095185712015604e20) }},
+        {{ SC_(5.5), SC_(3.1416015625) /*3217/1024*/, SC_(1.30623288775012596319554857587765179889689223531159532808379) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(0.0000733045300798502164644836879577484533096239574909573072142667) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(5.41274555306792267322084448693957747924412508020839543293369e-45) }},
+        {{ SC_(10.0), SC_(0.0009765625) /*1/1024*/, SC_(2.35522579263922076203415803966825431039900000000993410734978e38) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) }},
+        {{ SC_(141.3994140625) /*T(144793)/1024)*/, SC_(100.0), SC_(1.39565245860302528069481472855619216759142225046370312329416e-6) }},
+        {{ SC_(141.3994140625) /*T(144793)/1024)*/, SC_(200.0), SC_(9.11950412043225432171915100042647230802198254567007382956336e-68) }},
+        {{ SC_(-141.3994140625) /*T(-144793)/1024*/, SC_(50.0), SC_(1.30185229717525025165362673848737761549946548375142378172956e42) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 5> kv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(-1.0), SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(2.68156158598851941991480499964116922549587316411847867554471e154) }},
+        {{ SC_(1.0),  SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(2.68156158598851941991480499964116922549587316411847867554471e154) }},
+        {{ SC_(-1.125), SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(5.53984048006472105611199242328122729730752165907526178753978e173) }},
+        {{ SC_(1.125),  SC_(3.729170365600103371645482657731466918688235767300203447135759166603139192535059152468087445200213901e-155) /*static_cast<T>(ldexp(0.5, -512))*/, SC_(5.53984048006472105611199242328122729730752165907526178753978e173) }},
+        {{ SC_(0.5),  SC_(1.2458993688871959419388378518880931736878259938089494331010226962863582408064841833232475731084062642684629e-206) /*static_cast<T>(ldexp(0.5, -683))*/, SC_(1.12284149973980088540335945247019177715948513804063794284101e103) }},
+    }};
+
+    do_test_cyl_bessel_k<T>(k0_data, name, "Bessel K0: Mathworld Data");
+    do_test_cyl_bessel_k<T>(k1_data, name, "Bessel K1: Mathworld Data");
+    do_test_cyl_bessel_k<T>(kn_data, name, "Bessel Kn: Mathworld Data");
+
+    do_test_cyl_bessel_k_int<T>(k0_data, name, "Bessel K0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_int<T>(k1_data, name, "Bessel K1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_int<T>(kn_data, name, "Bessel Kn: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_k<T>(kv_data, name, "Bessel Kv: Mathworld Data");
+    if(0 != static_cast<T>(ldexp(0.5, -512)))
+      do_test_cyl_bessel_k<T>(kv_large_data, name, "Bessel Kv: Mathworld Data (large values)");
+#include "bessel_k_int_data.ipp"
+    do_test_cyl_bessel_k<T>(bessel_k_int_data, name, "Bessel Kn: Random Data");
+#include "bessel_k_data.ipp"
+    do_test_cyl_bessel_k<T>(bessel_k_data, name, "Bessel Kv: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_k_prime.cpp b/src/boost/libs/math/test/test_bessel_k_prime.cpp
new file mode 100644
index 000000000..6d69268f8
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k_prime.cpp
@@ -0,0 +1,129 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include "test_bessel_k_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel K functions derivatives.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+   //
+   // On MacOS X cyl_bessel_k has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a continued fraction evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 4000, 1300);             // test function
+
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 250, 100);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 100, 75);                // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 35, 15);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_k_prime.hpp b/src/boost/libs/math/test/test_bessel_k_prime.hpp
new file mode 100644
index 000000000..caeb03e72
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_k_prime.hpp
@@ -0,0 +1,179 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T cyl_bessel_k_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_KPN_FUNCTION_TO_TEST
+   return static_cast<T>(
+      BESSEL_KPN_FUNCTION_TO_TEST(
+      boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(
+      boost::math::cyl_bessel_k_prime(
+      boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_KP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_KP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_KP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_bessel_k_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_bessel_k_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_bessel_k_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_KPN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_bessel_k_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_bessel_k_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_bessel_k_prime against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_bessel_k_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+    // function values calculated on wolframalpha.com
+    static const boost::array<boost::array<T, 3>, 9> k0_prime_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(-0.60190723019723457473754000153561733926158688996810646) }},
+        {{ SC_(0.0), SC_(2.0), SC_(-0.1398658818165224272845988070354110238872345848415155) }},
+        {{ SC_(0.0), SC_(4.0), SC_(-0.012483498887268431470384179980806068483841584988625846) }},
+        {{ SC_(0.0), SC_(8.0), SC_(-0.00015536921180500113391686245062247462111706512287261616) }},
+        {{ SC_(0.0), T(std::ldexp(1.0, -15)), SC_(-32767.99983195283164326474413165391397251047283415776) }},
+        {{ SC_(0.0), T(std::ldexp(1.0, -30)), SC_(-1.0737418239999999900300302857268733281035379954421507e9) }},
+        {{ SC_(0.0), T(std::ldexp(1.0, -60)), SC_(-1.1529215046068469759999999999999999816966019886812660e18) }},
+        {{ SC_(0.0), SC_(50.0), SC_(-3.44410222671755561259185303591267155099677251348256880e-23) }},
+        {{ SC_(0.0), SC_(100.0), SC_(-4.6798537356369092865625442420243353079749435469433535e-45) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 9> k1_prime_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(-1.0229316684379429080731673807482263753978066381947669) }},
+        {{ SC_(1.0), SC_(2.0), SC_(-0.1838268136577946492950189784501873449419439168095666) }},
+        {{ SC_(1.0), SC_(4.0), SC_(-0.014280550807670132137341240975035006345969420135630802) }},
+        {{ SC_(1.0), SC_(8.0), SC_(-0.00016589185669844052883619221502648724960693850919283604) }},
+        {{ SC_(1.0), T(std::ldexp(1.0, -15)), SC_(-1.0737418290065696140247028419519880092107054138744140e9) }},
+        {{ SC_(1.0), T(std::ldexp(1.0, -30)), SC_(-1.1529215046068469862051734662283858692135761720165778e18) }},
+        {{ SC_(1.0), T(std::ldexp(1.0, -60)), SC_(-1.329227995784915872903807060280344596602381174627566e36) }},
+        {{ SC_(1.0), SC_(50.0), SC_(-3.47904979432384662617251257307120566286496082789299947e-23) }},
+        {{ SC_(1.0), SC_(100.0), SC_(-4.7034267665322711118046307319041297088872889209115474e-45) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 9> kn_prime_data = {{
+        {{ SC_(2.0), T(std::ldexp(1.0, -30)), SC_(-4.951760157141521099596496895999999995073222803776904e27) }},
+        {{ SC_(5.0), SC_(10.0), SC_(-0.0000666323621535481236223011866087784024278980735437002384) }},
+        {{ SC_(-5.0), SC_(100.0), SC_(-5.3060798744208349930861060378887340340201141387578377e-45) }},
+        {{ SC_(10.0), SC_(10.0), SC_(-0.00232426413420145080508626300083871228780582972491498296) }},
+        {{ SC_(10.0), T(std::ldexp(1.0, -30)), SC_(-4.0637928602074079595570948641288439020852370470244381e108) }},
+        {{ SC_(-10.0), SC_(1.0), SC_(-1.8171379399979651461891429013401068319174853467388121e9) }},
+        {{ SC_(100.0), SC_(5.0), SC_(-1.4097486373570936520327835736048715219413065916411893e117) }},
+        {{ SC_(100.0), SC_(80.0), SC_(-1.34557011017664184003144916855685180771861680634827508e-11) }},
+        {{ SC_(-1000.0), SC_(700.0), SC_(-1.136342773238774160870536985092768591616106526374957e-30) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 11> kv_prime_data = {{
+        {{ SC_(0.5), SC_(0.875), SC_(-0.8776935068732421581818610624499915196588910540138553643355820) }},
+        {{ SC_(0.5), SC_(1.125), SC_(-0.5541192376058293458786667962590089848709748151724170966916495) }},
+        {{ SC_(2.25), T(std::ldexp(1.0, -30)), SC_(-1.358706605110306964608847299464328015299661532e30) }},
+        {{ SC_(5.5), T(3217)/1024, SC_(-2.6903757178739422729800670428157504611799055394319992629519699) }},
+        {{ SC_(-5.5), SC_(10.0), SC_(-0.000086479759593318257340087317655128751755482676477180134416784728) }},
+        {{ SC_(-5.5), SC_(100.0), SC_(-5.4478425565190604625309457442097587701859746312164196732075323e-45) }},
+        {{ T(10240)/1024, T(1)/1024, SC_(-2.411751224440479729811903506282248205762559999997965494837863222e42) }},
+        {{ T(10240)/1024, SC_(10.0), SC_(-0.002324264134201450805086263000838712287805829724914982961118625775) }},
+        {{ T(144793)/1024, SC_(100.0), SC_(-2.419425330672365273534646536102117722944744737761477017402710069e-6) }},
+        {{ T(144793)/1024, SC_(200.0), SC_(-1.1183699286601178683373775100500418982738064865504029155187086e-67) }},
+        {{ T(-144793)/1024, SC_(50.0), SC_(-3.906473504308773541933992099338237076647113693807893258840087e42) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 5> kv_prime_large_data = {{
+        {{ SC_(-0.5), static_cast<T>(ldexp(0.5, -512)), SC_(-2.75176667129887692508287667455879592490037256500173136025362e231) }},
+        {{ SC_(0.5),  static_cast<T>(ldexp(0.5, -512)), SC_(-2.75176667129887692508287667455879592490037256500173136025362e231) }},
+#if LDBL_MAX_10_EXP > 328
+        {{ SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), SC_(-1.67123513518264734700327664054002130440723e328) }},
+        {{ SC_(1.125),  static_cast<T>(ldexp(0.5, -512)), SC_(-1.67123513518264734700327664054002130440723e328) }},
+        {{ SC_(0.5),  static_cast<T>(ldexp(0.5, -683)), SC_(-4.5061484409559214227217449664854025793393e308) }},
+#else
+        { { SC_(-1.125), static_cast<T>(ldexp(0.5, -512)), std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -boost::math::tools::max_value<T>() } },
+        { { SC_(1.125), static_cast<T>(ldexp(0.5, -512)), std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -boost::math::tools::max_value<T>() } },
+        { { SC_(0.5), static_cast<T>(ldexp(0.5, -683)), std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -boost::math::tools::max_value<T>() } },
+#endif
+    }};
+
+    do_test_cyl_bessel_k_prime<T>(k0_prime_data, name, "Bessel K'0: Mathworld Data");
+    do_test_cyl_bessel_k_prime<T>(k1_prime_data, name, "Bessel K'1: Mathworld Data");
+    do_test_cyl_bessel_k_prime<T>(kn_prime_data, name, "Bessel K'n: Mathworld Data");
+
+    do_test_cyl_bessel_k_prime_int<T>(k0_prime_data, name, "Bessel K'0: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_prime_int<T>(k1_prime_data, name, "Bessel K'1: Mathworld Data (Integer Version)");
+    do_test_cyl_bessel_k_prime_int<T>(kn_prime_data, name, "Bessel K'n: Mathworld Data (Integer Version)");
+
+    do_test_cyl_bessel_k_prime<T>(kv_prime_data, name, "Bessel K'v: Mathworld Data");
+    if(0 != static_cast<T>(ldexp(0.5, -512)))
+      do_test_cyl_bessel_k_prime<T>(kv_prime_large_data, name, "Bessel K'v: Mathworld Data (large values)");
+#include "bessel_k_prime_int_data.ipp"
+    do_test_cyl_bessel_k_prime<T>(bessel_k_prime_int_data, name, "Bessel K'n: Random Data");
+#include "bessel_k_prime_data.ipp"
+    do_test_cyl_bessel_k_prime<T>(bessel_k_prime_data, name, "Bessel K'v: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_y.cpp b/src/boost/libs/math/test/test_bessel_y.cpp
new file mode 100644
index 000000000..b37f190fc
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y.cpp
@@ -0,0 +1,269 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include "test_bessel_y.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel Y function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // HP-UX and Solaris rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                  // test type(s)
+      ".*Y[01Nv].*",           // test data group
+      ".*", 1300, 500);               // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Y[01Nv].*",           // test data group
+      ".*", 400, 200);               // test function
+
+   //
+   // Mac OS X rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv1]).*",           // test data group
+      ".*", 600000, 100000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      "long double|real_concept",        // test type(s)
+      ".*Y[0].*",           // test data group
+      ".*", 1200, 1000);               // test function
+
+   //
+   // Linux:
+   //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yv.*Random.*",              // test data group
+         ".*", 200000, 200000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yn.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // MinGW:
+   //
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yv.*Random.*",              // test data group
+         ".*", 200000, 200000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yn.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // Solaris version of long double has it's own error rates,
+   // again just a touch higher than msvc's 64-bit double:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y[0N].*Mathworld.*",              // test data group
+      ".*", 2000, 2000);         // test function
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Y[Nn].*",              // test data group
+         ".*", 20, 20);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Yv.*",              // test data group
+         ".*", 80, 70);         // test function
+   }
+#endif
+   //
+   // defaults are based on MSVC-8 on Win32:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 2000, 2000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 1500, 1000);               // test function
+   //
+   // Fallback for sun has to go after the general cases above:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y[0N].*",              // test data group
+      ".*", 200, 200);         // test function
+   //
+   // General fallback:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 80, 40);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Yv: Mathworld Data",    // test data group
+      ".*", 20, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_y.hpp b/src/boost/libs/math/test/test_bessel_y.hpp
new file mode 100644
index 000000000..2e2c42435
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y.hpp
@@ -0,0 +1,218 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_neumann_y(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_Y_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_Y_FUNCTION_TO_TEST
+   pg funcp = BESSEL_Y_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_neumann<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_neumann;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann", test_name);
+   std::cout << std::endl;
+
+#endif
+}
+
+template <class T>
+T cyl_neumann_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_YN_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_YN_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_neumann(boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_neumann_y_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_neumann_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_neumann_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_neumann_y(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YS_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_YS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_YS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_neumann<value_type>;
+#else
+   pg funcp = boost::math::sph_neumann;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_neumann", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y0_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(0.0882569642156769579829267660235151628278175230906755467110438) }},
+        {{ SC_(0.0), SC_(2.0), SC_(0.510375672649745119596606592727157873268139227085846135571839) }},
+        {{ SC_(0.0), SC_(4.0), SC_(-0.0169407393250649919036351344471532182404925898980149027169321) }},
+        {{ SC_(0.0), SC_(8.0), SC_(0.223521489387566220527323400498620359274814930781423577578334) }},
+        {{ SC_(0.0), SC_(1e-05), SC_(-7.40316028370197013259676050746759072070960287586102867247159) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(-14.7325162726972420426916696426209144888762342592762415255386) }},
+        {{ SC_(0.0), SC_(1e-20), SC_(-29.3912282502857968601858410375186700783698345615477536431464) }},
+        {{ SC_(0.0), SC_(1e+03), SC_(0.00471591797762281339977326146566525500985900489680197718528000) }},
+        {{ SC_(0.0), SC_(1e+05), SC_(0.00184676615886506410434074102431546125884886798090392516843524) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y1_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(-0.781212821300288716547150000047964820549906390716444607843833) }},
+        {{ SC_(1.0), SC_(2.0), SC_(-0.107032431540937546888370772277476636687480898235053860525795) }},
+        {{ SC_(1.0), SC_(4.0), SC_(0.397925710557100005253979972450791852271189181622908340876586) }},
+        {{ SC_(1.0), SC_(8.0), SC_(-0.158060461731247494255555266187483550327344049526705737651263) }},
+        {{ SC_(1.0), SC_(1e-10), SC_(-6.36619772367581343150789184284462611709080831190542841855708e9) }},
+        {{ SC_(1.0), SC_(1e-20), SC_(-6.36619772367581343075535053490057448139324059868649274367256e19) }},
+        {{ SC_(1.0), SC_(1e+01), SC_(0.249015424206953883923283474663222803260416543069658461246944) }},
+        {{ SC_(1.0), SC_(1e+03), SC_(-0.0247843312923517789148623560971412909386318548648705287583490) }},
+        {{ SC_(1.0), SC_(1e+05), SC_(0.00171921035008825630099494523539897102954509504993494957572726) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> yn_data = {{
+        {{ SC_(2.0), SC_(1e-20), SC_(-1.27323954473516268615107010698011489627570899691226996904849e40) }},
+        {{ SC_(5.0), SC_(10.0), SC_(0.135403047689362303197029014762241709088405766746419538495983) }},
+        {{ SC_(-5.0), SC_(1e+06), SC_(0.000331052088322609048503535570014688967096938338061796192422114) }},
+        {{ SC_(10.0), SC_(10.0), SC_(-0.359814152183402722051986577343560609358382147846904467526222) }},
+        {{ SC_(10.0), SC_(1e-10), SC_(-1.18280490494334933900960937719565669877576135140014365217993e108) }},
+        {{ SC_(-10.0), SC_(1e+06), SC_(0.000725951969295187086245251366365393653610914686201194434805730) }},
+        {{ SC_(1e+02), SC_(5.0), SC_(-5.08486391602022287993091563093082035595081274976837280338134e115) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(0.00217254919137684037092834146629212647764581965821326561261181) }},
+        {{ SC_(-1e+03), SC_(7e+02), SC_(-1.88753109980945889960843803284345261796244752396992106755091e77) }},
+        {{ SC_(-25.0), SC_(8.0), SC_(3.45113613777297661997458045843868931827873456761831907587263e8) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 11> yv_data = {{
+        //SC_(2.25), {{ SC_(1.0) / 1024, SC_(-1.01759203636941035147948317764932151601257765988969544340275e7) }},
+        {{ SC_(0.5), SC_(9.5367431640625e-7) /* 1/(1024*1024)*/, SC_(-817.033790261762580469303126467917092806755460418223776544122) }},
+        {{ SC_(5.5), SC_(3.125), SC_(-2.61489440328417468776474188539366752698192046890955453259866) }},
+        {{ SC_(-5.5), SC_(3.125), SC_(-0.0274994493896489729948109971802244976377957234563871795364056) }},
+        {{ SC_(-5.5), SC_(1e+04), SC_(-0.00759343502722670361395585198154817047185480147294665270646578) }},
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(0.0009765625) /*1/1024*/, SC_(-1.50382374389531766117868938966858995093408410498915220070230e38) }},
+        {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(1e+02), SC_(0.0583041891319026009955779707640455341990844522293730214223545) }},
+        {{ SC_(141.75), SC_(1e+02), SC_(-5.38829231428696507293191118661269920130838607482708483122068e9) }},
+        {{ SC_(141.75), SC_(2e+04), SC_(-0.00376577888677186194728129112270988602876597726657372330194186) }},
+        {{ SC_(-141.75), SC_(1e+02), SC_(-3.81009803444766877495905954105669819951653361036342457919021e9) }},
+        {{ SC_(8.5), SC_(12.56637061435917295385057353311801153678867759750042328389) /*4Pi*/, SC_(0.257086543428224355151772807588810984369026142375675714560864) }},
+        {{ SC_(-8.5), SC_(12.56637061435917295385057353311801153678867759750042328389) /*4Pi*/, SC_(0.0436807946352780974532519564114026730332781693877984686758680) }},
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 7> yv_large_data = {{
+        // Bug report https://svn.boost.org/trac/boost/ticket/5560:
+        {{ SC_(0.5), SC_(1.24589936888719594193883785188809317368782599380894e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(-7.14823099969225685526188875418476476336424046896822867989728e102) }},
+        {{ SC_(-0.5), SC_(1.24589936888719594193883785188809317368782599380894e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(8.90597649117647254543282704099383321071493400182381039079219e-104) }},
+        {{ SC_(0.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-23.4611779112897561252987257324561640034037313549011724328997) }},
+        {{ SC_(1.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-5.73416113922265864550047623401604244038331542638719289100990e15) }},
+        {{ SC_(2.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-1.03297463879542177245046832533417970379386617249046560049244e32) }},
+        {{ SC_(3.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-3.72168335868978735639260528876490232745489151562358712422544e48) }},
+        {{ SC_(10.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-4.15729476804920974669173904282420477878640623992500096231384e167) }},
+    }};
+
+    do_test_cyl_neumann_y<T>(y0_data, name, "Y0: Mathworld Data");
+    do_test_cyl_neumann_y<T>(y1_data, name, "Y1: Mathworld Data");
+    do_test_cyl_neumann_y<T>(yn_data, name, "Yn: Mathworld Data");
+    do_test_cyl_neumann_y_int<T>(y0_data, name, "Y0: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_int<T>(y1_data, name, "Y1: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_int<T>(yn_data, name, "Yn: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y<T>(yv_data, name, "Yv: Mathworld Data");
+    if(static_cast<T>(yv_large_data[0][1]) != 0)
+      do_test_cyl_neumann_y<T>(yv_large_data, name, "Yv: Mathworld Data (large values)");
+
+#include "bessel_y01_data.ipp"
+    do_test_cyl_neumann_y<T>(bessel_y01_data, name, "Y0 and Y1: Random Data");
+#include "bessel_yn_data.ipp"
+    do_test_cyl_neumann_y<T>(bessel_yn_data, name, "Yn: Random Data");
+#include "bessel_yv_data.ipp"
+    do_test_cyl_neumann_y<T>(bessel_yv_data, name, "Yv: Random Data");
+
+#include "sph_neumann_data.ipp"
+    do_test_sph_neumann_y<T>(sph_neumann_data, name, "y: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_bessel_y_prime.cpp b/src/boost/libs/math/test/test_bessel_y_prime.cpp
new file mode 100644
index 000000000..4bcfd8fb9
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y_prime.cpp
@@ -0,0 +1,269 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#include "test_bessel_y_prime.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel Y functions derivatives.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with Boost.Multiprecision at 50 precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // HP-UX and Solaris rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 150000, 30000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                  // test type(s)
+      ".*Y'[01Nv].*",           // test data group
+      ".*", 1300, 500);               // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Y'[01Nv].*",           // test data group
+      ".*", 400, 200);               // test function
+
+   //
+   // Mac OS X rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y'[nv1]).*",           // test data group
+      ".*", 600000, 100000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      "long double|real_concept",        // test type(s)
+      ".*Y'[0].*",           // test data group
+      ".*", 1500, 1000);               // test function
+
+   //
+   // Linux:
+   //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'v.*Random.*",              // test data group
+         ".*", 400000, 200000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'n.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // MinGW:
+   //
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'v.*Random.*",              // test data group
+         ".*", 400000, 300000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         "GNU.*",                          // compiler
+         ".*",                          // stdlib
+         "Win32.*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y'n.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // Solaris version of long double has it's own error rates,
+   // again just a touch higher than msvc's 64-bit double:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y'[0N].*Mathworld.*",              // test data group
+      ".*", 2000, 2000);         // test function
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Y'[Nn].*",              // test data group
+         ".*", 20, 20);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Y'v.*",              // test data group
+         ".*", 200, 70);         // test function
+   }
+#endif
+   //
+   // defaults are based on MSVC-8 on Win32:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 40000, 3000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*(Y'[nv]|y').*Random.*",           // test data group
+      ".*", 40000, 3000);               // test function
+   //
+   // Fallback for sun has to go after the general cases above:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y'[0N].*",              // test data group
+      ".*", 200, 200);         // test function
+   //
+   // General fallback:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 700, 300);                 // test function
+   //
+   // One set of float tests has inexact input values, so there is a slight error:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float",                       // test type(s)
+      "Y'v: Mathworld Data",    // test data group
+      ".*", 30, 20);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel_prime(0.1F, "float");
+#endif
+   test_bessel_prime(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel_prime(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel_prime(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_bessel_y_prime.hpp b/src/boost/libs/math/test/test_bessel_y_prime.hpp
new file mode 100644
index 000000000..b2a898828
--- /dev/null
+++ b/src/boost/libs/math/test/test_bessel_y_prime.hpp
@@ -0,0 +1,221 @@
+//  Copyright (c) 2013 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_cyl_neumann_y_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BESSEL_YP_FUNCTION_TO_TEST
+   pg funcp = BESSEL_YP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cyl_neumann_prime<value_type, value_type>;
+#else
+   pg funcp = boost::math::cyl_neumann_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+#include <boost/math/concepts/real_concept.hpp>
+   //
+   // test cyl_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+T cyl_neumann_prime_int_wrapper(T v, T x)
+{
+#ifdef BESSEL_YNP_FUNCTION_TO_TEST
+   return static_cast<T>(BESSEL_YNP_FUNCTION_TO_TEST(boost::math::itrunc(v), x));
+#else
+   return static_cast<T>(boost::math::cyl_neumann_prime(boost::math::itrunc(v), x));
+#endif
+}
+
+template <class Real, class T>
+void do_test_cyl_neumann_y_prime_int(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YNP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = cyl_neumann_prime_int_wrapper<value_type>;
+#else
+   pg funcp = cyl_neumann_prime_int_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cyl_neumann derivative against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann_prime (integer orders)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_sph_neumann_y_prime(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YSP_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef BESSEL_YPS_FUNCTION_TO_TEST
+   pg funcp = BESSEL_YPS_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sph_neumann_prime<value_type>;
+#else
+   pg funcp = boost::math::sph_neumann_prime;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sph_neumann against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_neumann_prime", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_bessel_prime(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and Y'(a, b):
+   // 
+    // function values calculated on wolframalpha.com
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y0_prime_data = {{
+        {{ SC_(0.0), SC_(1.0), SC_(0.7812128213002887165471500000479648205499063907164) }},
+        {{ SC_(0.0), SC_(2.0), SC_(0.1070324315409375468883707722774766366874808982351) }},
+        {{ SC_(0.0), SC_(4.0), SC_(-0.397925710557100005253979972450791852271189181623) }},
+        {{ SC_(0.0), SC_(8.0), SC_(0.15806046173124749425555526618748355032734404952671) }},
+        {{ SC_(0.0), SC_(1e-05), SC_(63661.97727536548515747484843924772510915025447869) }},
+        {{ SC_(0.0), SC_(1e-10), SC_(6.366197723675813431507891842844626117090808311905e9) }},
+        {{ SC_(0.0), SC_(1e-20), SC_(6.366197723675813430755350534900574482790569176554e19) }},
+        {{ SC_(0.0), SC_(1e+03), SC_(0.0247843312923517789148623560971412909386318548649) }},
+        {{ SC_(0.0), SC_(1e+05), SC_(-0.00171921035008825630099494523539897102954509505) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y1_prime_data = {{
+        {{ SC_(1.0), SC_(1.0), SC_(0.8694697855159656745300767660714799833777239138071) }},
+        {{ SC_(1.0), SC_(2.0), SC_(0.5638918884202138930407919788658961916118796762034) }},
+        {{ SC_(1.0), SC_(4.0), SC_(-0.116422166964339993217130127559851181308289885304) }},
+        {{ SC_(1.0), SC_(8.0), SC_(0.24327904710397215730926780877205580306573293697226) }},
+        {{ SC_(1.0), SC_(1e-10), SC_(6.366197723675813430034640215574901912821641347643e19) }},
+        {{ SC_(1.0), SC_(1e-20), SC_(6.366197723675813430755350534900574481363849370436e39) }},
+        {{ SC_(1.0), SC_(1e+01), SC_(0.030769624862904003032131529943867767819086460209939) }},
+        {{ SC_(1.0), SC_(1e+03), SC_(0.004740702308915165178688123821762396300797636752) }},
+        {{ SC_(1.0), SC_(1e+05), SC_(0.00184674896676156322177773107486310726913857253) }}
+    }};
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> yn_prime_data = {{
+        {{ SC_(2.0), SC_(1e-20), SC_(2.546479089470325372302140213960229792551354331847e60) }},
+        {{ SC_(5.0), SC_(10.0), SC_(-0.21265103571277493482623417349611996600573875672875) }},
+        {{ SC_(-5.0), SC_(1e+06), SC_(0.00072596421871030053058120610033601018452750251) }},
+        {{ SC_(10.0), SC_(10.0), SC_(0.16051488637815838440809874678012991818716553338993) }},
+        {{ SC_(10.0), SC_(1e-10), SC_(1.1828049049433493390095436658120487349235941485975e119) }},
+        {{ SC_(-10.0), SC_(1e+06), SC_(-0.00033107967471992097725245404942310474516318425) }},
+        {{ SC_(1e+02), SC_(5.0), SC_(1.0156878983956300357005118672219842696133568692723e117) }},
+        {{ SC_(1e+03), SC_(1e+05), SC_(0.00128310308817651270517132752369325022363869159) }},
+        {{ SC_(-1e+03), SC_(7e+02), SC_(1.9243675144213106227065036295645482241938721428442e77) }},
+        {{ SC_(-25.0), SC_(8.0), SC_(-1.0191840913424144032043561764980932223038174827996e9) }}
+    }};
+    static const boost::array<boost::array<T, 3>, 11> yv_prime_data = {{
+        {{ SC_(0.5), T(1) / (1024*1024), SC_(4.283610118295381639304989276580713877375759e8) }},
+        {{ SC_(5.5), SC_(3.125), SC_(3.46903134947470280592767672475643312107258) }},
+        {{ SC_(-5.5), SC_(3.125), SC_(-0.04142495199637659623440832639970224440469) }},
+        {{ SC_(-5.5), SC_(1e+04), SC_(0.00245022241637437956702428797044365092097074) }},
+        {{ T(-10486074) / (1024*1024), T(1)/1024, SC_(1.539961618935582531021699399508514975292038639e42) }},
+        {{ T(-10486074) / (1024*1024), SC_(1e+02), SC_(-0.054782042073650048917092191171177791880141278121) }},
+        {{ SC_(141.75), SC_(1e+02), SC_(5.3859930471571245788582581390871501852536045509e9) }},
+        {{ SC_(141.75), SC_(2e+04), SC_(-0.0042010736481689878858599823347897260616269998902) }},
+        {{ SC_(-141.75), SC_(1e+02), SC_(3.8084722070683992315593455637944657331085673830e9) }},
+        {{ SC_(8.5), boost::math::constants::pi<T>() * 4, SC_(0.014516314554743677558496402742690038592727861) }},
+        {{ SC_(-8.5), boost::math::constants::pi<T>() * 4, SC_(-0.194590144622675911618596506265006877277073804) }},
+    }};
+    static const boost::array<boost::array<T, 3>, 7> yv_prime_large_data = {{
+#if LDBL_MAX_10_EXP > 326
+        {{ SC_(0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(2.868703194735890254207338863894358862705699335892099e308) }},
+#else
+        {{ SC_(0.5), static_cast<T>(std::ldexp(0.5, -400)), SC_(4.6822269214637968690651040333526494618220547616350e180) }},
+#endif
+        {{ SC_(-0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(3.5741154998461284276309443770923823816821202344841e102) }},
+        {{ SC_(0.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(5.73416113922265864550047623401604244038331542638719289e15) }},
+        {{ SC_(1.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(5.164873193977108862252341626669725460073766e31) }},
+        {{ SC_(2.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(1.8608416793448936781963026443824482966468761e48) }},
+        {{ SC_(3.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(1.0056583072431781406772110820260315331263726e65) }},
+        {{ SC_(10.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(3.74455823365114672304576809031094538692683400e184) }},
+    }};
+
+    do_test_cyl_neumann_y_prime<T>(y0_prime_data, name, "Y'0: Mathworld Data");
+    do_test_cyl_neumann_y_prime<T>(y1_prime_data, name, "Y'1: Mathworld Data");
+    do_test_cyl_neumann_y_prime<T>(yn_prime_data, name, "Y'n: Mathworld Data");
+    do_test_cyl_neumann_y_prime_int<T>(y0_prime_data, name, "Y'0: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_prime_int<T>(y1_prime_data, name, "Y'1: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_prime_int<T>(yn_prime_data, name, "Y'n: Mathworld Data (Integer Version)");
+    do_test_cyl_neumann_y_prime<T>(yv_prime_data, name, "Y'v: Mathworld Data");
+    if(yv_prime_large_data[0][1] != 0)
+      do_test_cyl_neumann_y_prime<T>(yv_prime_large_data, name, "Y'v: Mathworld Data (large values)");
+
+#include "bessel_y01_prime_data.ipp"
+    do_test_cyl_neumann_y_prime<T>(bessel_y01_prime_data, name, "Y'0 and Y'1: Random Data");
+#include "bessel_yn_prime_data.ipp"
+    do_test_cyl_neumann_y_prime<T>(bessel_yn_prime_data, name, "Y'n: Random Data");
+#include "bessel_yv_prime_data.ipp"
+    do_test_cyl_neumann_y_prime<T>(bessel_yv_prime_data, name, "Y'v: Random Data");
+
+#include "sph_neumann_prime_data.ipp"
+    do_test_sph_neumann_y_prime<T>(sph_neumann_prime_data, name, "y': Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_beta.cpp b/src/boost/libs/math/test/test_beta.cpp
new file mode 100644
index 000000000..c807757ce
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta.cpp
@@ -0,0 +1,139 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+
+#include "test_beta.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the function beta.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+#if LDBL_MANT_DIG == 106
+   // Darwin:
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS.*",                    // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 200, 35); // test function
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Small.*",      // test data group
+      "beta", 8, 5);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 160, 35); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "(long\\s+)?double",           // test type(s)
+      "Beta Function: Divergent.*",  // test data group
+      "beta", 30, 6);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Beta Function: Small.*",      // test data group
+      "beta", 25, 15);   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Beta Function: Medium.*",     // test data group
+      "beta", 150, 40); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Beta Function: Divergent.*",  // test data group
+      "beta", 30, 15);   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F);
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_beta(0.1F, "float");
+   test_beta(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_beta(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_beta.hpp b/src/boost/libs/math/test/test_beta.hpp
new file mode 100644
index 000000000..f9c237d59
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta.hpp
@@ -0,0 +1,103 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+# pragma warning (disable : 4996) // POSIX name for this item is deprecated
+# pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type
+# pragma warning (disable : 4180) // qualifier applied to function type has no meaning; ignored
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#undef small // VC++ #defines small char !!!!!!
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_beta(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef BETA_FUNCTION_TO_TEST
+   pg funcp = BETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::beta<value_type, value_type>;
+#else
+   pg funcp = boost::math::beta;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test beta against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta", test_name);
+   std::cout << std::endl;
+#endif
+}
+template <class T>
+void test_beta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and beta(a, b):
+   // 
+#  include "beta_small_data.ipp"
+
+   do_test_beta<T>(beta_small_data, name, "Beta Function: Small Values");
+
+#  include "beta_med_data.ipp"
+
+   do_test_beta<T>(beta_med_data, name, "Beta Function: Medium Values");
+
+#  include "beta_exp_data.ipp"
+
+   do_test_beta<T>(beta_exp_data, name, "Beta Function: Divergent Values");
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // Basic sanity checks, tolerance is 20 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 20 * 100;
+   T small = boost::math::tools::epsilon<T>() / 1024;
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(1)), static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(4)), static_cast<T>(0.25), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(1)), static_cast<T>(0.25), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(small, static_cast<T>(4)), 1/small, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), small), 1/small, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(20)), static_cast<T>(0.00002823263692828910220214568040654997176736L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(0.0125L), static_cast<T>(0.000023L)), static_cast<T>(43558.24045647538375006349016083320744662L), tolerance * 2);
+}
+
diff --git a/src/boost/libs/math/test/test_beta_dist.cpp b/src/boost/libs/math/test/test_beta_dist.cpp
new file mode 100644
index 000000000..9608d898c
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta_dist.cpp
@@ -0,0 +1,664 @@
+// test_beta_dist.cpp
+
+// Copyright John Maddock 2006.
+// Copyright  Paul A. Bristow 2007, 2009, 2010, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity tests for the beta Distribution.
+
+// http://members.aol.com/iandjmsmith/BETAEX.HTM  beta distribution calculator
+// Appears to be a 64-bit calculator showing 17 decimal digit (last is noisy).
+// Similar to mathCAD?
+
+// http://www.nuhertz.com/statmat/distributions.html#Beta
+// Pretty graphs and explanations for most distributions.
+
+// http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp
+// provided 40 decimal digits accuracy incomplete beta aka beta regularized == cdf
+
+// http://www.ausvet.com.au/pprev/content.php?page=PPscript
+// mode 0.75    5/95% 0.9    alpha 7.39    beta 3.13
+// http://www.epi.ucdavis.edu/diagnostictests/betabuster.html
+// Beta Buster also calculates alpha and beta from mode & percentile estimates.
+// This is NOT (yet) implemented.
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+# pragma warning (disable : 4996) // POSIX name for this item is deprecated.
+# pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+#include <boost/math/tools/test.hpp>
+
+#include <boost/math/distributions/beta.hpp> // for beta_distribution
+using boost::math::beta_distribution;
+using boost::math::beta;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot(
+     RealType a,    // alpha a
+     RealType b,    // beta b
+     RealType x,    // Probability
+     RealType P,    // CDF of beta(a, b)
+     RealType Q,    // Complement of CDF
+     RealType tol)  // Test tolerance.
+{
+   boost::math::beta_distribution<RealType> abeta(a, b);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(abeta, x), P, tol);
+   if((P < 0.99) && (Q < 0.99))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee that Q is free of error,
+      // (and similarly for Q)
+      BOOST_CHECK_CLOSE_FRACTION(
+         cdf(complement(abeta, x)), Q, tol);
+      if(x != 0)
+      {
+         BOOST_CHECK_CLOSE_FRACTION(
+            quantile(abeta, P), x, tol);
+      }
+      else
+      {
+         // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+           && (boost::is_floating_point<RealType>::value))
+         {
+            // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(abeta, P) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      } // if k
+      if(x != 0)
+      {
+         BOOST_CHECK_CLOSE_FRACTION(quantile(complement(abeta, Q)), x, tol);
+      }
+      else
+      {  // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+         {  // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(complement(abeta, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      } // if x
+      // Estimate alpha & beta from mean and variance:
+
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_alpha(mean(abeta), variance(abeta)),
+         abeta.alpha(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_beta(mean(abeta), variance(abeta)),
+         abeta.beta(), tol);
+
+      // Estimate sample alpha and beta from others:
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_alpha(abeta.beta(), x, P),
+         abeta.alpha(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(
+         beta_distribution<RealType>::find_beta(abeta.alpha(), x, P),
+         abeta.beta(), tol);
+   } // if((P < 0.99) && (Q < 0.99)
+
+} // template <class RealType> void test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks with 'known good' values.
+  // MathCAD test data is to double precision only,
+  // so set tolerance to 100 eps expressed as a fraction, or
+  // 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon())); // 0 if real_concept.
+
+   cout << "Boost::math::tools::epsilon = " << boost::math::tools::epsilon<RealType>() <<endl;
+   cout << "std::numeric_limits::epsilon = " << std::numeric_limits<RealType>::epsilon() <<endl;
+   cout << "epsilon = " << tolerance;
+
+   tolerance *= 100000; // Note: NO * 100 because is fraction, NOT %.
+   cout  << ", Tolerance = " << tolerance * 100 << "%." << endl;
+
+  // RealType teneps = boost::math::tools::epsilon<RealType>() * 10;
+
+  // Sources of spot test values:
+
+  // MathCAD defines dbeta(x, s1, s2) pdf, s1 == alpha, s2 = beta, x = x in Wolfram
+  // pbeta(x, s1, s2) cdf and qbeta(x, s1, s2) inverse of cdf
+  // returns pr(X ,= x) when random variable X
+  // has the beta distribution with parameters s1)alpha) and s2(beta).
+  // s1 > 0 and s2 >0 and 0 < x < 1 (but allows x == 0! and x == 1!)
+  // dbeta(0,1,1) = 0
+  // dbeta(0.5,1,1) = 1
+
+  using boost::math::beta_distribution;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  // Tests that should throw:
+  BOOST_MATH_CHECK_THROW(mode(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1))), std::domain_error);
+  // mode is undefined, and throws domain_error!
+
+ // BOOST_MATH_CHECK_THROW(median(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1))), std::domain_error);
+  // median is undefined, and throws domain_error!
+  // But now median IS provided via derived accessor as quantile(half).
+
+
+  BOOST_MATH_CHECK_THROW( // For various bad arguments.
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(-1), static_cast<RealType>(1)), // bad alpha < 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(1)), // bad alpha == 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(0)), // bad beta == 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(-1)), // bad beta < 0.
+          static_cast<RealType>(1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)), // bad x < 0.
+          static_cast<RealType>(-1)), std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+       pdf(
+          beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)), // bad x > 1.
+          static_cast<RealType>(999)), std::domain_error);
+
+  // Some exact pdf values.
+
+  BOOST_CHECK_EQUAL( // a = b = 1 is uniform distribution.
+     pdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(1)),  // x
+     static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0)),  // x
+     static_cast<RealType>(1));
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0.5)),  // x
+     static_cast<RealType>(1),
+     tolerance);
+
+  BOOST_CHECK_EQUAL(
+     beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)).alpha(),
+     static_cast<RealType>(1) ); //
+
+  BOOST_CHECK_EQUAL(
+     mean(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1))),
+     static_cast<RealType>(0.5) ); // Exact one half.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.5)),  // x
+     static_cast<RealType>(1.5), // Exactly 3/2
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.5)),  // x
+     static_cast<RealType>(1.5), // Exactly 3/2
+      tolerance);
+
+  // CDF
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.02800000000000000000000000000000000000000L), // Seems exact.
+     // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized&ptype=0&z=0.1&a=2&b=2&digits=40
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.0001)),  // x
+     static_cast<RealType>(2.999800000000000000000000000000000000000e-8L),
+     // http://members.aol.com/iandjmsmith/BETAEX.HTM 2.9998000000004
+     // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized&ptype=0&z=0.0001&a=2&b=2&digits=40
+      tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.0001)),  // x
+     static_cast<RealType>(0.0005999400000000004L), // http://members.aol.com/iandjmsmith/BETAEX.HTM
+     // Slightly higher tolerance for real concept:
+     (std::numeric_limits<RealType>::is_specialized ? 1 : 10) * tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.9999)),  // x
+     static_cast<RealType>(0.999999970002L), // http://members.aol.com/iandjmsmith/BETAEX.HTM
+     // Wolfram 0.9999999700020000000000000000000000000000
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(2)),
+     static_cast<RealType>(0.9)),  // x
+     static_cast<RealType>(0.9961174629530394895796514664963063381217L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.2048327646991334516491978475505189480977L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.9)),  // x
+     static_cast<RealType>(0.7951672353008665483508021524494810519023L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.7951672353008665483508021524494810519023L)),  // x
+     static_cast<RealType>(0.9),
+     // Wolfram
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.6)),  // x
+     static_cast<RealType>(0.5640942168489749316118742861695149357858L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.5640942168489749316118742861695149357858L)),  // x
+     static_cast<RealType>(0.6),
+     // Wolfram
+      tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.6)),  // x
+     static_cast<RealType>(0.1778078083562213736802876784474931812329L),
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.1778078083562213736802876784474931812329L)),  // x
+     static_cast<RealType>(0.6),
+     // Wolfram
+      tolerance); // gives
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.1),  // 0.1000000000000000000000000000000000000000
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+     static_cast<RealType>(0.1)),  // x
+     static_cast<RealType>(0.1),  // 0.1000000000000000000000000000000000000000
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(beta_distribution<RealType>(static_cast<RealType>(0.5), static_cast<RealType>(0.5)),
+     static_cast<RealType>(0.1))),  // complement of x
+     static_cast<RealType>(0.7951672353008665483508021524494810519023L),
+     // Wolfram
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(
+     quantile(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.0280000000000000000000000000000000000L)),  // x
+     static_cast<RealType>(0.1),
+     // Wolfram
+      tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.1))),  // x
+     static_cast<RealType>(0.9720000000000000000000000000000000000000L), // Exact.
+     // Wolfram
+      tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+     pdf(beta_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(2)),
+     static_cast<RealType>(0.9999)),  // x
+     static_cast<RealType>(0.0005999399999999344L), // http://members.aol.com/iandjmsmith/BETAEX.HTM
+      tolerance*10); // Note loss of precision calculating 1-p test value.
+
+  //void test_spot(
+  //   RealType a,    // alpha a
+  //   RealType b,    // beta b
+  //   RealType x,    // Probability
+  //   RealType P,    // CDF of beta(a, b)
+  //   RealType Q,    // Complement of CDF
+  //   RealType tol)  // Test tolerance.
+
+   // These test quantiles and complements, and parameter estimates as well.
+  // Spot values using, for example:
+  // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized&ptype=0&z=0.1&a=0.5&b=3&digits=40
+
+  test_spot(
+     static_cast<RealType>(1),   // alpha a
+     static_cast<RealType>(1),   // beta b
+     static_cast<RealType>(0.1), // Probability  p
+     static_cast<RealType>(0.1), // Probability of result (CDF of beta), P
+     static_cast<RealType>(0.9),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.1), // Probability  p
+     static_cast<RealType>(0.0280000000000000000000000000000000000L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1 - 0.0280000000000000000000000000000000000L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.5), // Probability  p
+     static_cast<RealType>(0.5), // Probability of result (CDF of beta), P
+     static_cast<RealType>(0.5),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.9), // Probability  p
+     static_cast<RealType>(0.972000000000000), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.972000000000000),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.01), // Probability  p
+     static_cast<RealType>(0.0002980000000000000000000000000000000000000L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.0002980000000000000000000000000000000000000L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.001), // Probability  p
+     static_cast<RealType>(2.998000000000000000000000000000000000000E-6L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-2.998000000000000000000000000000000000000E-6L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.0001), // Probability  p
+     static_cast<RealType>(2.999800000000000000000000000000000000000E-8L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-2.999800000000000000000000000000000000000E-8L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(2),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.99), // Probability  p
+     static_cast<RealType>(0.9997020000000000000000000000000000000000L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.9997020000000000000000000000000000000000L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(0.5),   // alpha a
+     static_cast<RealType>(2),   // beta b
+     static_cast<RealType>(0.5), // Probability  p
+     static_cast<RealType>(0.8838834764831844055010554526310612991060L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.8838834764831844055010554526310612991060L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(0.5),   // alpha a
+     static_cast<RealType>(3.),   // beta b
+     static_cast<RealType>(0.7), // Probability  p
+     static_cast<RealType>(0.9903963064097119299191611355232156905687L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.9903963064097119299191611355232156905687L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+  test_spot(
+     static_cast<RealType>(0.5),   // alpha a
+     static_cast<RealType>(3.),   // beta b
+     static_cast<RealType>(0.1), // Probability  p
+     static_cast<RealType>(0.5545844446520295253493059553548880128511L), // Probability of result (CDF of beta), P
+     static_cast<RealType>(1-0.5545844446520295253493059553548880128511L),  // Complement of CDF Q = 1 - P
+     tolerance); // Test tolerance.
+
+    //
+   // Error checks:
+   // Construction with 'bad' parameters.
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(-1, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(0, 1), std::domain_error);
+
+   beta_distribution<> dist;
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+
+ // No longer allow any parameter to be NaN or inf, so all these tests should throw.
+   if (std::numeric_limits<RealType>::has_quiet_NaN)
+   { 
+    // Attempt to construct from non-finite should throw.
+     RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(nan), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(1, nan), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(nan), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, nan), std::domain_error);
+#endif
+     
+    // Non-finite parameters should throw.
+     beta_distribution<RealType> w(RealType(1)); 
+     BOOST_MATH_CHECK_THROW(pdf(w, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(w, +nan), std::domain_error); // x = NaN
+     BOOST_MATH_CHECK_THROW(cdf(complement(w, +nan)), std::domain_error); // x = + nan
+     BOOST_MATH_CHECK_THROW(quantile(w, +nan), std::domain_error); // p = + nan
+     BOOST_MATH_CHECK_THROW(quantile(complement(w, +nan)), std::domain_error); // p = + nan
+  } // has_quiet_NaN
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+     // Attempt to construct from non-finite should throw.
+     RealType inf = std::numeric_limits<RealType>::infinity(); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(1, inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, inf), std::domain_error);
+#endif
+
+    // Non-finite parameters should throw.
+     beta_distribution<RealType> w(RealType(1)); 
+#ifndef BOOST_NO_EXCEPTIONS
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType> w(1, inf), std::domain_error);
+#else
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(inf), std::domain_error);
+     BOOST_MATH_CHECK_THROW(beta_distribution<RealType>(1, inf), std::domain_error);
+#endif
+     BOOST_MATH_CHECK_THROW(pdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(w, +inf), std::domain_error); // x = inf
+     BOOST_MATH_CHECK_THROW(cdf(complement(w, +inf)), std::domain_error); // x = + inf
+     BOOST_MATH_CHECK_THROW(quantile(w, +inf), std::domain_error); // p = + inf
+     BOOST_MATH_CHECK_THROW(quantile(complement(w, +inf)), std::domain_error); // p = + inf
+   } // has_infinity
+
+   // Error handling checks:
+   check_out_of_range<boost::math::beta_distribution<RealType> >(1, 1); // (All) valid constructor parameter values.
+   // and range and non-finite.
+
+   // Not needed??????
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::beta_distribution<RealType>(0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::beta_distribution<RealType>(-1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::beta_distribution<RealType>(1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::beta_distribution<RealType>(1, 1), 2), std::domain_error);
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Check that can generate beta distribution using one convenience methods:
+   beta_distribution<> mybeta11(1., 1.); // Using default RealType double.
+   // but that
+   // boost::math::beta mybeta1(1., 1.); // Using typedef fails.
+   // error C2039: 'beta' : is not a member of 'boost::math'
+
+   // Basic sanity-check spot values.
+
+   // Some simple checks using double only.
+   BOOST_CHECK_EQUAL(mybeta11.alpha(), 1); //
+   BOOST_CHECK_EQUAL(mybeta11.beta(), 1);
+   BOOST_CHECK_EQUAL(mean(mybeta11), 0.5); // 1 / (1 + 1) = 1/2 exactly
+   BOOST_MATH_CHECK_THROW(mode(mybeta11), std::domain_error);
+   beta_distribution<> mybeta22(2., 2.); // pdf is dome shape.
+   BOOST_CHECK_EQUAL(mode(mybeta22), 0.5); // 2-1 / (2+2-2) = 1/2 exactly.
+   beta_distribution<> mybetaH2(0.5, 2.); //
+   beta_distribution<> mybetaH3(0.5, 3.); //
+
+   // Check a few values using double.
+   BOOST_CHECK_EQUAL(pdf(mybeta11, 1), 1); // is uniform unity over 0 to 1,
+   BOOST_CHECK_EQUAL(pdf(mybeta11, 0), 1); // including zero and unity.
+   // Although these next three have an exact result, internally they're
+   // *not* treated as special cases, and may be out by a couple of eps:
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta11, 0.5), 1.0, 5*std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta11, 0.0001), 1.0, 5*std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta11, 0.9999), 1.0, 5*std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta11, 0.1), 0.1, 2 * std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta11, 0.5), 0.5, 2 * std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta11, 0.9), 0.9, 2 * std::numeric_limits<double>::epsilon());
+   BOOST_CHECK_EQUAL(cdf(mybeta11, 1), 1.); // Exact unity expected.
+
+   double tol = std::numeric_limits<double>::epsilon() * 10;
+   BOOST_CHECK_EQUAL(pdf(mybeta22, 1), 0); // is dome shape.
+   BOOST_CHECK_EQUAL(pdf(mybeta22, 0), 0);
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta22, 0.5), 1.5, tol); // top of dome, expect exactly 3/2.
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta22, 0.0001), 5.9994000000000E-4, tol);
+   BOOST_CHECK_CLOSE_FRACTION(pdf(mybeta22, 0.9999), 5.9994000000000E-4, tol*50);
+
+   BOOST_CHECK_EQUAL(cdf(mybeta22, 0.), 0); // cdf is a curved line from 0 to 1.
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.1), 0.028000000000000, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.5), 0.5, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.9), 0.972000000000000, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.0001), 2.999800000000000000000000000000000000000E-8, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.001), 2.998000000000000000000000000000000000000E-6, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.01), 0.0002980000000000000000000000000000000000000, tol);
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.1), 0.02800000000000000000000000000000000000000, tol); // exact
+   BOOST_CHECK_CLOSE_FRACTION(cdf(mybeta22, 0.99), 0.9997020000000000000000000000000000000000, tol);
+
+   BOOST_CHECK_EQUAL(cdf(mybeta22, 1), 1.); // Exact unity expected.
+
+   // Complement
+
+   BOOST_CHECK_CLOSE_FRACTION(cdf(complement(mybeta22, 0.9)), 0.028000000000000, tol);
+
+   // quantile.
+   BOOST_CHECK_CLOSE_FRACTION(quantile(mybeta22, 0.028), 0.1, tol);
+   BOOST_CHECK_CLOSE_FRACTION(quantile(complement(mybeta22, 1 - 0.028)), 0.1, tol);
+   BOOST_CHECK_EQUAL(kurtosis(mybeta11), 3+ kurtosis_excess(mybeta11)); // Check kurtosis_excess = kurtosis - 3;
+   BOOST_CHECK_CLOSE_FRACTION(variance(mybeta22), 0.05, tol);
+   BOOST_CHECK_CLOSE_FRACTION(mean(mybeta22), 0.5, tol);
+   BOOST_CHECK_CLOSE_FRACTION(mode(mybeta22), 0.5, tol);
+   BOOST_CHECK_CLOSE_FRACTION(median(mybeta22), 0.5, sqrt(tol)); // Theoretical maximum accuracy using Brent is sqrt(epsilon).
+
+   BOOST_CHECK_CLOSE_FRACTION(skewness(mybeta22), 0.0, tol);
+   BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(mybeta22), -144.0 / 168, tol);
+   BOOST_CHECK_CLOSE_FRACTION(skewness(beta_distribution<>(3, 5)), 0.30983866769659335081434123198259, tol);
+
+   BOOST_CHECK_CLOSE_FRACTION(beta_distribution<double>::find_alpha(mean(mybeta22), variance(mybeta22)), mybeta22.alpha(), tol); // mean, variance, probability.
+   BOOST_CHECK_CLOSE_FRACTION(beta_distribution<double>::find_beta(mean(mybeta22), variance(mybeta22)), mybeta22.beta(), tol);// mean, variance, probability.
+
+   BOOST_CHECK_CLOSE_FRACTION(mybeta22.find_alpha(mybeta22.beta(), 0.8, cdf(mybeta22, 0.8)), mybeta22.alpha(), tol);
+   BOOST_CHECK_CLOSE_FRACTION(mybeta22.find_beta(mybeta22.alpha(), 0.8, cdf(mybeta22, 0.8)), mybeta22.beta(), tol);
+
+
+   beta_distribution<real_concept> rcbeta22(2, 2); // Using RealType real_concept.
+   cout << "numeric_limits<real_concept>::is_specialized " << numeric_limits<real_concept>::is_specialized << endl;
+   cout << "numeric_limits<real_concept>::digits " << numeric_limits<real_concept>::digits << endl;
+   cout << "numeric_limits<real_concept>::digits10 " << numeric_limits<real_concept>::digits10 << endl;
+   cout << "numeric_limits<real_concept>::epsilon " << numeric_limits<real_concept>::epsilon() << endl;
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F); // Test float.
+   test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+-Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_beta_dist.exe"
+Running 1 test case...
+numeric_limits<real_concept>::is_specialized 0
+numeric_limits<real_concept>::digits 0
+numeric_limits<real_concept>::digits10 0
+numeric_limits<real_concept>::epsilon 0
+Boost::math::tools::epsilon = 1.19209e-007
+std::numeric_limits::epsilon = 1.19209e-007
+epsilon = 1.19209e-007, Tolerance = 0.0119209%.
+Boost::math::tools::epsilon = 2.22045e-016
+std::numeric_limits::epsilon = 2.22045e-016
+epsilon = 2.22045e-016, Tolerance = 2.22045e-011%.
+Boost::math::tools::epsilon = 2.22045e-016
+std::numeric_limits::epsilon = 2.22045e-016
+epsilon = 2.22045e-016, Tolerance = 2.22045e-011%.
+Boost::math::tools::epsilon = 2.22045e-016
+std::numeric_limits::epsilon = 0
+epsilon = 2.22045e-016, Tolerance = 2.22045e-011%.
+*** No errors detected
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_beta_hooks.hpp b/src/boost/libs/math/test/test_beta_hooks.hpp
new file mode 100644
index 000000000..4f512cd53
--- /dev/null
+++ b/src/boost/libs/math/test/test_beta_hooks.hpp
@@ -0,0 +1,122 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_BETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_BETA_OTHER_HOOKS_HPP
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double beta(double, double);
+   float betaf(float, float);
+   long double betal(long double, long double);
+
+   double incbet(double, double, double);
+   float incbetf(float, float, float);
+   long double incbetl(long double, long double, long double);
+}
+inline float beta(float a, float b)
+{ return betaf(a, b); }
+inline long double beta(long double a, long double b)
+{
+#ifdef BOOST_MSVC
+   return beta((double)a, (double)b); 
+#else
+   return betal(a, b); 
+#endif
+}
+inline float ibeta(float a, float b, float x)
+{ return incbetf(a, b, x); }
+inline double ibeta(double a, double b, double x)
+{ return incbet(a, b, x); }
+inline long double ibeta(long double a, long double b, long double x)
+{
+#ifdef BOOST_MSVC
+   return incbet((double)a, (double)b, (double)x); 
+#else
+   return incbetl(a, b); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_gamma.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_message.h>
+
+namespace other{
+inline float beta(float a, float b)
+{ return (float)gsl_sf_beta(a, b); }
+inline double beta(double a, double b)
+{ return gsl_sf_beta(a, b); }
+inline long double beta(long double a, long double b)
+{ return gsl_sf_beta(a, b); }
+
+inline float ibeta(float a, float b, float x)
+{ return (float)gsl_sf_beta_inc(a, b, x); }
+inline double ibeta(double a, double b, double x)
+{ return gsl_sf_beta_inc(a, b, x); }
+inline long double ibeta(long double a, long double b, long double x)
+{
+   return gsl_sf_beta_inc((double)a, (double)b, (double)x); 
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_BRATIO
+namespace other{
+extern "C" int bratio_(double*a, double*b, double*x, double*y, double*w, double*w1, int*ierr);
+
+inline float ibeta(float a, float b, float x)
+{
+   double a_ = a;
+   double b_ = b;
+   double x_ = x;
+   double y_ = 1-x_;
+   double w, w1;
+   int ierr = 0;
+   bratio_(&a_, &b_, &x_, &y_, &w, &w1, &ierr); 
+   return w;
+}
+inline double ibeta(double a, double b, double x)
+{ 
+   double a_ = a;
+   double b_ = b;
+   double x_ = x;
+   double y_ = 1-x_;
+   double w, w1;
+   int ierr = 0;
+   bratio_(&a_, &b_, &x_, &y_, &w, &w1, &ierr); 
+   return w;
+}
+inline long double ibeta(long double a, long double b, long double x)
+{
+   double a_ = a;
+   double b_ = b;
+   double x_ = x;
+   double y_ = 1-x_;
+   double w, w1;
+   int ierr = 0;
+   bratio_(&a_, &b_, &x_, &y_, &w, &w1, &ierr); 
+   return w;
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept beta(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept ibeta(boost::math::concepts::real_concept, boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_binomial.cpp b/src/boost/libs/math/test/test_binomial.cpp
new file mode 100644
index 000000000..fa50da7f5
--- /dev/null
+++ b/src/boost/libs/math/test/test_binomial.cpp
@@ -0,0 +1,774 @@
+// test_binomial.cpp
+
+// Copyright John Maddock 2006.
+// Copyright  Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for Binomial Cumulative Distribution Function.
+
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+// Seems an entirely spurious warning - formal parameter T IS used - get error if /* T */
+//#  pragma warning(disable: 4535) // calling _set_se_translator() requires /EHa (in Boost.test)
+// Enable C++ Exceptions Yes With SEH Exceptions (/EHa) prevents warning 4535.
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/binomial.hpp> // for binomial_distribution
+using boost::math::binomial_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "table_type.hpp"
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot(
+     RealType N,    // Number of trials
+     RealType k,    // Number of successes
+     RealType p,    // Probability of success
+     RealType P,    // CDF
+     RealType Q,    // Complement of CDF
+     RealType tol)  // Test tolerance
+{
+   boost::math::binomial_distribution<RealType> bn(N, p);
+   BOOST_CHECK_CLOSE(
+      cdf(bn, k), P, tol);
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(bn, k)), Q, tol);
+      if(k != 0)
+      {
+         BOOST_CHECK_CLOSE(
+            quantile(bn, P), k, tol);
+      }
+      else
+      {
+         // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+         {
+            // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(bn, P) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      }
+      if(k != 0)
+      {
+         BOOST_CHECK_CLOSE(
+            quantile(complement(bn, Q)), k, tol);
+      }
+      else
+      {
+         // Just check quantile is very small:
+         if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent) && (boost::is_floating_point<RealType>::value))
+         {
+            // Limit where this is checked: if exponent range is very large we may
+            // run out of iterations in our root finding algorithm.
+            BOOST_CHECK(quantile(complement(bn, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+         }
+      }
+      if(k > 0)
+      {
+         // estimate success ratio:
+         // Note lower bound uses a different formula internally
+         // from upper bound, have to adjust things to prevent
+         // fencepost errors:
+         BOOST_CHECK_CLOSE(
+            binomial_distribution<RealType>::find_lower_bound_on_p(
+               N, k+1, Q),
+            p, tol);
+         BOOST_CHECK_CLOSE(
+            binomial_distribution<RealType>::find_upper_bound_on_p(
+               N, k, P),
+            p, tol);
+
+         if(Q < P)
+         {
+            // Default method (Clopper Pearson)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, Q)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q)
+                  );
+            BOOST_CHECK((
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, Q)
+                  <= k/N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q))
+                  );
+            // Bayes Method (Jeffreys Prior)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+               N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  );
+            BOOST_CHECK((
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <= k/N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, Q, binomial_distribution<RealType>::jeffreys_prior_interval))
+                  );
+         }
+         else
+         {
+            // Default method (Clopper Pearson)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P)
+                  );
+            BOOST_CHECK(
+               (binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P)
+                  <= k / N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P))
+                  );
+            // Bayes Method (Jeffreys Prior)
+            BOOST_CHECK(
+               binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  );
+            BOOST_CHECK(
+               (binomial_distribution<RealType>::find_lower_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval)
+                  <= k / N) && (k/N <=
+               binomial_distribution<RealType>::find_upper_bound_on_p(
+                  N, k, P, binomial_distribution<RealType>::jeffreys_prior_interval))
+                  );
+         }
+      }
+      //
+      // estimate sample size:
+      //
+      BOOST_CHECK_CLOSE(
+         binomial_distribution<RealType>::find_minimum_number_of_trials(
+            k, p, P),
+         N, tol);
+      BOOST_CHECK_CLOSE(
+         binomial_distribution<RealType>::find_maximum_number_of_trials(
+            k, p, Q),
+         N, tol);
+   }
+
+   // Double check consistency of CDF and PDF by computing
+   // the finite sum:
+   RealType sum = 0;
+   for(unsigned i = 0; i <= k; ++i)
+      sum += pdf(bn, RealType(i));
+   BOOST_CHECK_CLOSE(
+      sum, P, tol);
+   // And complement as well:
+   sum = 0;
+   for(RealType i = N; i > k; i -= 1)
+      sum += pdf(bn, i);
+   if(P < 0.99)
+   {
+      BOOST_CHECK_CLOSE(
+         sum, Q, tol);
+   }
+   else
+   {
+      // Not enough information content in P for Q to be meaningful
+      RealType tol = (std::max)(2 * Q, boost::math::tools::epsilon<RealType>());
+      BOOST_CHECK(sum < tol);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType T)
+{
+  // Basic sanity checks, test data is to double precision only
+  // so set tolerance to 100eps expressed as a percent, or
+  // 100eps of type double expressed as a percent, whichever
+  // is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+  tolerance *= 100 * 1000;
+  RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100;  // 5 eps as a percent
+
+  cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+
+  // Sources of spot test values:
+
+  // MathCAD defines pbinom(k, n, p)
+  // returns pr(X ,=k) when random variable X has the binomial distribution with parameters n and p.
+  // 0 <= k ,= n
+  // 0 <= p <= 1
+  // P = pbinom(30, 500, 0.05) = 0.869147702104609
+
+  using boost::math::binomial_distribution;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 0)
+  // Test binomial using cdf spot values from MathCAD.
+  // These test quantiles and complements as well.
+  test_spot(
+     static_cast<RealType>(500),                     // Sample size, N
+     static_cast<RealType>(30),                      // Number of successes, k
+     static_cast<RealType>(0.05),                    // Probability of success, p
+     static_cast<RealType>(0.869147702104609),       // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.869147702104609),   // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                     // Sample size, N
+     static_cast<RealType>(250),                     // Number of successes, k
+     static_cast<RealType>(0.05),                    // Probability of success, p
+     static_cast<RealType>(1),                       // Probability of result (CDF), P
+     static_cast<RealType>(0),   // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                     // Sample size, N
+     static_cast<RealType>(470),                     // Number of successes, k
+     static_cast<RealType>(0.95),                    // Probability of success, p
+     static_cast<RealType>(0.176470742656766),       // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.176470742656766),   // Q = 1 - P
+     tolerance * 10);                                // Note higher tolerance on this test!
+
+  test_spot(
+     static_cast<RealType>(500),                       // Sample size, N
+     static_cast<RealType>(400),                       // Number of successes, k
+     static_cast<RealType>(0.05),                      // Probability of success, p
+     static_cast<RealType>(1),                         // Probability of result (CDF), P
+     static_cast<RealType>(0),                         // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                       // Sample size, N
+     static_cast<RealType>(400),                       // Number of successes, k
+     static_cast<RealType>(0.9),                       // Probability of success, p
+     static_cast<RealType>(1.80180425681923E-11),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 1.80180425681923E-11),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(500),                       // Sample size, N
+     static_cast<RealType>(5),                         // Number of successes, k
+     static_cast<RealType>(0.05),                      // Probability of success, p
+     static_cast<RealType>(9.181808267643E-7),         // Probability of result (CDF), P
+     static_cast<RealType>(1 - 9.181808267643E-7),     // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(2),                       // Sample size, N
+     static_cast<RealType>(1),                       // Number of successes, k
+     static_cast<RealType>(0.5),                     // Probability of success, p
+     static_cast<RealType>(0.75),                    // Probability of result (CDF), P
+     static_cast<RealType>(0.25),                    // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(3),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.8861846923828125),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.8861846923828125),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(0),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.1001129150390625),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.1001129150390625),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(1),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.36708068847656244),     // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.36708068847656244), // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(4),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.9727020263671875),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.9727020263671875),  // Q = 1 - P
+     tolerance);
+
+  test_spot(
+     static_cast<RealType>(8),                       // Sample size, N
+     static_cast<RealType>(7),                       // Number of successes, k
+     static_cast<RealType>(0.25),                    // Probability of success, p
+     static_cast<RealType>(0.9999847412109375),      // Probability of result (CDF), P
+     static_cast<RealType>(1 - 0.9999847412109375),  // Q = 1 - P
+     tolerance);
+
+  // Tests on PDF follow:
+  BOOST_CHECK_CLOSE(
+     pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.75)),
+     static_cast<RealType>(10)),  // k.
+     static_cast<RealType>(0.00992227527967770583927631378173), // 0.00992227527967770583927631378173
+     tolerance);
+
+  BOOST_CHECK_CLOSE(
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.5)),
+    static_cast<RealType>(10)),  // k.
+    static_cast<RealType>(0.17619705200195312500000000000000000000), // get k=10 0.049611376398388612 p = 0.25
+    tolerance);
+
+  // Binomial pdf Test values from
+  // http://www.adsciengineering.com/bpdcalc/index.php  for example
+  // http://www.adsciengineering.com/bpdcalc/index.php?n=20&p=0.25&start=0&stop=20&Submit=Generate
+  // Appears to use at least 80-bit long double for 32 decimal digits accuracy,
+  // but loses accuracy of display if leading zeros?
+  // (if trailings zero then are exact values?)
+  // so useful for testing 64-bit double accuracy.
+  // P = 0.25, n = 20, k = 0 to 20
+
+  //0   C(20,0) * 0.25^0 * 0.75^20   0.00317121193893399322405457496643
+  //1   C(20,1) * 0.25^1 * 0.75^19   0.02114141292622662149369716644287
+  //2   C(20,2) * 0.25^2 * 0.75^18   0.06694780759971763473004102706909
+  //3   C(20,3) * 0.25^3 * 0.75^17   0.13389561519943526946008205413818
+  //4   C(20,4) * 0.25^4 * 0.75^16   0.18968545486586663173511624336242
+  //5   C(20,5) * 0.25^5 * 0.75^15   0.20233115185692440718412399291992
+  //6   C(20,6) * 0.25^6 * 0.75^14   0.16860929321410367265343666076660
+  //7   C(20,7) * 0.25^7 * 0.75^13   0.11240619547606911510229110717773
+  //8   C(20,8) * 0.25^8 * 0.75^12   0.06088668921620410401374101638793
+  //9   C(20,9) * 0.25^9 * 0.75^11   0.02706075076275737956166267395019
+  //10   C(20,10) * 0.25^10 * 0.75^10   0.00992227527967770583927631378173
+  //11   C(20,11) * 0.25^11 * 0.75^9   0.00300675008475081995129585266113
+  //12   C(20,12) * 0.25^12 * 0.75^8   0.00075168752118770498782396316528
+  //13   C(20,13) * 0.25^13 * 0.75^7   0.00015419231203850358724594116210
+  //14   C(20,14) * 0.25^14 * 0.75^6   0.00002569871867308393120765686035
+  //15   C(20,15) * 0.25^15 * 0.75^5   0.00000342649582307785749435424804
+  //16   C(20,16) * 0.25^16 * 0.75^4   0.00000035692664823727682232856750
+  //17   C(20,17) * 0.25^17 * 0.75^3   0.00000002799424692057073116302490
+  //18   C(20,18) * 0.25^18 * 0.75^2   0.00000000155523594003170728683471
+  //19   C(20,19) * 0.25^19 * 0.75^1   0.00000000005456968210637569427490
+  //20   C(20,20) * 0.25^20 * 0.75^0   0.00000000000090949470177292823791
+
+
+    BOOST_CHECK_CLOSE(
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(10)),  // k.
+    static_cast<RealType>(0.00992227527967770583927631378173), // k=10  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 0 use different formula - only exp so more accurate.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0)),  // k.
+    static_cast<RealType>(0.00317121193893399322405457496643), // k=0  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 20 use different formula - only exp so more accurate.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(20)),  // k == n.
+    static_cast<RealType>(0.00000000000090949470177292823791), // k=20  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 1.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),  // k.
+    static_cast<RealType>(0.02114141292622662149369716644287), // k=1  p = 0.25
+    tolerance);
+
+    // Some exact (probably) values.
+    BOOST_CHECK_CLOSE(
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0)),  // k.
+    static_cast<RealType>(0.10011291503906250000000000000000), // k=0  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 1.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),  // k.
+    static_cast<RealType>(0.26696777343750000000000000000000), // k=1  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 2.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(2)),  // k.
+    static_cast<RealType>(0.31146240234375000000000000000000), // k=2  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 3.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(3)),  // k.
+    static_cast<RealType>(0.20764160156250000000000000000000), // k=3  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 7.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(7)),  // k.
+    static_cast<RealType>(0.00036621093750000000000000000000), // k=7  p = 0.25
+    tolerance);
+
+    BOOST_CHECK_CLOSE( // k = 8.
+    pdf(binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(8)),  // k = n.
+    static_cast<RealType>(0.00001525878906250000000000000000), // k=8  p = 0.25
+    tolerance);
+
+    binomial_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(0.25));
+    RealType x = static_cast<RealType>(0.125);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8 * 0.25), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(8 * 0.25 * 0.75), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(sqrt(8 * 0.25L * 0.75L)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(std::floor(9 * 0.25)), tol2);
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0.40824829046386301636621401245098L), (std::max)(tol2, static_cast<RealType>(5e-29))); // test data has 32 digits only.
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(2.916666666666666666666666666666666666L), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(-0.08333333333333333333333333333333333333L), tol2);
+    // Check kurtosis_excess == kurtosis -3;
+      BOOST_CHECK_EQUAL(kurtosis(dist), static_cast<RealType>(3) + kurtosis_excess(dist));
+
+    // special cases for PDF:
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+          static_cast<RealType>(0)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+          static_cast<RealType>(0.0001)), static_cast<RealType>(0)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+          static_cast<RealType>(0.001)), static_cast<RealType>(0)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+          static_cast<RealType>(8)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(0), static_cast<RealType>(0.25)),
+          static_cast<RealType>(0)), static_cast<RealType>(1)
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(-1), static_cast<RealType>(0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(9)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(9)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+          static_cast<RealType>(0)), std::domain_error
+       );
+
+    BOOST_CHECK_EQUAL(
+       quantile(
+          binomial_distribution<RealType>(static_cast<RealType>(16), static_cast<RealType>(0.25)),
+          static_cast<RealType>(0.01)), // Less than cdf == pdf(binomial_distribution<RealType>(16, 0.25), 0)
+          static_cast<RealType>(0) // so expect zero as best approximation.
+       );
+
+    BOOST_CHECK_EQUAL(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+          static_cast<RealType>(8)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+          static_cast<RealType>(7)), static_cast<RealType>(1)
+       );
+    BOOST_CHECK_EQUAL(
+       cdf(
+          binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+          static_cast<RealType>(7)), static_cast<RealType>(0)
+       );
+
+#endif
+
+  {
+    // This is a visual sanity check that everything is OK:
+    binomial_distribution<RealType> my8dist(8., 0.25); // Note: double values (matching the distribution definition) avoid the need for any casting.
+    //cout << "mean(my8dist) = " << boost::math::mean(my8dist) << endl; // mean(my8dist) = 2
+    //cout << "my8dist.trials() = " << my8dist.trials()  << endl; // my8dist.trials() = 8
+    //cout << "my8dist.success_fraction() = " << my8dist.success_fraction()  << endl; // my8dist.success_fraction() = 0.25
+    BOOST_CHECK_CLOSE(my8dist.trials(), static_cast<RealType>(8), tol2);
+    BOOST_CHECK_CLOSE(my8dist.success_fraction(), static_cast<RealType>(0.25), tol2);
+
+   //{
+   //   int n = static_cast<int>(boost::math::tools::real_cast<double>(my8dist.trials()));
+   //   RealType sumcdf = 0.;
+   //   for (int k = 0; k <= n; k++)
+   //   {
+   //     cout << k << ' ' << pdf(my8dist, static_cast<RealType>(k));
+   //     sumcdf += pdf(my8dist, static_cast<RealType>(k));
+   //     cout  << ' '  << sumcdf;
+   //     cout << ' ' << cdf(my8dist, static_cast<RealType>(k));
+   //     cout << ' ' << sumcdf - cdf(my8dist, static_cast<RealType>(k)) << endl;
+   //   } // for k
+   // }
+    // n = 8, p =0.25
+    //k         pdf              cdf
+    //0 0.1001129150390625 0.1001129150390625
+    //1 0.26696777343749994 0.36708068847656244
+    //2 0.31146240234375017 0.67854309082031261
+    //3 0.20764160156249989 0.8861846923828125
+    //4 0.086517333984375 0.9727020263671875
+    //5 0.023071289062499997 0.9957733154296875
+    //6 0.0038452148437500009 0.9996185302734375
+    //7 0.00036621093749999984 0.9999847412109375
+    //8 1.52587890625e-005 1 1 0
+  }
+#define T RealType
+#include "binomial_quantile.ipp"
+
+  for(unsigned i = 0; i < binomial_quantile_data.size(); ++i)
+  {
+     using namespace boost::math::policies;
+     RealType tol = boost::math::tools::epsilon<RealType>() * 500;
+     if(!boost::is_floating_point<RealType>::value)
+        tol *= 10;  // no lanczos approximation implies less accuracy
+     RealType x;
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 1)
+     //
+     // Check full real value first:
+     //
+     typedef policy<discrete_quantile<boost::math::policies::real> > P1;
+     binomial_distribution<RealType, P1> p1(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p1, binomial_quantile_data[i][2]);
+     BOOST_CHECK_CLOSE_FRACTION(x, (RealType)binomial_quantile_data[i][3], tol);
+     x = quantile(complement(p1, (RealType)binomial_quantile_data[i][2]));
+     BOOST_CHECK_CLOSE_FRACTION(x, (RealType)binomial_quantile_data[i][4], tol);
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 2)
+     //
+     // Now with round down to integer:
+     //
+     typedef policy<discrete_quantile<integer_round_down> > P2;
+     binomial_distribution<RealType, P2> p2(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p2, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)floor(binomial_quantile_data[i][3]));
+     x = quantile(complement(p2, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)floor(binomial_quantile_data[i][4]));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 3)
+     //
+     // Now with round up to integer:
+     //
+     typedef policy<discrete_quantile<integer_round_up> > P3;
+     binomial_distribution<RealType, P3> p3(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p3, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)ceil(binomial_quantile_data[i][3]));
+     x = quantile(complement(p3, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)ceil(binomial_quantile_data[i][4]));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 4)
+     //
+     // Now with round to integer "outside":
+     //
+     typedef policy<discrete_quantile<integer_round_outwards> > P4;
+     binomial_distribution<RealType, P4> p4(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p4, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? floor(binomial_quantile_data[i][3]) : ceil(binomial_quantile_data[i][3])));
+     x = quantile(complement(p4, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? ceil(binomial_quantile_data[i][4]) : floor(binomial_quantile_data[i][4])));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 5)
+     //
+     // Now with round to integer "inside":
+     //
+     typedef policy<discrete_quantile<integer_round_inwards> > P5;
+     binomial_distribution<RealType, P5> p5(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p5, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? ceil(binomial_quantile_data[i][3]) : floor(binomial_quantile_data[i][3])));
+     x = quantile(complement(p5, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)(binomial_quantile_data[i][2] < 0.5f ? floor(binomial_quantile_data[i][4]) : ceil(binomial_quantile_data[i][4])));
+#endif
+#if !defined(TEST_ROUNDING) || (TEST_ROUNDING == 6)
+     //
+     // Now with round to nearest integer:
+     //
+     typedef policy<discrete_quantile<integer_round_nearest> > P6;
+     binomial_distribution<RealType, P6> p6(binomial_quantile_data[i][0], binomial_quantile_data[i][1]);
+     x = quantile(p6, binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, (RealType)(floor(binomial_quantile_data[i][3] + 0.5f)));
+     x = quantile(complement(p6, binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, (RealType)(floor(binomial_quantile_data[i][4] + 0.5f)));
+#endif
+  }
+
+   check_out_of_range<boost::math::binomial_distribution<RealType> >(1, 1); // (All) valid constructor parameter values.
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Check that can generate binomial distribution using one convenience methods:
+   binomial_distribution<> mybn2(1., 0.5); // Using default RealType double.
+  // but that
+   // boost::math::binomial mybn1(1., 0.5); // Using typedef fails
+  // error C2039: 'binomial' : is not a member of 'boost::math'
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+  test_spots(0.0L); // Test long double.
+#endif
+#if !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS)
+#ifdef TEST_REAL_CONCEPT
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_binomial.exe"
+  Running 1 test case...
+  Tolerance for type float is 0.0119209 %
+  Tolerance for type double is 2.22045e-011 %
+  Tolerance for type long double is 2.22045e-011 %
+  Tolerance for type class boost::math::concepts::real_concept is 2.22045e-011 %
+
+  *** No errors detected
+
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
diff --git a/src/boost/libs/math/test/test_binomial_coeff.cpp b/src/boost/libs/math/test/test_binomial_coeff.cpp
new file mode 100644
index 000000000..4d840738a
--- /dev/null
+++ b/src/boost/libs/math/test/test_binomial_coeff.cpp
@@ -0,0 +1,142 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp> 
+#include "test_binomial_coeff.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the function binomial_coefficient<T>.  
+// The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these function.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 100, 20);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*large.*",                   // test data group
+      ".*", 250, 100);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 150, 30);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 1);                   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test_spots(T, const char* name)
+{
+   T tolerance = boost::math::tools::epsilon<T>() * 50 * 100;  // 50 eps as a percentage
+   if(!std::numeric_limits<T>::is_specialized)
+      tolerance *= 10;  // beta function not so accurate without lanczos support
+
+   std::cout << "Testing spot checks for type " << name << " with tolerance " << tolerance << "%\n";
+
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 0), static_cast<T>(1));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 1), static_cast<T>(20));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 2), static_cast<T>(190));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 3), static_cast<T>(1140));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 20), static_cast<T>(1));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 19), static_cast<T>(20));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 18), static_cast<T>(190));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 17), static_cast<T>(1140));
+   BOOST_CHECK_EQUAL(boost::math::binomial_coefficient<T>(20, 10), static_cast<T>(184756L));
+
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(100, 5), static_cast<T>(7.528752e7L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(100, 81), static_cast<T>(1.323415729392122674e20L), tolerance);
+
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 3), static_cast<T>(4.45510e6L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 7), static_cast<T>(4.043855956140000e13L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 290), static_cast<T>(1.3983202332417017700000000e18L), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::binomial_coefficient<T>(300, 275), static_cast<T>(1.953265141442868389822364184842211512000000e36L), tolerance);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_spots(1.0F, "float");
+   test_spots(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(1.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(), "real_concept");
+#endif
+
+   test_binomial(1.0F, "float");
+   test_binomial(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_binomial(1.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_binomial(boost::math::concepts::real_concept(), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_binomial_coeff.hpp b/src/boost/libs/math/test/test_binomial_coeff.hpp
new file mode 100644
index 000000000..cfb8104eb
--- /dev/null
+++ b/src/boost/libs/math/test/test_binomial_coeff.hpp
@@ -0,0 +1,80 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/binomial.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include <boost/math/tools/test.hpp>
+#include "functor.hpp"
+#include <boost/array.hpp>
+#include <iostream>
+#include <iomanip>
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T binomial_wrapper(T n, T k)
+{
+#ifdef BINOMIAL_FUNCTION_TO_TEST
+   return BINOMIAL_FUNCTION_TO_TEST(
+      boost::math::itrunc(n),
+      boost::math::itrunc(k));
+#else
+   return boost::math::binomial_coefficient<T>(
+      boost::math::itrunc(n),
+      boost::math::itrunc(k));
+#endif
+}
+
+template <class T>
+void test_binomial(T, const char* type_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BINOMIAL_FUNCTION_TO_TEST))
+   using namespace std;
+
+   typedef T (*func_t)(T, T);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   func_t f = &binomial_wrapper<T>;
+#else
+   func_t f = &binomial_wrapper;
+#endif
+
+#include "binomial_data.ipp"
+
+   boost::math::tools::test_result<T> result = boost::math::tools::test_hetero<T>(
+      binomial_data, 
+      bind_func<T>(f, 0, 1), 
+      extract_result<T>(2));
+
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"
+      "Test results for small arguments and type " << type_name << std::endl << std::endl;
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   handle_test_result(result, binomial_data[result.worst()], result.worst(), type_name, "binomial_coefficient", "Binomials: small arguments");
+   std::cout << std::endl;
+
+#include "binomial_large_data.ipp"
+
+   result = boost::math::tools::test_hetero<T>(
+      binomial_large_data, 
+      bind_func<T>(f, 0, 1), 
+      extract_result<T>(2));
+
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"
+      "Test results for large arguments and type " << type_name << std::endl << std::endl;
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   handle_test_result(result, binomial_large_data[result.worst()], result.worst(), type_name, "binomial_coefficient", "Binomials: large arguments");
+   std::cout << std::endl;
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_carlson.cpp b/src/boost/libs/math/test/test_carlson.cpp
new file mode 100644
index 000000000..6c46d79d0
--- /dev/null
+++ b/src/boost/libs/math/test/test_carlson.cpp
@@ -0,0 +1,203 @@
+//  Copyright 2006 John Maddock
+// Copyright Paul A. Bristow 2007.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_carlson.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Carlson Elliptic Integrals.  
+// There are two sets of tests, spot
+// tests which compare our results with the published test values, 
+// in Numerical Computation of Real or Complex Elliptic Integrals,
+// B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
+// However, the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // real long doubles:
+   //
+   if(boost::math::policies::digits<long double, boost::math::policies::policy<> >() > 53)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         BOOST_PLATFORM,                          // platform
+         largest_type,                  // test type(s)
+         ".*RJ.*",      // test data group
+         ".*", 1000, 50);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         BOOST_PLATFORM,                          // platform
+         "real_concept",                  // test type(s)
+         ".*RJ.*",      // test data group
+         ".*", 1000, 50);  // test function
+   }
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*RJ.*",      // test data group
+      ".*", 250, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*RJ.*",      // test data group
+      ".*", 250, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 25, 8);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 25, 8);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+
+    boost::math::ellint_rj(1.778e-31, 1.407e+18, 10.05, -4.83e-10);
+
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+/*
+
+test_carlson.cpp
+Linking...
+Embedding manifest...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_carlson.exe"
+Running 1 test case...
+Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32
+Testing: RF: Random data
+boost::math::ellint_rf<float> Max = 0 RMS Mean=0
+Testing: RC: Random data
+boost::math::ellint_rc<float> Max = 0 RMS Mean=0
+Testing: RJ: Random data
+boost::math::ellint_rf<float> Max = 0 RMS Mean=0
+Testing: RD: Random data
+boost::math::ellint_rd<float> Max = 0 RMS Mean=0
+Testing: RF: Random data
+boost::math::ellint_rf<double> Max = 2.949 RMS Mean=0.7498
+    worst case at row: 377
+    { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
+Testing: RC: Random data
+boost::math::ellint_rc<double> Max = 2.396 RMS Mean=0.6283
+    worst case at row: 10
+    { 1.97e-029, 3.224e-025, 2.753e+012 }
+Testing: RJ: Random data
+boost::math::ellint_rf<double> Max = 152.9 RMS Mean=11.15
+    worst case at row: 633
+    { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
+Testing: RD: Random data
+boost::math::ellint_rd<double> Max = 2.586 RMS Mean=0.8614
+    worst case at row: 45
+    { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
+Testing: RF: Random data
+boost::math::ellint_rf<long double> Max = 2.949 RMS Mean=0.7498
+    worst case at row: 377
+    { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
+Testing: RC: Random data
+boost::math::ellint_rc<long double> Max = 2.396 RMS Mean=0.6283
+    worst case at row: 10
+    { 1.97e-029, 3.224e-025, 2.753e+012 }
+Testing: RJ: Random data
+boost::math::ellint_rf<long double> Max = 152.9 RMS Mean=11.15
+    worst case at row: 633
+    { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
+Testing: RD: Random data
+boost::math::ellint_rd<long double> Max = 2.586 RMS Mean=0.8614
+    worst case at row: 45
+    { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
+Testing: RF: Random data
+boost::math::ellint_rf<real_concept> Max = 2.949 RMS Mean=0.7498
+    worst case at row: 377
+    { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
+Testing: RC: Random data
+boost::math::ellint_rc<real_concept> Max = 2.396 RMS Mean=0.6283
+    worst case at row: 10
+    { 1.97e-029, 3.224e-025, 2.753e+012 }
+Testing: RJ: Random data
+boost::math::ellint_rf<real_concept> Max = 152.9 RMS Mean=11.15
+    worst case at row: 633
+    { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
+Testing: RD: Random data
+boost::math::ellint_rd<real_concept> Max = 2.586 RMS Mean=0.8614
+    worst case at row: 45
+    { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_carlson.hpp b/src/boost/libs/math/test/test_carlson.hpp
new file mode 100644
index 000000000..97412096a
--- /dev/null
+++ b/src/boost/libs/math/test/test_carlson.hpp
@@ -0,0 +1,468 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include <boost/random.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_rf(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RF_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RF_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type) = ELLINT_RF_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rf<value_type, value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rf;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rf", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rc(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RC_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RC_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type) = ELLINT_RC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type) = boost::math::ellint_rc<value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type) = boost::math::ellint_rc;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1),
+      extract_result<Real>(2));
+      handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rc", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rj(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RJ_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RJ_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type, value_type) = ELLINT_RJ_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type, value_type, value_type) = boost::math::ellint_rj<value_type, value_type, value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type, value_type, value_type) = boost::math::ellint_rj;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1, 2, 3),
+      extract_result<Real>(4));
+      handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rj", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rd(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RD_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RD_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type) = ELLINT_RD_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rd<value_type, value_type, value_type>;
+#else
+    value_type (*fp)(value_type, value_type, value_type) = boost::math::ellint_rd;
+#endif
+    boost::math::tools::test_result<value_type> result;
+ 
+    result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(fp, 0, 1, 2),
+      extract_result<Real>(3));
+    handle_test_result(result, data[result.worst()], result.worst(), 
+      type_name, "ellint_rd", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_rg(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_RD_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_RG_FUNCTION_TO_TEST
+   value_type(*fp)(value_type, value_type, value_type) = ELLINT_RG_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type(*fp)(value_type, value_type, value_type) = boost::math::ellint_rg<value_type, value_type, value_type>;
+#else
+   value_type(*fp)(value_type, value_type, value_type) = boost::math::ellint_rg;
+#endif
+   boost::math::tools::test_result<value_type> result;
+
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_rg", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4)
+#define TEST1
+#define TEST2
+#define TEST3
+#define TEST4
+#endif
+
+#ifdef TEST1
+
+template <typename T>
+void t1(T, const char* type_name)
+{
+#include "ellint_rf_data.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_data, type_name, "RF: Random data");
+}
+
+template <typename T>
+void t2(T, const char* type_name)
+{
+#include "ellint_rf_xxx.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xxx, type_name, "RF: x = y = z");
+}
+
+template <typename T>
+void t3(T, const char* type_name)
+{
+#include "ellint_rf_xyy.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xyy, type_name, "RF: x = y or y = z or x = z");
+}
+
+template <typename T>
+void t4(T, const char* type_name)
+{
+#include "ellint_rf_0yy.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_0yy, type_name, "RF: x = 0, y = z");
+}
+
+template <typename T>
+void t5(T, const char* type_name)
+{
+#include "ellint_rf_xy0.ipp"
+
+   do_test_ellint_rf<T>(ellint_rf_xy0, type_name, "RF: z = 0");
+}
+
+#endif
+#ifdef TEST2
+
+template <typename T>
+void t6(T, const char* type_name)
+{
+#include "ellint_rc_data.ipp"
+
+   do_test_ellint_rc<T>(ellint_rc_data, type_name, "RC: Random data");
+}
+
+template <typename T>
+void t7(T, const char* type_name)
+{
+#include "ellint_rj_data.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_data, type_name, "RJ: Random data");
+}
+
+template <typename T>
+void t8(T, const char* type_name)
+{
+#include "ellint_rj_e4.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e4, type_name, "RJ: 4 Equal Values");
+}
+
+template <typename T>
+void t9(T, const char* type_name)
+{
+#include "ellint_rj_e3.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e3, type_name, "RJ: 3 Equal Values");
+}
+
+template <typename T>
+void t10(T, const char* type_name)
+{
+#include "ellint_rj_e2.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_e2, type_name, "RJ: 2 Equal Values");
+}
+
+template <typename T>
+void t11(T, const char* type_name)
+{
+#include "ellint_rj_zp.ipp"
+
+   do_test_ellint_rj<T>(ellint_rj_zp, type_name, "RJ: Equal z and p");
+}
+
+#endif
+#ifdef TEST3
+
+template <typename T>
+void t12(T, const char* type_name)
+{
+#include "ellint_rd_data.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_data, type_name, "RD: Random data");
+}
+
+template <typename T>
+void t13(T, const char* type_name)
+{
+#include "ellint_rd_xyy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xyy, type_name, "RD: y = z");
+}
+
+template <typename T>
+void t14(T, const char* type_name)
+{
+#include "ellint_rd_xxz.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xxz, type_name, "RD: x = y");
+}
+
+template <typename T>
+void t15(T, const char* type_name)
+{
+#include "ellint_rd_0yy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_0yy, type_name, "RD: x = 0, y = z");
+}
+
+template <typename T>
+void t16(T, const char* type_name)
+{
+#include "ellint_rd_xxx.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_xxx, type_name, "RD: x = y = z");
+}
+
+template <typename T>
+void t17(T, const char* type_name)
+{
+#include "ellint_rd_0xy.ipp"
+
+   do_test_ellint_rd<T>(ellint_rd_0xy, type_name, "RD: x = 0");
+}
+
+#endif
+#ifdef TEST4
+
+template <typename T>
+void t18(T, const char* type_name)
+{
+#include "ellint_rg.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg, type_name, "RG: Random Data");
+}
+
+template <typename T>
+void t19(T, const char* type_name)
+{
+#include "ellint_rg_00x.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_00x, type_name, "RG: two values 0");
+}
+
+template <typename T>
+void t20(T, const char* type_name)
+{
+#include "ellint_rg_xxx.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xxx, type_name, "RG: All values the same or zero");
+}
+
+template <typename T>
+void t21(T, const char* type_name)
+{
+#include "ellint_rg_xyy.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xyy, type_name, "RG: two values the same");
+}
+
+template <typename T>
+void t22(T, const char* type_name)
+{
+#include "ellint_rg_xy0.ipp"
+
+   do_test_ellint_rg<T>(ellint_rg_xy0, type_name, "RG: one value zero");
+}
+
+#endif
+
+template <typename T>
+void test_spots(T val, const char* type_name)
+{
+#ifndef TEST_UDT
+   using namespace boost::math;
+   using namespace std;
+   // Spot values from Numerical Computation of Real or Complex 
+   // Elliptic Integrals, B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
+   // RF:
+   T tolerance = (std::max)(T(1e-13f), tools::epsilon<T>() * 5) * 100; // Note 5eps expressed as a percentage!!!
+   T eps2 = 5 * tools::epsilon<T>();
+   BOOST_CHECK_CLOSE(ellint_rf(T(1), T(2), T(0)), T(1.3110287771461), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rf(T(0.5), T(1), T(0)), T(1.8540746773014), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rf(T(2), T(3), T(4)), T(0.58408284167715), tolerance);
+   // RC:
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(0), T(1)/4), boost::math::constants::pi<T>(), eps2);
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(9)/4, T(2)), boost::math::constants::ln_two<T>(), eps2);
+   BOOST_CHECK_CLOSE_FRACTION(ellint_rc(T(1) / 4, T(-2)), boost::math::constants::ln_two<T>() / 3, eps2);
+   // RJ:
+   BOOST_CHECK_CLOSE(ellint_rj(T(0), T(1), T(2), T(3)), T(0.77688623778582), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rj(T(2), T(3), T(4), T(5)), T(0.14297579667157), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rj(T(2), T(3), T(4), T(-0.5)), T(0.24723819703052), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rj(T(2), T(3), T(4), T(-5)), T(-0.12711230042964), tolerance);
+   // RD:
+   BOOST_CHECK_CLOSE(ellint_rd(T(0), T(2), T(1)), T(1.7972103521034), tolerance);
+   BOOST_CHECK_CLOSE(ellint_rd(T(2), T(3), T(4)), T(0.16510527294261), tolerance);
+
+   // Sanity/consistency checks from Numerical Computation of Real or Complex 
+   // Elliptic Integrals, B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
+   boost::mt19937 ran;
+   boost::uniform_real<float> ur(0, 1000);
+   T eps40 = 40 * tools::epsilon<T>();
+
+   for(unsigned i = 0; i < 1000; ++i)
+   {
+      T x = ur(ran);
+      T y = ur(ran);
+      T z = ur(ran);
+      T lambda = ur(ran);
+      T mu = x * y / lambda;
+      // RF, eq 49:
+      T s1 = ellint_rf(x+lambda, y+lambda, lambda) + 
+         ellint_rf(x + mu, y + mu, mu);
+      T s2 = ellint_rf(x, y, T(0));
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      // RC is degenerate case of RF:
+      s1 = ellint_rc(x, y);
+      s2 = ellint_rf(x, y, y);
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      // RC, eq 50 (Note have to assume y = x):
+      T mu2 = x * x / lambda;
+      s1 = ellint_rc(lambda, x+lambda) 
+         + ellint_rc(mu2, x + mu2);
+      s2 = ellint_rc(T(0), x);
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      /*
+      T p = ????; // no closed form for a, b and p???
+      s1 = ellint_rj(x+lambda, y+lambda, lambda, p+lambda)
+         + ellint_rj(x+mu, y+mu, mu, p+mu);
+      s2 = ellint_rj(x, y, T(0), p)
+         - 3 * ellint_rc(a, b);
+      */
+      // RD, eq 53:
+      s1 = ellint_rd(lambda, x+lambda, y+lambda)
+         + ellint_rd(mu, x+mu, y+mu);
+      s2 = ellint_rd(T(0), x, y)
+         - 3 / (y * sqrt(x+y+lambda+mu));
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+      // RD is degenerate case of RJ:
+      s1 = ellint_rd(x, y, z);
+      s2 = ellint_rj(x, y, z, z);
+      BOOST_CHECK_CLOSE_FRACTION(s1, s2, eps40);
+   }
+#endif
+   //
+   // Now random spot values:
+   //
+#ifdef TEST1
+   t1(val, type_name);
+   t2(val, type_name);
+   t3(val, type_name);
+   t4(val, type_name);
+   t5(val, type_name);
+#endif
+#ifdef TEST2
+   t6(val, type_name);
+   t7(val, type_name);
+   t8(val, type_name);
+   t9(val, type_name);
+   t10(val, type_name);
+   t11(val, type_name);
+#endif
+#ifdef TEST3
+   t12(val, type_name);
+   t13(val, type_name);
+   t14(val, type_name);
+   t15(val, type_name);
+   t16(val, type_name);
+   t17(val, type_name);
+#endif
+#ifdef TEST4
+   t18(val, type_name);
+   t19(val, type_name);
+   t20(val, type_name);
+   t21(val, type_name);
+   t22(val, type_name);
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_cauchy.cpp b/src/boost/libs/math/test/test_cauchy.cpp
new file mode 100644
index 000000000..3cbcba6c0
--- /dev/null
+++ b/src/boost/libs/math/test/test_cauchy.cpp
@@ -0,0 +1,746 @@
+// Copyright John Maddock 2006, 2007.
+// Copyright Paul A. Bristow 2007
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_cauchy.cpp Test Cauchy distribution
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+// Seems an entirely spurious warning - formal parameter T IS used - get error if /* T */
+//#  pragma warning(disable: 4535) // calling _set_se_translator() requires /EHa (in Boost.test)
+// Enable C++ Exceptions Yes With SEH Exceptions (/EHa) prevents warning 4535.
+#  pragma warning(disable: 4127) // conditional expression is constant
+#endif
+
+// #define BOOST_MATH_ASSERT_UNDEFINED_POLICY false 
+// To compile even if Cauchy mean is used.
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/cauchy.hpp>
+    using boost::math::cauchy_distribution;
+
+#include "test_out_of_range.hpp"
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+
+template <class RealType>
+void test_spots(RealType T)
+{
+  // Check some bad parameters to construct the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType> nbad1(0, 0), std::domain_error); // zero scale.
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType> nbad1(0, -1), std::domain_error); // negative scale (shape).
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType>(0, 0), std::domain_error); // zero scale.
+  BOOST_MATH_CHECK_THROW(boost::math::cauchy_distribution<RealType>(0, -1), std::domain_error); // negative scale (shape).
+#endif
+  cauchy_distribution<RealType> C01;
+
+  BOOST_CHECK_EQUAL(C01.location(), 0); // Check standard values.
+  BOOST_CHECK_EQUAL(C01.scale(), 1);
+
+   // Basic sanity checks.
+  // 50eps as a percentage, up to a maximum of double precision
+  // (that's the limit of our test data).
+  RealType tolerance = (std::max)(
+     static_cast<RealType>(boost::math::tools::epsilon<double>()),
+     boost::math::tools::epsilon<RealType>());
+  tolerance *= 50 * 100;
+
+  cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+   // These first sets of test values were calculated by punching numbers
+   // into a calculator, and using the formulas on the Mathworld website:
+   // http://mathworld.wolfram.com/CauchyDistribution.html
+   // and values from MathCAD 200 Professional, 
+   // CDF:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.53958342416056554201085167134004L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.125)),              // x
+         static_cast<RealType>(0.46041657583943445798914832865996L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.5)),              // x
+         static_cast<RealType>(0.64758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.5)),              // x
+         static_cast<RealType>(0.35241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(1.0)),              // x
+         static_cast<RealType>(0.75),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-1.0)),              // x
+         static_cast<RealType>(0.25),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(2.0)),              // x
+         static_cast<RealType>(0.85241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-2.0)),              // x
+         static_cast<RealType>(0.14758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(10.0)),              // x
+         static_cast<RealType>(0.9682744825694464304850228813987L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-10.0)),              // x
+         static_cast<RealType>(0.031725517430553569514977118601302L),                // probability.
+         tolerance); // %
+
+   //
+   // Complements:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.125))),              // x
+         static_cast<RealType>(0.46041657583943445798914832865996L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.125))),              // x
+         static_cast<RealType>(0.53958342416056554201085167134004L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.5))),              // x
+         static_cast<RealType>(0.35241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.5))),              // x
+         static_cast<RealType>(0.64758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(1.0))),              // x
+         static_cast<RealType>(0.25),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-1.0))),              // x
+         static_cast<RealType>(0.75),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(2.0))),              // x
+         static_cast<RealType>(0.14758361765043327417540107622474L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-2.0))),              // x
+         static_cast<RealType>(0.85241638234956672582459892377526L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(10.0))),              // x
+         static_cast<RealType>(0.031725517430553569514977118601302L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(-10.0))),              // x
+         static_cast<RealType>(0.9682744825694464304850228813987L),                // probability.
+         tolerance); // %
+
+   //
+   // Quantiles:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.53958342416056554201085167134004L)),
+         static_cast<RealType>(0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.46041657583943445798914832865996L)),
+         static_cast<RealType>(-0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.64758361765043327417540107622474L)),
+         static_cast<RealType>(0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.35241638234956672582459892377526)),
+         static_cast<RealType>(-0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.75)),
+         static_cast<RealType>(1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.25)),
+         static_cast<RealType>(-1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.85241638234956672582459892377526L)),
+         static_cast<RealType>(2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.14758361765043327417540107622474L)),
+         static_cast<RealType>(-2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.9682744825694464304850228813987L)),
+         static_cast<RealType>(10.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.031725517430553569514977118601302L)),
+         static_cast<RealType>(-10.0),
+         tolerance); // %
+
+   //
+   // Quantile from complement:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.46041657583943445798914832865996L))),
+         static_cast<RealType>(0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.53958342416056554201085167134004L))),
+         static_cast<RealType>(-0.125),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.35241638234956672582459892377526L))),
+         static_cast<RealType>(0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.64758361765043327417540107622474L))),
+         static_cast<RealType>(-0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.25))),
+         static_cast<RealType>(1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.75))),
+         static_cast<RealType>(-1.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.14758361765043327417540107622474L))),
+         static_cast<RealType>(2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.85241638234956672582459892377526L))),
+         static_cast<RealType>(-2.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.031725517430553569514977118601302L))),
+         static_cast<RealType>(10.0),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.9682744825694464304850228813987L))),
+         static_cast<RealType>(-10.0),
+         tolerance); // %
+
+   //
+   // PDF
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.31341281101173235351410956479511L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.125)),              // x
+         static_cast<RealType>(0.31341281101173235351410956479511L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(0.5)),              // x
+         static_cast<RealType>(0.25464790894703253723021402139602L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-0.5)),              // x
+         static_cast<RealType>(0.25464790894703253723021402139602L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(1.0)),              // x
+         static_cast<RealType>(0.15915494309189533576888376337251L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-1.0)),              // x
+         static_cast<RealType>(0.15915494309189533576888376337251L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(2.0)),              // x
+         static_cast<RealType>(0.063661977236758134307553505349006L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-2.0)),              // x
+         static_cast<RealType>(0.063661977236758134307553505349006L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(10.0)),              // x
+         static_cast<RealType>(0.0031515830315226799162155200667825L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(),
+         static_cast<RealType>(-10.0)),              // x
+         static_cast<RealType>(0.0031515830315226799162155200667825L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(2, 5),
+         static_cast<RealType>(1)),              // x
+         static_cast<RealType>(0.061213439650728975295724524374044L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         cauchy_distribution<RealType>(-2, 0.25),
+         static_cast<RealType>(1)),              // x
+         static_cast<RealType>(0.0087809623774838805941453110826215L),                // probability.
+         tolerance); // %
+
+   //
+   // The following test values were calculated using MathCad,
+   // precision seems to be about 10^-13.
+   //
+   tolerance = (std::max)(tolerance, static_cast<RealType>(1e-11));
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.271189304634946L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(0.125))),              // x
+         static_cast<RealType>(1 - 0.271189304634946L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(0.271189304634946L)),              // x
+         static_cast<RealType>(0.125),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(1, 1),
+         static_cast<RealType>(1 - 0.271189304634946L))),              // x
+         static_cast<RealType>(0.125),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.539583424160566L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(0.5)),              // x
+         static_cast<RealType>(0.647583617650433L),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(1)),              // x
+         static_cast<RealType>(0.750000000000000),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(2)),              // x
+         static_cast<RealType>(0.852416382349567),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(10)),              // x
+         static_cast<RealType>(0.968274482569447),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(100)),              // x
+         static_cast<RealType>(0.996817007235092),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-0.125)),              // x
+         static_cast<RealType>(0.460416575839434),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-0.5)),              // x
+         static_cast<RealType>(0.352416382349567),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-1)),              // x
+         static_cast<RealType>(0.2500000000000000),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-2)),              // x
+         static_cast<RealType>(0.147583617650433),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-10)),              // x
+         static_cast<RealType>(0.031725517430554),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(0, 1),
+         static_cast<RealType>(-100)),              // x
+         static_cast<RealType>(3.18299276490824E-3),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(1.25)),              // x
+         static_cast<RealType>(0.515902251256176),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(1.25)),              // x
+         static_cast<RealType>(0.385799748780092),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(3)),              // x
+         static_cast<RealType>(0.039583424160566),  // probability.
+         tolerance); // % 
+   BOOST_CHECK_CLOSE( 
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(-2, static_cast<RealType>(0.0001)),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(3.1830988512275777e-5),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.455724386698215),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.506365349100973),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(1.25))),              // x
+         static_cast<RealType>(1-0.515902251256176),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(1.25))),              // x
+         static_cast<RealType>(1-0.385799748780092),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(3))),              // x
+         static_cast<RealType>(1-0.039583424160566),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         cauchy_distribution<RealType>(-2, static_cast<RealType>(0.001)),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.000318309780080539),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(-3))),              // x
+         static_cast<RealType>(1-0.455724386698215),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(-3))),              // x
+         static_cast<RealType>(1-0.506365349100973),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(0.515902251256176)),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(0.385799748780092)),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(0.039583424160566)),              // x
+         static_cast<RealType>(3),  // probability.
+         tolerance); // %
+   /*
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(-2, 0.0001),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.000015915494296),  // probability.
+         tolerance); // %
+         */
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(0.455724386698215)),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(0.506365349100973)),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(1, 5),
+         static_cast<RealType>(1-0.515902251256176))),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(2, 2),
+         static_cast<RealType>(1-0.385799748780092))),              // x
+         static_cast<RealType>(1.25),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(4, 0.125),
+         static_cast<RealType>(1-0.039583424160566))),              // x
+         static_cast<RealType>(3),  // probability.
+         tolerance); // %
+   /*
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         cauchy_distribution<RealType>(-2, 0.0001),
+         static_cast<RealType>(-3)),              // x
+         static_cast<RealType>(0.000015915494296),  // probability.
+         tolerance); // %
+         */
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(4, 50),
+         static_cast<RealType>(1-0.455724386698215))),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(cauchy_distribution<RealType>(-4, 50),
+         static_cast<RealType>(1-0.506365349100973))),              // x
+         static_cast<RealType>(-3),  // probability.
+         tolerance); // %
+
+   cauchy_distribution<RealType> dist; // default (0, 1)
+   BOOST_CHECK_EQUAL(
+       mode(dist),
+       static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL(
+       median(dist),
+       static_cast<RealType>(0));
+   RealType expected_entropy = log(2*boost::math::constants::two_pi<RealType>());
+   BOOST_CHECK_CLOSE(
+       entropy(dist),
+       expected_entropy, tolerance);
+
+   //
+   // Things that now don't compile (BOOST-STATIC_ASSERT_FAILURE) by default.
+   // #define BOOST_MATH_ASSERT_UNDEFINED_POLICY false 
+   // To compile even if Cauchy mean is used.
+   // See policy reference, mathematically undefined function policies
+   //
+   //BOOST_MATH_CHECK_THROW(
+   //    mean(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    variance(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    standard_deviation(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    kurtosis(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    kurtosis_excess(dist),
+   //    std::domain_error);
+   //BOOST_MATH_CHECK_THROW(
+   //    skewness(dist),
+   //    std::domain_error);
+
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(0.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(1.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(0.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(1.0))),
+       std::overflow_error);
+
+   check_out_of_range<boost::math::cauchy_distribution<RealType> >(0, 1); // (All) valid constructor parameter values.
+
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+   // Check that can generate cauchy distribution using the two convenience methods:
+  boost::math::cauchy mycd1(1.); // Using typedef
+  cauchy_distribution<> mycd2(1.); // Using default RealType double.
+  cauchy_distribution<> C01; // Using default RealType double for Standard Cauchy.
+  BOOST_CHECK_EQUAL(C01.location(), 0); // Check standard values.
+  BOOST_CHECK_EQUAL(C01.scale(), 1);
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+Output:
+
+Running 1 test case...
+Tolerance for type float is 0.000596046 %
+Tolerance for type double is 1.11022e-012 %
+Tolerance for type long double is 1.11022e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-012 %
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_cbrt.cpp b/src/boost/libs/math/test/test_cbrt.cpp
new file mode 100644
index 000000000..8b36a765d
--- /dev/null
+++ b/src/boost/libs/math/test/test_cbrt.cpp
@@ -0,0 +1,92 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2010
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224)
+#endif
+
+#include <pch_light.hpp> // include /libs/math/src/
+#include "test_cbrt.hpp"
+
+#include <boost/math/special_functions/cbrt.hpp> // Added to avoid link failure missing cbrt variants.
+// Assumes special functions library built rather than included?
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the function cbrt.  The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+   add_expected_result(
+      "Borland.*",                    // compiler
+      ".*",                           // stdlib
+      ".*",                           // platform
+      "long double",                  // test type(s)
+      ".*",                           // test data group
+      ".*", 10, 6);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 2);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+   test_cbrt(0.1F, "float");
+   test_cbrt(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_cbrt(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_cbrt(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_cbrt.hpp b/src/boost/libs/math/test/test_cbrt.hpp
new file mode 100644
index 000000000..49886a37b
--- /dev/null
+++ b/src/boost/libs/math/test/test_cbrt.hpp
@@ -0,0 +1,87 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real>
+struct negative_cbrt
+{
+   negative_cbrt(){}
+
+   template <class S>
+   Real operator()(const S& row)
+   {
+      return boost::math::cbrt(Real(-Real(row[1])));
+   }
+};
+
+
+template <class Real, class T>
+void do_test_cbrt(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(CBRT_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef CBRT_FUNCTION_TO_TEST
+   pg funcp = boost::math::cbrt<value_type>;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::cbrt<value_type>;
+#else
+   pg funcp = boost::math::cbrt;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test cbrt against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 1), 
+      extract_result<Real>(0));
+   result += boost::math::tools::test_hetero<Real>(
+      data, 
+      negative_cbrt<Real>(), 
+      negate<Real>(extract_result<Real>(0)));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cbrt", test_name);
+   std::cout << std::endl;
+#endif
+}
+template <class T>
+void test_cbrt(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file.
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "cbrt_data.ipp"
+
+   do_test_cbrt<T>(cbrt_data, name, "cbrt Function");
+
+}
+
diff --git a/src/boost/libs/math/test/test_chi_squared.cpp b/src/boost/libs/math/test/test_chi_squared.cpp
new file mode 100644
index 000000000..41e4dd5e5
--- /dev/null
+++ b/src/boost/libs/math/test/test_chi_squared.cpp
@@ -0,0 +1,594 @@
+// test_chi_squared.cpp
+
+// Copyright Paul A. Bristow 2006.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+// Seems an entirely spurious warning - formal parameter T IS used - get error if /* T */
+//#  pragma warning(disable: 4535) // calling _set_se_translator() requires /EHa (in Boost.test)
+// Enable C++ Exceptions Yes With SEH Exceptions (/EHa) prevents warning 4535.
+#  pragma warning(disable: 4127) // conditional expression is constant
+#endif
+
+#include <boost/math/tools/test.hpp> // for real_concept
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/chi_squared.hpp> // for chi_squared_distribution
+#include <boost/math/distributions/non_central_chi_squared.hpp> // for chi_squared_distribution
+using boost::math::chi_squared_distribution;
+using boost::math::chi_squared;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType df, RealType x)
+{
+   using namespace std; // For ADL of std functions.
+   RealType e = log(x) * ((df / 2) - 1) - (x / 2) - boost::math::lgamma(df/2);
+   e -= log(static_cast<RealType>(2)) * df / 2;
+   return exp(e);
+}
+
+template <class RealType>
+void test_spot(
+     RealType df,    // Degrees of freedom
+     RealType cs,    // Chi Square statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::chi_squared_distribution<RealType> dist(df);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist, cs), naive_pdf(dist.degrees_of_freedom(), cs), tol);
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), cs, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), cs, tol);
+   }
+
+   boost::math::non_central_chi_squared_distribution<RealType> dist2(df, 0);
+   BOOST_CHECK_CLOSE(
+      cdf(dist2, cs), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist2, cs), naive_pdf(dist2.degrees_of_freedom(), cs), tol);
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist2, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(dist2, P), cs, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(complement(dist2, Q)), cs, tol);
+   }
+}
+
+//
+// This test data is taken from the tables of upper and lower
+// critical values of the Chi Squared distribution available
+// at http://www.itl.nist.gov/div898/handbook/eda/section3/eda3674.htm
+//
+double q[] = { 0.10, 0.05, 0.025, 0.01, 0.001 };
+double upper_critical_values[][6] = {
+  { 1,         2.706,    3.841,    5.024,    6.635,   10.828 },
+  { 2,         4.605,    5.991,    7.378,    9.210,   13.816 },
+  { 3,         6.251,    7.815,    9.348,   11.345,   16.266 },
+  { 4,         7.779,    9.488,   11.143,   13.277,   18.467 },
+  { 5,         9.236,   11.070,   12.833,   15.086,   20.515 },
+  { 6,        10.645,   12.592,   14.449,   16.812,   22.458 },
+  { 7,        12.017,   14.067,   16.013,   18.475,   24.322 },
+  { 8,        13.362,   15.507,   17.535,   20.090,   26.125 },
+  { 9,        14.684,   16.919,   19.023,   21.666,   27.877 },
+ { 10,        15.987,   18.307,   20.483,   23.209,   29.588 },
+ { 11,        17.275,   19.675,   21.920,   24.725,   31.264 },
+ { 12,        18.549,   21.026,   23.337,   26.217,   32.910 },
+ { 13,        19.812,   22.362,   24.736,   27.688,   34.528 },
+ { 14,        21.064,   23.685,   26.119,   29.141,   36.123 },
+ { 15,        22.307,   24.996,   27.488,   30.578,   37.697 },
+ { 16,        23.542,   26.296,   28.845,   32.000,   39.252 },
+ { 17,        24.769,   27.587,   30.191,   33.409,   40.790 },
+ { 18,        25.989,   28.869,   31.526,   34.805,   42.312 },
+ { 19,        27.204,   30.144,   32.852,   36.191,   43.820 },
+ { 20,        28.412,   31.410,   34.170,   37.566,   45.315 },
+ { 21,        29.615,   32.671,   35.479,   38.932,   46.797 },
+ { 22,        30.813,   33.924,   36.781,   40.289,   48.268 },
+ { 23,        32.007,   35.172,   38.076,   41.638,   49.728 },
+ { 24,        33.196,   36.415,   39.364,   42.980,   51.179 },
+ { 25,        34.382,   37.652,   40.646,   44.314,   52.620 },
+ { 26,        35.563,   38.885,   41.923,   45.642,   54.052 },
+ { 27,        36.741,   40.113,   43.195,   46.963,   55.476 },
+ { 28,        37.916,   41.337,   44.461,   48.278,   56.892 },
+ { 29,        39.087,   42.557,   45.722,   49.588,   58.301 },
+ { 30,        40.256,   43.773,   46.979,   50.892,   59.703 },
+ { 31,        41.422,   44.985,   48.232,   52.191,   61.098 },
+ { 32,        42.585,   46.194,   49.480,   53.486,   62.487 },
+ { 33,        43.745,   47.400,   50.725,   54.776,   63.870 },
+ { 34,        44.903,   48.602,   51.966,   56.061,   65.247 },
+ { 35,        46.059,   49.802,   53.203,   57.342,   66.619 },
+ { 36,        47.212,   50.998,   54.437,   58.619,   67.985 },
+ { 37,        48.363,   52.192,   55.668,   59.893,   69.347 },
+ { 38,        49.513,   53.384,   56.896,   61.162,   70.703 },
+ { 39,        50.660,   54.572,   58.120,   62.428,   72.055 },
+ { 40,        51.805,   55.758,   59.342,   63.691,   73.402 },
+ { 41,        52.949,   56.942,   60.561,   64.950,   74.745 },
+ { 42,        54.090,   58.124,   61.777,   66.206,   76.084 },
+ { 43,        55.230,   59.304,   62.990,   67.459,   77.419 },
+ { 44,        56.369,   60.481,   64.201,   68.710,   78.750 },
+ { 45,        57.505,   61.656,   65.410,   69.957,   80.077 },
+ { 46,        58.641,   62.830,   66.617,   71.201,   81.400 },
+ { 47,        59.774,   64.001,   67.821,   72.443,   82.720 },
+ { 48,        60.907,   65.171,   69.023,   73.683,   84.037 },
+ { 49,        62.038,   66.339,   70.222,   74.919,   85.351 },
+ { 50,        63.167,   67.505,   71.420,   76.154,   86.661 },
+ { 51,        64.295,   68.669,   72.616,   77.386,   87.968 },
+ { 52,        65.422,   69.832,   73.810,   78.616,   89.272 },
+ { 53,        66.548,   70.993,   75.002,   79.843,   90.573 },
+ { 54,        67.673,   72.153,   76.192,   81.069,   91.872 },
+ { 55,        68.796,   73.311,   77.380,   82.292,   93.168 },
+ { 56,        69.919,   74.468,   78.567,   83.513,   94.461 },
+ { 57,        71.040,   75.624,   79.752,   84.733,   95.751 },
+ { 58,        72.160,   76.778,   80.936,   85.950,   97.039 },
+ { 59,        73.279,   77.931,   82.117,   87.166,   98.324 },
+ { 60,        74.397,   79.082,   83.298,   88.379,   99.607 },
+ { 61,        75.514,   80.232,   84.476,   89.591,  100.888 },
+ { 62,        76.630,   81.381,   85.654,   90.802,  102.166 },
+ { 63,        77.745,   82.529,   86.830,   92.010,  103.442 },
+ { 64,        78.860,   83.675,   88.004,   93.217,  104.716 },
+ { 65,        79.973,   84.821,   89.177,   94.422,  105.988 },
+ { 66,        81.085,   85.965,   90.349,   95.626,  107.258 },
+ { 67,        82.197,   87.108,   91.519,   96.828,  108.526 },
+ { 68,        83.308,   88.250,   92.689,   98.028,  109.791 },
+ { 69,        84.418,   89.391,   93.856,   99.228,  111.055 },
+ { 70,        85.527,   90.531,   95.023,  100.425,  112.317 },
+ { 71,        86.635,   91.670,   96.189,  101.621,  113.577 },
+ { 72,        87.743,   92.808,   97.353,  102.816,  114.835 },
+ { 73,        88.850,   93.945,   98.516,  104.010,  116.092 },
+ { 74,        89.956,   95.081,   99.678,  105.202,  117.346 },
+ { 75,        91.061,   96.217,  100.839,  106.393,  118.599 },
+ { 76,        92.166,   97.351,  101.999,  107.583,  119.850 },
+ { 77,        93.270,   98.484,  103.158,  108.771,  121.100 },
+ { 78,        94.374,   99.617,  104.316,  109.958,  122.348 },
+ { 79,        95.476,  100.749,  105.473,  111.144,  123.594 },
+ { 80,        96.578,  101.879,  106.629,  112.329,  124.839 },
+ { 81,        97.680,  103.010,  107.783,  113.512,  126.083 },
+ { 82,        98.780,  104.139,  108.937,  114.695,  127.324 },
+ { 83,        99.880,  105.267,  110.090,  115.876,  128.565 },
+ { 84,       100.980,  106.395,  111.242,  117.057,  129.804 },
+ { 85,       102.079,  107.522,  112.393,  118.236,  131.041 },
+ { 86,       103.177,  108.648,  113.544,  119.414,  132.277 },
+ { 87,       104.275,  109.773,  114.693,  120.591,  133.512 },
+ { 88,       105.372,  110.898,  115.841,  121.767,  134.746 },
+ { 89,       106.469,  112.022,  116.989,  122.942,  135.978 },
+ { 90,       107.565,  113.145,  118.136,  124.116,  137.208 },
+ { 91,       108.661,  114.268,  119.282,  125.289,  138.438 },
+ { 92,       109.756,  115.390,  120.427,  126.462,  139.666 },
+ { 93,       110.850,  116.511,  121.571,  127.633,  140.893 },
+ { 94,       111.944,  117.632,  122.715,  128.803,  142.119 },
+ { 95,       113.038,  118.752,  123.858,  129.973,  143.344 },
+ { 96,       114.131,  119.871,  125.000,  131.141,  144.567 },
+ { 97,       115.223,  120.990,  126.141,  132.309,  145.789 },
+ { 98,       116.315,  122.108,  127.282,  133.476,  147.010 },
+ { 99,       117.407,  123.225,  128.422,  134.642,  148.230 },
+ { 100,       118.498,  124.342,  129.561,  135.807,  149.449 },
+ {100,       118.498,  124.342,  129.561,  135.807,  149.449 }
+};
+
+double lower_critical_values[][6] = {
+   /*
+   These have fewer than 4 significant digits, leave them out
+   of the tests for now:
+     1.,         .016,     .004,     .001,     .000,     .000,
+     2.,         .211,     .103,     .051,     .020,     .002,
+     3.,         .584,     .352,     .216,     .115,     .024,
+     4.,        1.064,     .711,     .484,     .297,     .091,
+     5.,        1.610,    1.145,     .831,     .554,     .210,
+     6.,        2.204,    1.635,    1.237,     .872,     .381,
+     7.,        2.833,    2.167,    1.690,    1.239,     .598,
+     8.,        3.490,    2.733,    2.180,    1.646,     .857,
+     */
+     { 9.,        4.168,    3.325,    2.700,    2.088,    1.152 },
+    { 10.,        4.865,    3.940,    3.247,    2.558,    1.479 },
+    { 11.,        5.578,    4.575,    3.816,    3.053,    1.834 },
+    { 12.,        6.304,    5.226,    4.404,    3.571,    2.214 },
+    { 13.,        7.042,    5.892,    5.009,    4.107,    2.617 },
+    { 14.,        7.790,    6.571,    5.629,    4.660,    3.041 },
+    { 15.,        8.547,    7.261,    6.262,    5.229,    3.483 },
+    { 16.,        9.312,    7.962,    6.908,    5.812,    3.942 },
+    { 17.,       10.085,    8.672,    7.564,    6.408,    4.416 },
+    { 18.,       10.865,    9.390,    8.231,    7.015,    4.905 },
+    { 19.,       11.651,   10.117,    8.907,    7.633,    5.407 },
+    { 20.,       12.443,   10.851,    9.591,    8.260,    5.921 },
+    { 21.,       13.240,   11.591,   10.283,    8.897,    6.447 },
+    { 22.,       14.041,   12.338,   10.982,    9.542,    6.983 },
+    { 23.,       14.848,   13.091,   11.689,   10.196,    7.529 },
+    { 24.,       15.659,   13.848,   12.401,   10.856,    8.085 },
+    { 25.,       16.473,   14.611,   13.120,   11.524,    8.649 },
+    { 26.,       17.292,   15.379,   13.844,   12.198,    9.222 },
+    { 27.,       18.114,   16.151,   14.573,   12.879,    9.803 },
+    { 28.,       18.939,   16.928,   15.308,   13.565,   10.391 },
+    { 29.,       19.768,   17.708,   16.047,   14.256,   10.986 },
+    { 30.,       20.599,   18.493,   16.791,   14.953,   11.588 },
+    { 31.,       21.434,   19.281,   17.539,   15.655,   12.196 },
+    { 32.,       22.271,   20.072,   18.291,   16.362,   12.811 },
+    { 33.,       23.110,   20.867,   19.047,   17.074,   13.431 },
+    { 34.,       23.952,   21.664,   19.806,   17.789,   14.057 },
+    { 35.,       24.797,   22.465,   20.569,   18.509,   14.688 },
+    { 36.,       25.643,   23.269,   21.336,   19.233,   15.324 },
+    { 37.,       26.492,   24.075,   22.106,   19.960,   15.965 },
+    { 38.,       27.343,   24.884,   22.878,   20.691,   16.611 },
+    { 39.,       28.196,   25.695,   23.654,   21.426,   17.262 },
+    { 40.,       29.051,   26.509,   24.433,   22.164,   17.916 },
+    { 41.,       29.907,   27.326,   25.215,   22.906,   18.575 },
+    { 42.,       30.765,   28.144,   25.999,   23.650,   19.239 },
+    { 43.,       31.625,   28.965,   26.785,   24.398,   19.906 },
+    { 44.,       32.487,   29.787,   27.575,   25.148,   20.576 },
+    { 45.,       33.350,   30.612,   28.366,   25.901,   21.251 },
+    { 46.,       34.215,   31.439,   29.160,   26.657,   21.929 },
+    { 47.,       35.081,   32.268,   29.956,   27.416,   22.610 },
+    { 48.,       35.949,   33.098,   30.755,   28.177,   23.295 },
+    { 49.,       36.818,   33.930,   31.555,   28.941,   23.983 },
+    { 50.,       37.689,   34.764,   32.357,   29.707,   24.674 },
+    { 51.,       38.560,   35.600,   33.162,   30.475,   25.368 },
+    { 52.,       39.433,   36.437,   33.968,   31.246,   26.065 },
+    { 53.,       40.308,   37.276,   34.776,   32.018,   26.765 },
+    { 54.,       41.183,   38.116,   35.586,   32.793,   27.468 },
+    { 55.,       42.060,   38.958,   36.398,   33.570,   28.173 },
+    { 56.,       42.937,   39.801,   37.212,   34.350,   28.881 },
+    { 57.,       43.816,   40.646,   38.027,   35.131,   29.592 },
+    { 58.,       44.696,   41.492,   38.844,   35.913,   30.305 },
+    { 59.,       45.577,   42.339,   39.662,   36.698,   31.020 },
+    { 60.,       46.459,   43.188,   40.482,   37.485,   31.738 },
+    { 61.,       47.342,   44.038,   41.303,   38.273,   32.459 },
+    { 62.,       48.226,   44.889,   42.126,   39.063,   33.181 },
+    { 63.,       49.111,   45.741,   42.950,   39.855,   33.906 },
+    { 64.,       49.996,   46.595,   43.776,   40.649,   34.633 },
+    { 65.,       50.883,   47.450,   44.603,   41.444,   35.362 },
+    { 66.,       51.770,   48.305,   45.431,   42.240,   36.093 },
+    { 67.,       52.659,   49.162,   46.261,   43.038,   36.826 },
+    { 68.,       53.548,   50.020,   47.092,   43.838,   37.561 },
+    { 69.,       54.438,   50.879,   47.924,   44.639,   38.298 },
+    { 70.,       55.329,   51.739,   48.758,   45.442,   39.036 },
+    { 71.,       56.221,   52.600,   49.592,   46.246,   39.777 },
+    { 72.,       57.113,   53.462,   50.428,   47.051,   40.519 },
+    { 73.,       58.006,   54.325,   51.265,   47.858,   41.264 },
+    { 74.,       58.900,   55.189,   52.103,   48.666,   42.010 },
+    { 75.,       59.795,   56.054,   52.942,   49.475,   42.757 },
+    { 76.,       60.690,   56.920,   53.782,   50.286,   43.507 },
+    { 77.,       61.586,   57.786,   54.623,   51.097,   44.258 },
+    { 78.,       62.483,   58.654,   55.466,   51.910,   45.010 },
+    { 79.,       63.380,   59.522,   56.309,   52.725,   45.764 },
+    { 80.,       64.278,   60.391,   57.153,   53.540,   46.520 },
+    { 81.,       65.176,   61.261,   57.998,   54.357,   47.277 },
+    { 82.,       66.076,   62.132,   58.845,   55.174,   48.036 },
+    { 83.,       66.976,   63.004,   59.692,   55.993,   48.796 },
+    { 84.,       67.876,   63.876,   60.540,   56.813,   49.557 },
+    { 85.,       68.777,   64.749,   61.389,   57.634,   50.320 },
+    { 86.,       69.679,   65.623,   62.239,   58.456,   51.085 },
+    { 87.,       70.581,   66.498,   63.089,   59.279,   51.850 },
+    { 88.,       71.484,   67.373,   63.941,   60.103,   52.617 },
+    { 89.,       72.387,   68.249,   64.793,   60.928,   53.386 },
+    { 90.,       73.291,   69.126,   65.647,   61.754,   54.155 },
+    { 91.,       74.196,   70.003,   66.501,   62.581,   54.926 },
+    { 92.,       75.100,   70.882,   67.356,   63.409,   55.698 },
+    { 93.,       76.006,   71.760,   68.211,   64.238,   56.472 },
+    { 94.,       76.912,   72.640,   69.068,   65.068,   57.246 },
+    { 95.,       77.818,   73.520,   69.925,   65.898,   58.022 },
+    { 96.,       78.725,   74.401,   70.783,   66.730,   58.799 },
+    { 97.,       79.633,   75.282,   71.642,   67.562,   59.577 },
+    { 98.,       80.541,   76.164,   72.501,   68.396,   60.356 },
+    { 99.,       81.449,   77.046,   73.361,   69.230,   61.137 },
+    {100.,       82.358,   77.929,   74.222,   70.065,   61.918 }
+};
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType T)
+{
+  // Basic sanity checks, test data is to three decimal places only
+  // so set tolerance to 0.001 expressed as a percentage.
+
+  RealType tolerance = 0.001f * 100;
+
+  cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+  using boost::math::chi_squared_distribution;
+  using  ::boost::math::chi_squared;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  for(unsigned i = 0; i < sizeof(upper_critical_values) / sizeof(upper_critical_values[0]); ++i)
+  {
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][1]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[0]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[0]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][2]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[1]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[1]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][3]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[2]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[2]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][4]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[3]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[3]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(upper_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(upper_critical_values[i][5]),   // Chi Squared statistic
+        static_cast<RealType>(1 - q[4]),       // Probability of result (CDF), P
+        static_cast<RealType>(q[4]),           // Q = 1 - P
+        tolerance);
+  }
+
+  for(unsigned i = 0; i < sizeof(lower_critical_values) / sizeof(lower_critical_values[0]); ++i)
+  {
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][1]),   // Chi Squared statistic
+        static_cast<RealType>(q[0]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[0]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][2]),   // Chi Squared statistic
+        static_cast<RealType>(q[1]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[1]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][3]),   // Chi Squared statistic
+        static_cast<RealType>(q[2]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[2]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][4]),   // Chi Squared statistic
+        static_cast<RealType>(q[3]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[3]),           // Q = 1 - P
+        tolerance);
+     test_spot(
+        static_cast<RealType>(lower_critical_values[i][0]),   // degrees of freedom
+        static_cast<RealType>(lower_critical_values[i][5]),   // Chi Squared statistic
+        static_cast<RealType>(q[4]),       // Probability of result (CDF), P
+        static_cast<RealType>(1 - q[4]),           // Q = 1 - P
+        tolerance);
+  }
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+    chi_squared_distribution<RealType> dist(static_cast<RealType>(8));
+    RealType x = 7;
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(16), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(4), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(6), tol2);
+
+    BOOST_CHECK_CLOSE(
+       median(dist), 
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(0.5)), static_cast<RealType>(tol2));
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(1), tol2);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(4.5), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(1.5), tol2);
+    // special cases:
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(1)),
+          static_cast<RealType>(0)), std::overflow_error
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(chi_squared_distribution<RealType>(2), static_cast<RealType>(0))
+       , static_cast<RealType>(0.5f));
+    BOOST_CHECK_EQUAL(
+       pdf(chi_squared_distribution<RealType>(3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(chi_squared_distribution<RealType>(1), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(chi_squared_distribution<RealType>(2), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(chi_squared_distribution<RealType>(3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(chi_squared_distribution<RealType>(1), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(chi_squared_distribution<RealType>(2), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(chi_squared_distribution<RealType>(3), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(0.5)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(1.1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+          static_cast<RealType>(0.5))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+          static_cast<RealType>(1.1))), std::domain_error
+       );
+
+    // This first test value is taken from an example here:
+    // http://www.itl.nist.gov/div898/handbook/prc/section2/prc232.htm
+    // Subsequent tests just test our empirically generated values, they
+    // catch regressions, but otherwise aren't worth much.
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         55, 0.05f, 0.01f, 100)), static_cast<RealType>(170));
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         10, 0.05f, 0.01f, 100)), static_cast<RealType>(3493));
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         -55, 0.05f, 0.01f, 100)), static_cast<RealType>(49));
+    BOOST_CHECK_EQUAL(
+       ceil(chi_squared_distribution<RealType>::find_degrees_of_freedom(
+         -10, 0.05f, 0.01f, 100)), static_cast<RealType>(2826));
+
+    check_out_of_range<boost::math::chi_squared_distribution<RealType> >(1); // (All) valid constructor parameter values.
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+  // Check that can generate chi_squared distribution using the two convenience methods:
+  chi_squared_distribution<> mychisqr(8);
+  chi_squared mychisqr2(8);
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS)
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_chi_squared.exe"
+  Running 1 test case...
+  Tolerance for type float is 0.1 %
+  Tolerance for type double is 0.1 %
+  Tolerance for type long double is 0.1 %
+  Tolerance for type class boost::math::concepts::real_concept is 0.1 %
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_classify.cpp b/src/boost/libs/math/test/test_classify.cpp
new file mode 100644
index 000000000..52d2b2d72
--- /dev/null
+++ b/src/boost/libs/math/test/test_classify.cpp
@@ -0,0 +1,313 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <cmath>
+#include <math.h>
+#include <boost/limits.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef _MSC_VER
+#pragma warning(disable: 4127 4146) //  conditional expression is constant
+#endif
+
+const char* method_name(const boost::math::detail::native_tag&)
+{
+   return "Native";
+}
+
+const char* method_name(const boost::math::detail::generic_tag<true>&)
+{
+   return "Generic (with numeric limits)";
+}
+
+const char* method_name(const boost::math::detail::generic_tag<false>&)
+{
+   return "Generic (without numeric limits)";
+}
+
+const char* method_name(const boost::math::detail::ieee_tag&)
+{
+   return "IEEE std";
+}
+
+const char* method_name(const boost::math::detail::ieee_copy_all_bits_tag&)
+{
+   return "IEEE std, copy all bits";
+}
+
+const char* method_name(const boost::math::detail::ieee_copy_leading_bits_tag&)
+{
+   return "IEEE std, copy leading bits";
+}
+
+template <class T>
+void test_classify(T t, const char* type)
+{
+   std::cout << "Testing type " << type << std::endl;
+
+   typedef typename boost::math::detail::fp_traits<T>::type traits;
+   typedef typename traits::method method;
+
+   std::cout << "Evaluation method = " << method_name(method()) << std::endl;   
+
+   t = 2;
+   T u = 2;
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
+   if(std::numeric_limits<T>::is_specialized)
+   {
+      t = (std::numeric_limits<T>::max)();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
+      t = (std::numeric_limits<T>::min)();
+      if(t != 0)
+      {
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
+         if(!std::numeric_limits<T>::is_integer)
+         {
+            BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
+            BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+            BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+            BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
+            BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+         }
+      }
+   }
+   if(std::numeric_limits<T>::has_denorm)
+   {
+      t = (std::numeric_limits<T>::min)();
+      t /= 2;
+      if(t != 0)
+      {
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+      }
+      t = std::numeric_limits<T>::denorm_min();
+      if((t != 0) && (t < (std::numeric_limits<T>::min)()))
+      {
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+         BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+      }
+   }
+   else
+   {
+      std::cout << "Denormalised forms not tested" << std::endl;
+   }
+   t = 0;
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   t /= -u; // create minus zero if it exists
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+   BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   // infinity:
+   if(std::numeric_limits<T>::has_infinity) 
+   {
+      // At least one std::numeric_limits<T>::infinity)() returns zero 
+      // (Compaq true64 cxx), hence the check.
+      t = (std::numeric_limits<T>::infinity)();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+#if !defined(__BORLANDC__) && !(defined(__DECCXX) && !defined(_IEEE_FP))
+      // divide by zero on Borland triggers a C++ exception :-(
+      // divide by zero on Compaq CXX triggers a C style signal :-(
+      t = 2;
+      u = 0;
+      t /= u;
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+      t = -2;
+      t /= u;
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+#else
+      std::cout << "Infinities from divide by zero not tested" << std::endl;
+#endif
+   }
+   else
+   {
+      std::cout << "Infinity not tested" << std::endl;
+   }
+#ifndef __BORLANDC__
+   // NaN's:
+   // Note that Borland throws an exception if we even try to obtain a Nan
+   // by calling std::numeric_limits<T>::quiet_NaN() !!!!!!!
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      t = std::numeric_limits<T>::quiet_NaN();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   }
+   else
+   {
+      std::cout << "Quiet NaN's not tested" << std::endl;
+   }
+   if(std::numeric_limits<T>::has_signaling_NaN)
+   {
+      t = std::numeric_limits<T>::signaling_NaN();
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
+      BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
+   }
+   else
+   {
+      std::cout << "Signaling NaN's not tested" << std::endl;
+   }
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // start by printing some information:
+#ifdef isnan
+   std::cout << "Platform has isnan macro." << std::endl;
+#endif
+#ifdef fpclassify
+   std::cout << "Platform has fpclassify macro." << std::endl;
+#endif
+#ifdef BOOST_HAS_FPCLASSIFY
+   std::cout << "Platform has FP_NORMAL macro." << std::endl;
+#endif
+   std::cout << "FP_ZERO: " << (int)FP_ZERO << std::endl;
+   std::cout << "FP_NORMAL: " << (int)FP_NORMAL << std::endl;
+   std::cout << "FP_INFINITE: " << (int)FP_INFINITE << std::endl;
+   std::cout << "FP_NAN: " << (int)FP_NAN << std::endl;
+   std::cout << "FP_SUBNORMAL: " << (int)FP_SUBNORMAL << std::endl;
+
+   // then run the tests:
+   test_classify(float(0), "float");
+   test_classify(double(0), "double");
+   // long double support for fpclassify is considered "core" so we always test it
+   // even when long double support is turned off via BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_classify((long double)(0), "long double");
+   test_classify((boost::math::concepts::real_concept)(0), "real_concept");
+
+   // We should test with integer types as well:
+   test_classify(int(0), "int");
+   test_classify(unsigned(0), "unsigned");
+}
+
+/*
+Autorun "i:\Boost-sandbox\math_toolkit\libs\math\test\MSVC80\debug\test_classify.exe"
+Running 1 test case...
+FP_ZERO: 0
+FP_NORMAL: 1
+FP_INFINITE: 2
+FP_NAN: 3
+FP_SUBNORMAL: 4
+Testing type float
+Testing type double
+Testing type long double
+Testing type real_concept
+Denormalised forms not tested
+Infinity not tested
+Quiet NaN's not tested
+Signaling NaN's not tested
+Test suite "Test Program" passed with:
+  79 assertions out of 79 passed
+  1 test case out of 1 passed
+  Test case "test_main_caller( argc, argv )" passed with:
+    79 assertions out of 79 passed
+
+*/
diff --git a/src/boost/libs/math/test/test_constant_generate.cpp b/src/boost/libs/math/test/test_constant_generate.cpp
new file mode 100644
index 000000000..53f1c6a73
--- /dev/null
+++ b/src/boost/libs/math/test/test_constant_generate.cpp
@@ -0,0 +1,192 @@
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#  pragma warning (disable : 4100) // assignment operator could not be generated.
+#  pragma warning (disable : 4996) //To disable this warning, use -D_SCL_SECURE_NO_WARNINGS.
+#endif
+
+// To add new constants, add a function that calculates the value of the constant to
+// boost/math/constants/calculate_constants.hpp
+// See http://www.boost.org/doc/libs/release/libs/math/doc/html/math_toolkit/new_const.html
+
+#include <boost/math/constants/generate.hpp> // Requires /modular-boost/libs/math/include_private in search path.
+#include <boost/math/constants/calculate_constants.hpp>
+
+int main()
+{
+  // Rational fractions.
+   BOOST_CONSTANTS_GENERATE(half);
+   BOOST_CONSTANTS_GENERATE(third);
+   BOOST_CONSTANTS_GENERATE(twothirds);
+   BOOST_CONSTANTS_GENERATE(two_thirds);
+   BOOST_CONSTANTS_GENERATE(three_quarters);
+   BOOST_CONSTANTS_GENERATE(sixth);
+   // two and related.
+   BOOST_CONSTANTS_GENERATE(root_two);
+   BOOST_CONSTANTS_GENERATE(root_three);
+   BOOST_CONSTANTS_GENERATE(half_root_two);
+   BOOST_CONSTANTS_GENERATE(ln_two);
+   BOOST_CONSTANTS_GENERATE(ln_ten);
+   BOOST_CONSTANTS_GENERATE(ln_ln_two);
+   BOOST_CONSTANTS_GENERATE(root_ln_four);
+   BOOST_CONSTANTS_GENERATE(one_div_root_two);
+   // pi and related.
+   BOOST_CONSTANTS_GENERATE(pi);
+   BOOST_CONSTANTS_GENERATE(half_pi);
+   BOOST_CONSTANTS_GENERATE(third_pi);
+   BOOST_CONSTANTS_GENERATE(sixth_pi);
+   BOOST_CONSTANTS_GENERATE(two_pi);
+   BOOST_CONSTANTS_GENERATE(two_thirds_pi);
+   BOOST_CONSTANTS_GENERATE(three_quarters_pi);
+   BOOST_CONSTANTS_GENERATE(four_thirds_pi);
+   BOOST_CONSTANTS_GENERATE(one_div_two_pi);
+   BOOST_CONSTANTS_GENERATE(one_div_root_two_pi);
+   BOOST_CONSTANTS_GENERATE(root_pi);
+   BOOST_CONSTANTS_GENERATE(root_half_pi);
+   BOOST_CONSTANTS_GENERATE(root_two_pi);
+   BOOST_CONSTANTS_GENERATE(log_root_two_pi);
+   BOOST_CONSTANTS_GENERATE(two_div_pi);
+   BOOST_CONSTANTS_GENERATE(root_two_div_pi);
+
+   BOOST_CONSTANTS_GENERATE(one_div_root_pi);
+   BOOST_CONSTANTS_GENERATE(root_one_div_pi);
+   BOOST_CONSTANTS_GENERATE(pi_minus_three);
+   BOOST_CONSTANTS_GENERATE(four_minus_pi);
+   //BOOST_CONSTANTS_GENERATE(pow23_four_minus_pi);
+
+   BOOST_CONSTANTS_GENERATE(pi_pow_e);
+   BOOST_CONSTANTS_GENERATE(pi_sqr);
+   BOOST_CONSTANTS_GENERATE(pi_sqr_div_six);
+   BOOST_CONSTANTS_GENERATE(pi_cubed);
+   BOOST_CONSTANTS_GENERATE(cbrt_pi);
+   BOOST_CONSTANTS_GENERATE(one_div_cbrt_pi);
+
+   // Euler's e and related.
+   BOOST_CONSTANTS_GENERATE(e);
+   BOOST_CONSTANTS_GENERATE(exp_minus_half);
+   BOOST_CONSTANTS_GENERATE(exp_minus_one);
+
+   BOOST_CONSTANTS_GENERATE(e_pow_pi);
+   BOOST_CONSTANTS_GENERATE(root_e);
+   BOOST_CONSTANTS_GENERATE(log10_e);
+   BOOST_CONSTANTS_GENERATE(one_div_log10_e);
+
+   // Trigonometric
+   BOOST_CONSTANTS_GENERATE(degree);
+   BOOST_CONSTANTS_GENERATE(radian);
+   BOOST_CONSTANTS_GENERATE(sin_one);
+   BOOST_CONSTANTS_GENERATE(cos_one);
+   BOOST_CONSTANTS_GENERATE(sinh_one);
+   BOOST_CONSTANTS_GENERATE(cosh_one);
+
+   // Phi
+   BOOST_CONSTANTS_GENERATE(phi);
+   BOOST_CONSTANTS_GENERATE(ln_phi);
+   BOOST_CONSTANTS_GENERATE(one_div_ln_phi);
+   
+// Euler's Gamma constant http://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant
+   // gamma name deprecated - see euler above
+
+      BOOST_CONSTANTS_GENERATE(euler);
+      BOOST_CONSTANTS_GENERATE(one_div_euler);
+      BOOST_CONSTANTS_GENERATE(euler_sqr);
+ //  BOOST_CONSTANTS_GENERATE(gamma);
+ //  BOOST_CONSTANTS_GENERATE(one_div_gamma);
+ //  BOOST_CONSTANTS_GENERATE(gamma_sqr);
+
+// zeta
+   BOOST_CONSTANTS_GENERATE(zeta_two);
+   BOOST_CONSTANTS_GENERATE(zeta_three);
+   BOOST_CONSTANTS_GENERATE(catalan);
+   BOOST_CONSTANTS_GENERATE(glaisher);
+   BOOST_CONSTANTS_GENERATE(khinchin);
+   BOOST_CONSTANTS_GENERATE(extreme_value_skewness);
+   BOOST_CONSTANTS_GENERATE(rayleigh_skewness);
+   BOOST_CONSTANTS_GENERATE(rayleigh_kurtosis);
+   BOOST_CONSTANTS_GENERATE(rayleigh_kurtosis_excess);
+   
+   return 0;
+}
+
+/*
+
+Output
+------ Build started: Project: test_constant_generate, Configuration: Release Win32 ------
+  test_constant_generate.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_constant_generate.exe
+  BOOST_DEFINE_MATH_CONSTANT(half, 0.5e0, "0.5e0");
+  BOOST_DEFINE_MATH_CONSTANT(third, 0.333333333333333333333333333333333333e0, "0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333e0");
+  BOOST_DEFINE_MATH_CONSTANT(twothirds, 0.666666666666666666666666666666666666e0, "0.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_thirds, 0.666666666666666666666666666666666666e0, "0.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667e0");
+  BOOST_DEFINE_MATH_CONSTANT(three_quarters, 0.75e0, "0.75e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_two, 1.414213562373095048801688724209698078e0, "1.41421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157274e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_three, 1.732050807568877293527446341505872366e0, "1.73205080756887729352744634150587236694280525381038062805580697945193301690880003708114618675724857568e0");
+  BOOST_DEFINE_MATH_CONSTANT(half_root_two, 0.707106781186547524400844362104849039e0, "0.707106781186547524400844362104849039284835937688474036588339868995366239231053519425193767163820786368e0");
+  BOOST_DEFINE_MATH_CONSTANT(ln_two, 0.693147180559945309417232121458176568e0, "0.693147180559945309417232121458176568075500134360255254120680009493393621969694715605863326996418687542e0");
+  BOOST_DEFINE_MATH_CONSTANT(ln_ln_two, -0.366512920581664327012439158232669469e0, "-0.366512920581664327012439158232669469454263447837105263053677713670561615319352738549455822856698908358e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_ln_four, 1.177410022515474691011569326459699637e0, "1.17741002251547469101156932645969963774738568938582053852252575650002658854698492680841813836877081107e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_root_two, 0.707106781186547524400844362104849039e0, "0.707106781186547524400844362104849039284835937688474036588339868995366239231053519425193767163820786368e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi, 3.141592653589793238462643383279502884e0, "3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798e0");
+  BOOST_DEFINE_MATH_CONSTANT(half_pi, 1.570796326794896619231321691639751442e0, "1.57079632679489661923132169163975144209858469968755291048747229615390820314310449931401741267105853399e0");
+  BOOST_DEFINE_MATH_CONSTANT(third_pi, 1.047197551196597746154214461093167628e0, "1.04719755119659774615421446109316762806572313312503527365831486410260546876206966620934494178070568933e0");
+  BOOST_DEFINE_MATH_CONSTANT(sixth_pi, 0.523598775598298873077107230546583814e0, "0.523598775598298873077107230546583814032861566562517636829157432051302734381034833104672470890352844664e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_pi, 6.283185307179586476925286766559005768e0, "6.28318530717958647692528676655900576839433879875021164194988918461563281257241799725606965068423413596e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_thirds_pi, 2.094395102393195492308428922186335256e0, "2.09439510239319549230842892218633525613144626625007054731662972820521093752413933241868988356141137865e0");
+  BOOST_DEFINE_MATH_CONSTANT(three_quarters_pi, 2.356194490192344928846982537459627163e0, "2.35619449019234492884698253745962716314787704953132936573120844423086230471465674897102611900658780099e0");
+  BOOST_DEFINE_MATH_CONSTANT(four_thirds_pi, 4.188790204786390984616857844372670512e0, "4.18879020478639098461685784437267051226289253250014109463325945641042187504827866483737976712282275731e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_two_pi, 0.159154943091895335768883763372514362e0, "0.159154943091895335768883763372514362034459645740456448747667344058896797634226535090113802766253085956e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_root_two_pi, 0.398942280401432677939946059934381868e0, "0.39894228040143267793994605993438186847585863116493465766592582967065792589930183850125233390730693643e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_pi, 1.772453850905516027298167483341145182e0, "1.77245385090551602729816748334114518279754945612238712821380778985291128459103218137495065673854466542e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_half_pi, 1.253314137315500251207882642405522626e0, "1.25331413731550025120788264240552262650349337030496915831496178817114682730392098747329791918902863306e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_two_pi, 2.506628274631000502415765284811045253e0, "2.50662827463100050241576528481104525300698674060993831662992357634229365460784197494659583837805726612e0");
+  BOOST_DEFINE_MATH_CONSTANT(two_div_pi, 0.636619772367581343075535053490057448e0, "0.636619772367581343075535053490057448137838582961825794990669376235587190536906140360455211065012343824e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_two_div_pi, 0.797884560802865355879892119868763736e0, "0.797884560802865355879892119868763736951717262329869315331851659341315851798603677002504667814613872861e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_root_pi, 0.564189583547756286948079451560772585e0, "0.564189583547756286948079451560772585844050629328998856844085721710642468441493414486743660202107363443e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_one_div_pi, 0.564189583547756286948079451560772585e0, "0.564189583547756286948079451560772585844050629328998856844085721710642468441493414486743660202107363443e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_minus_three, 0.141592653589793238462643383279502884e0, "0.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982e0");
+  BOOST_DEFINE_MATH_CONSTANT(four_minus_pi, 0.858407346410206761537356616720497115e0, "0.858407346410206761537356616720497115802830600624894179025055407692183593713791001371965174657882932018e0");
+  BOOST_DEFINE_MATH_CONSTANT(pow23_four_minus_pi, 0.795316767371597544348395335056806580e0, "0.795316767371597544348395335056806580727639173327713205445302234388856268267518187590758006888600828437e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_pow_e, 22.459157718361045473427152204543735027e0, "22.4591577183610454734271522045437350275893151339966922492030025540669260403991179123185197527271430315e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_sqr, 9.869604401089358618834490999876151135e0, "9.86960440108935861883449099987615113531369940724079062641334937622004482241920524300177340371855223182e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_sqr_div_six, 1.644934066848226436472415166646025189e0, "1.6449340668482264364724151666460251892189499012067984377355582293700074704032008738336289006197587053e0");
+  BOOST_DEFINE_MATH_CONSTANT(pi_cubed, 31.006276680299820175476315067101395202e0, "31.006276680299820175476315067101395202225288565885107694144538103806394917465706037566701032602886193e0");
+  BOOST_DEFINE_MATH_CONSTANT(cbrt_pi, 1.464591887561523263020142527263790391e0, "1.4645918875615232630201425272637903917385968556279371743572559371383936497982862661456820678203538209e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_cbrt_pi, 0.682784063255295681467020833158164598e0, "0.682784063255295681467020833158164598108367515632448804042681583118899226433403918237673501922595519866e0");
+  BOOST_DEFINE_MATH_CONSTANT(e, 2.718281828459045235360287471352662497e0, "2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642743e0");
+  BOOST_DEFINE_MATH_CONSTANT(exp_minus_half, 0.606530659712633423603799534991180453e0, "0.606530659712633423603799534991180453441918135487186955682892158735056519413748423998647611507989456026e0");
+  BOOST_DEFINE_MATH_CONSTANT(e_pow_pi, 23.140692632779269005729086367948547380e0, "23.1406926327792690057290863679485473802661062426002119934450464095243423506904527835169719970675492197e0");
+  BOOST_DEFINE_MATH_CONSTANT(root_e, 1.648721270700128146848650787814163571e0, "1.648721270700128146848650787814163571653776100710148011575079311640661021194215608632776520056366643e0");
+  BOOST_DEFINE_MATH_CONSTANT(log10_e, 0.434294481903251827651128918916605082e0, "0.434294481903251827651128918916605082294397005803666566114453783165864649208870774729224949338431748319e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_log10_e, 2.302585092994045684017991454684364207e0, "2.30258509299404568401799145468436420760110148862877297603332790096757260967735248023599720508959829834e0");
+  BOOST_DEFINE_MATH_CONSTANT(degree, 0.017453292519943295769236907684886127e0, "0.0174532925199432957692369076848861271344287188854172545609719144017100911460344944368224156963450948221e0");
+  BOOST_DEFINE_MATH_CONSTANT(radian, 57.295779513082320876798154814105170332e0, "57.2957795130823208767981548141051703324054724665643215491602438612028471483215526324409689958511109442e0");
+  BOOST_DEFINE_MATH_CONSTANT(sin_one, 0.841470984807896506652502321630298999e0, "0.841470984807896506652502321630298999622563060798371065672751709991910404391239668948639743543052695854e0");
+  BOOST_DEFINE_MATH_CONSTANT(cos_one, 0.540302305868139717400936607442976603e0, "0.540302305868139717400936607442976603732310420617922227670097255381100394774471764517951856087183089344e0");
+  BOOST_DEFINE_MATH_CONSTANT(sinh_one, 1.175201193643801456882381850595600815e0, "1.17520119364380145688238185059560081515571798133409587022956541301330756730432389560711745208962339184e0");
+  BOOST_DEFINE_MATH_CONSTANT(cosh_one, 1.543080634815243778477905620757061682e0, "1.54308063481524377847790562075706168260152911236586370473740221471076906304922369896426472643554303559e0");
+  BOOST_DEFINE_MATH_CONSTANT(phi, 1.618033988749894848204586834365638117e0, "1.61803398874989484820458683436563811772030917980576286213544862270526046281890244970720720418939113748e0");
+  BOOST_DEFINE_MATH_CONSTANT(ln_phi, 0.481211825059603447497758913424368423e0, "0.481211825059603447497758913424368423135184334385660519661018168840163867608221774412009429122723474997e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_ln_phi, 2.078086921235027537601322606117795767e0, "2.07808692123502753760132260611779576774219226778328348027813992191974386928553540901445615414453604822e0");
+  BOOST_DEFINE_MATH_CONSTANT(euler, 0.577215664901532860606512090082402431e0, "0.577215664901532860606512090082402431042159335939923598805767234884867726777664670936947063291746749515e0");
+  BOOST_DEFINE_MATH_CONSTANT(one_div_euler, 1.732454714600633473583025315860829681e0, "1.73245471460063347358302531586082968115577655226680502204843613287065531408655243008832840219409928068e0");
+  BOOST_DEFINE_MATH_CONSTANT(euler_sqr, 0.333177923807718674318376136355244226e0, "0.333177923807718674318376136355244226659417140249629743150833338002265793695756669661263268631715977303e0");
+  BOOST_DEFINE_MATH_CONSTANT(zeta_two, 1.644934066848226436472415166646025189e0, "1.6449340668482264364724151666460251892189499012067984377355582293700074704032008738336289006197587053e0");
+  BOOST_DEFINE_MATH_CONSTANT(zeta_three, 1.202056903159594285399738161511449990e0, "1.20205690315959428539973816151144999076498629234049888179227155534183820578631309018645587360933525815e0");
+  BOOST_DEFINE_MATH_CONSTANT(catalan, 0.915965594177219015054603514932384110e0, "0.915965594177219015054603514932384110774149374281672134266498119621763019776254769479356512926115106249e0");
+  BOOST_DEFINE_MATH_CONSTANT(glaisher, 1.282427129100622636875342568869791727e0, "1.28242712910062263687534256886979172776768892732500119206374002174040630885882646112973649195820237439e0");
+  BOOST_DEFINE_MATH_CONSTANT(khinchin, 2.685452001065306445309714835481795693e0, "2.685452001065306445309714835481795693820382293994462953051152345557218859537152002801141174931847698e0");
+  BOOST_DEFINE_MATH_CONSTANT(extreme_value_skewness, 1.139547099404648657492793019389846112e0, "1.13954709940464865749279301938984611208759979583655182472165571008524800770607068570718754688693851502e0");
+  BOOST_DEFINE_MATH_CONSTANT(rayleigh_skewness, 0.631110657818937138191899351544227779e0, "0.631110657818937138191899351544227779844042203134719497658094585692926819617473725459905027032537306794e0");
+  BOOST_DEFINE_MATH_CONSTANT(rayleigh_kurtosis, 3.245089300687638062848660410619754415e0, "3.24508930068763806284866041061975441541706673178920936177133764493367904540874159051490619368679348977e0");
+  BOOST_DEFINE_MATH_CONSTANT(rayleigh_kurtosis_excess, 0.245089300687638062848660410619754415e0, "0.245089300687638062848660410619754415417066731789209361771337644933679045408741590514906193686793489774e0");
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_constants.cpp b/src/boost/libs/math/test/test_constants.cpp
new file mode 100644
index 000000000..8f188abce
--- /dev/null
+++ b/src/boost/libs/math/test/test_constants.cpp
@@ -0,0 +1,854 @@
+// Copyright Paul Bristow 2007, 2011.
+// Copyright John Maddock 2006, 2011.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_constants.cpp
+
+// Check values of constants are drawn from an independent source, or calculated.
+// Both must be at long double precision for the most precise compilers floating-point implementation.
+// So all values use static_cast<RealType>() of values at least 40 decimal digits
+// and that have suffix L to ensure floating-point type is long double.
+
+// Steve Moshier's command interpreter V1.3 100 digits calculator used for some values.
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/utility/enable_if.hpp>
+
+// Check at compile time that the construction method for constants of type float, is "construct from a float", or "construct from a double", ...
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<float, boost::math::policies::policy<> >::type, boost::integral_constant<int, boost::math::constants::construct_from_float> >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<double, boost::math::policies::policy<> >::type, boost::integral_constant<int, boost::math::constants::construct_from_double> >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<long double, boost::math::policies::policy<> >::type, boost::integral_constant<int, (sizeof(double) == sizeof(long double) ? boost::math::constants::construct_from_double : boost::math::constants::construct_from_long_double)> >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<boost::math::concepts::real_concept, boost::math::policies::policy<> >::type, boost::integral_constant<int, 0> >::value));
+
+// Policy to set precision at maximum possible using long double.
+typedef boost::math::policies::policy<boost::math::policies::digits2<std::numeric_limits<long double>::digits> > real_concept_policy_1;
+// Policy with precision +2 (could be any reasonable value),
+// forces the precision of the policy to be greater than
+// that of a long double, and therefore triggers different code (construct from string).
+#ifdef BOOST_MATH_USE_FLOAT128
+typedef boost::math::policies::policy<boost::math::policies::digits2<115> > real_concept_policy_2;
+#else
+typedef boost::math::policies::policy<boost::math::policies::digits2<std::numeric_limits<long double>::digits + 2> > real_concept_policy_2;
+#endif
+// Policy with precision greater than the string representations, forces computation of values (i.e. different code path):
+typedef boost::math::policies::policy<boost::math::policies::digits2<400> > real_concept_policy_3;
+
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<boost::math::concepts::real_concept, real_concept_policy_1 >::type, boost::integral_constant<int, (sizeof(double) == sizeof(long double) ? boost::math::constants::construct_from_double : boost::math::constants::construct_from_long_double) > >::value));
+BOOST_STATIC_ASSERT((boost::is_same<boost::math::constants::construction_traits<boost::math::concepts::real_concept, real_concept_policy_2 >::type, boost::integral_constant<int, boost::math::constants::construct_from_string> >::value));
+BOOST_STATIC_ASSERT((boost::math::constants::construction_traits<boost::math::concepts::real_concept, real_concept_policy_3>::type::value >= 5));
+
+
+// We need to declare a conceptual type whose precision is unknown at
+// compile time, and is so enormous when checked at runtime,
+// that we're forced to calculate the values of the constants ourselves.
+
+namespace boost{ namespace math{ namespace concepts{
+
+class big_real_concept : public real_concept
+{
+public:
+   big_real_concept() {}
+   template <class T>
+   big_real_concept(const T& t, typename enable_if<is_convertible<T, real_concept> >::type* = 0) : real_concept(t) {}
+};
+
+inline int itrunc(const big_real_concept& val)
+{
+   BOOST_MATH_STD_USING
+   return itrunc(val.value());
+}
+
+}
+namespace tools{
+
+template <>
+inline BOOST_MATH_CONSTEXPR int digits<concepts::big_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) BOOST_NOEXCEPT
+{
+   return 2 * boost::math::constants::max_string_digits;
+}
+
+}}}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks for constants,
+   // where template parameter RealType can be float, double, long double,
+   // or real_concept, a prototype for user-defined floating-point types.
+
+   // Parameter RealType is only used to communicate the RealType,
+  //  and is an arbitrary zero for all tests.
+   //
+   // Actual tolerance is never really smaller than epsilon for long double,
+   // because it's just a wrapper around a long double,
+   // so although it's pretending to be something else (in order to exercise our code),
+   // it can never really have precision greater than a long double.
+
+  typedef typename boost::math::constants::construction_traits<RealType, boost::math::policies::policy<> >::type construction_type;
+   RealType tolerance = (std::max)(static_cast<RealType>(boost::math::tools::epsilon<long double>()), boost::math::tools::epsilon<RealType>()) * 2;  // double
+   if((construction_type::value == 0) && (boost::math::tools::digits<RealType>() > boost::math::constants::max_string_digits))
+      tolerance *= 30;  // Allow a little extra tolerance
+   // for calculated (perhaps using a series representation) constants.
+   std::cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << std::endl;
+
+   //typedef typename boost::math::policies::precision<RealType, boost::math::policies::policy<> >::type t1;
+   // A precision of zero means we don't know what the precision of this type is until runtime.
+   //std::cout << "Precision for type " << typeid(RealType).name()  << " is " << t1::value << "." << std::endl;
+
+   using namespace boost::math::constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), root_half_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), root_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.5L, half<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, euler<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), root_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.0L), ln_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(10.0L), ln_ten<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, pi_minus_three<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, four_minus_pi<RealType>(), tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), pi_pow_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), cbrt_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), exp_minus_half<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), e_pow_pi<RealType>(), tolerance);
+
+
+#else // Only double, so no suffix L.
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), pi_pow_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), cbrt_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), exp_minus_half<RealType>(), tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, third<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, two_thirds<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.75L, three_quarters<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.1666666666666666666666666666666666666667L, sixth<RealType>(), tolerance);
+
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), root_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), root_three<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, half_root_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.L), ln_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), one_div_root_two<RealType>(), tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, half_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/4, quarter_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, third_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/4, quarter_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, sixth_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, three_quarters_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, four_thirds_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (3.14159265358979323846264338327950288419716939937510L), one_div_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / (3.14159265358979323846264338327950288419716939937510L), two_div_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), one_div_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), root_half_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), root_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), one_div_root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / sqrt(3.14159265358979323846264338327950288419716939937510L), two_div_root_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), one_div_root_two_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L), root_one_div_pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L - 3.L, pi_minus_three<RealType>(), tolerance * 4 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, four_minus_pi<RealType>(), tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), pi_pow_e<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, pi_sqr<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L/6, pi_sqr_div_six<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, pi_cubed<RealType>(), tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, cbrt_pi<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi<RealType>() * cbrt_pi<RealType>() * cbrt_pi<RealType>(), pi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1)/cbrt_pi<RealType>(), one_div_cbrt_pi<RealType>(), tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);
+   //BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), exp_minus_half<RealType>(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(exp(-1.L), exp_minus_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow(e<RealType>(), pi<RealType>()), e_pow_pi<RealType>(), tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e<RealType>()), root_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e<RealType>()), log10_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/log10(e<RealType>()), one_div_log10_e<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1/ln_two<RealType>()), log2_e<RealType>(), tolerance);
+
+   // Trigonometric
+   BOOST_CHECK_CLOSE_FRACTION(pi<RealType>()/180, degree<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi<RealType>(), radian<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.L), sin_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.L), cos_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.L), sinh_one<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.L), cosh_one<RealType>(), tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.L + sqrt(5.L)) /2, phi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.L + sqrt(5.L)) /2), ln_phi<RealType>(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.L / log((1.L + sqrt(5.L)) /2), one_div_ln_phi<RealType>(), tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L, euler<RealType>(), tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.L/ 0.57721566490153286060651209008240243104215933593992L, one_div_euler<RealType>(), tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L * 0.57721566490153286060651209008240243104215933593992L, euler_sqr<RealType>(), tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206L, zeta_two<RealType>(), tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227L, zeta_three<RealType>(), tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, catalan<RealType>(), tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, extreme_value_skewness<RealType>(), tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, rayleigh_skewness<RealType>(), tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess<RealType>(), tolerance * 2);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, khinchin<RealType>(), tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, glaisher<RealType>(), tolerance ); // https://oeis.org/A074962/constant
+
+   //
+   // Last of all come the test cases that behave differently if we're calculating the constants on the fly:
+   //
+   if(boost::math::tools::digits<RealType>() > boost::math::constants::max_string_digits)
+   {
+      // This suffers from cancellation error, so increased tolerance:
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance * 3);
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance * 3);
+   }
+   else
+   {
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+void test_float_spots()
+{
+   // Basic sanity checks for constants in boost::math::float_constants::
+   // for example: boost::math::float_constants::pi
+   // (rather than boost::math::constants::pi<float>() ).
+
+   float tolerance = boost::math::tools::epsilon<float>() * 2;
+
+   using namespace boost::math::float_constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F/2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F * 2)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.5), half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.57721566490153286060651209008240243104259335F), euler, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.0F)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.0F)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1)/3, third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2)/3, twothirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.14159265358979323846264338327950288419716939937510F), pi_minus_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4.F - 3.14159265358979323846264338327950288419716939937510F), four_minus_pi, tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 2.71828182845904523536028747135266249775724709369995F)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 0.33333333333333333333333333333333333333333333333333F)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5F)), exp_minus_half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow(2.71828182845904523536028747135266249775724709369995F, 3.14159265358979323846264338327950288419716939937510F)), e_pow_pi, tolerance);
+
+
+#else // Only double, so no suffix F.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5)), exp_minus_half, tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.333333333333333333333333333333333333333F), third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.666666666666666666666666666666666666667F), two_thirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.75F), three_quarters, tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.F)), root_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)/2), half_root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.F)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1/sqrt(2.0F)), one_div_root_two, tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/2), half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/4), quarter_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/3), third_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/6), sixth_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 * 3.14159265358979323846264338327950288419716939937510F), two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3 * 3.14159265358979323846264338327950288419716939937510F / 4), three_quarters_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4 * 3.14159265358979323846264338327950288419716939937510F / 3), four_thirds_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / (3.14159265358979323846264338327950288419716939937510F)), one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 / (3.14159265358979323846264338327950288419716939937510F)), two_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / (2 * 3.14159265358979323846264338327950288419716939937510F)), one_div_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F / 2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510F)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / sqrt(3.14159265358979323846264338327950288419716939937510F)), one_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 / sqrt(3.14159265358979323846264338327950288419716939937510F)), two_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510F)), one_div_root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510F)), root_one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510L - 3.L), pi_minus_three, tolerance * 2 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 2.71828182845904523536028747135266249775724709369995F)), pi_pow_e, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), pi_sqr, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F/6), pi_sqr_div_six, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), pi_cubed, tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), cbrt_pi, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((static_cast<float>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5F)), exp_minus_half, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e), root_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e), log10_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1)/log10(e), one_div_log10_e, tolerance);
+
+   // Trigonometric
+   BOOST_CHECK_CLOSE_FRACTION(pi/180, degree, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi, radian, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.F), sin_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.F), cos_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.F), sinh_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.F), cosh_one, tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.F + sqrt(5.F)) /2, phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.F + sqrt(5.F)) /2), ln_phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.F / log((1.F + sqrt(5.F)) /2), one_div_ln_phi, tolerance);
+
+   // Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992F, euler, tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.F/ 0.57721566490153286060651209008240243104215933593992F, one_div_euler, tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992F * 0.57721566490153286060651209008240243104215933593992F, euler_sqr, tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206F, zeta_two, tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227F, zeta_three, tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213F, catalan, tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150F, extreme_value_skewness, tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067F, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01F, rayleigh_kurtosis_excess, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515F, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011F, glaisher, tolerance ); // https://oeis.org/A074962/constant
+
+} // template <class RealType>void test_spots(RealType)
+
+void test_double_spots()
+{
+   // Basic sanity checks for constants in boost::math::double_constants::
+   // for example: boost::math::double_constants::pi
+   // (rather than boost::math::constants::pi<double>() ).
+
+   double tolerance = boost::math::tools::epsilon<double>() * 2;
+
+   using namespace boost::math::double_constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510/2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 * 2)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.5), half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.57721566490153286060651209008240243104259335), euler, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.0)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.0)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1)/3, third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2)/3, twothirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.14159265358979323846264338327950288419716939937510), pi_minus_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4. - 3.14159265358979323846264338327950288419716939937510), four_minus_pi, tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow(2.71828182845904523536028747135266249775724709369995, 3.14159265358979323846264338327950288419716939937510)), e_pow_pi, tolerance);
+
+
+#else // Only double, so no suffix .
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.333333333333333333333333333333333333333), third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.666666666666666666666666666666666666667), two_thirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.75), three_quarters, tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.)), root_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)/2), half_root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1/sqrt(2.0)), one_div_root_two, tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/2), half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/4), quarter_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/3), third_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/6), sixth_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 * 3.14159265358979323846264338327950288419716939937510), two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3 * 3.14159265358979323846264338327950288419716939937510 / 4), three_quarters_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4 * 3.14159265358979323846264338327950288419716939937510 / 3), four_thirds_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / (3.14159265358979323846264338327950288419716939937510)), one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 / (3.14159265358979323846264338327950288419716939937510)), two_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510)), one_div_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 / 2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510)), one_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 / sqrt(3.14159265358979323846264338327950288419716939937510)), two_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510)), one_div_root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510)), root_one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 - 3.), pi_minus_three, tolerance * 2 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4. - 3.14159265358979323846264338327950288419716939937510), four_minus_pi, tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), pi_sqr, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510/6), pi_sqr_div_six, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), pi_cubed, tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), cbrt_pi, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((static_cast<double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e), root_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e), log10_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1)/log10(e), one_div_log10_e, tolerance);
+
+   // Trigonometric
+   BOOST_CHECK_CLOSE_FRACTION(pi/180, degree, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi, radian, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.), sin_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.), cos_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.), sinh_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.), cosh_one, tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1. + sqrt(5.)) /2, phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1. + sqrt(5.)) /2), ln_phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1. / log((1. + sqrt(5.)) /2), one_div_ln_phi, tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992, euler, tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1./ 0.57721566490153286060651209008240243104215933593992, one_div_euler, tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992 * 0.57721566490153286060651209008240243104215933593992, euler_sqr, tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206, zeta_two, tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227, zeta_three, tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213, catalan, tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150, extreme_value_skewness, tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01, rayleigh_kurtosis_excess, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011, glaisher, tolerance ); // https://oeis.org/A074962/constant
+
+} // template <class RealType>void test_spots(RealType)
+
+void test_long_double_spots()
+{
+   // Basic sanity checks for constants in boost::math::long double_constants::
+   // for example: boost::math::long_double_constants::pi
+   // (rather than boost::math::constants::pi<long double>() ).
+
+  // All constants are tested here using at least long double precision
+  // with independent calculated or listed values,
+  // or calculations using long double (sometime a little less accurate).
+
+   long double tolerance = boost::math::tools::epsilon<long double>() * 2;
+
+   using namespace boost::math::long_double_constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L/2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L * 2)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.5), half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.57721566490153286060651209008240243104259335L), euler, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.0L)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.0L)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5L)), exp_minus_half, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L)), e_pow_pi, tolerance);
+
+
+#else // Only double, so no suffix L.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5)), exp_minus_half, tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.333333333333333333333333333333333333333L), third, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.666666666666666666666666666666666666667L), two_thirds, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.75L), three_quarters, tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)), root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.L)), root_three, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)/2), half_root_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.L)), ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1/sqrt(2.0L)), one_div_root_two, tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/2), half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/4), quarter_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/3), third_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/6), sixth_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 * 3.14159265358979323846264338327950288419716939937510L), two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3 * 3.14159265358979323846264338327950288419716939937510L / 4), three_quarters_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4 * 3.14159265358979323846264338327950288419716939937510L / 3), four_thirds_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / (3.14159265358979323846264338327950288419716939937510L)), one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 / (3.14159265358979323846264338327950288419716939937510L)), two_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510L)), one_div_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L / 2)), root_half_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L)), root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510L)), one_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 / sqrt(3.14159265358979323846264338327950288419716939937510L)), two_div_root_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L)), one_div_root_two_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L)), root_one_div_pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L - 3.L), pi_minus_three, tolerance * 4 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L)), pi_pow_e, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), pi_sqr, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L/6), pi_sqr_div_six, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), pi_cubed, tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), cbrt_pi, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((static_cast<long double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(6.366197723675813430755350534900574481378385829618257E-1L), two_div_pi, tolerance * 3);  // 2/pi
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(7.97884560802865355879892119868763736951717262329869E-1L), root_two_div_pi, tolerance * 3);  //  sqrt(2/pi)
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5L)), exp_minus_half, tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e), root_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e), log10_e, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/log10(e), one_div_log10_e, tolerance);
+
+   // Trigonometric
+   BOOST_CHECK_CLOSE_FRACTION(pi/180, degree, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / pi, radian, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.L), sin_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.L), cos_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.L), sinh_one, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.L), cosh_one, tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.L + sqrt(5.L)) /2, phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.L + sqrt(5.L)) /2), ln_phi, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.L / log((1.L + sqrt(5.L)) /2), one_div_ln_phi, tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L, euler, tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.L/ 0.57721566490153286060651209008240243104215933593992L, one_div_euler, tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L * 0.57721566490153286060651209008240243104215933593992L, euler_sqr, tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206L, zeta_two, tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227L, zeta_three, tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, catalan, tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, extreme_value_skewness, tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, glaisher, tolerance ); // https://oeis.org/A074962/constant
+
+} // template <class RealType>void test_spots(RealType)
+
+template <class Policy>
+void test_real_concept_policy(const Policy&)
+{
+   // Basic sanity checks for constants using real_concept.
+   // Parameter Policy is used to control precision.
+
+   using boost::math::concepts::real_concept;
+
+   boost::math::concepts::real_concept tolerance = boost::math::tools::epsilon<real_concept>() * 2;  // double
+   if(Policy::precision_type::value > 200)
+      tolerance *= 50;
+   std::cout << "Tolerance for type " << typeid(real_concept).name()  << " is " << tolerance << "." << std::endl;
+
+   //typedef typename boost::math::policies::precision<boost::math::concepts::real_concept, boost::math::policies::policy<> >::type t1;
+   // A precision of zero means we don't know what the precision of this type is until runtime.
+   //std::cout << "Precision for type " << typeid(boost::math::concepts::real_concept).name()  << " is " << t1::value << "." << std::endl;
+
+   using namespace boost::math::constants;
+   BOOST_MATH_STD_USING
+
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), (root_half_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), (root_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.5, (half<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, (euler<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), (root_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.0L), (ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, (third<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, (twothirds<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, (pi_minus_three<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, (four_minus_pi<real_concept, Policy>)(), tolerance);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), (pi_pow_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), (cbrt_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), (exp_minus_half<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), (e_pow_pi<real_concept, Policy>)(), tolerance);
+
+
+#else // Only double, so no suffix L.
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), (pi_pow_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), (cbrt_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), (exp_minus_half<real_concept, Policy>)(), tolerance);
+#endif
+   // Rational fractions.
+   BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, (third<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, (two_thirds<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(0.75L, (three_quarters<real_concept, Policy>)(), tolerance);
+   // Two and related.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), (root_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), (root_three<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, (half_root_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(2.L), (ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), (one_div_root_two<real_concept, Policy>)(), tolerance);
+
+   // pi.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, (half_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/4, (quarter_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, (third_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, (sixth_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, (two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, (three_quarters_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, (four_thirds_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (3.14159265358979323846264338327950288419716939937510L), (one_div_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / (3.14159265358979323846264338327950288419716939937510L), (two_div_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), (one_div_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), (root_half_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), (root_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), (one_div_root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2 / sqrt(3.14159265358979323846264338327950288419716939937510L), (two_div_root_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), (one_div_root_two_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L), (root_one_div_pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L - 3.L, (pi_minus_three<real_concept, Policy>)(), tolerance * 4 ); // tolerance * 2 because of cancellation loss.
+   BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, (four_minus_pi<real_concept, Policy>)(), tolerance );
+   //
+   BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), (pi_pow_e<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (pi_sqr<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L/6, (pi_sqr_div_six<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (pi_cubed<real_concept, Policy>)(), tolerance);  // See above.
+
+   // BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (cbrt_pi<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION((cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)(), (pi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1)/(cbrt_pi<real_concept, Policy>)(), (one_div_cbrt_pi<real_concept, Policy>)(), tolerance);
+
+   // Euler
+   BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);
+
+   //BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), (exp_minus_half<real_concept, Policy>)(), tolerance);  // See above.
+   BOOST_CHECK_CLOSE_FRACTION(pow(e<real_concept, Policy>(), (pi<real_concept, Policy>)()), (e_pow_pi<real_concept, Policy>)(), tolerance); // See also above.
+   BOOST_CHECK_CLOSE_FRACTION(sqrt(e<real_concept, Policy>()), (root_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log10(e<real_concept, Policy>()), (log10_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1/log10(e<real_concept, Policy>()), (one_div_log10_e<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION((1/ln_two<real_concept, Policy>()), (log2_e<real_concept, Policy>)(), tolerance);
+
+   // Trigonometric
+   BOOST_CHECK_CLOSE_FRACTION((pi<real_concept, Policy>)()/180, (degree<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(180 / (pi<real_concept, Policy>)(), (radian<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sin(1.L), (sin_one<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cos(1.L), (cos_one<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(sinh(1.L), (sinh_one<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(cosh(1.L), (cosh_one<real_concept, Policy>)(), tolerance);
+
+   // Phi
+   BOOST_CHECK_CLOSE_FRACTION((1.L + sqrt(5.L)) /2, (phi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(log((1.L + sqrt(5.L)) /2), (ln_phi<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(1.L / log((1.L + sqrt(5.L)) /2), (one_div_ln_phi<real_concept, Policy>)(), tolerance);
+
+   //Euler's Gamma
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L, (euler<real_concept, Policy>)(), tolerance); // (sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(1.L/ 0.57721566490153286060651209008240243104215933593992L, (one_div_euler<real_concept, Policy>)(), tolerance); // (from sequence A001620 in OEIS).
+   BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104215933593992L * 0.57721566490153286060651209008240243104215933593992L, (euler_sqr<real_concept, Policy>)(), tolerance); // (from sequence A001620 in OEIS).
+
+   // Misc
+   BOOST_CHECK_CLOSE_FRACTION(1.644934066848226436472415166646025189218949901206L, (zeta_two<real_concept, Policy>)(), tolerance); // A013661 as a constant (usually base 10) in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.20205690315959428539973816151144999076498629234049888179227L, (zeta_three<real_concept, Policy>)(), tolerance); // (sequence A002117 in OEIS)
+   BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, (catalan<real_concept, Policy>)(), tolerance); // A006752 as a constant in OEIS.
+   BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, (extreme_value_skewness<real_concept, Policy>)(), tolerance); //  Mathematica: N[12 Sqrt[6]  Zeta[3]/Pi^3, 1101]
+   BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, (rayleigh_skewness<real_concept, Policy>)(), tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
+   BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, (rayleigh_kurtosis_excess<real_concept, Policy>)(), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, (khinchin<real_concept, Policy>)(), tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
+   BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, (glaisher<real_concept, Policy>)(), tolerance ); // https://oeis.org/A074962/constant
+
+   //
+   // Last of all come the test cases that behave differently if we're calculating the constants on the fly:
+   //
+   if(boost::math::tools::digits<real_concept>() > boost::math::constants::max_string_digits)
+   {
+      // This suffers from cancellation error, so increased tolerance:
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance * 3);
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance * 3);
+   }
+   else
+   {
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance);
+   }
+
+} // template <class boost::math::concepts::real_concept>void test_spots(boost::math::concepts::real_concept)
+
+#ifdef BOOST_MATH_USE_FLOAT128
+void test_float128()
+{
+   static const __float128 eps = 1.92592994438723585305597794258492732e-34Q;
+
+   __float128 p = boost::math::constants::pi<__float128>();
+   __float128 r = 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651Q;
+   __float128 err = (p - r) / r;
+   if(err < 0)
+      err = -err;
+   BOOST_CHECK(err < 2 * eps);
+}
+#endif
+
+void test_constexpr()
+{
+#ifndef BOOST_NO_CXX11_CONSTEXPR
+   constexpr float f1 = boost::math::constants::pi<float>();
+   constexpr double f2 = boost::math::constants::pi<double>();
+   constexpr long double f3 = boost::math::constants::pi<long double>();
+   constexpr float fval2 = boost::math::float_constants::pi;
+   constexpr double dval2 = boost::math::double_constants::pi;
+   constexpr long double ldval2 = boost::math::long_double_constants::pi;
+   (void)f1;
+   (void)f2;
+   (void)f3;
+   (void) fval2;
+   (void) dval2;
+   (void) ldval2;
+#ifdef BOOST_MATH_USE_FLOAT128
+   constexpr __float128 f4 = boost::math::constants::pi<__float128>();
+   (void)f4;
+#endif
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Basic sanity-check spot values.
+
+   test_float_spots(); // Test float_constants, like boost::math::float_constants::pi;
+   test_double_spots(); // Test double_constants.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_long_double_spots(); // Test long_double_constants.
+#ifdef BOOST_MATH_USE_FLOAT128
+   test_float128();
+#endif
+   test_constexpr();
+
+   test_real_concept_policy(real_concept_policy_1());
+   test_real_concept_policy(real_concept_policy_2()); // Increased precision forcing construction from string.
+   test_real_concept_policy(real_concept_policy_3()); // Increased precision forcing caching of computed values.
+   test_real_concept_policy(boost::math::policies::policy<>()); // Default.
+#endif
+   // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+   test_spots(0.0F); // Test float.
+   test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+   test_spots(boost::math::concepts::big_real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  1 Feb 2012
+
+test_constants.cpp
+  test_constants.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_constants.exe
+  Running 1 test case...
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type float is 2.38419e-007.
+  Tolerance for type double is 4.44089e-016.
+  Tolerance for type long double is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
+  Tolerance for type class boost::math::concepts::big_real_concept is 1.33227e-014.
+
+  *** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_cstdfloat.cpp b/src/boost/libs/math/test/test_cstdfloat.cpp
new file mode 100644
index 000000000..5fcf5a4c1
--- /dev/null
+++ b/src/boost/libs/math/test/test_cstdfloat.cpp
@@ -0,0 +1,562 @@
+//  Copyright Christopher Kormanyos 2014.
+//  Copyright John Maddock 2014.
+//  Copyright Paul A. Bristow 2014.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+#include <complex>
+#include <limits>
+#include <iostream>
+#include <iomanip>
+#include <sstream>
+#include <string>
+#include <boost/cstdfloat.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant.
+#  pragma warning(disable : 4512) // assignment operator could not be generated.
+#  pragma warning(disable : 4996) // use -D_SCL_SECURE_NO_WARNINGS.
+#endif
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/scoped_array.hpp>
+
+//
+// We need to define an iostream operator for __float128 in order to
+// compile this test:
+//
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the implementation of floating-point typedefs having
+// specified widths, as implemented in <boost/cstdfloat.hpp> and described
+// in N3626 (proposed for C++14).
+
+// For more information on <boost/cstdfloat.hpp> and the corresponding
+// proposal of "Floating-Point Typedefs Having Specified Widths",
+// see: http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2013/n3626.pdf
+
+// The tests:
+//
+// Perform sanity checks on boost::float16_t, boost::float32_t,
+// boost::float64_t, boost::float80_t, and boost::float128_t when
+// these types are available. In the sanity checks, we verify the
+// formal behavior of the types and the macros for creating literal
+// floating-point constants.
+//
+// An extended check is included for boost::float128_t. This checks
+// the functionality of <cmath>, I/O stream operations, and <complex>
+// functions for boost::float128_t.
+
+// For some reason the (x != x) check fails on Mingw:
+#if !defined(__MINGW64__)
+#define TEST_CSTDFLOAT_SANITY_CHECK_NAN(the_digits)                                                  \
+  {                                                                                                  \
+    using std::sqrt;                                                                                 \
+    const float_type x = sqrt(float_type(test_cstdfloat::minus_one));                                \
+    const bool the_nan_test = (   std::numeric_limits<float_type>::has_quiet_NaN                     \
+                               && (x != x));                                                         \
+    BOOST_CHECK_EQUAL( the_nan_test, true );                                                         \
+  }  
+#else
+#define TEST_CSTDFLOAT_SANITY_CHECK_NAN(the_digits)                                                  
+#endif
+
+#define TEST_CSTDFLOAT_SANITY_CHECK(the_digits)                                                      \
+void sanity_check_##the_digits##_func()                                                              \
+{                                                                                                    \
+  typedef boost::float##the_digits##_t float_type;                                                   \
+                                                                                                     \
+  BOOST_CONSTEXPR_OR_CONST int my_digits10 = std::numeric_limits<float_type>::digits10;              \
+                                                                                                     \
+  {                                                                                                  \
+    BOOST_CONSTEXPR_OR_CONST float_type x =                                                          \
+      BOOST_FLOAT##the_digits##_C(0.33333333333333333333333333333333333333333);                      \
+    std::stringstream ss;                                                                            \
+    ss << std::setprecision(my_digits10 - 1)                                                         \
+       << x;                                                                                         \
+    std::string str = "0.";                                                                          \
+    str += std::string(std::string::size_type(my_digits10 - 1), char('3'));                          \
+    BOOST_CHECK_EQUAL( ss.str(), str );                                                              \
+  }                                                                                                  \
+  {                                                                                                  \
+    BOOST_CONSTEXPR_OR_CONST float_type x =                                                          \
+      BOOST_FLOAT##the_digits##_C(0.66666666666666666666666666666666666666666);                      \
+    std::stringstream ss;                                                                            \
+    ss << std::setprecision(my_digits10 - 1)                                                         \
+       << x;                                                                                         \
+    std::string str = "0.";                                                                          \
+    str += std::string(std::string::size_type(my_digits10 - 2), char('6'));                          \
+    str += "7";                                                                                      \
+    BOOST_CHECK_EQUAL( ss.str(), str );                                                              \
+  }                                                                                                  \
+  {                                                                                                  \
+    const float_type x = BOOST_FLOAT##the_digits##_C(1.0) / test_cstdfloat::zero;                    \
+    const bool the_inf_test = (   std::numeric_limits<float_type>::has_infinity                      \
+                               && (x == std::numeric_limits<float_type>::infinity()));               \
+    BOOST_CHECK_EQUAL( the_inf_test, true );                                                         \
+  }                                                                                                  \
+  TEST_CSTDFLOAT_SANITY_CHECK_NAN(the_digits)\
+  {                                                                                                  \
+    const bool the_lim_test =                                                                        \
+      (std::numeric_limits<boost::floatmax_t>::digits >= std::numeric_limits<float_type>::digits);   \
+    BOOST_CHECK_EQUAL( the_lim_test, true );                                                         \
+  }                                                                                                  \
+}
+
+namespace test_cstdfloat
+{
+#if defined(BOOST_FLOAT128_C)
+
+   template <class T, class U>
+   void test_less(T a, U b)
+   {
+      BOOST_CHECK(a < b);
+      BOOST_CHECK(a <= b);
+      BOOST_CHECK(!(a > b));
+      BOOST_CHECK(!(a >= b));
+      BOOST_CHECK(!(a == b));
+      BOOST_CHECK((a != b));
+
+      BOOST_CHECK(b > a);
+      BOOST_CHECK(b >= a);
+      BOOST_CHECK(!(b < a));
+      BOOST_CHECK(!(b <= a));
+      BOOST_CHECK(!(b == a));
+      BOOST_CHECK((b != a));
+
+      BOOST_CHECK(std::isless(a, b));
+      BOOST_CHECK(std::islessequal(a, b));
+      BOOST_CHECK(!std::isgreater(a, b));
+      BOOST_CHECK(!std::isgreaterequal(a, b));
+      BOOST_CHECK(std::islessgreater(a, b));
+
+      BOOST_CHECK(!std::isless(b, a));
+      BOOST_CHECK(!std::islessequal(b, a));
+      BOOST_CHECK(std::isgreater(b, a));
+      BOOST_CHECK(std::isgreaterequal(b, a));
+      BOOST_CHECK(std::islessgreater(b, a));
+   }
+   template <class T, class U>
+   void test_equal(T a, U b)
+   {
+      BOOST_CHECK(!(a < b));
+      BOOST_CHECK(a <= b);
+      BOOST_CHECK(!(a > b));
+      BOOST_CHECK((a >= b));
+      BOOST_CHECK((a == b));
+      BOOST_CHECK(!(a != b));
+
+      BOOST_CHECK(!(b > a));
+      BOOST_CHECK(b >= a);
+      BOOST_CHECK(!(b < a));
+      BOOST_CHECK((b <= a));
+      BOOST_CHECK((b == a));
+      BOOST_CHECK(!(b != a));
+
+      BOOST_CHECK(!std::isless(a, b));
+      BOOST_CHECK(std::islessequal(a, b));
+      BOOST_CHECK(!std::isgreater(a, b));
+      BOOST_CHECK(std::isgreaterequal(a, b));
+      BOOST_CHECK(!std::islessgreater(a, b));
+
+      BOOST_CHECK(!std::isless(b, a));
+      BOOST_CHECK(std::islessequal(b, a));
+      BOOST_CHECK(!std::isgreater(b, a));
+      BOOST_CHECK(std::isgreaterequal(b, a));
+      BOOST_CHECK(!std::islessgreater(b, a));
+   }
+   template <class T, class U>
+   void test_unordered(T a, U b)
+   {
+      BOOST_CHECK(!(a < b));
+      BOOST_CHECK(!(a <= b));
+      BOOST_CHECK(!(a > b));
+      BOOST_CHECK(!(a >= b));
+      BOOST_CHECK(!(a == b));
+      BOOST_CHECK((a != b));
+
+      BOOST_CHECK(!(b > a));
+      BOOST_CHECK(!(b >= a));
+      BOOST_CHECK(!(b < a));
+      BOOST_CHECK(!(b <= a));
+      BOOST_CHECK(!(b == a));
+      BOOST_CHECK((b != a));
+
+      BOOST_CHECK(!std::isless(a, b));
+      BOOST_CHECK(!std::islessequal(a, b));
+      BOOST_CHECK(!std::isgreater(a, b));
+      BOOST_CHECK(!std::isgreaterequal(a, b));
+      BOOST_CHECK(!std::islessgreater(a, b));
+
+      BOOST_CHECK(!std::isless(b, a));
+      BOOST_CHECK(!std::islessequal(b, a));
+      BOOST_CHECK(!std::isgreater(b, a));
+      BOOST_CHECK(!std::isgreaterequal(b, a));
+      BOOST_CHECK(!std::islessgreater(b, a));
+   }
+
+   template <class T>
+   void test()
+   {
+      //
+      // Basic sanity checks for C99 functions which are just imported versions
+      // from Boost.Math.  These should still be found via ADL so no using declarations here...
+      //
+      T val = 2;
+      BOOST_CHECK(std::signbit(val) == 0);
+      BOOST_CHECK(std::signbit(val + 2) == 0);
+      val = -val;
+      BOOST_CHECK(std::signbit(val));
+      BOOST_CHECK(std::signbit(val * 2));
+
+      T s = 2;
+      val = 3;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), 3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), -3);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), 6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), 6);
+      s = -2;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), -3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), 3);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), -6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), -6);
+      val = -3;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), -3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), 3);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), -6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), -6);
+      s = 0;
+      BOOST_CHECK_EQUAL(std::copysign(val, s), 3);
+      BOOST_CHECK_EQUAL(std::copysign(val, s * -2), -3);
+
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, s), 6);
+      BOOST_CHECK_EQUAL(std::copysign(-2 * val, 2 * s), 6);
+      // Things involving signed zero, need to detect it first:
+
+      val = 3;
+      BOOST_CHECK_EQUAL(std::fpclassify(val), FP_NORMAL);
+      BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_NORMAL);
+      BOOST_CHECK(!std::isinf(val));
+      BOOST_CHECK(!std::isinf(val + 2));
+      BOOST_CHECK(!std::isnan(val));
+      BOOST_CHECK(!std::isnan(val + 2));
+      BOOST_CHECK(std::isnormal(val));
+      BOOST_CHECK(std::isnormal(val + 2));
+      val = -3;
+      BOOST_CHECK_EQUAL(std::fpclassify(val), FP_NORMAL);
+      BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_NORMAL);
+      BOOST_CHECK(!std::isinf(val));
+      BOOST_CHECK(!std::isinf(val + 2));
+      BOOST_CHECK(!std::isnan(val));
+      BOOST_CHECK(!std::isnan(val + 2));
+      BOOST_CHECK(std::isnormal(val));
+      BOOST_CHECK(std::isnormal(val + 2));
+      val = 0;
+      BOOST_CHECK_EQUAL(std::fpclassify(val), FP_ZERO);
+      BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_ZERO);
+      BOOST_CHECK(!std::isinf(val));
+      BOOST_CHECK(!std::isinf(val + 2));
+      BOOST_CHECK(!std::isnan(val));
+      BOOST_CHECK(!std::isnan(val + 2));
+      BOOST_CHECK(!std::isnormal(val));
+      BOOST_CHECK(!std::isnormal(val * 2));
+      BOOST_CHECK(!std::isnormal(val * -2));
+      if (std::numeric_limits<T>::has_infinity)
+      {
+         val = std::numeric_limits<T>::infinity();
+         BOOST_CHECK_EQUAL(std::fpclassify(val), FP_INFINITE);
+         BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_INFINITE);
+         BOOST_CHECK(std::isinf(val));
+         BOOST_CHECK(std::isinf(val + 2));
+         BOOST_CHECK(!std::isnan(val));
+         BOOST_CHECK(!std::isnan(val + 2));
+         BOOST_CHECK(!std::isnormal(val));
+         BOOST_CHECK(!std::isnormal(val + 2));
+         val = -val;
+         BOOST_CHECK_EQUAL(std::fpclassify(val), FP_INFINITE);
+         BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_INFINITE);
+         BOOST_CHECK(std::isinf(val));
+         BOOST_CHECK(std::isinf(val + 2));
+         BOOST_CHECK(!std::isnan(val));
+         BOOST_CHECK(!std::isnan(val + 2));
+         BOOST_CHECK(!std::isnormal(val));
+         BOOST_CHECK(!std::isnormal(val + 2));
+      }
+      if (std::numeric_limits<T>::has_quiet_NaN)
+      {
+         val = std::numeric_limits <T>::quiet_NaN();
+         BOOST_CHECK_EQUAL(std::fpclassify(val), FP_NAN);
+         BOOST_CHECK_EQUAL(std::fpclassify(val * 3), FP_NAN);
+         BOOST_CHECK(!std::isinf(val));
+         BOOST_CHECK(!std::isinf(val + 2));
+         BOOST_CHECK(std::isnan(val));
+         BOOST_CHECK(std::isnan(val + 2));
+         BOOST_CHECK(!std::isnormal(val));
+         BOOST_CHECK(!std::isnormal(val + 2));
+      }
+      s = 8 * std::numeric_limits<T>::epsilon();
+      val = 2.5;
+      BOOST_CHECK_CLOSE_FRACTION(std::asinh(val), T(1.6472311463710957106248586104436196635044144301932365282203100930843983757633104078778420255069424907777006132075516484778755360595913172299093829522950397895699619540523579875476513967578478619028438291006578604823887119907434Q), s);
+      BOOST_CHECK_CLOSE_FRACTION(std::acosh(val), T(1.5667992369724110786640568625804834938620823510926588639329459980122148134693922696279968499622201141051039184050936311066453565386393240356562374302417843319480223211857615778787272615171906055455922537080327062362258846337050Q), s);
+      val = 0.5;
+      BOOST_CHECK_CLOSE_FRACTION(std::atanh(val), T(0.5493061443340548456976226184612628523237452789113747258673471668187471466093044834368078774068660443939850145329789328711840021129652599105264009353836387053015813845916906835896868494221804799518712851583979557605727959588753Q), s);
+      val = 55.25;
+      BOOST_CHECK_CLOSE_FRACTION(std::cbrt(val), T(3.8087058015466360309383876359583281382991983919300128125378938779672144843676192684301168479657279498120767424724024965319869248797423276064015643361426189576415670917818313417529572608229017809069355688606687557031643655896118Q), s);
+      val = 2.75;
+      BOOST_CHECK_CLOSE_FRACTION(std::erf(val), T(0.9998993780778803631630956080249130432349352621422640655161095794654526422025908961447328296681056892975214344779300734620255391682713519265048496199034963706976420982849598189071465666866369396765001072187538732800143945532487Q), s);
+      BOOST_CHECK_CLOSE_FRACTION(std::erfc(val), T(0.0001006219221196368369043919750869567650647378577359344838904205345473577974091038552671703318943107024785655220699265379744608317286480734951503800965036293023579017150401810928534333133630603234998927812461267199856054467512Q), s);
+      val = 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(std::expm1(val), T(0.1331484530668263168290072278117938725655031317451816259128200360788235778800483865139399907949417285732315270156473075657048210452584733998785564025916995261162759280700397984729320345630340659469435372721057879969170503978449Q), s);
+
+      val = 20;
+      s = 2;
+      BOOST_CHECK_EQUAL(std::fdim(val, s), 18);
+      BOOST_CHECK_EQUAL(std::fdim(s, val), 0);
+      BOOST_CHECK_EQUAL(std::fdim(val, s * 2), 16);
+      BOOST_CHECK_EQUAL(std::fdim(s * 2, val), 0);
+      BOOST_CHECK_EQUAL(std::fdim(val, 2), 18);
+      BOOST_CHECK_EQUAL(std::fdim(2, val), 0);
+
+      BOOST_CHECK_EQUAL(std::fmax(val, s), val);
+      BOOST_CHECK_EQUAL(std::fmax(s, val), val);
+      BOOST_CHECK_EQUAL(std::fmax(val * 2, s), val * 2);
+      BOOST_CHECK_EQUAL(std::fmax(val, s * 2), val);
+      BOOST_CHECK_EQUAL(std::fmax(val * 2, s * 2), val * 2);
+      BOOST_CHECK_EQUAL(std::fmin(val, s), s);
+      BOOST_CHECK_EQUAL(std::fmin(s, val), s);
+      BOOST_CHECK_EQUAL(std::fmin(val * 2, s), s);
+      BOOST_CHECK_EQUAL(std::fmin(val, s * 2), s * 2);
+      BOOST_CHECK_EQUAL(std::fmin(val * 2, s * 2), s * 2);
+
+      BOOST_CHECK_EQUAL(std::fmax(val, 2), val);
+      BOOST_CHECK_EQUAL(std::fmax(val, 2.0), val);
+      BOOST_CHECK_EQUAL(std::fmax(20, s), val);
+      BOOST_CHECK_EQUAL(std::fmax(20.0, s), val);
+      BOOST_CHECK_EQUAL(std::fmin(val, 2), s);
+      BOOST_CHECK_EQUAL(std::fmin(val, 2.0), s);
+      BOOST_CHECK_EQUAL(std::fmin(20, s), s);
+      BOOST_CHECK_EQUAL(std::fmin(20.0, s), s);
+      if (std::numeric_limits<T>::has_quiet_NaN)
+      {
+         BOOST_CHECK_EQUAL(std::fmax(val, std::numeric_limits<T>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmax(std::numeric_limits<T>::quiet_NaN(), val), val);
+         BOOST_CHECK_EQUAL(std::fmin(val, std::numeric_limits<T>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmin(std::numeric_limits<T>::quiet_NaN(), val), val);
+      }
+      if (std::numeric_limits<double>::has_quiet_NaN)
+      {
+         BOOST_CHECK_EQUAL(std::fmax(val, std::numeric_limits<double>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmax(std::numeric_limits<double>::quiet_NaN(), val), val);
+         BOOST_CHECK_EQUAL(std::fmin(val, std::numeric_limits<double>::quiet_NaN()), val);
+         BOOST_CHECK_EQUAL(std::fmin(std::numeric_limits<double>::quiet_NaN(), val), val);
+      }
+
+      test_less(s, val);
+      test_less(2, val);
+      test_less(s, 20);
+      test_less(s + 0, val);
+      test_less(s, val * 1);
+      test_less(s * 1, val * 1);
+      test_less(s * 1, 20);
+      test_less(s + 2, val * 2);
+
+      test_equal(val, val);
+      test_equal(20, val);
+      test_equal(val, 20);
+      test_equal(val + 0, val);
+      test_equal(val, val * 1);
+      test_equal(val * 1, val * 1);
+      test_equal(val * 1, 20);
+      test_equal(val * 20, val * 20);
+
+      if (std::numeric_limits<T>::has_quiet_NaN)
+      {
+         s = std::numeric_limits<T>::quiet_NaN();
+         test_unordered(s, val);
+         test_unordered(s, 20);
+         test_unordered(s + 0, val);
+         test_unordered(s, val * 1);
+         test_unordered(s * 1, val * 1);
+         test_unordered(s * 1, 20);
+         test_unordered(s + 2, val * 2);
+         if (std::numeric_limits<double>::has_quiet_NaN)
+         {
+            double n = std::numeric_limits<double>::quiet_NaN();
+            test_unordered(n, val);
+         }
+      }
+
+      T tol = 8 * std::numeric_limits<T>::epsilon();
+      s = 2;
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val, 2)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val, 2.0)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20.0, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, s)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, s * 1)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, 2)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(val * 1, 2.0)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20, s * 1)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::hypot(20.0, s * 1)), T(20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530Q), tol);
+
+      BOOST_CHECK_CLOSE_FRACTION(std::lgamma(val), T(39.339884187199494036224652394567381081691457206897853119937969989377572554993874476249340525204204720861169039582Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(std::lgamma(val + 0), T(39.339884187199494036224652394567381081691457206897853119937969989377572554993874476249340525204204720861169039582Q), tol);
+
+      BOOST_CHECK_EQUAL(std::lrint(val), 20);
+      BOOST_CHECK_EQUAL(std::lrint(val * 2), 40);
+      BOOST_CHECK_EQUAL(std::llrint(val), 20);
+      BOOST_CHECK_EQUAL(std::llrint(val * 2), 40);
+
+      val = 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(std::log1p(val), T(0.117783035656383454538794109470521705068480712564733141107348638794807720528133786929641528638208114949935615070Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(std::log1p(val + 0), T(0.117783035656383454538794109470521705068480712564733141107348638794807720528133786929641528638208114949935615070Q), tol);
+      val = 20;
+      BOOST_CHECK_CLOSE_FRACTION(T(std::log2(val)), T(4.321928094887362347870319429489390175864831393024580612054756395815934776608625215850139743359370155099657371710Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::log2(val + 0)), T(4.321928094887362347870319429489390175864831393024580612054756395815934776608625215850139743359370155099657371710Q), tol);
+
+      BOOST_CHECK_EQUAL(T(std::nearbyint(val)), 20);
+      BOOST_CHECK_EQUAL(T(std::nearbyint(val + 0.25)), 20);
+      BOOST_CHECK_EQUAL(T(std::rint(val)), 20);
+      BOOST_CHECK_EQUAL(T(std::rint(val + 0.25)), 20);
+
+      BOOST_CHECK_GT(std::nextafter(val, T(200)), val);
+      BOOST_CHECK_GT(std::nextafter(val + 0, T(200)), val);
+      BOOST_CHECK_GT(std::nextafter(val + 0, T(200) + 1), val);
+      BOOST_CHECK_GT(std::nextafter(val, T(200) + 1), val);
+
+      BOOST_CHECK_GT(std::nexttoward(val, T(200)), val);
+      BOOST_CHECK_GT(std::nexttoward(val + 0, T(200)), val);
+      BOOST_CHECK_GT(std::nexttoward(val + 0, T(200) + 1), val);
+      BOOST_CHECK_GT(std::nexttoward(val, T(200) + 1), val);
+
+      val = 21;
+      s = 5;
+      BOOST_CHECK_EQUAL(T(std::remainder(val, s)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val, 5)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(21, s)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val * 1, s)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val * 1, s * 1)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val, s * 1)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(val * 1, 5)), 1);
+      BOOST_CHECK_EQUAL(T(std::remainder(21, s * 1)), 1);
+      int i(0);
+      BOOST_CHECK_EQUAL(T(std::remquo(val, s, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val, 5, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(21, s, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val * 1, s, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val * 1, s * 1, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val, s * 1, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(val * 1, 5, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      BOOST_CHECK_EQUAL(T(std::remquo(21, s * 1, &i)), 1);
+      BOOST_CHECK_EQUAL(i, 4);
+      i = 0;
+      val = 5.25;
+      tol = 3000;
+      BOOST_CHECK_CLOSE_FRACTION(std::tgamma(val), T(35.211611852799685705225257690531248115026311138908448314086859575901217653313145619623624570033258659272301335544Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(std::tgamma(val + 1), T(184.86096222719834995243260287528905260388813347926935364895601277348139267989401450302402899267460796117958201160Q), tol);
+
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val)), T(38.054627680087074134959999057935229289375106958842157216608071191022933383261349115865003025220405558913196632792Q), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val + 1)), T(76.109255360174148269919998115870458578750213917684314433216142382045866766522698231730006050440811117826393265585Q), tol);
+      val = 15;
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val)), T(32768uL), tol);
+      BOOST_CHECK_CLOSE_FRACTION(T(std::exp2(val + 1)), T(65536uL), tol);
+
+      i = std::fpclassify(val) + std::isgreaterequal(val, s) + std::islessequal(val, s) + std::isnan(val) + std::isunordered(val, s)
+         + std::isfinite(val) + std::isinf(val) + std::islessgreater(val, s) + std::isnormal(val) + std::signbit(val) + std::isgreater(val, s) + std::isless(val, s);
+   }
+
+#endif
+
+   int zero;
+   int minus_one;
+
+#if defined(BOOST_FLOATMAX_C)
+   BOOST_CONSTEXPR_OR_CONST int has_floatmax_t = 1;
+#else
+   BOOST_CONSTEXPR_OR_CONST int has_floatmax_t = 0;
+#endif
+
+#if defined(BOOST_FLOAT16_C)
+   TEST_CSTDFLOAT_SANITY_CHECK(16)
+#endif
+
+#if defined(BOOST_FLOAT32_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(32)
+#endif
+
+#if defined(BOOST_FLOAT64_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(64)
+#endif
+
+#if defined(BOOST_FLOAT80_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(80)
+#endif
+
+#if defined(BOOST_FLOAT128_C)
+      TEST_CSTDFLOAT_SANITY_CHECK(128)
+
+      void extend_check_128_func()
+   {
+      test<boost::float128_t>();
+   }
+#endif // defined (BOOST_FLOAT128_C)
+}
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   test_cstdfloat::zero = 0;
+   test_cstdfloat::minus_one = -1;
+
+   // Perform basic sanity checks that verify both the existence of the proper
+   // floating-point literal macros as well as the correct digit handling
+   // for a given floating-point typedef having specified width.
+
+   BOOST_CHECK_EQUAL(test_cstdfloat::has_floatmax_t, 1);
+
+#if defined(BOOST_FLOAT16_C)
+   test_cstdfloat::sanity_check_16_func();
+#endif
+
+#if defined(BOOST_FLOAT32_C)
+   test_cstdfloat::sanity_check_32_func();
+#endif
+
+#if defined(BOOST_FLOAT64_C)
+   test_cstdfloat::sanity_check_64_func();
+#endif
+
+#if defined(BOOST_FLOAT80_C)
+   test_cstdfloat::sanity_check_80_func();
+#endif
+
+#if defined(BOOST_FLOAT128_C)
+   test_cstdfloat::sanity_check_128_func();
+
+   // Perform an extended check of boost::float128_t including
+   // a variety of functions from the C++ standard library.
+   test_cstdfloat::extend_check_128_func();
+#endif // defined (BOOST_FLOAT128_C)
+}
diff --git a/src/boost/libs/math/test/test_difference.cpp b/src/boost/libs/math/test/test_difference.cpp
new file mode 100644
index 000000000..b64f2835c
--- /dev/null
+++ b/src/boost/libs/math/test/test_difference.cpp
@@ -0,0 +1,161 @@
+//  (C) Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/ulp.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+#include <iostream>
+#include <iomanip>
+
+template <class T>
+void test_value(const T& val, const char* name)
+{
+   using namespace boost::math;
+   using std::fabs;
+   T next = float_next(val);
+   T prev = float_prior(val);
+
+   if((boost::math::isinf)(next))
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, next), tools::max_value<T>());
+      return;
+   }
+   if((boost::math::isinf)(prev))
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, prev), tools::max_value<T>());
+      return;
+   }
+
+   BOOST_CHECK_EQUAL(relative_difference(val, next), relative_difference(next, val));
+   BOOST_CHECK_EQUAL(epsilon_difference(val, next), epsilon_difference(next, val));
+   BOOST_CHECK_LE(relative_difference(val, next), boost::math::tools::epsilon<T>());
+   BOOST_CHECK_LE(epsilon_difference(val, next), T(1));
+   if((fabs(val) > tools::min_value<T>()) || (fabs(next) > tools::min_value<T>()))
+   {
+      BOOST_CHECK_GT(relative_difference(val, next), T(0));
+      BOOST_CHECK_GT(epsilon_difference(val, next), T(0));
+   }
+   else
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, next), T(0));
+      BOOST_CHECK_EQUAL(epsilon_difference(val, next), T(0));
+   }
+
+   BOOST_CHECK_EQUAL(relative_difference(val, prev), relative_difference(prev, val));
+   BOOST_CHECK_EQUAL(epsilon_difference(val, prev), epsilon_difference(prev, val));
+   if((fabs(val) > tools::min_value<T>()) || (fabs(prev) > tools::min_value<T>()))
+   {
+      BOOST_CHECK_GT(relative_difference(val, prev), T(0));
+      BOOST_CHECK_GT(epsilon_difference(val, prev), T(0));
+   }
+   else
+   {
+      BOOST_CHECK_EQUAL(relative_difference(val, prev), T(0));
+      BOOST_CHECK_EQUAL(epsilon_difference(val, prev), T(0));
+   }
+}
+
+template <class T>
+void test_values(const T& val, const char* name)
+{
+   static const T a = static_cast<T>(1.3456724e22);
+   static const T b = static_cast<T>(1.3456724e-22);
+   static const T z = 0;
+   static const T one = 1;
+   static const T two = 2;
+
+   std::cout << "Testing type " << name << std::endl;
+
+   T den = (std::numeric_limits<T>::min)() / 4;
+   if(den != 0)
+   {
+      std::cout << "Denormals are active\n";
+   }
+   else
+   {
+      std::cout << "Denormals are flushed to zero.\n";
+   }
+
+   test_value(a, name);
+   test_value(-a, name);
+   test_value(b, name);
+   test_value(-b, name);
+   test_value(boost::math::tools::epsilon<T>(), name);
+   test_value(-boost::math::tools::epsilon<T>(), name);
+   test_value(boost::math::tools::min_value<T>(), name);
+   test_value(-boost::math::tools::min_value<T>(), name);
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(z, name);
+      test_value(-z, name);
+   }
+   test_value(one, name);
+   test_value(-one, name);
+   test_value(two, name);
+   test_value(-two, name);
+
+   static const int primes[] = {
+      11,     13,     17,     19,     23,     29, 
+      31,     37,     41,     43,     47,     53,     59,     61,     67,     71, 
+      73,     79,     83,     89,     97,    101,    103,    107,    109,    113, 
+      127,    131,    137,    139,    149,    151,    157,    163,    167,    173, 
+      179,    181,    191,    193,    197,    199,    211,    223,    227,    229, 
+      233,    239,    241,    251,    257,    263,    269,    271,    277,    281, 
+      283,    293,    307,    311,    313,    317,    331,    337,    347,    349, 
+      353,    359,    367,    373,    379,    383,    389,    397,    401,    409, 
+      419,    421,    431,    433,    439,    443,    449,    457,    461,    463, 
+   };
+
+   for(unsigned i = 0; i < sizeof(primes) / sizeof(primes[0]); ++i)
+   {
+      for(unsigned j = 0; j < sizeof(primes) / sizeof(primes[0]); ++j)
+      {
+         test_value(T(primes[i]) / T(primes[j]), name);
+         test_value(-T(primes[i]) / T(primes[j]), name);
+      }
+   }
+   using namespace boost::math;
+   BOOST_CHECK_EQUAL(relative_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>());
+   BOOST_CHECK_EQUAL(epsilon_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>());
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0));
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0));
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>());
+   }
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(relative_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+      BOOST_CHECK_EQUAL(epsilon_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
+   }
+
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_values(1.0L, "long double");
+   test_values(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_digamma.cpp b/src/boost/libs/math/test/test_digamma.cpp
new file mode 100644
index 000000000..67fee8195
--- /dev/null
+++ b/src/boost/libs/math/test/test_digamma.cpp
@@ -0,0 +1,133 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_digamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the digamma function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Negative.*",                    // test data group
+      ".*", 300, 40);                // test function
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Near the Positive Root.*",  // test data group
+      ".*", 25000, 3000);            // test function
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Half.*",                    // test data group
+      ".*", 15, 10);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 3, 3);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is 3 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 300;
+   //
+   // Special tolerance (200eps) for when we're very near the root,
+   // and T has more than 64-bits in it's mantissa:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.125)), static_cast<T>(-8.3884926632958548678027429230863430000514460424495L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.5)), static_cast<T>(-1.9635100260214234794409763329987555671931596046604L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1)), static_cast<T>(-0.57721566490153286060651209008240243104215933593992L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5)), static_cast<T>(0.036489973978576520559023667001244432806840395339566L), tolerance * 40);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5) - static_cast<T>(1)/32), static_cast<T>(0.00686541147073577672813890866512415766586241385896200579891429L), tolerance * 100);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(2)), static_cast<T>(0.42278433509846713939348790991759756895784066406008L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(8)), static_cast<T>(2.0156414779556099965363450527747404261006978069172L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(12)), static_cast<T>(2.4426616799758120167383652547949424463027180089374L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(22)), static_cast<T>(3.0681430398611966699248760264450329818421699570581L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(50)), static_cast<T>(3.9019896734278921969539597028823666609284424880275L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(500)), static_cast<T>(6.2136077650889917423827750552855712637776544784569L), tolerance);
+   //
+   // negative values:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-0.125)), static_cast<T>(7.1959829284523046176757814502538535827603450463013L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.125)), static_cast<T>(9.9480538258660761287008034071425343357982429855241L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.875)), static_cast<T>(-5.1527360383841562620205965901515879492020193154231L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-1.5)), static_cast<T>(0.70315664064524318722569033366791109947350706200623L), tolerance);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+   test_digamma(0.1F, "float");
+   test_digamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_digamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_digamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_digamma.hpp b/src/boost/libs/math/test/test_digamma.hpp
new file mode 100644
index 000000000..6b35a7aea
--- /dev/null
+++ b/src/boost/libs/math/test/test_digamma.hpp
@@ -0,0 +1,103 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_digamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(DIGAMMA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef DIGAMMA_FUNCTION_TO_TEST
+   pg funcp = DIGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::digamma<value_type>;
+#else
+   pg funcp = boost::math::digamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test digamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0), 
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "digamma", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_digamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "digamma_data.ipp"
+
+   do_test_digamma<T>(digamma_data, name, "Digamma Function: Large Values");
+
+#  include "digamma_root_data.ipp"
+
+   do_test_digamma<T>(digamma_root_data, name, "Digamma Function: Near the Positive Root");
+
+#  include "digamma_small_data.ipp"
+
+   do_test_digamma<T>(digamma_small_data, name, "Digamma Function: Near Zero");
+
+#  include "digamma_neg_data.ipp"
+
+   do_test_digamma<T>(digamma_neg_data, name, "Digamma Function: Negative Values");
+
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 5> digamma_bugs = {{
+       // Test cases from Rocco Romeo:
+        {{ SC_(7.888609052210118054117285652827862296732064351090230047702789306640625e-31) /*std::ldexp(1.0, -100)*/, SC_(-1.26765060022822940149670320537657721566490153286060651209008e30) }},
+        {{ SC_(-7.888609052210118054117285652827862296732064351090230047702789306640625e-31) /*-std::ldexp(1.0, -100)*/, SC_(1.26765060022822940149670320537542278433509846713939348790992e30) }},
+        {{ SC_(1.0), SC_(-0.577215664901532860606512090082402431042159335939923598805767) }},
+        {{ SC_(-0.99999904632568359375) /*static_cast<T>(-1) + static_cast<T>(std::ldexp(1.0, -20))*/, SC_(-1.04857557721314249602848739817764518743062133735858753112190e6) }},
+        {{ SC_(-1.00000095367431640625) /*static_cast<T>(-1) - static_cast<T>(std::ldexp(1.0, -20))*/, SC_(1.04857642278181269259522681939281063878220298942888100442172e6) }},
+    }};
+   do_test_digamma<T>(digamma_bugs, name, "Digamma Function: Values near 0");
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 40> digamma_integers = { {
+      {{ SC_(1.0), SC_(-0.57721566490153286060651209008240243) }}, {{ SC_(2.0), SC_(0.42278433509846713939348790991759757) }}, {{ SC_(3.0), SC_(0.92278433509846713939348790991759757) }}, {{ SC_(4.0), SC_(1.2561176684318004727268212432509309) }}, {{ SC_(5.0), SC_(1.5061176684318004727268212432509309) }}, {{ SC_(6.0), SC_(1.7061176684318004727268212432509309) }}, {{ SC_(7.0), SC_(1.8727843350984671393934879099175976) }}, {{ SC_(8.0), SC_(2.0156414779556099965363450527747404) }}, {{ SC_(9.0), SC_(2.1406414779556099965363450527747404) }}, {{ SC_(10.0), SC_(2.2517525890667211076474561638858515) }}, {{ SC_(11.0), SC_(2.3517525890667211076474561638858515) }}, {{ SC_(12.0), SC_(2.4426616799758120167383652547949424) }}, {{ SC_(13.0), SC_(2.5259950133091453500716985881282758) }}, {{ SC_(14.0), SC_(2.6029180902322222731486216650513527) }}, {{ SC_(15.0), SC_(2.6743466616607937017200502364799241) }}, {{ SC_(16.0), SC_(2.7410133283274603683867169031465908) }}, {{ SC_(17.0), SC_(2.8035133283274603683867169031465908) }}, {{ SC_(18.0), SC_(2.8623368577392250742690698443230614) }}, {{ SC_(19.0), SC_(2.9178924132947806298246253998786169) }}, {{ SC_(20.0), SC_(2.9705239922421490508772569788259854) }}, {{ SC_(21.0), SC_(3.0205239922421490508772569788259854) }}, {{ SC_(22.0), SC_(3.0681430398611966699248760264450330) }}, {{ SC_(23.0), SC_(3.1135975853157421244703305718995784) }}, {{ SC_(24.0), SC_(3.1570758461853073418616349197256654) }}, {{ SC_(25.0), SC_(3.1987425128519740085283015863923321) }}, {{ SC_(26.0), SC_(3.2387425128519740085283015863923321) }}, {{ SC_(27.0), SC_(3.2772040513135124700667631248538705) }}, {{ SC_(28.0), SC_(3.3142410883505495071038001618909076) }}, {{ SC_(29.0), SC_(3.3499553740648352213895144476051933) }}, {{ SC_(30.0), SC_(3.3844381326855248765619282407086415) }}, {{ SC_(31.0), SC_(3.4177714660188582098952615740419749) }}, {{ SC_(32.0), SC_(3.4500295305349872421533260901710071) }}, {{ SC_(33.0), SC_(3.4812795305349872421533260901710071) }}, {{ SC_(34.0), SC_(3.5115825608380175451836291204740374) }}, {{ SC_(35.0), SC_(3.5409943255438998981248055910622727) }}, {{ SC_(36.0), SC_(3.5695657541153284695533770196337013) }}, {{ SC_(37.0), SC_(3.5973435318931062473311547974114791) }}, {{ SC_(38.0), SC_(3.6243705589201332743581818244385061) }}, {{ SC_(39.0), SC_(3.6506863483938174848844976139121903) }}, {{ SC_(40.0), SC_(3.6763273740348431259101386395532160) }}
+   } };
+   do_test_digamma<T>(digamma_integers, name, "Digamma Function: Integer arguments");
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 41> digamma_half_integers = { {
+      {{ SC_(0.5), SC_(-1.9635100260214234794409763329987556) }}, {{ SC_(1.5), SC_(0.036489973978576520559023667001244433) }}, {{ SC_(2.5), SC_(0.70315664064524318722569033366791110) }}, {{ SC_(3.5), SC_(1.1031566406452431872256903336679111) }}, {{ SC_(4.5), SC_(1.3888709263595289015114046193821968) }}, {{ SC_(5.5), SC_(1.6110931485817511237336268416044190) }}, {{ SC_(6.5), SC_(1.7929113303999329419154450234226009) }}, {{ SC_(7.5), SC_(1.9467574842460867880692911772687547) }}, {{ SC_(8.5), SC_(2.0800908175794201214026245106020880) }}, {{ SC_(9.5), SC_(2.1977378764029495331673303929550292) }}, {{ SC_(10.5), SC_(2.3030010342976863752725935508497661) }}, {{ SC_(11.5), SC_(2.3982391295357816133678316460878613) }}, {{ SC_(12.5), SC_(2.4851956512749120481504403417400352) }}, {{ SC_(13.5), SC_(2.5651956512749120481504403417400352) }}, {{ SC_(14.5), SC_(2.6392697253489861222245144158141093) }}, {{ SC_(15.5), SC_(2.7082352425903654325693420020210058) }}, {{ SC_(16.5), SC_(2.7727513716226234970854710342790703) }}, {{ SC_(17.5), SC_(2.8333574322286841031460770948851310) }}, {{ SC_(18.5), SC_(2.8905002893715412460032199520279881) }}, {{ SC_(19.5), SC_(2.9445543434255953000572740060820421) }}, {{ SC_(20.5), SC_(2.9958363947076465821085560573640934) }}, {{ SC_(21.5), SC_(3.0446168825125246308890438622421422) }}, {{ SC_(22.5), SC_(3.0911285104195013750750903738700492) }}, {{ SC_(23.5), SC_(3.1355729548639458195195348183144936) }}, {{ SC_(24.5), SC_(3.1781261463533075216471943927825787) }}, {{ SC_(25.5), SC_(3.2189424728839197665451535764560481) }}, {{ SC_(26.5), SC_(3.2581581591584295704667222039070285) }}, {{ SC_(27.5), SC_(3.2958940082150333440516278642843870) }}, {{ SC_(28.5), SC_(3.3322576445786697076879915006480234) }}, {{ SC_(29.5), SC_(3.3673453638769153217230792199462690) }}, {{ SC_(30.5), SC_(3.4012436689616610844349436267259300) }}, {{ SC_(31.5), SC_(3.4340305542075627237792059218078972) }}, {{ SC_(32.5), SC_(3.4657765859535944698109519535539290) }}, {{ SC_(33.5), SC_(3.4965458167228252390417211843231597) }}, {{ SC_(34.5), SC_(3.5263965629914819554596316320843538) }}, {{ SC_(35.5), SC_(3.5553820702378587670538345306350784) }}, {{ SC_(36.5), SC_(3.5835510843223658093073556573956418) }}, {{ SC_(37.5), SC_(3.6109483445963384120470816847929021) }}, {{ SC_(38.5), SC_(3.6376150112630050787137483514595687) }}, {{ SC_(39.5), SC_(3.6635890372370310527397223774335947) }}, {{ SC_(40.5), SC_(3.6889054929332335843852919976867593) }}
+   } };
+   do_test_digamma<T>(digamma_half_integers, name, "Digamma Function: Half integer arguments");
+
+   BOOST_MATH_CHECK_THROW(boost::math::digamma(T(0)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::digamma(T(-1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::digamma(T(-2)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_dist_overloads.cpp b/src/boost/libs/math/test/test_dist_overloads.cpp
new file mode 100644
index 000000000..5fd60fbb2
--- /dev/null
+++ b/src/boost/libs/math/test/test_dist_overloads.cpp
@@ -0,0 +1,101 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_dist_overloads.cpp
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/normal.hpp>
+    using boost::math::normal_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks,
+   // 2 eps as a percentage:
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 2 * 100;
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   for(int i = -4; i <= 4; ++i)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::cdf(normal_distribution<RealType>(), i),
+         ::boost::math::cdf(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::pdf(normal_distribution<RealType>(), i),
+         ::boost::math::pdf(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::cdf(complement(normal_distribution<RealType>(), i)),
+         ::boost::math::cdf(complement(normal_distribution<RealType>(), static_cast<RealType>(i))),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::hazard(normal_distribution<RealType>(), i),
+         ::boost::math::hazard(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::chf(normal_distribution<RealType>(), i),
+         ::boost::math::chf(normal_distribution<RealType>(), static_cast<RealType>(i)),
+         tolerance);
+   }
+   for(float f = 0.01f; f < 1; f += 0.01f)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(normal_distribution<RealType>(), f),
+         ::boost::math::quantile(normal_distribution<RealType>(), static_cast<RealType>(f)),
+         tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(complement(normal_distribution<RealType>(), f)),
+         ::boost::math::quantile(complement(normal_distribution<RealType>(), static_cast<RealType>(f))),
+         tolerance);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Running 1 test case...
+Tolerance for type float is 2.38419e-005 %
+Tolerance for type double is 4.44089e-014 %
+Tolerance for type long double is 4.44089e-014 %
+Tolerance for type class boost::math::concepts::real_concept is 4.44089e-014 %
+*** No errors detected
+
+*/
+
diff --git a/src/boost/libs/math/test/test_ellint_1.cpp b/src/boost/libs/math/test/test_ellint_1.cpp
new file mode 100644
index 000000000..b5cb2a359
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_1.cpp
@@ -0,0 +1,101 @@
+//  Copyright Xiaogang Zhang 2006
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_1.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integrals of the first kind.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 5, 3);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 5, 3);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_1.hpp b/src/boost/libs/math/test/test_ellint_1.hpp
new file mode 100644
index 000000000..459e74238
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_1.hpp
@@ -0,0 +1,149 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_f(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_1_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_1_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_1<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_1;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_1", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_k(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_1C_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+    boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_1C_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type) = ELLINT_1C_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type (*fp1)(value_type) = boost::math::ellint_1<value_type>;
+#else
+   value_type (*fp1)(value_type) = boost::math::ellint_1;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_1 (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticF accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 22> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(-10.0), SC_(0.0), SC_(-10.0) }},
+        {{ SC_(-1.0), SC_(-1.0), SC_(-1.2261911708835170708130609674719067527242483502207) }},
+        {{ SC_(-4.0), SC_(0.875), SC_(-5.3190556182262405182189463092940736859067548232647) }},
+        {{ SC_(8.0), SC_(-0.625), SC_(9.0419973860310100524448893214394562615252527557062) }},
+        {{ SC_(1e-05), SC_(0.875), SC_(0.000010000000000127604166668510945638036143355898993088) }},
+        {{ SC_(1e+05), SC_(0.009765625) /*T(10)/1024*/, SC_(100002.38431454899771096037307519328741455615271038) }},
+        {{ SC_(1e-20), SC_(1.0), SC_(1.0000000000000000000000000000000000000000166666667e-20) }},
+        {{ SC_(1e-20), SC_(1e-20), SC_(1.000000000000000e-20) }},
+        {{ SC_(1e+20), SC_(0.390625) /*T(400)/1024*/, SC_(1.0418143796499216839719289963154558027005142709763e20) }},
+        {{ SC_(1e+50), SC_(0.875), SC_(1.3913251718238765549409892714295358043696028445944e50) }},
+        {{ SC_(2.0), SC_(0.5), SC_(2.1765877052210673672479877957388515321497888026770) }},
+        {{ SC_(4.0), SC_(0.5), SC_(4.2543274975235836861894752787874633017836785640477) }},
+        {{ SC_(6.0), SC_(0.5), SC_(6.4588766202317746302999080620490579800463614807916) }},
+        {{ SC_(10.0), SC_(0.5), SC_(10.697409951222544858346795279378531495869386960090) }},
+        {{ SC_(-2.0), SC_(0.5), SC_(-2.1765877052210673672479877957388515321497888026770) }},
+        {{ SC_(-4.0), SC_(0.5), SC_(-4.2543274975235836861894752787874633017836785640477) }},
+        {{ SC_(-6.0), SC_(0.5), SC_(-6.4588766202317746302999080620490579800463614807916) }},
+        {{ SC_(-10.0), SC_(0.5), SC_(-10.697409951222544858346795279378531495869386960090) }},
+        // Some values where k is > 1:
+        {{ SC_(0.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(1.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(0.154661869446904722070471580919758948531148566762183486996920)}},
+        {{ SC_(0.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(1.461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461), SC_(0.155166467455029577314314021156113481657713115640002027219)}},
+        {{ SC_(0.1538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538), SC_(2.461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461), SC_(0.15776272074094290829870142225970052217542486917945444918)}},
+    }};
+
+    do_test_ellint_f<T>(data1, type_name, "Elliptic Integral F: Mathworld Data");
+
+#include "ellint_f_data.ipp"
+
+    do_test_ellint_f<T>(ellint_f_data, type_name, "Elliptic Integral F: Random Data");
+
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticK accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 9> data2 = {{
+        {{ SC_(0.0), SC_(1.5707963267948966192313216916397514420985846996876) }},
+        {{ SC_(0.125), SC_(1.5769867712158131421244030532288080803822271060839) }},
+        {{ SC_(0.25), SC_(1.5962422221317835101489690714979498795055744578951) }},
+        {{ SC_(0.29296875) /*T(300)/1024*/, SC_(1.6062331054696636704261124078746600894998873503208) }},
+        {{ SC_(0.390625) /*T(400)/1024*/, SC_(1.6364782007562008756208066125715722889067992997614) }},
+        {{ SC_(-0.5), SC_(1.6857503548125960428712036577990769895008008941411) }},
+        {{ SC_(-0.75), SC_(1.9109897807518291965531482187613425592531451316788) }},
+        {{ SC_(0.875) /*1-T(1)/8*/, SC_(2.185488469278223686913080323730158689730428415766) }},
+        {{ SC_(0.9990234375) /*1-T(1)/1024*/, SC_(4.5074135978990422666372495313621124487894807327687) }},
+    }};
+
+    do_test_ellint_k<T>(data2, type_name, "Elliptic Integral K: Mathworld Data");
+
+#include "ellint_k_data.ipp"
+
+    do_test_ellint_k<T>(ellint_k_data, type_name, "Elliptic Integral K: Random Data");
+
+    //
+    // Test error handling:
+    //
+    BOOST_CHECK_GE(boost::math::ellint_1(T(1)), boost::math::tools::max_value<T>());
+    BOOST_CHECK_GE(boost::math::ellint_1(T(-1)), boost::math::tools::max_value<T>());
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(1.0001)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(-1.0001)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(2.2), T(0.5)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_1(T(-2.2), T(0.5)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_ellint_2.cpp b/src/boost/libs/math/test/test_ellint_2.cpp
new file mode 100644
index 000000000..d618569de
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_2.cpp
@@ -0,0 +1,102 @@
+//  Copyright Xiaogang Zhang 2006
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_2.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integrals of the second kind.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_2.hpp b/src/boost/libs/math/test/test_ellint_2.hpp
new file mode 100644
index 000000000..4101dead5
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_2.hpp
@@ -0,0 +1,141 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_e2(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_2_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+#ifdef ELLINT_2_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_2_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_2<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_2;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_2", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_e1(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_2C_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+    boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_2C_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type) = ELLINT_2C_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type (*fp1)(value_type) = boost::math::ellint_2<value_type>;
+#else
+   value_type (*fp1)(value_type) = boost::math::ellint_2;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_2 (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 12> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0) }},
+        {{ SC_(-10.0), SC_(0.0), SC_(-10.0) }},
+        {{ SC_(-1.0), SC_(-1.0), SC_(-0.84147098480789650665250232163029899962256306079837) }},
+        {{ SC_(-4.0), SC_(0.87890625) /*T(900) / 1024*/, SC_(-3.1756145986492562317862928524528520686391383168377) }},
+        {{ SC_(8.0), SC_(-0.5859375) /*T(-600) / 1024*/, SC_(7.2473147180505693037677015377802777959345489333465) }},
+        {{ SC_(1e-05), SC_(0.78125) /*T(800) / 1024*/, SC_(9.999999999898274739584436515967055859383969942432E-6) }},
+        {{ SC_(1e+05), SC_(0.09765625) /*T(100) / 1024*/, SC_(99761.153306972066658135668386691227343323331995888) }},
+        {{ SC_(1e+10), SC_(-0.5), SC_(9.3421545766487137036576748555295222252286528414669e9) }},
+        {{ SC_(7.3786976294838206464e19) /*static_cast<T>(ldexp(T(1), 66))*/, SC_(0.390625) /*T(400) / 1024*/, SC_(7.0886102721911705466476846969992069994308167515242e19) }},
+        {{ SC_(9.3536104789177786765035829293842113257979682750464e49) /*static_cast<T>(ldexp(T(1), 166))*/, SC_(0.87890625) /*T(900) / 1024*/, SC_(7.1259011068364515942912094521783688927118026465790e49) }},
+        {{ SC_(0.25), SC_(1.5), SC_(0.244087118441983436818717707617920319373286836562840) }},
+        {{ SC_(0.125), SC_(4.5), SC_(0.118076756678411098995742003403224531993649663256045) }},
+    }};
+
+    do_test_ellint_e2<T>(data1, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_e2_data.ipp"
+
+    do_test_ellint_e2<T>(ellint_e2_data, type_name, "Elliptic Integral E: Random Data");
+
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 10> data2 = {{
+        {{ SC_(-1.0), SC_(1.0) }},
+        {{ SC_(0.0), SC_(1.5707963267948966192313216916397514420985846996876) }},
+        {{ SC_(0.09765625) /*T(100) / 1024*/, SC_(1.5670445330545086723323795143598956428788609133377) }},
+        {{ SC_(0.1953125) /*T(200) / 1024*/, SC_(1.5557071588766556854463404816624361127847775545087) }},
+        {{ SC_(0.29296875) /*T(300) / 1024*/, SC_(1.5365278991162754883035625322482669608948678755743) }},
+        {{ SC_(0.390625) /*T(400) / 1024*/, SC_(1.5090417763083482272165682786143770446401437564021) }},
+        {{ SC_(-0.5), SC_(1.4674622093394271554597952669909161360253617523272) }},
+        {{ SC_(-0.5859375) /*T(-600) / 1024*/, SC_(1.4257538571071297192428217218834579920545946473778) }},
+        {{ SC_(-0.78125) /*T(-800) / 1024*/, SC_(1.2927868476159125056958680222998765985004489572909) }},
+        {{ SC_(-0.87890625) /*T(-900) / 1024*/, SC_(1.1966864890248739524112920627353824133420353430982) }},
+    }};
+
+    do_test_ellint_e1<T>(data2, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_e_data.ipp"
+
+    do_test_ellint_e1<T>(ellint_e_data, type_name, "Elliptic Integral E: Random Data");
+
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 72> small_angles = { {
+       {{ SC_(0.00097656250000000000000000000000000000000000000000000), SC_(0.5), SC_(0.00097656246119489873806295171767681128826061680891539) }},{{ SC_(0.00048828125000000000000000000000000000000000000000000), SC_(0.5), SC_(0.00048828124514936177847275804383491089917731651869089) }},{{ SC_(0.00024414062500000000000000000000000000000000000000000), SC_(0.5), SC_(0.00024414062439367020469080959924292294147407037569089) }},{{ SC_(0.00012207031250000000000000000000000000000000000000000), SC_(0.5), SC_(0.00012207031242420877503577978533579671450656676021144) }},{{ SC_(0.000061035156250000000000000000000000000000000000000000), SC_(0.5), SC_(0.000061035156240526096862267116434822602398026203555135) }},{{ SC_(0.000030517578125000000000000000000000000000000000000000), SC_(0.5), SC_(0.000030517578123815762107245722156263286910312978330942) }},{{ SC_(0.000015258789062500000000000000000000000000000000000000), SC_(0.5), SC_(0.000015258789062351970263388913163340973814136929083865) }},{{ SC_(7.6293945312500000000000000000000000000000000000000e-6), SC_(0.5), SC_(7.6293945312314962829230890795991108894734462126936e-6) }},{{ SC_(3.8146972656250000000000000000000000000000000000000e-6), SC_(0.5), SC_(3.8146972656226870353653697266430602974836595561218e-6) }},{{ SC_(1.9073486328125000000000000000000000000000000000000e-6), SC_(0.5), SC_(1.9073486328122108794206707030707941437882919842603e-6) }},{{ SC_(9.5367431640625000000000000000000000000000000000000e-7), SC_(0.5), SC_(9.5367431640621385992758382186011213067376941980499e-7) }},{{ SC_(4.7683715820312500000000000000000000000000000000000e-7), SC_(0.5), SC_(4.7683715820312048249094797723177223079355575583105e-7) }},{{ SC_(2.3841857910156250000000000000000000000000000000000e-7), SC_(0.5), SC_(2.3841857910156193531136849713832334805104830239272e-7) }},{{ SC_(1.1920928955078125000000000000000000000000000000000e-7), SC_(0.5), SC_(1.1920928955078117941392106214180141285643896716624e-7) }},{{ SC_(5.9604644775390625000000000000000000000000000000000e-8), SC_(0.5), SC_(5.9604644775390616176740132767709895180494181165759e-8) }},{{ SC_(2.9802322387695312500000000000000000000000000000000e-8), SC_(0.5), SC_(2.9802322387695311397092516595963259352981751091479e-8) }},{{ SC_(1.4901161193847656250000000000000000000000000000000e-8), SC_(0.5), SC_(1.4901161193847656112136564574495392495854593212863e-8) }},{{ SC_(7.4505805969238281250000000000000000000000000000000e-9), SC_(0.5), SC_(7.4505805969238281077670705718119235956296952243088e-9) }},{{ SC_(3.7252902984619140625000000000000000000000000000000e-9), SC_(0.5), SC_(3.7252902984619140603458838214764904348802078740605e-9) }},{{ SC_(1.8626451492309570312500000000000000000000000000000e-9), SC_(0.5), SC_(1.8626451492309570309807354776845613039046039833520e-9) }},{{ SC_(9.3132257461547851562500000000000000000000000000000e-10), SC_(0.5), SC_(9.3132257461547851559134193471057016297384356039070e-10) }},{{ SC_(4.6566128730773925781250000000000000000000000000000e-10), SC_(0.5), SC_(4.6566128730773925780829274183882127037128569700108e-10) }},{{ SC_(2.3283064365386962890625000000000000000000000000000e-10), SC_(0.5), SC_(2.3283064365386962890572409272985265879639681374864e-10) }},{{ SC_(1.1641532182693481445312500000000000000000000000000e-10), SC_(0.5), SC_(1.1641532182693481445305926159123158234954916739431e-10) }},{{ SC_(5.8207660913467407226562500000000000000000000000000e-11), SC_(0.5), SC_(5.8207660913467407226554282698903947793693632351656e-11) }},{{ SC_(2.9103830456733703613281250000000000000000000000000e-11), SC_(0.5), SC_(2.9103830456733703613280222837362993474211703619812e-11) }},{{ SC_(1.4551915228366851806640625000000000000000000000000e-11), SC_(0.5), SC_(1.4551915228366851806640496604670374184276462939222e-11) }},{{ SC_(7.2759576141834259033203125000000000000000000000000e-12), SC_(0.5), SC_(7.2759576141834259033202964505837967730345578669885e-12) }},{{ SC_(3.6379788070917129516601562500000000000000000000000e-12), SC_(0.5), SC_(3.6379788070917129516601542438229745966293197333606e-12) }},{{ SC_(1.8189894035458564758300781250000000000000000000000e-12), SC_(0.5), SC_(1.8189894035458564758300778742278718245786649666697e-12) }},{{ SC_(9.0949470177292823791503906250000000000000000000000e-13), SC_(0.5), SC_(9.0949470177292823791503903115348397807233312083370e-13) }},{{ SC_(4.5474735088646411895751953125000000000000000000000e-13), SC_(0.5), SC_(4.5474735088646411895751952733168549725904164010421e-13) }},{{ SC_(2.2737367544323205947875976562500000000000000000000e-13), SC_(0.5), SC_(2.2737367544323205947875976513521068715738020501303e-13) }},{{ SC_(1.1368683772161602973937988281250000000000000000000e-13), SC_(0.5), SC_(1.1368683772161602973937988275127633589467252562663e-13) }},{{ SC_(5.6843418860808014869689941406250000000000000000000e-14), SC_(0.5), SC_(5.6843418860808014869689941398597041986834065703329e-14) }},{{ SC_(2.8421709430404007434844970703125000000000000000000e-14), SC_(0.5), SC_(2.8421709430404007434844970702168380248354258212916e-14) }},{{ SC_(1.4210854715202003717422485351562500000000000000000e-14), SC_(0.5), SC_(1.4210854715202003717422485351442922531044282276615e-14) }},{{ SC_(7.1054273576010018587112426757812500000000000000000e-15), SC_(0.5), SC_(7.1054273576010018587112426757663028163805352845768e-15) }},{{ SC_(3.5527136788005009293556213378906250000000000000000e-15), SC_(0.5), SC_(3.5527136788005009293556213378887566020475669105721e-15) }},{{ SC_(1.7763568394002504646778106689453125000000000000000e-15), SC_(0.5), SC_(1.7763568394002504646778106689450789502559458638215e-15) }},{{ SC_(8.8817841970012523233890533447265625000000000000000e-16), SC_(0.5), SC_(8.8817841970012523233890533447262705628199323297769e-16) }},{{ SC_(4.4408920985006261616945266723632812500000000000000e-16), SC_(0.5), SC_(4.4408920985006261616945266723632447578524915412221e-16) }},{{ SC_(2.2204460492503130808472633361816406250000000000000e-16), SC_(0.5), SC_(2.2204460492503130808472633361816360634815614426528e-16) }},{{ SC_(1.1102230246251565404236316680908203125000000000000e-16), SC_(0.5), SC_(1.1102230246251565404236316680908197423101951803316e-16) }},{{ SC_(5.5511151231257827021181583404541015625000000000000e-17), SC_(0.5), SC_(5.5511151231257827021181583404541008497627439754145e-17) }},{{ SC_(2.7755575615628913510590791702270507812500000000000e-17), SC_(0.5), SC_(2.7755575615628913510590791702270506921578429969268e-17) }},{{ SC_(1.3877787807814456755295395851135253906250000000000e-17), SC_(0.5), SC_(1.3877787807814456755295395851135253794884803746159e-17) }},{{ SC_(6.9388939039072283776476979255676269531250000000000e-18), SC_(0.5), SC_(6.9388939039072283776476979255676269392043504682698e-18) }},{{ SC_(3.4694469519536141888238489627838134765625000000000e-18), SC_(0.5), SC_(3.4694469519536141888238489627838134748224188085337e-18) }},{{ SC_(1.7347234759768070944119244813919067382812500000000e-18), SC_(0.5), SC_(1.7347234759768070944119244813919067380637398510667e-18) }},{{ SC_(8.6736173798840354720596224069595336914062500000000e-19), SC_(0.5), SC_(8.6736173798840354720596224069595336911343623138334e-19) }},{{ SC_(4.3368086899420177360298112034797668457031250000000e-19), SC_(0.5), SC_(4.3368086899420177360298112034797668456691390392292e-19) }},{{ SC_(2.1684043449710088680149056017398834228515625000000e-19), SC_(0.5), SC_(2.1684043449710088680149056017398834228473142549036e-19) }},{{ SC_(1.0842021724855044340074528008699417114257812500000e-19), SC_(0.5), SC_(1.0842021724855044340074528008699417114252502193630e-19) }},{{ SC_(5.4210108624275221700372640043497085571289062500000e-20), SC_(0.5), SC_(5.4210108624275221700372640043497085571282424617037e-20) }},{{ SC_(2.7105054312137610850186320021748542785644531250000e-20), SC_(0.5), SC_(2.7105054312137610850186320021748542785643701514630e-20) }},{{ SC_(1.3552527156068805425093160010874271392822265625000e-20), SC_(0.5), SC_(1.3552527156068805425093160010874271392822161908079e-20) }},{{ SC_(6.7762635780344027125465800054371356964111328125000e-21), SC_(0.5), SC_(6.7762635780344027125465800054371356964111198478848e-21) }},{{ SC_(3.3881317890172013562732900027185678482055664062500e-21), SC_(0.5), SC_(3.3881317890172013562732900027185678482055647856731e-21) }},{{ SC_(1.6940658945086006781366450013592839241027832031250e-21), SC_(0.5), SC_(1.6940658945086006781366450013592839241027830005529e-21) }},{{ SC_(8.4703294725430033906832250067964196205139160156250e-22), SC_(0.5), SC_(8.4703294725430033906832250067964196205139157624099e-22) }},{{ SC_(4.2351647362715016953416125033982098102569580078125e-22), SC_(0.5), SC_(4.2351647362715016953416125033982098102569579761606e-22) }},{{ SC_(2.1175823681357508476708062516991049051284790039062e-22), SC_(0.5), SC_(2.1175823681357508476708062516991049051284789999498e-22) }},{{ SC_(1.0587911840678754238354031258495524525642395019531e-22), SC_(0.5), SC_(1.0587911840678754238354031258495524525642395014586e-22) }},{{ SC_(5.2939559203393771191770156292477622628211975097656e-23), SC_(0.5), SC_(5.2939559203393771191770156292477622628211975091474e-23) }},{{ SC_(2.6469779601696885595885078146238811314105987548828e-23), SC_(0.5), SC_(2.6469779601696885595885078146238811314105987548055e-23) }},{{ SC_(1.3234889800848442797942539073119405657052993774414e-23), SC_(0.5), SC_(1.3234889800848442797942539073119405657052993774317e-23) }},{{ SC_(6.6174449004242213989712695365597028285264968872070e-24), SC_(0.5), SC_(6.6174449004242213989712695365597028285264968871950e-24) }},{{ SC_(3.3087224502121106994856347682798514142632484436035e-24), SC_(0.5), SC_(3.3087224502121106994856347682798514142632484436020e-24) }},{{ SC_(1.6543612251060553497428173841399257071316242218018e-24), SC_(0.5), SC_(1.6543612251060553497428173841399257071316242218016e-24) }},{{ SC_(8.2718061255302767487140869206996285356581211090088e-25), SC_(0.5), SC_(8.2718061255302767487140869206996285356581211090086e-25) }},{{ SC_(4.1359030627651383743570434603498142678290605545044e-25), SC_(0.5), SC_(4.1359030627651383743570434603498142678290605545044e-25) }}
+    } };
+    do_test_ellint_e2<T>(small_angles, type_name, "Elliptic Integral E: Small Angles");
+    //
+    // Test error handling:
+    //
+    BOOST_CHECK_EQUAL(boost::math::ellint_2(T(1)), T(1));
+    BOOST_CHECK_EQUAL(boost::math::ellint_2(T(-1)), T(1));
+    BOOST_CHECK_THROW(boost::math::ellint_2(T(1.5)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::ellint_2(T(-1.5)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_ellint_3.cpp b/src/boost/libs/math/test/test_ellint_3.cpp
new file mode 100644
index 000000000..18b82e648
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_3.cpp
@@ -0,0 +1,106 @@
+//  Copyright Xiaogang Zhang 2006
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_3.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integrals of the third kind.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Large.*",      // test data group
+      ".*", 50, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Mathworld.*",      // test data group
+      ".*", 600, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 8);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_3.hpp b/src/boost/libs/math/test/test_ellint_3.hpp
new file mode 100644
index 000000000..3e7cdef07
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_3.hpp
@@ -0,0 +1,224 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+
+template <class Real, typename T>
+void do_test_ellint_pi3(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_3_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_3_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type, value_type) = ELLINT_3_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type, value_type) = boost::math::ellint_3<value_type, value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type, value_type) = boost::math::ellint_3;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 2, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_3", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_pi2(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_3C_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_3C_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_3C_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_3<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_3;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_3 (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 4>, 70> data1 = {{
+        {{ SC_(1.0), SC_(-1.0), SC_(0.0), SC_(-1.557407724654902230506974807458360173087) }},
+        {{ SC_(0.0), SC_(-4.0), SC_(0.4), SC_(-4.153623371196831087495427530365430979011) }},
+        {{ SC_(0.0), SC_(8.0), SC_(-0.6), SC_(8.935930619078575123490612395578518914416) }},
+        {{ SC_(0.0), SC_(0.5), SC_(0.25), SC_(0.501246705365439492445236118603525029757890291780157969500480) }},
+        {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(0.5) }},
+        {{ SC_(-2.0), SC_(0.5), SC_(0.0), SC_(0.437501067017546278595664813509803743009132067629603474488486) }},
+        {{ SC_(0.25), SC_(0.5), SC_(0.0), SC_(0.510269830229213412212501938035914557628394166585442994564135) }},
+        {{ SC_(0.75), SC_(0.5), SC_(0.0), SC_(0.533293253875952645421201146925578536430596894471541312806165) }},
+        {{ SC_(0.75), SC_(0.75), SC_(0.0), SC_(0.871827580412760575085768367421866079353646112288567703061975) }},
+        {{ SC_(1.0), SC_(0.25), SC_(0.0), SC_(0.255341921221036266504482236490473678204201638800822621740476) }},
+        {{ SC_(2.0), SC_(0.25), SC_(0.0), SC_(0.261119051639220165094943572468224137699644963125853641716219) }},
+        {{ SC_(0.9990234375) /*T(1023)/1024*/, SC_(1.5), SC_(0.0), SC_(13.2821612239764190363647953338544569682942329604483733197131) }},
+        {{ SC_(0.5), SC_(-1.0), SC_(0.5), SC_(-1.228014414316220642611298946293865487807) }},
+        {{ SC_(0.5), SC_(1e+10), SC_(0.5), SC_(1.536591003599172091573590441336982730551e+10) }},
+        {{ SC_(-1e+05), SC_(10.0), SC_(0.75), SC_(0.0347926099493147087821620459290460547131012904008557007934290) }},
+        {{ SC_(-1e+10), SC_(10.0), SC_(0.875), SC_(0.000109956202759561502329123384755016959364346382187364656768212) }},
+        {{ SC_(-1e+10), SC_(1e+20), SC_(0.875), SC_(1.00000626665567332602765201107198822183913978895904937646809e15) }},
+        {{ SC_(-1e+10), SC_(1.5703125) /*T(1608)/1024*/, SC_(0.875), SC_(0.0000157080616044072676127333183571107873332593142625043567690379) }},
+        {{ SC_(0.9990234375) /*1-T(1) / 1024*/, SC_(1e+20), SC_(0.875), SC_(6.43274293944380717581167058274600202023334985100499739678963e21) }},
+        {{ SC_(50.0), SC_(0.125), SC_(0.25), SC_(0.196321043776719739372196642514913879497104766409504746018939) }},
+        {{ SC_(1.125), SC_(1.0), SC_(0.25), SC_(1.77299767784815770192352979665283069318388205110727241629752) }},
+        {{ SC_(1.125), SC_(10.0), SC_(0.25), SC_(0.662467818678976949597336360256848770217429434745967677192487) }},
+        {{ SC_(1.125), SC_(3.0), SC_(0.25), SC_(-0.142697285116693775525461312178015106079842313950476205580178) }},
+        {{ SC_(1.00390625) /*T(257)/256*/, SC_(1.5), SC_(0.125), SC_(22.2699300473528164111357290313578126108398839810535700884237) }},
+        {{ SC_(1.00390625) /*T(257)/256*/, SC_(21.5), SC_(0.125), SC_(-0.535406081652313940727588125663856894154526187713506526799429) }},
+        // Bug cases from Rocco Romeo:
+        { { SC_(-1E-170), SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+        { { SC_(-1E-170), SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(-1E-164), SC_(0.785398163397448309615660845819875721049292349843776455243736) } },
+        { { SC_(-2.220446049250313080847263336181640625e-16) /*-ldexp(T(1.0), -52)*/, SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+        { { SC_(-2.220446049250313080847263336181640625e-16) /*-ldexp(T(1.0), -52)*/, SC_(0.785398163397448309615660845819875721049292349843776455243) /*boost::math::constants::pi<T>() / 4*/, SC_(-0.9375), SC_(0.866032844934895872810905364370384153285798081574191920571016) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? SC_(-6.63922491020958873361985258190585784161991397158789903999305172750504449826065303423953127831536607086111661e181) /*-ldexp(T(1), 604)*/ : SC_(0.0),
+               SC_(-2.2883557340936751629907904626893087059630763187242253081319190179713605588564915508590211920126569156532129e-246) /*-ldexp(T(1), -816)*/, 
+               SC_(2.9833362924800826973163861261851735349505886138401627577086073332825113540280473219744699561601711213446046e-154) /*ldexp(T(1), -510)*/, std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? SC_(-6.63922491020958873361985258190585784161991397158789903999305172750504449826065303423953127831536607086111661e181) /*-ldexp(T(1), 604)*/ : SC_(0.0),
+              SC_(-2.2883557340936751629907904626893087059630763187242253081319190179713605588564915508590211920126569156532129e-246) /*-ldexp(T(1), -816)*/,  
+              SC_(-2.9833362924800826973163861261851735349505886138401627577086073332825113540280473219744699561601711213446046e-154) /*-ldexp(T(1), -510)*/, 
+              std::numeric_limits<T>::max_exponent > 600 ? SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) : SC_(-2.28835573409367516299079046268930870596307631872422530813192e-246) } },
+        { { SC_(-5.7456966998645880645292998187840197954917072165248345657117366246194931336885953843013801519761445019343718e-188) /*-ldexp(T(1), -622)*/, SC_(-1.4996968138956309548176444376280653535399616962391082979373344476177108558521903027709681283974148362424896e-241) /*-ldexp(T(1), -800)*/, SC_(1.83670992315982423120115083940975887159166493245638675235742454106002696789801120758056640625e-40) /*ldexp(T(1), -132)*/, SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+        { { SC_(-5.7456966998645880645292998187840197954917072165248345657117366246194931336885953843013801519761445019343718e-188) /*-ldexp(T(1), -622)*/, SC_(-1.4996968138956309548176444376280653535399616962391082979373344476177108558521903027709681283974148362424896e-241) /*-ldexp(T(1), -800)*/, SC_(-1.83670992315982423120115083940975887159166493245638675235742454106002696789801120758056640625e-40) /*-ldexp(T(1), -132)*/, SC_(-1.49969681389563095481764443762806535353996169623910829793733e-241) } },
+        { { SC_(-6.6243372842224761350235742755846980122105019136217468782770353048106301097687150169478930287429355091446506e-170) /*-ldexp(T(1), -562)*/, SC_(7.1746481373430634031294954664443705921549411424077607513961896135157303433516062796115875244140625e-43) /*ldexp(T(1), -140)*/, SC_(8.6361685550944446253863518628003995711160003644362813850237034701685918031624270579715075034722882265605472e-78) /*ldexp(T(1), -256)*/, SC_(7.174648137343063403129495466444370592154941142407760751e-43) } },
+        { { SC_(-6.6243372842224761350235742755846980122105019136217468782770353048106301097687150169478930287429355091446506e-170) /*-ldexp(T(1), -562)*/, SC_(-7.1746481373430634031294954664443705921549411424077607513961896135157303433516062796115875244140625e-43) /*-ldexp(T(1), -140)*/, SC_(8.6361685550944446253863518628003995711160003644362813850237034701685918031624270579715075034722882265605472e-78) /*ldexp(T(1), -256)*/, SC_(-7.17464813734306340312949546644437059215494114240776075e-43) } },
+        { { SC_(7.7868710555449746371177365743005823355489124613059339568813918517897390050405261457702973319275391516778931e-208) /*ldexp(T(1), -688)*/, SC_(-7.0747492803333690371164994460060873286582274985462017106114178827621104051506602458902589468444985151984003e-74) /*-ldexp(T(1), -243)*/, SC_(7.9654595556622613851444019888385590279555227759630939303694292669308145075652908047154493736009134297049172e-59) /*ldexp(T(1), -193)*/, SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+        { { SC_(-7.7868710555449746371177365743005823355489124613059339568813918517897390050405261457702973319275391516778931e-208) /*-ldexp(T(1), -688)*/, SC_(-7.0747492803333690371164994460060873286582274985462017106114178827621104051506602458902589468444985151984003e-74) /*-ldexp(T(1), -243)*/, SC_(7.9654595556622613851444019888385590279555227759630939303694292669308145075652908047154493736009134297049172e-59) /*ldexp(T(1), -193)*/, SC_(-7.07474928033336903711649944600608732865822749854620171e-74) } },
+        // Special cases where k = 0:
+        { { SC_(0.5), SC_(1.0), SC_(0.0), SC_(1.17881507892743738986863357869566288974084658835353613038547) } },
+        { { SC_(-0.5), SC_(1.0), SC_(0.0), SC_(0.888286691263535380266337576823783210424994266596287990733270) } },
+        { { SC_(0.5), SC_(-1.0), SC_(0.0), SC_(-1.17881507892743738986863357869566288974084658835353613038547) } },
+        { { SC_(-0.5), SC_(-1.0), SC_(0.0), SC_(-0.888286691263535380266337576823783210424994266596287990733270) } },
+        // k == 0 and phi > pi/2:
+        { { SC_(0.5), SC_(2.0), SC_(0.0), SC_(3.03379730757207227653600089552126882582809860566558143254794) } },
+        { { SC_(-0.5), SC_(2.0), SC_(0.0), SC_(1.57453655812023739911111328195028658229986230310938753315640) } },
+        { { SC_(0.5), SC_(-2.0), SC_(0.0), SC_(-3.03379730757207227653600089552126882582809860566558143254794) } },
+        { { SC_(-0.5), SC_(-2.0), SC_(0.0), SC_(-1.57453655812023739911111328195028658229986230310938753315640) } },
+        // Special cases where k = 1:
+        { { SC_(0.5), SC_(1.0), SC_(1.0), SC_(1.4830998734200773326887632776553375078936815318419194718912351) } },
+        { { SC_(-0.5), SC_(1.0), SC_(1.0), SC_(1.07048347329000030842347009377117215811122412769516781788253) } },
+        { { SC_(0.5), SC_(-1.0), SC_(1.0), SC_(-1.4830998734200773326887632776553375078936815318419194718912) } },
+        { { SC_(-0.5), SC_(-1.0), SC_(1.0), SC_(-1.07048347329000030842347009377117215811122412769516781788253) } },
+        // special cases where v = 1:
+        { { SC_(1.0), SC_(0.5), SC_(0.5), SC_(0.55225234291197632914658859230278152249148960801635386133501) } },
+        { { SC_(1.0), SC_(-0.5), SC_(0.5), SC_(-0.55225234291197632914658859230278152249148960801635386133501) } },
+        { { SC_(1.0), SC_(2.0), SC_(0.5), SC_(-2.87534521505997989921579168327307068134740792740155171368532) } },
+        { { SC_(1.0), SC_(-2.0), SC_(0.5), SC_(2.87534521505997989921579168327307068134740792740155171368532) } },
+        { { SC_(1.0), SC_(2.0), SC_(6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*ldexp(T(1), -200)*/, SC_(-2.18503986326151899164330610231368254343201774622766316456295) } },
+        { { SC_(1.0), SC_(-2.0), SC_(6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*ldexp(T(1), -200)*/, SC_(2.18503986326151899164330610231368254343201774622766316456295) } },
+        { { SC_(1.0), SC_(7.00649232162408535461864791644958065640130970938257885878534141944895541342930300743319094181060791015625e-46) /*ldexp(T(1.0), -150)*/, SC_(6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*ldexp(T(1), -200)*/, SC_(7.006492321624085354618647916449580656401309709382578858e-46) } },
+        { { SC_(1.0), SC_(-7.00649232162408535461864791644958065640130970938257885878534141944895541342930300743319094181060791015625e-46) /*ldexp(T(1.0), -150)*/, SC_(-6.2230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665e-61) /*-ldexp(T(1), -200)*/, SC_(-7.006492321624085354618647916449580656401309709382578858e-46) } },
+        // Previously unsupported region with v > 1 and |phi| > PI/2, this is the only region
+        // with high-ish error rates caused by argument reduction by Pi:
+        { { SC_(20.0), SC_(3.1425685882568359375) /*ldexp(T(1647611), -19)*/, SC_(0.5), SC_(0.000975940902692994840122139131147517258405256880370413541280) } },
+        { { SC_(20.0), SC_(-3.1425685882568359375) /*-ldexp(T(1647611), -19)*/, SC_(0.5), SC_(-0.000975940902692994840122139131147517258405256880370413541280) } },
+        { { SC_(1.015625) /*T(1.0) + ldexp(T(1), -6)*/, SC_(1.6957950592041015625) /*ldexp(T(889085), -19)*/, SC_(0.5), SC_(-27.1647225624906589308619292363045712770651414487085887109197) } },
+        { { SC_(1.015625) /*T(1.0) + ldexp(T(1), -6)*/, SC_(-1.6957950592041015625) /*-ldexp(T(889085), -19)*/, SC_(0.5), SC_(27.1647225624906589308619292363045712770651414487085887109197) } },
+        // Phi = 0:
+        { { SC_(1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(-1.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        { { SC_(-100.0), SC_(0.0), SC_(0.5), SC_(0.0) } },
+        // cases where |k| > 1:
+        {{ SC_(1.015625), SC_(0.125), SC_(2.5), SC_(0.12780840244950364924992513047014683502850891674019968726)}},
+        {{ SC_(1.015625), SC_(0.125), SC_(4.5), SC_(0.133468341825478826487248053944106425799790398297092314041)}},
+        {{ SC_(-1.015625), SC_(0.125), SC_(4.5), SC_(0.131998693459801470974303284674812630138938285546080214149)}},
+        {{ SC_(-1.015625), SC_(-0.125), SC_(4.5), SC_(-0.13199869345980147097430328467481263013893828554608021414)}},
+        {{ SC_(-1.015625), SC_(-0.125), SC_(1.5), SC_(-0.12508193549646497011359938978158598001227028251706394704)}},
+    } };
+
+    do_test_ellint_pi3<T>(data1, type_name, "Elliptic Integral PI: Mathworld Data");
+
+#include "ellint_pi3_data.ipp"
+
+    do_test_ellint_pi3<T>(ellint_pi3_data, type_name, "Elliptic Integral PI: Random Data");
+
+#include "ellint_pi3_large_data.ipp"
+
+    do_test_ellint_pi3<T>(ellint_pi3_large_data, type_name, "Elliptic Integral PI: Large Random Data");
+
+    // function values calculated on http://functions.wolfram.com/
+    static const boost::array<boost::array<typename table_type<T>::type, 3>, 17> data2 = {{
+        {{ SC_(0.0), SC_(0.2), SC_(1.586867847454166237308008033828114192951) }},
+        {{ SC_(0.0), SC_(0.4), SC_(1.639999865864511206865258329748601457626) }},
+        {{ SC_(0.0), SC_(0.0), SC_(1.57079632679489661923132169163975144209858469968755291048747) }},
+        {{ SC_(0.5), SC_(0.0), SC_(2.221441469079183123507940495030346849307) }},
+        {{ SC_(-4.0), SC_(0.3), SC_(0.712708870925620061597924858162260293305195624270730660081949) }},
+        {{ SC_(-1e+05), SC_(-0.5), SC_(0.00496944596485066055800109163256108604615568144080386919012831) }},
+        {{ SC_(-1e+10), SC_(-0.75), SC_(0.0000157080225184890546939710019277357161497407143903832703317801) }},
+        {{ SC_(0.0009765625) /*T(1) / 1024*/, SC_(-0.875), SC_(2.18674503176462374414944618968850352696579451638002110619287) }},
+        {{ SC_(0.9990234375) /*T(1023)/1024*/, SC_(-0.875), SC_(101.045289804941384100960063898569538919135722087486350366997) }},
+        // Bug cases from Rocco Romeo:
+        { { SC_(1e-175), SC_(0.0), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(1e-170), SC_(1E-164), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(1e-170), SC_(-1E-164), SC_(1.57079632679489661923132169163975144209858469968755291048747) } },
+        { { SC_(-3.3306690738754696212708950042724609375e-16) /*-1.5f * ldexp(T(1), -52)*/, SC_(-0.9375), SC_(2.48840049140103464299631535211815755485846563527849342319632) } },
+        { { SC_(-3.3306690738754696212708950042724609375e-16) /*-1.5f * ldexp(T(1), -52)*/, SC_(0.9375), SC_(2.48840049140103464299631535211815755485846563527849342319632) } },
+        { { SC_(2.6497349136889904540094297102338792048842007654486987513108141219242520439074860067791572114971742036578602e-169) /*ldexp(T(1), -560)*/, SC_(2.1382117680737565169124291737211855030521575040840389583695499937283189127897042869363986028474755585193634e-50) /*ldexp(T(1), -165)*/, SC_(1.57079632679489661923132169163975144209858469968756130722545) } },
+        { { SC_(2.6497349136889904540094297102338792048842007654486987513108141219242520439074860067791572114971742036578602e-169) /*ldexp(T(1), -560)*/, SC_(-2.1382117680737565169124291737211855030521575040840389583695499937283189127897042869363986028474755585193634e-50) /*-ldexp(T(1), -165)*/, SC_(1.57079632679489661923132169163975144209858469968754451374949) } },
+        { { std::numeric_limits<T>::max_exponent > 600 ? SC_(-4.14951556888099295851240786369116115101244623224243689999565732969065281141290814639970704894710379428819788e180) /*T(-ldexp(T(1), 600))*/ : SC_(0.0), SC_(0.5), std::numeric_limits<T>::max_exponent > 600 ? SC_(7.71118598318249916481121898327895181916104121635240801895419e-91) : SC_(1.68575035481259604287120365779907698950080089414108904411995) } },
+    } };
+
+    do_test_ellint_pi2<T>(data2, type_name, "Complete Elliptic Integral PI: Mathworld Data");
+
+#include "ellint_pi2_data.ipp"
+
+    do_test_ellint_pi2<T>(ellint_pi2_data, type_name, "Complete Elliptic Integral PI: Random Data");
+
+    // Special cases, exceptions etc:
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(2.1), T(-1), T(0.5)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(0.5), T(20), T(1.5)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1.0001), T(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(0.5), T(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(0.5), T(2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1), T(0.5), T(2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1), T(-0.5), T(2)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_3(T(1), T(-0.5), T(-2)), std::domain_error);
+}
diff --git a/src/boost/libs/math/test/test_ellint_d.cpp b/src/boost/libs/math/test/test_ellint_d.cpp
new file mode 100644
index 000000000..5e76a49fb
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_d.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ellint_d.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_ellint_d.hpp b/src/boost/libs/math/test/test_ellint_d.hpp
new file mode 100644
index 000000000..46ec86b87
--- /dev/null
+++ b/src/boost/libs/math/test/test_ellint_d.hpp
@@ -0,0 +1,124 @@
+// Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_ellint_d2(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_D2_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_D2_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = ELLINT_D2_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_d", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, typename T>
+void do_test_ellint_d1(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_D1_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+    boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef ELLINT_D1_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type) = ELLINT_D1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   value_type (*fp1)(value_type) = boost::math::ellint_d<value_type>;
+#else
+   value_type (*fp1)(value_type) = boost::math::ellint_d;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "ellint_d (complete)", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 11> data1 = {{
+       { { SC_(0.5), SC_(0.5), SC_(0.040348098248931543984282958654503585) } },
+        {{ SC_(0), SC_(0.5), SC_(0) }},
+        { { SC_(1), SC_(0.5), SC_(0.28991866293419922467977188008516755) } },
+        { { SC_(1), T(1), SC_(0.38472018607562056416055864584160775) } },
+        { { SC_(-1), T(1), SC_(-0.38472018607562056416055864584160775) } },
+        { { SC_(-1), T(0.5), SC_(-0.28991866293419922467977188008516755) } },
+        { { SC_(-10), T(0.5), SC_(-5.2996914501577855803123384771117708) } },
+        { { SC_(10), SC_(-0.5), SC_(5.2996914501577855803123384771117708) } },
+        { { SC_(0.125), SC_(1.5), SC_(0.000655956467603362564458676111698495009248974444516843) } },
+    }};
+
+    do_test_ellint_d2<T>(data1, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_d2_data.ipp"
+
+    do_test_ellint_d2<T>(ellint_d2_data, type_name, "Elliptic Integral D: Random Data");
+
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 2>, 3> data2 = {{
+       { { SC_(0.5), SC_(0.87315258189267554964563356323264341) } },
+       { { SC_(1.0) / 1024, SC_(0.78539844427788694671464428063604776) } },
+       { { boost::math::tools::root_epsilon<T>(), SC_(0.78539816339744830961566084581987572) } }
+    }};
+
+    do_test_ellint_d1<T>(data2, type_name, "Elliptic Integral E: Mathworld Data");
+
+#include "ellint_d_data.ipp"
+
+    do_test_ellint_d1<T>(ellint_d_data, type_name, "Elliptic Integral D: Random Data");
+
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(1.5)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(-1.5)), std::domain_error);
+}
+
diff --git a/src/boost/libs/math/test/test_erf.cpp b/src/boost/libs/math/test/test_erf.cpp
new file mode 100644
index 000000000..8fed443a6
--- /dev/null
+++ b/src/boost/libs/math/test/test_erf.cpp
@@ -0,0 +1,296 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_erf.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions erf, erfc, and the inverses
+// erf_inv and erfc_inv.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "Erf Function:.*Large.*",      // test data group
+      "erfc", 4300, 1300);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc", 40, 10);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 20, 6);   // test function
+   add_expected_result(
+      ".*",                           // compiler
+      ".*",                           // stdlib
+      ".*",                           // platform
+      "real_concept",                 // test type(s)
+      "Inverse Erfc.*",               // test data group
+      "erfc_inv", 80, 10);  // test function
+
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 2, 2);   // test function
+   add_expected_result(
+      ".*aCC.*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erfc.*",               // test data group
+      "erfc_inv", 80, 10);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erf.*",               // test data group
+      "erfc?_inv", 18, 4);  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+
+   expected_results();
+
+   test_erf(0.1F, "float");
+   test_erf(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_erf(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_erf(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+/*
+
+Output:
+
+test_erf.cpp
+Compiling manifest to resources...
+Linking...
+Embedding manifest...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_erf.exe"
+Running 1 test case...
+Testing basic sanity checks for type float
+Testing basic sanity checks for type double
+Testing basic sanity checks for type long double
+Testing basic sanity checks for type real_concept
+Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32
+Testing Erf Function: Small Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Erf Function: Medium Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Erf Function: Large Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Inverse Erf Function with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<float> Max = 0 RMS Mean=0
+Testing Inverse Erfc Function with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<float> Max = 0 RMS Mean=0
+Testing Erf Function: Small Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0 RMS Mean=0
+boost::math::erfc<double> Max = 0.7857 RMS Mean=0.06415
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0.9219 RMS Mean=0.1016
+    worst case at row: 273
+    { 0.5252, 0.5424, 0.4576 }
+boost::math::erfc<double> Max = 1.08 RMS Mean=0.3224
+    worst case at row: 287
+    { 0.8461, 0.7685, 0.2315 }
+Testing Erf Function: Large Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0 RMS Mean=0
+boost::math::erfc<double> Max = 1.048 RMS Mean=0.2032
+    worst case at row: 50
+    { 20.96, 1, 4.182e-193 }
+Testing Inverse Erf Function with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<double> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<double> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Testing Erf Function: Small Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0 RMS Mean=0
+boost::math::erfc<long double> Max = 0.7857 RMS Mean=0.06415
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0.9219 RMS Mean=0.1016
+    worst case at row: 273
+    { 0.5252, 0.5424, 0.4576 }
+boost::math::erfc<long double> Max = 1.08 RMS Mean=0.3224
+    worst case at row: 287
+    { 0.8461, 0.7685, 0.2315 }
+Testing Erf Function: Large Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0 RMS Mean=0
+boost::math::erfc<long double> Max = 1.048 RMS Mean=0.2032
+    worst case at row: 50
+    { 20.96, 1, 4.182e-193 }
+Testing Inverse Erf Function with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<long double> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<long double> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Testing Erf Function: Small Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 1.271 RMS Mean=0.5381
+    worst case at row: 144
+    { 0.0109, 0.0123, 0.9877 }
+boost::math::erfc<real_concept> Max = 0.7857 RMS Mean=0.07777
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 22.5 RMS Mean=4.224
+    worst case at row: 233
+    { -0.7852, -0.7332, 1.733 }
+Peak error greater than expected value of 20
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed
+boost::math::erfc<real_concept> Max = 97.77 RMS Mean=8.373
+    worst case at row: 289
+    { 0.9849, 0.8363, 0.1637 }
+Peak error greater than expected value of 20
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed
+Mean error greater than expected value of 6
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(151): error in "test_main_caller( argc, argv )": check bounds.second >= mean_error_found failed
+Testing Erf Function: Large Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 0 RMS Mean=0
+boost::math::erfc<real_concept> Max = 1.395 RMS Mean=0.2908
+    worst case at row: 11
+    { 10.99, 1, 1.87e-054 }
+Testing Inverse Erf Function with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<real_concept> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<real_concept> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Test suite "Test Program" failed with:
+  181 assertions out of 184 passed
+  3 assertions out of 184 failed
+  1 test case out of 1 failed
+  Test case "test_main_caller( argc, argv )" failed with:
+    181 assertions out of 184 passed
+    3 assertions out of 184 failed
+Build Time 0:15
+
+*/
diff --git a/src/boost/libs/math/test/test_erf.hpp b/src/boost/libs/math/test/test_erf.hpp
new file mode 100644
index 000000000..be4d64f62
--- /dev/null
+++ b/src/boost/libs/math/test/test_erf.hpp
@@ -0,0 +1,215 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_erf(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef ERF_FUNCTION_TO_TEST
+   pg funcp = ERF_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::erf<value_type>;
+#else
+   pg funcp = boost::math::erf;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test erf against data:
+   //
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erf", test_name);
+#endif
+   //
+   // test erfc against data:
+   //
+#ifdef ERFC_FUNCTION_TO_TEST
+   funcp = ERFC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::erfc<value_type>;
+#else
+   funcp = boost::math::erfc;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERFC_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erfc", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+
+template <class Real, class T>
+void do_test_erf_inv(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERF_INV_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+
+   boost::math::tools::test_result<value_type> result;
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   //
+   // test erf_inv against data:
+   //
+#ifdef ERF_INV_FUNCTION_TO_TEST
+   pg funcp = ERF_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::erf_inv<value_type>;
+#else
+   pg funcp = boost::math::erf_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erf_inv", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_erfc_inv(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ERFC_INV_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+
+   boost::math::tools::test_result<value_type> result;
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+   //
+   // test erfc_inv against data:
+   //
+#ifdef ERFC_INV_FUNCTION_TO_TEST
+   pg funcp = ERFC_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::erfc_inv<value_type>;
+#else
+   pg funcp = boost::math::erfc_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "erfc_inv", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_erf(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "erf_small_data.ipp"
+
+   do_test_erf<T>(erf_small_data, name, "Erf Function: Small Values");
+
+#  include "erf_data.ipp"
+
+   do_test_erf<T>(erf_data, name, "Erf Function: Medium Values");
+
+#  include "erf_large_data.ipp"
+
+   do_test_erf<T>(erf_large_data, name, "Erf Function: Large Values");
+
+#  include "erf_inv_data.ipp"
+
+   do_test_erf_inv<T>(erf_inv_data, name, "Inverse Erf Function");
+
+#  include "erfc_inv_data.ipp"
+
+   do_test_erfc_inv<T>(erfc_inv_data, name, "Inverse Erfc Function");
+
+#  include "erfc_inv_big_data.ipp"
+
+   if(std::numeric_limits<T>::min_exponent <= -4500)
+   {
+      do_test_erfc_inv<T>(erfc_inv_big_data, name, "Inverse Erfc Function: extreme values");
+   }
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.125)), static_cast<T>(0.85968379519866618260697055347837660181302041685015L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.5)), static_cast<T>(0.47950012218695346231725334610803547126354842424204L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(1)), static_cast<T>(0.15729920705028513065877936491739074070393300203370L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(5)), static_cast<T>(1.5374597944280348501883434853833788901180503147234e-12L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.125)), static_cast<T>(1.1403162048013338173930294465216233981869795831498L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.5)), static_cast<T>(1.5204998778130465376827466538919645287364515757580L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0)), static_cast<T>(1), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.125)), static_cast<T>(0.14031620480133381739302944652162339818697958314985L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.5)), static_cast<T>(0.52049987781304653768274665389196452873645157575796L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(1)), static_cast<T>(0.84270079294971486934122063508260925929606699796630L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(5)), static_cast<T>(0.9999999999984625402055719651498116565146166211099L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.125)), static_cast<T>(-0.14031620480133381739302944652162339818697958314985L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.5)), static_cast<T>(-0.52049987781304653768274665389196452873645157575796L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0)), static_cast<T>(0), tolerance);
+
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 200; // 200 eps %.
+#if defined(__CYGWIN__)
+   // some platforms long double is only reliably accurate to double precision:
+   if(sizeof(T) == sizeof(long double))
+      tolerance = boost::math::tools::epsilon<double>() * 100 * 200; // 200 eps %.
+#endif
+
+   for(T i = -0.95f; i < 1; i += 0.125f)
+   {
+      T inv = boost::math::erf_inv(i);
+      T b = boost::math::erf(inv);
+      BOOST_CHECK_CLOSE(b, i, tolerance);
+   }
+   for(T j = 0.125f; j < 2; j += 0.125f)
+   {
+      T inv = boost::math::erfc_inv(j);
+      T b = boost::math::erfc(inv);
+      BOOST_CHECK_CLOSE(b, j, tolerance);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_erf_hooks.hpp b/src/boost/libs/math/test/test_erf_hooks.hpp
new file mode 100644
index 000000000..e1c42af50
--- /dev/null
+++ b/src/boost/libs/math/test/test_erf_hooks.hpp
@@ -0,0 +1,105 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ERF_OTHER_HOOKS_HPP
+
+#ifdef TEST_NATIVE
+namespace other{
+inline float erf(float a)
+{
+   return ::erff(a);
+}
+inline float erfc(float a)
+{
+   return ::erfcf(a);
+}
+inline double erf(double a)
+{
+   return ::erf(a);
+}
+inline double erfc(double a)
+{
+   return ::erfc(a);
+}
+inline long double erf(long double a)
+{
+   return ::erfl(a);
+}
+inline long double erfc(long double a)
+{
+   return ::erfcl(a);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double erf(double);
+   float erff(float);
+   long double erfl(long double);
+}
+inline float erf(float a)
+{ return erff(a); }
+inline long double erf(long double a)
+{
+#ifdef BOOST_MSVC
+   return erf((double)a); 
+#else
+   return erfl(a); 
+#endif
+}
+extern "C" {
+   double erfc(double);
+   float erfcf(float);
+   long double erfcl(long double);
+}
+inline float erfc(float a)
+{ return erfcf(a); }
+inline long double erfc(long double a)
+{
+#ifdef BOOST_MSVC
+   return erfc((double)a); 
+#else
+   return erfcl(a); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_erf.h>
+
+namespace other{
+inline float erf(float a)
+{ return (float)gsl_sf_erf(a); }
+inline double erf(double a)
+{ return gsl_sf_erf(a); }
+inline long double erf(long double a)
+{ return gsl_sf_erf(a); }
+inline float erfc(float a)
+{ return (float)gsl_sf_erfc(a); }
+inline double erfc(double a)
+{ return gsl_sf_erfc(a); }
+inline long double erfc(long double a)
+{ return gsl_sf_erfc(a); }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept erf(boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept erfc(boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_error_handling.cpp b/src/boost/libs/math/test/test_error_handling.cpp
new file mode 100644
index 000000000..400a1647f
--- /dev/null
+++ b/src/boost/libs/math/test/test_error_handling.cpp
@@ -0,0 +1,470 @@
+// Copyright Paul A. Bristow 2006-7.
+// Copyright John Maddock 2006-7.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Test error handling mechanism produces the expected error messages.
+// for example Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0
+
+// Define some custom dummy error handlers that do nothing but throw,
+// in order to check that they are otherwise undefined.
+// The user MUST define them before they can be used.
+//
+struct user_defined_error{};
+
+namespace boost{ namespace math{ namespace policies{
+
+#ifndef BOOST_NO_EXCEPTIONS
+
+template <class T>
+T user_domain_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_pole_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_overflow_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_underflow_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_denorm_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_evaluation_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+
+template <class T>
+T user_indeterminate_result_error(const char* , const char* , const T& )
+{
+   throw user_defined_error();
+}
+#endif
+}}} // namespaces
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/policies/policy.hpp>
+#include <boost/math/policies/error_handling.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <cerrno> // for errno
+#include <iostream>
+#include <iomanip>
+//
+// Define some policies:
+//
+using namespace boost::math::policies;
+policy<
+   domain_error<throw_on_error>,
+   pole_error<throw_on_error>,
+   overflow_error<throw_on_error>,
+   underflow_error<throw_on_error>,
+   denorm_error<throw_on_error>,
+   evaluation_error<throw_on_error>,
+   indeterminate_result_error<throw_on_error> > throw_policy;
+policy<
+   domain_error<errno_on_error>,
+   pole_error<errno_on_error>,
+   overflow_error<errno_on_error>,
+   underflow_error<errno_on_error>,
+   denorm_error<errno_on_error>,
+   evaluation_error<errno_on_error>,
+   indeterminate_result_error<errno_on_error> > errno_policy;
+policy<
+   domain_error<ignore_error>,
+   pole_error<ignore_error>,
+   overflow_error<ignore_error>,
+   underflow_error<ignore_error>,
+   denorm_error<ignore_error>,
+   evaluation_error<ignore_error>,
+   indeterminate_result_error<ignore_error> > ignore_policy;
+policy<
+   domain_error<user_error>,
+   pole_error<user_error>,
+   overflow_error<user_error>,
+   underflow_error<user_error>,
+   denorm_error<user_error>,
+   evaluation_error<user_error>,
+   indeterminate_result_error<user_error> > user_policy;
+policy<> default_policy;
+
+#define TEST_EXCEPTION(expression, exception, msg)\
+   BOOST_MATH_CHECK_THROW(expression, exception);\
+   try{ expression; }catch(const exception& e){ std::cout << e.what() << std::endl; BOOST_CHECK_EQUAL(std::string(e.what()), std::string(msg)); }
+
+template <class T>
+std::string format_message_string(const char* str)
+{
+   std::string type_name = boost::math::policies::detail::name_of<T>();
+   std::string result(str);
+   if(type_name != "float")
+   {
+      std::string::size_type pos = 0;
+      while((pos = result.find("float", pos)) != std::string::npos)
+      {
+         result.replace(pos, 5, type_name);
+         pos += type_name.size();
+      }
+   }
+   return result;
+}
+
+template <class T>
+void test_error(T)
+{
+   const char* func = "boost::math::test_function<%1%>(%1%, %1%, %1%)";
+   const char* msg1 = "Error while handling value %1%";
+   const char* msg2 = "Error message goes here...";
+
+   // Check that exception is thrown, catch and show the message, for example:
+   // Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+#ifndef BOOST_NO_EXCEPTIONS
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole 0"));
+   TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, msg2, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, 0, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Overflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, msg2, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, 0, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Underflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, 0, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Denorm Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, 0, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was 1.25"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, 0, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value 1.25"));
+   //
+   // Now try user error handlers: these should all throw user_error():
+   // - because by design these are undefined and must be defined by the user ;-)
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_domain_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_pole_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_overflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_underflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_evaluation_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(0.0), T(0.0), user_policy), user_defined_error);
+#endif
+
+   // Test with ignore_error
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, ignore_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, ignore_policy), T(0));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), ignore_policy), T(12.34));
+
+   // Test with errno_on_error
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, errno_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, errno_policy), T(0));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), errno_policy) == T(12.34));
+   BOOST_CHECK_EQUAL(errno, EDOM);
+}
+
+template <class T>
+void test_complex_error(T)
+{
+   //
+   // Error handling that can be applied to non-scalar types such as std::complex
+   //
+   const char* func = "boost::math::test_function<%1%>(%1%, %1%, %1%)";
+   const char* msg1 = "Error while handling value %1%";
+   const char* msg2 = "Error message goes here...";
+
+   // Check that exception is thrown, catch and show the message, for example:
+   // Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+#ifndef BOOST_NO_EXCEPTIONS
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (0,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at (0,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, msg1, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (0,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, 0, T(0.0), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole (0,0)"));
+   //TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, msg2, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   //TEST_EXCEPTION(boost::math::policies::raise_overflow_error<T>(func, 0, throw_policy), std::overflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Overflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, msg2, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_underflow_error<T>(func, 0, throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Underflow Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error message goes here..."));
+   TEST_EXCEPTION(boost::math::policies::raise_denorm_error<T>(func, 0, T(0), throw_policy), std::underflow_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Denorm Error"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (1.25,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, 0, T(1.25), throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was (1.25,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value (1.25,0)"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, 0, T(1.25), T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value (1.25,0)"));
+   //
+   // Now try user error handlers: these should all throw user_error():
+   // - because by design these are undefined and must be defined by the user ;-)
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_domain_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_pole_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   //BOOST_MATH_CHECK_THROW(boost::math::policies::raise_overflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_underflow_error<T>(func, msg2, user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_denorm_error<T>(func, msg2, T(0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_evaluation_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(0.0), T(0.0), user_policy), user_defined_error);
+#endif
+
+   // Test with ignore_error
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   //BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, ignore_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, ignore_policy), T(0));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), ignore_policy), T(12.34));
+
+   // Test with errno_on_error
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   //BOOST_CHECK_EQUAL(boost::math::policies::raise_overflow_error<T>(func, msg2, errno_policy), std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>());
+   //BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_underflow_error<T>(func, msg2, errno_policy), T(0));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_denorm_error<T>(func, msg2, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK_EQUAL(errno, ERANGE);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), errno_policy) == T(12.34));
+   BOOST_CHECK_EQUAL(errno, EDOM);
+}
+
+template <class T>
+void test_polynomial_error(T)
+{
+   //
+   // Error handling that can be applied to non-scalar types such as std::complex
+   //
+   const char* func = "boost::math::test_function<%1%>(%1%, %1%, %1%)";
+   const char* msg1 = "Error while handling value %1%";
+
+   static const typename T::value_type data[] = { 1, 2, 3 };
+   static const T val(data, 2);
+
+   // Check that exception is thrown, catch and show the message, for example:
+   // Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+#ifndef BOOST_NO_EXCEPTIONS
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, msg1, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_domain_error(func, 0, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, msg1, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_pole_error(func, 0, val, throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, msg1, val, throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_evaluation_error(func, 0, val, throw_policy), boost::math::evaluation_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, msg1, val, T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Error while handling value { 1, 2, 3 }"));
+   TEST_EXCEPTION(boost::math::policies::raise_indeterminate_result_error(func, 0, val, T(12.34), throw_policy), std::domain_error, format_message_string<T>("Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value { 1, 2, 3 }"));
+   //
+   // Now try user error handlers: these should all throw user_error():
+   // - because by design these are undefined and must be defined by the user ;-)
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_domain_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_pole_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_evaluation_error(func, msg1, T(0.0), user_policy), user_defined_error);
+   BOOST_MATH_CHECK_THROW(boost::math::policies::raise_indeterminate_result_error(func, msg1, T(0.0), T(0.0), user_policy), user_defined_error);
+#endif
+
+   // Test with ignore_error
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), ignore_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), ignore_policy), T(1.25));
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), ignore_policy), T(12.34));
+
+   // Test with errno_on_error
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_domain_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK((boost::math::isnan)(boost::math::policies::raise_pole_error(func, msg1, T(0.0), errno_policy)) || !std::numeric_limits<T>::has_quiet_NaN);
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK_EQUAL(boost::math::policies::raise_evaluation_error(func, msg1, T(1.25), errno_policy), T(1.25));
+   BOOST_CHECK(errno == EDOM);
+   errno = 0;
+   BOOST_CHECK(boost::math::policies::raise_indeterminate_result_error(func, 0, T(0.0), T(12.34), errno_policy) == T(12.34));
+   BOOST_CHECK_EQUAL(errno, EDOM);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Test error handling.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type FPT).
+   test_error(0.0F); // Test float.
+   test_error(0.0); // Test double.
+   test_error(0.0L); // Test long double.
+   test_error(boost::math::concepts::real_concept(0.0L)); // Test concepts.
+
+   // try complex numbers too:
+   test_complex_error(std::complex<float>(0));
+   test_complex_error(std::complex<double>(0));
+   test_complex_error(std::complex<long double>(0));
+
+   test_polynomial_error(boost::math::tools::polynomial<float>());
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_error_handling.exe"
+Running 1 test case...
+Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0
+Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole 0
+Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+Error in function boost::math::test_function<float>(float, float, float): Overflow Error
+Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+Error in function boost::math::test_function<float>(float, float, float): Underflow Error
+Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+Error in function boost::math::test_function<float>(float, float, float): Denorm Error
+Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25
+Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was 1.25
+Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+Error in function boost::math::test_function<double>(double, double, double): Domain Error evaluating function at 0
+Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+Error in function boost::math::test_function<double>(double, double, double): Evaluation of function at pole 0
+Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+Error in function boost::math::test_function<double>(double, double, double): Overflow Error
+Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+Error in function boost::math::test_function<double>(double, double, double): Underflow Error
+Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+Error in function boost::math::test_function<double>(double, double, double): Denorm Error
+Error in function boost::math::test_function<double>(double, double, double): Error while handling value 1.25
+Error in function boost::math::test_function<double>(double, double, double): Internal Evaluation Error, best value so far was 1.25
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Domain Error evaluating function at 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Evaluation of function at pole 0
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+Error in function boost::math::test_function<long double>(long double, long double, long double): Overflow Error
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+Error in function boost::math::test_function<long double>(long double, long double, long double): Underflow Error
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+Error in function boost::math::test_function<long double>(long double, long double, long double): Denorm Error
+Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 1.25
+Error in function boost::math::test_function<long double>(long double, long double, long double): Internal Evaluation Error, best value so far was 1.25
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Domain Error evaluating function at 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Evaluation of function at pole 0
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Overflow Error
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Underflow Error
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Denorm Error
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 1.25
+Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Internal Evaluation Error, best value so far was 1.25
+*** No errors detected
+
+VS 2010
+------ Rebuild All started: Project: test_error_handling, Configuration: Release Win32 ------
+  test_error_handling.cpp
+  Generating code
+  Finished generating code
+  test_error_handling.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_error_handling.exe
+  Running 1 test case...
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+  Error in function boost::math::test_function<float>(float, float, float): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 0
+  Error in function boost::math::test_function<float>(float, float, float): Evaluation of function at pole 0
+  Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+  Error in function boost::math::test_function<float>(float, float, float): Overflow Error
+  Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+  Error in function boost::math::test_function<float>(float, float, float): Underflow Error
+  Error in function boost::math::test_function<float>(float, float, float): Error message goes here...
+  Error in function boost::math::test_function<float>(float, float, float): Denorm Error
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25
+  Error in function boost::math::test_function<float>(float, float, float): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<float>(float, float, float): Error while handling value 1.25
+  Error in function boost::math::test_function<float>(float, float, float): Indeterminate result with value 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+  Error in function boost::math::test_function<double>(double, double, double): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 0
+  Error in function boost::math::test_function<double>(double, double, double): Evaluation of function at pole 0
+  Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+  Error in function boost::math::test_function<double>(double, double, double): Overflow Error
+  Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+  Error in function boost::math::test_function<double>(double, double, double): Underflow Error
+  Error in function boost::math::test_function<double>(double, double, double): Error message goes here...
+  Error in function boost::math::test_function<double>(double, double, double): Denorm Error
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Error while handling value 1.25
+  Error in function boost::math::test_function<double>(double, double, double): Indeterminate result with value 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Evaluation of function at pole 0
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Overflow Error
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Underflow Error
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error message goes here...
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Denorm Error
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Error while handling value 1.25
+  Error in function boost::math::test_function<long double>(long double, long double, long double): Indeterminate result with value 1.25
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Domain Error evaluating function at 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Evaluation of function at pole 0
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Overflow Error
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Underflow Error
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error message goes here...
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Denorm Error
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 1.25
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Internal Evaluation Error, best value so far was 1.25
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Error while handling value 1.25
+  
+  *** No errors detected
+  Error in function boost::math::test_function<class boost::math::concepts::real_concept>(class boost::math::concepts::real_concept, class boost::math::concepts::real_concept, class boost::math::concepts::real_concept): Indeterminate result with value 1.25
+========== Rebuild All: 1 succeeded, 0 failed, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_expint.cpp b/src/boost/libs/math/test/test_expint.cpp
new file mode 100644
index 000000000..3f44a8091
--- /dev/null
+++ b/src/boost/libs/math/test/test_expint.cpp
@@ -0,0 +1,147 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_expint.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the expint functions. There are two sets of tests:
+// 1) Sanity checks: comparison to test values created with the
+// online calculator at functions.wolfram.com
+// 2) Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      "float|double|long double",    // test type(s)
+      ".*E1.*",                      // test data group
+      ".*", 30, 10);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      "float|double|long double|real_concept",    // test type(s)
+      ".*Ei.*",                      // test data group
+      ".*", 300, 200);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 15);                   // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float|double|long double",    // test type(s)
+      ".*E1.*",                      // test data group
+      ".*", 2, 1);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float|double|long double",    // test type(s)
+      ".*Ei.*",                      // test data group
+      ".*", 6, 3);                   // test function
+   if(std::numeric_limits<long double>::digits > 100)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                // test type(s)
+         ".*Ei.*",                      // test data group
+         ".*", 150, 50);                // test function
+   }
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Ei.*",                      // test data group
+      ".*", 150, 50);                // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 25, 5);                   // test function
+
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   boost::math::expint(114.7);
+
+   test_spots(0.0f, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_expint(0.1F, "float");
+   test_expint(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_expint(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_expint(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_expint.hpp b/src/boost/libs/math/test/test_expint.hpp
new file mode 100644
index 000000000..491db2fcd
--- /dev/null
+++ b/src/boost/libs/math/test/test_expint.hpp
@@ -0,0 +1,194 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T expint_wrapper(T n, T z)
+{
+#ifdef EN_FUNCTION_TO_TEST
+   return EN_FUNCTION_TO_TEST(
+      boost::math::itrunc(n), z);
+#else
+   return boost::math::expint(
+      boost::math::itrunc(n), z);
+#endif
+}
+
+template <class Real, class T>
+void do_test_expint(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(EN_FUNCTION_TO_TEST))
+   //
+   // test En(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = expint_wrapper<value_type>;
+#else
+   pg funcp = expint_wrapper;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test expint against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "expint (En)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_expint_Ei(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(EI_FUNCTION_TO_TEST))
+   //
+   // test Ei(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#ifdef EI_FUNCTION_TO_TEST
+   pg funcp = EI_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::expint<value_type>;
+#else
+   pg funcp = boost::math::expint;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test expint against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "expint (Ei)", test_name);
+#endif
+}
+
+template <class T>
+void test_expint(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#include "expint_data.ipp"
+   do_test_expint<T>(expint_data, name, "Exponential Integral En");
+#include "expint_small_data.ipp"
+   do_test_expint<T>(expint_small_data, name, "Exponential Integral En: small z values");
+#include "expint_1_data.ipp"
+   do_test_expint<T>(expint_1_data, name, "Exponential Integral E1");
+#include "expinti_data.ipp"
+   do_test_expint_Ei<T>(expinti_data, name, "Exponential Integral Ei");
+
+   if(boost::math::tools::log_max_value<T>() > 100)
+   {
+#include "expinti_data_double.ipp"
+      do_test_expint_Ei<T>(expinti_data_double, name, "Exponential Integral Ei: double exponent range");
+   }
+#if (defined(LDBL_MAX_10_EXP) && (LDBL_MAX_10_EXP > 2000)) || defined(TEST_UDT)
+   if(boost::math::tools::log_max_value<T>() > 1000)
+   {
+#include "expinti_data_long.ipp"
+      do_test_expint_Ei<T>(expinti_data_long, name, "Exponential Integral Ei: long exponent range");
+   }
+#endif
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is 100 epsilon 
+   // expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 *
+      (boost::is_floating_point<T>::value ? 500 : 500);
+   //
+   // En:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(1)/1024), static_cast<T>(1023.0004881223430781283448725609773366468629307172L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(0.125F)), static_cast<T>(7.0599752206767632229191371458324058897760385999252L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(0.5F)), static_cast<T>(1.2130613194252668472075990699823609068838362709744L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(1.5F)), static_cast<T>(0.14875344009895321928885364717600834756144775290739L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(4.5F)), static_cast<T>(0.0024686658973871792213651409526512283936753927790603L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(0, static_cast<T>(50.0F)), static_cast<T>(3.8574996959278355660346856330540251495056653024605e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(1)/1024), static_cast<T>(6.3552324648310718026144555193580322129376300855378L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(0.125F)), static_cast<T>(1.6234256405841687914563069246244088736331060573721L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(0.5F)), static_cast<T>(0.55977359477616081174679593931508523522684689031635L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(1.5F)), static_cast<T>(0.10001958240663265190190933991166697826173000614035L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(4.5F)), static_cast<T>(0.0020734007547146144328855938695797884889319725701443L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(1, static_cast<T>(50.0F)), static_cast<T>(3.7832640295504590186989678540212857803028931862511e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(1)/1024), static_cast<T>(0.99281763247803906867747111039220635198625517639812L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(0.125F)), static_cast<T>(0.67956869751157430393285377765099962701786656781914L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(0.5F)), static_cast<T>(0.32664386232455301773040156533363783582849469032901L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(1.5F)), static_cast<T>(0.073100786538480851080416460896512053949576620150553L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(4.5F)), static_cast<T>(0.0017786931420265415481579618738214795713453909401220L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(2, static_cast<T>(50.0F)), static_cast<T>(3.7117833188688273667858889516369684601386058104706e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(1)/1024), static_cast<T>(0.24967471743034509414923673526350536071348482068601L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(0.125F)), static_cast<T>(0.21195078838966585733668853784460504343264488743527L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(0.5F)), static_cast<T>(0.13097731169586484777931864012654136046214618229236L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(1.5F)), static_cast<T>(0.038529924425495155395971538166055731456940831714065L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(4.5F)), static_cast<T>(0.0012311157382296328534406162790653865883418172939975L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(5, static_cast<T>(50.0F)), static_cast<T>(3.5124400631332394056901125740903320085753990490695e-24L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(1)/1024), static_cast<T>(0.047570244582119027573000641518739337055625638422014L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(0.125F)), static_cast<T>(0.041762730174712898120606793100375713866392079558609L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(0.5F)), static_cast<T>(0.028178840877963713109230354192609362941651630844684L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(1.5F)), static_cast<T>(0.0098864453561701486668317763826728620676449196215016L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(4.5F)), static_cast<T>(0.00043257793497205419001613830279995985617548506505159L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(22, static_cast<T>(50.0F)), static_cast<T>(2.6900194251201629500599598206345018300567305625080e-24L), tolerance);
+   //
+   // Ei:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(1)/1024), static_cast<T>(-6.35327933972759151358547423727042905862963067106751711596065L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(0.125)), static_cast<T>(-1.37320852494298333781545045921206470808223543321810480716122L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(0.5)), static_cast<T>(0.454219904863173579920523812662802365281405554352642045162818L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(1)), static_cast<T>(1.89511781635593675546652093433163426901706058173270759164623L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(50.5)), static_cast<T>(1.72763195602911805201155668940185673806099654090456049881069e20L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-1)/1024), static_cast<T>(-6.35523246483107180261445551935803221293763008553775821607264L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-0.125)), static_cast<T>(-1.62342564058416879145630692462440887363310605737209536579267L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-0.5)), static_cast<T>(-0.559773594776160811746795939315085235226846890316353515248293L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-1)), static_cast<T>(-0.219383934395520273677163775460121649031047293406908207577979L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::expint(static_cast<T>(-50.5)), static_cast<T>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_expint_hooks.hpp b/src/boost/libs/math/test/test_expint_hooks.hpp
new file mode 100644
index 000000000..89b5fc89a
--- /dev/null
+++ b/src/boost/libs/math/test/test_expint_hooks.hpp
@@ -0,0 +1,94 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double expn(int, double);
+   float expnf(int, float);
+   long double expnl(int, long double);
+}
+inline float expint(unsigned n, float a)
+{ return expnf(n, a); }
+inline double expint(unsigned n, double a)
+{ return expn(n, a); }
+inline long double expint(unsigned n, long double a)
+{
+#ifdef BOOST_MSVC
+   return expn(n, (double)a); 
+#else
+   return expnl(n, a); 
+#endif
+}
+// Ei is not supported:
+template <class T>
+inline T expint(T){ return 0; }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_expint.h>
+
+namespace other{
+inline float expint(float a)
+{ return (float)gsl_sf_expint_Ei(a); }
+inline double expint(double a)
+{ return gsl_sf_expint_Ei(a); }
+inline long double expint(long double a)
+{ return gsl_sf_expint_Ei(a); }
+// En is not supported:
+template <class T>
+inline T expint(unsigned, T){ return 0; }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_SPECFUN
+namespace other{
+extern "C" int calcei_(double *arg, double *result, int*);
+inline float expint(float a)
+{ 
+   double r, a_(a);
+   int v = 1;
+   calcei_(&a_, &r, &v); 
+   return (float)r;
+}
+inline double expint(double a)
+{ 
+   double r, a_(a);
+   int v = 1;
+   calcei_(&a_, &r, &v); 
+   return r;
+}
+inline long double expint(long double a)
+{ 
+   double r, a_(a);
+   int v = 1;
+   calcei_(&a_, &r, &v); 
+   return r;
+}
+// En is not supported:
+template <class T>
+inline T expint(unsigned, T){ return 0; }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept expint(unsigned, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept expint(boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_exponential_dist.cpp b/src/boost/libs/math/test/test_exponential_dist.cpp
new file mode 100644
index 000000000..65f5635fe
--- /dev/null
+++ b/src/boost/libs/math/test/test_exponential_dist.cpp
@@ -0,0 +1,310 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_exponential_dist.cpp
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/exponential.hpp>
+    using boost::math::exponential_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType l, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         exponential_distribution<RealType>(l),
+         x),
+         p,
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(exponential_distribution<RealType>(l),
+         x)),
+         q,
+         tolerance); // %
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            exponential_distribution<RealType>(l),
+            p),
+            x,
+            tolerance); // %
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(exponential_distribution<RealType>(l),
+            q)),
+            x,
+            tolerance); // %
+   }
+}
+
+template <class RealType>
+void test_spots(RealType T)
+{
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // (that's the limit of our test data: obtained by punching
+   // numbers into a calculator).
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(boost::math::tools::epsilon<double>()),
+      boost::math::tools::epsilon<RealType>());
+   tolerance *= 50 * 100;
+   // #  pragma warning(disable: 4100) // unreferenced formal parameter.
+   // prevent his spurious warning.
+   if (T != 0)
+   {
+     cout << "Expect parameter T == 0!" << endl;
+   }
+    cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+   test_spot(
+      static_cast<RealType>(0.5), // lambda
+      static_cast<RealType>(0.125), // x
+      static_cast<RealType>(0.060586937186524213880289175377695L), // p
+      static_cast<RealType>(0.93941306281347578611971082462231L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // lambda
+      static_cast<RealType>(5), // x
+      static_cast<RealType>(0.91791500137610120483047132553284L), // p
+      static_cast<RealType>(0.08208499862389879516952867446716L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(2), // lambda
+      static_cast<RealType>(0.125), // x
+      static_cast<RealType>(0.22119921692859513175482973302168L), // p
+      static_cast<RealType>(0.77880078307140486824517026697832L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(2), // lambda
+      static_cast<RealType>(5), // x
+      static_cast<RealType>(0.99995460007023751514846440848444L), // p
+      static_cast<RealType>(4.5399929762484851535591515560551e-5L), //q
+      tolerance);
+
+   //
+   // Some spot tests generated by MathCAD pexp(x,r):
+   //
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(6.321205588285580E-001L), // p
+      static_cast<RealType>(1-6.321205588285580E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(2), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(8.646647167633870E-001L), // p
+      static_cast<RealType>(1-8.646647167633870E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.5), // x
+      static_cast<RealType>(3.934693402873670E-001L), // p
+      static_cast<RealType>(1-3.934693402873670E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.1), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(9.516258196404040E-002L), // p
+      static_cast<RealType>(1-9.516258196404040E-002L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(10), // lambda
+      static_cast<RealType>(1), // x
+      static_cast<RealType>(9.999546000702380E-001L), // p
+      static_cast<RealType>(1-9.999546000702380E-001L), //q
+      tolerance*10000); // we loose four digits to cancellation
+   test_spot(
+      static_cast<RealType>(0.1), // lambda
+      static_cast<RealType>(10), // x
+      static_cast<RealType>(6.321205588285580E-001L), // p
+      static_cast<RealType>(1-6.321205588285580E-001L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.01), // x
+      static_cast<RealType>(9.950166250831950E-003L), // p
+      static_cast<RealType>(1-9.950166250831950E-003L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.0001), // x
+      static_cast<RealType>(9.999500016666250E-005L), // p
+      static_cast<RealType>(1-9.999500016666250E-005L), //q
+      tolerance);
+   /*
+   // This test data appears to be erroneous, MathCad appears
+   // to suffer from cancellation error as x -> 0
+   test_spot(
+      static_cast<RealType>(1), // lambda
+      static_cast<RealType>(0.0000001), // x
+      static_cast<RealType>(9.999999499998730E-008L), // p
+      static_cast<RealType>(1-9.999999499998730E-008L), //q
+      tolerance);
+   */
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(0.5),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.46970653140673789305985541231115L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(0.5),
+         static_cast<RealType>(5)),              // x
+         static_cast<RealType>(0.04104249931194939758476433723358L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(2),
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(1.5576015661428097364903405339566L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         exponential_distribution<RealType>(2),
+         static_cast<RealType>(5)),              // x
+         static_cast<RealType>(9.0799859524969703071183031121101e-5L),                // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::standard_deviation(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(0.5),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(0),
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+         exponential_distribution<RealType>(4)),
+         static_cast<RealType>(0.693147180559945309417232121458176568075500134360255254) / 4,
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(2),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(9),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(6),
+         tolerance); // %
+
+   using std::log;
+   BOOST_CHECK_CLOSE(
+      ::boost::math::entropy(
+         exponential_distribution<RealType>(2)),
+         static_cast<RealType>(1-log(RealType(2))),
+         tolerance); // %
+
+   //
+   // Things that are errors:
+   //
+   exponential_distribution<RealType> dist(0.5);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(1.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(0.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       pdf(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(exponential_distribution<RealType>(-1), RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(2)),
+       std::domain_error);
+
+   check_out_of_range<exponential_distribution<RealType> >(2);
+   BOOST_MATH_CHECK_THROW(exponential_distribution<RealType>(0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(exponential_distribution<RealType>(-1), std::domain_error);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(exponential_distribution<RealType>(2), inf), 0);
+      BOOST_CHECK_EQUAL(cdf(exponential_distribution<RealType>(2), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(exponential_distribution<RealType>(2), inf)), 0);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate exponential distribution using the two convenience methods:
+   boost::math::exponential mycexp1(1.); // Using typedef
+   exponential_distribution<> myexp2(1.); // Using default RealType double.
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Running 1 test case...
+Tolerance for type float is 0.000596046 %
+Tolerance for type double is 1.11022e-012 %
+Tolerance for type long double is 1.11022e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-012 %
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_extreme_value.cpp b/src/boost/libs/math/test/test_extreme_value.cpp
new file mode 100644
index 000000000..2729e3bb7
--- /dev/null
+++ b/src/boost/libs/math/test/test_extreme_value.cpp
@@ -0,0 +1,247 @@
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_extreme_value.cpp
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/extreme_value.hpp>
+    using boost::math::extreme_value_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType a, RealType b, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         extreme_value_distribution<RealType>(a, b),      
+         x),
+         p,
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(extreme_value_distribution<RealType>(a, b),      
+         x)),
+         q,
+         tolerance); // %
+   if((p < 0.999) && (p > 0))
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            extreme_value_distribution<RealType>(a, b),      
+            p),
+            x,
+            tolerance); // %
+   }
+   if((q < 0.999) && (q > 0))
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(extreme_value_distribution<RealType>(a, b),      
+            q)),
+            x,
+            tolerance); // %
+   }
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks.
+   // 50eps as a percentage, up to a maximum of double precision
+   // (that's the limit of our test data).
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(boost::math::tools::epsilon<double>()),
+      boost::math::tools::epsilon<RealType>());
+   tolerance *= 50 * 100;  
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   // Results calculated by punching numbers into a calculator,
+   // and using the formula at http://mathworld.wolfram.com/ExtremeValueDistribution.html
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(1.5), // b
+      static_cast<RealType>(0.125), // x
+      static_cast<RealType>(0.27692033409990891617007608217222L), // p
+      static_cast<RealType>(0.72307966590009108382992391782778L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(2), // b
+      static_cast<RealType>(-5), // x
+      static_cast<RealType>(1.6087601139887776413169427645933e-7L), // p
+      static_cast<RealType>(0.99999983912398860112223586830572L), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(0.25), // b
+      static_cast<RealType>(0.75), // x
+      static_cast<RealType>(0.69220062755534635386542199718279L), // p
+      static_cast<RealType>(0.30779937244465364613457800281721), //q
+      tolerance);
+   test_spot(
+      static_cast<RealType>(0.5), // a
+      static_cast<RealType>(0.25), // b
+      static_cast<RealType>(5), // x
+      static_cast<RealType>(0.99999998477002037126351248727041L), // p
+      static_cast<RealType>(1.5229979628736487512729586276294e-8L), //q
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         extreme_value_distribution<RealType>(0.5, 2),      
+         static_cast<RealType>(0.125)),              // x
+         static_cast<RealType>(0.18052654830890205978204427757846L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         extreme_value_distribution<RealType>(1, 3),      
+         static_cast<RealType>(5)),              // x
+         static_cast<RealType>(0.0675057324099851209129017326286L),                // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         extreme_value_distribution<RealType>(1, 3),      
+         static_cast<RealType>(0)),              // x
+         static_cast<RealType>(0.11522236828583456431277265757312L),                // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(3.731646994704598581819536270246L),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::standard_deviation(
+         extreme_value_distribution<RealType>(1, 0.5)), 
+         static_cast<RealType>(0.6412749150809320477720181798355L),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(2),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+         extreme_value_distribution<RealType>(0, 1)),
+         static_cast<RealType>(+0.36651292058166432701243915823266946945426344783710526305367771367056),           
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(1.1395470994046486574927930193898461120875997958366L),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(5.4),           
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(
+         extreme_value_distribution<RealType>(2, 3)),
+         static_cast<RealType>(2.4),           
+         tolerance); // %
+
+   //
+   // Things that are errors:
+   //
+   extreme_value_distribution<RealType> dist(0.5, 2);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(1.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(0.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(0.0)),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist, RealType(1.0))),
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(extreme_value_distribution<RealType>(0, -1), RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(-1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(2)),
+       std::domain_error);
+   check_out_of_range<extreme_value_distribution<RealType> >(1, 2);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(extreme_value_distribution<RealType>(), -inf), 0);
+      BOOST_CHECK_EQUAL(pdf(extreme_value_distribution<RealType>(), inf), 0);
+      BOOST_CHECK_EQUAL(cdf(extreme_value_distribution<RealType>(), -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(extreme_value_distribution<RealType>(), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(extreme_value_distribution<RealType>(), -inf)), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(extreme_value_distribution<RealType>(), inf)), 0);
+   }
+   //
+   // Bug reports:
+   //
+   // https://svn.boost.org/trac/boost/ticket/10938:
+   BOOST_CHECK_CLOSE(
+   ::boost::math::pdf(
+      extreme_value_distribution<RealType>(0, 1),
+      static_cast<RealType>(-1000)),              // x
+      static_cast<RealType>(0),                // probability.
+      tolerance); // %
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+  // Check that can generate extreme_value distribution using the two convenience methods:
+   boost::math::extreme_value mycev1(1.); // Using typedef
+   extreme_value_distribution<> myev2(1.); // Using default RealType double.
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+-Running 1 test case...
+Tolerance for type float is 0.000596046 %
+Tolerance for type double is 1.11022e-012 %
+Tolerance for type long double is 1.11022e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-012 %
+*** No errors detected
+*/
+
+
diff --git a/src/boost/libs/math/test/test_factorials.cpp b/src/boost/libs/math/test/test_factorials.cpp
new file mode 100644
index 000000000..851f6462d
--- /dev/null
+++ b/src/boost/libs/math/test/test_factorials.cpp
@@ -0,0 +1,386 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4245) // int/unsigned int conversion
+#endif
+
+// Return infinities not exceptions:
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/factorials.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+
+template <class T>
+T naive_falling_factorial(T x, unsigned n)
+{
+   if(n == 0)
+      return 1;
+   T result = x;
+   while(--n)
+   {
+      x -= 1;
+      result *= x;
+   }
+   return result;
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // Basic sanity checks.
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 * 2;  // 2 eps as a percent.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::unchecked_factorial<T>(10),
+      static_cast<T>(3628800L), tolerance);
+
+   //
+   // Try some double factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(0),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(1),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(2),
+      static_cast<T>(2), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(5),
+      static_cast<T>(15), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(10),
+      static_cast<T>(3840), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(19),
+      static_cast<T>(6.547290750e8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(24),
+      static_cast<T>(1.961990553600000e12L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(33),
+      static_cast<T>(6.33265987076285062500000e18L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(42),
+      static_cast<T>(1.0714547155728479551488000000e26L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::double_factorial<T>(47),
+      static_cast<T>(1.19256819277443412353990764062500000e30L), tolerance);
+
+   if((std::numeric_limits<T>::has_infinity) && (std::numeric_limits<T>::max_exponent <= 1024))
+   {
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(320),
+         std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(
+         ::boost::math::double_factorial<T>(301),
+         std::numeric_limits<T>::infinity());
+   }
+   //
+   // Rising factorials:
+   //
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   if(std::numeric_limits<T>::is_specialized == 0)
+      tolerance *= 5;  // higher error rates without Lanczos support
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(3), 4),
+      static_cast<T>(360), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(7), -4),
+      static_cast<T>(0.00277777777777777777777777777777777777777777777777777777777778L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), 8),
+      static_cast<T>(5.58187566784927180664062500e16L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(120.5f), -4),
+      static_cast<T>(5.15881498170104646868208445266116850161120996179812063177241e-9L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), 8),
+      static_cast<T>(3.92974581976666067544013393509103775024414062500000e29L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(5000.25f), -7),
+      static_cast<T>(1.28674092710208810281923019294164707555099052561945725535047e-26L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), 21),
+      static_cast<T>(3.93286957998925490693364184100209193343633629069699964020401e33L), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(30.25), -21),
+      static_cast<T>(3.35010902064291983728782493133164809108646650368560147505884e-27L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 21),
+      static_cast<T>(-9.76168312768123676601980433377916854311706629232503473758698e26L), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -21),
+      static_cast<T>(-1.50079704000923674318934280259377728203516775215430875839823e-34L), 2 * tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 5),
+      static_cast<T>(-1.78799177197265625000000e7L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -5),
+      static_cast<T>(-2.47177487004482195012362027432181137141899692171397467859150e-8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), 6),
+      static_cast<T>(4.5146792242309570312500000e8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-30.25), -6),
+      static_cast<T>(6.81868929667537089689274558433603136943171564610751635473516e-10L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3), 6),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), 6),
+      static_cast<T>(2.99926757812500L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 6),
+      static_cast<T>(50.987548828125000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), 13),
+      static_cast<T>(127230.91046623885631561279296875000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-3.25), -6),
+      static_cast<T>(0.0000129609865918182348202632178291407500332449622510474437452125L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -6),
+      static_cast<T>(2.50789821857946332294524052303699065683926911849535903362649e-6L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::rising_factorial(static_cast<T>(-5.25), -13),
+      static_cast<T>(-1.38984989447269128946284683518361786049649013886981662962096e-14L), tolerance);
+   //
+   // More cases reported as bugs by Rocco Romeo:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(0), 1), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(0), -1), static_cast<T>(-1));
+   BOOST_CHECK_CLOSE(::boost::math::rising_factorial(static_cast<T>(0.5f), -1), static_cast<T>(-2), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::rising_factorial(static_cast<T>(40.5), -41), static_cast<T>(-2.75643016796662963097096639854040835565778207128865739e-47L), tolerance);
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(-2), 3), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(-2), 2), static_cast<T>(2));
+   BOOST_CHECK_EQUAL(::boost::math::rising_factorial(static_cast<T>(-4), 3), static_cast<T>(-24));
+   BOOST_CHECK_CLOSE(::boost::math::rising_factorial(static_cast<T>(-4), -3), static_cast<T>(-0.00476190476190476190476190476190476190476190476190476190476L), tolerance);
+   if(ldexp(T(1), -150) != 0)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), 0), static_cast<T>(1), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -1), static_cast<T>(-1.00000000000000000000000000000000000000000000070064923216241L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -2), static_cast<T>(0.500000000000000000000000000000000000000000000525486924121806L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -25), static_cast<T>(-6.44695028438447339619485321920468720529890442766578870603544e-26L), 15 * tolerance);
+      if(std::numeric_limits<T>::min_exponent10 < -50)
+      {
+         BOOST_CHECK_CLOSE(::boost::math::rising_factorial(ldexp(T(1), -150), -40), static_cast<T>(1.22561743912838584942353998493975692372556196815242899727910e-48L), tolerance);
+      }
+   }
+
+   //
+   // Falling factorials:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 0),
+      static_cast<T>(naive_falling_factorial(30.25L, 0)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 1),
+      static_cast<T>(naive_falling_factorial(30.25L, 1)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 2),
+      static_cast<T>(naive_falling_factorial(30.25L, 2)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 5),
+      static_cast<T>(naive_falling_factorial(30.25L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.25), 22),
+      static_cast<T>(naive_falling_factorial(30.25L, 22)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(100.5), 6),
+      static_cast<T>(naive_falling_factorial(100.5L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(30.75), 30),
+      static_cast<T>(naive_falling_factorial(30.75L, 30)),
+      tolerance * 3);
+   if(boost::math::policies::digits<T, boost::math::policies::policy<> >() > 50)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75L), 30),
+         static_cast<T>(naive_falling_factorial(-30.75L, 30)),
+         tolerance * 3);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::falling_factorial(static_cast<T>(-30.75L), 27),
+         static_cast<T>(naive_falling_factorial(-30.75L, 27)),
+         tolerance * 3);
+   }
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12.0), 6),
+      static_cast<T>(naive_falling_factorial(-12.0L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-12), 5),
+      static_cast<T>(naive_falling_factorial(-12.0L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3.0), 6),
+      static_cast<T>(naive_falling_factorial(-3.0L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(-3), 5),
+      static_cast<T>(naive_falling_factorial(-3.0L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.0), 6),
+      static_cast<T>(naive_falling_factorial(3.0L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3), 5),
+      static_cast<T>(naive_falling_factorial(3.0L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 4),
+      static_cast<T>(naive_falling_factorial(3.25L, 4)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 5),
+      static_cast<T>(naive_falling_factorial(3.25L, 5)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 6),
+      static_cast<T>(naive_falling_factorial(3.25L, 6)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(3.25), 7),
+      static_cast<T>(naive_falling_factorial(3.25L, 7)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::falling_factorial(static_cast<T>(8.25), 12),
+      static_cast<T>(naive_falling_factorial(8.25L, 12)),
+      tolerance);
+   //
+   // More cases reported as bugs by Rocco Romeo:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::falling_factorial(static_cast<T>(0), 1), static_cast<T>(0));
+   BOOST_CHECK_CLOSE(::boost::math::falling_factorial(static_cast<T>(-2), 3), static_cast<T>(-24), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::falling_factorial(static_cast<T>(-2), 2), static_cast<T>(6), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::falling_factorial(static_cast<T>(-4), 3), static_cast<T>(-120), tolerance);
+   if(ldexp(static_cast<T>(1), -100) != 0)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 1), static_cast<T>(7.888609052210118054117285652827862296732064351090230047e-31L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 2), static_cast<T>(-7.88860905221011805411728565282163928145420320938308598e-31L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 3), static_cast<T>(1.577721810442023610823457130563705554763054527705902790e-30L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -100), 35), static_cast<T>(2.32897613101315187323300837924676081371219290005311315885e8L), 35 * tolerance);
+   }
+   if((ldexp(static_cast<T>(1), -300) != 0) && (std::numeric_limits<T>::max_exponent10 > 290))
+   {
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -300), 20), static_cast<T>(-5.97167167502482975928590631196751639118233432208390100e-74L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::falling_factorial(ldexp(static_cast<T>(1), -300), 200), static_cast<T>(-1.93579759151806711025267355739174942986011285920860098569075e282L), 10 * tolerance);
+   }
+
+
+   tolerance = boost::math::tools::epsilon<T>() * 100 * 20;  // 20 eps as a percent.
+   unsigned i = boost::math::max_factorial<T>::value;
+   if((boost::is_floating_point<T>::value) && (sizeof(T) <= sizeof(double)))
+   {
+      // Without Lanczos support, tgamma isn't accurate enough for this test:
+      BOOST_CHECK_CLOSE(
+         ::boost::math::unchecked_factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+   }
+
+   i += 10;
+   while(boost::math::lgamma(static_cast<T>(i+1)) < boost::math::tools::log_max_value<T>())
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::factorial<T>(i),
+         boost::math::tgamma(static_cast<T>(i+1)), tolerance);
+      i += 10;
+   }
+} // template <class T> void test_spots(T)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F);
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.));
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   if (std::numeric_limits<double>::digits == std::numeric_limits<long double>::digits)
+   {
+     cout << "Types double and long double have the same number of floating-point significand bits ("
+       << std::numeric_limits<long double>::digits << ") on this platform." << endl;
+   }
+   if (std::numeric_limits<float>::digits == std::numeric_limits<double>::digits)
+   {
+     cout << "Types float and double have the same number of floating-point significand bits ("
+       << std::numeric_limits<double>::digits << ") on this platform." << endl;
+   }
+
+   using boost::math::max_factorial;
+   cout << "max factorial for float "  << max_factorial<float>::value  << endl;
+   cout << "max factorial for double "  << max_factorial<double>::value  << endl;
+   cout << "max factorial for long double "  << max_factorial<long double>::value  << endl;
+   cout << "max factorial for real_concept "  << max_factorial<boost::math::concepts::real_concept>::value  << endl;
+
+
+
+   
+}
+
+/*
+
+Output is:
+
+Running 1 test case...
+Types double and long double have the same number of floating-point significand bits (53) on this platform.
+max factorial for float 34
+max factorial for double 170
+max factorial for long double 170
+max factorial for real_concept 100
+*** No errors detected
+
+*/
+
+
+
+
diff --git a/src/boost/libs/math/test/test_find_location.cpp b/src/boost/libs/math/test/test_find_location.cpp
new file mode 100644
index 000000000..e689351d8
--- /dev/null
+++ b/src/boost/libs/math/test/test_find_location.cpp
@@ -0,0 +1,177 @@
+// test_find_location.cpp
+
+// Copyright John Maddock 2007.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for find_location function.
+
+// Default domain error policy is
+// #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
+
+#include <pch.hpp>
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // Default type double.
+  using boost::math::normal_distribution; // All floating-point types.
+#include <boost/math/distributions/cauchy.hpp> // for cauchy_distribution
+  using boost::math::cauchy;
+#include <boost/math/distributions/pareto.hpp> // for cauchy_distribution
+  using boost::math::pareto;
+#include <boost/math/distributions/find_location.hpp>
+  using boost::math::find_location;
+  using boost::math::complement;// will be needed by users who want complement,
+#include <boost/math/policies/policy.hpp>
+  using boost::math::policies::policy;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION, BOOST_CHECK_EQUAL...
+
+#include <iostream>
+#include <iomanip>
+  using std::cout; using std::endl; using std::fixed;
+  using std::right; using std::left; using std::showpoint;
+  using std::showpos; using std::setw; using std::setprecision;
+
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{ // Parameter only provides the type, float, double... value ignored.
+
+  // Basic sanity checks, test data may be to double precision only
+  // so set tolerance to 100 eps expressed as a fraction,
+  // or 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+   tolerance *= 100; // 100 eps as a fraction.
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is "
+    << setprecision(3) << tolerance  << " (or " << tolerance * 100 << "%)." << endl;
+
+  BOOST_MATH_CHECK_THROW( // Probability outside 0 to 1.
+       find_location<normal_distribution<RealType> >(
+       static_cast<RealType>(0.), static_cast<RealType>(-1.), static_cast<RealType>(0.) ),
+       std::domain_error);
+  
+  normal_distribution<RealType> n; // standard N(0,1)
+  BOOST_CHECK_EQUAL(n.location(), 0); // aka mean.
+  BOOST_CHECK_EQUAL(n.scale(), 1); // aka standard_deviation.
+
+   // Check for 'bad' arguments.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(0., -1., 0.), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(0., 2., 0.), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(numeric_limits<double>::infinity(), 0.5, 0.),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(numeric_limits<double>::quiet_NaN(), -1., 0.),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_location<normal>(0., -1., numeric_limits<double>::quiet_NaN()),
+    std::domain_error); // scale not finite
+
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., -1., 0.)), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., 2., 0.)), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(numeric_limits<double>::infinity(), 0.5, 0.)),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(numeric_limits<double>::quiet_NaN(), -1., 0.)),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., -1., numeric_limits<double>::quiet_NaN())),
+    std::domain_error); // scale not finite
+
+  //// Check for ab-use with unsuitable distribution(s) when concept check implemented.
+  // BOOST_MATH_CHECK_THROW(find_location<pareto>(0., 0.5, 0.), std::domain_error); // pareto can't be used with find_location.
+
+  // Check doesn't throw when an ignore_error for domain_error policy is used.
+  using boost::math::policies::policy;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::ignore_error;
+
+  // Define a (bad?) policy to ignore domain errors ('bad' arguments):
+  typedef policy<domain_error<ignore_error> > ignore_domain_policy;
+  // Using a typedef is convenient, especially if it is re-used.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_CHECK_NO_THROW(find_location<normal>(0, -1, 1,
+    ignore_domain_policy())); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_location<normal>(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy())); // z not finite.
+
+  BOOST_CHECK_NO_THROW(find_location<normal>(complement(0, -1, 1,
+    ignore_domain_policy()))); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_location<normal>(complement(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy()))); // z not finite.
+#endif
+  // Find location to give a probability p (0.05) of z (-2)
+  RealType sd = static_cast<RealType>(1); // normal default standard deviation = 1.
+  RealType z = static_cast<RealType>(-2); // z to give prob p
+  RealType p = static_cast<RealType>(0.05); // only 5% will be below z
+  RealType l = find_location<normal_distribution<RealType> >(z, p, sd);
+  // cout << z << " " << p << " " << sd << " " << l << endl;
+
+  normal_distribution<RealType> np05pc(l, sd); // Same standard_deviation (scale) but with mean(location) shifted.
+  //  cout << "Normal distribution with mean = " << l << " has " << "fraction <= " << z << " = "  << cdf(np05pc, z) << endl;
+  // Check cdf such that only fraction p really is below offset mean l. 
+  BOOST_CHECK_CLOSE_FRACTION(p, cdf(np05pc, z), tolerance);
+
+  // Check that some policies can be applied (though not used here).
+  l = find_location<normal_distribution<RealType> >(z, p, sd, policy<>()); // Default policy, needs using boost::math::policies::policy;
+  l = find_location<normal_distribution<RealType> >(z, p, sd, boost::math::policies::policy<>()); // Default policy, fully specified.
+  l = find_location<normal_distribution<RealType> >(z, p, sd, ignore_domain_policy()); // find_location with new policy, using typedef.
+  l = find_location<normal_distribution<RealType> >(z, p, sd, policy<domain_error<ignore_error> >()); // New policy, without typedef.
+
+  // Check that can use the complement version.
+  RealType q = 1 - p; // complement.
+  // cout << "find_location<normal_distribution<RealType> >(complement(z, q, sd)) = " << endl;
+  l = find_location<normal_distribution<RealType> >(complement(z, q, sd));
+
+  normal_distribution<RealType> np95pc(l, sd); // Same standard_deviation (scale) but with mean(location) shifted
+  //  cout << "Normal distribution with mean = " << l << " has " << "fraction <= " << z << " = "  << cdf(np95pc, z) << endl;
+  BOOST_CHECK_CLOSE_FRACTION(q, cdf(np95pc, z), tolerance);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+  #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L); // Test long double.
+  #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+  #endif
+  #else
+     std::cout << "<note>The long double tests have been disabled on this platform "
+        "either because the long double overloads of the usual math functions are "
+        "not available at all, or because they are too inaccurate for these tests "
+        "to pass.</note>" << std::endl;
+  #endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_find_location.exe"
+Running 1 test case...
+Tolerance for type float is 1.19e-005 (or 0.00119%).
+Tolerance for type double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type long double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type class boost::math::concepts::real_concept is 2.22e-014 (or 2.22e-012%).
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_find_scale.cpp b/src/boost/libs/math/test/test_find_scale.cpp
new file mode 100644
index 000000000..05e423e29
--- /dev/null
+++ b/src/boost/libs/math/test/test_find_scale.cpp
@@ -0,0 +1,212 @@
+// test_find_scale.cpp
+
+// Copyright John Maddock 2007.
+// Copyright Paul A. Bristow 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for find_scale function.
+
+// Default distribution domain error policy is
+// #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
+
+#include <pch.hpp>
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/normal.hpp> // for normal_distribution
+  using boost::math::normal; // Default type double.
+  using boost::math::normal_distribution; // All floating-point types.
+#include <boost/math/distributions/cauchy.hpp> // for cauchy_distribution
+  using boost::math::cauchy;
+#include <boost/math/distributions/pareto.hpp> // for cauchy_distribution
+  using boost::math::pareto;
+#include <boost/math/distributions/find_scale.hpp>
+  using boost::math::find_scale;
+  using boost::math::complement;// will be needed by users who want complement,
+#include <boost/math/policies/policy.hpp>
+  using boost::math::policies::policy;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION, BOOST_CHECK_EQUAL...
+
+#include <iostream>
+#include <iomanip>
+  using std::cout; using std::endl; using std::fixed;
+  using std::right; using std::left; using std::showpoint;
+  using std::showpos; using std::setw; using std::setprecision;
+
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{ // Parameter only provides the type, float, double... value ignored.
+
+  // Basic sanity checks, test data may be to double precision only
+  // so set tolerance to 100 eps expressed as a fraction,
+  // or 100 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+      (boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+   tolerance *= 100; // 100 eps as a fraction.
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is "
+    << setprecision(3) << tolerance  << " (or " << tolerance * 100 << "%)." << endl;
+
+  BOOST_MATH_CHECK_THROW( // Probability outside 0 to 1.
+       find_scale<normal_distribution<RealType> >(
+       static_cast<RealType>(0.), static_cast<RealType>(-1.), static_cast<RealType>(0.) ),
+       std::domain_error);
+  
+  normal_distribution<RealType> n; // standard N(0,1)
+  BOOST_CHECK_EQUAL(n.location(), 0); // aka mean.
+  BOOST_CHECK_EQUAL(n.scale(), 1); // aka standard_deviation.
+
+   // Check for 'bad' arguments.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(0., -1., 0.), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(0., 2., 0.), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(numeric_limits<double>::infinity(), 0.5, 0.),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(numeric_limits<double>::quiet_NaN(), -1., 0.),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(0., -1., numeric_limits<double>::quiet_NaN()),
+    std::domain_error); // scale not finite
+
+
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., -1., 0.)), std::domain_error); // p below 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., 2., 0.)), std::domain_error); // p above 0 to 1.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(numeric_limits<double>::infinity(), 0.5, 0.)),
+    std::domain_error); // z not finite.
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(numeric_limits<double>::quiet_NaN(), -1., 0.)),
+    std::domain_error); // z not finite
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., -1., numeric_limits<double>::quiet_NaN())),
+    std::domain_error); // scale not finite
+
+  BOOST_MATH_CHECK_THROW(find_scale<normal>(complement(0., -1., 0.)), std::domain_error); // p below 0 to 1.
+
+
+  // Check for ab-use with unsuitable distribution(s), for example,
+  // pareto distribution (and most others) can't be used with find_scale (or find_location)
+  // because they lack the scale and location attributes.
+  // BOOST_MATH_CHECK_THROW(find_scale<pareto>(0., 0.5, 0.), std::domain_error);
+  // correctly fails to compile in find_scale() at
+  // BOOST_STATIC_ASSERT(::boost::math::tools::is_scaled_distribution<Dist>::value); 
+
+  // Check doesn't throw when an ignore_error for domain_error policy is used.
+  using boost::math::policies::policy;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::ignore_error;
+
+  // Define a (bad?) policy to ignore domain errors ('bad' arguments):
+  typedef policy<domain_error<ignore_error> > ignore_domain_policy;
+  // Using a typedef is convenient, especially if it is re-used.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_CHECK_NO_THROW(find_scale<normal>(0, -1, 1,
+    ignore_domain_policy())); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_scale<normal>(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy())); // z not finite.
+  BOOST_CHECK_NO_THROW(find_scale<normal>(complement(0, -1, 1, ignore_domain_policy()))); // probability outside [0, 1]
+  BOOST_CHECK_NO_THROW(find_scale<normal>(complement(numeric_limits<double>::infinity(), -1, 1,
+    ignore_domain_policy()))); // z not finite.
+#endif
+  RealType l = 0.; // standard normal distribution.
+  RealType sd = static_cast<RealType>(1); // normal default standard deviation = 1.
+  normal_distribution<RealType> n01(l, sd); // mean(location) = 0, standard_deviation (scale) = 1.
+  RealType z = static_cast<RealType>(-2); // z to give prob p
+  //cout << "Standard normal distribution with standard deviation = " << sd 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(n01, z) << endl;
+  // Standard normal distribution with standard deviation = 1 has fraction <= -2 = 0.0227501
+
+  //normal_distribution<RealType> np001pc(l, sd); // Same mean(location) but with standard_deviation (scale) changed.
+  //cout << "Normal distribution with standard deviation = " << s 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(np001pc, z) << endl;
+
+  // Find scale to give a probability p (0.001) of z (-2)
+  RealType p = static_cast<RealType>(0.001); // only 0.1% to be below z (-2).
+  // location (mean) remains at zero.
+  RealType s = find_scale<normal_distribution<RealType> >(z, p, l);
+  //cout << "Mean " << l << ", z " << z << ",  p " << p
+  //  << ", sd " << sd << ", find_scale " << s 
+  //  << ", difference in sd " << s - sd << endl;
+  // Mean 0, z -2,  p 0.001, sd 1, find_scale 0.64720053440907599, difference in sd -0.352799
+
+  cout.precision(17);
+  BOOST_CHECK_CLOSE_FRACTION(s, static_cast<RealType>(0.64720053440907599L), tolerance);
+
+  normal_distribution<RealType> np001pc(l, s); // Same mean(location) but with standard_deviation (scale) changed.
+  //cout << "Normal distribution with standard deviation = " << s 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(np001pc, z) << endl;
+  // Normal distribution with standard deviation = 0.647201 has fraction <= -2 = 0.001
+
+  // Check cdf such that only fraction p really is below changed standard deviation s. 
+  BOOST_CHECK_CLOSE_FRACTION(p, cdf(np001pc, z), tolerance);
+
+  // Check that some policies can be applied (though results not used here).
+  s = find_scale<normal_distribution<RealType> >(z, p, l, policy<>()); // Default policy, needs using boost::math::policies::policy;
+  s = find_scale<normal_distribution<RealType> >(z, p, l, boost::math::policies::policy<>()); // Default policy, fully specified.
+  s = find_scale<normal_distribution<RealType> >(z, p, l, ignore_domain_policy()); // find_scale with new policy, using typedef.
+  s = find_scale<normal_distribution<RealType> >(z, p, l, policy<domain_error<ignore_error> >()); // New policy, without typedef.
+
+  // Check that can use the complement version too.
+  RealType q = 1 - p; // complement.
+  s = find_scale<normal_distribution<RealType> >(complement(z, q, l)); // Implicit default policy.
+  BOOST_CHECK_CLOSE_FRACTION(s, static_cast<RealType>(0.64720053440907599L), tolerance);
+  s = find_scale<normal_distribution<RealType> >(complement(z, q, l, policy<>())); // Explicit default policy.
+  BOOST_CHECK_CLOSE_FRACTION(s, static_cast<RealType>(0.64720053440907599L), tolerance);
+
+  normal_distribution<RealType> np95pc(l, s); // Same mean(location) but with new standard_deviation (scale).
+
+  //cout << "Mean " << l << ", z " << z << ",  q " << q
+  //<< ", sd " << sd << ", find_scale " << s 
+  //<< ", difference in sd " << s - sd << endl;
+
+  //cout << "Normal distribution with standard deviation = " << s 
+  //  << " has " << "fraction <= " << z << " = "  << cdf(np001pc, z) << endl;
+  BOOST_CHECK_CLOSE_FRACTION(q, cdf(complement(np95pc, z)), tolerance);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Basic sanity-check spot values.
+
+   // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+  #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L); // Test long double.
+    #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+  #endif
+  #else
+     std::cout << "<note>The long double tests have been disabled on this platform "
+        "either because the long double overloads of the usual math functions are "
+        "not available at all, or because they are too inaccurate for these tests "
+        "to pass.</note>" << std::endl;
+  #endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_find_scale.exe"
+Running 1 test case...
+Tolerance for type float is 1.19e-005 (or 0.00119%).
+Tolerance for type double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type long double is 2.22e-014 (or 2.22e-012%).
+Tolerance for type class boost::math::concepts::real_concept is 2.22e-014 (or 2.22e-012%).
+*** No errors detected
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_fisher_f.cpp b/src/boost/libs/math/test/test_fisher_f.cpp
new file mode 100644
index 000000000..73b50d2d2
--- /dev/null
+++ b/src/boost/libs/math/test/test_fisher_f.cpp
@@ -0,0 +1,552 @@
+// test_fisher_squared.cpp
+
+// Copyright Paul A. Bristow 2006.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/fisher_f.hpp> // for fisher_f_distribution
+using boost::math::fisher_f_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType df1, RealType df2, RealType x)
+{
+   //
+   // Calculate the PDF naively using direct evaluation
+   // of equation 2 from http://mathworld.wolfram.com/F-Distribution.html
+   //
+   // Our actual PDF implementation uses a completely different method,
+   // so this is a good sanity check that our math is correct.
+   //
+   using namespace std; // For ADL of std functions.
+   RealType e = boost::math::lgamma((df1 + df2) / 2);
+   e += log(df1) * df1 / 2;
+   e += log(df2) * df2 / 2;
+   e += log(x) * ((df1 / 2) - 1);
+   e -= boost::math::lgamma(df1 / 2);
+   e -= boost::math::lgamma(df2 / 2);
+   e -= log(df2 + x * df1) * (df1 + df2) / 2;
+   return exp(e);
+}
+
+template <class RealType>
+void test_spot(
+     RealType df1,    // Degrees of freedom 1
+     RealType df2,    // Degrees of freedom 2
+     RealType cs,    // Chi Square statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::fisher_f_distribution<RealType> dist(df1, df2);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist, cs), naive_pdf(dist.degrees_of_freedom1(), dist.degrees_of_freedom2(), cs), tol);
+   if((P < 0.999) && (Q < 0.999))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), cs, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), cs, tol);
+   }
+}
+
+//
+// This test data is taken from the tables of upper
+// critical values of the F distribution available
+// at http://www.itl.nist.gov/div898/handbook/eda/section3/eda3673.htm
+//
+double q[] = { 0.10, 0.05, 0.025, 0.01, 0.001 };
+double upper_critical_values[][10] = {
+   { 161.448,199.500,215.707,224.583,230.162,233.986,236.768,238.882,240.543,241.882 },
+   { 18.513, 19.000, 19.164, 19.247, 19.296, 19.330, 19.353, 19.371, 19.385, 19.396 },
+   { 10.128,  9.552,  9.277,  9.117,  9.013,  8.941,  8.887,  8.845,  8.812,  8.786 },
+   { 7.709,  6.944,  6.591,  6.388,  6.256,  6.163,  6.094,  6.041,  5.999,  5.964 },
+   { 6.608,  5.786,  5.409,  5.192,  5.050,  4.950,  4.876,  4.818,  4.772,  4.735 },
+   { 5.987,  5.143,  4.757,  4.534,  4.387,  4.284,  4.207,  4.147,  4.099,  4.060 },
+   { 5.591,  4.737,  4.347,  4.120,  3.972,  3.866,  3.787,  3.726,  3.677,  3.637 },
+   { 5.318,  4.459,  4.066,  3.838,  3.687,  3.581,  3.500,  3.438,  3.388,  3.347 },
+   { 5.117,  4.256,  3.863,  3.633,  3.482,  3.374,  3.293,  3.230,  3.179,  3.137 },
+   { 4.965,  4.103,  3.708,  3.478,  3.326,  3.217,  3.135,  3.072,  3.020,  2.978 },
+   { 4.844,  3.982,  3.587,  3.357,  3.204,  3.095,  3.012,  2.948,  2.896,  2.854 },
+   { 4.747,  3.885,  3.490,  3.259,  3.106,  2.996,  2.913,  2.849,  2.796,  2.753 },
+   { 4.667,  3.806,  3.411,  3.179,  3.025,  2.915,  2.832,  2.767,  2.714,  2.671 },
+   { 4.600,  3.739,  3.344,  3.112,  2.958,  2.848,  2.764,  2.699,  2.646,  2.602 },
+   { 4.543,  3.682,  3.287,  3.056,  2.901,  2.790,  2.707,  2.641,  2.588,  2.544 },
+   { 4.494,  3.634,  3.239,  3.007,  2.852,  2.741,  2.657,  2.591,  2.538,  2.494 },
+   { 4.451,  3.592,  3.197,  2.965,  2.810,  2.699,  2.614,  2.548,  2.494,  2.450 },
+   { 4.414,  3.555,  3.160,  2.928,  2.773,  2.661,  2.577,  2.510,  2.456,  2.412 },
+   { 4.381,  3.522,  3.127,  2.895,  2.740,  2.628,  2.544,  2.477,  2.423,  2.378 },
+   { 4.351,  3.493,  3.098,  2.866,  2.711,  2.599,  2.514,  2.447,  2.393,  2.348 },
+   { 4.325,  3.467,  3.072,  2.840,  2.685,  2.573,  2.488,  2.420,  2.366,  2.321 },
+   { 4.301,  3.443,  3.049,  2.817,  2.661,  2.549,  2.464,  2.397,  2.342,  2.297 },
+   { 4.279,  3.422,  3.028,  2.796,  2.640,  2.528,  2.442,  2.375,  2.320,  2.275 },
+   { 4.260,  3.403,  3.009,  2.776,  2.621,  2.508,  2.423,  2.355,  2.300,  2.255 },
+   { 4.242,  3.385,  2.991,  2.759,  2.603,  2.490,  2.405,  2.337,  2.282,  2.236 },
+   { 4.225,  3.369,  2.975,  2.743,  2.587,  2.474,  2.388,  2.321,  2.265,  2.220 },
+   { 4.210,  3.354,  2.960,  2.728,  2.572,  2.459,  2.373,  2.305,  2.250,  2.204 },
+   { 4.196,  3.340,  2.947,  2.714,  2.558,  2.445,  2.359,  2.291,  2.236,  2.190 },
+   { 4.183,  3.328,  2.934,  2.701,  2.545,  2.432,  2.346,  2.278,  2.223,  2.177 },
+   { 4.171,  3.316,  2.922,  2.690,  2.534,  2.421,  2.334,  2.266,  2.211,  2.165 },
+   { 4.160,  3.305,  2.911,  2.679,  2.523,  2.409,  2.323,  2.255,  2.199,  2.153 },
+   { 4.149,  3.295,  2.901,  2.668,  2.512,  2.399,  2.313,  2.244,  2.189,  2.142 },
+   { 4.139,  3.285,  2.892,  2.659,  2.503,  2.389,  2.303,  2.235,  2.179,  2.133 },
+   { 4.130,  3.276,  2.883,  2.650,  2.494,  2.380,  2.294,  2.225,  2.170,  2.123 },
+   { 4.121,  3.267,  2.874,  2.641,  2.485,  2.372,  2.285,  2.217,  2.161,  2.114 },
+   { 4.113,  3.259,  2.866,  2.634,  2.477,  2.364,  2.277,  2.209,  2.153,  2.106 },
+   { 4.105,  3.252,  2.859,  2.626,  2.470,  2.356,  2.270,  2.201,  2.145,  2.098 },
+   { 4.098,  3.245,  2.852,  2.619,  2.463,  2.349,  2.262,  2.194,  2.138,  2.091 },
+   { 4.091,  3.238,  2.845,  2.612,  2.456,  2.342,  2.255,  2.187,  2.131,  2.084 },
+   { 4.085,  3.232,  2.839,  2.606,  2.449,  2.336,  2.249,  2.180,  2.124,  2.077 },
+   { 4.079,  3.226,  2.833,  2.600,  2.443,  2.330,  2.243,  2.174,  2.118,  2.071 },
+   { 4.073,  3.220,  2.827,  2.594,  2.438,  2.324,  2.237,  2.168,  2.112,  2.065 },
+   { 4.067,  3.214,  2.822,  2.589,  2.432,  2.318,  2.232,  2.163,  2.106,  2.059 },
+   { 4.062,  3.209,  2.816,  2.584,  2.427,  2.313,  2.226,  2.157,  2.101,  2.054 },
+   { 4.057,  3.204,  2.812,  2.579,  2.422,  2.308,  2.221,  2.152,  2.096,  2.049 },
+   { 4.052,  3.200,  2.807,  2.574,  2.417,  2.304,  2.216,  2.147,  2.091,  2.044 },
+   { 4.047,  3.195,  2.802,  2.570,  2.413,  2.299,  2.212,  2.143,  2.086,  2.039 },
+   { 4.043,  3.191,  2.798,  2.565,  2.409,  2.295,  2.207,  2.138,  2.082,  2.035 },
+   { 4.038,  3.187,  2.794,  2.561,  2.404,  2.290,  2.203,  2.134,  2.077,  2.030 },
+   { 4.034,  3.183,  2.790,  2.557,  2.400,  2.286,  2.199,  2.130,  2.073,  2.026 },
+   { 4.030,  3.179,  2.786,  2.553,  2.397,  2.283,  2.195,  2.126,  2.069,  2.022 },
+   { 4.027,  3.175,  2.783,  2.550,  2.393,  2.279,  2.192,  2.122,  2.066,  2.018 },
+   { 4.023,  3.172,  2.779,  2.546,  2.389,  2.275,  2.188,  2.119,  2.062,  2.015 },
+   { 4.020,  3.168,  2.776,  2.543,  2.386,  2.272,  2.185,  2.115,  2.059,  2.011 },
+   { 4.016,  3.165,  2.773,  2.540,  2.383,  2.269,  2.181,  2.112,  2.055,  2.008 },
+   { 4.013,  3.162,  2.769,  2.537,  2.380,  2.266,  2.178,  2.109,  2.052,  2.005 },
+   { 4.010,  3.159,  2.766,  2.534,  2.377,  2.263,  2.175,  2.106,  2.049,  2.001 },
+   { 4.007,  3.156,  2.764,  2.531,  2.374,  2.260,  2.172,  2.103,  2.046,  1.998 },
+   { 4.004,  3.153,  2.761,  2.528,  2.371,  2.257,  2.169,  2.100,  2.043,  1.995 },
+   { 4.001,  3.150,  2.758,  2.525,  2.368,  2.254,  2.167,  2.097,  2.040,  1.993 },
+   { 3.998,  3.148,  2.755,  2.523,  2.366,  2.251,  2.164,  2.094,  2.037,  1.990 },
+   { 3.996,  3.145,  2.753,  2.520,  2.363,  2.249,  2.161,  2.092,  2.035,  1.987 },
+   { 3.993,  3.143,  2.751,  2.518,  2.361,  2.246,  2.159,  2.089,  2.032,  1.985 },
+   { 3.991,  3.140,  2.748,  2.515,  2.358,  2.244,  2.156,  2.087,  2.030,  1.982 },
+   { 3.989,  3.138,  2.746,  2.513,  2.356,  2.242,  2.154,  2.084,  2.027,  1.980 },
+   { 3.986,  3.136,  2.744,  2.511,  2.354,  2.239,  2.152,  2.082,  2.025,  1.977 },
+   { 3.984,  3.134,  2.742,  2.509,  2.352,  2.237,  2.150,  2.080,  2.023,  1.975 },
+   { 3.982,  3.132,  2.740,  2.507,  2.350,  2.235,  2.148,  2.078,  2.021,  1.973 },
+   { 3.980,  3.130,  2.737,  2.505,  2.348,  2.233,  2.145,  2.076,  2.019,  1.971 },
+   { 3.978,  3.128,  2.736,  2.503,  2.346,  2.231,  2.143,  2.074,  2.017,  1.969 },
+   { 3.976,  3.126,  2.734,  2.501,  2.344,  2.229,  2.142,  2.072,  2.015,  1.967 },
+   { 3.974,  3.124,  2.732,  2.499,  2.342,  2.227,  2.140,  2.070,  2.013,  1.965 },
+   { 3.972,  3.122,  2.730,  2.497,  2.340,  2.226,  2.138,  2.068,  2.011,  1.963 },
+   { 3.970,  3.120,  2.728,  2.495,  2.338,  2.224,  2.136,  2.066,  2.009,  1.961 },
+   { 3.968,  3.119,  2.727,  2.494,  2.337,  2.222,  2.134,  2.064,  2.007,  1.959 },
+   { 3.967,  3.117,  2.725,  2.492,  2.335,  2.220,  2.133,  2.063,  2.006,  1.958 },
+   { 3.965,  3.115,  2.723,  2.490,  2.333,  2.219,  2.131,  2.061,  2.004,  1.956 },
+   { 3.963,  3.114,  2.722,  2.489,  2.332,  2.217,  2.129,  2.059,  2.002,  1.954 },
+   { 3.962,  3.112,  2.720,  2.487,  2.330,  2.216,  2.128,  2.058,  2.001,  1.953 },
+   { 3.960,  3.111,  2.719,  2.486,  2.329,  2.214,  2.126,  2.056,  1.999,  1.951 },
+   { 3.959,  3.109,  2.717,  2.484,  2.327,  2.213,  2.125,  2.055,  1.998,  1.950 },
+   { 3.957,  3.108,  2.716,  2.483,  2.326,  2.211,  2.123,  2.053,  1.996,  1.948 },
+   { 3.956,  3.107,  2.715,  2.482,  2.324,  2.210,  2.122,  2.052,  1.995,  1.947 },
+   { 3.955,  3.105,  2.713,  2.480,  2.323,  2.209,  2.121,  2.051,  1.993,  1.945 },
+   { 3.953,  3.104,  2.712,  2.479,  2.322,  2.207,  2.119,  2.049,  1.992,  1.944 },
+   { 3.952,  3.103,  2.711,  2.478,  2.321,  2.206,  2.118,  2.048,  1.991,  1.943 },
+   { 3.951,  3.101,  2.709,  2.476,  2.319,  2.205,  2.117,  2.047,  1.989,  1.941 },
+   { 3.949,  3.100,  2.708,  2.475,  2.318,  2.203,  2.115,  2.045,  1.988,  1.940 },
+   { 3.948,  3.099,  2.707,  2.474,  2.317,  2.202,  2.114,  2.044,  1.987,  1.939 },
+   { 3.947,  3.098,  2.706,  2.473,  2.316,  2.201,  2.113,  2.043,  1.986,  1.938 },
+   { 3.946,  3.097,  2.705,  2.472,  2.315,  2.200,  2.112,  2.042,  1.984,  1.936 },
+   { 3.945,  3.095,  2.704,  2.471,  2.313,  2.199,  2.111,  2.041,  1.983,  1.935 },
+   { 3.943,  3.094,  2.703,  2.470,  2.312,  2.198,  2.110,  2.040,  1.982,  1.934 },
+   { 3.942,  3.093,  2.701,  2.469,  2.311,  2.197,  2.109,  2.038,  1.981,  1.933 },
+   { 3.941,  3.092,  2.700,  2.467,  2.310,  2.196,  2.108,  2.037,  1.980,  1.932 },
+   { 3.940,  3.091,  2.699,  2.466,  2.309,  2.195,  2.106,  2.036,  1.979,  1.931 },
+   { 3.939,  3.090,  2.698,  2.465,  2.308,  2.194,  2.105,  2.035,  1.978,  1.930 },
+   { 3.938,  3.089,  2.697,  2.465,  2.307,  2.193,  2.104,  2.034,  1.977,  1.929 },
+   { 3.937,  3.088,  2.696,  2.464,  2.306,  2.192,  2.103,  2.033,  1.976,  1.928 },
+   { 3.936,  3.087,  2.696,  2.463,  2.305,  2.191,  2.103,  2.032,  1.975,  1.927 }
+};
+
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, test data is to three decimal places only
+  // so set tolerance to 0.002 expressed as a percentage.  Note that
+  // we can't even get full 3 digit accuracy since the data we're
+  // using as input has *already been rounded*, leading to even
+  // greater differences in output.  As an accuracy test this is
+  // pretty useless, but it is an excellent sanity check.
+
+  RealType tolerance = 0.002f * 100;
+  cout << "Tolerance = " << tolerance << "%." << endl;
+
+  using boost::math::fisher_f_distribution;
+  using  ::boost::math::fisher_f;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  for(unsigned i = 0; i < sizeof(upper_critical_values) / sizeof(upper_critical_values[0]); ++i)
+  {
+     for(unsigned j = 0; j < sizeof(upper_critical_values[0])/sizeof(upper_critical_values[0][0]); ++j)
+     {
+        test_spot(
+           static_cast<RealType>(j+1),   // degrees of freedom 1
+           static_cast<RealType>(i+1),   // degrees of freedom 2
+           static_cast<RealType>(upper_critical_values[i][j]), // test statistic F
+           static_cast<RealType>(0.95),       // Probability of result (CDF), P
+           static_cast<RealType>(0.05),       // Q = 1 - P
+           tolerance);
+     }
+  }
+
+   // http://www.vias.org/simulations/simusoft_distcalc.html
+   // Distcalc version 1.2 Copyright 2002 H Lohninger, TU Wein
+   // H.Lohninger: Teach/Me Data Analysis, Springer-Verlag, Berlin-New York-Tokyo, 1999. ISBN 3-540-14743-8
+   // The Windows calculator is available zipped distcalc.exe for download at:
+   // http://www.vias.org/simulations/simu_stat.html
+
+   // This interactive Windows program was used to find some combination for which the
+   // result appears to be exact.  No doubt this can be done analytically too,
+   // by mathematicians!
+
+   // Some combinations for which the result is 'exact', or at least is to 40 decimal digits.
+   // 40 decimal digits includes 128-bit significand User Defined Floating-Point types.
+   // These all pass tests at near epsilon accuracy for the floating-point type.
+   tolerance = boost::math::tools::epsilon<RealType>() * 5 * 100;
+   cout << "Tolerance = " << tolerance << "%." << endl;
+   BOOST_CHECK_CLOSE(
+      cdf(fisher_f_distribution<RealType>(
+         static_cast<RealType>(1.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(2.)/static_cast<RealType>(3.) ),  // F
+      static_cast<RealType>(0.5), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(1.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(1.6L))),  // F
+      static_cast<RealType>(0.333333333333333333333333333333333333L), // probability.
+      tolerance * 100); // needs higher tolerance at 128-bit precision - value not exact?
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(1.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(6.5333333333333333333333333333333333L))),  // F
+      static_cast<RealType>(0.125L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(1.))),  // F
+      static_cast<RealType>(0.5L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(3.))),  // F
+      static_cast<RealType>(0.25L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(3.))),  // F
+      static_cast<RealType>(0.25L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(7.))),  // F
+      static_cast<RealType>(0.125L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(9.))),  // F
+      static_cast<RealType>(0.1L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(19.))),  // F
+      static_cast<RealType>(0.05L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(29.))),  // F
+      static_cast<RealType>(0.03333333333333333333333333333333333333333L), // probability.
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(99.))),  // F
+      static_cast<RealType>(0.01L), // probability. 
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(4.),  // df1
+         static_cast<RealType>(4.)),  // df2
+         static_cast<RealType>(9.))),  // F
+      static_cast<RealType>(0.028L), // probability. 
+      tolerance*10);   // not quite exact???
+
+   BOOST_CHECK_CLOSE(
+      cdf(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(8.),  // df1
+         static_cast<RealType>(8.)),  // df2
+         static_cast<RealType>(1.))),  // F
+      static_cast<RealType>(0.5L), // probability. 
+      tolerance);
+
+// Inverse tests
+
+      BOOST_CHECK_CLOSE(
+      quantile(complement(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(0.03333333333333333333333333333333333333333L))),  // probability
+      static_cast<RealType>(29.), // F expected.
+      tolerance*10);
+
+      BOOST_CHECK_CLOSE(
+      quantile(fisher_f_distribution<RealType>(
+         static_cast<RealType>(2.),  // df1
+         static_cast<RealType>(2.)),  // df2
+         static_cast<RealType>(1.0L - 0.03333333333333333333333333333333333333333L)),  // probability
+      static_cast<RealType>(29.), // F expected.
+      tolerance*10);
+
+
+// Also note limit cases for F(1, infinity) == normal distribution
+// F(1, n2) == Student's t distribution
+// F(n1, infinity) == Chisq distribution
+
+// These might allow some further cross checks?
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100;  // 5 eps as a percent
+    cout << "Tolerance = " << tol2 << "%." << endl;
+    fisher_f_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(6));
+    RealType x = 7;
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(6)/static_cast<RealType>(4), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(2 * 6 * 6 * (8 + 6 - 2)) / static_cast<RealType>(8 * 16 * 2), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , sqrt(static_cast<RealType>(2 * 6 * 6 * (8 + 6 - 2)) / static_cast<RealType>(8 * 16 * 2)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(6*6)/static_cast<RealType>(8*8), tol2);
+
+    fisher_f_distribution<RealType> dist2(static_cast<RealType>(8), static_cast<RealType>(12));
+    BOOST_CHECK_CLOSE(
+       skewness(dist2)
+       , static_cast<RealType>(26 * sqrt(64.0L)) / (12*6), tol2);
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist2)
+       , static_cast<RealType>(6272) * 12 / 3456, tol2);
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist2)
+       , static_cast<RealType>(6272) * 12 / 3456 + 3, tol2);
+    // special cases:
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(static_cast<RealType>(1), static_cast<RealType>(1)),
+          static_cast<RealType>(0)), std::overflow_error
+       );
+    BOOST_CHECK_EQUAL(
+       pdf(fisher_f_distribution<RealType>(2, 2), static_cast<RealType>(0))
+       , static_cast<RealType>(1.0f));
+    BOOST_CHECK_EQUAL(
+       pdf(fisher_f_distribution<RealType>(3, 3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(fisher_f_distribution<RealType>(1, 1), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(fisher_f_distribution<RealType>(2, 2), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(fisher_f_distribution<RealType>(3, 3), static_cast<RealType>(0))
+       , static_cast<RealType>(0.0f));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(fisher_f_distribution<RealType>(1, 1), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(fisher_f_distribution<RealType>(2, 2), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+    BOOST_CHECK_EQUAL(
+       cdf(complement(fisher_f_distribution<RealType>(3, 3), static_cast<RealType>(0)))
+       , static_cast<RealType>(1));
+
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(-1, 2),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(1, -1),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       pdf(
+          fisher_f_distribution<RealType>(8, 2),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          fisher_f_distribution<RealType>(-1, 1),
+          static_cast<RealType>(1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(
+          fisher_f_distribution<RealType>(8, 4),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          fisher_f_distribution<RealType>(-1, 2),
+          static_cast<RealType>(1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       cdf(complement(
+          fisher_f_distribution<RealType>(8, 4),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          fisher_f_distribution<RealType>(-1, 2),
+          static_cast<RealType>(0.5)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(-1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(1.1)), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          fisher_f_distribution<RealType>(2, -1),
+          static_cast<RealType>(0.5))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(-1))), std::domain_error
+       );
+    BOOST_MATH_CHECK_THROW(
+       quantile(complement(
+          fisher_f_distribution<RealType>(8, 8),
+          static_cast<RealType>(1.1))), std::domain_error
+       );
+   check_out_of_range<fisher_f_distribution<RealType> >(2, 3);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+  // Check that can generate fisher distribution using the two convenience methods:
+   boost::math::fisher_f myf1(1., 2); // Using typedef
+   fisher_f_distribution<> myf2(1., 2); // Using default RealType double.
+
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_fisher.exe"
+Running 1 test case...
+Tolerance = 0.2%.
+Tolerance = 5.96046e-005%.
+Tolerance = 5.96046e-005%.
+Tolerance = 0.2%.
+Tolerance = 1.11022e-013%.
+Tolerance = 1.11022e-013%.
+Tolerance = 0.2%.
+Tolerance = 1.11022e-013%.
+Tolerance = 1.11022e-013%.
+Tolerance = 0.2%.
+Tolerance = 1.11022e-013%.
+Tolerance = 1.11022e-013%.
+*** No errors detected
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_gamma.cpp b/src/boost/libs/math/test/test_gamma.cpp
new file mode 100644
index 000000000..8ecfd5c14
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma.cpp
@@ -0,0 +1,340 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_gamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions tgamma and lgamma, and the 
+// function tgamma1pm1.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // G++ on Darwin: results are just slightly worse than we might hope for
+   // but still pretty good:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 100, 15); // test function
+   //
+   // G++ On Win32:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                      // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 100, 15); // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 200);  // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 200, 100);  // test function
+   //
+   // G++ on Linux, result vary a bit by processor type,
+   // on Itanium results are *much* better than listed here,
+   // but x86 appears to have much less accurate std::pow
+   // that throws off the results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 200); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 30, 10);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 50, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 50, 15);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "near (0|-55)",                // test data group
+      "(t|l)gamma", 300, 150);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 40, 10);  // test function
+   //
+   // HP-UX results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 5, 4);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                       // platform
+      largest_type,                  // test type(s)
+      "near (0|-55)",                // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 250, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 50, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 200, 80);  // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 50, 20);  // test function
+   //
+   // Sun OS:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                       // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 450, 100); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                       // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 450, 150); // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 4, 1);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 9, 1);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (0|-55)",                // test data group
+      "(t|l)gamma", 200, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 14, 7);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 30, 9);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 200, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 300, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "lgamma", 40000000, 10000000);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 20, 5);  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_gamma(0.1F, "float");
+#endif
+   test_gamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_gamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_gamma.hpp b/src/boost/libs/math/test/test_gamma.hpp
new file mode 100644
index 000000000..e94d3b9a0
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma.hpp
@@ -0,0 +1,337 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_gamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && (!defined(TGAMMA_FUNCTION_TO_TEST) || !defined(LGAMMA_FUNCTION_TO_TEST)))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef TGAMMA_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma<value_type>;
+#else
+   pg funcp = boost::math::tgamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma", test_name);
+   //
+   // test lgamma against data:
+   //
+#ifdef LGAMMA_FUNCTION_TO_TEST
+   funcp = LGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::lgamma<value_type>;
+#else
+   funcp = boost::math::lgamma;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "lgamma", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_gammap1m1(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA1PM1_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef TGAMMA1PM1_FUNCTION_TO_TEST
+   pg funcp = TGAMMA1PM1_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma1pm1<value_type>;
+#else
+   pg funcp = boost::math::tgamma1pm1;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma1pm1 against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma1pm1", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value, gamma and lgamma:
+   //
+   // gamma and lgamma at integer and half integer values:
+   // boost::array<boost::array<T, 3>, N> factorials;
+   //
+   // gamma and lgamma for z near 0:
+   // boost::array<boost::array<T, 3>, N> near_0;
+   //
+   // gamma and lgamma for z near 1:
+   // boost::array<boost::array<T, 3>, N> near_1;
+   //
+   // gamma and lgamma for z near 2:
+   // boost::array<boost::array<T, 3>, N> near_2;
+   //
+   // gamma and lgamma for z near -10:
+   // boost::array<boost::array<T, 3>, N> near_m10;
+   //
+   // gamma and lgamma for z near -55:
+   // boost::array<boost::array<T, 3>, N> near_m55;
+   //
+   // The last two cases are chosen more or less at random,
+   // except that one is even and the other odd, and both are
+   // at negative poles.  The data near zero also tests near
+   // a pole, the data near 1 and 2 are to probe lgamma as
+   // the result -> 0.
+   //
+#  include "test_gamma_data.ipp"
+
+   do_test_gamma<T>(factorials, name, "factorials");
+   do_test_gamma<T>(near_0, name, "near 0");
+   do_test_gamma<T>(near_1, name, "near 1");
+   do_test_gamma<T>(near_2, name, "near 2");
+   do_test_gamma<T>(near_m10, name, "near -10");
+   do_test_gamma<T>(near_m55, name, "near -55");
+
+   //
+   // And now tgamma1pm1 which computes gamma(1+dz)-1:
+   //
+   do_test_gammap1m1<T>(gammap1m1_data, name, "tgamma1pm1(dz)");
+}
+
+template <class T>
+void test_spots(T, const char* name)
+{
+   BOOST_MATH_STD_USING
+   
+   std::cout << "Testing type " << name << std::endl;
+   //
+   // basic sanity checks, tolerance is 50 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 5000;
+   //
+   // Extra tolerance for real_concept checks which use less accurate code:
+   //
+   T extra_tol = boost::is_floating_point<T>::value ? 1 : 20;
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(3.5)), static_cast<T>(3.3233509704478425511840640312646472177454052302295L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.125)), static_cast<T>(7.5339415987976119046992298412151336246104195881491L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-0.125)), static_cast<T>(-8.7172188593831756100190140408231437691829605421405L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-3.125)), static_cast<T>(1.1668538708507675587790157356605097019141636072094L), tolerance);
+   // Lower tolerance on this one, is only really needed on Linux x86 systems, result is mostly down to std lib accuracy:
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-53249.0 / 1024)), static_cast<T>(-1.2646559519067605488251406578743995122462767733517e-65L), tolerance * 3);
+
+   // Very small values, from a bug report by Rocco Romeo:
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -12)), static_cast<T>(4095.42302574977164107280305038926932586783813167844235368772L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -14)), static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L), tolerance * 2);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -25)), static_cast<T>(3.35544314227843645746319656372890833248893111091576093784981e7L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -27)), static_cast<T>(1.34217727422784342467508497080056807355928046680073490038257e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -29)), static_cast<T>(5.36870911422784336940727488260481582524683632281496706906706e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -35)), static_cast<T>(3.43597383674227843351272524573929605605651956475300480712955e10L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -54)), static_cast<T>(1.80143985094819834227843350984671942971248427509141008005685e16L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -64)), static_cast<T>(1.84467440737095516154227843350984671394471047428598176073616e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -66)), static_cast<T>(7.37869762948382064634227843350984671394068921181531525785592922800e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -33)), static_cast<T>(8.58993459142278433521360841138215453639282914047157884932317481977e9L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(4 / boost::math::tools::max_value<T>()), boost::math::tools::max_value<T>() / 4, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -12)), static_cast<T>(-4096.57745718775464971331294488248972086965434176847741450728L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -14)), static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L), tolerance * 2);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -25)), static_cast<T>(-3.35544325772156943776992988569766723938420508937071533029983e7L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -27)), static_cast<T>(-1.34217728577215672270574319043497450577151370942651414968627e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -29)), static_cast<T>(-5.36870912577215666743793215770406791630514293641886249382012e8L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -34)), static_cast<T>(-1.71798691845772156649591034966100693794360502123447124928244e10L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -54)), static_cast<T>(-1.80143985094819845772156649015329155101490229157245556564920e16L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -64)), static_cast<T>(-1.84467440737095516165772156649015328606601289230246224694513e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -66)), static_cast<T>(-7.37869762948382064645772156649015328606199162983179574406439e19L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -33)), static_cast<T>(-8.58993459257721566501667413261977598620193488449233402857632e9L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 / boost::math::tools::max_value<T>()), -boost::math::tools::max_value<T>() / 4, tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -22)), static_cast<T>(-4.19430442278467170746130758391572421252211886167956799318843e6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -22)), static_cast<T>(4.19430357721600151046968956086404748206205391186399889108944e6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -20)), static_cast<T>(43690.7294216755534842491085530510391932288379640970386378756L), tolerance * extra_tol);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -20)), static_cast<T>(-43690.6039118698506165317137699180871126338425941292693705533L), tolerance * extra_tol);
+   if(boost::math::tools::digits<T>() > 50)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -44)), static_cast<T>(-1.75921860444164227843350985473932247549232492467032584051825e13L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -44)), static_cast<T>(1.75921860444155772156649016131144377791001546933519242218430e13L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -44)), static_cast<T>(7.33007751850729421569517998006564998020333048893618664936994e11L), tolerance * extra_tol);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -44)), static_cast<T>(-7.33007751850603911763815347967171096249288790373790093559568e11L), tolerance * extra_tol);
+   }
+   if(boost::math::tools::digits<T>() > 60)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -55)), static_cast<T>(-3.60287970189639684227843350984671785799289582631555600561524e16L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -55)), static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L), tolerance * 3);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -55)), static_cast<T>(1.50119987579016539608823618465835611632004877549994080474627e15L), tolerance * extra_tol);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -55)), static_cast<T>(-1.50119987579016527057843048200831672241827850458884790004313e15L), tolerance * extra_tol);
+   }
+
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+   // Test bug fixes in tgamma:
+   if(std::numeric_limits<T>::max_exponent10 > 244)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(142.75)), static_cast<T>(7.8029496083318133344429227511387928576820621466e244L), tolerance * 4);
+   }
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   T tolerance_tgamma_extra = std::numeric_limits<T>::is_specialized ? 1 : 10;
+
+   int sign = 1;
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(3.5), &sign), static_cast<T>(1.2009736023470742248160218814507129957702389154682L), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(0.125), &sign), static_cast<T>(2.0194183575537963453202905211670995899482809521344L), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-0.125), &sign), static_cast<T>(2.1653002489051702517540619481440174064962195287626L), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-3.125), &sign), static_cast<T>(0.1543111276840418242676072830970532952413339012367L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-53249.0 / 1024), &sign), static_cast<T>(-149.43323093420259741100038126078721302600128285894L), tolerance);
+   BOOST_CHECK(sign == -1);
+   // Very small values, from a bug report by Rocco Romeo:
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -12), &sign), log(static_cast<T>(4095.42302574977164107280305038926932586783813167844235368772L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -14), &sign), log(static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -25), &sign), log(static_cast<T>(3.35544314227843645746319656372890833248893111091576093784981e7L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -27), &sign), log(static_cast<T>(1.34217727422784342467508497080056807355928046680073490038257e8L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -29), &sign), log(static_cast<T>(5.36870911422784336940727488260481582524683632281496706906706e8L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -35), &sign), log(static_cast<T>(3.43597383674227843351272524573929605605651956475300480712955e10L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -54), &sign), log(static_cast<T>(1.80143985094819834227843350984671942971248427509141008005685e16L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -64), &sign), log(static_cast<T>(1.84467440737095516154227843350984671394471047428598176073616e19L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -66), &sign), log(static_cast<T>(7.37869762948382064634227843350984671394068921181531525785592922800e19L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -33), &sign), log(static_cast<T>(8.58993459142278433521360841138215453639282914047157884932317481977e9L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(4 / boost::math::tools::max_value<T>(), &sign), log(boost::math::tools::max_value<T>() / 4), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -12), &sign), log(-static_cast<T>(-4096.57745718775464971331294488248972086965434176847741450728L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -14), &sign), log(-static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -25), &sign), log(-static_cast<T>(-3.35544325772156943776992988569766723938420508937071533029983e7L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -27), &sign), log(-static_cast<T>(-1.34217728577215672270574319043497450577151370942651414968627e8L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -29), &sign), log(-static_cast<T>(-5.36870912577215666743793215770406791630514293641886249382012e8L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -34), &sign), log(-static_cast<T>(-1.71798691845772156649591034966100693794360502123447124928244e10L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -54), &sign), log(-static_cast<T>(-1.80143985094819845772156649015329155101490229157245556564920e16L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -64), &sign), log(-static_cast<T>(-1.84467440737095516165772156649015328606601289230246224694513e19L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -66), &sign), log(-static_cast<T>(-7.37869762948382064645772156649015328606199162983179574406439e19L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -33), &sign), log(-static_cast<T>(-8.58993459257721566501667413261977598620193488449233402857632e9L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 / boost::math::tools::max_value<T>(), &sign), log(boost::math::tools::max_value<T>() / 4), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -22), &sign), log(static_cast<T>(4.19430442278467170746130758391572421252211886167956799318843e6L)), tolerance);
+   BOOST_CHECK(sign == -1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -22), &sign), log(static_cast<T>(4.19430357721600151046968956086404748206205391186399889108944e6L)), tolerance);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -20), &sign), log(static_cast<T>(43690.7294216755534842491085530510391932288379640970386378756L)), tolerance * extra_tol);
+   BOOST_CHECK(sign == 1);
+   BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -20), &sign), log(static_cast<T>(43690.6039118698506165317137699180871126338425941292693705533L)), tolerance * extra_tol);
+   BOOST_CHECK(sign == -1);
+   if(boost::math::tools::digits<T>() > 50)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(1.75921860444164227843350985473932247549232492467032584051825e13L)), tolerance);
+      BOOST_CHECK(sign == -1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(1.75921860444155772156649016131144377791001546933519242218430e13L)), tolerance);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(7.33007751850729421569517998006564998020333048893618664936994e11L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(7.33007751850603911763815347967171096249288790373790093559568e11L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == -1);
+   }
+   if(boost::math::tools::digits<T>() > 60)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(3.60287970189639684227843350984671785799289582631555600561524e16L)), tolerance);
+      BOOST_CHECK(sign == -1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L)), tolerance);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(1.50119987579016539608823618465835611632004877549994080474627e15L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == 1);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(1.50119987579016527057843048200831672241827850458884790004313e15L)), tolerance * extra_tol);
+      BOOST_CHECK(sign == -1);
+   }
+
+   if(std::numeric_limits<T>::has_denorm && std::numeric_limits<T>::has_infinity && (boost::math::isinf)(1 / std::numeric_limits<T>::denorm_min()))
+   {
+      BOOST_CHECK_EQUAL(boost::math::tgamma(-std::numeric_limits<T>::denorm_min()), -std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(boost::math::tgamma(std::numeric_limits<T>::denorm_min()), std::numeric_limits<T>::infinity());
+   }
+   //
+   // Extra large values for lgamma, see https://github.com/boostorg/math/issues/242
+   //
+   if (boost::math::tools::digits<T>() >= std::numeric_limits<double>::digits)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 32)), static_cast<T>(2.7719825960021351251696385101478518546793793286704974382373670822285114741208958e27L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 62)), static_cast<T>(4.0411767712186990905102512019058204792570873633363159e36L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 326)), static_cast<T>(3.9754720509185529233002820161357111676582583112671658e116L), tolerance);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_gamma_data.ipp b/src/boost/libs/math/test/test_gamma_data.ipp
new file mode 100644
index 000000000..faf3d15a3
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_data.ipp
@@ -0,0 +1,568 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 198> factorials = { {
+      {{ SC_(1.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(2.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(3.0), SC_(2.0), SC_(0.6931471805599453094172321214581765680755) }},
+      {{ SC_(4.0), SC_(6.0), SC_(1.791759469228055000812477358380702272723) }},
+      {{ SC_(5.0), SC_(24.0), SC_(3.178053830347945619646941601297055408874) }},
+      {{ SC_(6.0), SC_(120.0), SC_(4.7874917427820459942477009345232430484) }},
+      {{ SC_(7.0), SC_(720.0), SC_(6.579251212010100995060178292903945321123) }},
+      {{ SC_(8.0), SC_(5040.0), SC_(8.52516136106541430016553103634712505076) }},
+      {{ SC_(9.0), SC_(40320.0), SC_(10.60460290274525022841722740072165475499) }},
+      {{ SC_(10.0), SC_(362880.0), SC_(12.80182748008146961120771787456670616428) }},
+      {{ SC_(11.0), SC_(3628800.0), SC_(15.10441257307551529522570932925107037188) }},
+      {{ SC_(12.0), SC_(39916800.0), SC_(17.5023078458738858392876529072161996717) }},
+      {{ SC_(13.0), SC_(479001600.0), SC_(19.9872144956618861495173623870550785125) }},
+      {{ SC_(14.0), SC_(6227020800.0), SC_(22.55216385312342288557084982862039711731) }},
+      {{ SC_(15.0), SC_(87178291200.0), SC_(25.19122118273868150009343469352175341502) }},
+      {{ SC_(16.0), SC_(1307674368000.0), SC_(27.89927138384089156608943926367046675919) }},
+      {{ SC_(17.0), SC_(20922789888000.0), SC_(30.6718601060806728037583677495031730315) }},
+      {{ SC_(18.0), SC_(355687428096000.0), SC_(33.50507345013688888400790236737629956708) }},
+      {{ SC_(19.0), SC_(6402373705728000.0), SC_(36.39544520803305357621562496267952754445) }},
+      {{ SC_(20.0), SC_(121645100408832000.0), SC_(39.33988418719949403622465239456738108169) }},
+      {{ SC_(21.0), SC_(0.243290200817664e19), SC_(42.33561646075348502965987597070992185737) }},
+      {{ SC_(22.0), SC_(0.5109094217170944e20), SC_(45.38013889847690802616047395107562729165) }},
+      {{ SC_(23.0), SC_(0.112400072777760768e22), SC_(48.47118135183522387963964965049893315955) }},
+      {{ SC_(24.0), SC_(0.2585201673888497664e23), SC_(51.60667556776437357044640248230912927799) }},
+      {{ SC_(25.0), SC_(0.62044840173323943936e24), SC_(54.78472939811231919009334408360618468687) }},
+      {{ SC_(26.0), SC_(0.15511210043330985984e26), SC_(58.00360522298051993929486275005855996592) }},
+      {{ SC_(27.0), SC_(0.403291461126605635584e27), SC_(61.2617017610020019847655823130820551388) }},
+      {{ SC_(28.0), SC_(0.10888869450418352160768e29), SC_(64.55753862700633105895131802384963225274) }},
+      {{ SC_(29.0), SC_(0.304888344611713860501504e30), SC_(67.88974313718153498289113501020916511853) }},
+      {{ SC_(30.0), SC_(0.8841761993739701954543616e31), SC_(71.25703896716800901007440704257107672402) }},
+      {{ SC_(31.0), SC_(0.26525285981219105863630848e33), SC_(74.65823634883016438548764373417796663627) }},
+      {{ SC_(32.0), SC_(0.822283865417792281772556288e34), SC_(78.09222355331531063141680805872032384672) }},
+      {{ SC_(33.0), SC_(0.26313083693369353016721801216e36), SC_(81.5579594561150371785029686660112066871) }},
+      {{ SC_(34.0), SC_(0.868331761881188649551819440128e37), SC_(85.05446701758151741396015748089886169157) }},
+      {{ SC_(35.0), SC_(0.29523279903960414084761860964352e39), SC_(88.58082754219767880362692422023016479523) }},
+      {{ SC_(36.0), SC_(0.103331479663861449296666513375232e41), SC_(92.13617560368709248333303629689953216439) }},
+      {{ SC_(37.0), SC_(0.3719933267899012174679994481508352e42), SC_(95.71969454214320248495799101366093670984) }},
+      {{ SC_(38.0), SC_(0.137637530912263450463159795815809024e44), SC_(99.33061245478742692932608668469238387374) }},
+      {{ SC_(39.0), SC_(0.5230226174666011117600072241000742912e45), SC_(102.9681986145138126987523462380384139791) }},
+      {{ SC_(40.0), SC_(0.203978820811974433586402817399028973568e47), SC_(106.6317602606434591262010789165262582885) }},
+      {{ SC_(41.0), SC_(0.815915283247897734345611269596115894272e48), SC_(110.3206397147573954290535346141269756323) }},
+      {{ SC_(42.0), SC_(0.3345252661316380710817006205344075166515e50), SC_(114.0342117814617032329202979871643832206) }},
+      {{ SC_(43.0), SC_(0.1405006117752879898543142606244511569936e52), SC_(117.771881399745071538838128088988265223) }},
+      {{ SC_(44.0), SC_(0.6041526306337383563735513206851399750726e53), SC_(121.5330815154386339623109706023341122586) }},
+      {{ SC_(45.0), SC_(0.265827157478844876804362581101461589032e55), SC_(125.3172711493568951252073784232155946945) }},
+      {{ SC_(46.0), SC_(0.1196222208654801945619631614956577150644e57), SC_(129.1239336391272148825986282302868337433) }},
+      {{ SC_(47.0), SC_(0.5502622159812088949850305428800254892962e58), SC_(132.9525750356163098828226131835552064299) }},
+      {{ SC_(48.0), SC_(0.2586232415111681806429643551536119799692e60), SC_(136.8027226373263684696435638533273801388) }},
+      {{ SC_(49.0), SC_(0.1241391559253607267086228904737337503852e62), SC_(140.6739236482342593987077375760826121157) }},
+      {{ SC_(50.0), SC_(0.6082818640342675608722521633212953768876e63), SC_(144.565743946344886008918443062968971575) }},
+      {{ SC_(51.0), SC_(0.3041409320171337804361260816606476884438e65), SC_(148.4777669517730320675371938508795234221) }},
+      {{ SC_(52.0), SC_(0.1551118753287382280224243016469303211063e67), SC_(152.4095925844973578391819737056751756623) }},
+      {{ SC_(53.0), SC_(0.8065817517094387857166063685640376697529e68), SC_(156.3608363030787851940699253901568474033) }},
+      {{ SC_(54.0), SC_(0.427488328406002556429801375338939964969e70), SC_(160.3311282166309070282143945291859051737) }},
+      {{ SC_(55.0), SC_(0.2308436973392413804720927426830275810833e72), SC_(164.3201122631951814118173623614116588557) }},
+      {{ SC_(56.0), SC_(0.1269640335365827592596510084756651695958e74), SC_(168.327445448427652330480065272602975795) }},
+      {{ SC_(57.0), SC_(0.7109985878048634518540456474637249497365e75), SC_(172.3527971391628015638371143804206852289) }},
+      {{ SC_(58.0), SC_(0.4052691950487721675568060190543232213498e77), SC_(176.3958484069973517152413870492310644708) }},
+      {{ SC_(59.0), SC_(0.2350561331282878571829474910515074683829e79), SC_(180.4562914175437710518418912030511526443) }},
+      {{ SC_(60.0), SC_(0.1386831185456898357379390197203894063459e81), SC_(184.5338288614494905024579415767708502684) }},
+      {{ SC_(61.0), SC_(0.8320987112741390144276341183223364380754e82), SC_(188.6281734236715911872884103898359167487) }},
+      {{ SC_(62.0), SC_(0.507580213877224798800856812176625227226e84), SC_(192.7390472878449024360397994932615314951) }},
+      {{ SC_(63.0), SC_(0.3146997326038793752565312235495076408801e86), SC_(196.8661816728899939913861959392620652736) }},
+      {{ SC_(64.0), SC_(0.1982608315404440064116146708361898137545e88), SC_(201.0093163992815266792820391565502964125) }},
+      {{ SC_(65.0), SC_(0.1268869321858841641034333893351614808029e90), SC_(205.168199482641198535785431885299355821) }},
+      {{ SC_(66.0), SC_(0.8247650592082470666723170306785496252186e91), SC_(209.3425867525368356464396786600908620653) }},
+      {{ SC_(67.0), SC_(0.5443449390774430640037292402478427526443e93), SC_(213.5322414945632611913140995964366936378) }},
+      {{ SC_(68.0), SC_(0.3647111091818868528824985909660546442717e95), SC_(217.7369341139542272509841715928004163884) }},
+      {{ SC_(69.0), SC_(0.2480035542436830599600990418569171581047e97), SC_(221.9564418191303339500681704535898960601) }},
+      {{ SC_(70.0), SC_(0.1711224524281413113724683388812728390923e99), SC_(226.1905483237275933322701685223226178832) }},
+      {{ SC_(71.0), SC_(0.1197857166996989179607278372168909873646e101), SC_(230.4390435657769523213935127204501618205) }},
+      {{ SC_(72.0), SC_(0.8504785885678623175211676442399260102886e102), SC_(234.7017234428182677427229672529631959172) }},
+      {{ SC_(73.0), SC_(0.6123445837688608686152407038527467274078e104), SC_(238.9783895618343230537651540911827770308) }},
+      {{ SC_(74.0), SC_(0.4470115461512684340891257138125051110077e106), SC_(243.2688490029827141828572629486213196017) }},
+      {{ SC_(75.0), SC_(0.3307885441519386412259530282212537821457e108), SC_(247.5729140961868839366425907411109433336) }},
+      {{ SC_(76.0), SC_(0.2480914081139539809194647711659403366093e110), SC_(251.8904022097231943772393546444858443173) }},
+      {{ SC_(77.0), SC_(0.188549470166605025498793226086114655823e112), SC_(256.2211355500095254560828463192900509907) }},
+      {{ SC_(78.0), SC_(0.1451830920282858696340707840863082849837e114), SC_(260.5649409718632093052501426406983600202) }},
+      {{ SC_(79.0), SC_(0.1132428117820629783145752115873204622873e116), SC_(264.9216497985528010421161074406443808977) }},
+      {{ SC_(80.0), SC_(0.8946182130782975286851441715398316520698e117), SC_(269.2910976510198225362890529821257918199) }},
+      {{ SC_(81.0), SC_(0.7156945704626380229481153372318653216558e119), SC_(273.6731242856937041485587408011846857317) }},
+      {{ SC_(82.0), SC_(0.5797126020747367985879734231578109105412e121), SC_(278.0675734403661429141397217488747885503) }},
+      {{ SC_(83.0), SC_(0.4753643337012841748421382069894049466438e123), SC_(282.4742926876303960274237172433703727067) }},
+      {{ SC_(84.0), SC_(0.3945523969720658651189747118012061057144e125), SC_(286.8931332954269939508991894666617431598) }},
+      {{ SC_(85.0), SC_(0.3314240134565353266999387579130131288001e127), SC_(291.3239500942703075662342516899438017302) }},
+      {{ SC_(86.0), SC_(0.2817104114380550276949479442260611594801e129), SC_(295.7666013507606240210845456410431159053) }},
+      {{ SC_(87.0), SC_(0.2422709538367273238176552320344125971528e131), SC_(300.220948647014131753974620275847139509) }},
+      {{ SC_(88.0), SC_(0.210775729837952771721360051869938959523e133), SC_(304.6868567656687154725531375451315768191) }},
+      {{ SC_(89.0), SC_(0.1854826422573984391147968456455462843802e135), SC_(309.1641935801469219448667774874712358232) }},
+      {{ SC_(90.0), SC_(0.1650795516090846108121691926245361930984e137), SC_(313.6528299498790617831845930281410850426) }},
+      {{ SC_(91.0), SC_(0.1485715964481761497309522733620825737886e139), SC_(318.1526396202093268499930749566705006595) }},
+      {{ SC_(92.0), SC_(0.1352001527678402962551665687594951421476e141), SC_(322.6634991267261768911519151416789989939) }},
+      {{ SC_(93.0), SC_(0.1243841405464130725547532432587355307758e143), SC_(327.1852877037752172007931322164055482485) }},
+      {{ SC_(94.0), SC_(0.1156772507081641574759205162306240436215e145), SC_(331.7178871969284731381175417778704311636) }},
+      {{ SC_(95.0), SC_(0.1087366156656743080273652852567866010042e147), SC_(336.2611819791984770343557245691007814406) }},
+      {{ SC_(96.0), SC_(0.103299784882390592625997020993947270954e149), SC_(340.8150588707990178689655113342148226173) }},
+      {{ SC_(97.0), SC_(0.9916779348709496892095714015418938011582e150), SC_(345.3794070622668541074469171784282311623) }},
+      {{ SC_(98.0), SC_(0.9619275968248211985332842594956369871234e152), SC_(349.9541180407702369295636388001321928762) }},
+      {{ SC_(99.0), SC_(0.942689044888324774562618574305724247381e154), SC_(354.5390855194408088491915764084767289035) }},
+      {{ SC_(1.5), SC_(0.8862269254527580136490837416705725913988), SC_(-0.1207822376352452223455184457816472122519) }},
+      {{ SC_(2.5), SC_(1.329340388179137020473625612505858887098), SC_(0.2846828704729191596324946696827019243201) }},
+      {{ SC_(3.5), SC_(3.323350970447842551184064031264647217745), SC_(1.20097360234707422481602188145071299577) }},
+      {{ SC_(4.5), SC_(11.63172839656744892914422410942626526211), SC_(2.453736570842442220504142503435716157332) }},
+      {{ SC_(5.5), SC_(52.34277778455352018114900849241819367949), SC_(3.957813967618716293877400855822590998551) }},
+      {{ SC_(6.5), SC_(287.8852778150443609963195467083000652372), SC_(5.662562059857141528522112312329543730298) }},
+      {{ SC_(7.5), SC_(1871.254305797788346476077053603950424042), SC_(7.534364236758732955158367632436685767027) }},
+      {{ SC_(8.5), SC_(14034.40729348341259857057790202962818031), SC_(9.549267257300997711737140081127222543125) }},
+      {{ SC_(9.5), SC_(119292.4619946090070878499121672518395327), SC_(11.68933342079726848256944257754217251064) }},
+      {{ SC_(10.5), SC_(1133278.38894878556733457416558889247556), SC_(13.9406252194037636331612378879718494798) }},
+      {{ SC_(11.5), SC_(11899423.08396224845701302873868337099338), SC_(16.29200047656724132024460374687937834601) }},
+      {{ SC_(12.5), SC_(136843365.4655658572556498304948587664239), SC_(18.73434751193644570163412445723139789638) }},
+      {{ SC_(13.5), SC_(1710542068.319573215695622881185734580299), SC_(21.26007615624470114141841100222559660735) }},
+      {{ SC_(14.5), SC_(23092317922.31423841189090889600741683403), SC_(23.86276584168908490618691459153499715322) }},
+      {{ SC_(15.5), SC_(334838609873.5564569724181789921075440935), SC_(26.53691449111561362395295450243873219064) }},
+      {{ SC_(16.5), SC_(5189998453040.125083072481774377666933449), SC_(29.27775451504081456046488670552291283301) }},
+      {{ SC_(17.5), SC_(85634974475162.06387069594927723150440191), SC_(32.08111489594734948650484339895239126941) }},
+      {{ SC_(18.5), SC_(1498612053315336.117737179112351551327033), SC_(34.94331577687681785679372335416358207049) }},
+      {{ SC_(19.5), SC_(27724322986333718.17813781357850369955012), SC_(37.86108650896109699174458690373685266632) }},
+      {{ SC_(20.5), SC_(540624298233507504.4736873647808221412273), SC_(40.83150097453079810977608746076652040769) }},
+      {{ SC_(21.5), SC_(11082798113786903841.71059097800685389516), SC_(43.851925860675160604225618712345751428) }},
+      {{ SC_(22.5), SC_(238280159446418432596.7777060271473587459), SC_(46.91997879580877771828122910423342189548) }},
+      {{ SC_(23.5), SC_(5361303587544414733427.498385610815571784), SC_(50.03349410501915216625524678984648437622) }},
+      {{ SC_(24.5), SC_(125990634307293746235546.2120618541659369), SC_(53.19049452616926544365896533816048151704) }},
+      {{ SC_(25.5), SC_(3086770540528696782770882.195515427065454), SC_(56.38916764371994674445243870358866440824) }},
+      {{ SC_(26.5), SC_(78712648783481767960657495.98564339016909), SC_(59.6278460958843272066799864369261400804) }},
+      {{ SC_(27.5), SC_(2085885192762266850957423643.619549839481), SC_(62.90499082887650373140722345449702128269) }},
+      {{ SC_(28.5), SC_(57361842800962338401329150199.53762058572), SC_(66.21917683354902934065269424423016165396) }},
+      {{ SC_(29.5), SC_(1634812519827426644437880780686.822186693), SC_(69.56908092082363418263973479158236432777) }},
+      {{ SC_(30.5), SC_(48226969334909086010917483030261.25450745), SC_(72.95347118416940832383855304384388538376) }},
+      {{ SC_(31.5), SC_(1470922564714727123332983232422968.262477), SC_(76.371197867782774263172710025811323562) }},
+      {{ SC_(32.5), SC_(46334060788513904384988971821323500.26803), SC_(79.82118541361436164165132112164137813285) }},
+      {{ SC_(33.5), SC_(1505856975626701892512141584193013758.711), SC_(83.30242550295005344288833577497470780911) }},
+      {{ SC_(34.5), SC_(50446208683494513399156743070465960916.82), SC_(86.8139709417810741931411756498802539916) }},
+      {{ SC_(35.5), SC_(1740394199580560712270907635931075651630.0), SC_(90.35493026581838826592594159715479924661) }},
+      {{ SC_(36.5), SC_(61783994085109905285617221075553185632870.0), SC_(93.9244629622997583778381640082096567753) }},
+      {{ SC_(37.5), SC_(0.22551157841065115429250285692576912756e43), SC_(97.52177522288820419751304074419002277813) }},
+      {{ SC_(38.5), SC_(0.8456684190399418285968857134716342283499e44), SC_(101.1461161558645693286925725261067471938) }},
+      {{ SC_(39.5), SC_(0.3255823413303776040098009996865791779147e46), SC_(104.7967743971583078684426367260568796551) }},
+      {{ SC_(40.5), SC_(0.1286050248254991535838713948761987752763e48), SC_(108.4730750690653840531983501460801140092) }},
+      {{ SC_(41.5), SC_(0.5208503505432715720146791492486050398691e49), SC_(112.1743770431778775093620989723120402597) }},
+      {{ SC_(42.5), SC_(0.2161528954754577023860918469381710915457e51), SC_(115.9000704704145301234203390741452341447) }},
+      {{ SC_(43.5), SC_(0.9186498057706952351408903494872271390691e52), SC_(119.6495745463449012688534009037863717517) }},
+      {{ SC_(44.5), SC_(0.3996126655102524272862873020269438054951e54), SC_(123.4223354844395396780146860516126324938) }},
+      {{ SC_(45.5), SC_(0.1778276361520623301423978494019899934453e56), SC_(127.2178246736117342069152694708243051451) }},
+      {{ SC_(46.5), SC_(0.8091157444918836021479102147790544701761e57), SC_(131.0355369995686389386568775343746269115) }},
+      {{ SC_(47.5), SC_(0.3762388211887258749987782498722603286319e59), SC_(134.8749893121619495665640549743813332585) }},
+      {{ SC_(48.5), SC_(0.1787134400646447906244196686893236561001e61), SC_(138.7357190232025450917566096180371978672) }},
+      {{ SC_(49.5), SC_(0.8667601843135272345284353931432197320857e62), SC_(142.6172828211459826044560991182829830129) }},
+      {{ SC_(50.5), SC_(0.4290462912351959810915755196058937673824e64), SC_(146.519255490720627221891301048634987154) }},
+      {{ SC_(51.5), SC_(0.2166683770737739704512456374009763525281e66), SC_(150.4412288270019413633582671940897997428) }},
+      {{ SC_(52.5), SC_(0.111584214192993594782391503261502821552e68), SC_(154.3828106346716318247096373876850639954) }},
+      {{ SC_(53.5), SC_(0.5858171245132163726075553921228898131479e69), SC_(158.3436238042692098863937625798187805011) }},
+      {{ SC_(54.5), SC_(0.3134121616145707593450421347857460500341e71), SC_(162.3233054581711707502809292753838809346) }},
+      {{ SC_(55.5), SC_(0.1708096280799410638430479634582315972686e73), SC_(166.3215061598403691412410136061349060176) }},
+      {{ SC_(56.5), SC_(0.9479934358436729043289161971931853648408e74), SC_(170.337889180592757967587122392630702318) }},
+      {{ SC_(57.5), SC_(0.535616291251675190945837651414149731135e76), SC_(174.372129818745153226752021764788547422) }},
+      {{ SC_(58.5), SC_(0.3079793674697132347938566495631360954026e78), SC_(178.4239147665484579827423018083667546119) }},
+      {{ SC_(59.5), SC_(0.1801679299697822423544061399944346158105e80), SC_(182.4929415207862687921690476023189480579) }},
+      {{ SC_(60.5), SC_(0.1071999183320204342008716532966885964073e82), SC_(186.5789178333378528681067028421770777551) }},
+      {{ SC_(61.5), SC_(0.648559505908723626915273502444966008264e83), SC_(190.6815611983746486468133578766491597866) }},
+      {{ SC_(62.5), SC_(0.3988640961338650305528932040036540950824e85), SC_(194.8005983731871208326581343651509165116) }},
+      {{ SC_(63.5), SC_(0.2492900600836656440955582525022838094265e87), SC_(198.9357649299294766470431802433713028621) }},
+      {{ SC_(64.5), SC_(0.1582991881531276840006794903389502189858e89), SC_(203.0868048358281226106733889296294186889) }},
+      {{ SC_(65.5), SC_(0.1021029763587673561804382712686228912459e91), SC_(207.253470059629849416124244558439614861) }},
+      {{ SC_(66.5), SC_(0.6687744951499261829818706768094799376603e92), SC_(211.435520202271055650856436448150964186) }},
+      {{ SC_(67.5), SC_(0.4447350392747009116829440000783041585441e94), SC_(215.6327221499328641065535845020238208848) }},
+      {{ SC_(68.5), SC_(0.3001961515104231153859872000528553070173e96), SC_(219.8448497478113482459228474245594090702) }},
+      {{ SC_(69.5), SC_(0.2056343637846398340394012320362058853068e98), SC_(224.0716834930795278518208054310810978927) }},
+      {{ SC_(70.5), SC_(0.1429158828303246846573838562651630902882e100), SC_(228.3130102456502742995923582284984651071) }},
+      {{ SC_(71.5), SC_(0.1007556973953789026834556186669399786532e102), SC_(232.5686229554684972683913220137349879525) }},
+      {{ SC_(72.5), SC_(0.7204032363769591541867076734686208473705e103), SC_(236.8383204051684592390895209118072592891) }},
+      {{ SC_(73.5), SC_(0.5222923463732953867853630632647501143436e105), SC_(241.121906967029088331456320155937181966) }},
+      {{ SC_(74.5), SC_(0.3838848745843721092872418514995913340426e107), SC_(245.4191923732478793236450387582878905619) }},
+      {{ SC_(75.5), SC_(0.2859942315653572214189951793671955438617e109), SC_(249.7299914986333931552202349119338344817) }},
+      {{ SC_(76.5), SC_(0.2159256448318447021713413604222326356156e111), SC_(254.0541241548883721745992390899601342039) }},
+      {{ SC_(77.5), SC_(0.1651831182963611971610761407230079662459e113), SC_(258.3914148957208623282220320602201355807) }},
+      {{ SC_(78.5), SC_(0.1280169166796799277998340090603311738406e115), SC_(262.7416928320801636393347235965305038626) }},
+      {{ SC_(79.5), SC_(0.1004932795935487433228696971123599714649e117), SC_(267.1047914568685263873419367114758025432) }},
+      {{ SC_(80.5), SC_(0.7989215727687125094168140920432617731457e118), SC_(271.4805484785288126034644189659692094502) }},
+      {{ SC_(81.5), SC_(0.6431318660788135700805353440948257273823e120), SC_(275.8688056629533302899592924197644087302) }},
+      {{ SC_(82.5), SC_(0.5241524708542330596156363054372829678165e122), SC_(280.2694086832001473146069926644269820387) }},
+      {{ SC_(83.5), SC_(0.4324257884547422741828999519857584484486e124), SC_(284.6822069765407826152477086910826481146) }},
+      {{ SC_(84.5), SC_(0.3610755333597097989427214599081083044546e126), SC_(289.1070536083975924130902273463692509124) }},
+      {{ SC_(85.5), SC_(0.3051088256889547801065996336223515172642e128), SC_(293.5438051427607205757799701080417115539) }},
+      {{ SC_(86.5), SC_(0.2608680459640563369911426867471105472609e130), SC_(297.9923215187034351091622558923164399324) }},
+      {{ SC_(87.5), SC_(0.2256508597589087314973384240362506233806e132), SC_(302.4524659326412687466785241592992548335) }},
+      {{ SC_(88.5), SC_(0.1974445022890451400601711210317192954581e134), SC_(306.9241047260048374915681634477366332741) }},
+      {{ SC_(89.5), SC_(0.1747383845258049489532514421130715764804e136), SC_(311.4071072780187213241622269369206800347) }},
+      {{ SC_(90.5), SC_(0.1563908541505954293131600406911990609499e138), SC_(315.9013459032995310109227992454839056422) }},
+      {{ SC_(91.5), SC_(0.1415337230062888635284098368255351501597e140), SC_(320.4066957540054114483446541626587380014) }},
+      {{ SC_(92.5), SC_(0.1295033565507543101284950006953646623961e142), SC_(324.9230347262868870790740563815487018843) }},
+      {{ SC_(93.5), SC_(0.1197906048094477368688578756432123127164e144), SC_(329.4502433708052665886256792643481601196) }},
+      {{ SC_(94.5), SC_(0.1120042154968336339723821137264035123898e146), SC_(333.988204807099907903519925338728239387) }},
+      {{ SC_(95.5), SC_(0.1058439836445077841039010974714513192084e148), SC_(338.5368046415996049733937816714808196625) }},
+      {{ SC_(96.5), SC_(0.101081004380504933819225548085236009844e150), SC_(343.095930889086289536826499502225010241) }},
+      {{ SC_(97.5), SC_(0.9754316922718726113555265390225274949948e151), SC_(347.6654738974312297792641984341498924371) }},
+      {{ SC_(98.5), SC_(0.95104589996507579607163837554696430762e153), SC_(352.245326275435031271896458324405747818) }},
+      {{ SC_(99.5), SC_(0.9367802114655996591305637999137598430057e155), SC_(356.835382823613074469259023532110402225) }}
+   } };
+
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 41> near_1 = { {
+      {{ SC_(0.5), SC_(1.772453850905516027298167483341145182798), SC_(0.5723649429247000870717136756765293558236) }},
+      {{ SC_(0.625), SC_(1.434518848090556775636019739456423136632), SC_(0.3608294954889401811849576858227794878574) }},
+      {{ SC_(0.75), SC_(1.225416702465177645129098303362890526851), SC_(0.2032809514312953714814329718624296997597) }},
+      {{ SC_(0.875), SC_(1.089652357422896951252376755102892971148), SC_(0.08585870722533432350236558376948770226972) }},
+      {{ SC_(0.875), SC_(1.089652357422896951252376755102892971148), SC_(0.08585870722533432350236558376948770226972) }},
+      {{ SC_(0.9375), SC_(1.040177011186767171459762817361921128614), SC_(0.03939090173458230065822754634095384450336) }},
+      {{ SC_(0.96875), SC_(1.019032525056673950564730047928136024882), SC_(0.01885367233441289053559206570480080890174) }},
+      {{ SC_(0.984375), SC_(1.009263984715686303151364227987264939567), SC_(0.009221337197578781045045446027854805411837) }},
+      {{ SC_(0.9921875), SC_(1.004570300975031369541819081985749775618), SC_(0.004559888861804558865096599455042458443847) }},
+      {{ SC_(0.99609375), SC_(1.002269894807266338070518646683408822875), SC_(0.002267322487909119869224853055660925945503) }},
+      {{ SC_(0.998046875), SC_(1.001131154070271719475148653701632936175), SC_(0.001130514797538261731446855551493110644591) }},
+      {{ SC_(0.9990234375), SC_(1.000564631256105134179583334797007222469), SC_(0.0005644719118551233842574575277837954032273) }},
+      {{ SC_(0.99951171875), SC_(1.000282079501403060312266009234616105409), SC_(0.0002820397244605020216499093258679218227703) }},
+      {{ SC_(0.999755859375), SC_(1.000140980758729162527664293184201592009), SC_(0.0001409708218759223705137152436852900410971) }},
+      {{ SC_(0.9998779296875), SC_(1.000070475636328154358952919083132410835), SC_(0.7047315303717008615499045661742960649129e-4) }},
+      {{ SC_(0.99993896484375), SC_(1.000035234133024267207862236519063784064), SC_(0.3523351231678223923789189421658142521323e-4) }},
+      {{ SC_(0.999969482421875), SC_(1.00001761614530457531538182039987833925), SC_(0.1761599014210985977615986870219441253152e-4) }},
+      {{ SC_(0.9999847412109375), SC_(1.000008807842360071243230645907272632701), SC_(0.8807803571255486980463673710461571970668e-5) }},
+      {{ SC_(0.99999237060546875), SC_(1.000004403863608190592851185888812529877), SC_(0.4403853911211722516241836921789602523957e-5) }},
+      {{ SC_(0.999996185302734375), SC_(1.000002201917411285169225005738085227502), SC_(0.2201914987068584780432891571768087250967e-5) }},
+      {{ SC_(1.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(1.000003814697265625), SC_(0.9999977981113740328314320876032760067576), SC_(-0.2201891050127487637714181831108975522931e-5) }},
+      {{ SC_(1.00000762939453125), SC_(0.9999955962515330814147665236857616584616), SC_(-0.4403758163447332570221840098229107074209e-5) }},
+      {{ SC_(1.0000152587890625), SC_(0.9999911926182050168670695717547199129391), SC_(-0.8807420580197905194061157631901679899078e-5) }},
+      {{ SC_(1.000030517578125), SC_(0.99998238569695577840308912119540189507), SC_(-0.1761445817787918059338915122874759423839e-4) }},
+      {{ SC_(1.00006103515625), SC_(0.9999647732360171681023427372223702590454), SC_(-0.352273844598538899122262467277208094941e-4) }},
+      {{ SC_(1.0001220703125), SC_(0.9999295538398379138630109146622273453912), SC_(-0.7044864160936656733821449407577769386531e-4) }},
+      {{ SC_(1.000244140625), SC_(0.9998591371459403420587898072239427065107), SC_(-0.0001408727761632663509703058417841195184664) }},
+      {{ SC_(1.00048828125), SC_(0.9997183921173586652300583206642029951561), SC_(-0.0002816475415868068318239205463917072406589) }},
+      {{ SC_(1.0009765625), SC_(0.999437255220281084345213592031181905165), SC_(-0.0005629031799912046317021499216851450277288) }},
+      {{ SC_(1.001953125), SC_(0.998876391856702293840181665944397250951), SC_(-0.001124239864176365593088235002674045499535) }},
+      {{ SC_(1.00390625), SC_(0.9977602892435009045255150050890440579513), SC_(-0.002242222659961150144765481909230529929808) }},
+      {{ SC_(1.0078125), SC_(0.995550440714294209465143243929765941358), SC_(-0.004459488037952299086670078922352109198758) }},
+      {{ SC_(1.015625), SC_(0.9912190698420517341764818662191450397148), SC_(-0.008819709705733069204889229698627066380001) }},
+      {{ SC_(1.03125), SC_(0.98290109928362691478263486825456935047), SC_(-0.01724677500176806740289126202224623179737) }},
+      {{ SC_(1.0625), SC_(0.9675800675995248847599762987154317516646), SC_(-0.03295710029357781908319883575047418315706) }},
+      {{ SC_(1.125), SC_(0.9417426998497014880874037301518917030763), SC_(-0.06002318412603958293140584320743011427822) }},
+      {{ SC_(1.125), SC_(0.9417426998497014880874037301518917030763), SC_(-0.06002318412603958293140584320743011427822) }},
+      {{ SC_(1.25), SC_(0.9064024770554770779826712889669180007488), SC_(-0.09827183642181316146385380269663584022562) }},
+      {{ SC_(1.375), SC_(0.8889135691562253407424275640662446912078), SC_(-0.1177552707410787744513620333179885042465) }},
+      {{ SC_(1.5), SC_(0.8862269254527580136490837416705725913988), SC_(-0.1207822376352452223455184457816472122519) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 41> near_2 = { {
+      {{ SC_(1.5), SC_(0.8862269254527580136490837416705725913988), SC_(-0.1207822376352452223455184457816472122519) }},
+      {{ SC_(1.625), SC_(0.8965742800565979847725123371602644603951), SC_(-0.1091741337567953724659793453255625768435) }},
+      {{ SC_(1.75), SC_(0.9190625268488832338468237275221678951384), SC_(-0.08440112102048555595778603413139773174384) }},
+      {{ SC_(1.875), SC_(0.9534458127450348323458296607150313497544), SC_(-0.0476726853991882996439780371618622723197) }},
+      {{ SC_(1.875), SC_(0.9534458127450348323458296607150313497544), SC_(-0.0476726853991882996439780371618622723197) }},
+      {{ SC_(1.9375), SC_(0.9751659479875942232435276412768010580753), SC_(-0.02514761940298887101469636934303908362555) }},
+      {{ SC_(1.96875), SC_(0.9871877586486528896095822339303817741048), SC_(-0.01289502598016741062140421704372482102582) }},
+      {{ SC_(1.984375), SC_(0.9934942349545037046646241619249639248858), SC_(-0.006527019770560387562504065432973464109098) }},
+      {{ SC_(1.9921875), SC_(0.9967220954986639369672736204077361054958), SC_(-0.003283288599221334008087443035901123210745) }},
+      {{ SC_(1.99609375), SC_(0.9983547780306754539374306832198017571606), SC_(-0.001646576833227209223092930587911738897203) }},
+      {{ SC_(1.998046875), SC_(0.9991758197849782200230487539873719343464), SC_(-0.0008245200382650888261806366903737014930725) }},
+      {{ SC_(1.9990234375), SC_(0.9995875173583940940094860854466195201034), SC_(-0.0004125677359714894017106176239696704326377) }},
+      {{ SC_(1.99951171875), SC_(0.9997936605172715158492229105972945155141), SC_(-0.0002063607736483724433350542340289891606905) }},
+      {{ SC_(1.999755859375), SC_(0.9998968057145986134157190626438734177924), SC_(-0.0001031996102979920861817501746961436019694) }},
+      {{ SC_(1.9998779296875), SC_(0.9999483967208452041447977734631271456482), SC_(-0.5160461064981215542788033369454594603258e-4) }},
+      {{ SC_(1.99993896484375), SC_(0.9999741968262534527384281628962293685498), SC_(-0.2580350665416168648325053559023655125278e-4) }},
+      {{ SC_(1.999969482421875), SC_(0.9999870980295774847216527132886600812439), SC_(-0.1290205365365156795229453393309637521044e-4) }},
+      {{ SC_(1.9999847412109375), SC_(0.9999935489189005625751513729787156979985), SC_(-0.6451101907750591399976874019296260011728e-5) }},
+      {{ SC_(1.99999237060546875), SC_(0.9999967744354781276641509840822795646932), SC_(-0.3225569724016764801116581064181763189594e-5) }},
+      {{ SC_(1.999996185302734375), SC_(0.9999983872117460118412633921783404380531), SC_(-0.1612789554532533173009818453505550062943e-5) }},
+      {{ SC_(2.0), SC_(1.0), SC_(0.0) }},
+      {{ SC_(2.000003814697265625), SC_(1.00000161280024011931074434129623713986), SC_(0.161279893955840184299760314572495677042e-5) }},
+      {{ SC_(2.00000762939453125), SC_(1.000003225612466396944257297966490462185), SC_(0.322560726412023958566345675090317173141e-5) }},
+      {{ SC_(2.0000152587890625), SC_(1.000006451272877535864519325623917830418), SC_(0.6451252068164492211696167502987139983584e-5) }},
+      {{ SC_(2.000030517578125), SC_(1.000012902737534909133631207655399313341), SC_(0.1290265429530719797568036294024708700466e-4) }},
+      {{ SC_(2.00006103515625), SC_(1.000025806242196124228325546227327679105), SC_(0.2580590922078463500093254292124318294867e-4) }},
+      {{ SC_(2.0001220703125), SC_(1.000051615552953128452105520486771074315), SC_(0.5161422091631080428484087308642550680092e-4) }},
+      {{ SC_(2.000244140625), SC_(1.000103243380595112650112753954221989398), SC_(0.0001032380513640963581901732440393341809948) }},
+      {{ SC_(2.00048828125), SC_(1.000206535863509719265815185078589813025), SC_(0.0002065145379145443567131291462537026096587) }},
+      {{ SC_(2.0009765625), SC_(1.000413268164832140091644464679649856244), SC_(0.000413182793064254264258674986332041644883) }},
+      {{ SC_(2.001953125), SC_(1.000827322309547415507838270760694901832), SC_(0.000826980267085383846585814529167493000815) }},
+      {{ SC_(2.00390625), SC_(1.001657790373358329933817798077673136303), SC_(0.001656417755696172869171861186612377080916) }},
+      {{ SC_(2.0078125), SC_(1.003328178532374632976589675522967237775), SC_(0.003322652404102649860792821138784654479368) }},
+      {{ SC_(2.015625), SC_(1.00670686780833379252298939537881918096), SC_(0.006684476830232184945964816343819769497868) }},
+      {{ SC_(2.03125), SC_(1.013616758636240255869592207887524642672), SC_(0.01352488366498562096813694557452593229433) }},
+      {{ SC_(2.0625), SC_(1.028053821824495190057474817385146236144), SC_(0.02766752152285702349740729628994608012915) }},
+      {{ SC_(2.125), SC_(1.059460537330914174098329196420878165961), SC_(0.05775985153034387160738826626309159079026) }},
+      {{ SC_(2.125), SC_(1.059460537330914174098329196420878165961), SC_(0.05775985153034387160738826626309159079026) }},
+      {{ SC_(2.25), SC_(1.133003096319346347478339111208647500936), SC_(0.124871714892396594302441287613198663149) }},
+      {{ SC_(2.375), SC_(1.222256157589809843520837900591086450411), SC_(0.2006984603774558413588851802726110913487) }},
+      {{ SC_(2.5), SC_(1.329340388179137020473625612505858887098), SC_(0.2846828704729191596324946696827019243201) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 40> near_0 = { {
+      {{ SC_(-0.5), SC_(-3.544907701811032054596334966682290365595), SC_(1.265512123484645396488945797134705923899) }},
+      {{ SC_(-0.375), SC_(-3.825383594908151401696052638550461697686), SC_(1.341658748500666418041408813274783487436) }},
+      {{ SC_(-0.25), SC_(-4.901666809860710580516393213451562107405), SC_(1.589575312551185990315897214778782835911) }},
+      {{ SC_(-0.125), SC_(-8.717218859383175610019014040823143769183), SC_(2.165300248905170251754061948144017406496) }},
+      {{ SC_(-0.125), SC_(-8.717218859383175610019014040823143769183), SC_(2.165300248905170251754061948144017406496) }},
+      {{ SC_(-0.0625), SC_(-16.64283217898827474335620507779073805782), SC_(2.811979623974363538327156032173660116805) }},
+      {{ SC_(-0.03125), SC_(-32.60904080181356641807136153370035279623), SC_(3.484589575134139437621752672995683649279) }},
+      {{ SC_(-0.015625), SC_(-64.59289502180392340168731059118495613226), SC_(4.168104420557250637548438174776914213865) }},
+      {{ SC_(-0.0078125), SC_(-128.5849985248040153013528424941759712791), SC_(4.856590152781421724785721449662278434972) }},
+      {{ SC_(-0.00390625), SC_(-256.581093070660182546052773550952658656), SC_(5.54744476696747159520708182472107347055) }},
+      {{ SC_(-0.001953125), SC_(-512.5791508839791203712761106952360633215), SC_(6.239455139837046046486535948675082223324) }},
+      {{ SC_(-0.0009765625), SC_(-1024.578182406251657399893334832135395808), SC_(6.932036277511308217556578672109549476158) }},
+      {{ SC_(-0.00048828125), SC_(-2048.577698818873467519520786912493783878), SC_(7.624901025883858905611203245365810170653) }},
+      {{ SC_(-0.000244140625), SC_(-4096.57745718775464971331294488248972087), SC_(8.317907137541219635377299172741804106947) }},
+      {{ SC_(-0.0001220703125), SC_(-8192.577336412800240508542313129020709561), SC_(9.010983820432326192510172569412912814588) }},
+      {{ SC_(-0.6103515625e-4), SC_(-16384.5772760354695939336148831283410381), SC_(9.704095761351551114080487592308688534482) }},
+      {{ SC_(-0.30517578125e-4), SC_(-32768.57724584934032393443149086321342054), SC_(10.39722532438932175111825798174135071555) }},
+      {{ SC_(-0.152587890625e-4), SC_(-65536.57723075690962899636361017901925666), SC_(11.09036369676269620616269440700453555078) }},
+      {{ SC_(-0.762939453125e-5), SC_(-131072.577223210852757386190636818435916), SC_(11.78350647337298147181546230662592344689) }},
+      {{ SC_(-0.3814697265625e-5), SC_(-262144.5772194378639394013199042046138782), SC_(12.47665145199400263809495861913874999345) }},
+      {{ SC_(0.3814697265625e-5), SC_(262143.4227881080344625629331726731855155), SC_(12.47664704818796544202254047206534711638) }},
+      {{ SC_(0.762939453125e-5), SC_(131071.4227918809440471962777925401520979), SC_(11.78349766576090681276037584294890342818) }},
+      {{ SC_(0.152587890625e-4), SC_(65535.42279942668398540027145451732421438), SC_(11.09034608153854475277051988217319318753) }},
+      {{ SC_(0.30517578125e-4), SC_(32767.42281451784694671242432333092929765), SC_(10.39719009394100176207788843272141977354) }},
+      {{ SC_(0.6103515625e-4), SC_(16383.4228446989052821887834066513143242), SC_(9.704025300454774477951337474167744232248) }},
+      {{ SC_(0.0001220703125), SC_(8191.422905055952190365785412912966413445), SC_(9.010842898637679655856679364462219607288) }},
+      {{ SC_(0.000244140625), SC_(4095.423025749771641072803050389269325868), SC_(8.317625293943180446655815151656334697388) }},
+      {{ SC_(0.00048828125), SC_(2047.42326705635054639115944072028773408), SC_(7.62433733861781159675772941549355054159) }},
+      {{ SC_(0.0009765625), SC_(1023.423749345567830369498718239930270889), SC_(6.930908902419461889540619064660080535727) }},
+      {{ SC_(0.001953125), SC_(511.4247126306315744461730129635313924869), SC_(6.23720038517533141916200085812091506718) }},
+      {{ SC_(0.00390625), SC_(255.4266340463362315585318413027952788355), SC_(5.542935221819601325193091489756182014674) }},
+      {{ SC_(0.0078125), SC_(127.4304564114296588115383352230100404938), SC_(4.84757077588166486683395477128488386733) }},
+      {{ SC_(0.015625), SC_(63.43802046989131098729483943802528254174), SC_(4.150063373653938787298503499050432342073) }},
+      {{ SC_(0.03125), SC_(31.45283517707606127304431578414621921504), SC_(3.44848912779795847968326934526863660858) }},
+      {{ SC_(0.0625), SC_(15.48128108159239815615962077944690802663), SC_(2.739631621946203418585729650082232089145) }},
+      {{ SC_(0.125), SC_(7.53394159879761190469922984121513362461), SC_(2.019418357553796345320290521167099589948) }},
+      {{ SC_(0.125), SC_(7.53394159879761190469922984121513362461), SC_(2.019418357553796345320290521167099589948) }},
+      {{ SC_(0.25), SC_(3.625609908221908311930685155867672002995), SC_(1.288022524698077457370610440219717295925) }},
+      {{ SC_(0.375), SC_(2.370436184416600908646473504176652509887), SC_(0.8630739822706474624050890941340154953325) }},
+      {{ SC_(0.5), SC_(1.772453850905516027298167483341145182798), SC_(0.5723649429247000870717136756765293558236) }}
+   } }; 
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 40> near_m10 = { {
+      {{ SC_(-10.5), SC_(-0.2640121820547716316246385325311240439682e-6), SC_(-15.14727059071784114610117639552631963436) }},
+      {{ SC_(-10.375), SC_(-0.3853824777091100016167565620752110328498e-6), SC_(-14.76902954720701012688042720516103787762) }},
+      {{ SC_(-10.25), SC_(-0.67808180432946731304891004492754985848e-6), SC_(-14.20399790093109065161116876070387206737) }},
+      {{ SC_(-10.125), SC_(-0.1684831262052517456216882327889895477394e-5), SC_(-13.293845140389538484236785089823191703) }},
+      {{ SC_(-10.125), SC_(-0.1684831262052517456216882327889895477394e-5), SC_(-13.293845140389538484236785089823191703) }},
+      {{ SC_(-10.0625), SC_(-0.3830328107020316635889325503807551568979e-5), SC_(-12.47256009081165579039929355805785844157) }},
+      {{ SC_(-10.03125), SC_(-0.820629952953019778657392524711140975814e-5), SC_(-11.71060846332720387792243958913415617938) }},
+      {{ SC_(-10.015625), SC_(-0.1700699874643038383461557487368349913225e-4), SC_(-10.98188560766303889037266091827081352261) }},
+      {{ SC_(-10.0078125), SC_(-0.3463458256516313677243695342138690766685e-4), SC_(-10.27065787896126424410583159193311350064) }},
+      {{ SC_(-10.00390625), SC_(-0.6990332874758209033426446699035926999779e-4), SC_(-9.568397288290682386853008683681967849367) }},
+      {{ SC_(-10.001953125), SC_(-0.0001404477363900451708521851118608466504012), SC_(-8.870675121382310094805966387146254501189) }},
+      {{ SC_(-10.0009765625), SC_(-0.000281540041401883411812666338203440274148), SC_(-8.175235877509399161097817609681419866606) }},
+      {{ SC_(-10.00048828125), SC_(-0.000563726404385624063397951573975953521758), SC_(-7.480941522771659111292091779019988346536) }},
+      {{ SC_(-10.000244140625), SC_(-0.001128100008866690679009902807702968873353), SC_(-6.787220469493554911614571257238006425123) }},
+      {{ SC_(-10.0001220703125), SC_(-0.002256847657595184957233851276605048793085), SC_(-6.093786281167310238545736320487058532071) }},
+      {{ SC_(-10.00006103515625), SC_(-0.004514343175062893955072428860155326550553), SC_(-5.400495578872419834979145899538225218653) }},
+      {{ SC_(-10.000030517578125), SC_(-0.009029334320035575647839997474459714791226), SC_(-4.707276632982054173483611347195057396393) }},
+      {{ SC_(-10.0000152587890625), SC_(-0.01805931666500754906434806474181437991942), SC_(-4.01409356864116185854622778461065066607) }},
+      {{ SC_(-10.00000762939453125), SC_(-0.03611928138246679574769960801636554264536), SC_(-3.320928445911808853642423587159533484381) }},
+      {{ SC_(-10.000003814697265625), SC_(-0.07223921083114343778444263107651750106133), SC_(-2.627772294197426150094657771000510514181) }},
+      {{ SC_(-9.999996185302734375), SC_(0.07224050699108014022628046448675851453374), SC_(-2.627754351749084271591553302449947161499) }},
+      {{ SC_(-9.99999237060546875), SC_(0.03612057754240364069840471083444586728855), SC_(-3.320892561015125097640948165422843317137) }},
+      {{ SC_(-9.9999847412109375), SC_(0.01806061282494496405052242015364798732676), SC_(-4.014021798847794354581145064057511795502) }},
+      {{ SC_(-9.999969482421875), SC_(0.009030630479975270775894162659645956519741), SC_(-4.707133093395319229856390889602684453056) }},
+      {{ SC_(-9.99993896484375), SC_(0.004515639335011709650690623512369371764253), SC_(-5.400208499698950462148264857327856480671) }},
+      {{ SC_(-9.9998779296875), SC_(0.002258143817580482923824809786660261248415), SC_(-6.093212122820375608272453375481778776963) }},
+      {{ SC_(-9.999755859375), SC_(0.00112939616899791774095825334343857186485), SC_(-6.786072152799718574175843462405206935614) }},
+      {{ SC_(-9.99951171875), SC_(0.0005650225651005676902373042742306456894427), SC_(-7.478644889384249821277500306107773873963) }},
+      {{ SC_(-9.9990234375), SC_(0.000282836204451696233602080064105049188933), SC_(-8.170642610736687659976646968506313698216) }},
+      {{ SC_(-9.998046875), SC_(0.0001417439087793817388175538505551912206884), SC_(-8.861488587853743723990903404527520549863) }},
+      {{ SC_(-9.99609375), SC_(0.7119953849576511774290270246050426493188e-4), SC_(-9.550024221368402701862865053477154735263) }},
+      {{ SC_(-9.9921875), SC_(0.3593094176075641243360143967272818899195e-4), SC_(-10.23391174619552949434163600960412224542) }},
+      {{ SC_(-9.984375), SC_(0.1830395592410737084371847753712605958898e-4), SC_(-10.90839335076217169965796414369624068766) }},
+      {{ SC_(-9.96875), SC_(0.9505651717966543211040666528035462899479e-5), SC_(-11.56362401857045907442600014919001566007) }},
+      {{ SC_(-9.9375), SC_(0.5139309871979484321498376816774659227047e-5), SC_(-12.17859175366355833461560769108992933228) }},
+      {{ SC_(-9.875), SC_(0.3033137834984411836791652786842133042328e-5), SC_(-12.70591288519170921633064985576606088605) }},
+      {{ SC_(-9.875), SC_(0.3033137834984411836791652786842133042328e-5), SC_(-12.70591288519170921633064985576606088605) }},
+      {{ SC_(-9.75), SC_(0.2197547155462853887868709703817446704567e-5), SC_(-13.02816874893114553892881831326149507953) }},
+      {{ SC_(-9.625), SC_(0.2248214426276410648574460028763198846825e-5), SC_(-13.00537424512744790544056216033820032846) }},
+      {{ SC_(-9.5), SC_(0.2772127911575102132058704591576802461667e-5), SC_(-12.79589533355436345901781053661879076815) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 40> near_m55 = { {
+      {{ SC_(-55.5), SC_(0.3313939247684676728377268347296671102738e-73), SC_(-169.1931592947433577934436950412776436064) }},
+      {{ SC_(-55.375), SC_(0.5931885913251829148011431845907438457576e-73), SC_(-168.6109546898941580979033836431457031234) }},
+      {{ SC_(-55.25), SC_(0.128134265213561204650151776242601279892e-72), SC_(-167.8408033134133338381597995376176917559) }},
+      {{ SC_(-55.125), SC_(0.3913191103476296924523858848738104144085e-72), SC_(-166.7243586084319013982262850893209212539) }},
+      {{ SC_(-55.125), SC_(0.3913191103476296924523858848738104144085e-72), SC_(-166.7243586084319013982262850893209212539) }},
+      {{ SC_(-55.0625), SC_(0.986732607487198018754292852511389106856e-72), SC_(-165.7994828862238820223463651561184383051) }},
+      {{ SC_(-55.03125), SC_(0.2226660343675615375290464186909601183619e-71), SC_(-164.9856238363615162450940197678605306484) }},
+      {{ SC_(-55.015625), SC_(0.4736069454740001055763353712089973133951e-71), SC_(-164.2309191328226253115354307486462442346) }},
+      {{ SC_(-55.0078125), SC_(0.977114118293834733521912343859491871413e-71), SC_(-163.5066934315334134525852432438180103697) }},
+      {{ SC_(-55.00390625), SC_(0.1984981336813056540008261636773673389822e-70), SC_(-162.7979320905915813518737104001603528406) }},
+      {{ SC_(-55.001953125), SC_(0.4001152702583918680236220298606474660766e-70), SC_(-162.0969591073259992663458061954608696748) }},
+      {{ SC_(-55.0009765625), SC_(0.8033716579133006533597549451686567408424e-70), SC_(-161.399894344940666691934457343256688548) }},
+      {{ SC_(-55.00048828125), SC_(0.1609895558223411179719291838965309144853e-69), SC_(-160.7047872033597077904481004857770657217) }},
+      {{ SC_(-55.000244140625), SC_(0.3222948938373906907742658942729222148632e-69), SC_(-160.0106597497627978468127607946271352327) }},
+      {{ SC_(-55.0001220703125), SC_(0.6449058492709206027088103024110200975353e-69), SC_(-159.3170223595527956784727838139907674684) }},
+      {{ SC_(-55.00006103515625), SC_(0.1290127899946570906748117205135768082314e-68), SC_(-158.6236300558849309281660984198839415596) }},
+      {{ SC_(-55.000030517578125), SC_(0.2580572071228903781598785159467838581806e-68), SC_(-157.9303603092003033255947568117785799832) }},
+      {{ SC_(-55.0000152587890625), SC_(0.5161460448765772204325064962419091742529e-68), SC_(-157.2371518444353362397006108889220356827) }},
+      {{ SC_(-55.00000762939453125), SC_(0.1032323722132728230665906965174285853426e-67), SC_(-156.5439740214872098856520824742320518588) }},
+      {{ SC_(-55.000003814697265625), SC_(0.2064679077519460715554797358664728667652e-67), SC_(-155.8508115196617565149201605014267824236) }},
+      {{ SC_(-54.999996185302734375), SC_(-0.2064742345776389872444192676691131506575e-67), SC_(-155.8507808769879053144034254273344043224) }},
+      {{ SC_(-54.99999237060546875), SC_(-0.1032386990389669331883069223703195417382e-67), SC_(-156.543912736139507484654652677755511734) }},
+      {{ SC_(-54.9999847412109375), SC_(-0.5162093131335660989607568848213731056733e-68), SC_(-157.2370292737399314379940741096346901828) }},
+      {{ SC_(-54.999969482421875), SC_(-0.258120475380070365932807313377307528986e-68), SC_(-157.9301151678094937244882657625299630878) }},
+      {{ SC_(-54.99993896484375), SC_(-0.129076058252601515431668371755594450098e-68), SC_(-158.6231397731033117444057763960015760334) }},
+      {{ SC_(-54.9998779296875), SC_(-0.6455385318809423304687659289501264852653e-69), SC_(-159.3160417939895574585734203633457962732) }},
+      {{ SC_(-54.999755859375), SC_(-0.3229275765697223526481784197301709161285e-69), SC_(-160.0086986186363225879842786767213113941) }},
+      {{ SC_(-54.99951171875), SC_(-0.1616222390439127298761439614470246404862e-69), SC_(-160.70086494110676672055309472267163668) }},
+      {{ SC_(-54.9990234375), SC_(-0.8096985096986489455731873769112931053315e-70), SC_(-161.3920498204348601342401201789602276343) }},
+      {{ SC_(-54.998046875), SC_(-0.4064422003228156070372890110113661523823e-70), SC_(-162.0812700583149908077227373306519861132) }},
+      {{ SC_(-54.99609375), SC_(-0.2048253768707794232109022149495560465895e-70), SC_(-162.7665539925744016887591545718340828031) }},
+      {{ SC_(-54.9921875), SC_(-0.1040399076590405899054222579682253865197e-70), SC_(-163.4439372355377521596244089121137210432) }},
+      {{ SC_(-54.984375), SC_(-0.5369420317824801296090020359957584504561e-71), SC_(-164.1054067411408869986598886088213583004) }},
+      {{ SC_(-54.96875), SC_(-0.2862019916619447982849309567142574291595e-71), SC_(-164.7345990554747140245090340482576614581) }},
+      {{ SC_(-54.9375), SC_(-0.1630184748946170270451320476784206632433e-71), SC_(-165.2974333442636798880161449262335724888) }},
+      {{ SC_(-54.875), SC_(-0.1068084665867092473960298264876009169786e-71), SC_(-165.7202596830189416811721153572453840111) }},
+      {{ SC_(-54.875), SC_(-0.1068084665867092473960298264876009169786e-71), SC_(-165.7202596830189416811721153572453840111) }},
+      {{ SC_(-54.75), SC_(-0.9545836185625177195542164628822374598687e-72), SC_(-165.8326067306542059861208673933569437798) }},
+      {{ SC_(-54.625), SC_(-0.1206186475649396145903288691554707530168e-71), SC_(-165.5986629859610336595561650158366255984) }},
+      {{ SC_(-54.5), SC_(-0.183923628246499558424938393274965246202e-71), SC_(-165.1767762739909689670975862547818473059) }}
+   } };
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 141> gammap1m1_data = { {
+      {{ SC_(-0.4952165186405181884765625), SC_(0.7559827693907095754807809442951050489732) }}, 
+      {{ SC_(-0.4642883241176605224609375), SC_(0.6574328869566978138139138799311066062094) }}, 
+      {{ SC_(-0.4024595916271209716796875), SC_(0.4948624198600628575485791492257182331098) }}, 
+      {{ SC_(-0.3901382386684417724609375), SC_(0.466994695902624837582482771934607569504) }}, 
+      {{ SC_(-0.3875354826450347900390625), SC_(0.4612760821854033810460931227828015343156) }}, 
+      {{ SC_(-0.373013198375701904296875), SC_(0.4303940312894863907637421435297095229576) }}, 
+      {{ SC_(-0.364522993564605712890625), SC_(0.4131121158463471061555369932726425070959) }}, 
+      {{ SC_(-0.35811364650726318359375), SC_(0.4004260060282522370607617707987066040664) }}, 
+      {{ SC_(-0.342386901378631591796875), SC_(0.3705491389143732767395411311340356537958) }}, 
+      {{ SC_(-0.311618030071258544921875), SC_(0.3168394199636867612664810682360364987851) }}, 
+      {{ SC_(-0.2880756855010986328125), SC_(0.2795634828731819295069040561405863199118) }}, 
+      {{ SC_(-0.27896595001220703125), SC_(0.2659494215075372040950689557832739194382) }}, 
+      {{ SC_(-0.221501767635345458984375), SC_(0.1892800230490205183297725744929501015544) }}, 
+      {{ SC_(-0.202970564365386962890625), SC_(0.1675837744862475402389911769714649852773) }}, 
+      {{ SC_(-0.191832959651947021484375), SC_(0.1551782986717939911912971517092154248689) }}, 
+      {{ SC_(-0.1387059986591339111328125), SC_(0.1019358076187795495751950704491293377337) }}, 
+      {{ SC_(-0.1012614667415618896484375), SC_(0.06964849559574637322009665674759450635903) }}, 
+      {{ SC_(-0.0782387256622314453125), SC_(0.05168944861403749320872745190411594799105) }}, 
+      {{ SC_(-0.0146243572235107421875), SC_(0.008655823217365420051945171708362679166147) }}, 
+      {{ SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.8263215150028947028222714725368343067077e-30) }}, 
+      {{ SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.1034062776504410791508686126702507453693e-29) }}, 
+      {{ SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.3471155206456177563387123499681270341265e-29) }}, 
+      {{ SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.6684464764687909153739175517973613571261e-29) }}, 
+      {{ SC_(0.1422457400834001098175711728787848259007e-28), SC_(-0.8210646944165041873250036406993552111264e-29) }}, 
+      {{ SC_(0.4970121018327539153628705477876439795096e-28), SC_(-0.2868831708235014101261168518349749234889e-28) }}, 
+      {{ SC_(0.9660079415057497591758174164417478444323e-28), SC_(-0.5575949162564024099347963251548294827165e-28) }}, 
+      {{ SC_(0.1232929313253182131376331095427391968754e-27), SC_(-0.7116661133260258147780879126862696392479e-28) }}, 
+      {{ SC_(0.3296523285617759312781860549364832953326e-27), SC_(-0.1902804880171240659658521971091414147824e-27) }}, 
+      {{ SC_(0.528364435768055252017009628713605422886e-27), SC_(-0.3049802291021812635024061181080113889506e-27) }}, 
+      {{ SC_(0.886586057273120049620324386849842094685e-27), SC_(-0.5117513605413324831805933701656815521236e-27) }}, 
+      {{ SC_(0.2499669674831043259218157022821422146034e-26), SC_(-0.1442848493391799075204112945868205575921e-26) }}, 
+      {{ SC_(0.4131050397232622964314362671638736040881e-26), SC_(-0.2384507001780369908735157814349257650306e-26) }}, 
+      {{ SC_(0.7679738097881433551381658732998641759182e-26), SC_(-0.4432865132438264916724504940164877771849e-26) }}, 
+      {{ SC_(0.199929739820949207249437007767740538737e-25), SC_(-0.1154025777043396680338534232061371984153e-25) }}, 
+      {{ SC_(0.5151477415246978459754129800826163591626e-25), SC_(-0.2973513461467014566158126478567428007026e-25) }}, 
+      {{ SC_(0.101200734533556026342258477595279955025e-24), SC_(-0.5841464927231005972586520769367701801272e-25) }}, 
+      {{ SC_(0.2064292695896540981798546456623054911033e-24), SC_(-0.1191542081013299677372796818685763621433e-24) }}, 
+      {{ SC_(0.4063294332896333395257434433879773416284e-24), SC_(-0.2345397140053387487331153502526122099635e-24) }}, 
+      {{ SC_(0.8138195767936862452966745688936976428456e-24), SC_(-0.4697494081288516881709792363579127898501e-24) }}, 
+      {{ SC_(0.9575550627132253801929510132578249716542e-24), SC_(-0.5527157822038433842858279196451987644551e-24) }}, 
+      {{ SC_(0.2855160956298500804375620841706273850616e-23), SC_(-0.1648043629790735548426012109835882111878e-23) }}, 
+      {{ SC_(0.65201444297915461398563707001320281266e-23), SC_(-0.3763529502296153146061378052316774680657e-23) }}, 
+      {{ SC_(0.1310988374636350038320977491775043421995e-22), SC_(-0.7567230263439006455136418784154172627278e-23) }}, 
+      {{ SC_(0.2590288837798696209228010176465529547374e-22), SC_(-0.1495155293796993236481538654450094828034e-22) }}, 
+      {{ SC_(0.2937779542193655202274099291941187976629e-22), SC_(-0.1695732371781431498672748630538267989951e-22) }}, 
+      {{ SC_(0.7863513178004503049754083414326234074965e-22), SC_(-0.4538942987503834952636621253829968594981e-22) }}, 
+      {{ SC_(0.1903818607087388763706780167350761726053e-21), SC_(-0.109891392314185724619218859435147914583e-21) }}, 
+      {{ SC_(0.3812242142377350870566942975497647799754e-21), SC_(-0.2200485882977986685255989911406099731464e-21) }}, 
+      {{ SC_(0.5493133580141330277178034419485741501887e-21), SC_(-0.3170722751854215599980143372792630827825e-21) }}, 
+      {{ SC_(0.9672153634284186955666772243312215295852e-21), SC_(-0.5582918591043124472447977064584587087382e-21) }}, 
+      {{ SC_(0.1702169477623814384559878647986894129041e-20), SC_(-0.9825188868017248805929057833465618943933e-21) }}, 
+      {{ SC_(0.4817114569977399785676754474621208412799e-20), SC_(-0.2780513989416366360400948471972900830387e-20) }}, 
+      {{ SC_(0.7538352992756463183303278501219690799218e-20), SC_(-0.4351255434976382024407146526549699565796e-20) }}, 
+      {{ SC_(0.2596305715949999708394617609422128090557e-19), SC_(-0.1498628330119729391523576917959646915902e-19) }}, 
+      {{ SC_(0.4444587480324321591032923385589104015025e-19), SC_(-0.2565485517668431887674899070788880246089e-19) }}, 
+      {{ SC_(0.9715574921498573937069095571295029856174e-19), SC_(-0.5607982038213457280620337061143959968827e-19) }}, 
+      {{ SC_(0.2036598542733453787268262970278076551267e-18), SC_(-0.1175556581981383412558675525031327289634e-18) }}, 
+      {{ SC_(0.4248971931658660264162106698360155121463e-18), SC_(-0.2452573158680304024128136998709195441154e-18) }}, 
+      {{ SC_(0.6521097487613458963613731825259556273977e-18), SC_(-0.3764079622200518159115220576707372289309e-18) }}, 
+      {{ SC_(0.1436126164096190058281493628911107407475e-17), SC_(-0.8289545186912702312307596583951073368993e-18) }}, 
+      {{ SC_(0.3118908901459261162419055180006211003274e-17), SC_(-0.1800283075323116855097674712567357424907e-17) }}, 
+      {{ SC_(0.3593346613595175715618300349429858897565e-17), SC_(-0.2074135954788010816821644850649799519675e-17) }}, 
+      {{ SC_(0.9445874854124767215374919304693435151421e-17), SC_(-0.5452306934500297136990208691880314661067e-17) }}, 
+      {{ SC_(0.2566182432094081539023303073498993853718e-16), SC_(-0.1481240698799817909729203530750507585117e-16) }}, 
+      {{ SC_(0.3363765695149349330660137891158001366421e-16), SC_(-0.1941618252298598450712101459398214835952e-16) }}, 
+      {{ SC_(0.1073581901339262605326457800103412409953e-15), SC_(-0.6196882910077942026172170471644452240087e-16) }}, 
+      {{ SC_(0.186668406231853462907965823802669547149e-15), SC_(-0.1077479282192287023344331697438668504475e-15) }}, 
+      {{ SC_(0.3727540802657755688795382376099496468669e-15), SC_(-0.2151594942853688563255514533064804448857e-15) }}, 
+      {{ SC_(0.6211646767866855090717281839829411183018e-15), SC_(-0.3585459819247720488263755672803206966864e-15) }}, 
+      {{ SC_(0.1561186859754253464932505224282976996619e-14), SC_(-0.9011415112885851355703262394946230181441e-15) }}, 
+      {{ SC_(0.3092010764722992466335682593125966377556e-14), SC_(-0.1784757049442269726369719145429686196432e-14) }}, 
+      {{ SC_(0.6192850577371690132255643845837767003104e-14), SC_(-0.3574610363653403859138387348420733335946e-14) }}, 
+      {{ SC_(0.1047879028014987723427253740737796761096e-13), SC_(-0.6048521898920322580919537460083385958307e-14) }}, 
+      {{ SC_(0.1978473638988408750405412206418986897916e-13), SC_(-0.1142005977018810929368580238123776497134e-13) }}, 
+      {{ SC_(0.4041816252346730475863978426787070930004e-13), SC_(-0.2332999655507978182935820166341591465938e-13) }}, 
+      {{ SC_(0.9410302262901834580155480125540634617209e-13), SC_(-0.5431773877604405885692410233977439758357e-13) }}, 
+      {{ SC_(0.1334530223958893535574077304772799834609e-12), SC_(-0.7703117505534481432167486795079037095016e-13) }}, 
+      {{ SC_(0.266297021326439287136622624529991298914e-12), SC_(-0.1537108122261681912683838906901126667239e-12) }}, 
+      {{ SC_(0.5920415525016708979677559909760020673275e-12), SC_(-0.3417356583762410657228951913532598329392e-12) }}, 
+      {{ SC_(0.155163989296047688526414276566356420517e-11), SC_(-0.8956308525005437046951559037146364454014e-12) }}, 
+      {{ SC_(0.326923297461201300961874949280172586441e-11), SC_(-0.1887052485148118271327652592003779278951e-11) }}, 
+      {{ SC_(0.3753785910581841633870681107509881258011e-11), SC_(-0.2166744030260566997416579153839836535144e-11) }}, 
+      {{ SC_(0.9579165585749116473834874341264367103577e-11), SC_(-0.5529244432689301568675461523208969657637e-11) }}, 
+      {{ SC_(0.1858167439361402273334533674642443656921e-10), SC_(-0.1072563353975220567027440177997243696045e-10) }}, 
+      {{ SC_(0.5449485307451595872407779097557067871094e-10), SC_(-0.3145528284818088265306644806429650505592e-10) }}, 
+      {{ SC_(0.6089519166696533147842274047434329986572e-10), SC_(-0.3514965854368603547185748339618264962e-10) }}, 
+      {{ SC_(0.1337744776064297980155970435589551925659e-9), SC_(-0.7721672402075083279577276691763777798079e-10) }}, 
+      {{ SC_(0.2554458866654840676346793770790100097656e-9), SC_(-0.1474473672534405166880467009401481006846e-9) }}, 
+      {{ SC_(0.9285605062636648199259070679545402526855e-9), SC_(-0.5359796691714968347006887450221011388011e-9) }}, 
+      {{ SC_(0.1698227447555211711005540564656257629395e-8), SC_(-0.980243482442200345890191122898173278899e-9) }}, 
+      {{ SC_(0.339355921141759608872234821319580078125e-8), SC_(-0.1958815525210918994679361737180445367869e-8) }}, 
+      {{ SC_(0.6313728651008432279922999441623687744141e-8), SC_(-0.3644383041872783822741274272616254061398e-8) }}, 
+      {{ SC_(0.8383264749056706932606175541877746582031e-8), SC_(-0.4838951666662356901644608730186546413827e-8) }}, 
+      {{ SC_(0.1962631124285962869180366396903991699219e-7), SC_(-0.1132861391263510827635198807950784606364e-7) }}, 
+      {{ SC_(0.5256384838503436185419559478759765625e-7), SC_(-0.3034067396263077516870264512967026960836e-7) }}, 
+      {{ SC_(0.116242290459922514855861663818359375e-6), SC_(-0.6709685761311096545819618213723265238395e-7) }}, 
+      {{ SC_(0.1776920584006802528165280818939208984375e-6), SC_(-0.1025666084085592538025029643343934584008e-6) }}, 
+      {{ SC_(0.246631174150024889968335628509521484375e-6), SC_(-0.142359317011220184093241753035251343271e-6) }}, 
+      {{ SC_(0.7932688959044753573834896087646484375e-6), SC_(-0.4578866108069128537168607745624614794722e-6) }}, 
+      {{ SC_(0.1372093493046122603118419647216796875e-5), SC_(-0.791991995861101927407880386227298092424e-6) }}, 
+      {{ SC_(0.214747751670074649155139923095703125e-5), SC_(-0.1239553101482841564081262476002391564028e-5) }}, 
+      {{ SC_(0.527022712049074470996856689453125e-5), SC_(-0.3042030180348038757030022358659056016131e-5) }}, 
+      {{ SC_(0.9233162927557714283466339111328125e-5), SC_(-0.5329441960781667799420300524501852822265e-5) }}, 
+      {{ SC_(0.269396477960981428623199462890625e-4), SC_(-0.1554926893050895772896453957379474045684e-4) }}, 
+      {{ SC_(0.3208058114978484809398651123046875e-4), SC_(-0.1851639610824637542072201121307897455015e-4) }}, 
+      {{ SC_(0.00010957030463032424449920654296875), SC_(-0.6323382317252073303439803607481865268353e-4) }}, 
+      {{ SC_(0.000126518702018074691295623779296875), SC_(-0.7301274674392621832822527575061291232133e-4) }}, 
+      {{ SC_(0.00028976381872780621051788330078125), SC_(-0.0001671731931845284705043154051351730706298) }}, 
+      {{ SC_(0.000687857042066752910614013671875), SC_(-0.0003965741858362509385654340724912705823236) }}, 
+      {{ SC_(0.00145484809763729572296142578125), SC_(-0.0008376704829300962209037156359622989708524) }}, 
+      {{ SC_(0.00366270542144775390625), SC_(-0.002100946766981816464155333982357752904999) }}, 
+      {{ SC_(0.046881496906280517578125), SC_(-0.02497588947336944943591732868959193811385) }}, 
+      {{ SC_(0.04722058773040771484375), SC_(-0.02514197077286474061941968460870171431946) }}, 
+      {{ SC_(0.1323592662811279296875), SC_(-0.06091072639354085529687250076608036167983) }}, 
+      {{ SC_(0.139763355255126953125), SC_(-0.06350237679012056526225278765134891026831) }}, 
+      {{ SC_(0.155740678310394287109375), SC_(-0.06883441875617310404657299803607175885806) }}, 
+      {{ SC_(0.17873513698577880859375), SC_(-0.07590347542832235360535014668688262042636) }}, 
+      {{ SC_(0.1813595294952392578125), SC_(-0.07666619009216679212771233211297326572625) }}, 
+      {{ SC_(0.225838959217071533203125), SC_(-0.08828121583826801836069461556215827733624) }}, 
+      {{ SC_(0.292207300662994384765625), SC_(-0.1013142147509511845410398110728244632327) }}, 
+      {{ SC_(0.297928631305694580078125), SC_(-0.1022125377703106514269725748156778633457) }}, 
+      {{ SC_(0.29810583591461181640625), SC_(-0.1022398124529602122123098193784073635017) }}, 
+      {{ SC_(0.30028045177459716796875), SC_(-0.1025718475377491669113360177547935208456) }}, 
+      {{ SC_(0.314723670482635498046875), SC_(-0.1046527148786850527567817015912636515928) }}, 
+      {{ SC_(0.335008561611175537109375), SC_(-0.1072166100764849221291653907100739024018) }}, 
+      {{ SC_(0.34912931919097900390625), SC_(-0.1087597918806720999316678995289547437333) }}, 
+      {{ SC_(0.378430664539337158203125), SC_(-0.1113472284261879798379642546535625292991) }}, 
+      {{ SC_(0.405791938304901123046875), SC_(-0.1130363541503776146472634379575969350382) }}, 
+      {{ SC_(0.4133758544921875), SC_(-0.1133834162443148976453781329005327033269) }}, 
+      {{ SC_(0.415735542774200439453125), SC_(-0.1134808289122708542397946052703635909288) }}, 
+      {{ SC_(0.43399322032928466796875), SC_(-0.1140666251072475325460987089801937766512) }}, 
+      {{ SC_(0.457166969776153564453125), SC_(-0.1143882508090213200510081514983929178479) }}, 
+      {{ SC_(0.457506835460662841796875), SC_(-0.1143895043011533114503086722896019260013) }}, 
+      {{ SC_(0.4594924449920654296875), SC_(-0.1143948425572877686750521180317509748309) }}, 
+      {{ SC_(0.464888513088226318359375), SC_(-0.1143922664386800836288584840918904877633) }}, 
+      {{ SC_(0.467694938182830810546875), SC_(-0.1143810844126184461958335384166685988825) }}, 
+      {{ SC_(0.468867778778076171875), SC_(-0.114374421494214380845931849419009841586) }}, 
+      {{ SC_(0.470592796802520751953125), SC_(-0.1143624939837521390307936225841266176506) }}, 
+      {{ SC_(0.481109678745269775390625), SC_(-0.1142351916017016455044428590981136786372) }}, 
+      {{ SC_(0.492881298065185546875), SC_(-0.1139822218283491394475161618135268104636) }}, 
+      {{ SC_(0.496461331844329833984375), SC_(-0.1138823102618022293565213085801050842487) }}
+   } };
+
diff --git a/src/boost/libs/math/test/test_gamma_dist.cpp b/src/boost/libs/math/test/test_gamma_dist.cpp
new file mode 100644
index 000000000..682535c28
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_dist.cpp
@@ -0,0 +1,274 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_gamma_dist.cpp
+
+// http://en.wikipedia.org/wiki/Gamma_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda366b.htm
+// Also:
+// Weisstein, Eric W. "Gamma Distribution."
+// From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/GammaDistribution.html
+
+#include <pch.hpp> // include directory libs/math/src/tr1/ is needed.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/gamma.hpp>
+    using boost::math::gamma_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+RealType NaivePDF(RealType shape, RealType scale, RealType x)
+{
+   // Deliberately naive PDF calculator again which
+   // we'll compare our pdf function.  However some
+   // published values to compare against would be better....
+   using namespace std;
+   RealType result = log(x) * (shape - 1) - x / scale - boost::math::lgamma(shape) - log(scale) * shape;
+   return exp(result);
+}
+
+template <class RealType>
+void check_gamma(RealType shape, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         gamma_distribution<RealType>(shape, scale),    // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            gamma_distribution<RealType>(shape, scale), // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            gamma_distribution<RealType>(shape, scale),    // distribution.
+            p),                                            // probability.
+            x,                                             // random variable.
+            tol);                                          // %tolerance.
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(
+               gamma_distribution<RealType>(shape, scale), // distribution.
+               q)),                                        // probability complement.
+            x,                                             // random variable.
+            tol);                                          // %tolerance.
+   }
+   // PDF:
+   BOOST_CHECK_CLOSE(
+      boost::math::pdf(
+         gamma_distribution<RealType>(shape, scale),    // distribution.
+         x),                                            // random variable.
+         NaivePDF(shape, scale, x),                     // PDF
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   //
+   // 15 decimal places expressed as a percentage.
+   // The first tests use values generated by MathCAD,
+   // and should be accurate to around double precision.
+   //
+   RealType tolerance = (std::max)(RealType(5e-14f), std::numeric_limits<RealType>::epsilon() * 20) * 100;
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   check_gamma(
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(1),
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(0.682689492137085),
+      static_cast<RealType>(1-0.682689492137085),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(2),
+      static_cast<RealType>(1),
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(0.090204010431050),
+      static_cast<RealType>(1-0.090204010431050),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(40),
+      static_cast<RealType>(1),
+      static_cast<RealType>(10),
+      static_cast<RealType>(7.34163631456064E-13),
+      static_cast<RealType>(1-7.34163631456064E-13),
+      tolerance);
+
+   //
+   // Some more test data generated by the online
+   // calculator at http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   // This has the advantage of supporting the scale parameter as well
+   // as shape, but has only a few digits accuracy, and produces
+   // some deeply suspect values if the shape parameter is < 1
+   // (it doesn't agree with MathCAD or this implementation).
+   // To be fair the incomplete gamma is tricky to get right in this area...
+   //
+   tolerance = 1e-5f * 100; // 5 decimal places as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   check_gamma(
+      static_cast<RealType>(2),
+      static_cast<RealType>(1)/5,
+      static_cast<RealType>(0.1),
+      static_cast<RealType>(0.090204),
+      static_cast<RealType>(1-0.090204),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(2),
+      static_cast<RealType>(1)/5,
+      static_cast<RealType>(0.5),
+      static_cast<RealType>(1-0.287298),
+      static_cast<RealType>(0.287298),
+      tolerance);
+   check_gamma(
+      static_cast<RealType>(3),
+      static_cast<RealType>(2),
+      static_cast<RealType>(1),
+      static_cast<RealType>(0.014388),
+      static_cast<RealType>(1-0.014388),
+      tolerance * 10); // one less decimal place in the test value
+   check_gamma(
+      static_cast<RealType>(3),
+      static_cast<RealType>(2),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0.456187),
+      static_cast<RealType>(1-0.456187),
+      tolerance);
+
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100;  // 5 eps as a percentage
+    gamma_distribution<RealType> dist(8, 3);
+    RealType x = static_cast<RealType>(0.125);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8*3), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(8*3*3), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , sqrt(static_cast<RealType>(8*3*3)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(7 * 3), tol2);
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , 2 / sqrt(static_cast<RealType>(8)), tol2);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , 3 + 6 / static_cast<RealType>(8), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , 6 / static_cast<RealType>(8), tol2);
+
+    BOOST_CHECK_CLOSE(
+       median(dist), static_cast<RealType>(23.007748327502412), // double precision test value
+       (std::max)(tol2, static_cast<RealType>(std::numeric_limits<double>::epsilon() * 2 * 100))); // 2 eps as percent
+
+    using std::log;
+    RealType expected_entropy = RealType(8) + log(RealType(3)) + boost::math::lgamma(RealType(8)) - 7*boost::math::digamma(RealType(8));
+    BOOST_CHECK_CLOSE(
+       entropy(dist), expected_entropy, tol2);
+
+  // Rely on default definition in derived accessors.
+
+   // error tests
+   check_out_of_range<boost::math::gamma_distribution<RealType> >(1, 1);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(0, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(-1, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(1, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::gamma_distribution<RealType>(1, -1), std::domain_error);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_gamma_dist.exe"
+Running 1 test case...
+Tolerance for type float is 0.000238419 %
+Tolerance for type float is 0.001 %
+Tolerance for type double is 5e-012 %
+Tolerance for type double is 0.001 %
+Tolerance for type long double is 5e-012 %
+Tolerance for type long double is 0.001 %
+Tolerance for type class boost::math::concepts::real_concept is 5e-012 %
+Tolerance for type class boost::math::concepts::real_concept is 0.001 %
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_gamma_hooks.hpp b/src/boost/libs/math/test/test_gamma_hooks.hpp
new file mode 100644
index 000000000..b07c5b83a
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_hooks.hpp
@@ -0,0 +1,281 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_GAMMA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_GAMMA_OTHER_HOOKS_HPP
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double gamma(double);
+   float gammaf(float);
+   long double gammal(long double);
+   double lgam(double);
+   float lgamf(float);
+   long double lgaml(long double);
+   float igamf(float, float);
+   double igam(double, double);
+   long double igaml(long double, long double);
+   float igamcf(float, float);
+   double igamc(double, double);
+   long double igamcl(long double, long double);
+}
+inline float tgamma(float x)
+{ return gammaf(x); }
+inline double tgamma(double x)
+{ return gamma(x); }
+inline long double tgamma(long double x)
+{
+#ifdef BOOST_MSVC
+   return gamma((double)x); 
+#else
+   return gammal(x); 
+#endif
+}
+inline float lgamma(float x)
+{ return lgamf(x); }
+inline double lgamma(double x)
+{ return lgam(x); }
+inline long double lgamma(long double x)
+{
+#ifdef BOOST_MSVC
+   return lgam((double)x); 
+#else
+   return lgaml(x); 
+#endif
+}
+inline float gamma_q(float x, float y)
+{ return igamcf(x, y); }
+inline double gamma_q(double x, double y)
+{ return igamc(x, y); }
+inline long double gamma_q(long double x, long double y)
+{
+#ifdef BOOST_MSVC
+   return igamc((double)x, (double)y); 
+#else
+   return igamcl(x, y); 
+#endif
+}
+inline float gamma_p(float x, float y)
+{ return igamf(x, y); }
+inline double gamma_p(double x, double y)
+{ return igam(x, y); }
+inline long double gamma_p(long double x, long double y)
+{
+#ifdef BOOST_MSVC
+   return igam((double)x, (double)y); 
+#else
+   return igaml(x, y); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_NATIVE
+#include <math.h>
+namespace other{
+#if defined(__FreeBSD__)
+// no float version:
+inline float tgamma(float x)
+{ return ::tgamma(x); }
+#else
+inline float tgamma(float x)
+{ return ::tgammaf(x); }
+#endif
+inline double tgamma(double x)
+{ return ::tgamma(x); }
+inline long double tgamma(long double x)
+{ 
+#if defined(__CYGWIN__) || defined(__FreeBSD__)
+   // no long double versions:
+   return ::tgamma(x);
+#else
+   return ::tgammal(x);
+#endif
+}
+#if defined(__FreeBSD__)
+inline float lgamma(float x)
+{ return ::lgamma(x); }
+#else
+inline float lgamma(float x)
+{ return ::lgammaf(x); }
+#endif
+inline double lgamma(double x)
+{ return ::lgamma(x); }
+inline long double lgamma(long double x)
+{ 
+#if defined(__CYGWIN__) || defined(__FreeBSD__) 
+   // no long double versions:
+   return ::lgamma(x); 
+#else
+   return ::lgammal(x); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#define TEST_OTHER
+#include <gsl/gsl_sf_gamma.h>
+
+namespace other{
+float tgamma(float z)
+{
+   return (float)gsl_sf_gamma(z);
+}
+double tgamma(double z)
+{
+   return gsl_sf_gamma(z);
+}
+long double tgamma(long double z)
+{
+   return gsl_sf_gamma(z);
+}
+float lgamma(float z)
+{
+   return (float)gsl_sf_lngamma(z);
+}
+double lgamma(double z)
+{
+   return gsl_sf_lngamma(z);
+}
+long double lgamma(long double z)
+{
+   return gsl_sf_lngamma(z);
+}
+inline float gamma_q(float x, float y)
+{ return (float)gsl_sf_gamma_inc_Q(x, y); }
+inline double gamma_q(double x, double y)
+{ return gsl_sf_gamma_inc_Q(x, y); }
+inline long double gamma_q(long double x, long double y)
+{ return gsl_sf_gamma_inc_Q(x, y); }
+inline float gamma_p(float x, float y)
+{ return (float)gsl_sf_gamma_inc_P(x, y); }
+inline double gamma_p(double x, double y)
+{ return gsl_sf_gamma_inc_P(x, y); }
+inline long double gamma_p(long double x, long double y)
+{ return gsl_sf_gamma_inc_P(x, y); }
+}
+#endif
+
+#ifdef TEST_DCDFLIB
+#define TEST_OTHER
+#include <dcdflib.h>
+
+namespace other{
+float tgamma(float z)
+{
+   double v = z;
+   return (float)gamma_x(&v);
+}
+double tgamma(double z)
+{
+   return gamma_x(&z);
+}
+long double tgamma(long double z)
+{
+   double v = z;
+   return gamma_x(&v);
+}
+float lgamma(float z)
+{
+   double v = z;
+   return (float)gamma_log(&v);
+}
+double lgamma(double z)
+{
+   double v = z;
+   return gamma_log(&v);
+}
+long double lgamma(long double z)
+{
+   double v = z;
+   return gamma_log(&v);
+}
+inline double gamma_q(double x, double y)
+{ 
+   double ans, qans;
+   int i = 0;
+   gamma_inc (&x, &y, &ans, &qans, &i); 
+   return qans;
+}
+inline float gamma_q(float x, float y)
+{ 
+   return (float)gamma_q((double)x, (double)y); 
+}
+inline long double gamma_q(long double x, long double y)
+{ 
+   return gamma_q((double)x, (double)y); 
+}
+inline double gamma_p(double x, double y)
+{ 
+   double ans, qans;
+   int i = 0;
+   gamma_inc (&x, &y, &ans, &qans, &i); 
+   return ans;
+}
+inline float gamma_p(float x, float y)
+{ 
+   return (float)gamma_p((double)x, (double)y); 
+}
+inline long double gamma_p(long double x, long double y)
+{ 
+   return gamma_p((double)x, (double)y); 
+}
+
+inline double gamma_q_inv(double x, double y)
+{ 
+   double ans, p, nul;
+   int i = 0;
+   p = 1 - y;
+   nul = 0;
+   gamma_inc_inv (&x, &ans, &nul, &p, &y, &i); 
+   return ans;
+}
+inline float gamma_q_inv(float x, float y)
+{ 
+   return (float)gamma_q_inv((double)x, (double)y); 
+}
+inline long double gamma_q_inv(long double x, long double y)
+{ 
+   return gamma_q_inv((double)x, (double)y); 
+}
+inline double gamma_p_inv(double x, double y)
+{ 
+   double ans, p, nul;
+   int i = 0;
+   p = 1 - y;
+   nul = 0;
+   gamma_inc_inv (&x, &ans, &nul, &y, &p, &i); 
+   return ans;
+}
+inline float gamma_p_inv(float x, float y)
+{ 
+   return (float)gamma_p_inv((double)x, (double)y); 
+}
+inline long double gamma_p_inv(long double x, long double y)
+{ 
+   return gamma_p_inv((double)x, (double)y); 
+}
+
+}
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept tgamma(boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept lgamma(boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept gamma_q(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept gamma_p(boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept gamma_p_inv(boost::math::concepts::real_concept x, boost::math::concepts::real_concept y){ return 0; }
+   boost::math::concepts::real_concept gamma_q_inv(boost::math::concepts::real_concept x, boost::math::concepts::real_concept y){ return 0; }
+}
+#endif
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_gamma_mp.cpp b/src/boost/libs/math/test/test_gamma_mp.cpp
new file mode 100644
index 000000000..f5da84e9e
--- /dev/null
+++ b/src/boost/libs/math/test/test_gamma_mp.cpp
@@ -0,0 +1,179 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_STRINGIZE(x))
+#endif
+
+template <class Real, class T>
+void do_test_gamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && (!defined(TGAMMA_FUNCTION_TO_TEST) || !defined(LGAMMA_FUNCTION_TO_TEST)))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef TGAMMA_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma<value_type>;
+#else
+   pg funcp = boost::math::tgamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma", test_name);
+   //
+   // test lgamma against data:
+   //
+#ifdef LGAMMA_FUNCTION_TO_TEST
+   funcp = LGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::lgamma<value_type>;
+#else
+   funcp = boost::math::lgamma;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "lgamma", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value, gamma and lgamma:
+   //
+   // gamma and lgamma at integer and half integer values:
+   // boost::array<boost::array<T, 3>, N> factorials;
+   //
+   // gamma and lgamma for z near 0:
+   // boost::array<boost::array<T, 3>, N> near_0;
+   //
+   // gamma and lgamma for z near 1:
+   // boost::array<boost::array<T, 3>, N> near_1;
+   //
+   // gamma and lgamma for z near 2:
+   // boost::array<boost::array<T, 3>, N> near_2;
+   //
+   // gamma and lgamma for z near -10:
+   // boost::array<boost::array<T, 3>, N> near_m10;
+   //
+   // gamma and lgamma for z near -55:
+   // boost::array<boost::array<T, 3>, N> near_m55;
+   //
+   // The last two cases are chosen more or less at random,
+   // except that one is even and the other odd, and both are
+   // at negative poles.  The data near zero also tests near
+   // a pole, the data near 1 and 2 are to probe lgamma as
+   // the result -> 0.
+   //
+#  include "tgamma_mp_data.hpp"
+
+   do_test_gamma<T>(factorials, name, "factorials");
+   do_test_gamma<T>(near_0, name, "near 0");
+   do_test_gamma<T>(near_1, name, "near 1");
+   do_test_gamma<T>(near_2, name, "near 2");
+   do_test_gamma<T>(near_m10, name, "near -10");
+   do_test_gamma<T>(near_m55, name, "near -55");
+}
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "number<cpp_bin_float<65> >",           // test type(s)
+      ".*",                          // test data group
+      "lgamma", 9000, 4000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "number<cpp_bin_float<75> >",           // test type(s)
+      ".*",                          // test data group
+      "lgamma", 60000, 20000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "cpp_bin_float_100|number<cpp_bin_float<85> >",           // test type(s)
+      ".*",                          // test data group
+      "lgamma", 600000, 300000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "lgamma", 4800, 2500);           // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      "[tl]gamma", 100, 50);            // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE(test_main)
+{
+   expected_results();
+   using namespace boost::multiprecision;
+   test_gamma(number<cpp_bin_float<38> >(0), "number<cpp_bin_float<38> >");
+   test_gamma(number<cpp_bin_float<45> >(0), "number<cpp_bin_float<45> >");
+   test_gamma(cpp_bin_float_50(0), "cpp_bin_float_50");
+   test_gamma(number<cpp_bin_float<55> >(0), "number<cpp_bin_float<55> >");
+   test_gamma(number<cpp_bin_float<65> >(0), "number<cpp_bin_float<65> >");
+   test_gamma(number<cpp_bin_float<75> >(0), "number<cpp_bin_float<75> >");
+   test_gamma(number<cpp_bin_float<85> >(0), "number<cpp_bin_float<85> >");
+   test_gamma(cpp_bin_float_100(0), "cpp_bin_float_100");
+}
diff --git a/src/boost/libs/math/test/test_geometric.cpp b/src/boost/libs/math/test/test_geometric.cpp
new file mode 100644
index 000000000..423705b0d
--- /dev/null
+++ b/src/boost/libs/math/test/test_geometric.cpp
@@ -0,0 +1,802 @@
+// test_geometric.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests for Geometric Distribution.
+
+// Note that these defines must be placed BEFORE #includes.
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+// because several tests overflow & underflow by design.
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/geometric.hpp> // for geometric_distribution
+using boost::math::geometric_distribution;
+using boost::math::geometric; // using typedef for geometric_distribution<double>
+
+#include <boost/math/distributions/negative_binomial.hpp> // for some comparisons.
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::setprecision;
+using std::showpoint;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot( // Test a single spot value against 'known good' values.
+               RealType k,    // Number of failures.
+               RealType p,    // Probability of success_fraction.
+               RealType P,    // CDF probability.
+               RealType Q,    // Complement of CDF.
+               RealType tol)  // Test tolerance.
+{
+   boost::math::geometric_distribution<RealType> g(p);
+   BOOST_CHECK_EQUAL(p, g.success_fraction());
+   BOOST_CHECK_CLOSE_FRACTION(cdf(g, k), P, tol);
+
+  if((P < 0.99) && (Q < 0.99))
+  {
+    // We can only check this if P is not too close to 1,
+    // so that we can guarantee that Q is free of error:
+    //
+    BOOST_CHECK_CLOSE_FRACTION(
+      cdf(complement(g, k)), Q, tol);
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(g, P), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(g, P) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(g, Q)), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(complement(g, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+  } //   if((P < 0.99) && (Q < 0.99))
+
+    // Parameter estimation test:  estimate success ratio:
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_lower_bound_on_p(
+      1+k, P),
+      p, 0.02); // Wide tolerance needed for some tests.
+   // Note we bump up the sample size here, purely for the sake of the test,
+    // internally the function has to adjust the sample size so that we get
+    // the right upper bound, our test undoes this, so we can verify the result.
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_upper_bound_on_p(
+      1+k+1, Q),
+      p, 0.02);
+
+    if(Q < P)
+    {
+       //
+       // We check two things here, that the upper and lower bounds
+       // are the right way around, and that they do actually bracket
+       // the naive estimate of p = successes / (sample size)
+       //
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k, Q)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, Q)
+        );
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k, Q)
+        <=
+        1 / (1+k)
+        );
+      BOOST_CHECK(
+        1 / (1+k)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, Q)
+        );
+    }
+    else
+    {
+       // As above but when P is small.
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k, P)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, P)
+        );
+      BOOST_CHECK(
+        geometric_distribution<RealType>::find_lower_bound_on_p(
+        1+k,  P)
+        <=
+        1 / (1+k)
+        );
+      BOOST_CHECK(
+        1 / (1+k)
+        <=
+        geometric_distribution<RealType>::find_upper_bound_on_p(
+        1+k, P)
+        );
+    }
+
+    // Estimate sample size:
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_minimum_number_of_trials(
+      k, p, P),
+      1+k, 0.02); // Can differ 50 to 51 for small p
+    BOOST_CHECK_CLOSE_FRACTION(
+      geometric_distribution<RealType>::find_maximum_number_of_trials(
+         k, p, Q),
+      1+k, 0.02);
+
+} // test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks.
+  // Most test data is to double precision (17 decimal digits) only,
+
+  cout << "Floating point Type is " << typeid(RealType).name() << endl;
+
+  // so set tolerance to 1000 eps expressed as a fraction,
+  // or 1000 eps of type double expressed as a fraction,
+  // whichever is the larger.
+
+  RealType tolerance = (std::max)
+    (boost::math::tools::epsilon<RealType>(),
+    static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+  tolerance *= 10; // 10 eps
+
+  cout << "Tolerance = " << tolerance << "." << endl;
+
+  RealType tol1eps = boost::math::tools::epsilon<RealType>(); // Very tight, suit exact values.
+  //RealType tol2eps = boost::math::tools::epsilon<RealType>() * 2; // Tight,  values.
+  RealType tol5eps = boost::math::tools::epsilon<RealType>() * 5; // Wider 5 epsilon.
+  cout << "Tolerance 5 eps = " << tol5eps << "." << endl;
+
+
+  // Sources of spot test values are mainly R.
+
+  using boost::math::geometric_distribution;
+  using boost::math::geometric;
+  using boost::math::cdf;
+  using boost::math::pdf;
+  using boost::math::quantile;
+  using boost::math::complement;
+
+  BOOST_MATH_STD_USING // for std math functions
+
+  // Test geometric using cdf spot values R
+  // These test quantiles and complements as well.
+
+  test_spot(  //
+  static_cast<RealType>(2),   // Number of failures, k
+  static_cast<RealType>(0.5), // Probability of success as fraction, p
+  static_cast<RealType>(0.875L), // Probability of result (CDF), P
+  static_cast<RealType>(0.125L),  // complement CCDF Q = 1 - P
+  tolerance);
+
+  test_spot( //
+  static_cast<RealType>(0),    // Number of failures, k
+  static_cast<RealType>(0.25), // Probability of success as fraction, p
+  static_cast<RealType>(0.25),   // Probability of result (CDF), P
+  static_cast<RealType>(0.75),   // Q = 1 - P
+  tolerance);
+
+  test_spot(
+    // R formatC(pgeom(10,0.25), digits=17) [1] "0.95776486396789551"
+    // formatC(pgeom(10,0.25, FALSE), digits=17) [1] "0.042235136032104499"
+
+  static_cast<RealType>(10),  // Number of failures, k
+  static_cast<RealType>(0.25),  // Probability of success, p
+  static_cast<RealType>(0.95776486396789551L),  // Probability of result (CDF), P
+  static_cast<RealType>(0.042235136032104499L), // Q = 1 - P
+  tolerance);
+
+  test_spot(  //
+  // > R formatC(pgeom(50,0.25, TRUE), digits=17) [1] "0.99999957525875771"
+  // > R formatC(pgeom(50,0.25, FALSE), digits=17) [1] "4.2474124232020353e-07"
+  static_cast<RealType>(50),     // Number of failures, k
+  static_cast<RealType>(0.25),     // Probability of success, p
+  static_cast<RealType>(0.99999957525875771),  // Probability of result (CDF), P
+  static_cast<RealType>(4.2474124232020353e-07),   // Q = 1 - P
+  tolerance);
+  /*
+  // This causes failures in find_upper_bound_on_p p is small branch.
+  test_spot(  // formatC(pgeom(50,0.01, TRUE), digits=17)[1] "0.40104399353383874"
+    // > formatC(pgeom(50,0.01, FALSE), digits=17) [1] "0.59895600646616121"
+  static_cast<RealType>(50), // Number of failures, k
+  static_cast<RealType>(0.01),   // Probability of success, p
+  static_cast<RealType>(0.40104399353383874),   // Probability of result (CDF), P
+  static_cast<RealType>(0.59895600646616121),   // Q = 1 - P
+  tolerance);
+  */
+
+  test_spot( // > formatC(pgeom(50,0.99, TRUE), digits=17) [1] "                 1"
+    // formatC(pgeom(50,0.99, FALSE), digits=17) [1] "1.0000000000000364e-102"
+  static_cast<RealType>(50),     // Number of failures, k
+  static_cast<RealType>(0.99),    // Probability of success, p
+  static_cast<RealType>(1), // Probability of result (CDF), P
+  static_cast<RealType>(1.0000000000000364e-102),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // > formatC(pgeom(1,0.99, TRUE), digits=17) [1] "0.99990000000000001"
+    // > formatC(pgeom(1,0.99, FALSE), digits=17) [1] "0.00010000000000000009"
+  static_cast<RealType>(1),     // Number of failures, k
+  static_cast<RealType>(0.99),                    // Probability of success, p
+  static_cast<RealType>(0.9999),     // Probability of result (CDF), P
+  static_cast<RealType>(0.0001),   // Q = 1 - P
+  tolerance);
+
+if(std::numeric_limits<RealType>::is_specialized)
+{ // An extreme value test that is more accurate than using negative binomial.
+  // Since geometric only uses exp and log functions.
+  test_spot(  // > formatC(pgeom(10000, 0.001, TRUE), digits=17) [1] "0.99995487182736897"
+// > formatC(pgeom(10000,0.001, FALSE), digits=17) [1] "4.5128172631071587e-05"
+  static_cast<RealType>(10000L), // Number of failures, k
+  static_cast<RealType>(0.001L),                    // Probability of success, p
+  static_cast<RealType>(0.99995487182736897L),     // Probability of result (CDF), P
+  static_cast<RealType>(4.5128172631071587e-05L),   // Q = 1 - P
+  tolerance); //
+  } // numeric_limit is specialized
+ // End of single spot tests using RealType
+
+  // Tests on PDF:
+
+  BOOST_CHECK_CLOSE_FRACTION( //> formatC(dgeom(0,0.5), digits=17)[1] " 0.5"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(0.0) ),  // Number of failures, k is very small but not integral,
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //> formatC(dgeom(0,0.5), digits=17)[1] "    0.5"
+    //  R treats geom as a discrete distribution.
+    // > formatC(dgeom(1.999999,0.5, FALSE), digits=17) [1] "   0"
+    // Warning message:
+    // In dgeom(1.999999, 0.5, FALSE) : non-integer x = 1.999999
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(0.0001L) ),  // Number of failures, k is very small but not integral,
+  static_cast<RealType>(0.4999653438420768L), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(pgeom(0.0001,0.5, TRUE), digits=17)[1] " 0.5"
+    // > formatC(pgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treats geom as a discrete distribution.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(0.0001L) ),  // Number of failures, k is very small but not integral,
+  static_cast<RealType>(0.4999653438420768L), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // formatC(dgeom(1,0.01), digits=17)[1] "0.0099000000000000008"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.01L)),
+  static_cast<RealType>(1) ),  // Number of failures, k
+  static_cast<RealType>(0.0099000000000000008), //
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //> formatC(dgeom(1,0.99), digits=17)[1] "0.0099000000000000043"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.99L)),
+  static_cast<RealType>(1) ),  // Number of failures, k
+  static_cast<RealType>(0.00990000000000000043L), //
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //> > formatC(dgeom(0,0.99), digits=17)[1] "0.98999999999999999"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.99L)),
+  static_cast<RealType>(0) ),  // Number of failures, k
+  static_cast<RealType>(0.98999999999999999L), //
+  tolerance);
+
+  // p  near unity.
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(dgeom(100,0.99), digits=17)[1] "9.9000000000003448e-201"
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.99L)),
+  static_cast<RealType>(100) ),  // Number of failures, k
+  static_cast<RealType>(9.9000000000003448e-201L), //
+  100 * tolerance); // Note difference
+
+    // p nearer unity.
+  BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999)),
+  static_cast<RealType>(10) ),  // Number of failures, k
+  // static_cast<double>(9.9989999999889024e-41), // Boost.Math
+  // static_cast<float>(1.00156406e-040)
+  static_cast<RealType>(9.999e-41), // exact from 100 digit calculator.
+  2e3 * tolerance); // Note bigger tolerance needed.
+
+  // Moshier Cephes 100 digits calculator says 9.999e-41
+  //0.9999*pow(1-0.9999,10)
+  // 9.9990000000000000000000000000000000000000000000000000000000000000000000E-41
+  // 9.998999999988988e-041
+  // > formatC(dgeom(10, 0.9999), digits=17) [1] "9.9989999999889024e-41"
+  // p *  pow(q, k)         9.9989999999889880e-041
+  // exp(p * k * log1p(-p)) 9.9989999999889024e-041
+
+
+
+  // 0.9999999999 * pow(1-0.9999999999,10)=  9.9999999990E-101
+  // > formatC(dgeom(10,0.9999999999), digits=17)  [1] "1.0000008273040127e-100"
+  BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999999999L)),
+  static_cast<RealType>(10) ),  //
+  static_cast<RealType>(9.9999999990E-101L), // 1.0000008273040179e-100
+  1e9 * tolerance); // Note big tolerance needed.
+  // 1.0000008273040179e-100  Boost.Math
+  // 1.0000008273040127e-100  R
+  // 0.9999999990000004e-100  100 digit calculator 'exact'
+
+  BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.00000000001L)),
+  static_cast<RealType>(10) ),  //
+  static_cast<RealType>(9.999999999e-12L), // get 9.9999999989999994e-012
+  1 * tolerance); // Note small tolerance needed.
+
+
+    BOOST_CHECK_CLOSE_FRACTION( //
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.00000000001L)),
+  static_cast<RealType>(1000) ),  //
+  static_cast<RealType>(9.9999999e-12L), // get 9.9999998999999913e-012
+  tolerance); // Note small tolerance needed.
+
+
+  ///////////////////////////////////////////////////
+  BOOST_CHECK_CLOSE_FRACTION( //
+    // > formatC(dgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treats geom as a discrete distribution.
+    // But Boost.Math is continuous, so if you want R behaviour,
+    // make number of failures, k into an integer with the floor function.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(floor(0.0001L)) ),  // Number of failures, k is very small but MADE integral,
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance);
+
+  // R switches over at about 1e7 from k = 0, returning 0.5,  to k = 1, returning 0.25.
+  // Boost.Math does not do this, even for 0.9999999999999999
+  // > formatC(pgeom(0.999999,0.5, FALSE), digits=17) [1] "               0.5"
+  // > formatC(pgeom(0.9999999,0.5, FALSE), digits=17) [1] "              0.25"
+
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(pgeom(0.0001,0.5, TRUE), digits=17)[1] "               0.5"
+    // > formatC(pgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treats geom as a discrete distribution.
+    // But Boost.Math is continuous, so if you want R behaviour,
+    // make number of failures, k into an integer with the floor function.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(floor(0.9999999999999999L)) ),  // Number of failures, k is very small but MADE integral,
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // > formatC(pgeom(0.0001,0.5, TRUE), digits=17)[1] "               0.5"
+    // > formatC(pgeom(0.0001,0.5, FALSE), digits=17) [1] "               0.5"
+    //  R treats geom as a discrete distribution.
+    // But Boost.Math is continuous, so if you want R behaviour,
+    // make number of failures, k into an integer with the floor function.
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+  static_cast<RealType>(floor(1. - tolerance)) ),
+  // Number of failures, k is very small but MADE integral,
+  // Need to use tolerance here,
+  // as epsilon is ill-defined for Real concept:
+  // numeric_limits<RealType>::epsilon()  0
+  static_cast<RealType>(0.5), // nearly success probability.
+  tolerance * 10);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.0001L)),
+  static_cast<RealType>(2)),  // k = 2.
+  static_cast<RealType>(9.99800010e-5L), // 'exact '
+  tolerance);
+
+  //> formatC(dgeom(2, 0.9999), digits=17) [1] "9.9989999999977806e-09"
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999L)),
+  static_cast<RealType>(2)),  // k = 0
+  static_cast<RealType>(9.999e-9L), // 'exact'
+  1000*tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999L)),
+  static_cast<RealType>(3)),  // k = 3
+  static_cast<RealType>(9.999e-13L), // get
+  1000*tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>(static_cast<RealType>(0.9999L)),
+  static_cast<RealType>(5)),  // k = 5
+  static_cast<RealType>(9.999e-21L), //  9.9989999999944947e-021
+  1000*tolerance);
+
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  pdf(geometric_distribution<RealType>( static_cast<RealType>(0.0001L)),
+  static_cast<RealType>(3)),  // k = 0.
+  static_cast<RealType>(9.99700029999e-5L), //
+  tolerance);
+   // Tests on cdf:
+  // MathCAD pgeom k, r, p) == failures, successes, probability.
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(
+    geometric_distribution<RealType>(static_cast<RealType>(0.5)), // prob 0.5
+    static_cast<RealType>(0) ), // k = 0
+    static_cast<RealType>(0.5), // probability =p
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(
+    geometric_distribution<RealType>(static_cast<RealType>(0.5)), //
+    static_cast<RealType>(0) )), // k = 0
+    static_cast<RealType>(0.5), // probability =
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)), // prob 0.5
+    static_cast<RealType>(1) ), // k = 0
+    static_cast<RealType>(0.4375L), // probability =p
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)), //
+    static_cast<RealType>(1) )), // k = 0
+    static_cast<RealType>(1-0.4375L), // probability =
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(
+    geometric_distribution<RealType>(static_cast<RealType>(0.5)), //
+    static_cast<RealType>(1) )), // k = 0
+    static_cast<RealType>(0.25), // probability = exact 0.25
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( //
+    cdf(geometric_distribution<RealType>(static_cast<RealType>(0.5)),
+    static_cast<RealType>(4)),  // k =4.
+    static_cast<RealType>(0.96875L), // exact
+    tolerance);
+
+
+  // Tests of other functions, mean and other moments ...
+
+  geometric_distribution<RealType> dist(static_cast<RealType>(0.25));
+  // mean:
+  BOOST_CHECK_CLOSE_FRACTION(
+    mean(dist), static_cast<RealType>((1 - 0.25) /0.25), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(
+    mode(dist), static_cast<RealType>(0), tol1eps);
+  // variance:
+  BOOST_CHECK_CLOSE_FRACTION(
+    variance(dist), static_cast<RealType>((1 - 0.25) / (0.25 * 0.25)), tol5eps);
+
+  // std deviation:
+  // sqrt(0.75/0.125)
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    standard_deviation(dist), //
+    static_cast<RealType>(sqrt((1.0L - 0.25L) / (0.25L * 0.25L))), // using 100 digit calc
+    tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    skewness(dist), //
+    static_cast<RealType>((2-0.25L) /sqrt(0.75L)),
+    // using calculator
+    tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis_excess(dist), //
+    static_cast<RealType>(6 + 0.0625L/0.75L), //
+    tol5eps);
+  // 6.083333333333333  6.166666666666667
+  BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis(dist), // true
+    static_cast<RealType>(9 + 0.0625L/0.75L), //
+    tol5eps);
+  // hazard:
+  RealType x = static_cast<RealType>(0.125);
+  BOOST_CHECK_CLOSE_FRACTION(
+  hazard(dist, x)
+  , pdf(dist, x) / cdf(complement(dist, x)), tol5eps);
+  // cumulative hazard:
+  BOOST_CHECK_CLOSE_FRACTION(
+  chf(dist, x), -log(cdf(complement(dist, x))), tol5eps);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE_FRACTION(
+  coefficient_of_variation(dist)
+  , standard_deviation(dist) / mean(dist), tol5eps);
+
+  // Special cases for PDF:
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(0)), //
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(0)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(1)),
+  static_cast<RealType>(0.001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  geometric_distribution<RealType>(static_cast<RealType>(1)),
+  static_cast<RealType>(8)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_SMALL(
+  pdf(
+   geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0))-
+  static_cast<RealType>(0.25),
+  2 * boost::math::tools::epsilon<RealType>() ); // Expect exact, but not quite.
+  // numeric_limits<RealType>::epsilon()); // Not suitable for real concept!
+
+  // Quantile boundary cases checks:
+  BOOST_CHECK_EQUAL(
+  quantile(  // zero P < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_EQUAL(
+  quantile(  // min P < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  quantile(  // Small P < cdf(0) so should be near zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::epsilon<RealType>())), //
+  static_cast<RealType>(0),
+    tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  quantile(  // Small P < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0),
+    tolerance);
+
+  //BOOST_CHECK(  // Fails with overflow for real_concept
+  //quantile(  // Small P near 1 so k failures should be big.
+  //geometric_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  //static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>())) <=
+  //static_cast<RealType>(189.56999032670058)  // 106.462769 for float
+  //);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_THROW_ON_OVERFLOW_POLICY ==  throw_on_error would throw here.
+    // #define BOOST_MAT_DOMAIN_ERROR_POLICY IS defined throw_on_error,
+    //  so the throw path of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_CHECK(
+    quantile(  // At P == 1 so k failures should be infinite.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)) ==
+    //static_cast<RealType>(boost::math::tools::infinity<RealType>())
+    static_cast<RealType>(std::numeric_limits<RealType>::infinity()) );
+
+    BOOST_CHECK_EQUAL(
+    quantile(  // At 1 == P  so should be infinite.
+    geometric_distribution<RealType>( static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)), //
+    std::numeric_limits<RealType>::infinity() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    std::numeric_limits<RealType>::infinity() );
+   } // test for infinity using std::numeric_limits<>::infinity()
+  else
+  { // real_concept case, so check it throws rather than returning infinity.
+    BOOST_CHECK_EQUAL(
+    quantile(  // At P == 1 so k failures should be infinite.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),
+    boost::math::tools::max_value<RealType>() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    boost::math::tools::max_value<RealType>());
+  } // has infinity
+
+  BOOST_CHECK( // Should work for built-in and real_concept.
+  quantile(complement(  // Q near to 1 so P nearly 1, so should be large > 300.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())))
+   >= static_cast<RealType>(300) );
+
+  BOOST_CHECK_EQUAL(
+  quantile(  //  P ==  0 < cdf(0) so should be zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  // Quantile Complement boundary cases:
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q = 1 so P = 0 < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>( static_cast<RealType>(0.25)),
+  static_cast<RealType>(1))),
+  static_cast<RealType>(0)
+  );
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q very near 1 so P == epsilon < cdf(0) so should be exactly zero.
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>()))),
+  static_cast<RealType>(0)
+  );
+
+  // Check that duff arguments throw domain_error:
+
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative success_fraction!
+  geometric_distribution<RealType>(static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Success_fraction > 1!
+  geometric_distribution<RealType>(static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)),
+  std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative k argument !
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error);
+  //BOOST_MATH_CHECK_THROW(
+  //pdf( // check limit on k (failures)
+  //geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  //std::numeric_limits<RealType>infinity()),
+  //std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  cdf(  // Negative k argument !
+  geometric_distribution<RealType>(static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Negative success_fraction!
+  geometric_distribution<RealType>(static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Success_fraction > 1!
+  geometric_distribution<RealType>(static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  quantile(  // Negative success_fraction!
+  geometric_distribution<RealType>(static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error);
+  BOOST_MATH_CHECK_THROW(
+  quantile( // Success_fraction > 1!
+  geometric_distribution<RealType>(static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error);
+   check_out_of_range<geometric_distribution<RealType> >(0.5);
+  // End of check throwing 'duff' out-of-domain values.
+
+  { // Compare geometric and negative binomial functions.
+    using boost::math::negative_binomial_distribution;
+    using boost::math::geometric_distribution;
+
+    RealType k = static_cast<RealType>(2.L);
+    RealType alpha = static_cast<RealType>(0.05L);
+    RealType p = static_cast<RealType>(0.5L);
+
+    BOOST_CHECK_CLOSE_FRACTION( // Successes parameter in negative binomial is 1 for geometric.
+      geometric_distribution<RealType>::find_lower_bound_on_p(k, alpha),
+      negative_binomial_distribution<RealType>::find_lower_bound_on_p(k, static_cast<RealType>(1), alpha),
+      tolerance);
+    BOOST_CHECK_CLOSE_FRACTION( // Successes parameter in negative binomial is 1 for geometric.
+      geometric_distribution<RealType>::find_upper_bound_on_p(k, alpha),
+      negative_binomial_distribution<RealType>::find_upper_bound_on_p(k, static_cast<RealType>(1), alpha),
+      tolerance);
+    BOOST_CHECK_CLOSE_FRACTION( // Should be identical - successes parameter is not used.
+       geometric_distribution<RealType>::find_maximum_number_of_trials(k, p, alpha),
+      negative_binomial_distribution<RealType>::find_maximum_number_of_trials(k, p, alpha),
+    tolerance);
+  }
+    //geometric::find_upper_bound_on_p(k, alpha);
+   return;
+} // template <class RealType> void test_spots(RealType) // Any floating-point type RealType.
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate geometric distribution using the two convenience methods:
+   using namespace boost::math;
+   geometric g05d(0.5); // Using typedef - default type is double.
+   geometric_distribution<> g05dd(0.5); // Using default RealType double.
+
+  // Basic sanity-check spot values.
+
+  // Test some simple double only examples.
+  geometric_distribution<double> mydist(0.25);
+  // success fraction == 0.25 == 25% or 1 in 4 successes.
+  // Note: double values (matching the distribution definition) avoid the need for any casting.
+
+  // Check accessor functions return exact values for double at least.
+  BOOST_CHECK_EQUAL(mydist.success_fraction(), static_cast<double>(1./4.));
+
+  //cout << numeric_limits<RealType>::epsilon() << endl;
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+  test_spots(0.0L); // Test long double.
+#endif
+  #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+  #endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+
+
+*/
diff --git a/src/boost/libs/math/test/test_hankel.cpp b/src/boost/libs/math/test/test_hankel.cpp
new file mode 100644
index 000000000..f961234d3
--- /dev/null
+++ b/src/boost/libs/math/test/test_hankel.cpp
@@ -0,0 +1,149 @@
+//  Copyright John Maddock 2012
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/array.hpp>
+#include <boost/math/special_functions/hankel.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756 4127) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Hankel H1 and H2 functions.  
+// These are basically just a few spot tests, since the underlying implementation
+// is the same as for the Bessel functions.
+//
+template <class T>
+void check_close(const std::complex<T>& a, const std::complex<T>& b)
+{
+   T tol = boost::math::tools::epsilon<T>() * 3000;
+   BOOST_CHECK_CLOSE_FRACTION(a.real(), b.real(), tol);
+   BOOST_CHECK_CLOSE_FRACTION(a.imag(), b.imag(), tol);
+}
+
+template <class T>
+void test_hankel(T, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+
+   static const boost::array<boost::array<std::complex<T>, 4>, 16> data = 
+   {{
+      // Values are v, z, J, and Y.
+      // H1 and H2 are calculated from functions.wolfram.com.
+      {{ 0, 1, static_cast<T>(0.765197686557966551449717526102663220909274289755325241861548L), static_cast<T>(0.0882569642156769579829267660235151628278175230906755467110438L) }},
+      {{ 20, 15.5, static_cast<T>(0.0114685669049540880132573889173945340441319848974792913849131L), static_cast<T>(-2.23357703561803241011539677726233479433825678625142168545338L) }},
+      {{ 202, 65, static_cast<T>(4.03123907894335908039069177339845754619082182624766366629474e-77L), static_cast<T>(-4.12853948338543234456930697819285129000267780751856135651604e73L) }},
+      {{ 1.25, 2.25, static_cast<T>(0.548918751190427983177518806565451279306141559548962787802891L), static_cast<T>(-0.125900744882628421758627761371862848797979705547465002154794L) }},
+      {{ -20, 15.5, static_cast<T>(0.0114685669049540880132573889173945340441319848974792913849131L), static_cast<T>(-2.23357703561803241011539677726233479433825678625142168545338L) }},
+      {{ -20, -15.5,  static_cast<T>(0.0114685669049540880132573889173945340441319848974792913849131L), std::complex<T>(static_cast<T>(-2.23357703561803241011539677726233479433825678625142168545338L), static_cast<T>(0.02293713380990817602651477783478906808826396979495858276983L))}},
+      {{ 1.25, -1.5, std::complex<T>(static_cast<T>(-0.335713500965919366139805990226845134897000581426417882156072L),  static_cast<T>(-0.335713500965919366139805990226845134897000581426417882156072L)), std::complex<T>(static_cast<T>(0.392747687664481978664420363126684555843062241632017696636768L), static_cast<T>(-1.064174689596320710944032343580374825637063404484853460948911L)) }},
+      {{ -1.25, -1.5, std::complex<T>(static_cast<T>(0.515099846311769525023685454389374962206960751452481078650112L),  static_cast<T>(-0.515099846311769525023685454389374962206960751452481078650112L)), std::complex<T>(static_cast<T>(-0.040329260174013212604062774398331485097569895404765001721544L), static_cast<T>(0.989870432449525837443308134380418439316351607500197155578680L)) }},
+      {{ 4, 4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L) }},
+      {{ 4, -4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), std::complex<T>(static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L), static_cast<T>(0.562258129922720212644554320459885613794177234118657741258443L)) }},
+      {{ -4, 4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L) }},
+      {{ -4, -4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222), std::complex<T>(static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267), static_cast<T>(0.562258129922720212644554320459885613794177234118657741258443L)) }},
+      {{ 3, 3, static_cast<T>(0.309062722255251643618260194946833149429135935993056794354475L), static_cast<T>(-0.538541616105031618004703905338594463807957863604859251481262L) }},
+      {{ 3, -3, static_cast<T>(-0.309062722255251643618260194946833149429135935993056794354475L), std::complex<T>(static_cast<T>(0.538541616105031618004703905338594463807957863604859251481262L), static_cast<T>(-0.618125444510503287236520389893666298858271871986113588708949L)) }},
+      {{ -3, 3, static_cast<T>(-0.309062722255251643618260194946833149429135935993056794354475L), static_cast<T>(0.538541616105031618004703905338594463807957863604859251481262L) }},
+      {{ -3, -3, static_cast<T>(0.309062722255251643618260194946833149429135935993056794354475L), std::complex<T>(static_cast<T>(-0.538541616105031618004703905338594463807957863604859251481262L), static_cast<T>(0.618125444510503287236520389893666298858271871986113588708949L)) }},
+   }};
+
+   std::complex<T> im(0, 1);
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      if((i != 2) || (std::numeric_limits<T>::max_exponent10 > 80))
+      {
+         check_close(boost::math::cyl_hankel_1(data[i][0].real(), data[i][1].real()), data[i][2] + im * data[i][3]);
+         check_close(boost::math::cyl_hankel_2(data[i][0].real(), data[i][1].real()), data[i][2] - im * data[i][3]);
+
+         check_close(
+            boost::math::cyl_hankel_1(data[i][0].real() + 0.5f, data[i][1].real()) * boost::math::constants::root_half_pi<T>() / sqrt(data[i][1]),
+            boost::math::sph_hankel_1(data[i][0].real(), data[i][1].real()));
+         check_close(
+            boost::math::cyl_hankel_2(data[i][0].real() + 0.5f, data[i][1].real()) * boost::math::constants::root_half_pi<T>() / sqrt(data[i][1]),
+            boost::math::sph_hankel_2(data[i][0].real(), data[i][1].real()));
+      }
+   }
+}
+
+//
+// Instantiate a few instances to check our error handling code can cope with std::complex:
+//
+typedef boost::math::policies::policy<
+   boost::math::policies::overflow_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::denorm_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::underflow_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::domain_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::pole_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::rounding_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::evaluation_error<boost::math::policies::throw_on_error>,
+   boost::math::policies::indeterminate_result_error<boost::math::policies::throw_on_error> > pol1;
+
+template std::complex<double> boost::math::cyl_hankel_1<double, double, pol1>(double, double, const pol1&);
+
+typedef boost::math::policies::policy<
+   boost::math::policies::overflow_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::denorm_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::underflow_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::domain_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::pole_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::rounding_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::evaluation_error<boost::math::policies::errno_on_error>,
+   boost::math::policies::indeterminate_result_error<boost::math::policies::errno_on_error> > pol2;
+
+template std::complex<double> boost::math::cyl_hankel_1<double, double, pol2>(double, double, const pol2&);
+
+typedef boost::math::policies::policy<
+   boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+   boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+   boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+   boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+   boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+   boost::math::policies::rounding_error<boost::math::policies::ignore_error>,
+   boost::math::policies::evaluation_error<boost::math::policies::ignore_error>,
+   boost::math::policies::indeterminate_result_error<boost::math::policies::ignore_error> > pol3;
+
+template std::complex<double> boost::math::cyl_hankel_1<double, double, pol3>(double, double, const pol3&);
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_hankel(0.1F, "float");
+#endif
+   test_hankel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_hankel(0.1L, "long double");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_hermite.cpp b/src/boost/libs/math/test/test_hermite.cpp
new file mode 100644
index 000000000..87875fa84
--- /dev/null
+++ b/src/boost/libs/math/test/test_hermite.cpp
@@ -0,0 +1,116 @@
+//  Copyright John Maddock 2006, 2007
+//  Copyright Paul A. Bristow 2007
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include"test_hermite.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Hermite polynomials.  
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      "hermite", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      "hermite", 10, 5);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+
+   boost::math::hermite(51, 915.0);
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_hermite(0.1F, "float");
+#endif
+   test_hermite(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_hermite(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_hermite(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_hermite.hpp b/src/boost/libs/math/test/test_hermite.hpp
new file mode 100644
index 000000000..0b00677ee
--- /dev/null
+++ b/src/boost/libs/math/test/test_hermite.hpp
@@ -0,0 +1,106 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // conditional expression is constant
+#  pragma warning(disable : 4512) // assignment operator could not be generated
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_hermite(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(HERMITE_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef HERMITE_FUNCTION_TO_TEST
+   pg funcp = HERMITE_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::hermite<value_type>;
+#else
+   pg funcp = boost::math::hermite;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hermite against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hermite", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_hermite(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "hermite.ipp"
+
+   do_test_hermite<T>(hermite, name, "Hermite Polynomials");
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   // These spots were generated by MathCAD, precision is 
+   // 14-16 digits.
+   //
+   T tolerance = (std::max)(boost::math::tools::epsilon<T>() * 100, static_cast<T>(1e-14));
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(0, static_cast<T>(1)), static_cast<T>(1.L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1)), static_cast<T>(2.L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(2)), static_cast<T>(4.L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(10)), static_cast<T>(20), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(100)), static_cast<T>(200), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1e6)), static_cast<T>(2e6), tolerance);
+   if(std::numeric_limits<T>::max_exponent >= std::numeric_limits<double>::max_exponent)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1e307)), static_cast<T>(2e307), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(99, static_cast<T>(100)), static_cast<T>(4.967223743011310E+227L), tolerance);
+   }
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(30)), static_cast<T>(5.896624628001300E+17L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(1000)), static_cast<T>(1.023976960161280E+33L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(10)), static_cast<T>(8.093278209760000E+12L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(-10)), static_cast<T>(8.093278209760000E+12L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-10)), static_cast<T>(-7.880000000000000E+3L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-1000)), static_cast<T>(-7.999988000000000E+9L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-1000000)), static_cast<T>(-7.999999999988000E+18L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_heuman_lambda.cpp b/src/boost/libs/math/test/test_heuman_lambda.cpp
new file mode 100644
index 000000000..83709c635
--- /dev/null
+++ b/src/boost/libs/math/test/test_heuman_lambda.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_heuman_lambda.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_heuman_lambda.hpp b/src/boost/libs/math/test/test_heuman_lambda.hpp
new file mode 100644
index 000000000..023b2e712
--- /dev/null
+++ b/src/boost/libs/math/test/test_heuman_lambda.hpp
@@ -0,0 +1,75 @@
+// Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_heuman_lambda(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(HEUMAN_LAMBDA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef HEUMAN_LAMBDA_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = HEUMAN_LAMBDA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+   value_type(*fp2)(value_type, value_type) = boost::math::heuman_lambda;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "heuman_lambda", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 5> data1 = {{
+       { { SC_(0.25), SC_(0.5), SC_(0.231195544262270355901990821099667428154924832224446817213200) } },
+       { { SC_(-0.25), SC_(0.5), SC_(-0.231195544262270355901990821099667428154924832224446817213200) } },
+        { { SC_(0), SC_(0.5), SC_(0) } },
+        { { SC_(1), T(0.5), SC_(0.792745183008071035953588061452801838417979005666066982987549) } },
+        { { SC_(1), T(0), SC_(0.841470984807896506652502321630298999622563060798371065672751) } },
+    }};
+
+    do_test_heuman_lambda<T>(data1, type_name, "Elliptic Integral Jacobi Zeta: Mathworld Data");
+
+#include "heuman_lambda_data.ipp"
+
+    do_test_heuman_lambda<T>(heuman_lambda_data, type_name, "Elliptic Integral Heuman Lambda: Random Data");
+}
+
diff --git a/src/boost/libs/math/test/test_hyperexponential_dist.cpp b/src/boost/libs/math/test/test_hyperexponential_dist.cpp
new file mode 100644
index 000000000..f11c847e4
--- /dev/null
+++ b/src/boost/libs/math/test/test_hyperexponential_dist.cpp
@@ -0,0 +1,388 @@
+// Copyright 2014 Marco Guazzone (marco.guazzone@gmail.com).
+//
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+
+#include <algorithm>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/distributions/complement.hpp>
+#include <boost/math/distributions/hyperexponential.hpp>
+#include <boost/math/tools/precision.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <cstddef>
+#include <iostream>
+#include <vector>
+
+#define BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(T, actual, expected, tol) \
+    do {                                                                      \
+        std::vector<T> x = (actual);                                          \
+        std::vector<T> y = (expected);                                        \
+        BOOST_CHECK_EQUAL( x.size(), y.size() );                              \
+        const std::size_t n = x.size();                                       \
+        for (std::size_t i = 0; i < n; ++i)                                   \
+        {                                                                     \
+            BOOST_CHECK_CLOSE( x[i], y[i], tol );                             \
+        }                                                                     \
+    } while(false)
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+typedef boost::mpl::list<float, double, long double, boost::math::concepts::real_concept> test_types;
+#else
+typedef boost::mpl::list<float, double> test_types;
+#endif
+
+template <typename RealT>
+RealT make_tolerance()
+{
+    // Tolerance is 100eps expressed as a percentage (as required by Boost.Build):
+    return boost::math::tools::epsilon<RealT>() * 100 * 100;
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(klass, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    boost::math::hyperexponential_distribution<RealT> dist;
+    BOOST_CHECK_EQUAL(dist.num_phases(), 1);
+    BOOST_CHECK_CLOSE(dist.probabilities()[0], static_cast<RealT>(1L), tol);
+    BOOST_CHECK_CLOSE(dist.rates()[0], static_cast<RealT>(1L), tol);
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist_it(probs, probs+n, rates, rates+n);
+    BOOST_CHECK_EQUAL(dist_it.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_it.probabilities(), std::vector<RealT>(probs, probs+n), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_it.rates(), std::vector<RealT>(rates, rates+n), tol);
+    
+    boost::math::hyperexponential_distribution<RealT> dist_r(probs, rates);
+    BOOST_CHECK_EQUAL(dist_r.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_r.probabilities(), std::vector<RealT>(probs, probs+n), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_r.rates(), std::vector<RealT>(rates, rates+n), tol);
+    
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !(defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40500))
+    boost::math::hyperexponential_distribution<RealT> dist_il = {{static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L)}, {static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L)}};
+    BOOST_CHECK_EQUAL(dist_il.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_il.probabilities(), std::vector<RealT>(probs, probs+n), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_il.rates(), std::vector<RealT>(rates, rates+n), tol);
+
+    boost::math::hyperexponential_distribution<RealT> dist_n_r = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    BOOST_CHECK_EQUAL(dist_n_r.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r.probabilities(), std::vector<RealT>(n, static_cast<RealT>(1.0L / 3.0L)), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r.rates(), std::vector<RealT>(rates, rates + n), tol);
+#endif // BOOST_NO_CXX11_HDR_INITIALIZER_LIST
+
+    boost::math::hyperexponential_distribution<RealT> dist_n_it(rates, rates+n);
+    BOOST_CHECK_EQUAL(dist_n_it.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_it.probabilities(), std::vector<RealT>(n, static_cast<RealT>(1.0L/3.0L)), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_it.rates(), std::vector<RealT>(rates, rates+n), tol);
+
+    boost::math::hyperexponential_distribution<RealT> dist_n_r2(rates);
+    BOOST_CHECK_EQUAL(dist_n_r2.num_phases(), n);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r2.probabilities(), std::vector<RealT>(n, static_cast<RealT>(1.0L/3.0L)), tol);
+    BOOST_MATH_HYPEREXP_CHECK_CLOSE_COLLECTIONS(RealT, dist_n_r2.rates(), std::vector<RealT>(rates, rates+n), tol);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(range, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    std::pair<RealT,RealT> res;
+    res = boost::math::range(dist);
+
+    BOOST_CHECK_CLOSE( res.first, static_cast<RealT>(0), tol );
+    if(std::numeric_limits<RealT>::has_infinity)
+    {
+       BOOST_CHECK_EQUAL(res.second, std::numeric_limits<RealT>::infinity());
+    }
+    else
+    {
+       BOOST_CHECK_EQUAL(res.second, boost::math::tools::max_value<RealT>());
+    }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(support, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    std::pair<RealT,RealT> res;
+    res = boost::math::support(dist);
+
+    BOOST_CHECK_CLOSE( res.first, boost::math::tools::min_value<RealT>(), tol );
+    BOOST_CHECK_CLOSE( res.second, boost::math::tools::max_value<RealT>(), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pdf, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1), static_cast<RealT>(1.5) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[PDF[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], x], 35], {x, 0, 4}]
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(0)), static_cast<RealT>(1.15L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(1)), static_cast<RealT>(0.33836451843401841053899743762056570L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(2)), static_cast<RealT>(0.11472883036402599696225903724543774L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(3)), static_cast<RealT>(0.045580883928883895659238122486617681L), tol );
+    BOOST_CHECK_CLOSE( boost::math::pdf(dist, static_cast<RealT>(4)), static_cast<RealT>(0.020887284122781292094799231452333314L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cdf, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[CDF[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], x], 35], {x, 0, 4}]
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(0)), static_cast<RealT>(0), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(1)), static_cast<RealT>(0.65676495563182570433394272657131939L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(2)), static_cast<RealT>(0.86092999261079575662302418965093162L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(3)), static_cast<RealT>(0.93488334919083369807146961400871370L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(dist, static_cast<RealT>(4)), static_cast<RealT>(0.96619887559772402832156211090812241L), tol );
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(quantile, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[Quantile[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], p], 35], {p, {0.`35, 0.6567649556318257043339427265713193884067872189124925936717`35, 0.8609299926107957566230241896509316171726985139265620607067`35, 0.9348833491908336980714696140087136988562861627183715044229`35, 0.9661988755977240283215621109081224127091468307592751727719`35}}]
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0)), static_cast<RealT>(0), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.65676495563182570433394272657131939L)), static_cast<RealT>(1), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.86092999261079575662302418965093162L)), static_cast<RealT>(2), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.93488334919083369807146961400871370L)), static_cast<RealT>(3), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(dist, static_cast<RealT>(0.96619887559772402832156211090812241L)), static_cast<RealT>(4), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ccdf, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs)/sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[SurvivalFunction[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], x], 35], {x, 0, 4}]
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(0))), static_cast<RealT>(1), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(1))), static_cast<RealT>(0.34323504436817429566605727342868061L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(2))), static_cast<RealT>(0.13907000738920424337697581034906838L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(3))), static_cast<RealT>(0.065116650809166301928530385991286301L), tol );
+    BOOST_CHECK_CLOSE( boost::math::cdf(boost::math::complement(dist, static_cast<RealT>(4))), static_cast<RealT>(0.033801124402275971678437889091877587L), tol );
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cquantile, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: Table[N[InverseSurvivalFunction[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}], p], 35], {p, {1.`35, 0.3432350443681742956660572734286806115932127810875074063283`35, 0.1390700073892042433769758103490683828273014860734379392933`35, 0.0651166508091663019285303859912863011437138372816284955771`35, 0.0338011244022759716784378890918775872908531692407248272281`35}}]
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(1))), static_cast<RealT>(0), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.34323504436817429566605727342868061L))), static_cast<RealT>(1), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.13907000738920424337697581034906838L))), static_cast<RealT>(2), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.065116650809166301928530385991286301L))), static_cast<RealT>(3), tol );
+    BOOST_CHECK_CLOSE( boost::math::quantile(boost::math::complement(dist, static_cast<RealT>(0.033801124402275971678437889091877587L))), static_cast<RealT>(4), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mean, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Mean[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::mean(dist), static_cast<RealT>(1.0333333333333333333333333333333333L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(variance, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Variance[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::variance(dist), static_cast<RealT>(1.5766666666666666666666666666666667L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(kurtosis, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Kurtosis[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::kurtosis(dist), static_cast<RealT>(19.750738616808728416968743435138046L), tol );
+    // Mathematica: N[Kurtosis[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}] - 3.`35], 35]
+    BOOST_CHECK_CLOSE( boost::math::kurtosis_excess(dist), static_cast<RealT>(16.750738616808728416968743435138046L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(skewness, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    // Mathematica: N[Skewness[HyperexponentialDistribution[{1/5, 3/10, 1/2}, {1/2, 1, 3/2}]], 35]
+    BOOST_CHECK_CLOSE( boost::math::skewness(dist), static_cast<RealT>(3.1811387449963809211146099116375685L), tol );
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mode, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    const RealT probs[] = { static_cast<RealT>(0.2L), static_cast<RealT>(0.3L), static_cast<RealT>(0.5L) };
+    const RealT rates[] = { static_cast<RealT>(0.5L), static_cast<RealT>(1.0L), static_cast<RealT>(1.5L) };
+    const std::size_t n = sizeof(probs) / sizeof(RealT);
+
+    boost::math::hyperexponential_distribution<RealT> dist(probs, probs+n, rates, rates+n);
+
+    BOOST_CHECK_CLOSE( boost::math::mode(dist), static_cast<RealT>(0), tol );
+}
+
+template <class T>
+void f(T t)
+{
+   std::cout << typeid(t).name() << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE(construct)
+{
+   boost::array<double, 3> da1 = { { 0.5, 1, 1.5 } };
+   boost::array<double, 3> da2 = { { 0.25, 0.5, 0.25 } };
+   std::vector<double> v1(da1.begin(), da1.end());
+   std::vector<double> v2(da2.begin(), da2.end());
+
+   std::vector<double> result_v;
+   boost::math::hyperexponential he1(v2, v1);
+   result_v = he1.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he1.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+
+   boost::math::hyperexponential he2(da2, da1);
+   result_v = he2.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he2.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !(defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40500))
+   std::initializer_list<double> il = { 0.25, 0.5, 0.25 };
+   std::initializer_list<double> il2 = { 0.5, 1, 1.5 };
+   boost::math::hyperexponential he3(il, il2);
+   result_v = he3.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he3.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+
+   boost::math::hyperexponential he4({ 0.25, 0.5, 0.25 }, { 0.5, 1.0, 1.5 });
+   result_v = he4.rates();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v1.begin(), v1.end(), result_v.begin(), result_v.end());
+   result_v = he4.probabilities();
+   BOOST_CHECK_EQUAL_COLLECTIONS(v2.begin(), v2.end(), result_v.begin(), result_v.end());
+#endif
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(special_cases, RealT, test_types)
+{
+    const RealT tol = make_tolerance<RealT>();
+
+    // When the number of phases is 1, the hyperexponential distribution is an exponential distribution
+    const RealT rates1[] = { static_cast<RealT>(0.5L) };
+    boost::math::hyperexponential_distribution<RealT> hexp1(rates1);
+    boost::math::exponential_distribution<RealT> exp1(rates1[0]);
+    BOOST_CHECK_CLOSE(boost::math::pdf(hexp1, static_cast<RealT>(1L)), boost::math::pdf(exp1, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::cdf(hexp1, static_cast<RealT>(1L)), boost::math::cdf(exp1, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mean(hexp1), boost::math::mean(exp1), tol);
+    BOOST_CHECK_CLOSE(boost::math::variance(hexp1), boost::math::variance(exp1), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp1, static_cast<RealT>(0.25L)), boost::math::quantile(exp1, static_cast<RealT>(0.25L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::median(hexp1), boost::math::median(exp1), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp1, static_cast<RealT>(0.75L)), boost::math::quantile(exp1, static_cast<RealT>(0.75L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mode(hexp1), boost::math::mode(exp1), tol);
+
+    // When a k-phase hyperexponential distribution has all rates equal to r, the distribution is an exponential distribution with rate r
+    const RealT rate2 = static_cast<RealT>(0.5L);
+    const RealT rates2[] = { rate2, rate2, rate2 };
+    boost::math::hyperexponential_distribution<RealT> hexp2(rates2);
+    boost::math::exponential_distribution<RealT> exp2(rate2);
+    BOOST_CHECK_CLOSE(boost::math::pdf(hexp2, static_cast<RealT>(1L)), boost::math::pdf(exp2, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::cdf(hexp2, static_cast<RealT>(1L)), boost::math::cdf(exp2, static_cast<RealT>(1L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mean(hexp2), boost::math::mean(exp2), tol);
+    BOOST_CHECK_CLOSE(boost::math::variance(hexp2), boost::math::variance(exp2), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp2, static_cast<RealT>(0.25L)), boost::math::quantile(exp2, static_cast<RealT>(0.25L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::median(hexp2), boost::math::median(exp2), tol);
+    BOOST_CHECK_CLOSE(boost::math::quantile(hexp2, static_cast<RealT>(0.75L)), boost::math::quantile(exp2, static_cast<RealT>(0.75L)), tol);
+    BOOST_CHECK_CLOSE(boost::math::mode(hexp2), boost::math::mode(exp2), tol);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(error_cases, RealT, test_types)
+{
+   typedef boost::math::hyperexponential_distribution<RealT> dist_t;
+   boost::array<RealT, 2> probs = { { 1, 2 } };
+   boost::array<RealT, 3> probs2 = { { 1, 2, 3 } };
+   boost::array<RealT, 3> rates = { { 1, 2, 3 } };
+   BOOST_MATH_CHECK_THROW(dist_t(probs.begin(), probs.end(), rates.begin(), rates.end()), std::domain_error);
+   BOOST_MATH_CHECK_THROW(dist_t(probs, rates), std::domain_error);
+   rates[1] = 0;
+   BOOST_MATH_CHECK_THROW(dist_t(probs2, rates), std::domain_error);
+   rates[1] = -1;
+   BOOST_MATH_CHECK_THROW(dist_t(probs2, rates), std::domain_error);
+   BOOST_MATH_CHECK_THROW(dist_t(probs.begin(), probs.begin(), rates.begin(), rates.begin()), std::domain_error);
+   BOOST_MATH_CHECK_THROW(dist_t(rates.begin(), rates.begin()), std::domain_error);
+}
diff --git a/src/boost/libs/math/test/test_hypergeometric_dist.cpp b/src/boost/libs/math/test/test_hypergeometric_dist.cpp
new file mode 100644
index 000000000..12e9871ee
--- /dev/null
+++ b/src/boost/libs/math/test/test_hypergeometric_dist.cpp
@@ -0,0 +1,501 @@
+// Copyright John Maddock 2008
+// Copyright Paul A. Bristow 
+// Copyright Gautam Sewani
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/hypergeometric.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#define BOOST_CHECK_EX(a) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was with data ";\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "x = " << x << ", r = " << r << ", n = " << n\
+         << ", N = " << N << ", p = " << cp << ", q = " << ccp << std::endl;\
+      }\
+   }
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((boost::math::tools::digits<long double>() > boost::math::tools::digits<double>())
+      && (boost::math::tools::digits<long double>() < 100))
+   {
+      //
+      // Some split of errors from long double into double:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         "Random.*",                    // test data group
+         ".*", 1500, 1500);      // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                    // test data group
+         ".*", 10, 10);      // test function
+   }
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Random.*",                    // test data group
+      ".*", 250000000, 25000000);    // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Random.*",                    // test data group
+      ".*", 10000000, 5000000);      // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 50, 20);                 // test function
+}
+
+template <class T>
+inline unsigned make_unsigned(T x)
+{
+   return static_cast<unsigned>(x);
+}
+template<>
+inline unsigned make_unsigned(boost::math::concepts::real_concept x)
+{
+   return static_cast<unsigned>(x.value());
+}
+
+template <class T>
+T pdf_tester(T r, T n, T N, T x)
+{
+   boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+   return pdf(d, x);
+}
+
+template <class T>
+T cdf_tester(T r, T n, T N, T x)
+{
+   boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+   return cdf(d, x);
+}
+
+template <class T>
+T ccdf_tester(T r, T n, T N, T x)
+{
+   boost::math::hypergeometric_distribution<T> d(make_unsigned(r), make_unsigned(n), make_unsigned(N));
+   return cdf(complement(d, x));
+}
+
+template <class Real, class T>
+void do_test_hypergeometric(const T& data, const char* type_name, const char* test_name)
+{
+   // warning suppression:
+   (void)data;
+   (void)type_name;
+   (void)test_name;
+
+#if !defined(TEST_QUANT) || (TEST_QUANT == 0)
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = pdf_tester<value_type>;
+#else
+   pg funcp = pdf_tester;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test hypergeometric against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1, 2, 3), 
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric PDF", test_name);
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = cdf_tester<value_type>;
+#else
+   funcp = cdf_tester;
+#endif
+
+   //
+   // test hypergeometric against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1, 2, 3), 
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric CDF", test_name);
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = ccdf_tester<value_type>;
+#else
+   funcp = ccdf_tester;
+#endif
+
+   //
+   // test hypergeometric against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0, 1, 2, 3), 
+      extract_result<Real>(6));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric CDF complement", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_hypergeometric_quantile(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Checking quantiles with " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   if(boost::math::tools::digits<value_type>() > 50)
+   {
+      for(unsigned i = 0; i < data.size(); ++i)
+      {
+         using namespace boost::math::policies;
+
+         unsigned r = make_unsigned(data[i][0]);
+         unsigned n = make_unsigned(data[i][1]);
+         unsigned N = make_unsigned(data[i][2]);
+         unsigned x = make_unsigned(data[i][3]);
+         value_type cp = data[i][5];
+         value_type ccp = data[i][6];
+         //
+         // A bit of warning suppression:
+         //
+         (void)x;
+         (void)n;
+         (void)r;
+         (void)N;
+         (void)cp;
+         (void)ccp;
+
+#if !defined(TEST_QUANT) || (TEST_QUANT == 1)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_up> > > du(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(du, cp) >= x);
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(complement(du, ccp)) >= x);
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 2)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_down> > > dl(r, n, N);
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(dl, cp) <= x);
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(complement(dl, ccp)) <= x);
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 3)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_nearest> > > dn(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(dn, cp) == x);
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            BOOST_CHECK_EX(quantile(complement(dn, ccp)) == x);
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 4)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_outwards> > > dou(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            if(cp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(dou, cp) <= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(dou, cp) >= x);
+            }
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            if(ccp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(complement(dou, ccp)) >= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(complement(dou, ccp)) <= x);
+            }
+         }
+#endif
+#if !defined(TEST_QUANT) || (TEST_QUANT == 5)
+         boost::math::hypergeometric_distribution<value_type, 
+            policy<discrete_quantile<integer_round_inwards> > > di(r, n, N);
+
+         if((cp < 0.9) && (cp > boost::math::tools::min_value<value_type>()))
+         {
+            if(cp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(di, cp) >= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(di, cp) <= x);
+            }
+         }
+         if((ccp < 0.9) && (ccp > boost::math::tools::min_value<value_type>()))
+         {
+            if(ccp < 0.5)
+            {
+               BOOST_CHECK_EX(quantile(complement(di, ccp)) <= x);
+            }
+            else
+            {
+               BOOST_CHECK_EX(quantile(complement(di, ccp)) >= x);
+            }
+         }
+#endif
+      }
+   }
+}
+
+
+template <class RealType>
+void test_spot(unsigned x, unsigned n, unsigned r, unsigned N, 
+               RealType p, RealType cp, RealType ccp, RealType tol)
+{
+   //
+   // A bit of warning suppression:
+   //
+   (void)x;
+   (void)n;
+   (void)r;
+   (void)N;
+   (void)p;
+   (void)cp;
+   (void)ccp;
+   (void)tol;
+#if !defined(TEST_QUANT) || (TEST_QUANT == 0)
+   boost::math::hypergeometric_distribution<RealType> d(r, n, N);
+
+   std::pair<unsigned, unsigned> extent = range(d);
+   // CDF's:
+   BOOST_CHECK_CLOSE(pdf(d, x), p, tol);
+   BOOST_CHECK_CLOSE(cdf(d, x), cp, tol);
+   BOOST_CHECK_CLOSE(cdf(complement(d, x)), ccp, tol);
+   // Again with real-value arguments:
+   BOOST_CHECK_CLOSE(pdf(d, static_cast<RealType>(x)), p, tol);
+   BOOST_CHECK_CLOSE(cdf(d, static_cast<RealType>(x)), cp, tol);
+   BOOST_CHECK_CLOSE(cdf(complement(d, static_cast<RealType>(x))), ccp, tol);
+   //
+   // Quantiles, don't bother checking these for type float
+   // as there's not enough precision in the p and q values
+   // to get back to where we started:
+   //
+   if(boost::math::tools::digits<RealType>() > 50)
+   {
+      using namespace boost::math::policies;
+
+      boost::math::hypergeometric_distribution<RealType, 
+         policy<discrete_quantile<integer_round_up> > > du(r, n, N);
+
+      BOOST_CHECK_EX(quantile(du, cp) >= x);
+      BOOST_CHECK_EX(quantile(complement(du, ccp)) >= x);
+
+      boost::math::hypergeometric_distribution<RealType, 
+         policy<discrete_quantile<integer_round_down> > > dl(r, n, N);
+      BOOST_CHECK_EX(quantile(dl, cp) <= x);
+      BOOST_CHECK_EX(quantile(complement(dl, ccp)) <= x);
+
+      boost::math::hypergeometric_distribution<RealType, 
+         policy<discrete_quantile<integer_round_nearest> > > dn(r, n, N);
+
+      BOOST_CHECK_EX(quantile(dn, cp) == x);
+      BOOST_CHECK_EX(quantile(complement(dn, ccp)) == x);
+   }
+   //
+   // Error checking of out of bounds arguments:
+   //
+   BOOST_MATH_CHECK_THROW(pdf(d, extent.second + 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(d, extent.second + 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(d, extent.second + 1)), std::domain_error);
+   if(extent.first > 0)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(d, extent.first - 1), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(d, extent.first - 1), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(complement(d, extent.first - 1)), std::domain_error);
+   }
+   BOOST_MATH_CHECK_THROW(quantile(d, 1.1f), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, 1.1f)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(d, -0.001f), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, -0.001f)), std::domain_error);
+   //
+   // Checking of extreme values:
+   //
+   BOOST_CHECK_EQUAL(quantile(d, 0), extent.first);
+   BOOST_CHECK_EQUAL(quantile(d, 1), extent.second);
+   BOOST_CHECK_EQUAL(quantile(complement(d, 0)), extent.second);
+   BOOST_CHECK_EQUAL(quantile(complement(d, 1)), extent.first);
+   BOOST_CHECK_EQUAL(cdf(d, extent.second), 1);
+   BOOST_CHECK_EQUAL(cdf(complement(d, extent.second)), 0);
+#endif
+}
+
+template <class RealType>
+void test_spots(RealType /*T*/, const char* type_name)
+{
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // Test data taken from Mathematica 6
+#define T RealType
+#include "hypergeometric_test_data.ipp"
+   do_test_hypergeometric<T>(hypergeometric_test_data, type_name, "Mathematica data");
+
+#include "hypergeometric_dist_data2.ipp"
+   if(boost::is_floating_point<RealType>::value)
+   {
+      //
+      // Don't test this for real_concept: it's too slow!!!
+      //
+      do_test_hypergeometric<T>(hypergeometric_dist_data2, type_name, "Random large data");
+   }
+
+   do_test_hypergeometric_quantile<T>(hypergeometric_test_data, type_name, "Mathematica data");
+   if(boost::is_floating_point<RealType>::value)
+   {
+      //
+      // Don't test this for real_concept: it's too slow!!!
+      //
+      do_test_hypergeometric_quantile<T>(hypergeometric_dist_data2, type_name, "Random large data");
+   }
+
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(2e-16L),    // limit of test data
+      boost::math::tools::epsilon<RealType>());
+   cout<<"Absolute tolerance:"<<tolerance<<endl;
+   
+   tolerance *= 50 * 100; // 50eps as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   //
+   // These sanity check values were calculated using the online
+   // calculator at http://stattrek.com/Tables/Hypergeometric.aspx
+   // It's assumed that the test values are accurate to no more than
+   // double precision.
+   //
+   test_spot(20, 200, 50, 500, static_cast<T>(0.120748236361163), static_cast<T>(0.563532430195156), static_cast<T>(1 - 0.563532430195156), tolerance);
+   test_spot(53, 452, 64, 500, static_cast<T>(0.0184749573044286), static_cast<T>(0.0299118078796907), static_cast<T>(1 - 0.0299118078796907), tolerance);
+   test_spot(32, 1287, 128, 5000, static_cast<T>(0.0807012167418264), static_cast<T>(0.469768774237742), static_cast<T>(1 - 0.469768774237742), tolerance);
+   test_spot(1, 13, 4, 26, static_cast<T>(0.248695652173913), static_cast<T>(0.296521739130435), static_cast<T>(1 - 0.296521739130435), tolerance);
+   test_spot(2, 13, 4, 26, static_cast<T>(0.40695652173913), static_cast<T>(0.703478260869565), static_cast<T>(1 - 0.703478260869565), tolerance);
+   test_spot(3, 13, 4, 26, static_cast<T>(0.248695652173913), static_cast<T>(0.952173913043478), static_cast<T>(1 - 0.952173913043478), tolerance);
+   test_spot(40, 70, 89, 170, static_cast<T>(0.0721901023798991), static_cast<T>(0.885447799131944), static_cast<T>(1 - 0.885447799131944), tolerance);
+
+   boost::math::hypergeometric_distribution<RealType> d(50, 200, 500);
+   BOOST_CHECK_EQUAL(range(d).first, 0u);
+   BOOST_CHECK_EQUAL(range(d).second, 50u);
+   BOOST_CHECK_CLOSE(mean(d), static_cast<RealType>(20), tolerance);
+   BOOST_CHECK_CLOSE(mode(d), static_cast<RealType>(20), tolerance);
+   BOOST_CHECK_CLOSE(variance(d), static_cast<RealType>(10.821643286573146292585170340681L), tolerance);
+   BOOST_CHECK_CLOSE(skewness(d), static_cast<RealType>(0.048833071022952084732902910189366L), tolerance);
+   BOOST_CHECK_CLOSE(kurtosis_excess(d), static_cast<RealType>(2.5155486690782804816404001878293L), tolerance);
+   BOOST_CHECK_CLOSE(kurtosis(d), kurtosis_excess(d) + 3, tolerance);
+   BOOST_CHECK_EQUAL(quantile(d, 0.5f), median(d));
+
+   BOOST_MATH_CHECK_THROW(d = boost::math::hypergeometric_distribution<RealType>(501, 40, 500), std::domain_error);
+   BOOST_MATH_CHECK_THROW(d = boost::math::hypergeometric_distribution<RealType>(40, 501, 500), std::domain_error);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F, "float"); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+   test_spots(0.0, "double"); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double"); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0), "real_concept"); // Test real_concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_ibeta.cpp b/src/boost/libs/math/test/test_ibeta.cpp
new file mode 100644
index 000000000..5bd4d158c
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta.cpp
@@ -0,0 +1,332 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ibeta.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta functions beta, 
+// betac, ibeta and ibetac.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Darwin: just one special case for real_concept:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 400000, 50000);             // test function
+
+   //
+   // Linux - results depend quite a bit on the
+   // processor type, and how good the std::pow
+   // function is for that processor.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*small.*",                  // test data group
+      ".*", 350, 100);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 300, 80);  // test function
+   //
+   // Deficiencies in pow function really kick in here for
+   // large arguments.  Note also that the tests here get
+   // *very* extreme due to the increased exponent range
+   // of 80-bit long doubles.  Also effect Mac OS.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux|Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 10000);                 // test function
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux|Mac OS|Sun.*",             // platform
+      "double",                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 40, 20);                 // test function
+#endif
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux|Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 350, 100);  // test function
+
+   //
+   // HP-UX:
+   //
+   // Large value tests include some with *very* extreme
+   // results, thanks to the large exponent range of
+   // 128-bit long doubles.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 10000);                 // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 130000, 10000);                 // test function
+   //
+   // Sun OS:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 130000, 10000);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*small.*",                      // test data group
+      ".*", 130, 30);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 250, 40);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                 // test data group
+      ".*", 250, 40);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                     // test type(s)
+      "(?i).*small.*",                      // test data group
+      ".*", 130, 30);                 // test function
+   //
+   // MinGW:
+   //
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 400, 50);  // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "double",                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 20, 10);                 // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 10000);                 // test function
+
+#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   //
+   // No long doubles:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      BOOST_PLATFORM,                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 13000, 500);                 // test function
+#endif
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*small.*",                  // test data group
+      ".*", 90, 25);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 350, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 5000, 500);                 // test function
+
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*small.*",                      // test data group
+      ".*", 90, 25);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*medium.*",                     // test data group
+      ".*", 250, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "(?i).*large.*",                      // test data group
+      ".*", 200000, 50000);             // test function
+
+   // catch all default is 2eps for all types:
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "[^|]*",                          // test type(s)
+      "[^|]*",                          // test data group
+      ".*", 2, 2);                      // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+#ifdef TEST_FLOAT
+   test_spots(0.0F);
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L);
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
+
diff --git a/src/boost/libs/math/test/test_ibeta.hpp b/src/boost/libs/math/test/test_ibeta.hpp
new file mode 100644
index 000000000..b581ce988
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta.hpp
@@ -0,0 +1,442 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_beta(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#ifdef BETA_INC_FUNCTION_TO_TEST
+   pg funcp = BETA_INC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::beta<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::beta;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_INC_FUNCTION_TO_TEST))
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test beta against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete)", test_name);
+#endif
+
+#ifdef BETAC_INC_FUNCTION_TO_TEST
+   funcp = BETAC_INC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::betac<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::betac;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETAC_INC_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "betac", test_name);
+#endif
+#ifdef IBETA_FUNCTION_TO_TEST
+   funcp = IBETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibeta<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibeta;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta", test_name);
+#endif
+#ifdef IBETAC_FUNCTION_TO_TEST
+   funcp = IBETAC_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac;
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETAC_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(6));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_beta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_small_data.ipp"
+
+   do_test_beta<T>(ibeta_small_data, name, "Incomplete Beta Function: Small Values");
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_data.ipp"
+
+   do_test_beta<T>(ibeta_data, name, "Incomplete Beta Function: Medium Values");
+
+#endif
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_large_data.ipp"
+
+   do_test_beta<T>(ibeta_large_data, name, "Incomplete Beta Function: Large and Diverse Values");
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 4)
+#  include "ibeta_int_data.ipp"
+
+   do_test_beta<T>(ibeta_int_data, name, "Incomplete Beta Function: Small Integer Values");
+#endif
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // basic sanity checks, tolerance is 30 epsilon expressed as a percentage:
+   // Spot values are from http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=BetaRegularized
+   // using precision of 50 decimal digits.
+   T tolerance = boost::math::tools::epsilon<T>() * 3000;
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(159) / 10000, //(0.015964560210704803L),
+         static_cast<T>(1184) / 1000000000L,//(1.1846856068586931e-005L),
+         static_cast<T>(6917) / 10000),//(0.69176378846168518L)),
+      static_cast<T>(0.000075393541456247525676062058821484095548666733251733L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4243) / 100,//(42.434902191162109L),
+         static_cast<T>(3001) / 10000, //(0.30012050271034241L),
+         static_cast<T>(9157) / 10000), //(0.91574394702911377L)),
+      static_cast<T>(0.0028387319012616013434124297160711532419664289474798L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(9713) / 1000, //(9.7131776809692383L),
+         static_cast<T>(9940) / 100, //(99.406852722167969L),
+         static_cast<T>(8391) / 100000), //(0.083912998437881470L)),
+      static_cast<T>(0.46116895440368248909937863372410093344466819447476L), tolerance * 2);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(72.5),
+         static_cast<T>(1.125),
+         static_cast<T>(0.75)),
+      static_cast<T>(1.3423066982487051710597194786268004978931316494920e-9L), tolerance*3); // extra tolerance needed on linux X86EM64
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4985)/1000, //(4.9854421615600586L),
+         static_cast<T>(1066)/1000, //(1.0665277242660522L),
+         static_cast<T>(7599)/10000), //(0.75997146964073181L)),
+      static_cast<T>(0.27533431334486812211032939156910472371928659321347L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(6813)/1000, //(6.8127136230468750L),
+         static_cast<T>(1056)/1000, //(1.0562920570373535L),
+         static_cast<T>(1741)/10000), //(0.17416560649871826L)),
+      static_cast<T>(7.6736128722762245852815040810349072461658078840945e-6L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4898)/10000, //(0.48983201384544373L),
+         static_cast<T>(2251)/10000, //(0.22512593865394592L),
+         static_cast<T>(2003)/10000), //(0.20032680034637451L)),
+      static_cast<T>(0.17089223868046209692215231702890838878342349377008L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4049)/1000, //(4.0498137474060059L),
+         static_cast<T>(1540)/10000, //(0.15403440594673157L),
+         static_cast<T>(6537)/10000), //(0.65370121598243713L)),
+      static_cast<T>(0.017273988301528087878279199511703371301647583919670L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(7269)/1000, //(7.2695474624633789L),
+         static_cast<T>(1190)/10000, //(0.11902070045471191L),
+         static_cast<T>(8003)/10000), //(0.80036874115467072L)),
+      static_cast<T>(0.013334694467796052900138431733772122625376753696347L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(2726)/1000, //(2.7266697883605957L),
+         static_cast<T>(1151)/100000, //(0.011510574258863926L),
+         static_cast<T>(8665)/100000), //(0.086654007434844971L)),
+      static_cast<T>(5.8218877068298586420691288375690562915515260230173e-6L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(3431)/10000, //(0.34317314624786377L),
+         static_cast<T>(4634)/100000, //0.046342257410287857L),
+         static_cast<T>(7582)/10000), //(0.75823287665843964L)),
+      static_cast<T>(0.15132819929418661038699397753916091907278005695387L), tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(0)),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(0)),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(1)),
+      static_cast<T>(1), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.34317314624786377L),
+         static_cast<T>(0.046342257410287857L),
+         static_cast<T>(1)),
+      static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(1),
+         static_cast<T>(4634)/100000, //(0.046342257410287857L),
+         static_cast<T>(32)/100),
+      static_cast<T>(0.017712849440718489999419956301675684844663359595318L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(4634)/100000, //(0.046342257410287857L),
+         static_cast<T>(1),
+         static_cast<T>(32)/100),
+      static_cast<T>(0.94856839398626914764591440181367780660208493234722L), tolerance);
+
+   // try with some integer arguments:
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(3),
+         static_cast<T>(8),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.474407196044921875000000000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(6),
+         static_cast<T>(8),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.0802125930786132812500000000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(12),
+         static_cast<T>(1),
+         static_cast<T>(0.25)),
+      static_cast<T>(5.96046447753906250000000000000000000000000000000000000000000e-8L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(1),
+         static_cast<T>(8),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.899887084960937500000000000000000000000000000000000000000000L), tolerance);
+
+   // very naive check on derivative:
+   using namespace std;  // For ADL of std functions
+   tolerance = boost::math::tools::epsilon<T>() * 10000; // 100 eps
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_derivative(
+         static_cast<T>(2),
+         static_cast<T>(3),
+         static_cast<T>(0.5)),
+         pow(static_cast<T>(0.5), static_cast<T>(2)) * pow(static_cast<T>(0.5), static_cast<T>(1)) / boost::math::beta(static_cast<T>(2), static_cast<T>(3)), tolerance);
+
+   //
+   // Special cases and error handling:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::ibeta(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), static_cast<T>(1));
+   BOOST_CHECK_EQUAL(::boost::math::ibeta(static_cast<T>(3), static_cast<T>(0), static_cast<T>(0.5)), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::ibetac(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::ibetac(static_cast<T>(4), static_cast<T>(0), static_cast<T>(0.5)), static_cast<T>(1));
+
+   BOOST_MATH_CHECK_THROW(::boost::math::beta(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::beta(static_cast<T>(3), static_cast<T>(0), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::betac(static_cast<T>(0), static_cast<T>(2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::betac(static_cast<T>(4), static_cast<T>(0), static_cast<T>(0.5)), std::domain_error);
+
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(0), static_cast<T>(0), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(-1), static_cast<T>(2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(2), static_cast<T>(-2), static_cast<T>(0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(2), static_cast<T>(2), static_cast<T>(-0.5)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(::boost::math::ibetac(static_cast<T>(2), static_cast<T>(2), static_cast<T>(1.5)), std::domain_error);
+
+   //
+   // a = b = 0.5 is a special case:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.25)),
+      static_cast<T>(1) / 3, tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.25)),
+      static_cast<T>(2) / 3, tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.230053456162615885213780567705142893009911395270714102055874L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.769946543837384114786219432294857106990088604729285897944125L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.725231121519469565327291851560156562956885802608457839260161L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(0.5f),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.274768878480530434672708148439843437043114197391542160739838L), tolerance);
+   //
+   // Second argument is 1 is a special case, see http://functions.wolfram.com/GammaBetaErf/BetaRegularized/03/01/01/
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(0.5f),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.908295106229247499626759842915458109758420750043003849691665L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(0.5f),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.091704893770752500373240157084541890241579249956996150308334L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+         static_cast<T>(30),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.003116150729395132012981654047222541793435357905008020740211L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac(
+         static_cast<T>(30),
+         static_cast<T>(1),
+         static_cast<T>(0.825L)),
+      static_cast<T>(0.996883849270604867987018345952777458206564642094991979259788L), tolerance);
+
+   //
+   // Bug cases from Rocco Romeo:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(2),
+      static_cast<T>(24),
+      ldexp(static_cast<T>(1), -52)),
+      static_cast<T>(2.46519032881565349871772482100516780410072110983579277754743e-32L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(2),
+      static_cast<T>(24),
+      ldexp(static_cast<T>(1), -52)),
+      static_cast<T>(1.47911419728939209923063489260310068246043266590147566652846e-29L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(3),
+      static_cast<T>(2),
+      ldexp(static_cast<T>(1), -270)),
+      static_cast<T>(4.88182556606650701438035298707052523938789614661168065734809e-245L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+      static_cast<T>(2),
+      static_cast<T>(31),
+      ldexp(static_cast<T>(1), -373)),
+      static_cast<T>(1.35080680244581673116149460571129957689952846520037541640260e-225L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(3),
+      static_cast<T>(2),
+      ldexp(static_cast<T>(1), -270)),
+      static_cast<T>(5.85819067927980841725642358448463028726547537593401678881771e-244L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta(
+      static_cast<T>(2),
+      static_cast<T>(31),
+      ldexp(static_cast<T>(1), -373)),
+      static_cast<T>(1.34000034802625019731220264886560918028433223747877241307138e-222L), tolerance);
+   //
+   // Bug cases from Rocco Romeo:
+   //
+   BOOST_CHECK_CLOSE(
+      ::boost::math::beta(
+         static_cast<T>(2),
+         static_cast<T>(4),
+         ldexp(static_cast<T>(1 + static_cast<T>(1.0) / 1024), -351)),
+      static_cast<T>(2.381008060978474962211278613067275529112106932635520021e-212L), tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::beta(
+            static_cast<T>(2),
+            static_cast<T>(4),
+            ldexp(static_cast<T>(1 + static_cast<T>(1.0) / 2048), -351)),
+         static_cast<T>(2.378685692854274898232669682422430136513931911501225435e-212L), tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta(
+            static_cast<T>(3),
+            static_cast<T>(5),
+            ldexp(static_cast<T>(1 + static_cast<T>(15) / 16), -268)),
+            static_cast<T>(2.386034198603463687323052353589201848077110231388968865e-240L), tolerance);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(4.23957586190238472641508753637420672781472122471791800210e-167L), tolerance * 4);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4.5),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(5.24647512910420109893867082626308082567071751558842352760e-167L), tolerance * 20);
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_derivative.cpp b/src/boost/libs/math/test/test_ibeta_derivative.cpp
new file mode 100644
index 000000000..27184ff5e
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_derivative.cpp
@@ -0,0 +1,188 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+#if defined(__GNUC__)
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wliteral-range"
+#endif
+#include <pch_light.hpp>
+#include "test_ibeta_derivative.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta functions beta,
+// betac, ibeta and ibetac.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*Medium.*",                  // test data group
+         ".*", 200000, 7000);              // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "real_concept",                   // test type(s)
+         "[^|]*Large.*",                   // test data group
+         ".*", 300000, 10000);             // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*Large.*",                   // test data group
+         ".*", 80000, 5000);               // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*Integer.*",                 // test data group
+         ".*", 30000, 1500);               // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*Large.*",                   // test data group
+         ".*", 3300, 200);                 // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*",                          // test data group
+         ".*", 200, 50);                   // test function
+   }
+
+   // catch all default is 2eps for all types:
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*large.*",                   // test data group
+      ".*", 200000, 6000);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large.*",                   // test data group
+      ".*", 3300, 200);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      ".*", 300, 100);                  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+#ifdef TEST_FLOAT
+   test_spots(0.0F);
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L);
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
+#if defined(__GNUC__)
+#pragma GCC diagnostic pop
+#endif
diff --git a/src/boost/libs/math/test/test_ibeta_derivative.hpp b/src/boost/libs/math/test/test_ibeta_derivative.hpp
new file mode 100644
index 000000000..5bc7be584
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_derivative.hpp
@@ -0,0 +1,134 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+T ibeta_forwarder(T a, T b, T x)
+{
+   T derivative;
+   boost::math::detail::ibeta_imp(a, b, x, boost::math::policies::policy<>(), false, true, &derivative);
+   return derivative;
+}
+
+template <class Real, class T>
+void do_test_beta(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::ibeta_derivative<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::ibeta_derivative;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_INC_FUNCTION_TO_TEST))
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test ibeta_derivative against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete)", test_name);
+#endif
+
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = ibeta_forwarder<value_type>;
+#else
+   funcp = ibeta_forwarder;
+#endif
+
+   if(boost::math::tools::digits<value_type>() > 40)
+   {
+      //
+      // test ibeta_derivative against data:
+      //
+      result = boost::math::tools::test_hetero<Real>(
+         data,
+         bind_func<Real>(funcp, 0, 1, 2),
+         extract_result<Real>(3));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete, internal call test)", test_name);
+   }
+}
+
+template <class T>
+void test_beta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_derivative_small_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_small_data, name, "Incomplete Beta Function Derivative: Small Values");
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_derivative_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_data, name, "Incomplete Beta Function Derivative: Medium Values");
+
+#endif
+#ifndef __SUNPRO_CC
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_derivative_large_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_large_data, name, "Incomplete Beta Function Derivative: Large and Diverse Values");
+#endif
+#endif
+#if !defined(TEST_DATA) || (TEST_DATA == 4)
+#  include "ibeta_derivative_int_data.ipp"
+
+   do_test_beta<T>(ibeta_derivative_int_data, name, "Incomplete Beta Function Derivative: Small Integer Values");
+#endif
+}
+
+template <class T>
+void test_spots(T)
+{
+   using std::ldexp;
+   T tolerance = boost::math::tools::epsilon<T>() * 40000;
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(4.23957586190238472641508753637420672781472122471791800210e-167L), tolerance * 4);
+      BOOST_CHECK_CLOSE(
+         ::boost::math::ibeta_derivative(
+            static_cast<T>(2),
+            static_cast<T>(4.5),
+            ldexp(static_cast<T>(1), -557)),
+         static_cast<T>(5.24647512910420109893867082626308082567071751558842352760e-167L), tolerance * 4);
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv.cpp b/src/boost/libs/math/test/test_ibeta_inv.cpp
new file mode 100644
index 000000000..7e4b407c5
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv.cpp
@@ -0,0 +1,222 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include"test_ibeta_inv.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta function inverses 
+// ibeta_inv and ibetac_inv. There are three sets of tests:
+// 1) Spot tests which compare our results with selected values 
+// computed using the online special function calculator at 
+// functions.wolfram.com, 
+// 2) TODO!!!! Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 3) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   // Note that permitted max errors are really pretty high
+   // at around 10000eps.  The reason for this is that even 
+   // if the forward function is off by 1eps, it's enough to
+   // throw out the inverse by ~7000eps.  In other words the
+   // forward function may flatline, so that many x-values
+   // all map to about the same p.  Trying to invert in this
+   // region is almost futile.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   //
+   // Linux etc,
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   if(std::numeric_limits<long double>::digits == 64)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                       // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 20, 10);            // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                       // platform
+         "long double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 200000, 100000);            // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                // test type(s)
+         ".*",                          // test data group
+         ".*", 5000000L, 500000);         // test function
+   }
+#endif
+   //
+   // MinGW,
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "double",                // test type(s)
+      ".*",                          // test data group
+      ".*", 10, 10);         // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                // test type(s)
+      ".*",                          // test data group
+      ".*", 300000, 20000);         // test function
+
+   //
+   // HP-UX and Solaris:
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",           // platform
+      "long double",                 // test type(s)
+      ".*",                          // test data group
+      ".*", 200000, 100000);         // test function
+
+   //
+   // HP Tru64:
+   // Extended exponent range of long double
+   // causes more extreme test cases to be executed:
+   //
+   add_expected_result(
+      "HP Tru64.*",                  // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "long double",                 // test type(s)
+      ".*",                          // test data group
+      ".*", 200000, 100000);         // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 10000, 1000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 500000, 500000);         // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   expected_results();
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+#ifdef TEST_FLOAT
+   test_spots(0.0F);
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L);
+#endif
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv.hpp b/src/boost/libs/math/test/test_ibeta_inv.hpp
new file mode 100644
index 000000000..6787fdb93
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv.hpp
@@ -0,0 +1,274 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void test_inverses(const T& data)
+{
+   using namespace std;
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+      else if((1 - Real(data[i][5]) > 0.001) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE(Real(data[i][2]), inv, precision);
+      }
+      else if(1 == Real(data[i][5]))
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+
+      if(Real(data[i][6]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6])), value_type(1));
+      else if((1 - Real(data[i][6]) > 0.001) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6]));
+         BOOST_CHECK_CLOSE(Real(data[i][2]), inv, precision);
+      }
+      else if(Real(data[i][6]) == 1)
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6])), value_type(0));
+   }
+}
+
+template <class Real, class T>
+void test_inverses2(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_INV_FUNCTION_TO_TEST))
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#ifdef IBETA_INV_FUNCTION_TO_TEST
+   pg funcp = IBETA_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::ibeta_inv<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::ibeta_inv;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test ibeta_inv(T, T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_inv", test_name);
+   //
+   // test ibetac_inv(T, T, T) against data:
+   //
+#ifdef IBETAC_INV_FUNCTION_TO_TEST
+   funcp = IBETAC_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac_inv<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_inv", test_name);
+#endif
+}
+
+
+template <class T>
+void test_beta(T, const char* name)
+{
+#if !defined(ERROR_REPORTING_MODE)
+   (void)name;
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_small_data.ipp"
+
+   test_inverses<T>(ibeta_small_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_data.ipp"
+
+   test_inverses<T>(ibeta_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_large_data.ipp"
+
+   test_inverses<T>(ibeta_large_data);
+#endif
+
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 4)
+#  include "ibeta_inv_data.ipp"
+
+   test_inverses2<T>(ibeta_inv_data, name, "Inverse incomplete beta");
+#endif
+}
+
+template <class T>
+void test_spots(T)
+{
+   BOOST_MATH_STD_USING
+   //
+   // basic sanity checks, tolerance is 100 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 10000;
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(1),
+         static_cast<T>(2),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.29289321881345247559915563789515096071516406231153L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(3),
+         static_cast<T>(0.5),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.92096723292382700385142816696980724853063433975470L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(20.125),
+         static_cast<T>(0.5),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.98862133312917003480022776106012775747685870929920L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(40),
+         static_cast<T>(80),
+         static_cast<T>(0.5)),
+      static_cast<T>(0.33240456430025026300937492802591128972548660643778L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(40),
+         static_cast<T>(0.5),
+         ldexp(T(1), -30)),
+      static_cast<T>(0.624305407878048788716096298053941618358257550305573588792717L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(40),
+         static_cast<T>(0.5),
+         static_cast<T>(1 - ldexp(T(1), -30))),
+      static_cast<T>(0.99999999999999999998286262026583217516676792408012252456039L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(40),
+         static_cast<T>(ldexp(T(1), -30))),
+      static_cast<T>(1.713737973416782483323207591987747543960774485649459249e-20L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(0.75),
+         static_cast<T>(ldexp(T(1), -30))),
+      static_cast<T>(1.245132488513853853809715434621955746959615015005382639e-18L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(0.5),
+         static_cast<T>(0.25)),
+      static_cast<T>(0.1464466094067262377995778189475754803575820311557629L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.5),
+         static_cast<T>(0.5),
+         static_cast<T>(0.75)),
+      static_cast<T>(0.853553390593273762200422181052424519642417968844237018294169L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(1),
+         static_cast<T>(5),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.026352819384831863473794894078665766580641189002729204514544L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(5),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.659753955386447129687000985614820066516734506596709340752903L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(1),
+         static_cast<T>(0.125),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.656391084194183349609374999999999999999999999999999999999999L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibeta_inv(
+         static_cast<T>(0.125),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(5.960464477539062500000e-8), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(5),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.973647180615168136526205105921334233419358810997270795485455L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(1),
+         static_cast<T>(5),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.340246044613552870312999014385179933483265493403290659247096L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(0.125),
+         static_cast<T>(1),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.343608915805816650390625000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::ibetac_inv(
+         static_cast<T>(1),
+         static_cast<T>(0.125),
+         static_cast<T>(0.125)),
+      static_cast<T>(0.99999994039535522460937500000000000000000000000L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv_ab.cpp b/src/boost/libs/math/test/test_ibeta_inv_ab.cpp
new file mode 100644
index 000000000..c1acb2d1c
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv_ab.cpp
@@ -0,0 +1,131 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_ibeta_inv_ab.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete beta function inverses 
+// ibeta_inva and ibetac_inva. There are three sets of tests:
+// 1) TODO!!!! Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 2) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3000, 500);               // test function
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 500, 500);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "float|double",                // test type(s)
+      ".*",                          // test data group
+      ".*", 5, 3);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 1000000, 500000);        // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+
+#ifdef TEST_FLOAT
+   test_beta(0.1F, "float");
+#endif
+#ifdef TEST_DOUBLE
+   test_beta(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_beta(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
diff --git a/src/boost/libs/math/test/test_ibeta_inv_ab.hpp b/src/boost/libs/math/test/test_ibeta_inv_ab.hpp
new file mode 100644
index 000000000..e270010e1
--- /dev/null
+++ b/src/boost/libs/math/test/test_ibeta_inv_ab.hpp
@@ -0,0 +1,216 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#ifdef TEST_GSL
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_message.h>
+#endif
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void test_inverses(const T& data)
+{
+   using namespace std;
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
+      }
+      else if((1 - Real(data[i][5]) > 0.001) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision);
+         inv = boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision);
+      }
+      else if(1 == Real(data[i][5]))
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      }
+
+      if(Real(data[i][6]) == 0)
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      }
+      else if((1 - Real(data[i][6]) > 0.001) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6]));
+         BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision);
+         inv = boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6]));
+         BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision);
+      }
+      else if(Real(data[i][6]) == 1)
+      {
+         BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+         BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>());
+      }
+   }
+}
+
+template <class Real, class T>
+void test_inverses2(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_INVA_FUNCTION_TO_TEST))
+   //typedef typename T::value_type row_type;
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type, value_type);
+#ifdef IBETA_INVA_FUNCTION_TO_TEST
+   pg funcp = IBETA_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::ibeta_inva<value_type, value_type, value_type>;
+#else
+   pg funcp = boost::math::ibeta_inva;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test ibeta_inva(T, T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_inva", test_name);
+   //
+   // test ibetac_inva(T, T, T) against data:
+   //
+#ifdef IBETAC_INVA_FUNCTION_TO_TEST
+   funcp = IBETAC_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac_inva<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac_inva;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_inva", test_name);
+   //
+   // test ibeta_invb(T, T, T) against data:
+   //
+#ifdef IBETA_INVB_FUNCTION_TO_TEST
+   funcp = IBETA_INVB_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibeta_invb<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibeta_invb;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_invb", test_name);
+   //
+   // test ibetac_invb(T, T, T) against data:
+   //
+#ifdef IBETAC_INVB_FUNCTION_TO_TEST
+   funcp = IBETAC_INVB_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::ibetac_invb<value_type, value_type, value_type>;
+#else
+   funcp = boost::math::ibetac_invb;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(6));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_invb", test_name);
+#endif
+}
+
+template <class T>
+void test_beta(T, const char* name)
+{
+#if !defined(ERROR_REPORTING_MODE)
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+   std::cout << "Running sanity checks for type " << name << std::endl;
+
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#  include "ibeta_small_data.ipp"
+
+   test_inverses<T>(ibeta_small_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#  include "ibeta_data.ipp"
+
+   test_inverses<T>(ibeta_data);
+#endif
+
+#if !defined(TEST_DATA) || (TEST_DATA == 3)
+#  include "ibeta_large_data.ipp"
+
+   test_inverses<T>(ibeta_large_data);
+#endif
+#endif
+
+#if !defined(TEST_REAL_CONCEPT) || defined(FULL_TEST) || (TEST_DATA == 4)
+   if(boost::is_floating_point<T>::value){
+   //
+   // This accuracy test is normally only enabled for "real"
+   // floating point types and not for class real_concept.
+   // The reason is that these tests are exceptionally slow
+   // to complete when T doesn't have Lanczos support defined for it.
+   //
+#  include "ibeta_inva_data.ipp"
+
+   test_inverses2<T>(ibeta_inva_data, name, "Inverse incomplete beta");
+   }
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_igamma.cpp b/src/boost/libs/math/test/test_igamma.cpp
new file mode 100644
index 000000000..c016603de
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma.cpp
@@ -0,0 +1,377 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_igamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete gamma functions tgamma,
+// tgamma_lower, gamma_p and gamma_q. There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   // These should not really be needed, but on *some* Linux
+   // versions these error rates are quite large and appear to
+   // be related to the accuracy of powl and expl.  On Itanium
+   // or Xeon machines the error rates are much lower than this.
+   // Worst cases appear to be AMD64 machines.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1300, 200);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      ".*Solaris.*",                    // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1000, 200);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 1300, 200);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1300, 200);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 600, 200);                // test function
+
+   //
+   // Mac OS X:
+   // It's not clear why these should be required, but see notes above
+   // about Linux.
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 5000, 1000);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",               // test data group
+      "[^|]*", 80, 40);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 2000, 300);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 5000, 1000);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*small[^|]*",               // test data group
+      "[^|]*", 75, 15);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 2000, 300);                // test function
+   //
+   // HP-UX:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 50);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 100);                // test function
+   //
+   // Sun OS:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 100);               // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      "[^|]*", 100, 30);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 500, 100);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Sun.*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",               // test data group
+      "[^|]*", 100, 30);                // test function
+
+   //
+   // Mac OS X:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 100, 50);                 // test function
+
+   //
+   // Minw:
+   //
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1300, 200);               // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 700, 200);                 // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      "[^|]*", 100, 50);                  // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 120, 50);                   // test function
+   add_expected_result(
+      "GNU[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 100, 50);                    // test function
+
+   //
+   // Large exponent range causes more extreme test cases to be evaluated:
+   //
+   if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         ".*", 40000, 3000);  // test function
+   }
+
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 50, 20);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      "[^|]*", 20, 10);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "gamma_q", 500, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Cygwin",                         // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "gamma_p", 700, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "gamma_p", 350, 50);  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 20, 10);                    // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1500, 400);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      ".*", 100, 20);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      ".*", 1000000, 100000);        // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*integer[^|]*",              // test data group
+      ".*", 200, 40);                    // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F);
+#endif
+   test_spots(0.0);
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L);
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1));
+#endif
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_gamma(0.1F, "float");
+#endif
+   test_gamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_gamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_igamma.hpp b/src/boost/libs/math/test/test_igamma.hpp
new file mode 100644
index 000000000..cdfa0b4c7
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma.hpp
@@ -0,0 +1,253 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_gamma_2(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+   pg funcp;
+
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(IGAMMA_FUNCTION_TO_TEST))
+
+#ifdef IGAMMA_FUNCTION_TO_TEST
+   funcp = IGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::tgamma<value_type, value_type>;
+#else
+   funcp = boost::math::tgamma;
+#endif
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma(T, T) against data:
+   //
+   if(Real(data[0][2]) > 0)
+   {
+      result = boost::math::tools::test_hetero<Real>(
+         data,
+         bind_func<Real>(funcp, 0, 1),
+         extract_result<Real>(2));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma (incomplete)", test_name);
+      //
+      // test tgamma_lower(T, T) against data:
+      //
+#ifdef IGAMMAL_FUNCTION_TO_TEST
+      funcp = IGAMMAL_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+      funcp = boost::math::tgamma_lower<value_type, value_type>;
+#else
+      funcp = boost::math::tgamma_lower;
+#endif
+      result = boost::math::tools::test_hetero<Real>(
+         data,
+         bind_func<Real>(funcp, 0, 1),
+         extract_result<Real>(4));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_lower", test_name);
+   }
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(GAMMAQ_FUNCTION_TO_TEST))
+   //
+   // test gamma_q(T, T) against data:
+   //
+#ifdef GAMMAQ_FUNCTION_TO_TEST
+   funcp = GAMMAQ_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_q<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_q;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_q", test_name);
+   //
+   // test gamma_p(T, T) against data:
+   //
+#ifdef GAMMAP_FUNCTION_TO_TEST
+   funcp = GAMMAP_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_p<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_p;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_p", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // First the data for the incomplete gamma function, each
+   // row has the following 6 entries:
+   // Parameter a, parameter z,
+   // Expected tgamma(a, z), Expected gamma_q(a, z)
+   // Expected tgamma_lower(a, z), Expected gamma_p(a, z)
+   //
+#  include "igamma_med_data.ipp"
+
+   do_test_gamma_2<T>(igamma_med_data, name, "tgamma(a, z) medium values");
+
+#  include "igamma_small_data.ipp"
+
+   do_test_gamma_2<T>(igamma_small_data, name, "tgamma(a, z) small values");
+
+#  include "igamma_big_data.ipp"
+
+   do_test_gamma_2<T>(igamma_big_data, name, "tgamma(a, z) large values");
+
+#  include "igamma_int_data.ipp"
+
+   do_test_gamma_2<T>(igamma_int_data, name, "tgamma(a, z) integer and half integer values");
+}
+
+template <class T>
+void test_spots(T)
+{
+   //
+   // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+#if (defined(macintosh) || defined(__APPLE__) || defined(__APPLE_CC__))
+   tolerance *= 10;
+#endif
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   T tolerance_tgamma_extra = std::numeric_limits<T>::is_specialized ? 1 : 10;
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(23.912163676143750903709045060494956383977723517065L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(10.571838841565097874621959975919877646444998907920L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(0.70206451384706574414638719662835463671916532623256L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(3.8734332808745531496973774140085644548465762343719e-36L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(0.5)), static_cast<T>(0.56241823159440712427949495730204306902676756479651L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(9)/10), static_cast<T>(0.31853210360412109873859360390443790076576777747449L), tolerance*10);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(5)), static_cast<T>(0.0027746032604128093194908357272603294120210079791437L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.5), static_cast<T>(100)), static_cast<T>(3.7017478604082789202535664481339075721362102520338e-45L), tolerance * tolerance_tgamma_extra);
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(0.087836323856249096290954939505043616022276482935091L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(13.428161158434902125378040024080122353555001092080L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(23.297935486152934255853612803371645363280834673767L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(23.999999999999999999999999999999999996126566719125L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(0.99634015317265628765454354418728984933240514654437L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(0.44049328506521241144258166566332823526854162116334L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(0.029252688076961072672766133192848109863298555259690L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(1.6139305336977304790405739225035685228527400976549e-37L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(1.5), static_cast<T>(2)), static_cast<T>(0.26146412994911062220282207597592120190281060919079L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q(static_cast<T>(20.5), static_cast<T>(22)), static_cast<T>(0.34575332043467326814971590879658406632570278929072L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(1)), static_cast<T>(0.0036598468273437123454564558127101506675948534556288L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(5)), static_cast<T>(0.55950671493478758855741833433667176473145837883666L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(10)), static_cast<T>(0.97074731192303892732723386680715189013670144474031L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(5), static_cast<T>(100)), static_cast<T>(0.9999999999999999999999999999999999998386069466302L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(1.5), static_cast<T>(2)), static_cast<T>(0.73853587005088937779717792402407879809718939080921L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(20.5), static_cast<T>(22)), static_cast<T>(0.65424667956532673185028409120341593367429721070928L), tolerance);
+
+   // naive check on derivative function:
+   using namespace std;  // For ADL of std functions
+   tolerance = boost::math::tools::epsilon<T>() * 5000; // 50 eps
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p_derivative(static_cast<T>(20.5), static_cast<T>(22)), 
+      exp(static_cast<T>(-22)) * pow(static_cast<T>(22), static_cast<T>(19.5)) / boost::math::tgamma(static_cast<T>(20.5)), tolerance);
+
+   // Bug reports from Rocco Romeo:
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(20), ldexp(T(1), -40)), static_cast<T>(1.21645100408832000000e17L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(20), ldexp(T(1), -40)), static_cast<T>(7.498484069471659696438206828760307317022658816757448882e-243L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(20), ldexp(T(1), -40)), static_cast<T>(6.164230243774976473534975936127139110276824507876192062e-260L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(8.841761993739701954543616000000e30L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(3.943507283668378474979245322638092813837393749566146974e-273L), tolerance);
+#ifdef __SUNPRO_CC
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(4.460092102072560946444018923090222645613009128135650652e-304L), tolerance * 8);
+#else
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p(static_cast<T>(30), ldexp(T(1), -30)), static_cast<T>(4.460092102072560946444018923090222645613009128135650652e-304L), tolerance);
+#endif
+   BOOST_CHECK_CLOSE(::boost::math::gamma_p_derivative(static_cast<T>(2), ldexp(T(1), -575)), static_cast<T>(8.08634922390438981326119906687585206568664784377654648227177e-174L), tolerance);
+
+   //typedef boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::throw_on_error> > throw_policy;
+
+   if(std::numeric_limits<T>::max_exponent <= 1024 && std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(176), static_cast<T>(100)), std::numeric_limits<T>::infinity());
+      //BOOST_MATH_CHECK_THROW(::boost::math::tgamma(static_cast<T>(176), static_cast<T>(100), throw_policy()), std::overflow_error);
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(530), static_cast<T>(2000)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(740), static_cast<T>(2500)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(530.5), static_cast<T>(2000)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(740.5), static_cast<T>(2500)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(10000.0f), static_cast<T>(10000.0f / 4)), std::numeric_limits<T>::infinity());
+   }
+   if(std::numeric_limits<T>::max_exponent >= 1024)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(165)), static_cast<T>(2.737338337642022829223832094019477918166996032112404370e304L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(170), static_cast<T>(165)), static_cast<T>(1.531729671362682445715419794880088619901822603944331733e304L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(170)), static_cast<T>(2.090991698081449410761040647015858316167077909285580375e304L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(170), static_cast<T>(170)), static_cast<T>(2.178076310923255864178211241883708221901740726771155728e304L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(190)), static_cast<T>(2.8359275512790301602903689596273175148895758522893941392e303L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(170), static_cast<T>(190)), static_cast<T>(3.985475253876802258910214992936834786579861050827796689e304L), 10 * tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(170), static_cast<T>(1000)), static_cast<T>(6.1067635957780723069200425769800190368662985052038980542e72L), 10 * tolerance);
+
+      BOOST_CHECK_CLOSE(::boost::math::tgamma_lower(static_cast<T>(185), static_cast<T>(1)), static_cast<T>(0.001999286058955490074702037576083582139834300307968257924836L), tolerance);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(185), static_cast<T>(1500)), static_cast<T>(1.037189524841404054867100938934493979112615962865368623e-67L), tolerance * 10);
+
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(36), ldexp(static_cast<T>(1), -26)), static_cast<T>(1.03331479663861449296666513375232000000e40L), tolerance * 10);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(50.5), ldexp(static_cast<T>(1), -17)), static_cast<T>(4.2904629123519598109157551960589377e63L), tolerance * 10);
+      BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(164.5), static_cast<T>(0.125)), static_cast<T>(2.5649307433687542701168405519538910e292L), tolerance * 10);
+   }
+   //
+   // Check very large parameters, see: https://github.com/boostorg/math/issues/168
+   //
+   T max_val = boost::math::tools::max_value<T>();
+   T large_val = max_val * 0.99f;
+   BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(22.25), max_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(22.25), large_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(22.25), max_val), boost::math::tgamma(static_cast<T>(22.25)));
+   BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(22.25), large_val), boost::math::tgamma(static_cast<T>(22.25)));
+   BOOST_CHECK_EQUAL(::boost::math::gamma_q(static_cast<T>(22.25), max_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::gamma_q(static_cast<T>(22.25), large_val), 0);
+   BOOST_CHECK_EQUAL(::boost::math::gamma_p(static_cast<T>(22.25), max_val), 1);
+   BOOST_CHECK_EQUAL(::boost::math::gamma_p(static_cast<T>(22.25), large_val), 1);
+   if (std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(::boost::math::tgamma(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), 0);
+      BOOST_CHECK_EQUAL(::boost::math::tgamma_lower(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), boost::math::tgamma(static_cast<T>(22.25)));
+      BOOST_CHECK_EQUAL(::boost::math::gamma_q(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), 0);
+      BOOST_CHECK_EQUAL(::boost::math::gamma_p(static_cast<T>(22.25), std::numeric_limits<T>::infinity()), 1);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_igamma_inv.cpp b/src/boost/libs/math/test/test_igamma_inv.cpp
new file mode 100644
index 000000000..56acbcd01
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inv.cpp
@@ -0,0 +1,230 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_igamma_inv.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete gamma function inverses 
+// gamma_p_inv and gamma_q_inv. There are three sets of tests:
+// 1) Spot tests which compare our results with selected values 
+// computed using the online special function calculator at 
+// functions.wolfram.com, 
+// 2) Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 3) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Large exponent range causes more extreme test cases to be evaluated:
+   //
+   if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*small[^|]*",                    // test data group
+         "[^|]*", 200000, 10000);              // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "real_concept",                     // test type(s)
+         "[^|]*small[^|]*",                   // test data group
+         "[^|]*", 98000, 12000);                  // test function
+   }
+   //
+   // These high error rates are seen on on some Linux
+   // architectures:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 350, 5);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                   // test data group
+      "[^|]*", 150, 5);                  // test function
+
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 20, 5);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                    // test data group
+      "[^|]*", 5, 2);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                    // test data group
+      "[^|]*", 2100, 500);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*small[^|]*",                    // test data group
+      "gamma_p_inv", 500, 60);   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*",                          // test data group
+      "gamma_q_inv", 350, 60);   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 4, 2);                   // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 20, 5);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*large[^|]*",                   // test data group
+      "[^|]*", 1000, 500);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*small[^|]*",                   // test data group
+      "[^|]*", 3700, 500);                  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#ifdef TEST_FLOAT
+   test_spots(0.0F, "float");
+#endif
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L, "long double");
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#ifdef TEST_FLOAT
+   test_gamma(0.1F, "float");
+#endif
+#endif
+#ifdef TEST_DOUBLE
+   test_gamma(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_gamma(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_igamma_inv.hpp b/src/boost/libs/math/test/test_igamma_inv.hpp
new file mode 100644
index 000000000..7330e918a
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inv.hpp
@@ -0,0 +1,233 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " , " << data[i][5] << " } " << std::endl;\
+      }\
+   }
+
+template <class Real, class T>
+void do_test_gamma_2(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test gamma_p_inv(T, T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete gamma is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5])), value_type(0));
+      else if((1 - Real(data[i][5]) > 0.001) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][5]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_p_inv(Real(data[i][0]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, 100000, i);
+      }
+
+      if(Real(data[i][3]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else if((1 - Real(data[i][3]) > 0.001) && (fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<value_type>()))
+      {
+         value_type inv = boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][3]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3])), value_type(0));
+      else if(fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<value_type>())
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_q_inv(Real(data[i][0]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][1]), inv, 100, i);
+      }
+   }
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_gamma_inv(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(GAMMAP_INV_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef GAMMAP_INV_FUNCTION_TO_TEST
+   pg funcp = GAMMAP_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::gamma_p_inv<value_type, value_type>;
+#else
+   pg funcp = boost::math::gamma_p_inv;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test gamma_p_inv(T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_p_inv", test_name);
+   //
+   // test gamma_q_inv(T, T) against data:
+   //
+#ifdef GAMMAQ_INV_FUNCTION_TO_TEST
+   funcp = GAMMAQ_INV_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_q_inv<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_q_inv;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_q_inv", test_name);
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+#if !defined(TEST_UDT) && !defined(ERROR_REPORTING_MODE)
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // First the data for the incomplete gamma function, each
+   // row has the following 6 entries:
+   // Parameter a, parameter z,
+   // Expected tgamma(a, z), Expected gamma_q(a, z)
+   // Expected tgamma_lower(a, z), Expected gamma_p(a, z)
+   //
+#  include "igamma_med_data.ipp"
+
+   do_test_gamma_2<T>(igamma_med_data, name, "Running round trip sanity checks on incomplete gamma medium sized values");
+
+#  include "igamma_small_data.ipp"
+
+   do_test_gamma_2<T>(igamma_small_data, name, "Running round trip sanity checks on incomplete gamma small values");
+
+#  include "igamma_big_data.ipp"
+
+   do_test_gamma_2<T>(igamma_big_data, name, "Running round trip sanity checks on incomplete gamma large values");
+
+#endif
+
+#  include "gamma_inv_data.ipp"
+
+   do_test_gamma_inv<T>(gamma_inv_data, name, "incomplete gamma inverse(a, z) medium values");
+
+#  include "gamma_inv_big_data.ipp"
+
+   do_test_gamma_inv<T>(gamma_inv_big_data, name, "incomplete gamma inverse(a, z) large values");
+
+#  include "gamma_inv_small_data.ipp"
+
+   do_test_gamma_inv<T>(gamma_inv_small_data, name, "incomplete gamma inverse(a, z) small values");
+}
+
+template <class T>
+void test_spots(T, const char* type_name)
+{
+   std::cout << "Running spot checks for type " << type_name << std::endl;
+   //
+   // basic sanity checks, tolerance is 150 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 15000;
+   if(tolerance < 1e-25f)
+      tolerance = 1e-25f;  // limit of test data?
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(1)/100, static_cast<T>(1.0/128)), static_cast<T>(0.35767144525455121503672919307647515332256996883787L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(1)/100, static_cast<T>(0.5)), static_cast<T>(4.4655350189103486773248562646452806745879516124613e-31L), tolerance*10);
+   //
+   // We can't test in this region against Mathworld's data as the results produced
+   // by functions.wolfram.com appear to be in error, and do *not* round trip with
+   // their own version of gamma_q.  Using our output from the inverse as input to 
+   // their version of gamma_q *does* round trip however.  It should be pointed out
+   // that the functions in this area are very sensitive with nearly infinite
+   // first derivatives, it's also questionable how useful these functions are
+   // in this part of the domain.
+   //
+   //BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(1e-2), static_cast<T>(1.0-1.0/128)), static_cast<T>(3.8106736649978161389878528903698068142257930575497e-181L), tolerance);
+   //
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(0.5), static_cast<T>(1.0/128)), static_cast<T>(3.5379794687984498627918583429482809311448951189097L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(0.5), static_cast<T>(1.0/2)), static_cast<T>(0.22746821155978637597125832348982469815821055329511L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(0.5), static_cast<T>(1.0-1.0/128)), static_cast<T>(0.000047938431649305382237483273209405461203600840052182L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10), static_cast<T>(1.0/128)), static_cast<T>(19.221865946801723949866005318845155649972164294057L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10), static_cast<T>(1.0/2)), static_cast<T>(9.6687146147141311517500637401166726067778162022664L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10), static_cast<T>(1.0-1.0/128)), static_cast<T>(3.9754602513640844712089002210120603689809432130520L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10000), static_cast<T>(1.0/128)), static_cast<T>(10243.369973939134157953734588122880006091919872879L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10000), static_cast<T>(1.0/2)), static_cast<T>(9999.6666686420474237369661574633153551436435884101L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::gamma_q_inv(static_cast<T>(10000), static_cast<T>(1.0-1.0/128)), static_cast<T>(9759.8597223369324083191194574874497413261589080204L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_igamma_inva.cpp b/src/boost/libs/math/test/test_igamma_inva.cpp
new file mode 100644
index 000000000..89fec33cb
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inva.cpp
@@ -0,0 +1,139 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_igamma_inva.hpp"
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the incomplete gamma function inverses 
+// gamma_p_inva and gamma_q_inva. There are two sets of tests:
+// 2) TODO: Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+// 3) Round trip sanity checks, use the test data for the forward
+// functions, and verify that we can get (approximately) back
+// where we started.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 800, 200);               // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 3000, 1000);             // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 300, 100);               // test function
+   // this one has to come last in case double *is* the widest
+   // float type:
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "float|double",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 10, 5);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+#ifdef TEST_FLOAT
+   test_gamma(0.1F, "float");
+#endif
+#endif
+#ifdef TEST_DOUBLE
+   test_gamma(0.1, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_gamma(0.1L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_igamma_inva.hpp b/src/boost/libs/math/test/test_igamma_inva.hpp
new file mode 100644
index 000000000..402ea2f8b
--- /dev/null
+++ b/src/boost/libs/math/test/test_igamma_inva.hpp
@@ -0,0 +1,192 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "table_type.hpp"
+#include "handle_test_result.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " , " << data[i][5] << " } " << std::endl;\
+      }\
+   }
+
+template <class Real, class T>
+void do_test_gamma_2(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test gamma_p_inva(T, T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete gamma is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(Real(data[i][5]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else if((1 - Real(data[i][5]) > 0.001) && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()))
+      {
+         value_type inv = boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][5]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
+      else if(Real(data[i][5]) > 2 * boost::math::tools::min_value<value_type>())
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_p_inva(Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, 100, i);
+      }
+
+      if(Real(data[i][3]) == 0)
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3])), boost::math::tools::min_value<value_type>());
+      else if((1 - Real(data[i][3]) > 0.001) 
+         && (fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<value_type>()) 
+         && (fabs(Real(data[i][3])) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, precision, i);
+      }
+      else if(1 == Real(data[i][3]))
+         BOOST_CHECK_EQUAL(boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
+      else if(Real(data[i][3]) > 2 * boost::math::tools::min_value<value_type>()) 
+      {
+         // not enough bits in our input to get back to x, but we should be in
+         // the same ball park:
+         value_type inv = boost::math::gamma_q_inva(Real(data[i][1]), Real(data[i][3]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][0]), inv, 100, i);
+      }
+   }
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_gamma_inva(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(GAMMAP_INVA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef GAMMAP_INVA_FUNCTION_TO_TEST
+   pg funcp = GAMMAP_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::gamma_p_inva<value_type, value_type>;
+#else
+   pg funcp = boost::math::gamma_p_inva;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test gamma_p_inva(T, T) against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_p_inva", test_name);
+   //
+   // test gamma_q_inva(T, T) against data:
+   //
+#ifdef GAMMAQ_INVA_FUNCTION_TO_TEST
+   funcp = GAMMAQ_INVA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::gamma_q_inva<value_type, value_type>;
+#else
+   funcp = boost::math::gamma_q_inva;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "gamma_q_inva", test_name);
+#endif
+}
+
+template <class T>
+void test_gamma(T, const char* name)
+{
+#if !defined(TEST_UDT) && !defined(ERROR_REPORTING_MODE)
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // First the data for the incomplete gamma function, each
+   // row has the following 6 entries:
+   // Parameter a, parameter z,
+   // Expected tgamma(a, z), Expected gamma_q(a, z)
+   // Expected tgamma_lower(a, z), Expected gamma_p(a, z)
+   //
+#  include "igamma_med_data.ipp"
+
+   do_test_gamma_2<T>(igamma_med_data, name, "Running round trip sanity checks on incomplete gamma medium sized values");
+
+#  include "igamma_small_data.ipp"
+
+   do_test_gamma_2<T>(igamma_small_data, name, "Running round trip sanity checks on incomplete gamma small values");
+
+#  include "igamma_big_data.ipp"
+
+   do_test_gamma_2<T>(igamma_big_data, name, "Running round trip sanity checks on incomplete gamma large values");
+
+#endif
+
+#  include "igamma_inva_data.ipp"
+
+   do_test_gamma_inva<T>(igamma_inva_data, name, "Incomplete gamma inverses.");
+}
+
diff --git a/src/boost/libs/math/test/test_instances/Jamfile.v2 b/src/boost/libs/math/test/test_instances/Jamfile.v2
new file mode 100644
index 000000000..d40d28bc1
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/Jamfile.v2
@@ -0,0 +1,39 @@
+# Copyright ohn Maddock 2012
+# Distributed under the Boost Software License, Version 1.0. 
+# (See accompanying file LICENSE_1_0.txt or copy at 
+# http://www.boost.org/LICENSE_1_0.txt.
+
+import pch ;
+
+project  
+    : requirements 
+      <toolset>acc:<cxxflags>+W2068,2461,2236,4070,4069
+      <toolset>intel-win:<cxxflags>-nologo 
+      <toolset>intel-win:<linkflags>-nologo 
+      #<toolset>intel-linux:<pch>off
+      <toolset>intel-darwin:<pch>off
+      <toolset>msvc:<warnings>all
+      <toolset>msvc:<asynch-exceptions>on
+      <toolset>msvc:<cxxflags>/wd4996
+      <toolset>msvc:<cxxflags>/wd4511 # copy constructor could not be generated 
+      <toolset>msvc:<cxxflags>/wd4512 
+      <toolset>msvc:<cxxflags>/wd4610 
+      <toolset>msvc:<cxxflags>/wd4510 
+      <toolset>msvc:<cxxflags>/wd4127 
+      <toolset>msvc:<cxxflags>/wd4701 # needed for lexical cast - temporary.
+      <toolset>msvc:<cxxflags>/wd4189 # local variable is initialized but not referenced
+      <toolset>msvc-7.1:<pch>off
+      <toolset>borland:<runtime-link>static
+      <include>../../../..
+      # For simplicities sake, make everything a static lib:
+      <link>static
+      <define>BOOST_ALL_NO_LIB=1
+      <include>.
+    ;
+    
+cpp-pch pch : pch.hpp ;
+
+path-constant here : . ;
+
+lib test_instances : [ GLOB $(here) : *.cpp ] pch 
+                   : <link>static ;
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_1.cpp
new file mode 100644
index 000000000..88502559a
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_1.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_10.cpp
new file mode 100644
index 000000000..4df0e855c
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_10.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_2.cpp
new file mode 100644
index 000000000..f7e9c3dc8
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_2.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_3.cpp
new file mode 100644
index 000000000..7ed9b56f7
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_3.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_4.cpp
new file mode 100644
index 000000000..b9f79942b
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_4.cpp
@@ -0,0 +1,27 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_5.cpp
new file mode 100644
index 000000000..62dbbe2f1
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_5.cpp
@@ -0,0 +1,18 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_6.cpp
new file mode 100644
index 000000000..5fc890867
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_6.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_7.cpp
new file mode 100644
index 000000000..14d00ba17
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_7.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_8.cpp
new file mode 100644
index 000000000..727a12e78
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_8.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/double_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/double_test_instances_9.cpp
new file mode 100644
index 000000000..e14c85dbf
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/double_test_instances_9.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE double
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_1.cpp
new file mode 100644
index 000000000..774e71fe5
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_1.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_10.cpp
new file mode 100644
index 000000000..0afafd3b8
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_10.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_2.cpp
new file mode 100644
index 000000000..4f9690581
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_2.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_3.cpp
new file mode 100644
index 000000000..6623f7c17
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_3.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_4.cpp
new file mode 100644
index 000000000..344354be8
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_4.cpp
@@ -0,0 +1,27 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_5.cpp
new file mode 100644
index 000000000..4e2315c06
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_5.cpp
@@ -0,0 +1,18 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_6.cpp
new file mode 100644
index 000000000..8d8400131
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_6.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_7.cpp
new file mode 100644
index 000000000..8d93752d1
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_7.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_8.cpp
new file mode 100644
index 000000000..a0b36a854
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_8.cpp
@@ -0,0 +1,16 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/float_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/float_test_instances_9.cpp
new file mode 100644
index 000000000..e2eb15c3d
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/float_test_instances_9.cpp
@@ -0,0 +1,17 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#define BOOST_MATH_TEST_TYPE float
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_10.cpp
new file mode 100644
index 000000000..8e21808ed
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_10.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_2.cpp
new file mode 100644
index 000000000..a49d0ea7a
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_2.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_3.cpp
new file mode 100644
index 000000000..9400bbdaf
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_3.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_4.cpp
new file mode 100644
index 000000000..f7ba9783c
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_4.cpp
@@ -0,0 +1,30 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_5.cpp
new file mode 100644
index 000000000..6e4599b64
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_5.cpp
@@ -0,0 +1,21 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_6.cpp
new file mode 100644
index 000000000..c56695fec
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_6.cpp
@@ -0,0 +1,26 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_7.cpp
new file mode 100644
index 000000000..a358fbd2d
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_7.cpp
@@ -0,0 +1,20 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_8.cpp
new file mode 100644
index 000000000..98c703348
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_8.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/ldouble_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/ldouble_test_instances_9.cpp
new file mode 100644
index 000000000..e212c7d5e
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/ldouble_test_instances_9.cpp
@@ -0,0 +1,20 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/long_double_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/long_double_test_instances_1.cpp
new file mode 100644
index 000000000..a312ae080
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/long_double_test_instances_1.cpp
@@ -0,0 +1,19 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE long double
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/pch.hpp b/src/boost/libs/math/test/test_instances/pch.hpp
new file mode 100644
index 000000000..827a31967
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/pch.hpp
@@ -0,0 +1,10 @@
+//  Copyright John Maddock 2012.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef BOOST_BUILD_PCH_ENABLED
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions.hpp>
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_1.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_1.cpp
new file mode 100644
index 000000000..76b1a7bb5
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_1.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/beta.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_1
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_10.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_10.cpp
new file mode 100644
index 000000000..e356b046a
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_10.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_10
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_2.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_2.cpp
new file mode 100644
index 000000000..6cb2ecc97
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_2.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/erf.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_2
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_3.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_3.cpp
new file mode 100644
index 000000000..aa6cf8fb7
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_3.cpp
@@ -0,0 +1,25 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/special_functions/laguerre.hpp>
+#include <boost/math/special_functions/hermite.hpp>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_3
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_4.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_4.cpp
new file mode 100644
index 000000000..63c907e62
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_4.cpp
@@ -0,0 +1,33 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_1.hpp>
+#include <boost/math/special_functions/ellint_2.hpp>
+#include <boost/math/special_functions/ellint_3.hpp>
+#include <boost/math/special_functions/ellint_d.hpp>
+#include <boost/math/special_functions/jacobi_zeta.hpp>
+#include <boost/math/special_functions/heuman_lambda.hpp>
+#include <boost/math/special_functions/ellint_rc.hpp>
+#include <boost/math/special_functions/ellint_rf.hpp>
+#include <boost/math/special_functions/ellint_rj.hpp>
+#include <boost/math/special_functions/ellint_rd.hpp>
+#include <boost/math/special_functions/ellint_rg.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_4
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_5.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_5.cpp
new file mode 100644
index 000000000..6dd7d0433
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_5.cpp
@@ -0,0 +1,24 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/digamma.hpp>
+#include <boost/math/special_functions/polygamma.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_5
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_6.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_6.cpp
new file mode 100644
index 000000000..18137510d
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_6.cpp
@@ -0,0 +1,29 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/hypot.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/log1p.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <boost/math/special_functions/powm1.hpp>
+#include <boost/math/special_functions/sqrt1pm1.hpp>
+#include <boost/math/special_functions/sin_pi.hpp>
+#include <boost/math/special_functions/cos_pi.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_6
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_7.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_7.cpp
new file mode 100644
index 000000000..dd53dfec7
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_7.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_7
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_8.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_8.cpp
new file mode 100644
index 000000000..ff03f4d25
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_8.cpp
@@ -0,0 +1,22 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/airy.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_8
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/real_concept_test_instances_9.cpp b/src/boost/libs/math/test/test_instances/real_concept_test_instances_9.cpp
new file mode 100644
index 000000000..05ac1f777
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/real_concept_test_instances_9.cpp
@@ -0,0 +1,23 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch.hpp"
+
+#ifndef BOOST_BUILD_PCH_ENABLED
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/special_functions/expint.hpp>
+#include <boost/math/special_functions/zeta.hpp>
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+#define BOOST_MATH_TEST_TYPE boost::math::concepts::real_concept
+#define TEST_GROUP_9
+#include "test_instances.hpp"
+
+#endif
diff --git a/src/boost/libs/math/test/test_instances/test_instances.hpp b/src/boost/libs/math/test/test_instances/test_instances.hpp
new file mode 100644
index 000000000..e9aef129f
--- /dev/null
+++ b/src/boost/libs/math/test/test_instances/test_instances.hpp
@@ -0,0 +1,467 @@
+// Copyright John Maddock 2011.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+namespace boost{ namespace math{
+
+   typedef policies::policy<policies::overflow_error<policies::throw_on_error> > overflow_policy;
+
+#ifdef TEST_GROUP_1
+
+   // Beta functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b); // Beta function (2 arguments).
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, policies::policy<>); // Beta function (3 arguments).
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE); // Beta function (3 arguments).
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         beta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol); // Beta function (3 arguments).
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         betac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         betac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x); // Incomplete beta function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol); // Incomplete beta function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x); // Incomplete beta complement function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol); // Incomplete beta complement function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, BOOST_MATH_TEST_TYPE* py);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, BOOST_MATH_TEST_TYPE* py, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, const policies::policy<>&); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, const policies::policy<>&); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE p, const policies::policy<>&); // Incomplete beta inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, BOOST_MATH_TEST_TYPE* py);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, BOOST_MATH_TEST_TYPE* py, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, const policies::policy<>&); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, const policies::policy<>&); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibetac_invb(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE q, const policies::policy<>&); // Incomplete beta complement inverse function.
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x);  // derivative of incomplete beta
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ibeta_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);  // derivative of incomplete beta
+
+#endif
+#ifdef TEST_GROUP_2
+   // erf & erfc error functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf(BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc(BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf_inv(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erf_inv(BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc_inv(BOOST_MATH_TEST_TYPE z);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type erfc_inv(BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+#endif
+#ifdef TEST_GROUP_3
+   // Polynomials:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         legendre_next(unsigned l, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Pl, BOOST_MATH_TEST_TYPE Plm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_q(unsigned l, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_q(unsigned l, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         legendre_next(unsigned l, unsigned m, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Pl, BOOST_MATH_TEST_TYPE Plm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, int m, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+         legendre_p(int l, int m, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+         laguerre_next(unsigned n, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Ln, BOOST_MATH_TEST_TYPE Lnm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type  
+      laguerre_next(unsigned n, unsigned l, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Pl, BOOST_MATH_TEST_TYPE Plm1);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, unsigned m, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template laguerre_result<int, BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, int m, BOOST_MATH_TEST_TYPE x);
+
+   template laguerre_result<unsigned, BOOST_MATH_TEST_TYPE>::type 
+      laguerre(unsigned n, unsigned m, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      hermite(unsigned n, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type 
+      hermite(unsigned n, BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      hermite_next(unsigned n, BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE Hn, BOOST_MATH_TEST_TYPE Hnm1);
+
+   template std::complex<BOOST_MATH_TEST_TYPE> 
+         spherical_harmonic(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi);
+
+   template std::complex<BOOST_MATH_TEST_TYPE> 
+      spherical_harmonic(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         spherical_harmonic_r(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      spherical_harmonic_r(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         spherical_harmonic_i(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      spherical_harmonic_i(unsigned n, int m, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+#endif
+#ifdef TEST_GROUP_4
+    // Elliptic integrals:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rf(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rf(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rd(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rd(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rc(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rc(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rj(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE p);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         ellint_rj(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE p, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      ellint_rg(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+      ellint_rg(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_2(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_d(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_zeta(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_zeta(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type heuman_lambda(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type heuman_lambda(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_1(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template detail::ellint_3_result<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_3(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE phi);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_3(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE phi, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type ellint_3(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE v);
+#endif
+#ifdef TEST_GROUP_5
+   // Gamma functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type tgamma(BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type tgamma1pm1(BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type tgamma1pm1(BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE z, int* sign);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE z, int* sign, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type lgamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>& pol);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_lower(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_lower(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_delta_ratio(BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE delta);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_delta_ratio(BOOST_MATH_TEST_TYPE z, BOOST_MATH_TEST_TYPE delta, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_ratio(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type tgamma_ratio(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE b, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE x);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_derivative(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+
+   // gamma inverse.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_p_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE p, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inv(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type gamma_q_inva(BOOST_MATH_TEST_TYPE a, BOOST_MATH_TEST_TYPE q, const policies::policy<>&);
+
+   // digamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type digamma(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type digamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   // trigamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type trigamma(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type trigamma(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   // polygamma:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type polygamma(int, BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type polygamma(int, BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+#endif
+#ifdef TEST_GROUP_6
+   // Hypotenuse function sqrt(x ^ 2 + y ^ 2).
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         hypot(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         hypot(BOOST_MATH_TEST_TYPE x, BOOST_MATH_TEST_TYPE y, const policies::policy<>&);
+
+   // cbrt - cube root.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cbrt(BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cbrt(BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   // log1p is log(x + 1)
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1p(BOOST_MATH_TEST_TYPE);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1p(BOOST_MATH_TEST_TYPE, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1p<BOOST_MATH_TEST_TYPE, overflow_policy>(BOOST_MATH_TEST_TYPE, const overflow_policy&);
+
+   // log1pmx is log(x + 1) - x
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1pmx(BOOST_MATH_TEST_TYPE);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1pmx(BOOST_MATH_TEST_TYPE, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type log1pmx(BOOST_MATH_TEST_TYPE, const overflow_policy&);
+
+   // Exp (x) minus 1 functions.
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expm1(BOOST_MATH_TEST_TYPE);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expm1(BOOST_MATH_TEST_TYPE, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expm1(BOOST_MATH_TEST_TYPE, const overflow_policy&);
+
+   // Power - 1
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         powm1(const BOOST_MATH_TEST_TYPE a, const BOOST_MATH_TEST_TYPE z);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type 
+         powm1(const BOOST_MATH_TEST_TYPE a, const BOOST_MATH_TEST_TYPE z, const policies::policy<>&);
+
+   // sqrt(1+x) - 1
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sqrt1pm1(const BOOST_MATH_TEST_TYPE& val);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sqrt1pm1(const BOOST_MATH_TEST_TYPE& val, const policies::policy<>&);
+
+   // sin_pi, cos_pi
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sin_pi(const BOOST_MATH_TEST_TYPE val);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type sin_pi(const BOOST_MATH_TEST_TYPE val, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cos_pi(const BOOST_MATH_TEST_TYPE val);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type cos_pi(const BOOST_MATH_TEST_TYPE val, const policies::policy<>&);
+#endif
+#ifdef TEST_GROUP_7
+   // Bessel functions:
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_j_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel_prime(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel(unsigned v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_bessel_prime(unsigned v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_i_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_bessel_k_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann_prime(BOOST_MATH_TEST_TYPE v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann(int v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<int, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type cyl_neumann_prime(int v, BOOST_MATH_TEST_TYPE x);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann_prime(unsigned v, BOOST_MATH_TEST_TYPE x, const policies::policy<> & pol);
+
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann(unsigned v, BOOST_MATH_TEST_TYPE x);
+   template detail::bessel_traits<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE, policies::policy<> >::result_type sph_neumann_prime(unsigned v, BOOST_MATH_TEST_TYPE x);
+#endif
+#ifdef TEST_GROUP_8
+   // Airy Functions:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai_prime(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_ai_prime(BOOST_MATH_TEST_TYPE x);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi_prime(BOOST_MATH_TEST_TYPE x, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type airy_bi_prime(BOOST_MATH_TEST_TYPE x);
+#endif
+#ifdef TEST_GROUP_9
+   // Exponential Integral
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expint(unsigned n, BOOST_MATH_TEST_TYPE z, const policies::policy<> &);
+
+   template detail::expint_result<int, BOOST_MATH_TEST_TYPE>::type expint(int const z, BOOST_MATH_TEST_TYPE const u);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type expint(BOOST_MATH_TEST_TYPE z);
+
+   // Zeta:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type zeta(BOOST_MATH_TEST_TYPE s, const policies::policy<>&);
+
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type zeta(BOOST_MATH_TEST_TYPE s);
+#endif
+#ifdef TEST_GROUP_10
+   // Jacobi Functions:
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type jacobi_elliptic(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE* pcn, BOOST_MATH_TEST_TYPE* pdn, const policies::policy<>&);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE>::type jacobi_elliptic(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, BOOST_MATH_TEST_TYPE* pcn, BOOST_MATH_TEST_TYPE* pdn);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dn(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_dc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ns(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ns(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ds(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_ds(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_nd(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_sc(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cs(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta, const policies::policy<>& pol);
+   template tools::promote_args<BOOST_MATH_TEST_TYPE, BOOST_MATH_TEST_TYPE>::type jacobi_cs(BOOST_MATH_TEST_TYPE k, BOOST_MATH_TEST_TYPE theta);
+#endif
+
+}} // namespaces
diff --git a/src/boost/libs/math/test/test_instantiate1.cpp b/src/boost/libs/math/test/test_instantiate1.cpp
new file mode 100644
index 000000000..a930c14ca
--- /dev/null
+++ b/src/boost/libs/math/test/test_instantiate1.cpp
@@ -0,0 +1,22 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define TEST_COMPLEX
+
+#include "compile_test/instantiate.hpp"
+
+extern void other_test();
+
+int main(int argc, char* [])
+{
+   if(argc > 10000)
+   {
+      instantiate(double(0));
+      instantiate_mixed(double(0));
+      other_test();
+   }
+}
+
+
diff --git a/src/boost/libs/math/test/test_instantiate2.cpp b/src/boost/libs/math/test/test_instantiate2.cpp
new file mode 100644
index 000000000..81bbf7b78
--- /dev/null
+++ b/src/boost/libs/math/test/test_instantiate2.cpp
@@ -0,0 +1,16 @@
+//  Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define TEST_COMPLEX
+
+#include "compile_test/instantiate.hpp"
+
+void other_test()
+{
+   instantiate(double(0));
+   instantiate_mixed(double(0));
+}
+
+
diff --git a/src/boost/libs/math/test/test_inv_hyp.cpp b/src/boost/libs/math/test/test_inv_hyp.cpp
new file mode 100644
index 000000000..18bfceb48
--- /dev/null
+++ b/src/boost/libs/math/test/test_inv_hyp.cpp
@@ -0,0 +1,286 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/acosh.hpp>
+#include <boost/math/special_functions/asinh.hpp>
+#include <boost/math/special_functions/atanh.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <iostream>
+#include <iomanip>
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the inverse hyperbolic functions. There are two sets of tests:
+// 1) Sanity checks: comparison to test values created with the
+// online calculator at functions.wolfram.com
+// 2) Accuracy tests use values generated with NTL::RR at
+// 1000-bit precision and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "atanh.*",                     // test data group
+      ".*", 6, 1);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 4, 2);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 4, 1);                   // test function
+
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class Real, class T>
+void do_test_asinh(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test asinh(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::asinh<value_type>;
+#else
+   pg funcp = boost::math::asinh;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test asinh against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::asinh", test_name);
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_acosh(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test acosh(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::acosh<value_type>;
+#else
+   pg funcp = boost::math::acosh;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test acosh against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::acosh", test_name);
+   std::cout << std::endl;
+}
+
+template <class Real, class T>
+void do_test_atanh(const T& data, const char* type_name, const char* test_name)
+{
+   //
+   // test atanh(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::atanh<value_type>;
+#else
+   pg funcp = boost::math::atanh;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test atanh against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::atanh", test_name);
+   std::cout << std::endl;
+}
+
+template <class T>
+void test_inv_hyperbolics(T, const char* name)
+{
+    // function values calculated on http://functions.wolfram.com/
+    #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+    static const boost::array<boost::array<typename table_type<T>::type, 2>, 16> data1 = {{
+        {{ SC_(1.0), SC_(0.0) }},
+        {{ SC_(18014398509481985.0)/SC_(18014398509481984.0), (SC_(18014398509481985.0)/SC_(18014398509481984.0) == 1 ? 0 : SC_(1.05367121277235078980001569764860129317209081216314559121044e-8)) }},
+        {{ SC_(140737488355329.0)/SC_(140737488355328.0), (SC_(140737488355329.0)/SC_(140737488355328.0) == 1 ? 0 : SC_(1.19209289550781179413921062141751258430803882725295121500042e-7)) }},
+        {{ SC_(1073741825.0)/SC_(1073741824.0), (SC_(1073741825.0)/SC_(1073741824.0) == 1 ? 0 : SC_(0.0000431583728718059579720327225039166883356735150941350459126580)) }},
+        {{ SC_(32769.0)/32768, (SC_(32769.0)/32768 == 1 ? 0 : SC_(0.00781248013192149783598227588546120945538554063153555218442060)) }},
+        {{ SC_(1025.0)/1024, SC_(0.0441905780831100944299637635287994671116916497867872322058681) }},
+        {{ SC_(513.0)/512, SC_(0.0624898319417098609694799246056217361555882834152944713872228) }},
+        {{ SC_(129.0)/128, SC_(0.124918762511080617606418193883982155828039646714882611321039) }},
+        {{ SC_(33.0)/32, SC_(0.249353493842885487851439075410018843027071727873456825299808) }},
+        {{ SC_(5.0)/4, SC_(0.693147180559945309417232121458176568075500134360255254120680) }},
+        {{ SC_(3.0)/2, SC_(0.962423650119206894995517826848736846270368668771321039322036) }},
+        {{ SC_(1.75), SC_(1.15881036042994681173087299087873019318368454205435905403767) }},
+        {{ SC_(2.0), SC_(1.31695789692481670862504634730796844402698197146751647976847) }},
+        {{ SC_(20.0), SC_(3.68825386736129666761816757203235188783315569765587425882926) }},
+        {{ SC_(200.0), SC_(5.99145829704938742305501213819154333467246121857058747847273) }},
+        {{ SC_(2000.0), SC_(8.29404957760202181151262480475259799729149903827743516943515) }},
+    }};
+    #undef SC_
+
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#include "asinh_data.ipp"
+   do_test_asinh<T>(asinh_data, name, "asinh");
+#include "acosh_data.ipp"
+   do_test_acosh<T>(data1, name, "acosh: Mathworld Data");
+   do_test_acosh<T>(acosh_data, name, "acosh");
+#include "atanh_data.ipp"
+   do_test_atanh<T>(atanh_data, name, "atanh");
+}
+
+extern "C" double zetac(double);
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is either 5 or 10 epsilon
+   // expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100 *
+      (boost::is_floating_point<T>::value ? 5 : 10);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(262145)/262144L), static_cast<T>(0.00276213498595136093375633956331651432309750291610866833462649L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(2)), static_cast<T>(1.31695789692481670862504634730796844402698197146751647976847L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(40)), static_cast<T>(4.38187034804006698696313269586603717076961771721038534547948L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(262145L)), static_cast<T>(13.1698002453253126137651962522659827810753786944786303017757L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(0)), static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(1)/262145L), static_cast<T>(3.81468271375603081996185039385472561751449912305225962381803e-6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(0.25)), static_cast<T>(0.247466461547263452944781549788359289253766903098567696469117L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(1)), static_cast<T>(0.881373587019543025232609324979792309028160328261635410753296L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(10)), static_cast<T>(2.99822295029796973884659553759645347660705805487730365573446L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(262145L)), static_cast<T>(13.1698002453325885158685460826511173257938039316922010439486L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(0)), static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(1)/262145L), static_cast<T>(3.81468271378378607794264842456613940280945630999769224301574e-6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(-1)/262145L), static_cast<T>(-3.81468271378378607794264842456613940280945630999769224301574e-6L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(0.5)), static_cast<T>(0.549306144334054845697622618461262852323745278911374725867347L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(-0.5)), static_cast<T>(-0.549306144334054845697622618461262852323745278911374725867347L), tolerance);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_spots(0.0f, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_inv_hyperbolics(0.1F, "float");
+   test_inv_hyperbolics(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_inv_hyperbolics(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_inv_hyperbolics(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_inverse_chi_squared_distribution.cpp b/src/boost/libs/math/test/test_inverse_chi_squared_distribution.cpp
new file mode 100644
index 000000000..21b1a578f
--- /dev/null
+++ b/src/boost/libs/math/test/test_inverse_chi_squared_distribution.cpp
@@ -0,0 +1,526 @@
+// test_inverse_chi_squared.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4310) // cast truncates constant value.
+#endif
+
+// http://www.wolframalpha.com/input/?i=inverse+chisquare+distribution
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+//#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+#include "test_out_of_range.hpp"
+
+#include <boost/math/distributions/inverse_chi_squared.hpp> // for inverse_chisquared_distribution
+using boost::math::inverse_chi_squared_distribution;
+using boost::math::cdf;
+using boost::math::pdf;
+
+// Use Inverse Gamma distribution to check their relationship:
+// inverse_chi_squared<>(v) == inverse_gamma<>(v / 2., 0.5)
+#include <boost/math/distributions/inverse_gamma.hpp> // for inverse_gamma_distribution
+using boost::math::inverse_gamma_distribution;
+using boost::math::inverse_gamma;
+//  using  ::boost::math::cdf;
+//  using  ::boost::math::pdf;
+
+#include <boost/math/special_functions/gamma.hpp> 
+using boost::math::tgamma; // for naive pdf.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits; // for epsilon.
+
+template <class RealType>
+RealType naive_pdf(RealType df, RealType scale, RealType x)
+{ // Formula from Wikipedia
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType result = pow(scale * df/2, df/2) * exp(-df * scale/(2 * x));
+   result /= tgamma(df/2) * pow(x, 1 + df/2);
+   return result;
+}
+
+// Test using a spot value from some other reference source,
+// in this case test values from output from R provided by Thomas Mang,
+// and Wolfram Mathematica by Mark Coleman.
+
+template <class RealType>
+void test_spot(
+     RealType degrees_of_freedom, // degrees_of_freedom,
+     RealType scale, // scale,
+     RealType x, // random variate x,
+     RealType pd, // expected pdf,
+     RealType P, // expected CDF,
+     RealType Q, // expected complement of CDF,
+     RealType tol) // test tolerance.
+{
+   boost::math::inverse_chi_squared_distribution<RealType> dist(degrees_of_freedom, scale);
+
+   BOOST_CHECK_CLOSE_FRACTION
+      ( // Compare to expected PDF.
+      pdf(dist, x), // calculated.
+      pd, // expected
+      tol);
+
+   BOOST_CHECK_CLOSE_FRACTION( // Compare to naive pdf formula (probably less accurate).
+      pdf(dist, x), naive_pdf(dist.degrees_of_freedom(), dist.scale(), x), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION( // Compare to expected CDF.
+      cdf(dist, x), P, tol);
+
+   if((P < 0.999) && (Q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), Q, tol); // 1 - cdf
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, P), x, tol); // quantile(cdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, Q)), x, tol); // quantile(complement(1 - cdf)) = x
+   }
+} // test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, some test data is to six decimal places only,
+  // so set tolerance to 0.000001 (expressed as a percentage = 0.0001%).
+
+  RealType tolerance = 0.000001f;
+  cout << "Tolerance = " << tolerance * 100 << "%." << endl;
+
+// This test values from output from geoR (17 decimal digits) guided by Thomas Mang.
+  test_spot(static_cast<RealType>(2), static_cast<RealType>(1./2.),
+    // degrees_of_freedom, default scale = 1/df.
+  static_cast<RealType>(1.L), // x.
+  static_cast<RealType>(0.30326532985631671L), // pdf.
+  static_cast<RealType>(0.60653065971263365L), // cdf.
+  static_cast<RealType>(1 - 0.606530659712633657L), // cdf complement.
+  tolerance  // tol
+  );
+
+// Tests from Mark Coleman & Georgi Boshnakov using Wolfram Mathematica.
+  test_spot(static_cast<RealType>(10), static_cast<RealType>(0.1L), // degrees_of_freedom, scale
+  static_cast<RealType>(0.2), // x
+  static_cast<RealType>(1.6700235722635659824529759616528281217001163943570L), // pdf
+  static_cast<RealType>(0.89117801891415124234834646836872197623907651175353L), // cdf
+  static_cast<RealType>(1 - 0.89117801891415127L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(10), static_cast<RealType>(0.1L), // degrees_of_freedom, scale
+  static_cast<RealType>(0.5), // x
+  static_cast<RealType>(0.03065662009762021L), // pdf
+  static_cast<RealType>(0.99634015317265628765454354418728984933240514654437L), // cdf
+  static_cast<RealType>(1 - 0.99634015317265628765454354418728984933240514654437L), // cdf complement
+  tolerance  // tol
+  );
+
+
+  test_spot(static_cast<RealType>(10), static_cast<RealType>(2), // degrees_of_freedom, scale
+  static_cast<RealType>(0.5), // x
+  static_cast<RealType>(0.00054964096598361569L), // pdf
+  static_cast<RealType>(0.000016944743930067383903707995865261004246785511612700L), // cdf
+  static_cast<RealType>(1 - 0.000016944743930067383903707995865261004246785511612700L), // cdf complement
+  tolerance  // tol
+  );
+  
+  // Check some bad parameters to the distribution cause expected exception to be thrown.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> ichsqbad1(-1), std::domain_error); // negative degrees_of_freedom.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> ichsqbad2(1, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> ichsqbad3(-1, -1), std::domain_error); // negative scale and degrees_of_freedom.
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(-1), std::domain_error); // negative degrees_of_freedom.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(1, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(-1, -1), std::domain_error); // negative scale and degrees_of_freedom.
+#endif
+  check_out_of_range<boost::math::inverse_chi_squared_distribution<RealType> >(1, 1);
+
+  inverse_chi_squared_distribution<RealType> ichsq;
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(pdf(ichsq, +std::numeric_limits<RealType>::infinity()), std::domain_error); // x = + infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(pdf(ichsq, -std::numeric_limits<RealType>::infinity()),  std::domain_error); // x = - infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(ichsq, +std::numeric_limits<RealType>::infinity()),std::domain_error ); // x = + infinity, cdf = 1
+    BOOST_MATH_CHECK_THROW(cdf(ichsq, -std::numeric_limits<RealType>::infinity()), std::domain_error); // x = - infinity, cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ichsq, +std::numeric_limits<RealType>::infinity())), std::domain_error); // x = + infinity, c cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ichsq, -std::numeric_limits<RealType>::infinity())), std::domain_error); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_chi_squared_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // If no longer allow x or p to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(ichsq, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(ichsq, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(ichsq, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(ichsq, std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + quiet_NaN
+    BOOST_MATH_CHECK_THROW(quantile(complement(ichsq, std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + quiet_NaN
+  }
+    // Spot check for pdf using 'naive pdf' function
+  for(RealType x = 0.5; x < 5; x += 0.5)
+  {
+    BOOST_CHECK_CLOSE_FRACTION(
+      pdf(inverse_chi_squared_distribution<RealType>(5, 6), x),
+      naive_pdf(RealType(5), RealType(6), x),
+      tolerance);
+  }   // Spot checks for parameters:
+
+  RealType tol_2eps = boost::math::tools::epsilon<RealType>() * 2; // 2 eps as a fraction.
+  inverse_chi_squared_distribution<RealType> dist51(5, 1);
+  inverse_chi_squared_distribution<RealType> dist52(5, 2);
+  inverse_chi_squared_distribution<RealType> dist31(3, 1);
+  inverse_chi_squared_distribution<RealType> dist111(11, 1);
+  // 11 mean 0.10000000000000001, variance  0.0011111111111111111, sd 0.033333333333333333
+
+  using namespace std; // ADL of std names.
+  using namespace boost::math;
+  
+  inverse_chi_squared_distribution<RealType> dist10(10);
+  //  mean, variance etc
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist10), static_cast<RealType>(0.125), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist10), static_cast<RealType>(0.0052083333333333333333333333333333333333333333333333L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(mode(dist10), static_cast<RealType>(0.08333333333333333333333333333333333333333333333L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(median(dist10), static_cast<RealType>(0.10704554778227709530244586234274024205738435512468L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(dist10, median(dist10)), static_cast<RealType>(0.5L), 4 * tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(skewness(dist10), static_cast<RealType>(3.4641016151377545870548926830117447338856105076208L), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(dist10), static_cast<RealType>(45), tol_2eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(dist10), static_cast<RealType>(45-3), tol_2eps);
+
+  tol_2eps = boost::math::tools::epsilon<RealType>() * 2; // 2 eps as a percentage.
+
+  // Special and limit cases:
+
+  RealType mx = (std::numeric_limits<RealType>::max)();
+  RealType mi = (std::numeric_limits<RealType>::min)();
+
+  BOOST_CHECK_EQUAL(
+  pdf(inverse_chi_squared_distribution<RealType>(1),
+    static_cast<RealType>(mx)), // max()
+    static_cast<RealType>(0)
+    );
+
+  BOOST_CHECK_EQUAL(
+  pdf(inverse_chi_squared_distribution<RealType>(1),
+    static_cast<RealType>(mi)), // min()
+    static_cast<RealType>(0)
+    );
+
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_chi_squared_distribution<RealType>(1), static_cast<RealType>(0)), static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_chi_squared_distribution<RealType>(3), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_chi_squared_distribution<RealType>(1), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_chi_squared_distribution<RealType>(2), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_chi_squared_distribution<RealType>(3L), static_cast<RealType>(0L))
+    , static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_chi_squared_distribution<RealType>(1), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_chi_squared_distribution<RealType>(2), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_chi_squared_distribution<RealType>(3), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)), // degrees_of_freedom negative.
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_chi_squared_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1))), std::domain_error
+    );
+} // template <class RealType>void test_spots(RealType)
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+
+  double tol_few_eps = numeric_limits<double>::epsilon() * 4;
+  
+  // Check that can generate inverse_chi_squared distribution using the two convenience methods:
+  // inverse_chi_squared_distribution; // with default parameters, degrees_of_freedom = 1, scale - 1
+  using boost::math::inverse_chi_squared;
+   
+  // Some constructor tests using default double.
+  double tol4eps = boost::math::tools::epsilon<double>() * 4; // 4 eps as a fraction.
+
+  inverse_chi_squared ichsqdef; // Using typedef and both default parameters.
+
+  BOOST_CHECK_EQUAL(ichsqdef.degrees_of_freedom(), 1.); // df == 1
+  BOOST_CHECK_EQUAL(ichsqdef.scale(), 1); // scale == 1./df
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichsqdef, 1), 0.24197072451914330, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichsqdef, 9), 0.013977156581221969, tol4eps);
+  
+  inverse_chi_squared_distribution<double> ichisq102(10., 2); // Both parameters specified.
+  BOOST_CHECK_EQUAL(ichisq102.degrees_of_freedom(), 10.); // Check both parameters stored OK.
+  BOOST_CHECK_EQUAL(ichisq102.scale(), 2.); // Check both parameters stored OK.
+
+  inverse_chi_squared_distribution<double> ichisq10(10.); // Only df parameter specified (unscaled).
+  BOOST_CHECK_EQUAL(ichisq10.degrees_of_freedom(), 10.); // Check  parameter stored.
+  BOOST_CHECK_EQUAL(ichisq10.scale(), 0.1); // Check default scale = 1/df = 1/10 = 0.1
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichisq10, 1),  0.00078975346316749169, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichisq10, 10), 0.0000000012385799798186384, tol4eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(mode(ichisq10), 0.0833333333333333333333333333333333333333, tol4eps);
+  // nu * xi / nu + 2 = 10 * 0.1 / (10 + 2) = 1/12 =  0.0833333...
+  // mode is not defined in Mathematica.
+  // See Discussion section http://en.wikipedia.org/wiki/Talk:Scaled-inverse-chi-square_distribution
+  // for origin of this formula.
+
+  inverse_chi_squared_distribution<double> ichisq5(5.); // // Only df parameter specified.
+  BOOST_CHECK_EQUAL(ichisq5.degrees_of_freedom(), 5.); // check  parameter stored.
+  BOOST_CHECK_EQUAL(ichisq5.scale(), 1./5.); // check default is 1/df
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ichisq5, 0.2), 3.0510380337346841, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ichisq5, 0.5), 0.84914503608460956, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(ichisq5, 0.5)), 1 - 0.84914503608460956, tol4eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ichisq5, 0.84914503608460956), 0.5, tol4eps*100);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(ichisq5, 1. - 0.84914503608460956)), 0.5, tol4eps*100);
+
+  // Check mean, etc spot values.
+  inverse_chi_squared_distribution<double> ichisq81(8., 1.); // degrees_of_freedom = 5, scale = 1
+  BOOST_CHECK_CLOSE_FRACTION(mean(ichisq81),1.33333333333333333333333333333333333333333, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ichisq81), 0.888888888888888888888888888888888888888888888, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(skewness(ichisq81), 2 * std::sqrt(8.), tol4eps);
+  inverse_chi_squared_distribution<double> ichisq21(2., 1.);
+  BOOST_CHECK_CLOSE_FRACTION(mode(ichisq21), 0.5, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(median(ichisq21), 1.4426950408889634, tol4eps);
+
+  inverse_chi_squared ichsq4(4.); // Using typedef and degrees_of_freedom parameter (and default scale = 1/df).
+  BOOST_CHECK_EQUAL(ichsq4.degrees_of_freedom(), 4.); // df == 4.
+  BOOST_CHECK_EQUAL(ichsq4.scale(), 0.25); // scale  == 1 /df == 1/4.
+
+  inverse_chi_squared ichsq32(3, 2);
+  BOOST_CHECK_EQUAL(ichsq32.degrees_of_freedom(), 3.); // df == 3.
+  BOOST_CHECK_EQUAL(ichsq32.scale(), 2); // scale  == 2
+  
+  inverse_chi_squared ichsq11(1, 1); // Using explicit degrees_of_freedom parameter, and default scale = 1).
+  BOOST_CHECK_CLOSE_FRACTION(mode(ichsq11), 0.3333333333333333333333333333333333333333, tol4eps);
+  // (1 * 1)/ (1 + 2) = 1/3 using Wikipedia nu * xi /(nu + 2)
+  BOOST_CHECK_EQUAL(ichsq11.degrees_of_freedom(), 1.); // df == 1 (default).
+  BOOST_CHECK_EQUAL(ichsq11.scale(), 1.); // scale == 1.
+  /*
+  // Used to find some 'exact' values for testing mean, variance ...
+  // First with scale fixed at unity (Wikipedia definition 1)
+  cout << "df      scale            mean            variance              sd              median" << endl;
+  for (int degrees_of_freedom = 8; degrees_of_freedom < 30; degrees_of_freedom++)
+  {
+    inverse_chi_squared ichisq(degrees_of_freedom, 1);
+    cout.precision(17);
+    cout << degrees_of_freedom << "    "  << 1 << "  " << mean(ichisq) << ' ' 
+      << variance(ichisq) << ' ' << standard_deviation(ichisq)
+      << ' ' << median(ichisq) << endl;
+  }
+
+  // Default scale = 1 / df
+  cout << "|\n" << "df           scale          mean            variance              sd              median" << endl;
+  for (int degrees_of_freedom = 8; degrees_of_freedom < 30; degrees_of_freedom++)
+  {
+    inverse_chi_squared ichisq(degrees_of_freedom);
+    cout.precision(17);
+    cout << degrees_of_freedom << "    "  << 1./degrees_of_freedom << "  " << mean(ichisq) << ' ' 
+      << variance(ichisq) << ' ' << standard_deviation(ichisq)
+      << ' ' << median(ichisq) << endl;
+  }
+  */
+  inverse_chi_squared_distribution<> ichisq14(14, 1); // Using default RealType double.
+  BOOST_CHECK_CLOSE_FRACTION(mean(ichisq14), 1.166666666666666666666666666666666666666666666, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ichisq14), 0.272222222222222222222222222222222222222222222, tol4eps);
+
+  inverse_chi_squared_distribution<> ichisq121(12); // Using default RealType double.
+  BOOST_CHECK_CLOSE_FRACTION(mean(ichisq121),  0.1, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ichisq121), 0.0025, tol4eps);
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(ichisq121), 0.05, tol4eps);
+
+  // and "using boost::math::inverse_chi_squared_distribution;".
+  inverse_chi_squared_distribution<> ichsq23(2., 3.); // Using default RealType double.
+  BOOST_CHECK_EQUAL(ichsq23.degrees_of_freedom(), 2.); //
+  BOOST_CHECK_EQUAL(ichsq23.scale(), 3.); //
+  BOOST_MATH_CHECK_THROW(mean(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 2
+  BOOST_MATH_CHECK_THROW(variance(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 4
+  BOOST_MATH_CHECK_THROW(skewness(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 6
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(ichsq23), std::domain_error); // Degrees of freedom (nu) must be > 8
+
+  { // Check relationship between inverse gamma and inverse chi_squared distributions.
+  using boost::math::inverse_gamma_distribution;
+
+  double df = 2.;
+  double scale = 1.;
+  double alpha = df/2; // aka inv_gamma shape
+  double beta = scale /2; // inv_gamma scale.
+ 
+  inverse_gamma_distribution<> ig(alpha, beta); 
+
+  inverse_chi_squared_distribution<> ichsq(df, 1./df); // == default scale.
+  BOOST_CHECK_EQUAL(pdf(ichsq, 0), 0); // Special case of zero x.
+
+  double x = 0.5;
+  BOOST_CHECK_EQUAL(pdf(ig, x), pdf(ichsq, x)); // inv_gamma compared to inv_chisq
+  BOOST_CHECK_EQUAL(cdf(ichsq, 0), 0); // Special case of zero.
+  BOOST_CHECK_EQUAL(cdf(ig, x), cdf(ichsq, x)); // invgamma == invchisq
+
+  // Test pdf by comparing using naive_pdf with relation to inverse gamma distribution
+  // wikipedia http://en.wikipedia.org/wiki/Scaled-inverse-chi-square_distribution related distributions.
+  // So if naive_pdf is correct, inverse_chi_squared_distribution should agree.
+  df = 1.; scale = 1.;
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq11, x), tol_few_eps);
+
+  //inverse_gamma_distribution<> igd(df/2, (df * scale)/2); 
+  inverse_gamma_distribution<> igd11(df/2, df * scale/2);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(igd11, x), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq11, x), tol_few_eps);
+
+  df = 2; scale = 1;
+  inverse_gamma_distribution<> igd21(df/2, df * scale/2);
+  inverse_chi_squared_distribution<> ichsq21(df, scale);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(igd21, x), tol_few_eps); // 0.54134113294645081 OK 
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq21, x), tol_few_eps); 
+
+  df = 2; scale = 2;
+  inverse_gamma_distribution<> igd22(df/2, df * scale/2);
+  inverse_chi_squared_distribution<> ichsq22(df, scale);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(igd22, x), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(naive_pdf(df, scale, x), pdf(ichsq22, x), tol_few_eps);
+  }
+
+  // Check using float.
+  inverse_chi_squared_distribution<float> igf23(1.f, 2.f); // Using explicit RealType float.
+  BOOST_CHECK_EQUAL(igf23.degrees_of_freedom(), 1.f); //
+  BOOST_CHECK_EQUAL(igf23.scale(), 2.f); //
+  
+  // Check throws from bad parameters.
+  inverse_chi_squared ig051(0.5, 1.); // degrees_of_freedom < 1, so wrong for mean.
+  BOOST_MATH_CHECK_THROW(mean(ig051), std::domain_error);
+  inverse_chi_squared ig191(1.9999, 1.); // degrees_of_freedom < 2, so wrong for variance.
+  BOOST_MATH_CHECK_THROW(variance(ig191), std::domain_error);
+  inverse_chi_squared ig291(2.9999, 1.); // degrees_of_freedom < 3, so wrong for skewness.
+  BOOST_MATH_CHECK_THROW(skewness(ig291), std::domain_error);
+  inverse_chi_squared ig391(3.9999, 1.); // degrees_of_freedom < 1, so wrong for kurtosis and kurtosis_excess.
+  BOOST_MATH_CHECK_THROW(kurtosis(ig391), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(ig391), std::domain_error);
+  
+  inverse_chi_squared ig102(10, 2); // Wolfram.com/ page 2, quantile = 2.96859.
+  //http://reference.wolfram.com/mathematica/ref/InverseChiSquareDistribution.html
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.75), 2.96859, 0.000001); 
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ig102, 2.96859), 0.75 , 0.000001); 
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(ig102, 2.96859)), 1 - 0.75 , 0.00001); 
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(ig102, 1 - 0.75)), 2.96859, 0.000001); 
+ 
+  // Basic sanity-check spot values.
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+
+ /*    */
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_inverse_gamma_distribution.cpp b/src/boost/libs/math/test/test_inverse_gamma_distribution.cpp
new file mode 100644
index 000000000..bad1bb158
--- /dev/null
+++ b/src/boost/libs/math/test/test_inverse_gamma_distribution.cpp
@@ -0,0 +1,454 @@
+// test_inverse_gamma.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'type' was previously defined as a type
+// in Boost.test and lexical_cast
+#  pragma warning (disable : 4310) // cast truncates constant value
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+//#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
+#include "test_out_of_range.hpp"
+
+#include <boost/math/distributions/inverse_gamma.hpp> // for inverse_gamma_distribution
+using boost::math::inverse_gamma_distribution;
+using  ::boost::math::inverse_gamma;
+//  using  ::boost::math::cdf;
+//  using  ::boost::math::pdf;
+
+#include <boost/math/special_functions/gamma.hpp> 
+using boost::math::tgamma; // for naive pdf.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType shape, RealType scale, RealType x)
+{ // Formula from Wikipedia
+   using namespace std; // For ADL of std functions.
+   using boost::math::tgamma;
+   RealType result = (pow(scale, shape) * pow(x, (-shape -1)) * exp(-scale/x) ) / tgamma(shape);
+   return result;
+}
+
+// Test using a spot value from some other reference source,
+// in this case test values from output from R provided by Thomas Mang.
+
+template <class RealType>
+void test_spot(
+     RealType shape, // shape,
+     RealType scale, // scale,
+     RealType x, // random variate x,
+     RealType pd, // expected pdf,
+     RealType P, // expected CDF,
+     RealType Q, // expected complement of CDF,
+     RealType tol) // test tolerance.
+{
+   boost::math::inverse_gamma_distribution<RealType> dist(shape, scale);
+
+   BOOST_CHECK_CLOSE_FRACTION
+      ( // Compare to expected PDF.
+      pdf(dist, x), // calculated.
+      pd, // expected
+      tol);
+
+    BOOST_CHECK_CLOSE_FRACTION( // Compare to naive formula (might be less accurate).
+      pdf(dist, x), naive_pdf(dist.shape(), dist.scale(), x), tol);
+
+   BOOST_CHECK_CLOSE_FRACTION( // Compare to expected CDF.
+      cdf(dist, x), P, tol);
+
+   if((P < 0.999) && (Q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), Q, tol);
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, P), x, tol); // quantile(pdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, Q)), x, tol);
+   }
+} // test_spot
+
+// Test using a spot value from some other reference source.
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, test data is to six decimal places only
+  // so set tolerance to 0.000001 expressed as a percentage = 0.0001%.
+
+  RealType tolerance = 0.000001f; // as fraction.
+  cout << "Tolerance = " << tolerance * 100 << "%." << endl;
+
+// This test values from output from R provided by Thomas Mang.
+  test_spot(static_cast<RealType>(2), static_cast<RealType>(1), // shape, scale
+  static_cast<RealType>(2.L), // x
+  static_cast<RealType>(0.075816332464079136L), // pdf
+  static_cast<RealType>(0.90979598956895047L), // cdf
+  static_cast<RealType>(1 - 0.90979598956895047L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(1.593), static_cast<RealType>( 0.5), // shape, scale
+  static_cast<RealType>( 0.5), // x
+  static_cast<RealType>(0.82415241749687074L), // pdf
+  static_cast<RealType>(0.60648042700409865L), // cdf
+  static_cast<RealType>(1 - 0.60648042700409865L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(13.319), static_cast<RealType>(0.5), // shape, scale
+  static_cast<RealType>(0.5), // x
+  static_cast<RealType>(0.00000000068343206235379223), // pdf
+  static_cast<RealType>(0.99999999997242739L), // cdf
+  static_cast<RealType>(1 - 0.99999999997242739L), // cdf complement
+  tolerance  // tol
+  );
+
+  test_spot(static_cast<RealType>(1.593), static_cast<RealType>(1), // shape, scale
+  static_cast<RealType>(1.977), // x
+  static_cast<RealType>(0.11535946773398653L), // pdf
+  static_cast<RealType>(0.82449794420341549L), // cdf
+  static_cast<RealType>(1 - 0.82449794420341549L), // cdf complement
+  tolerance  // tol
+  );
+  
+  test_spot(static_cast<RealType>(6.666), static_cast<RealType>(1.411), // shape, scale
+  static_cast<RealType>(5), // x
+  static_cast<RealType>(0.000000084415758206386872), // pdf
+  static_cast<RealType>(0.99999993427280998L), // cdf
+  static_cast<RealType>(1 - 0.99999993427280998L), // cdf complement
+  tolerance  // tol
+  );
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad1(-1, 0), std::domain_error); // negative shape.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad2(0, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad2(-1, -1), std::domain_error); // negative scale and shape.
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-1, 0), std::domain_error); // negative shape.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(0, -1), std::domain_error); // negative scale.
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-1, -1), std::domain_error); // negative scale and shape.
+#endif
+
+  inverse_gamma_distribution<RealType> ig21(2, 1);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_MATH_CHECK_THROW(pdf(ig21, +std::numeric_limits<RealType>::infinity()), std::domain_error); // x = + infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(pdf(ig21, -std::numeric_limits<RealType>::infinity()),  std::domain_error); // x = - infinity, pdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(ig21, +std::numeric_limits<RealType>::infinity()),std::domain_error ); // x = + infinity, cdf = 1
+    BOOST_MATH_CHECK_THROW(cdf(ig21, -std::numeric_limits<RealType>::infinity()), std::domain_error); // x = - infinity, cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ig21, +std::numeric_limits<RealType>::infinity())), std::domain_error); // x = + infinity, c cdf = 0
+    BOOST_MATH_CHECK_THROW(cdf(complement(ig21, -std::numeric_limits<RealType>::infinity())), std::domain_error); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // No longer allow x to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(ig21, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(complement(ig21, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+  }
+    // Spot check for pdf using 'naive pdf' function
+  for(RealType x = 0.5; x < 5; x += 0.5)
+  {
+    BOOST_CHECK_CLOSE_FRACTION(
+      pdf(inverse_gamma_distribution<RealType>(5, 6), x),
+      naive_pdf(RealType(5), RealType(6), x),
+      tolerance);
+  }   // Spot checks for parameters:
+
+  RealType tol_few_eps = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction.
+  inverse_gamma_distribution<RealType> dist51(5, 1);
+  inverse_gamma_distribution<RealType> dist52(5, 2);
+  inverse_gamma_distribution<RealType> dist31(3, 1);
+  inverse_gamma_distribution<RealType> dist111(11, 1);
+  // 11 mean 0.10000000000000001, variance  0.0011111111111111111, sd 0.033333333333333333
+
+  RealType x = static_cast<RealType>(0.125);
+  using namespace std; // ADL of std names.
+  using namespace boost::math;
+
+  //  mean, variance etc
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist52), static_cast<RealType>(0.5), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist111), static_cast<RealType>(0.1L), tol_few_eps);
+  inverse_gamma_distribution<RealType> igamma41(static_cast<RealType>(4.), static_cast<RealType>(1.) );
+  BOOST_CHECK_CLOSE_FRACTION(mean(igamma41), static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333333L), tol_few_eps);
+  // variance:
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist51), static_cast<RealType>(0.0208333333333333333333333333333333333333333333333333L), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist31), static_cast<RealType>(0.25), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist111), static_cast<RealType>(0.001111111111111111111111111111111111111111111111111L), tol_few_eps);
+  // std deviation:
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist31), static_cast<RealType>(0.5), tol_few_eps);
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist111), static_cast<RealType>(0.0333333333333333333333333333333333333333333333333L), tol_few_eps);
+  // hazard:
+  BOOST_CHECK_CLOSE_FRACTION(hazard(dist51, x), pdf(dist51, x) / cdf(complement(dist51, x)), tol_few_eps);
+ //  cumulative hazard:
+  BOOST_CHECK_CLOSE_FRACTION(chf(dist51, x), -log(cdf(complement(dist51, x))), tol_few_eps);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE_FRACTION(coefficient_of_variation(dist51), standard_deviation(dist51) / mean(dist51), tol_few_eps);
+  // mode:
+  BOOST_CHECK_CLOSE_FRACTION(mode(dist51), static_cast<RealType>(0.166666666666666666666666666666666666666666666666666L), tol_few_eps);
+  // median
+  //BOOST_CHECK_CLOSE_FRACTION(median(dist52), static_cast<RealType>(0), tol_few_eps);
+  // Useful to have an exact median?  Failing that use a loop back test.
+   BOOST_CHECK_CLOSE_FRACTION(cdf(dist111, median(dist111)), 0.5, tol_few_eps);
+  // skewness:
+  BOOST_CHECK_CLOSE_FRACTION(skewness(dist111), static_cast<RealType>(1.5), tol_few_eps);
+   //kurtosis:
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(dist51), static_cast<RealType>(42 + 3), tol_few_eps);
+  // kurtosis excess:
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(dist51), static_cast<RealType>(42), tol_few_eps);
+
+  tol_few_eps = boost::math::tools::epsilon<RealType>() * 3; // 3 eps as a percentage.
+
+  // Special and limit cases:
+
+  if(std::numeric_limits<RealType>::is_specialized)
+  {
+    RealType mx = (std::numeric_limits<RealType>::max)();
+    RealType mi = (std::numeric_limits<RealType>::min)();
+
+     BOOST_CHECK_EQUAL(
+     pdf(inverse_gamma_distribution<RealType>(1),
+       static_cast<RealType>(mx)), // max()
+       static_cast<RealType>(0)
+       );
+
+     BOOST_CHECK_EQUAL(
+     pdf(inverse_gamma_distribution<RealType>(1),
+       static_cast<RealType>(mi)), // min()
+       static_cast<RealType>(0)
+       );
+
+  }
+
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0)), static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL(
+    pdf(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_gamma_distribution<RealType>(2), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0))
+    , static_cast<RealType>(0.0f));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_gamma_distribution<RealType>(2), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL(
+    cdf(complement(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0)))
+    , static_cast<RealType>(1));
+
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)), // shape negative.
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    pdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    cdf(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1)), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
+    static_cast<RealType>(0.5))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(-1))), std::domain_error
+    );
+  BOOST_MATH_CHECK_THROW(
+    quantile(complement(
+    inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
+    static_cast<RealType>(1.1))), std::domain_error
+    );
+   check_out_of_range<inverse_gamma_distribution<RealType> >(1, 1);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+
+  // Check that can generate inverse_gamma distribution using the two convenience methods:
+  // inverse_gamma_distribution; // with default parameters, shape = 1, scale - 1
+  using boost::math::inverse_gamma;
+  inverse_gamma ig2(2.); // Using typedef and shape parameter (and default scale = 1).
+  BOOST_CHECK_EQUAL(ig2.shape(), 2.); // scale  == 2.
+  BOOST_CHECK_EQUAL(ig2.scale(), 1.); // scale  == 1 (default).
+  inverse_gamma ig; // Using typedef, type double and default values, shape = 1 and scale = 1
+  // check default is (1, 1)
+  BOOST_CHECK_EQUAL(ig.shape(), 1.); // shape == 1
+  BOOST_CHECK_EQUAL(ig.scale(), 1.); // scale  == 1
+  BOOST_CHECK_EQUAL(mode(ig), 0.5); // mode = 1/2
+
+  // Used to find some 'exact' values for testing mean, variance ...
+ //for (int shape = 4; shape < 30; shape++)
+ // {
+ //   inverse_gamma ig(shape, 1);
+ //   cout.precision(17);
+ //   cout << shape << ' ' << mean(ig) << ' ' << variance(ig) << ' ' << standard_deviation(ig)
+ //     << ' ' << median(ig) << endl;
+ // }
+
+  // and "using boost::math::inverse_gamma_distribution;".
+  inverse_gamma_distribution<> ig23(2., 3.); // Using default RealType double.
+  BOOST_CHECK_EQUAL(ig23.shape(), 2.); //
+  BOOST_CHECK_EQUAL(ig23.scale(), 3.); //
+
+  inverse_gamma_distribution<float> igf23(1.f, 2.f); // Using explicit RealType float.
+  BOOST_CHECK_EQUAL(igf23.shape(), 1.f); //
+  BOOST_CHECK_EQUAL(igf23.scale(), 2.f); //
+  // Some tests using default double.
+  double tol5eps = boost::math::tools::epsilon<double>() * 5; // 5 eps as a fraction.
+  inverse_gamma_distribution<double> ig102(10., 2.); //
+  BOOST_CHECK_EQUAL(ig102.shape(), 10.); //
+  BOOST_CHECK_EQUAL(ig102.scale(), 2.); //
+  // formatC(SuppDists::dinvGauss(10, 1, 0.5), digits=17)[1] "0.0011774669940754754"
+  BOOST_CHECK_CLOSE_FRACTION(pdf(ig102, 0.5), 0.1058495335284024, tol5eps);
+  // formatC(SuppDists::pinvGauss(10, 1, 0.5), digits=17) [1] "0.99681494462166653"
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ig102, 0.5), 0.99186775720306608, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.05), 0.12734622346137681, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.5), 0.20685272858879727, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.95),  0.36863602680851204, tol5eps);
+  // Check mean, etc spot values.
+  inverse_gamma_distribution<double> ig51(5., 1.); // shape = 5, scale = 1
+  BOOST_CHECK_CLOSE_FRACTION(mean(ig51), 0.25, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(variance(ig51), 0.0208333333333333333333333333333333333333333, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(skewness(ig51), 2 * std::sqrt(3.), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(ig51), 42, tol5eps);
+  // mode and median
+  inverse_gamma_distribution<double> ig21(1., 2.);
+  BOOST_CHECK_CLOSE_FRACTION(mode(ig21), 1, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(median(ig21), 2.8853900817779268, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(ig21, 0.5), 2.8853900817779268, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(ig21, median(ig21)), 0.5, tol5eps);
+
+    // Check throws from bad parameters.
+  inverse_gamma ig051(0.5, 1.); // shape < 1, so wrong for mean.
+  BOOST_MATH_CHECK_THROW(mean(ig051), std::domain_error);
+  inverse_gamma ig191(1.9999, 1.); // shape < 2, so wrong for variance.
+  BOOST_MATH_CHECK_THROW(variance(ig191), std::domain_error);
+  inverse_gamma ig291(2.9999, 1.); // shape < 3, so wrong for skewness.
+  BOOST_MATH_CHECK_THROW(skewness(ig291), std::domain_error);
+  inverse_gamma ig391(3.9999, 1.); // shape < 1, so wrong for kurtosis and kurtosis_excess.
+  BOOST_MATH_CHECK_THROW(kurtosis(ig391), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(ig391), std::domain_error);
+
+  // Basic sanity-check spot values.
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+------ Build started: Project: test_inverse_gamma_distribution, Configuration: Release Win32 ------
+  test_inverse_gamma_distribution.cpp
+  Generating code
+  Finished generating code
+  test_inverse_gamma_distribution.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_inverse_gamma_distribution.exe
+  Running 1 test case...
+  Tolerance = 0.0001%.
+  Tolerance = 0.0001%.
+  Tolerance = 0.0001%.
+  Tolerance = 0.0001%.
+
+  *** No errors detected
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_inverse_gaussian.cpp b/src/boost/libs/math/test/test_inverse_gaussian.cpp
new file mode 100644
index 000000000..2bb530312
--- /dev/null
+++ b/src/boost/libs/math/test/test_inverse_gaussian.cpp
@@ -0,0 +1,355 @@
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'type' was previously defined as a type
+// in Boost.test and lexical_cast
+#  pragma warning (disable : 4310) // cast truncates constant value
+#  pragma warning (disable : 4512) // assignment operator could not be generated
+
+#endif
+
+//#include <pch.hpp> // include directory libs/math/src/tr1/ is needed.
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/inverse_gaussian.hpp>
+using boost::math::inverse_gaussian_distribution;
+using boost::math::inverse_gaussian;
+
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+using std::setprecision;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void check_inverse_gaussian(RealType mean, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+ using boost::math::inverse_gaussian_distribution;
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(   // Check cdf
+    inverse_gaussian_distribution<RealType>(mean, scale),      // distribution.
+    x),    // random variable.
+    p,     // probability.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf( // Check cdf complement
+    complement( 
+    inverse_gaussian_distribution<RealType>(mean, scale),   // distribution.
+    x)),   // random variable.
+    q,      // probability complement.
+    tol);    // %tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile
+    inverse_gaussian_distribution<RealType>(mean, scale),    // distribution.
+    p),   // probability.
+    x,   // random variable.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile complement
+    complement(
+    inverse_gaussian_distribution<RealType>(mean, scale),   // distribution.
+    q)),   // probability complement.
+    x,     // random variable.
+    tol);  // tolerance.
+
+   inverse_gaussian_distribution<RealType> dist (mean, scale);
+
+   if((p < 0.999) && (q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), q, tol); // 1 - cdf
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, p), x, tol); // quantile(cdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, q)), x, tol); // quantile(complement(1 - cdf)) = x
+   }
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // Basic sanity checks
+  RealType tolerance = static_cast<RealType>(1e-4L); // 
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << endl;
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType> nbad1(0, 0), std::domain_error); // zero scale
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType> nbad1(0, -1), std::domain_error); // negative scale
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType>(0, 0), std::domain_error); // zero scale
+  BOOST_MATH_CHECK_THROW(boost::math::inverse_gaussian_distribution<RealType>(0, -1), std::domain_error); // negative scale
+#endif
+
+  inverse_gaussian_distribution<RealType> w11;
+
+  // Error tests:
+  check_out_of_range<inverse_gaussian_distribution<RealType> >(0.25, 1);
+  
+  // Check complements.
+
+    BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(w11, 1.)), static_cast<RealType>(1) - cdf(w11, 1.), tolerance); // cdf complement
+    // cdf(complement = 1 - cdf  - but if cdf near unity, then loss of accuracy in cdf,
+    // but cdf complement is near zero but more accurate.
+
+     BOOST_CHECK_CLOSE_FRACTION( // quantile(complement p) == quantile(1 - p)
+     quantile(complement(w11, static_cast<RealType>(0.5))), 
+     quantile(w11, 1 - static_cast<RealType>(0.5)),
+     tolerance); // cdf complement
+
+  check_inverse_gaussian(
+     static_cast<RealType>(2),
+     static_cast<RealType>(3),
+     static_cast<RealType>(1),
+     static_cast<RealType>(0.28738674440477374),
+     static_cast<RealType>(1 - 0.28738674440477374),
+     tolerance);
+
+  RealType tolfeweps = boost::math::tools::epsilon<RealType>() * 5;
+
+  inverse_gaussian_distribution<RealType> dist(2, 3);
+
+  using namespace std; // ADL of std names.
+  // mean:
+  BOOST_CHECK_CLOSE_FRACTION(mean(dist),
+    static_cast<RealType>(2), tolfeweps);
+  BOOST_CHECK_CLOSE_FRACTION(scale(dist),
+    static_cast<RealType>(3), tolfeweps);
+
+  // variance:
+  BOOST_CHECK_CLOSE_FRACTION(variance(dist),
+    static_cast<RealType>(2.6666666666666666666666666666666666666666666666666666666667L), 1000*tolfeweps);
+  // std deviation:
+  BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist), 
+    static_cast<RealType>(1.632993L), 1000 * tolerance);
+  //// hazard:
+  //BOOST_CHECK_CLOSE_FRACTION(hazard(dist, x),
+  //  pdf(dist, x) / cdf(complement(dist, x)), tolerance);
+  //// cumulative hazard:
+  //BOOST_CHECK_CLOSE_FRACTION(chf(dist, x),
+  //  -log(cdf(complement(dist, x))), tolerance);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE_FRACTION(coefficient_of_variation(dist),
+    standard_deviation(dist) / mean(dist), tolerance);
+  // mode:
+  BOOST_CHECK_CLOSE_FRACTION(mode(dist),
+    static_cast<RealType>(0.8284271L), tolerance);
+
+  // median
+  BOOST_CHECK_CLOSE_FRACTION(median(dist),
+    static_cast<RealType>(1.5122506636053668L), tolerance);
+  // Fails for real_concept - because std::numeric_limits<RealType>::digits = 0
+
+  // skewness:
+  BOOST_CHECK_CLOSE_FRACTION(skewness(dist),
+    static_cast<RealType>(2.449490L), tolerance);
+  // kurtosis:
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis(dist),
+    static_cast<RealType>(10-3), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(dist),
+    static_cast<RealType>(10), tolerance);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  using boost::math::inverse_gaussian;
+  using boost::math::inverse_gaussian_distribution;
+
+  //int precision = 17; // std::numeric_limits<double::max_digits10;
+  double tolfeweps = numeric_limits<double>::epsilon() * 5;
+  //double tol6decdigits = numeric_limits<float>::epsilon() * 2;
+  // Check that can generate inverse_gaussian distribution using the two convenience methods:
+  boost::math::inverse_gaussian w12(1., 2); // Using typedef
+  inverse_gaussian_distribution<> w23(2., 3); // Using default RealType double.
+  boost::math::inverse_gaussian w11; // Use default unity values for mean and scale.
+  // Note NOT myn01() as the compiler will interpret as a function!
+  BOOST_CHECK_EQUAL(w11.mean(), 1);
+  BOOST_CHECK_EQUAL(w11.scale(), 1);
+  BOOST_CHECK_EQUAL(w23.mean(), 2);
+  BOOST_CHECK_EQUAL(w23.scale(), 3);
+  BOOST_CHECK_EQUAL(w23.shape(), 1.5L);
+
+  // Check the synonyms, provided to allow generic use of find_location and find_scale.
+  BOOST_CHECK_EQUAL(w11.mean(), w11.location());
+  BOOST_CHECK_EQUAL(w11.scale(), w11.scale());
+
+  BOOST_CHECK_CLOSE_FRACTION(mean(w11), static_cast<double>(1), tolfeweps); // Default mean == unity
+  BOOST_CHECK_CLOSE_FRACTION(scale(w11), static_cast<double>(1), tolfeweps); // Default mean == unity
+
+  // median
+  // (test double because fails for real_concept because numeric_limits<real_concept>::digits = 0)
+  BOOST_CHECK_CLOSE_FRACTION(median(w11),
+    static_cast<double>(0.67584130569523893), tolfeweps);
+  BOOST_CHECK_CLOSE_FRACTION(median(w23),
+    static_cast<double>(1.5122506636053668), tolfeweps);
+  
+  // Initial spot tests using double values from R.
+  // library(SuppDists)
+  // formatC(SuppDists::dinverse_gaussian(1, 1, 1), digits=17) ...
+  BOOST_CHECK_CLOSE_FRACTION( //  x = 1
+    pdf(w11, 1.), static_cast<double>(0.3989422804014327), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 1.), static_cast<double>(0.66810200122317065), 10 * tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 0.1), static_cast<double>(0.21979480031862672), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.1), static_cast<double>(0.0040761113207110162), 10 * tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION( // small x
+    pdf(w11, 0.01), static_cast<double>(2.0811768202028392e-19), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.01), static_cast<double>(4.122313403318778e-23), 10 * tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION( // smaller x
+    pdf(w11, 0.001), static_cast<double>(2.4420044378793562e-213),  tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.001), static_cast<double>(4.8791443010851493e-219), 1000 * tolfeweps); // cdf
+  // 4.8791443010859224e-219 versus 4.8791443010851493e-219 so still 14 decimal digits.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.66810200122317065), static_cast<double>(1.), 1 * tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.0040761113207110162), static_cast<double>(0.1), 1 * tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 4.122313403318778e-23), 0.01, 1 * tolfeweps); // quantile
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 2.4420044378793562e-213), 0.001, 0.03); // quantile
+  // quantile 0.001026926242348481 compared to expected 0.001, so much less accurate,
+  // but better than R that gives up completely!
+  // R Error in SuppDists::qinverse_gaussian(4.87914430108515e-219, 1, 1) : Infinite value in NewtonRoot()
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 0.5), static_cast<double>(0.87878257893544476), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.5), static_cast<double>(0.3649755481729598), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 2), static_cast<double>(0.10984782236693059), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 2), static_cast<double>(.88547542598600637), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 10), static_cast<double>(0.00021979480031862676), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 10), static_cast<double>(0.99964958546279115), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 100), static_cast<double>(2.0811768202028246e-25), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 100), static_cast<double>(1), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w11, 1000), static_cast<double>(2.4420044378793564e-222), 10 * tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 1000), static_cast<double>(1.), tolfeweps); // cdf
+
+  // A few more misc tests, probably not very useful.  
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 1.), static_cast<double>(0.66810200122317065), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.1), static_cast<double>(0.0040761113207110162), tolfeweps * 5); // cdf
+  // 0.0040761113207110162   0.0040761113207110362
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.2), static_cast<double>(0.063753567519976254), tolfeweps * 5); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.5), static_cast<double>(0.3649755481729598), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.9), static_cast<double>(0.62502320258649202), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.99), static_cast<double>(0.66408247396139031), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 0.999), static_cast<double>(0.66770275955311675), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 10.), static_cast<double>(0.99964958546279115), tolfeweps); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w11, 50.), static_cast<double>(0.99999999999992029), tolfeweps); // cdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.3649755481729598), static_cast<double>(0.5), tolfeweps); // quantile
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.62502320258649202), static_cast<double>(0.9), tolfeweps); // quantile
+  BOOST_CHECK_CLOSE_FRACTION(
+    quantile(w11, 0.0040761113207110162), static_cast<double>(0.1), tolfeweps); // quantile
+
+  // Wald(2,3) tests
+  // ===================
+  BOOST_CHECK_CLOSE_FRACTION( // formatC(SuppDists::dinvGauss(1, 2, 3), digits=17) "0.47490884963330904"
+    pdf(w23, 1.), static_cast<double>(0.47490884963330904), tolfeweps ); // pdf
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w23, 0.1), static_cast<double>(2.8854207087665401e-05), tolfeweps * 2); // pdf
+  //2.8854207087665452e-005 2.8854207087665401e-005
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w23, 10.), static_cast<double>(0.0019822751498574636), tolfeweps); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w23, 10.), static_cast<double>(0.0019822751498574636), tolfeweps); // pdf
+
+  // Bigger changes in mean and scale.
+
+  inverse_gaussian w012(0.1, 2);
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w012, 1.), static_cast<double>(3.7460367141230404e-36), tolfeweps ); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w012, 1.), static_cast<double>(1), tolfeweps ); // pdf
+
+  inverse_gaussian w0110(0.1, 10);
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w0110, 1.), static_cast<double>(1.6279643678071011e-176), 100 * tolfeweps ); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w0110, 1.), static_cast<double>(1), tolfeweps ); // cdf
+  BOOST_CHECK_CLOSE_FRACTION(
+     cdf(complement(w0110, 1.)), static_cast<double>(3.2787685715328683e-179), 1e6 * tolfeweps ); // cdf complement
+  // Differs because of loss of accuracy.
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    pdf(w0110, 0.1), static_cast<double>(39.894228040143268), tolfeweps ); // pdf
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(w0110, 0.1), static_cast<double>(0.51989761564832704), 10 * tolfeweps ); // cdf
+
+    // Basic sanity-check spot values for all floating-point types..
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+  /*      */
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_jacobi.cpp b/src/boost/libs/math/test/test_jacobi.cpp
new file mode 100644
index 000000000..d4e7cc0aa
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi.cpp
@@ -0,0 +1,135 @@
+//  Copyright John Maddock 2012
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include <test_jacobi.hpp>
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Jacobi Elliptic Functions.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Mathworld.*",               // test data group
+      ".*", 500, 250);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Large Phi.*",               // test data group
+      ".*", 50000, 5000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*near 1.*",               // test data group
+      ".*", 7000, 500);            // test function
+
+   if(std::numeric_limits<long double>::digits == 64)
+   {
+      //
+      // Some errors spill over into double precision:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                  // test type(s)
+         ".*Large Phi.*",                  // test data group
+         ".*", 500, 50);                // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                  // test type(s)
+         ".*near 1.*",                  // test data group
+         ".*", 10, 5);                // test function
+   }
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 50, 20);               // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+
+    test_spots(0.0F, "float");
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+    
+}
diff --git a/src/boost/libs/math/test/test_jacobi.hpp b/src/boost/libs/math/test/test_jacobi.hpp
new file mode 100644
index 000000000..b6023ae69
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi.hpp
@@ -0,0 +1,190 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/jacobi_elliptic.hpp>
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_sn(T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SN_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef SN_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = SN_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::jacobi_sn<value_type, value_type>;
+#else
+    value_type (*fp2)(value_type, value_type) = boost::math::jacobi_sn;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_sn", test);
+
+#ifdef CN_FUNCTION_TO_TEST
+    fp2 = CN_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    fp2 = boost::math::jacobi_cn<value_type, value_type>;
+#else
+    fp2 = boost::math::jacobi_cn;
+#endif
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(3));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_cn", test);
+
+#ifdef SN_FUNCTION_TO_TEST
+    fp2 = DN_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    fp2 = boost::math::jacobi_dn<value_type, value_type>;
+#else
+    fp2 = boost::math::jacobi_dn;
+#endif
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(4));
+    handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_dn", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's Sn/Cn/Dn accepts k^2 as the second parameter.
+    // Arguments here are theta, k, sn, cn, dn
+    static const boost::array<boost::array<T, 5>, 36> data1 = {{
+        {{ SC_(0.0), SC_(0.0), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ ldexp(T(1), -25), ldexp(T(1), -25), SC_(2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ -ldexp(T(1), -25), ldexp(T(1), -25), SC_(-2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }},
+        {{ SC_(0.25), ldexp(T(1), -25), SC_(0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(-0.25), ldexp(T(1), -25), SC_(-0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }},
+        {{ SC_(1.25), ldexp(T(1), -25), SC_(0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(-1.25), ldexp(T(1), -25), SC_(-0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }},
+        {{ SC_(25.0), ldexp(T(1), -25), SC_(-0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ SC_(-25.0), ldexp(T(1), -25), SC_(0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }},
+        {{ ldexp(T(1), -25), SC_(0.5), SC_(2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ -ldexp(T(1), -25), SC_(0.5), SC_(-2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }},
+        {{ SC_(0.25), SC_(0.5), SC_(0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(-0.25), SC_(0.5), SC_(-0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }},
+        {{ SC_(1.25), SC_(0.5), SC_(0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(-1.25), SC_(0.5), SC_(-0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }},
+        {{ SC_(25.0), SC_(0.5), SC_(-0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ SC_(-25.0), SC_(0.5), SC_(0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }},
+        {{ ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ -ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(-2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }},
+        {{ SC_(0.25), 1 - ldexp(T(1), -9), SC_(0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(-0.25), 1 - ldexp(T(1), -9), SC_(-0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }},
+        {{ SC_(1.25), 1 - ldexp(T(1), -9), SC_(0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(-1.25), 1 - ldexp(T(1), -9), SC_(-0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }},
+        {{ SC_(25.0), 1 - ldexp(T(1), -9), SC_(-0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+        {{ SC_(-25.0), 1 - ldexp(T(1), -9), SC_(0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }},
+
+        // Try modulus > 1
+        {{ ldexp(T(1), -25), SC_(1.5), SC_(2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ -ldexp(T(1), -25), SC_(1.5), SC_(-2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }},
+        {{ SC_(0.25), SC_(1.5), SC_(0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(-0.25), SC_(1.5), SC_(-0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }},
+        {{ SC_(1.25), SC_(1.5), SC_(0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(-1.25), SC_(1.5), SC_(-0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }},
+        {{ SC_(25.0), SC_(1.5), SC_(0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+        {{ SC_(-25.0), SC_(1.5), SC_(-0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }},
+
+        // Special Values:
+        {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(1.0), SC_(1.0) }},
+        {{ SC_(5.0), SC_(0.0), SC_(-0.958924274663138468893154406155993973352461543964601778131672), SC_(0.283662185463226264466639171513557308334422592252215944930359), SC_(1.0) }},
+        {{ SC_(5.0), SC_(1.0), SC_(0.999909204262595131210990447534473021089812615990547862736429), SC_(0.0134752822213045573055191382448821552908373539417006868332819), SC_(0.0134752822213045573055191382448821552908373539417006868332819) }},
+    }};
+    do_test_sn<T>(data1, type_name, "Jacobi Elliptic: Mathworld Data");
+
+#include "jacobi_elliptic.ipp"
+    do_test_sn<T>(jacobi_elliptic, type_name, "Jacobi Elliptic: Random Data");
+#include "jacobi_elliptic_small.ipp"
+    do_test_sn<T>(jacobi_elliptic_small, type_name, "Jacobi Elliptic: Random Small Values");
+#include "jacobi_near_1.ipp"
+    do_test_sn<T>(jacobi_near_1, type_name, "Jacobi Elliptic: Modulus near 1");
+#include "jacobi_large_phi.ipp"
+    do_test_sn<T>(jacobi_large_phi, type_name, "Jacobi Elliptic: Large Phi");
+
+    //
+    // Sanity checks for all the various derived functions - these are all
+    // trivial wrappers around the main three that are tested above - so just
+    // use a simple sanity check for each one.
+    // Test values are from functions.wolfram.com:
+    //
+    T tol = boost::math::tools::epsilon<T>() * 100;
+    boost::math::policies::policy<> pol;
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cd(T(0.5), T(0.5)), static_cast<T>(0.905869360370352996327275878479104183407762212476128499788493L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cd(T(0.5), T(0.5), pol), static_cast<T>(0.905869360370352996327275878479104183407762212476128499788493L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cn(T(0.5), T(0.5)), static_cast<T>(0.879941022963758342138211939938800035594045353539382810624647L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cn(T(0.5), T(0.5), pol), static_cast<T>(0.879941022963758342138211939938800035594045353539382810624647L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cs(T(0.5), T(0.5)), static_cast<T>(1.85218402142505803268146025319200184620073865036147924150565L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_cs(T(0.5), T(0.5), pol), static_cast<T>(1.85218402142505803268146025319200184620073865036147924150565L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dc(T(0.5), T(0.5)), static_cast<T>(1.10391193669599654696698383614539220889596741980833071370343L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dc(T(0.5), T(0.5), pol), static_cast<T>(1.10391193669599654696698383614539220889596741980833071370343L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dn(T(0.5), T(0.5)), static_cast<T>(0.971377398838178842823315157470233933307542433588855341182382L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_dn(T(0.5), T(0.5), pol), static_cast<T>(0.971377398838178842823315157470233933307542433588855341182382L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ds(T(0.5), T(0.5)), static_cast<T>(2.04464805020871497502900445828888632133468724223115900866414L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ds(T(0.5), T(0.5), pol), static_cast<T>(2.04464805020871497502900445828888632133468724223115900866414L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nc(T(0.5), T(0.5)), static_cast<T>(1.13643979983097851593855424992691981204889859711476187519109L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nc(T(0.5), T(0.5), pol), static_cast<T>(1.13643979983097851593855424992691981204889859711476187519109L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nd(T(0.5), T(0.5)), static_cast<T>(1.02946599457230050141998045852435702297405263760707971258676L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_nd(T(0.5), T(0.5), pol), static_cast<T>(1.02946599457230050141998045852435702297405263760707971258676L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ns(T(0.5), T(0.5)), static_cast<T>(2.10489563855842977359275221390569031239706339764770047142101L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_ns(T(0.5), T(0.5), pol), static_cast<T>(2.10489563855842977359275221390569031239706339764770047142101L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sc(T(0.5), T(0.5)), static_cast<T>(0.539903156723383602910722041849329275299051877814755451255071L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sc(T(0.5), T(0.5), pol), static_cast<T>(0.539903156723383602910722041849329275299051877814755451255071L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sd(T(0.5), T(0.5)), static_cast<T>(0.489081727242945953222289853693492188561192086497066116267160L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sd(T(0.5), T(0.5), pol), static_cast<T>(0.489081727242945953222289853693492188561192086497066116267160L), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sn(T(0.5), T(0.5)), static_cast<T>(0.475082936028536510082218324703870258745078171807428948028252L), tol);
+    BOOST_CHECK_CLOSE_FRACTION(boost::math::jacobi_sn(T(0.5), T(0.5), pol), static_cast<T>(0.475082936028536510082218324703870258745078171807428948028252L), tol);
+
+}
+
diff --git a/src/boost/libs/math/test/test_jacobi_zeta.cpp b/src/boost/libs/math/test/test_jacobi_zeta.cpp
new file mode 100644
index 000000000..77f33efb1
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi_zeta.cpp
@@ -0,0 +1,100 @@
+//  Copyright John Maddock 2015
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_jacobi_zeta.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Elliptic Integral D[phi|k].
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 15, 6);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    expected_results();
+    BOOST_MATH_CONTROL_FP;
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+    test_spots(0.0F, "float");
+#endif
+    test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_jacobi_zeta.hpp b/src/boost/libs/math/test/test_jacobi_zeta.hpp
new file mode 100644
index 000000000..a8cc26f71
--- /dev/null
+++ b/src/boost/libs/math/test/test_jacobi_zeta.hpp
@@ -0,0 +1,94 @@
+// Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4756) // overflow in constant arithmetic
+// Constants are too big for float case, but this doesn't matter for test.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+//#include <boost/math/special_functions/next.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, typename T>
+void do_test_jacobi_zeta(const T& data, const char* type_name, const char* test)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(JACOBI_ZETA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef JACOBI_ZETA_FUNCTION_TO_TEST
+   value_type(*fp2)(value_type, value_type) = JACOBI_ZETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+    value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
+#else
+   value_type(*fp2)(value_type, value_type) = boost::math::jacobi_zeta;
+#endif
+    boost::math::tools::test_result<value_type> result;
+
+    result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp2, 1, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "jacobi_zeta", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename T>
+void test_spots(T, const char* type_name)
+{
+    BOOST_MATH_STD_USING
+    // Function values calculated on http://functions.wolfram.com/
+    // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
+    static const boost::array<boost::array<T, 3>, 18> data1 = {{
+       { { SC_(0.5), SC_(0.5), SC_(0.055317014255129651475392155709691519) } },
+       { { SC_(-0.5), SC_(0.5), SC_(-0.055317014255129651475392155709691519) } },
+        { { SC_(0), SC_(0.5), SC_(0) } },
+        { { SC_(1), T(0.5), SC_(0.061847782565098669252626761181452815) } },
+//        { { boost::math::float_prior(boost::math::constants::half_pi<T>()), T(0.5), SC_(0) } },
+        { { SC_(1), T(0), SC_(0) } },
+        { { SC_(1), T(1), SC_(0.84147098480789650665250232163029900) } },
+        { { SC_(2), T(0.5), SC_(-0.051942537457672732722176231281435254) } },
+        { { SC_(5), T(0.5), SC_(-0.037609329968145259476447488930872898) } },
+        { { SC_(0.5), SC_(1), SC_(0.479425538604203000273287935215571388081803367940600675188616) } },
+       { { boost::math::constants::half_pi<T>() - static_cast<T>(1) / 1024, SC_(1), SC_(0.999999523162879692486369202949889069215510235208243466564977) } },
+       { { boost::math::constants::half_pi<T>() + static_cast<T>(1) / 1024, SC_(1), SC_(-0.999999523162879692486369202949889069215510235208243466564977) } },
+       { { SC_(2), SC_(1), SC_(-0.90929742682568169539601986591174484270225497144789026837897) } },
+       { { SC_(3), SC_(1), SC_(-0.14112000805986722210074480280811027984693326425226558415188) } },
+       { { SC_(4), SC_(1), SC_(0.756802495307928251372639094511829094135912887336472571485416) } },
+        { { SC_(-0.5), SC_(1), SC_(-0.479425538604203000273287935215571388081803367940600675188616) } },
+       { { SC_(-2), SC_(1), SC_(0.90929742682568169539601986591174484270225497144789026837897) } },
+       { { SC_(-3), SC_(1), SC_(0.14112000805986722210074480280811027984693326425226558415188) } },
+       { { SC_(-4), SC_(1), SC_(-0.756802495307928251372639094511829094135912887336472571485416) } },
+    }};
+
+    do_test_jacobi_zeta<T>(data1, type_name, "Elliptic Integral Jacobi Zeta: Mathworld Data");
+
+#include "jacobi_zeta_data.ipp"
+
+    do_test_jacobi_zeta<T>(jacobi_zeta_data, type_name, "Elliptic Integral Jacobi Zeta: Random Data");
+
+#include "jacobi_zeta_big_phi.ipp"
+
+    do_test_jacobi_zeta<T>(jacobi_zeta_big_phi, type_name, "Elliptic Integral Jacobi Zeta: Large Phi Values");
+}
+
diff --git a/src/boost/libs/math/test/test_laguerre.cpp b/src/boost/libs/math/test/test_laguerre.cpp
new file mode 100644
index 000000000..f934e84f5
--- /dev/null
+++ b/src/boost/libs/math/test/test_laguerre.cpp
@@ -0,0 +1,173 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_laguerre.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Laguerre polynomials.  
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux special cases, error rates seem to be much higher here
+   // even though the implementation contains nothing but basic
+   // arithmetic?
+   //
+   if((std::numeric_limits<long double>::digits <= 64)
+      && (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits))
+   {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 10, 5);                  // test function
+#endif
+   }
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux.*|Mac OS|Sun.*",        // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux.*|Mac OS|Sun.*",        // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      "GNU.*",                   // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      "GNU.*",                   // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 40000, 1000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "IBM Aix",                     // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 5000, 500);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "IBM Aix",                     // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 5000, 500);            // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 4000, 500);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 4000, 500);  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_laguerre(0.1F, "float");
+#endif
+   test_laguerre(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_laguerre(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_laguerre(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_laguerre.hpp b/src/boost/libs/math/test/test_laguerre.hpp
new file mode 100644
index 000000000..a0542d121
--- /dev/null
+++ b/src/boost/libs/math/test/test_laguerre.hpp
@@ -0,0 +1,139 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_laguerre2(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LAGUERRE_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, value_type);
+#ifdef LAGUERRE_FUNCTION_TO_TEST
+   pg funcp = LAGUERRE_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::laguerre<value_type>;
+#else
+   pg funcp = boost::math::laguerre;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test laguerre against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int1<Real>(funcp, 0, 1), 
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, x)", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_laguerre3(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ASSOC_LAGUERRE_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(unsigned, unsigned, value_type);
+#ifdef ASSOC_LAGUERRE_FUNCTION_TO_TEST
+   pg funcp = ASSOC_LAGUERRE_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::laguerre<unsigned, value_type>;
+#else
+   pg funcp = boost::math::laguerre;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test laguerre against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func_int2<Real>(funcp, 0, 1, 2), 
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, m, x)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_laguerre(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "laguerre2.ipp"
+
+   do_test_laguerre2<T>(laguerre2, name, "Laguerre Polynomials");
+
+#  include "laguerre3.ipp"
+
+   do_test_laguerre3<T>(laguerre3, name, "Associated Laguerre Polynomials");
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100;
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(0.5L)), static_cast<T>(0.5L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(0.5L)), static_cast<T>(-0.3307291666666666666666666666666666666667L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(0.5L)), static_cast<T>(-0.5183392237103174603174603174603174603175L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(0.5L)), static_cast<T>(0.3120174870800154148915399248893113634676L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(0.5L)), static_cast<T>(-0.3181388060269979064951118308575628226834L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(-0.5L)), static_cast<T>(1.5L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(-0.5L)), static_cast<T>(3.835937500000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(-0.5L)), static_cast<T>(7.950934709821428571428571428571428571429L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(-0.5L)), static_cast<T>(76.12915699869631476833699787070874048223L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(-0.5L)), static_cast<T>(2307.428631277506570629232863491518399720L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(4.5L)), static_cast<T>(-3.500000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(4.5L)), static_cast<T>(0.08593750000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(4.5L)), static_cast<T>(-1.036928013392857142857142857142857142857L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(4.5L)), static_cast<T>(1.437239150257817378525582974722170737587L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(4.5L)), static_cast<T>(-0.7795068145562651416494321484050019245248L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, 5, static_cast<T>(0.5L)), static_cast<T>(88.31510416666666666666666666666666666667L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 0, static_cast<T>(2.5L)), static_cast<T>(-0.8802526766660982969576719576719576719577L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 1, static_cast<T>(4.5L)), static_cast<T>(1.564311458042689732142857142857142857143L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 6, static_cast<T>(8.5L)), static_cast<T>(20.51596541066649098875661375661375661376L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 12, static_cast<T>(12.5L)), static_cast<T>(-199.5560968456234671241181657848324514991L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, 40, static_cast<T>(12.5L)), static_cast<T>(-4.996769495006119488583146995907246595400e16L), tolerance);
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w.cpp b/src/boost/libs/math/test/test_lambert_w.cpp
new file mode 100644
index 000000000..59e591a49
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w.cpp
@@ -0,0 +1,1157 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w.cpp
+//! \brief Basic sanity tests for Lambert W function using algorithms
+// informed by Thomas Luu, Darko Veberic and Tosio Fukushima for W0
+// and rational polynomials by John Maddock.
+
+// #define BOOST_MATH_TEST_MULTIPRECISION  // Add tests for several multiprecision types (not just built-in).
+// #define BOOST_MATH_TEST_FLOAT128 // Add test using float128 type (GCC only, needing gnu++17 and quadmath library).
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+// Needs gnu++17 for BOOST_HAS_FLOAT128
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+//#define BOOST_TEST_LOG_LEVEL all  // Appears not to work???
+// run with --log_level="message"
+
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+
+#ifdef BOOST_MATH_TEST_MULTIPRECISION
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_50
+using boost::multiprecision::cpp_dec_float_50;
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_quad;
+
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+
+#ifdef BOOST_HAS_FLOAT128
+// Including this header below without float128 triggers:
+// fatal error C1189: #error:  "Sorry compiler is neither GCC, not Intel, don't know how to configure this header."
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif // ifdef BOOST_HAS_FLOAT128
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+
+#endif //   #ifdef BOOST_MATH_TEST_MULTIPRECISION
+
+//#include <boost/fixed_point/fixed_point.hpp> // If available.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept tests.
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, isfinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include "table_type.hpp"
+
+#ifndef SC_
+#  define SC_(x) boost::lexical_cast<typename table_type<T>::type>(BOOST_STRINGIZE(x))
+#endif
+
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <exception>
+
+std::string show_versions(void);
+
+//! Build a message of information about build, architecture, address model, platform, ...
+std::string show_versions(void)
+{
+  // Some of this information can also be obtained from running with a Custom Post-build step
+  // adding the option --build_info=yes
+    // "$(TargetDir)$(TargetName).exe" --build_info=yes
+
+  std::ostringstream message;
+
+  message << "Program: " << __FILE__ << "\n";
+#ifdef __TIMESTAMP__
+  message << __TIMESTAMP__;
+#endif
+  message << "\nBuildInfo:\n" "  Platform " << BOOST_PLATFORM;
+  // http://stackoverflow.com/questions/1505582/determining-32-vs-64-bit-in-c
+#if defined(__LP64__) || defined(_WIN64) || (defined(__x86_64__) && !defined(__ILP32__) ) || defined(_M_X64) || defined(__ia64) || defined (_M_IA64) || defined(__aarch64__) || defined(__powerpc64__)
+  message << ", 64-bit.";
+#else
+  message << ", 32-bit.";
+#endif
+
+  message << "\n  Compiler " BOOST_COMPILER;
+#ifdef BOOST_MSC_VER
+#ifdef _MSC_FULL_VER
+  message << "\n  MSVC version " << BOOST_STRINGIZE(_MSC_FULL_VER) << ".";
+#endif
+#ifdef __WIN64
+  mess age << "\n WIN64" << std::endl;
+#endif // __WIN64
+#ifdef _WIN32
+  message << "\n WIN32" << std::endl;
+#endif  // __WIN32
+#endif
+#ifdef __GNUC__
+  //PRINT_MACRO(__GNUC__);
+  //PRINT_MACRO(__GNUC_MINOR__);
+  //PRINT_MACRO(__GNUC_PATCH__);
+  std::cout << "GCC " << __VERSION__ << std::endl;
+  //PRINT_MACRO(LONG_MAX);
+#endif // __GNUC__
+
+#ifdef __MINGW64__
+std::cout << "MINGW64 " << __MINGW32_MAJOR_VERSION << __MINGW32_MINOR_VERSION << std::endl;
+//
+//  << __MINGW64_MAJOR_VERSION << __MINGW64_MINOR_VERSION << std::endl; not declared in this scope???
+#endif // __MINGW64__
+
+#ifdef __MINGW32__
+std::cout << "MINGW64 " << __MINGW32_MAJOR_VERSION << __MINGW32_MINOR_VERSION << std::endl;
+#endif // __MINGW32__
+
+  message << "\n  STL " << BOOST_STDLIB;
+  message << "\n  Boost version " << BOOST_VERSION / 100000 << "." << BOOST_VERSION / 100 % 1000 << "." << BOOST_VERSION % 100;
+
+#ifdef BOOST_MATH_TEST_MULTIPRECISION
+  message << "\nBOOST_MATH_TEST_MULTIPRECISION defined for multiprecision tests. " << std::endl;
+#else
+ message << "\nBOOST_MATH_TEST_MULTIPRECISION not defined so NO multiprecision tests. " << std::endl;
+#endif // BOOST_MATH_TEST_MULTIPRECISION
+
+#ifdef BOOST_HAS_FLOAT128
+  message << "BOOST_HAS_FLOAT128 is defined." << std::endl;
+#endif // ifdef BOOST_HAS_FLOAT128
+
+  message << std::endl;
+  return message.str();
+} // std::string show_versions()
+
+
+template <class T>
+void wolfram_test_moderate_values()
+{
+   //
+   // Spots of moderate value http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-1%2Fe%2Bi,+50%5D,+N%5BLambertW%5B-1%2Fe%2Bi%5D,+50%5D%5D,+%7Bi,+1%2F8,+6,+1%2F8%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 96/2> wolfram_test_small_neg =
+   {{ 
+      {{ SC_(-0.24287944117144232159552377016146086744581113103177), SC_(-0.34187241316000572901412382650748493957063539755395) }},{{ SC_(-0.11787944117144232159552377016146086744581113103177), SC_(-0.13490446826612135454875992607636577833255418182633) }},{{ SC_(0.0071205588285576784044762298385391325541888689682322), SC_(0.0070703912528860797819274709355398032954165697080076) }},{{ SC_(0.13212055882855767840447622983853913255418886896823), SC_(0.11747650174894814471295063763686399700941650918302) }},{{ SC_(0.25712055882855767840447622983853913255418886896823), SC_(0.20869089404810562424547046857454995304964242368484) }},{{ SC_(0.38212055882855767840447622983853913255418886896823), SC_(0.28683366713002653952708635029764106993377156175310) }},{{ SC_(0.50712055882855767840447622983853913255418886896823), SC_(0.35542749308004931507852679571061486656821523044053) }},{{ SC_(0.63212055882855767840447622983853913255418886896823), SC_(0.41670399881776590750659327292575356285757792776250) }},{{ SC_(0.75712055882855767840447622983853913255418886896823), SC_(0.47217430075943420437939326812963066971059146681283) }},{{ SC_(0.88212055882855767840447622983853913255418886896823), SC_(0.52291321715862065064992942239384690347359852107504) }},{{ SC_(1.0071205588285576784044762298385391325541888689682), SC_(0.56971477154593975582335630229323210831843899740884) }},{{ SC_(1.1321205588285576784044762298385391325541888689682), SC_(0.61318350578224462394572352964726524514921241969798) }},{{ SC_(1.2571205588285576784044762298385391325541888689682), SC_(0.65379115237566259933564436658873734121781110980034) }},{{ SC_(1.3821205588285576784044762298385391325541888689682), SC_(0.69191341320406026236753559968630177636780741203666) }},{{ SC_(1.5071205588285576784044762298385391325541888689682), SC_(0.72785472286747598788295903283683432537852776142064) }},{{ SC_(1.6321205588285576784044762298385391325541888689682), SC_(0.76186544538805130363636977458614856100481979440639) }},{{ SC_(1.7571205588285576784044762298385391325541888689682), SC_(0.79415413501531119849043049331889268136479923750037) }},{{ SC_(1.8821205588285576784044762298385391325541888689682), SC_(0.82489647878345700122288701550494847447982817483512) }},{{ SC_(2.0071205588285576784044762298385391325541888689682), SC_(0.85424194939386899439722948096520865643710851410970) }},{{ SC_(2.1321205588285576784044762298385391325541888689682), SC_(0.88231884173371311472940735780441644004275449741412) }},{{ SC_(2.2571205588285576784044762298385391325541888689682), SC_(0.90923814516532488963517314558961057510689871415824) }},{{ SC_(2.3821205588285576784044762298385391325541888689682), SC_(0.93509656212104191797135657485515114635876341802516) }},{{ SC_(2.5071205588285576784044762298385391325541888689682), SC_(0.95997889061117906067636869169049106690165665554172) }},{{ SC_(2.6321205588285576784044762298385391325541888689682), SC_(0.98395992590529701946948066548039809917492328184099) }},{{ SC_(2.7571205588285576784044762298385391325541888689682), SC_(1.0071059939771381126732041109492705496242899774655) }},{{ SC_(2.8821205588285576784044762298385391325541888689682), SC_(1.0294761995723706229651673877352399077168142413723) }},{{ SC_(3.0071205588285576784044762298385391325541888689682), SC_(1.0511234507020167125769191146012321442040919222298) }},{{ SC_(3.1321205588285576784044762298385391325541888689682), SC_(1.0720953062286332723365148290552887215464891915069) }},{{ SC_(3.2571205588285576784044762298385391325541888689682), SC_(1.0924346821831089228990349517861599064007594751702) }},{{ SC_(3.3821205588285576784044762298385391325541888689682), SC_(1.1121804443118533629930276674418322662764569673766) }},{{ SC_(3.5071205588285576784044762298385391325541888689682), SC_(1.1313679082795201044696522785560810652358663683706) }},{{ SC_(3.6321205588285576784044762298385391325541888689682), SC_(1.1500292643692387775614691790201052907317404963905) }},{{ SC_(3.7571205588285576784044762298385391325541888689682), SC_(1.1681939400299161555212785901786587344721733034978) }},{{ SC_(3.8821205588285576784044762298385391325541888689682), SC_(1.1858889109341735194685896928615740804115521714257) }},{{ SC_(4.0071205588285576784044762298385391325541888689682), SC_(1.2031389691267953962289622785796365085402661808452) }},{{ SC_(4.1321205588285576784044762298385391325541888689682), SC_(1.2199669552139996161903252772502362264684476580522) }},{{ SC_(4.2571205588285576784044762298385391325541888689682), SC_(1.2363939602597347325278067608637615539794532870296) }},{{ SC_(4.3821205588285576784044762298385391325541888689682), SC_(1.2524395020361026107226019920575290018966524482736) }},{{ SC_(4.5071205588285576784044762298385391325541888689682), SC_(1.2681216794607666389159742215265331040507889789444) }},{{ SC_(4.6321205588285576784044762298385391325541888689682), SC_(1.2834573083995295018572263393035905604511320189369) }},{{ SC_(4.7571205588285576784044762298385391325541888689682), SC_(1.2984620414827281167361144981111712803667945033184) }},{{ SC_(4.8821205588285576784044762298385391325541888689682), SC_(1.3131504741533499076663954559108617687274731330916) }},{{ SC_(5.0071205588285576784044762298385391325541888689682), SC_(1.3275362388125116267199919229657120782894307415376) }},{{ SC_(5.1321205588285576784044762298385391325541888689682), SC_(1.3416320886383928057123774168081846145768561516693) }},{{ SC_(5.2571205588285576784044762298385391325541888689682), SC_(1.3554499724155634924134183248962114419200302481356) }},{{ SC_(5.3821205588285576784044762298385391325541888689682), SC_(1.3690011015132087699425938733927188719869603184010) }},{{ SC_(5.5071205588285576784044762298385391325541888689682), SC_(1.3822960099853765706075495327819109601506356054327) }},{{ SC_(5.6321205588285576784044762298385391325541888689682), SC_(1.3953446086279755263512146907828727538440007615239) }} 
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 4;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_small_neg.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_small_neg[i][0])), T(wolfram_test_small_neg[i][1]), tolerance);
+   }
+}
+
+template <class T>
+void wolfram_test_small_pos()
+{
+   //
+   // Spots near zero and positive http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5BPi+*+10%5Ei,+50%5D,+N%5BLambertW%5BPi+*+10%5Ei%5D,+50%5D%5D,+%7Bi,+-25,+-1%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 25> wolfram_test_small_neg =
+   {{ 
+      {{ SC_(3.1415926535897932384626433832795028841971693993751e-25), SC_(3.1415926535897932384626423963190627752613075159265e-25) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-24), SC_(3.1415926535897932384626335136751017948385505649306e-24) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-23), SC_(3.1415926535897932384625446872354919906109810591160e-23) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-22), SC_(3.1415926535897932384616564228393939483352864153693e-22) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-21), SC_(3.1415926535897932384527737788784135255783814177903e-21) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-20), SC_(3.1415926535897932383639473392686092980134754308784e-20) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-19), SC_(3.1415926535897932374756829431705670227788144495920e-19) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-18), SC_(3.1415926535897932285930389821901443118720934199487e-18) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-17), SC_(3.1415926535897931397665993723859213467937614455864e-17) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-16), SC_(3.1415926535897922515022032743441060948982739088029e-16) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-15), SC_(3.1415926535897833688582422939673934647266189937296e-15) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-14), SC_(3.1415926535896945424186324943442560413318839066091e-14) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-13), SC_(3.1415926535888062780225349125117696393347268403158e-13) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-12), SC_(3.1415926535799236340616005340756885831699803736331e-12) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-11), SC_(3.1415926534910971944564007385929431896486546006413e-11) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-10), SC_(3.1415926526028327988188016713407935109104110982749e-10) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-9), SC_(3.1415926437201888838826995251371676507148394412103e-9) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-8), SC_(3.1415925548937538785102994823474670579278874210259e-8) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-7), SC_(3.1415916666298182234172285804275105377159084331529e-7) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e-6), SC_(3.1415827840319013043684920305205420694740106954961e-6) }},{{ SC_(0.000031415926535897932384626433832795028841971693993751), SC_(0.000031414939621964641052828244109272729597989570861172) }},{{ SC_(0.00031415926535897932384626433832795028841971693993751), SC_(0.00031406061579842362125003023838529350597159230209458) }},{{ SC_(0.0031415926535897932384626433832795028841971693993751), SC_(0.0031317693004296877733926356188004473035977501714541) }},{{ SC_(0.031415926535897932384626433832795028841971693993751), SC_(0.030473027596269883517196555192955092247613270959259) }},{{ SC_(0.31415926535897932384626433832795028841971693993751), SC_(0.24571751376320572448656753973370462139374436325987) }} 
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 3;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_small_neg.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_small_neg[i][0])), T(wolfram_test_small_neg[i][1]), tolerance);
+   }
+}
+
+template <class T>
+void wolfram_test_small_neg()
+{
+   //
+   // Spots near zero and negative http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-Pi+*+10%5Ei,+50%5D,+N%5BLambertW%5B-Pi+*+10%5Ei%5D,+50%5D%5D,+%7Bi,+-25,+-1%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 70/2> wolfram_test_small_neg =
+   {{ 
+      {{ SC_(-3.1415926535897932384626433832795028841971693993751e-25), SC_(-3.1415926535897932384626443702399429931330312828247e-25) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-24), SC_(-3.1415926535897932384626532528839039735557882339126e-24) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-23), SC_(-3.1415926535897932384627420793235137777833577489360e-23) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-22), SC_(-3.1415926535897932384636303437196118200590533135692e-22) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-21), SC_(-3.1415926535897932384725129876805922428160503997900e-21) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-20), SC_(-3.1415926535897932385613394272903964703901652508759e-20) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-19), SC_(-3.1415926535897932394496038233884387465457126495672e-19) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-18), SC_(-3.1415926535897932483322477843688615495410754197010e-18) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-17), SC_(-3.1415926535897933371586873941730937234835814431099e-17) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-16), SC_(-3.1415926535897942254230834922158298617964738845526e-16) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-15), SC_(-3.1415926535898031080670444726846311337086192655470e-15) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-14), SC_(-3.1415926535898919345066542815166327311524009447840e-14) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-13), SC_(-3.1415926535907801989027527842355365380542172227242e-13) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-12), SC_(-3.1415926535996628428637792513133580846848848572500e-12) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-11), SC_(-3.1415926536884892824781879109701525247983589696795e-11) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-10), SC_(-3.1415926545767536790366733956272068630669876574730e-10) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-9), SC_(-3.1415926634593976860614172823213018318134944055260e-9) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-8), SC_(-3.1415927522858419002979913741894684038594384671969e-8) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-7), SC_(-3.1415936405506984418084674995072645049396296346958e-7) }},{{ SC_(-3.1415926535897932384626433832795028841971693993751e-6), SC_(-3.1416025232407040026008819016148803316716797067967e-6) }},{{ SC_(-0.000031415926535897932384626433832795028841971693993751), SC_(-0.000031416913542850054076094590477471913042739704497976) }},{{ SC_(-0.00031415926535897932384626433832795028841971693993751), SC_(-0.00031425800793839694440655801311183879569843264709852) }},{{ SC_(-0.0031415926535897932384626433832795028841971693993751), SC_(-0.0031515090287677856656576839914749012339811781712486) }},{{ SC_(-0.031415926535897932384626433832795028841971693993751), SC_(-0.032452164493239992272463616095775075564894751832128) }},{{ SC_(-0.31415926535897932384626433832795028841971693993751), SC_(-0.53804834513759287053587977755877044660611017981968) }},
+      {{ SC_(-0.090099009900990099009900990099009900990099009900990), SC_(-0.099527797075226962190621767732039397602197803169897)}},{{ SC_(-0.080198019801980198019801980198019801980198019801980), SC_(-0.087534530933383521242151071722737877728489741787814) }},{{ SC_(-0.070297029702970297029702970297029702970297029702970), SC_(-0.075835379000403488962496062196568904002201151736290) }},{{ SC_(-0.060396039603960396039603960396039603960396039603960), SC_(-0.064414449758822413858363348099340678962612835311800) }},{{ SC_(-0.050495049504950495049504950495049504950495049504950), SC_(-0.053257171600878093079366736202964706966166164696873) }},{{ SC_(-0.040594059405940594059405940594059405940594059405941), SC_(-0.042350146588050412657332988380168720859403591863698) }},{{ SC_(-0.030693069306930693069306930693069306930693069306931), SC_(-0.031681024260949098136757222042165581145138786336298) }},{{ SC_(-0.020792079207920792079207920792079207920792079207921), SC_(-0.021238392251213645736199359110665662967213312773617) }},{{ SC_(-0.010891089108910891089108910891089108910891089108911), SC_(-0.011011681049909946810068329378571761407667575030714) }},{{ SC_(-0.00099009900990099009900990099009900990099009900990099), SC_(-0.00099108076440319890968631186785975507712384928918616) }}
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 3;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_small_neg.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_small_neg[i][0])), T(wolfram_test_small_neg[i][1]), tolerance);
+   }
+}
+
+template <class T>
+void wolfram_test_large(const boost::true_type&)
+{
+   //
+   // Spots near the singularity from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-1%2Fe%2B2%5E-i,+50%5D,+N%5BLambertW%5B-1%2Fe+%2B+2%5E-i%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 28/2> wolfram_test_large_data =
+   { {
+      {{ SC_(3.1415926535897932384626433832795028841971693993751e350), SC_(800.36444525326526998205084284403447902093784176640) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e400), SC_(915.35945025352715923124904626896745356022974283730) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e450), SC_(1030.3703481552571717312484086444052442055003737018) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e500), SC_(1145.3937726197879355969554296951287620979399652268) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e550), SC_(1260.4273249433458391941776841900870933799293511610) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e600), SC_(1375.4692354682341092954911299903937009237749971748) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e650), SC_(1490.5181612342761763990969379122584268166707632003) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e700), SC_(1605.5730589637597079362569020729894833435943718597) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e750), SC_(1720.6331020467166402802313799793443913873949058922) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e800), SC_(1835.6976244160526737141293452999638879204852786698) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e850), SC_(1950.7660814940759743605616247252782614446819652848) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e900), SC_(2065.8380223354646200773160641407055989098916114637) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e950), SC_(2180.9130693229593212006354812037286740424563145700) }},{{ SC_(3.1415926535897932384626433832795028841971693993751e1000), SC_(2295.9909030845346718801238821248991904602625884450) }}
+   } };
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (std::numeric_limits<T>::digits10 > 40)
+      tolerance *= 3;  // arbitrary precision types have lower accuracy on exp(z).
+   for (unsigned i = 0; i < wolfram_test_large_data.size(); ++i)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_large_data[i][0])), T(wolfram_test_large_data[i][1]), tolerance);
+   }
+}
+template <class T>
+void wolfram_test_large(const boost::false_type&){}
+
+template <class T>
+void wolfram_test_large() 
+{
+   wolfram_test_large<T>(boost::integral_constant<bool, (std::numeric_limits<T>::max_exponent10 > 1000)>());
+}
+
+
+template <class T>
+void wolfram_test_near_singularity()
+{
+   //
+   // Spots near the singularity from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5B-1%2Fe%2B2%5E-i,+50%5D,+N%5BLambertW%5B-1%2Fe+%2B+2%5E-i%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 39> wolfram_test_near_singularity_data =
+   {{ 
+      { { SC_(-0.11787944117144233402427744294982403516769409179688), SC_(-0.13490446826612137099065142885543349308605449591189) } },{ { SC_(-0.24287944117144233402427744294982403516769409179688), SC_(-0.34187241316000575559631565516533717918703951393828) } },{ { SC_(-0.30537944117144233402427744294982403516769409179688), SC_(-0.50704532478540670242736394530166187052909039079642) } },{ { SC_(-0.33662944117144233402427744294982403516769409179688), SC_(-0.63562321628494791544895212508757067989859372121549) } },{ { SC_(-0.35225444117144233402427744294982403516769409179688), SC_(-0.73357201771558852140844624841371893543359405991894) } },{ { SC_(-0.36006694117144233402427744294982403516769409179688), SC_(-0.80685912552602238275976720505076149562188136941981) } },{ { SC_(-0.36397319117144233402427744294982403516769409179688), SC_(-0.86091151614390373770305184939107560322835214525382) } },{ { SC_(-0.36592631617144233402427744294982403516769409179688), SC_(-0.90033567669608907987528169545609510444951296636737) } },{ { SC_(-0.36690287867144233402427744294982403516769409179688), SC_(-0.92884889586304130900291705545970353898661233095513) } },{ { SC_(-0.36739115992144233402427744294982403516769409179688), SC_(-0.94934196763921122756108351994184213101752011076782) } },{ { SC_(-0.36763530054644233402427744294982403516769409179688), SC_(-0.96400324129495105632485735566132352543383271582526) } },{ { SC_(-0.36775737085894233402427744294982403516769409179688), SC_(-0.97445736712728703357755243595334553847237474201138) } },{ { SC_(-0.36781840601519233402427744294982403516769409179688), SC_(-0.98189372378619472154195350108189165241865132390473) } },{ { SC_(-0.36784892359331733402427744294982403516769409179688), SC_(-0.98717434434269671591894280580432721487757138768109) } },{ { SC_(-0.36786418238237983402427744294982403516769409179688), SC_(-0.99091955260257317141206161906086819616043312707614) } },{ { SC_(-0.36787181177691108402427744294982403516769409179688), SC_(-0.99357346775773151586057357459040504547191256911173) } },{ { SC_(-0.36787562647417670902427744294982403516769409179688), SC_(-0.99545290640175819861266174073519228782773422561472) } },{ { SC_(-0.36787753382280952152427744294982403516769409179688), SC_(-0.99678329264937600678258333756796350065436689760936) } },{ { SC_(-0.36787848749712592777427744294982403516769409179688), SC_(-0.99772473035978895659981485126201758865515569761514) } },{ { SC_(-0.36787896433428413089927744294982403516769409179688), SC_(-0.99839078411548014765525278348680286544429555739338) } },{ { SC_(-0.36787920275286323246177744294982403516769409179688), SC_(-0.99886193379608135520603487963907992157933985302350) } },{ { SC_(-0.36787932196215278324302744294982403516769409179688), SC_(-0.99919517626703684624524893082905669989578841060892) } },{ { SC_(-0.36787938156679755863365244294982403516769409179688), SC_(-0.99943085896775657378245957087668418410735469441835) } },{ { SC_(-0.36787941136911994632896494294982403516769409179688), SC_(-0.99959753415605033951327478977234592072050509074480) } },{ { SC_(-0.36787942627028114017662119294982403516769409179688), SC_(-0.99971540249082798050505534900918173321899800190957) } },{ { SC_(-0.36787943372086173710044931794982403516769409179688), SC_(-0.99979875358003464529770521637722571161846456343102) } },{ { SC_(-0.36787943744615203556236338044982403516769409179688), SC_(-0.99985769449598686744630754715710430111838645655608) } },{ { SC_(-0.36787943930879718479332041169982403516769409179688), SC_(-0.99989937341527312969776294577792175610005161268265) } },{ { SC_(-0.36787944024011975940879892732482403516769409179688), SC_(-0.99992884556078314715423832743355922518662235135757) } },{ { SC_(-0.36787944070578104671653818513732403516769409179688), SC_(-0.99994968586433278794146581248117772412549843583586) } },{ { SC_(-0.36787944093861169037040781404357403516769409179688), SC_(-0.99996442235919152892644019456912452486892832990114) } },{ { SC_(-0.36787944105502701219734262849669903516769409179688), SC_(-0.99997484272221444495021480907850566954322542216868) } },{ { SC_(-0.36787944111323467311081003572326153516769409179688), SC_(-0.99998221107553951227244139186618591264285119372063) } },{ { SC_(-0.36787944114233850356754373933654278516769409179688), SC_(-0.99998742131038091608107093454795869661238860012568) } },{ { SC_(-0.36787944115689041879591059114318341016769409179688), SC_(-0.99999110551424805741455916942650424910940130482916) } },{ { SC_(-0.36787944116416637641009401704650372266769409179688), SC_(-0.99999371064603396347995131962984747427523504609782) } },{ { SC_(-0.36787944116780435521718572999816387891769409179688), SC_(-0.99999555275622895023796382943893319302015254415029) } },{ { SC_(-0.36787944116962334462073158647399395704269409179688), SC_(-0.99999685532777825691586263781552103878671869687024) } },{ { SC_(-0.36787944117053283932250451471190899610519409179688), SC_(-0.99999777638786151731498560321162974199505119200634) } }
+   }};
+   T tolerance = boost::math::tools::epsilon<T>() * 3;
+   if (boost::math::tools::epsilon<T>() <= boost::math::tools::epsilon<long double>())
+      tolerance *= 5e5;
+   T endpoint = -boost::math::constants::exp_minus_one<T>();
+   for (unsigned i = 0; i < wolfram_test_near_singularity_data.size(); ++i)
+   {
+      if (wolfram_test_near_singularity_data[i][0] <= endpoint)
+         break;
+      else
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(T(wolfram_test_near_singularity_data[i][0])), T(wolfram_test_near_singularity_data[i][1]), tolerance);
+   }
+}
+
+template <>
+void wolfram_test_near_singularity<float>()
+{
+   //
+   // Spot values near the singularity with inputs truncated to float precision,
+   // from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5BROUND%5B-1%2Fe%2B2%5E-i,+2%5E-23%5D,+50%5D,+N%5BLambertW%5BROUND%5B-1%2Fe+%2B+2%5E-i,+2%5E-23%5D%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<float, 2>, 39> wolfram_test_near_singularity_data =
+   {{ 
+      {{ -0.11787939071655273437500000000000000000000000000000f, -0.13490440151978599948261696847702203722148729212591f }},{{ -0.24287939071655273437500000000000000000000000000000f, -0.34187230524883404685074938529655332889057132590877f }},{{ -0.30537939071655273437500000000000000000000000000000f, -0.50704515484245965628066570100405225451296978841169f }},{{ -0.33662939071655273437500000000000000000000000000000f, -0.63562295482810970976475066480034941107064440641758f }},{{ -0.35225439071655273437500000000000000000000000000000f, -0.73357162334066102207977288738307124189083069773180f }},{{ -0.36006689071655273437500000000000000000000000000000f, -0.80685854013946199386910756662972252220827924037205f }},{{ -0.36397314071655273437500000000000000000000000000000f, -0.86091065811941702413570870801021404654934249886505f }},{{ -0.36592626571655273437500000000000000000000000000000f, -0.90033443111682454984393817004965279949925483847744f }},{{ -0.36690282821655273437500000000000000000000000000000f, -0.92884710067602836873486989954484681592392882968841f }},{{ -0.36739110946655273437500000000000000000000000000000f, -0.94933939406123900376318336910404763737960907662666f }},{{ -0.36763525009155273437500000000000000000000000000000f, -0.96399956611859464483214118051190513364901860207328f }},{{ -0.36775732040405273437500000000000000000000000000000f, -0.97445213361280651797731195324654593603807971082292f }},{{ -0.36781835556030273437500000000000000000000000000000f, -0.98188628650256330812037232517657284107351472091741f }},{{ -0.36784887313842773437500000000000000000000000000000f, -0.98716379155663346207408852364078406478772014890806f }},{{ -0.36786413192749023437500000000000000000000000000000f, -0.99090459761086986284393759319956676727684106186028f }},{{ -0.36787176132202148437500000000000000000000000000000f, -0.99355229825129408828026714426677096743753950457546f }},{{ -0.36787557601928710937500000000000000000000000000000f, -0.99542297991285328482403963994064328331346049089419f }},{{ -0.36787748336791992187500000000000000000000000000000f, -0.99674107062291256263133271694520294422529881114769f }},{{ -0.36787843704223632812500000000000000000000000000000f, -0.99766536478294767461296564658785293377699068226332f }},{{ -0.36787891387939453125000000000000000000000000000000f, -0.99830783438342654552199009076049244789994050996944f }},{{ -0.36787915229797363281250000000000000000000000000000f, -0.99874733565614076859582844941545958416543067187493f }},{{ -0.36787927150726318359375000000000000000000000000000f, -0.99903989590053869025356285499889881633845057984872f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }},{{ -0.36787939071655273437500000000000000000000000000000f, -0.99947635367299698033494423493356278945921228277354f }} 
+   }};
+   float tolerance = boost::math::tools::epsilon<float>() * 16;
+   float endpoint = -boost::math::constants::exp_minus_one<float>();
+   for (unsigned i = 0; i < wolfram_test_near_singularity_data.size(); ++i)
+   {
+      if (wolfram_test_near_singularity_data[i][0] <= endpoint)
+         break;
+      else
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(wolfram_test_near_singularity_data[i][0]), wolfram_test_near_singularity_data[i][1], tolerance);
+   }
+}
+
+template <>
+void wolfram_test_near_singularity<double>()
+{
+   //
+   // Spot values near the singularity with inputs truncated to double precision,
+   // from http://www.wolframalpha.com/input/?i=TABLE%5B%5BN%5BROUND%5B-1%2Fe%2B2%5E-i,+2%5E-23%5D,+50%5D,+N%5BLambertW%5BROUND%5B-1%2Fe+%2B+2%5E-i,+2%5E-23%5D%5D,+50%5D%5D,+%7Bi,+2,+40%7D%5D
+   //
+   static const boost::array<boost::array<double, 2>, 39> wolfram_test_near_singularity_data =
+   {{ 
+      {{ -0.11787944117144233402427744294982403516769409179688, -0.13490446826612137099065142885543349308605449591189 }},{{ -0.24287944117144233402427744294982403516769409179688, -0.34187241316000575559631565516533717918703951393828 }},{{ -0.30537944117144233402427744294982403516769409179688, -0.50704532478540670242736394530166187052909039079642 }},{{ -0.33662944117144233402427744294982403516769409179688, -0.63562321628494791544895212508757067989859372121549 }},{{ -0.35225444117144233402427744294982403516769409179688, -0.73357201771558852140844624841371893543359405991894 }},{{ -0.36006694117144233402427744294982403516769409179688, -0.80685912552602238275976720505076149562188136941981 }},{{ -0.36397319117144233402427744294982403516769409179688, -0.86091151614390373770305184939107560322835214525382 }},{{ -0.36592631617144233402427744294982403516769409179688, -0.90033567669608907987528169545609510444951296636737 }},{{ -0.36690287867144233402427744294982403516769409179688, -0.92884889586304130900291705545970353898661233095513 }},{{ -0.36739115992144233402427744294982403516769409179688, -0.94934196763921122756108351994184213101752011076782 }},{{ -0.36763530054644233402427744294982403516769409179688, -0.96400324129495105632485735566132352543383271582526 }},{{ -0.36775737085894233402427744294982403516769409179688, -0.97445736712728703357755243595334553847237474201138 }},{{ -0.36781840601519233402427744294982403516769409179688, -0.98189372378619472154195350108189165241865132390473 }},{{ -0.36784892359331733402427744294982403516769409179688, -0.98717434434269671591894280580432721487757138768109 }},{{ -0.36786418238237983402427744294982403516769409179688, -0.99091955260257317141206161906086819616043312707614 }},{{ -0.36787181177691108402427744294982403516769409179688, -0.99357346775773151586057357459040504547191256911173 }},{{ -0.36787562647417670902427744294982403516769409179688, -0.99545290640175819861266174073519228782773422561472 }},{{ -0.36787753382280952152427744294982403516769409179688, -0.99678329264937600678258333756796350065436689760936 }},{{ -0.36787848749712592777427744294982403516769409179688, -0.99772473035978895659981485126201758865515569761514 }},{{ -0.36787896433428413089927744294982403516769409179688, -0.99839078411548014765525278348680286544429555739338 }},{{ -0.36787920275286323246177744294982403516769409179688, -0.99886193379608135520603487963907992157933985302350 }},{{ -0.36787932196215278324302744294982403516769409179688, -0.99919517626703684624524893082905669989578841060892 }},{{ -0.36787938156679755863365244294982403516769409179688, -0.99943085896775657378245957087668418410735469441835 }},{{ -0.36787941136911994632896494294982403516769409179688, -0.99959753415605033951327478977234592072050509074480 }},{{ -0.36787942627028114017662119294982403516769409179688, -0.99971540249082798050505534900918173321899800190957 }},{{ -0.36787943372086173710044931794982403516769409179688, -0.99979875358003464529770521637722571161846456343102 }},{{ -0.36787943744615203556236338044982403516769409179688, -0.99985769449598686744630754715710430111838645655608 }},{{ -0.36787943930879718479332041169982403516769409179688, -0.99989937341527312969776294577792175610005161268265 }},{{ -0.36787944024011975940879892732482403516769409179688, -0.99992884556078314715423832743355922518662235135757 }},{{ -0.36787944070578104671653818513732403516769409179688, -0.99994968586433278794146581248117772412549843583586 }},{{ -0.36787944093861169037040781404357403516769409179688, -0.99996442235919152892644019456912452486892832990114 }},{{ -0.36787944105502701219734262849669903516769409179688, -0.99997484272221444495021480907850566954322542216868 }},{{ -0.36787944111323467311081003572326153516769409179688, -0.99998221107553951227244139186618591264285119372063 }},{{ -0.36787944114233850356754373933654278516769409179688, -0.99998742131038091608107093454795869661238860012568 }},{{ -0.36787944115689041879591059114318341016769409179688, -0.99999110551424805741455916942650424910940130482916 }},{{ -0.36787944116416637641009401704650372266769409179688, -0.99999371064603396347995131962984747427523504609782 }},{{ -0.36787944116780435521718572999816387891769409179688, -0.99999555275622895023796382943893319302015254415029 }},{{ -0.36787944116962334462073158647399395704269409179688, -0.99999685532777825691586263781552103878671869687024 }},{{ -0.36787944117053283932250451471190899610519409179688, -0.99999777638786151731498560321162974199505119200634 }} 
+   }};
+   double tolerance = boost::math::tools::epsilon<double>() * 5;
+   if (std::numeric_limits<double>::digits >= std::numeric_limits<long double>::digits)
+      tolerance *= 1e5;
+   else if (std::numeric_limits<double>::digits * 2 >= std::numeric_limits<long double>::digits)
+      tolerance *= 5e4;
+   double endpoint = -boost::math::constants::exp_minus_one<double>();
+   for (unsigned i = 0; i < wolfram_test_near_singularity_data.size(); ++i)
+   {
+      if (wolfram_test_near_singularity_data[i][0] <= endpoint)
+         break;
+      else
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::lambert_w0(wolfram_test_near_singularity_data[i][0]), wolfram_test_near_singularity_data[i][1], tolerance);
+   }
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // (Unused Parameter value, arbitrarily zero, only communicates the floating point type).
+  // test_spots(0.F); test_spots(0.); test_spots(0.L);
+
+  using boost::math::lambert_w0;
+  using boost::math::lambert_wm1;
+  using boost::math::constants::exp_minus_one;
+  using boost::math::constants::e;
+  using boost::math::policies::policy;
+
+  /*  Example of an exception-free 'ignore_all' policy (possibly ill-advised?).
+  */
+  typedef policy <
+    boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+    boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+    boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+    boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+  > ignore_all_policy;
+
+//  Test some bad parameters to the function, with default policy and also with ignore_all policy.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_CHECK_THROW(lambert_w0<RealType>(-1.), std::domain_error);
+  BOOST_CHECK_THROW(lambert_wm1<RealType>(-1.), std::domain_error);
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+     BOOST_CHECK_THROW(lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // Would be NaN.
+     //BOOST_CHECK_EQUAL(lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN(), ignore_all_policy()), std::numeric_limits<RealType>::quiet_NaN()); // Should be NaN.
+     // Fails as NaN != NaN by definition.
+     BOOST_CHECK(boost::math::isnan(lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN(), ignore_all_policy())));
+     //BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::infinity(), ignore_all_policy()), std::numeric_limits<RealType::infinity()); // infinity.
+  }
+
+  // BOOST_CHECK_THROW(lambert_w0<RealType>(std::numeric_limits<RealType>::infinity()), std::domain_error); // Was if infinity should throw, now infinity.
+  BOOST_CHECK_THROW(lambert_w0<RealType>(-static_cast<RealType>(0.4)), std::domain_error); // Would be complex.
+
+#else // No exceptions, so set policy to ignore and check result is NaN.
+  BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::quiet_NaN(), ignore_all_policy()), std::numeric_limits<RealType::quiet_NaN()); // NaN.
+  BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::infinity(), ignore_all_policy()), std::numeric_limits<RealType::infinity()); // infinity.
+  BOOST_MATH_CHECK_EQUAL(boost::math::lambert_w0<RealType>(std::numeric_limits<RealType>::infinity(), ignore_all_policy()), std::numeric_limits<RealType::infinity()); // infinity.
+#endif
+
+  std::cout << "\nTesting type " << typeid(RealType).name() << std::endl;
+  int epsilons = 2;
+  if (std::numeric_limits<RealType>::digits > 53)
+  { // Multiprecision types.
+    epsilons *= 8; // (Perhaps needed because need slightly longer (55) reference values?).
+  }
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * epsilons; // 2 eps as a fraction.
+  std::cout << "Tolerance " << epsilons << " * epsilon == " << tolerance << std::endl;
+#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
+  std::cout << "Precision " << std::numeric_limits<RealType>::digits10 << " decimal digits, max_digits10 = " << std::numeric_limits <RealType>::max_digits10<< std::endl;
+  // std::cout.precision(std::numeric_limits<RealType>::digits10);
+  std::cout.precision(std::numeric_limits <RealType>::max_digits10);
+#endif
+  std::cout.setf(std::ios_base::showpoint);  // show trailing significant zeros.
+  std::cout << "-exp(-1) = " << -exp_minus_one<RealType>() << std::endl;
+
+  wolfram_test_near_singularity<RealType>();
+  wolfram_test_large<RealType>();
+  wolfram_test_small_neg<RealType>();
+  wolfram_test_small_pos<RealType>();
+  wolfram_test_moderate_values<RealType>();
+
+  // Test at singularity.
+  // RealType test_value = BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527);
+  RealType singular_value = -exp_minus_one<RealType>();
+  // -exp(-1) = -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527
+  // lambert_w0[-0.367879441171442321595523770161460867445811131031767834] == -1
+  //           -0.36787945032119751
+  RealType minus_one_value = BOOST_MATH_TEST_VALUE(RealType, -1.);
+  //std::cout << "singular_value " << singular_value << ", expected Lambert W = " << minus_one_value << std::endl;
+
+  BOOST_CHECK_CLOSE_FRACTION( // Check -exp(-1) = -0.367879450 = -1max
+    lambert_w0(singular_value),
+    minus_one_value,
+    tolerance);  // OK
+
+  BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1
+    lambert_w0<RealType>(-exp_minus_one<RealType>()),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+  // Tests with some spot values computed using
+  // https://www.wolframalpha.com/input
+  // For example: N[lambert_w[1], 50] outputs:
+  // 0.56714329040978387299996866221035554975381578718651
+
+  // At branch junction singularity.
+  BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.091276527160862264299895721423179568653119224051472),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.2)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.2)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.16891597349910956511647490370581839872844691351073),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.2)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.5)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.351733711249195826024909300929951065171464215517111804046),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.5)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.56714329040978387299996866221035554975381578718651),
+   // Output from https://www.wolframalpha.com/input/?i=lambert_w0(1)
+   tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 2.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.852605502013725491346472414695317466898453300151403508772),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(2.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.049908894964039959988697070552897904589466943706341452932),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(3.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 5.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.326724665242200223635099297758079660128793554638047479789),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.5)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 6.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.432404775898300311234078007212058694786434608804302025655),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(6)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 100.)),
+    BOOST_MATH_TEST_VALUE(RealType, 3.3856301402900501848882443645297268674916941701578),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(100)
+    tolerance);
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_THROW(lambert_w0(std::numeric_limits<RealType>::infinity()), std::overflow_error); // If should throw exception for infinity.
+    //BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::infinity()), +std::numeric_limits<RealType>::infinity()); // message is:
+    // Error in "test_types": class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::overflow_error> > :
+    // Error in function boost::math::lambert_w0<RealType>(<RealType>) : Argument z is infinite!
+    //BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::infinity()), +std::numeric_limits<RealType>::infinity()); // If infinity allowed.
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::infinity()), std::domain_error); // Infinity NOT allowed at all (not an edge case).
+  }
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  { // Argument Z == NaN is always an throwable error for both branches.
+    // BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::quiet_NaN()), +std::numeric_limits<RealType>::infinity()); // message is:
+    // Error in function boost::math::lambert_w0<RealType>(<RealType>): Argument z is NaN!
+    BOOST_CHECK_THROW(lambert_w0(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+
+  // denorm - but might be == min or zero?
+  if (std::numeric_limits<RealType>::has_denorm == true)
+  { // Might also return infinity like z == 0?
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::denorm_min()), std::overflow_error);
+  }
+
+    // Tests of Lambert W-1 branch.
+    BOOST_CHECK_CLOSE_FRACTION(  // Check -exp(-1) ~= -0.367879450 == -1 at the singularity branch point.
+    lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144232159552377016146086744581113103176783450783680169746149574489980335714727434591964374662732527)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.),
+    tolerance);
+
+    // Near singularity and using series approximation.
+    // N[productlog(-1, -0.36), 50] = -1.2227701339785059531429380734238623131735264411311
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.36)),
+      BOOST_MATH_TEST_VALUE(RealType, -1.2227701339785059531429380734238623131735264411311),
+    10 *   tolerance); // tolerance OK for quad
+    // -1.2227701339785059531429380734238623131735264411311
+    // -1.222770133978505953142938073423862313173526441131033
+
+    // Just using series approximation (switch at -0.35).
+    // N[productlog(-0.351), 50] = -0.72398644140937651483634596143951001600417138085814
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.351)),
+      BOOST_MATH_TEST_VALUE(RealType, -0.72398644140937651483634596143951001600417138085814),
+      // 2 * tolerance); // Note 2 * tolerance for PB fukushima
+    // got -0.723986441409376931150560229265736446 without Halley
+    // exp -0.72398644140937651483634596143951001
+    // got -0.72398644140937651483634596143951029 with Halley
+     10 * tolerance); // expect -0.72398644140937651 float -0.723987103 needs 10 * tolerance
+     // 2 * tolerance is fine for double and up.
+    // Float is OK
+
+    // Same for W-1 branch
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.351)),
+      BOOST_MATH_TEST_VALUE(RealType, -1.3385736984773431852492145715526995809854973408320),
+      10 * tolerance); // 2 tolerance OK for quad
+
+    // Near singularity and NOT using series approximation (switch at -0.35)
+    // N[productlog(-1, -0.34), 50]
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.34)),
+      BOOST_MATH_TEST_VALUE(RealType, -1.4512014851325470735077533710339268100722032730024),
+     10 * tolerance); // tolerance OK for quad
+    //
+
+    // Decreasing z until near zero (small z) .
+    //N[productlog(-1, -0.3), 50] = -1.7813370234216276119741702815127452608215583564545
+    BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.3)),
+     BOOST_MATH_TEST_VALUE(RealType, -1.7813370234216276119741702815127452608215583564545),
+    2 * tolerance);
+    //                               -1.78133702342162761197417028151274526082155835645446
+
+    //N[productlog(-1, -0.2), 50] = -2.5426413577735264242938061566618482901614749075294
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+    BOOST_MATH_TEST_VALUE(RealType, -2.5426413577735264242938061566618482901614749075294),
+   2 * tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, -3.577152063957297218409391963511994880401796257793),
+    tolerance);
+
+     //N[productlog(-1, -0.01), 50] = -6.4727751243940046947410578927244880371043455902257
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, -6.4727751243940046947410578927244880371043455902257),
+    tolerance);
+
+  //  N[productlog(-1, -0.001), 50] = -9.1180064704027401212583371820468142742704349737639
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.001)),
+    BOOST_MATH_TEST_VALUE(RealType, -9.1180064704027401212583371820468142742704349737639),
+    tolerance);
+
+  //  N[productlog(-1, -0.000001), 50] = -16.626508901372473387706432163984684996461726803805
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.000001)),
+    BOOST_MATH_TEST_VALUE(RealType, -16.626508901372473387706432163984684996461726803805),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-12)),
+    BOOST_MATH_TEST_VALUE(RealType, -31.067172842017230842039496250208586707880448763222),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-25)),
+    BOOST_MATH_TEST_VALUE(RealType, -61.686695602074505366866968627049381352503620377944),
+    tolerance);
+
+  // z nearly too small.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -2e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -63.322302839923597803393585145387854867226970485197),
+    tolerance* 2);
+
+  // z very nearly too small.  G(k=64) g[63] = -1.0264389699511303e-26 to using 1.027e-26
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.027e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -63.999444896732265186957073549916026532499356695343),
+    tolerance);
+  // So -64 is the most negative value that can be determined using lookup.
+  // N[productlog(-1, -1.0264389699511303 * 10^-26 ), 50] -63.999999999999997947255011093606206983577811736472 == -64
+  // G[k=64] = g[63] = -1.0264389699511303e-26
+
+  // z too small for G(k=64) g[63] = -1.0264389699511303e-26 to using 1.027e-26
+  //  N[productlog(-1, -10 ^ -26), 50]    = -31.067172842017230842039496250208586707880448763222
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -64.026509628385889681156090340691637712441162092868),
+    tolerance); //                  -64.0265121
+
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_EQUAL(lambert_wm1(0), -std::numeric_limits<RealType>::infinity());
+  }
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // BOOST_CHECK_EQUAL(lambert_w0(std::numeric_limits<RealType>::quiet_NaN()), +std::numeric_limits<RealType>::infinity()); // message is:
+    // Error in function boost::math::lambert_w0<RealType>(<RealType>): Argument z is NaN!
+    BOOST_CHECK_THROW(lambert_wm1(std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+
+   // W0 Tests for too big and too small to use lookup table.
+   // Exactly W = 64, not enough to be OK for lookup.
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.9904954117194348050619127737142206366920907815909119e+29)),
+    BOOST_MATH_TEST_VALUE(RealType, 64.0),
+    tolerance);
+
+    // Just below z for F[64]
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.99045411719434e+29)),
+     BOOST_MATH_TEST_VALUE(RealType, 63.999989810930513468726486827408823607175844852495), tolerance);
+    // Fails for quad_float -1.22277013397850595265
+    //                      -1.22277013397850595319
+
+  // Just too big, so using log approx and Halley refinement.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 4e+29)),
+    BOOST_MATH_TEST_VALUE(RealType, 64.002342375637950350970694519073803643686041499677),
+    tolerance);
+
+  // Check at reduced precision.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 4e+29), policy<digits2<11> >()),
+    BOOST_MATH_TEST_VALUE(RealType, 64.002342375637950350970694519073803643686041499677),
+    0.00002);  // 0.00001 fails.
+
+  // Tests to ensure that all JM rational polynomials are being checked.
+
+  // 1st polynomial if (z < 0.5)   // 0.05 < z < 0.5
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.49)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.3465058086974944293540338951489158955895910665452626949),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.051)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.04858156174600359264950777241723801201748517590507517888),
+    tolerance);
+
+  // 2st polynomial if 0.5 < z < 2
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.51)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.3569144916935871518694242462560450385494399307379277704),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.9)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.8291763302658400337004358009672187071638421282477162293),
+    tolerance);
+
+  // 3rd polynomials 2 < z < 6
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 2.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.8752187586805470099843211502166029752154384079916131962),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 5.9)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.422521411785098213935338853943459424120416844150520831),
+    tolerance);
+
+  // 4th polynomials 6 < z < 18
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 6.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.442152194116056579987235881273412088690824214100254315),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 17.9)),
+    BOOST_MATH_TEST_VALUE(RealType, 2.129100923757568114366514708174691237123820852409339147),
+    tolerance);
+
+  // 5th polynomials if (z < 9897.12905874)  // 2.8 < log(z) < 9.2
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 18.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 2.136665501382339778305178680563584563343639180897328666),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 9897.)),
+    BOOST_MATH_TEST_VALUE(RealType, 7.222751047988674263127929506116648714752441161828893633),
+    tolerance);
+
+  // 6th polynomials if (z < 7.896296e+13)  // 9.2 < log(z) <= 32
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 9999.)),
+    BOOST_MATH_TEST_VALUE(RealType, 7.231758181708737258902175236106030961433080976032516996),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 7.7e+13)),
+    BOOST_MATH_TEST_VALUE(RealType, 28.62069643025822480911439831021393125282095606713326376),
+    tolerance);
+
+  // 7th polynomial // 32 < log(z) < 100
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 8.0e+18)),
+    BOOST_MATH_TEST_VALUE(RealType, 39.84107480517853176296156400093560722439428484537515586),
+    tolerance);
+
+  // Largest 32-bit float. (Larger values for other types tested using max())
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.e38)),
+    BOOST_MATH_TEST_VALUE(RealType, 83.07844821316409592720410446942538465411465113447713574),
+    tolerance);
+
+  // Using z small series function if z < 0.05  if (z < -0.051)  -0.27 < z < -0.051
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.28)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.4307588745271127579165306568413721388196459822705155385),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.25)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.3574029561813889030688111040559047533165905550760120436),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, +0.25)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.2038883547022401644431818313271398701493524772101596350),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.051)), // just above 0.05 cutoff.
+    BOOST_MATH_TEST_VALUE(RealType, -0.05382002772543396036830469500362485089791914689728115249),
+    tolerance * 4);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.05)), // at cutoff.
+    BOOST_MATH_TEST_VALUE(RealType, -0.05270598355154634795995650617915721289427674396592395160),
+    tolerance * 8);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.049)), // Just below cutoff.
+    BOOST_MATH_TEST_VALUE(RealType, 0.04676143671340832342497289393737051868103596756298863555),
+    tolerance * 4);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.009901473843595011885336326816570107953627746494917415483),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.01010152719853875327292018767138623973670903993475235877),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.049)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.05159448479219405354564920228913331280713177046648170658),
+    tolerance * 8);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1e-6)),
+    BOOST_MATH_TEST_VALUE(RealType, 9.999990000014999973333385416558666900096702096424344715e-7),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -1e-6)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.000001000001500002666671875010800023343107568372593753e-6),
+    tolerance);
+
+  // Near Smallest float.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1e-38)),
+    BOOST_MATH_TEST_VALUE(RealType, 9.99999999999999999999999999999999999990000000000000000e-39),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -1e-38)),
+    BOOST_MATH_TEST_VALUE(RealType, -1.000000000000000000000000000000000000010000000000000000e-38),
+    tolerance);
+
+  // Similar 'too near zero' tests for W-1 branch.
+  // lambert_wm1(-1.0264389699511283e-26) = -64.000000000000000
+  // Exactly z for W=-64
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.026438969951128225904695701851094643838952857740385870e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -64.000000000000000000000000000000000000),
+   2 * tolerance);
+
+  // Just more negative than G[64 max] = wm1zs[63] so can't use lookup table.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.5e-27)),
+    BOOST_MATH_TEST_VALUE(RealType, -65.953279000145077719128800110134854577850889171784),
+    tolerance); //                  -65.9532776
+
+  // Just less negative than G[64 max] = wm1zs[63] so can use lookup table.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.1e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -63.929686062157630858625440758283127600360210072859),
+    tolerance);
+
+   // N[productlog(-1, -10 ^ -26), 50]    = -31.067172842017230842039496250208586707880448763222
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-26)),
+    BOOST_MATH_TEST_VALUE(RealType, -64.026509628385889681156090340691637712441162092868),
+    tolerance);
+
+  // 1e-28 is too small
+  //  N[productlog(-1, -10 ^ -28), 50]    = -31.067172842017230842039496250208586707880448763222
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-28)),
+    BOOST_MATH_TEST_VALUE(RealType, -68.702163291525429160769761667024460023336801014578),
+    tolerance);
+
+  // Check for overflow when using a double (including when using for approximate value for refinement for higher precision).
+
+  // N[productlog(-1, -10 ^ -30), 50]    = -73.373110313822976797067478758120874529181611813766
+  //BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e30)),
+  //  BOOST_MATH_TEST_VALUE(RealType, -73.373110313822976797067478758120874529181611813766),
+  //  tolerance);
+  //unknown location : fatal error : in "test_types" :
+  //class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >
+  //  : Error in function boost::math::lambert_wm1<RealType>(<RealType>) :
+  //  Argument z = -1.00000002e+30 out of range(z < -exp(-1) = -3.6787944) for Lambert W - 1 branch!
+
+  BOOST_CHECK_THROW(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e30)), std::domain_error);
+
+  // Too negative
+  BOOST_CHECK_THROW(lambert_wm1(RealType(-0.5)), std::domain_error);
+
+  // This fails for fixed_point type used for other tests because out of range?
+    //BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.0e6)),
+    //BOOST_MATH_TEST_VALUE(RealType, 11.383358086140052622000156781585004289033774706019),
+    //// Output from https://www.wolframalpha.com/input/?i=lambert_w0(1e6)
+    //// tolerance * 1000); // fails for fixed_point type exceeds 0.00015258789063
+    //  // 15.258789063
+    //  // 11.383346558
+    // tolerance * 100000);
+  // So need to use some spot tests for specific types, or use a bigger fixed_point type.
+
+  // Check zero.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.0)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.0),
+    tolerance);
+  // these fail for cpp_dec_float_50
+  // 'boost::multiprecision::detail::expression<boost::multiprecision::detail::negate,boost::multiprecision::number<boost::multiprecision::backends::cpp_dec_float<50,int32_t,void>,boost::multiprecision::et_on>,void,void,void>'
+  // : no appropriate default constructor available
+  // TODO ???????????
+
+ } // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_types )
+{
+  BOOST_MATH_CONTROL_FP;
+  // BOOST_TEST_MESSAGE output only appears if command line has --log_level="message"
+  // or call set_threshold_level function:
+  // boost::unit_test::unit_test_log.set_threshold_level(boost::unit_test_framework::log_messages);
+
+  BOOST_TEST_MESSAGE("\nTest Lambert W function for several types.\n");
+  BOOST_TEST_MESSAGE(show_versions());  // Full version of Boost, STL and compiler info.
+#ifndef BOOST_MATH_TEST_MULTIPRECISION
+  // Fundamental built-in types:
+  test_spots(0.0F); // float
+  test_spots(0.0); // double
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  if (sizeof(long double) > sizeof(double))
+  { // Avoid pointless re-testing if double and long double are identical (for example, MSVC).
+    test_spots(0.0L); // long double
+  }
+  test_spots(boost::math::concepts::real_concept(0));
+#endif
+
+  #else // BOOST_MATH_TEST_MULTIPRECISION
+  // Multiprecision types:
+#if BOOST_MATH_TEST_MULTIPRECISION == 1
+  test_spots(static_cast<boost::multiprecision::cpp_bin_float_double_extended>(0));
+#endif
+#if BOOST_MATH_TEST_MULTIPRECISION == 2
+  test_spots(static_cast<boost::multiprecision::cpp_bin_float_quad>(0));
+#endif
+#if BOOST_MATH_TEST_MULTIPRECISION == 3
+  test_spots(static_cast<boost::multiprecision::cpp_bin_float_50>(0));
+#endif
+#endif // ifdef BOOST_MATH_TEST_MULTIPRECISION
+
+  #ifdef BOOST_MATH_TEST_FLOAT128
+   std::cout << "\nBOOST_MATH_TEST_FLOAT128 defined for float128 tests." << std::endl;
+
+#ifdef BOOST_HAS_FLOAT128
+  //  GCC and Intel only.
+  // Requires link to libquadmath library, see
+  // http://www.boost.org/doc/libs/release/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/float128.html
+  // for example:
+  // C:\Program Files\mingw-w64\x86_64-7.2.0-win32-seh-rt_v5-rev1\mingw64\lib\gcc\x86_64-w64-mingw32\7.2.0\libquadmath.a
+
+  using boost::multiprecision::float128;
+  std::cout << "BOOST_HAS_FLOAT128" << std::endl;
+
+  std::cout.precision(std::numeric_limits<float128>::max_digits10);
+
+  test_spots(static_cast<float128>(0));
+#endif // BOOST_HAS_FLOAT128
+#else
+  std::cout << "\nBOOST_MATH_TEST_FLOAT128 NOT defined so NO float128 tests." << std::endl;
+#endif // #ifdef BOOST_MATH_TEST_FLOAT128
+
+} // BOOST_AUTO_TEST_CASE( test_types )
+
+
+BOOST_AUTO_TEST_CASE( test_range_of_double_values )
+{
+  using boost::math::constants::exp_minus_one;
+  using boost::math::lambert_w0;
+
+  BOOST_TEST_MESSAGE("\nTest Lambert W function type double for range of values.");
+
+  // Want to test almost largest value.
+  // test_value = (std::numeric_limits<RealType>::max)() / 4;
+  // std::cout << std::setprecision(std::numeric_limits<RealType>::max_digits10) << "Max value = " << test_value << std::endl;
+  // Can't use a test like this for all types because max_value depends on RealType
+  // and thus the expected result of lambert_w0 does too.
+  //BOOST_CHECK_CLOSE_FRACTION(lambert_w0<RealType>(test_value),
+  //  BOOST_MATH_TEST_VALUE(RealType, ???),
+  //  tolerance);
+  // So this section just tests a single type, say IEEE 64-bit double, for a range of spot values.
+
+  typedef double RealType; // Some tests assume type is double.
+
+  int epsilons = 1;
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * epsilons; // 2 eps as a fraction.
+  std::cout << "Tolerance " << epsilons << " * epsilon == " << tolerance << std::endl;
+
+#ifndef BOOST_MATH_TEST_MULTIPRECISION
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.0e-6)),
+    BOOST_MATH_TEST_VALUE(RealType, 9.9999900000149999733333854165586669000967020964243e-7),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[1e-6],50])
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.0001)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.000099990001499733385405869000452213835767629477903460),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.001],50])
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.001)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.00099900149733853088995782787410778559957065467928884),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.001],50])
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.01)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.0099014738435950118853363268165701079536277464949174),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.01],50])
+    tolerance * 25);  // <<< Needs a much bigger tolerance???
+  // 0.0099014738435951096 this test max_digits10
+  // 0.00990147384359511  digits10
+  // 0.0099014738435950118  wolfram
+  // 0.00990147384359501  wolfram  digits10
+  // 0.0099014738435950119 N[lambert_w[0.01],17]
+  // 0.00990147384359501   N[lambert_w[0.01],15] which really is more different than expected.
+  // 0.00990728209160670  approx
+  // 0.00990147384359511  previous
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.05)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.047672308600129374726388900514160870747062965933891),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[0.01],50])
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.091276527160862264299895721423179568653119224051472),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[1],50])
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.56714329040978387299996866221035554975381578718651),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[1],50])
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 2.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.852605502013725491346472414695317466898453300151403508772),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(2.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 3.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.049908894964039959988697070552897904589466943706341452932),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(3.)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 5.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.326724665242200223635099297758079660128793554638047479789),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(0.5)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 6.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.432404775898300311234078007212058694786434608804302025655),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(6)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 10.)),
+    BOOST_MATH_TEST_VALUE(RealType, 1.7455280027406993830743012648753899115352881290809),
+    // Output from https://www.wolframalpha.com/input/ N[lambert_w[10],50])
+    tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 100.)),
+    BOOST_MATH_TEST_VALUE(RealType, 3.3856301402900501848882443645297268674916941701578),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(100)
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1000.)),
+    BOOST_MATH_TEST_VALUE(RealType, 5.2496028524015962271260563196973062825214723860596),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(1000)
+    tolerance);
+
+  // This fails for fixed_point type used for other tests because out of range of the type?
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, 1.0e6)),
+    BOOST_MATH_TEST_VALUE(RealType, 11.383358086140052622000156781585004289033774706019),
+    // Output from https://www.wolframalpha.com/input/?i=lambert_w0(1e6)
+    tolerance); //
+
+  // Tests for double only near the max and the singularity where Lambert_w estimates are less precise.
+  if (std::numeric_limits<RealType>::is_specialized)
+  { // is_specialized means that can use numeric_limits for tests.
+    // Check near std::numeric_limits<>::max() for type.
+    //std::cout << std::setprecision(std::numeric_limits<RealType>::max_digits10)
+    //  << (std::numeric_limits<double>::max)()          // == 1.7976931348623157e+308
+    //  << " " << (std::numeric_limits<double>::max)()/4 // == 4.4942328371557893e+307
+    //  << std::endl;
+
+    // All these result in faulty error message
+    // unknown location : fatal error : in "test_range_of_values": class boost::exception_detail::clone_impl<struct boost::exception_detail::error_info_injector<class std::domain_error> >: Error in function boost::math::lambert_w0<RealType>(<RealType>): Argument z = %1 too large.
+    // I:\modular - boost\libs\math\test\test_lambert_w.cpp(456) : last checkpoint
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(1.7976931348623157e+308 ), // max_value for IEEE 64-bit double.
+      static_cast<double>(703.2270331047701868711791887193075929608934699575820028L),
+      // N[productlog[0, 1.7976931348623157*10^308 /2],50] == 702.53487067487671916110655783739076368512998658347
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(1.7976931348623157e+308 / 2), // max_value/2 for IEEE 64-bit double.
+      static_cast<double>(702.53487067487671916110655783739076368512998658347L),
+      // N[productlog[0, 1.7976931348623157*10^308 /2],50] == 702.53487067487671916110655783739076368512998658347
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(1.7976931348623157e+308 /4), // near max_value/4 for IEEE 64-bit double.
+      static_cast<double>(701.8427092142920014223182853764045476L),
+      // N[productlog(0, 1.7976931348623157* 10^308 /4 ), 37] =701.8427092142920014223182853764045476
+      // N[productlog(0, 0.25 * 1.7976931348623157*10^307), 37]
+      tolerance);
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(4.4942328371557893e+307), // max_value/4 for IEEE 64-bit double.
+      static_cast<double>(701.84270921429200143342782556643059L),
+      // N[lambert_w[4.4942328371557893e+307], 35]  == 701.8427092142920014334278255664305887
+      // as a double == 701.83341468208209
+      // Lambert computed 702.02379914670587
+      0.000003); // OK Much less precise at the max edge???
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0((std::numeric_limits<double>::max)()), // max_value for IEEE 64-bit double.
+      static_cast<double>(703.2270331047701868711791887193075930),
+      // N[productlog(0, 1.7976931348623157* 10^308), 37] = 703.2270331047701868711791887193075930
+      //                                                    703.22700325995515 lambert W
+      //                                                    703.22703310477016  Wolfram
+      tolerance * 2e8); // OK but much less accurate near max.
+
+  // Compare precisions very close to the singularity.
+    // This test value is one epsilon close to the singularity at -exp(-1) * z
+    // (below which the result has a non-zero imaginary part).
+    RealType test_value = -exp_minus_one<RealType>();
+    test_value += (std::numeric_limits<RealType>::epsilon() * 1);
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0(test_value),
+      BOOST_MATH_TEST_VALUE(RealType, -0.99999996349975895),
+      tolerance * 1000000000);
+    // -0.99999996788201051
+    // -0.99999996349975895
+    // Would not expect to get a result closer than sqrt(epsilon)?
+  } //  if (std::numeric_limits<RealType>::is_specialized)
+
+  // Can only compare float_next for specific type T = double.
+  // Comparison with Wolfram N[productlog(0,-0.36787944117144228 ), 17]
+  // Note big loss of precision and big tolerance needed to pass.
+  BOOST_CHECK_CLOSE_FRACTION(  // Check float_next(-exp(-1) )
+    lambert_w0(BOOST_MATH_TEST_VALUE(double, -0.36787944117144228)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.99999998496215738),
+    1e8 * tolerance); // diff 6.03558e-09 v 2.2204460492503131e-16
+
+   BOOST_CHECK_CLOSE_FRACTION(  // Check  float_next(float_next(-exp(-1) ))
+    lambert_w0(BOOST_MATH_TEST_VALUE(double, -0.36787944117144222)),
+    BOOST_MATH_TEST_VALUE(RealType, -0.99999997649828679),
+    5e7 * tolerance);// diff 2.30785e-09 v 2.2204460492503131e-16
+
+   // Compare with previous PB/FK computations at double precision.
+   using std::abs;
+   RealType x = BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144228);
+   RealType w0 = lambert_w0(x);
+   RealType w0_prime = boost::math::lambert_w0_prime(x);
+   RealType mu = std::numeric_limits<RealType>::epsilon()/2;
+   BOOST_CHECK_CLOSE_FRACTION(  // Check float_next(-exp(-1) )
+    w0,
+    BOOST_MATH_TEST_VALUE(RealType, -0.9999999849621573837115797120602890516186071783122773515945338502828025975466699519609633476854139977),
+    2*mu*abs(x*w0_prime/w0)); // diff 6.03558e-09 v 2.2204460492503131e-16
+
+   x = BOOST_MATH_TEST_VALUE(RealType, -0.36787944117144222);
+   w0 = lambert_w0(x);
+   w0_prime = boost::math::lambert_w0_prime(x);
+   BOOST_CHECK_CLOSE_FRACTION(  // Check  float_next(float_next(-exp(-1) ))
+    w0,
+    BOOST_MATH_TEST_VALUE(RealType, -0.99999997419043196),
+    2*mu*abs(x*w0_prime/w0));// diff 2.30785e-09 v 2.2204460492503131e-16
+
+               // z increasingly close to singularity.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.36)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.8060843159708177782855213616209920019974599683466713016),
+     2 * tolerance); // -0.806084335
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.365)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.8798200914159538111724840007674053239388642469453350954),
+     5 * tolerance); // Note 5 * tolerance
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.3678)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.9793607149578284774761844434886481686055949229547379368),
+     15 * tolerance); // Note 15 * tolerance when this close to singularity.
+
+                      // Just using series approximation (Fukushima switch at -0.35, but JM at 0.01 of singularity < -0.3679).
+                      // N[productlog(-0.351), 50] = -0.72398644140937651483634596143951001600417138085814
+                      // N[productlog(-0.351), 55] = -0.7239864414093765148363459614395100160041713808581379727
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0(BOOST_MATH_TEST_VALUE(RealType, -0.351)),
+     BOOST_MATH_TEST_VALUE(RealType, -0.72398644140937651483634596143951001600417138085814),
+     10 * tolerance); // Note was 2 * tolerance
+
+                      // Check value just not using near_singularity series approximation (and using rational polynomial instead).
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.3)),
+     BOOST_MATH_TEST_VALUE(RealType, -1.7813370234216276119741702815127452608215583564545),
+     // Output from https://www.wolframalpha.com/input/
+     //N[productlog(-1, -0.3), 50] = -1.7813370234216276119741702815127452608215583564545
+     tolerance);
+
+  // Using table lookup and schroeder with decreasing z to zero.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+     BOOST_MATH_TEST_VALUE(RealType, -2.5426413577735264242938061566618482901614749075294),
+     // N[productlog[-1, -0.2],50] -2.5426413577735264242938061566618482901614749075294
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.1)),
+     BOOST_MATH_TEST_VALUE(RealType, -3.5771520639572972184093919635119948804017962577931),
+     //N[productlog(-1, -0.1), 50] = -3.5771520639572972184093919635119948804017962577931
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.001)),
+     BOOST_MATH_TEST_VALUE(RealType, -9.1180064704027401212583371820468142742704349737639),
+     //  N[productlog(-1, -0.001), 50] = -9.1180064704027401212583371820468142742704349737639
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -0.000001)),
+     BOOST_MATH_TEST_VALUE(RealType, -16.626508901372473387706432163984684996461726803805),
+     //  N[productlog(-1, -0.000001), 50] = -16.626508901372473387706432163984684996461726803805
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-6)),
+     BOOST_MATH_TEST_VALUE(RealType, -16.626508901372473387706432163984684996461726803805),
+     //  N[productlog(-1, -10 ^ -6), 50] = -16.626508901372473387706432163984684996461726803805
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1.0e-26)),
+     BOOST_MATH_TEST_VALUE(RealType, -64.026509628385889681156090340691637712441162092868),
+     // Output from https://www.wolframalpha.com/input/
+     // N[productlog(-1, -1 * 10^-26 ), 50] = -64.026509628385889681156090340691637712441162092868
+     tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -2e-26)),
+     BOOST_MATH_TEST_VALUE(RealType, -63.322302839923597803393585145387854867226970485197),
+     // N[productlog[-1, -2*10^-26],50] = -63.322302839923597803393585145387854867226970485197
+     tolerance * 2);
+
+  // Smaller than lookup table, so must use approx and Halley refinements.
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -1e-30)),
+     BOOST_MATH_TEST_VALUE(RealType, -73.373110313822976797067478758120874529181611813766),
+     //  N[productlog(-1, -10 ^ -30), 50]    = -73.373110313822976797067478758120874529181611813766
+     tolerance);
+
+  // std::numeric_limits<RealType>::min
+#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
+  std::cout.precision(std::numeric_limits<RealType>::max_digits10);
+#endif
+  std::cout << "(std::numeric_limits<RealType>::min)() " << (std::numeric_limits<RealType>::min)() << std::endl;
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, -2.2250738585072014e-308)),
+     BOOST_MATH_TEST_VALUE(RealType, -714.96865723796647086868547560654825435542227693935),
+     // N[productlog[-1, -2.2250738585072014e-308],50] =  -714.96865723796647086868547560654825435542227693935
+     tolerance);
+
+  // For z = 0, W = -infinity
+  if (std::numeric_limits<RealType>::has_infinity)
+  {
+     BOOST_CHECK_EQUAL(lambert_wm1(BOOST_MATH_TEST_VALUE(RealType, 0.)),
+        -std::numeric_limits<RealType>::infinity());
+  }
+
+#elif BOOST_MATH_TEST_MULTIPRECISION == 2
+  
+  // Comparison with Wolfram N[productlog(0,-0.36787944117144228 ), 17]
+  // Using conversion from double to higher precision cpp_bin_float_quad
+  using boost::multiprecision::cpp_bin_float_quad;
+  BOOST_CHECK_CLOSE_FRACTION(  // Check float_next(-exp(-1) )
+    lambert_w0(BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.36787944117144228)),
+    BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.99999998496215738),
+    tolerance); // OK
+
+  BOOST_CHECK_CLOSE_FRACTION(  // Check  float_next(float_next(-exp(-1) ))
+    lambert_w0(BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.36787944117144222)),
+    BOOST_MATH_TEST_VALUE(cpp_bin_float_quad, -0.99999997649828679),
+    tolerance);// OK
+#endif
+} // BOOST_AUTO_TEST_CASE(test_range_of_double_values)
+
diff --git a/src/boost/libs/math/test/test_lambert_w_derivative.cpp b/src/boost/libs/math/test/test_lambert_w_derivative.cpp
new file mode 100644
index 000000000..c5cd28a21
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_derivative.cpp
@@ -0,0 +1,124 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w.cpp
+//! \brief Basic sanity tests for Lambert W derivative.
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+// Needs gnu++17 for BOOST_HAS_FLOAT128
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+
+#ifdef BOOST_MATH_TEST_MULTIPRECISION
+#include <boost/multiprecision/cpp_dec_float.hpp> // boost::multiprecision::cpp_dec_float_50
+using boost::multiprecision::cpp_dec_float_50;
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_quad;
+
+#ifdef BOOST_MATH_TEST_FLOAT128
+
+#ifdef BOOST_HAS_FLOAT128
+// Including this header below without float128 triggers:
+// fatal error C1189: #error:  "Sorry compiler is neither GCC, not Intel, don't know how to configure this header."
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif // ifdef BOOST_HAS_FLOAT128
+#endif // #ifdef #ifdef BOOST_MATH_TEST_FLOAT128
+
+#endif //   #ifdef BOOST_MATH_TEST_MULTIPRECISION
+
+//#include <boost/fixed_point/fixed_point.hpp> // If available.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept tests.
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, isfinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <exception>
+
+std::string show_versions(void);
+
+BOOST_AUTO_TEST_CASE( Derivatives_of_lambert_w )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W_DERIVATIVES to test 1st derivatives is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W function 1st differentials.");
+
+  using boost::math::constants::exp_minus_one;
+  using boost::math::lambert_w0_prime;
+  using boost::math::lambert_wm1_prime;
+
+  // Derivatives
+  // https://www.wolframalpha.com/input/?i=derivative+of+productlog(0,+x)
+  //  d/dx(W_0(x)) = W(x)/(x W(x) + x)
+  // https://www.wolframalpha.com/input/?i=derivative+of+productlog(-1,+x)
+  // d/dx(W_(-1)(x)) = (W_(-1)(x))/(x W_(-1)(x) + x)
+
+  // 55 decimal digit values added to allow future testing using multiprecision.
+
+  typedef double RealType;
+
+  int epsilons = 1;
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * epsilons; // 2 eps as a fraction.
+
+  // derivative of productlog(-1, x)   at x = -0.1 == -13.8803
+  // (derivative of productlog(-1, x) ) at x = N[-0.1, 55] - but the result disappears!
+  // (derivative of N[productlog(-1, x), 55] ) at x = N[-0.1, 55]
+
+  // W0 branch
+  BOOST_CHECK_CLOSE_FRACTION(lambert_w0_prime(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+   // BOOST_MATH_TEST_VALUE(RealType, 1.7491967609218355),
+    BOOST_MATH_TEST_VALUE(RealType, 1.7491967609218358355273514903396335693828167746571404),
+    tolerance); //                  1.7491967609218358355273514903396335693828167746571404
+
+    BOOST_CHECK_CLOSE_FRACTION(lambert_w0_prime(BOOST_MATH_TEST_VALUE(RealType, 10.)),
+    BOOST_MATH_TEST_VALUE(RealType, 0.063577133469345105142021311010780887641928338458371618),
+    tolerance);
+
+// W-1 branch
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1_prime(BOOST_MATH_TEST_VALUE(RealType, -0.1)),
+    BOOST_MATH_TEST_VALUE(RealType, -13.880252213229780748699361486619519025203815492277715),
+    tolerance);
+  // Lambert W_prime -13.880252213229780748699361486619519025203815492277715, double -13.880252213229781
+
+  BOOST_CHECK_CLOSE_FRACTION(lambert_wm1_prime(BOOST_MATH_TEST_VALUE(RealType, -0.2)),
+    BOOST_MATH_TEST_VALUE(RealType, -8.2411940564179044961885598641955579728547896392013239),
+    tolerance);
+  // Lambert W_prime -8.2411940564179044961885598641955579728547896392013239, double -8.2411940564179051
+
+  // Lambert W_prime 0.063577133469345105142021311010780887641928338458371618, double 0.063577133469345098
+}; // BOOST_AUTO_TEST_CASE("Derivatives of lambert_w")
+
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_double.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_double.cpp
new file mode 100644
index 000000000..dc1c23e16
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_double.cpp
@@ -0,0 +1,266 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, isfinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<double>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_float.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_float.cpp
new file mode 100644
index 000000000..126a339be
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_float.cpp
@@ -0,0 +1,267 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, isfinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<float>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_float128.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_float128.cpp
new file mode 100644
index 000000000..e83a57ddc
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_float128.cpp
@@ -0,0 +1,276 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+#ifdef BOOST_HAS_FLOAT128
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+
+#include <boost/multiprecision/float128.hpp>
+
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, isfinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<boost::multiprecision::float128>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_long_double.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_long_double.cpp
new file mode 100644
index 000000000..ab7b3df4c
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_long_double.cpp
@@ -0,0 +1,266 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, isfinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<long double>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_lambert_w_integrals_quad.cpp b/src/boost/libs/math/test/test_lambert_w_integrals_quad.cpp
new file mode 100644
index 000000000..9b01937df
--- /dev/null
+++ b/src/boost/libs/math/test/test_lambert_w_integrals_quad.cpp
@@ -0,0 +1,269 @@
+// Copyright Paul A. Bristow 2016, 2017, 2018.
+// Copyright John Maddock 2016.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lambert_w_integrals.cpp
+//! \brief quadrature tests that cover the whole range of the Lambert W0 function.
+
+#include <boost/config.hpp>   // for BOOST_MSVC definition etc.
+#include <boost/version.hpp>   // for BOOST_MSVC versions.
+
+// Boost macros
+#define BOOST_TEST_MAIN
+#define BOOST_LIB_DIAGNOSTIC "on" // Report library file details.
+#include <boost/test/included/unit_test.hpp> // Boost.Test
+// #include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/array.hpp>
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+using boost::multiprecision::cpp_bin_float_quad;
+
+#include <boost/math/special_functions/fpclassify.hpp> // isnan, isfinite.
+#include <boost/math/special_functions/next.hpp> // float_next, float_prior
+using boost::math::float_next;
+using boost::math::float_prior;
+#include <boost/math/special_functions/ulp.hpp>  // ulp
+
+#include <boost/math/tools/test_value.hpp>  // for create_test_value and macro BOOST_MATH_TEST_VALUE.
+#include <boost/math/policies/policy.hpp>
+using boost::math::policies::digits2;
+using boost::math::policies::digits10;
+#include <boost/math/special_functions/lambert_w.hpp> // For Lambert W lambert_w function.
+using boost::math::lambert_wm1;
+using boost::math::lambert_w0;
+
+#include <limits>
+#include <cmath>
+#include <typeinfo>
+#include <iostream>
+#include <type_traits>
+#include <exception>
+
+std::string show_versions(void);
+
+// Added code and test for Integral of the Lambert W function: by Nick Thompson.
+// https://en.wikipedia.org/wiki/Lambert_W_function#Definite_integrals
+
+#include <boost/math/constants/constants.hpp> // for integral tests.
+#include <boost/math/quadrature/tanh_sinh.hpp> // for integral tests.
+#include <boost/math/quadrature/exp_sinh.hpp> // for integral tests.
+
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+
+// using statements needed for changing error handling policy.
+using boost::math::policies::evaluation_error;
+using boost::math::policies::domain_error;
+using boost::math::policies::overflow_error;
+using boost::math::policies::ignore_error;
+using boost::math::policies::throw_on_error;
+
+typedef policy<
+  domain_error<throw_on_error>,
+  overflow_error<ignore_error>
+> no_throw_policy;
+
+// Assumes that function has a throw policy, for example:
+//    NOT lambert_w0<T>(1 / (x * x), no_throw_policy());
+// Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+// The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+// Please ensure your function evaluates to a finite number of its entire domain.
+template <typename T>
+T debug_integration_proc(T x)
+{
+   T result; // warning C4701: potentially uninitialized local variable 'result' used
+  // T result = 0 ; // But result may not be assigned below?
+  try
+  {
+   // Assign function call to result in here...
+    if (x <= sqrt(boost::math::tools::min_value<T>()) )
+    {
+      result = 0;
+    }
+    else
+    {
+      result = lambert_w0<T>(1 / (x * x));
+    }
+   // result = lambert_w0<T>(1 / (x * x), no_throw_policy());  // Bad idea, less helpful diagnostic message is:
+    // Error in function boost::math::quadrature::exp_sinh<double>::integrate:
+    // The exp_sinh quadrature evaluated your function at a singular point and resulted in inf.
+    // Please ensure your function evaluates to a finite number of its entire domain.
+
+  } // try
+  catch (const std::exception& e)
+  {
+    std::cout << "Exception " << e.what() << std::endl;
+    // set breakpoint here:
+    std::cout << "Unexpected exception thrown in integration code at abscissa (x): " << x << "." << std::endl;
+    if (!std::isfinite(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+    if (std::isnan(result))
+    {
+      // set breakpoint here:
+      std::cout << "Unexpected non-finite result in integration code at abscissa (x): " << x << "." << std::endl;
+    }
+  } // catch
+  return result;
+} // T debug_integration_proc(T x)
+
+template<class Real>
+void test_integrals()
+{
+  // Integral of the Lambert W function:
+  // https://en.wikipedia.org/wiki/Lambert_W_function
+  using boost::math::quadrature::tanh_sinh;
+  using boost::math::quadrature::exp_sinh;
+  // file:///I:/modular-boost/libs/math/doc/html/math_toolkit/quadrature/double_exponential/de_tanh_sinh.html
+  using std::sqrt;
+
+  std::cout << "Integration of type " << typeid(Real).name()  << std::endl;
+
+  Real tol = std::numeric_limits<Real>::epsilon();
+  { //  // Integrate for function lambert_W0(z);
+    tanh_sinh<Real> ts;
+    Real a = 0;
+    Real b = boost::math::constants::e<Real>();
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z);
+    };
+    Real z = ts.integrate(f, a, b); // OK without any decltype(f)
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::e<Real>() - 1, tol);
+  }
+  {
+    // Integrate for function lambert_W0(z/(z sqrt(z)).
+    exp_sinh<Real> es;
+    auto f = [](Real z)->Real
+    {
+      return lambert_w0<Real>(z)/(z * sqrt(z));
+    };
+    Real z = es.integrate(f); // OK
+    BOOST_CHECK_CLOSE_FRACTION(z, 2 * boost::math::constants::root_two_pi<Real>(), tol);
+  }
+  {
+    // Integrate for function lambert_W0(1/z^2).
+    exp_sinh<Real> es;
+    //const Real sqrt_min = sqrt(boost::math::tools::min_value<Real>()); // 1.08420217e-19 fo 32-bit float.
+    // error C3493: 'sqrt_min' cannot be implicitly captured because no default capture mode has been specified
+    auto f = [](Real z)->Real
+    {
+      if (z <= sqrt(boost::math::tools::min_value<Real>()) )
+      { // Too small would underflow z * z and divide by zero to overflow 1/z^2 for lambert_w0 z parameter.
+        return static_cast<Real>(0);
+      }
+      else
+      {
+        return lambert_w0<Real>(1 / (z * z)); // warning C4756: overflow in constant arithmetic, even though cannot happen.
+      }
+    };
+    Real z = es.integrate(f);
+    BOOST_CHECK_CLOSE_FRACTION(z, boost::math::constants::root_two_pi<Real>(), tol);
+  }
+} // template<class Real> void test_integrals()
+
+
+BOOST_AUTO_TEST_CASE( integrals )
+{
+  std::cout << "Macro BOOST_MATH_LAMBERT_W0_INTEGRALS is defined." << std::endl;
+  BOOST_TEST_MESSAGE("\nTest Lambert W0 integrals.");
+  try
+  {
+  // using statements needed to change precision policy.
+  using boost::math::policies::policy;
+  using boost::math::policies::make_policy;
+  using boost::math::policies::precision;
+  using boost::math::policies::digits2;
+  using boost::math::policies::digits10;
+
+  // using statements needed for changing error handling policy.
+  using boost::math::policies::evaluation_error;
+  using boost::math::policies::domain_error;
+  using boost::math::policies::overflow_error;
+  using boost::math::policies::ignore_error;
+  using boost::math::policies::throw_on_error;
+
+  /*
+  typedef policy<
+    domain_error<throw_on_error>,
+    overflow_error<ignore_error>
+  > no_throw_policy;
+
+  // Experiment with better diagnostics.
+  typedef float Real;
+
+  Real inf = std::numeric_limits<Real>::infinity();
+  Real max = (std::numeric_limits<Real>::max)();
+  std::cout.precision(std::numeric_limits<Real>::max_digits10);
+  //std::cout << "lambert_w0(inf) = " << lambert_w0(inf) << std::endl; // lambert_w0(inf) = 1.79769e+308
+  std::cout << "lambert_w0(inf, throw_policy()) = " << lambert_w0(inf, no_throw_policy()) << std::endl; // inf
+  std::cout << "lambert_w0(max) = " << lambert_w0(max) << std::endl; // lambert_w0(max) = 703.227
+  //std::cout << lambert_w0(inf) << std::endl; // inf - will throw.
+  std::cout << "lambert_w0(0) = " << lambert_w0(0.) << std::endl; // 0
+  std::cout << "lambert_w0(std::numeric_limits<Real>::denorm_min()) = " << lambert_w0(std::numeric_limits<Real>::denorm_min()) << std::endl; // 4.94066e-324
+  std::cout << "lambert_w0(std::numeric_limits<Real>::min()) = " << lambert_w0((std::numeric_limits<Real>::min)()) << std::endl; // 2.22507e-308
+
+  // Approximate the largest lambert_w you can get for type T?
+  float max_w_f = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<float>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max_f " << max_w_f << std::endl; // 84.2879
+  Real max_w = boost::math::lambert_w_detail::lambert_w0_approx((std::numeric_limits<Real>::max)()); // Corless equation 4.19, page 349, and Chapeau-Blondeau equation 20, page 2162.
+  std::cout << "w max " << max_w << std::endl; // 703.227
+
+  std::cout << "lambert_w0(7.2416706213544837e-163) = " << lambert_w0(7.2416706213544837e-163) << std::endl; //
+  std::cout << "test integral 1/z^2" << std::endl;
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1e-10, policy<digits2<> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "ULP = " << boost::math::ulp(1., policy<digits2<11> >()) << std::endl; // ULP = 2.2204460492503131e-16
+  std::cout << "epsilon =  " << std::numeric_limits<Real>::epsilon() << std::endl; //
+  std::cout << "sqrt(max) =  " << sqrt(boost::math::tools::max_value<float>() ) << std::endl; // sqrt(max) =  1.8446742974197924e+19
+  std::cout << "sqrt(min) =  " << sqrt(boost::math::tools::min_value<float>() ) << std::endl; // sqrt(min) =  1.0842021724855044e-19
+
+
+
+// Demo debug version.
+Real tol = std::numeric_limits<Real>::epsilon();
+Real x;
+{
+  using boost::math::quadrature::exp_sinh;
+  exp_sinh<Real> es;
+  // Function to be integrated, lambert_w0(1/z^2).
+
+    //auto f = [](Real z)->Real
+    //{ // Naive - no protection against underflow and subsequent divide by zero.
+    //  return lambert_w0<Real>(1 / (z * z));
+    //};
+    // Diagnostic is:
+    // Error in function boost::math::lambert_w0<Real>: Expected a finite value but got inf
+
+    auto f = [](Real z)->Real
+    { // Debug with diagnostics for underflow and subsequent divide by zero and other bad things.
+      return debug_integration_proc(z);
+    };
+    // Exception Error in function boost::math::lambert_w0<double>: Expected a finite value but got inf.
+
+    // Unexpected exception thrown in integration code at abscissa: 7.2416706213544837e-163.
+    // Unexpected exception thrown in integration code at abscissa (x): 3.478765835953569e-23.
+    x = es.integrate(f);
+    std::cout << "es.integrate(f) = " << x << std::endl;
+    BOOST_CHECK_CLOSE_FRACTION(x, boost::math::constants::root_two_pi<Real>(), tol);
+    // root_two_pi<double = 2.506628274631000502
+  }
+    */
+
+  test_integrals<cpp_bin_float_quad>();
+  }
+  catch (std::exception& ex)
+  {
+    std::cout << ex.what() << std::endl;
+  }
+}
+
diff --git a/src/boost/libs/math/test/test_laplace.cpp b/src/boost/libs/math/test/test_laplace.cpp
new file mode 100644
index 000000000..9167547f9
--- /dev/null
+++ b/src/boost/libs/math/test/test_laplace.cpp
@@ -0,0 +1,592 @@
+//  Copyright Thijs van den Berg, 2008.
+//  Copyright John Maddock 2008.
+//  Copyright Paul A. Bristow 2008, 2009, 2014.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// add few more tests for farther out than 2??
+// long double test
+// add test for convenience typedef laplace.
+// Permit infinity arguments.
+#ifdef _MSC_VER
+#pragma warning (disable : 4127) // conditional expression is constant.
+#endif
+
+/*
+
+This module tests the Laplace distribution.
+
+Test 1: test_pdf_cdf_ocatave()
+         Compare pdf, cdf against results obtained from GNU Octave.
+
+Test 2: test_cdf_quantile_symmetry()
+         Checks if quantile is the inverse of cdf by testing
+         quantile(cdf(x)) == x
+
+Test 3: test_hazard_pdf_cdf_symmetry()
+         Checks the relation between hazard, pdf and cdf.
+         hazard = pdf/(1-cdf)
+
+
+Test 4: test_location_scale_symmetry()
+         Checks the pdf, cdf invariant for translation and scaling invariant
+                 cdf(x,location,scale) = cdf( (x-location)/scale, 0, 1)
+         scale * pdf(x,location,scale) = pdf( (x-location)/scale, 0, 1)
+
+Test 5: test_mmm_moments()
+         Tests...
+         mean   == location
+         mode   == location
+         median == location
+
+         standard_deviation = sqrt(2)*scale
+         skewness == 0
+         kurtosis == 6
+         excess kurtosis == 3
+
+Test 6: test_complemented()
+         Test the cdf an quantile complemented function.
+         cdf(L,x) + cdf(complement(l,x)) == 1
+         quantile(L,p) == quantile(complement(l,1-p))
+
+Test 7: test_bad_dist_parameters()
+         Test invalid distribution construction.
+
+Test 8: test_extreme_function_arguments()
+         Test x = +/- inf. for cdf(), pdf()
+         Test p ={0,1} for quantile()
+*/
+
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/distributions/laplace.hpp>
+#include "test_out_of_range.hpp"
+using boost::math::laplace_distribution;
+
+/*
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <limits>
+  using std::numeric_limits;
+*/
+   
+/* 
+   This function test various values of the standard Laplace distribution pdf,cdf
+   against values generated by GNU Octave
+   The test code is generated with the following Octave script:
+ 
+f = fopen('octave_boost_laplace.cpp', 'w');
+
+for x = [real(-2.0), real(-1.0), real(-0.5), real(0.0), real(0.5), real(1.0), real(2.0)]
+
+   # pdf tests
+   # -----------------------
+   fdisp(f, "   BOOST_CHECK_CLOSE(" ),;
+   fdisp(f, (sprintf ("      pdf(laplace_distribution<RealType>(), static_cast<RealType>(%16.14fL)),", x)));
+   fdisp(f, (sprintf ("      static_cast<RealType>(%16.14fL),", laplace_pdf(x) )) );
+   fdisp(f, "   tolerance);" );
+   fdisp(f, "" );
+  
+   # cdf tests
+   # -----------------------
+   fdisp(f, "   BOOST_CHECK_CLOSE(" );
+   fdisp(f, (sprintf ("      cdf(laplace_distribution<RealType>(), static_cast<RealType>(%16.14fL)),", x)));
+   fdisp(f, (sprintf ("      static_cast<RealType>(%16.14fL),", laplace_cdf(x) )) );
+   fdisp(f, "   tolerance);" );
+   fdisp(f, "" );
+   
+endfor
+
+fclose(f);
+
+
+Laplace distribution values version 2.0
+
+Using NTL version 5.4 and the formula in Wikipedia Paul A. Bristow
+NTL class RR precision 150 bits.
+NTL class RR output precision 50 decimal digits OK.
+Laplace pdf
+-10  0.22699964881242425767795757780275305118959044437696e-4
+-9.5  0.37425914943850295735594659677277583056493449453316e-4
+-9  0.61704902043339774748818345365016913036076416123496e-4
+-8.5  0.00010173418450532208718446671524353319364865576338509
+-8  0.00016773131395125591941069456289043050965545006686111
+-7.5  0.00027654218507391679155100004426517859890566829114007
+-7  0.00045594098277725810400156804220464131323686226383407
+-6.5  0.00075171959648878622369145166608382691500025647887521
+-6  0.0012393760883331792115225837154083339457532397924584
+-5.5  0.0020433857192320334967323513423603842041953283241185
+-5  0.0033689734995427335483180242115742121244247925136568
+-4.5  0.0055544982691211532480715671434652638857696337503689
+-4  0.0091578194443670901468590106366206211059560337810038
+-3.5  0.015098691711159250369893146181809922535830266119032
+-3  0.024893534183931971489671207825030888315849796096331
+-2.5  0.041042499311949397584764337233579903918902060509316
+-2  0.067667641618306345946999747486242201703815772944649
+-1.5  0.11156508007421491446664023538200626067108581471131
+-1  0.18393972058572116079776188508073043372290556554506
+-0.5  0.30326532985631671180189976749559022672095906778368
+0  0.5
+0.5  0.30326532985631671180189976749559022672095906778368
+1  0.18393972058572116079776188508073043372290556554506
+1.5  0.11156508007421491446664023538200626067108581471131
+2  0.067667641618306345946999747486242201703815772944649
+2.5  0.041042499311949397584764337233579903918902060509316
+3  0.024893534183931971489671207825030888315849796096331
+3.5  0.015098691711159250369893146181809922535830266119032
+4  0.0091578194443670901468590106366206211059560337810038
+4.5  0.0055544982691211532480715671434652638857696337503689
+5  0.0033689734995427335483180242115742121244247925136568
+5.5  0.0020433857192320334967323513423603842041953283241185
+6  0.0012393760883331792115225837154083339457532397924584
+6.5  0.00075171959648878622369145166608382691500025647887521
+7  0.00045594098277725810400156804220464131323686226383407
+7.5  0.00027654218507391679155100004426517859890566829114007
+8  0.00016773131395125591941069456289043050965545006686111
+8.5  0.00010173418450532208718446671524353319364865576338509
+9  0.61704902043339774748818345365016913036076416123496e-4
+9.5  0.37425914943850295735594659677277583056493449453316e-4
+10  0.22699964881242425767795757780275305118959044437696e-4
+
+Laplace cdf
+-10  0.9999773000351187575742322042422197246948810411152
+-9.5  0.99996257408505614970426440534032272241694350636029
+-9  0.99993829509795666022525118165463498308696392404693
+-8.5  0.99989826581549467791281553328475646680635134420916
+-8  0.99983226868604874408058930543710956949034454956485
+-7.5  0.9997234578149260832084489999557348214010943317417
+-7  0.99954405901722274189599843195779535868676313746042
+-6.5  0.99924828040351121377630854833391617308499974328643
+-6  0.99876062391166682078847741628459166605424676032523
+-5.5  0.99795661428076796650326764865763961579580467117776
+-5  0.99663102650045726645168197578842578787557520756024
+-4.5  0.9944455017308788467519284328565347361142303666328
+-4  0.99084218055563290985314098936337937889404396651458
+-3.5  0.98490130828884074963010685381819007746416973359633
+-3  0.9751064658160680285103287921749691116841502037504
+-2.5  0.95895750068805060241523566276642009608109793962206
+-2  0.93233235838169365405300025251375779829618422688019
+-1.5  0.8884349199257850855333597646179937393289141857266
+-1  0.81606027941427883920223811491926956627709443427977
+-0.5  0.69673467014368328819810023250440977327904093221632
+0  0.5
+0.5  0.30326532985631671180189976749559022672095906778368
+1  0.18393972058572116079776188508073043372290556572023
+1.5  0.11156508007421491446664023538200626067108581462372
+2  0.067667641618306345946999747486242201703815773119812
+2.5  0.041042499311949397584764337233579903918902060377944
+3  0.024893534183931971489671207825030888315849796249598
+3.5  0.015098691711159250369893146181809922535830266053346
+4  0.009157819444367090146859010636620621105956033835742
+4.5  0.005554498269121153248071567143465263885769633717526
+5  0.0033689734995427335483180242115742121244247924397602
+5.5  0.0020433857192320334967323513423603842041953284719117
+6  0.0012393760883331792115225837154083339457532396747712
+6.5  0.00075171959648878622369145166608382691500025636324071
+7  0.00045594098277725810400156804220464131323686218925325
+7.5  0.00027654218507391679155100004426517859890566825829713
+8  0.00016773131395125591941069456289043050965545008482209
+8.5  0.00010173418450532208718446671524353319364865579083973
+9  0.61704902043339774748818345365016913036076303396971e-4
+9.5  0.37425914943850295735594659677277583056493289386783e-4
+10  0.22699964881242425767795757780275305118958884798806e-4
+
+*/
+template <class RealType>
+void test_pdf_cdf_ocatave()
+{
+   RealType tolerance(1e-10f);
+   
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(-2.L)),
+     // static_cast<RealType>(0.06766764161831L),
+      static_cast<RealType>(0.067667641618306345946999747486242201703815773119812L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(-2.L)),
+      //static_cast<RealType>(0.06766764161831L),
+      static_cast<RealType>(0.067667641618306345946999747486242201703815773119812L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(-1.L)),
+      //static_cast<RealType>(0.18393972058572L),
+      static_cast<RealType>(0.18393972058572116079776188508073043372290556554506L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(-1.L)),
+      static_cast<RealType>(0.18393972058572L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(-0.5L)),
+   // static_cast<RealType>(0.30326532985632L),
+      static_cast<RealType>(0.30326532985631671180189976749559022672095906778368L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(-0.5L)),
+      //static_cast<RealType>(0.30326532985632L),
+      static_cast<RealType>(0.30326532985631671180189976749559022672095906778368L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(0.0L)),
+      static_cast<RealType>(0.5L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(0.0L)),
+      static_cast<RealType>(0.5L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(0.5L)),
+      //static_cast<RealType>(0.30326532985632L),
+      static_cast<RealType>(0.30326532985631671180189976749559022672095906778368L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(0.5L)),
+      // static_cast<RealType>(0.69673467014368L),
+      static_cast<RealType>(0.69673467014368328819810023250440977327904093221632L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(1.0L)),
+    //  static_cast<RealType>(0.18393972058572L),
+      static_cast<RealType>(0.18393972058572116079776188508073043372290556554506L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(1.00000000000000L)),
+     // static_cast<RealType>(0.81606027941428L),
+      static_cast<RealType>(0.81606027941427883920223811491926956627709443427977L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      pdf(laplace_distribution<RealType>(), static_cast<RealType>(2.0L)),
+    //  static_cast<RealType>(0.06766764161831L),
+      static_cast<RealType>(0.067667641618306345946999747486242201703815772944649L),
+   tolerance);
+
+   BOOST_CHECK_CLOSE(
+      cdf(laplace_distribution<RealType>(), static_cast<RealType>(2.0L)),
+   //   static_cast<RealType>(0.93233235838169L),
+      static_cast<RealType>(0.93233235838169365405300025251375779829618422688019L),
+   tolerance);
+
+   check_out_of_range<laplace_distribution<RealType> >(0, 1);
+   BOOST_MATH_CHECK_THROW(laplace_distribution<RealType>(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(laplace_distribution<RealType>(0, -1), std::domain_error);
+}
+
+template <class RealType>
+void test_cdf_quantile_symmetry()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage.
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   
+   for (int i=0; i<7; ++i)
+   {
+      RealType x( static_cast<RealType>(xtest[i]) );
+      RealType x2( quantile(laplace_distribution<RealType>(), cdf(laplace_distribution<RealType>(), x)) );
+      BOOST_CHECK_CLOSE( x, x2, tolerance);
+   }
+}
+
+template <class RealType>
+void test_hazard_pdf_cdf_symmetry()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+
+   for (int xi=0; xi<7; ++xi)
+   {
+      RealType x( static_cast<RealType>(xtest[xi]) );
+      RealType p(  pdf(laplace_distribution<RealType>(), x)  );
+      RealType c(  cdf(laplace_distribution<RealType>(), x)  );
+      RealType h1(   p/(static_cast<RealType>(1.0) - c)  );
+      RealType h2(  hazard(laplace_distribution<RealType>(), x)  );
+      BOOST_CHECK_CLOSE( h1, h2, tolerance);
+   }
+}
+
+template <class RealType>
+void test_location_scale_symmetry()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float ltest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float stest[3] = {  0.5, 1.0, 2.0 };
+
+   for (int xi=0; xi<7; ++xi)
+      for (int li=0; li<7; ++li)
+         for (int si=0; si<3; ++si)
+         {
+            RealType x( static_cast<RealType>(xtest[xi]) );
+            RealType l( static_cast<RealType>(ltest[li]) );
+            RealType s( static_cast<RealType>(stest[si]) );
+            RealType x0( (x-l)/s );
+
+            BOOST_CHECK_CLOSE( 
+               pdf(laplace_distribution<RealType>(l,s), x) * s,
+               pdf(laplace_distribution<RealType>(), x0),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               cdf(laplace_distribution<RealType>(l,s), x),
+               cdf(laplace_distribution<RealType>(), x0),
+               tolerance);
+
+         }
+}
+
+template <class RealType>
+void test_mmm_moments()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage
+
+ //  const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float ltest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 };
+   const float stest[3] = {  0.5, 1.0, 2.0 };
+
+   for (int xi=0; xi<7; ++xi)
+      for (int li=0; li<7; ++li)
+         for (int si=0; si<3; ++si)
+         {
+            //RealType x( static_cast<RealType>(xtest[xi]) );
+            RealType l( static_cast<RealType>(ltest[li]) );
+            RealType s( static_cast<RealType>(stest[si]) );
+
+            BOOST_CHECK_CLOSE( 
+               mean( laplace_distribution<RealType>(l,s) ),
+               l,
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               median( laplace_distribution<RealType>(l,s) ),
+               l,
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               mode( laplace_distribution<RealType>(l,s) ),
+               l,
+               tolerance);
+
+
+            BOOST_CHECK_CLOSE( 
+               standard_deviation( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>( s * boost::math::constants::root_two<RealType>() ),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               skewness( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>(0),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               kurtosis( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>(6),
+               tolerance);
+
+            BOOST_CHECK_CLOSE( 
+               kurtosis_excess( laplace_distribution<RealType>(l,s) ),
+               static_cast<RealType>(3),
+               tolerance);
+
+            RealType expected_entropy = log(2*s*boost::math::constants::e<RealType>());
+            BOOST_CHECK_CLOSE(
+               entropy(laplace_distribution<RealType>(l,s) ),
+               expected_entropy,
+               tolerance);
+
+         }
+} // template <class RealType> void test_mmm_moments()
+
+template <class RealType>
+void test_complemented()
+{
+   RealType tolerance(boost::math::tools::epsilon<RealType>() * 500); // 5 eps as a percentage.
+
+   const float xtest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 }; // x values.
+   const float ptest[7] = {  0.125, 0.25, 0.5, 0.75, 0.875 }; // probability values.
+   const float ltest[7] = {  -2.0, -1.0, -0.5, 0.0, 0.5, 1.0, 2.0 }; // locations.
+   const float stest[3] = {  0.5, 1.0, 2.0 }; // scales.
+
+   for (int li=0; li<7; ++li)
+      for (int si=0; si<3; ++si)
+      {
+         RealType l( static_cast<RealType>(ltest[li]) );
+         RealType s( static_cast<RealType>(stest[si]) );
+
+         for (int xi=0; xi<7; ++xi)
+         {
+            RealType x( static_cast<RealType>(xtest[xi]) );
+
+            // Check sum of cdf and complement = unity.
+            BOOST_CHECK_CLOSE( 
+               cdf(complement(laplace_distribution<RealType>(l,s), x))
+                 + cdf(laplace_distribution<RealType>(l,s), x),
+               static_cast<RealType>(1),
+               tolerance);
+
+         }
+
+         for (int pi=0; pi<5; ++pi)
+         {
+            RealType p( static_cast<RealType>(ptest[pi]) );
+
+            BOOST_CHECK_CLOSE( 
+               quantile(complement(laplace_distribution<RealType>(l,s), 1-p )), 
+               quantile(laplace_distribution<RealType>(l,s), p),
+               tolerance);
+         }
+      }
+} // void test_complemented()
+
+template <class RealType>
+void test_bad_dist_parameters()
+{
+   // Check that can generate laplace distribution using both convenience methods:
+   laplace_distribution<double> lp1(0.5); // Using default RealType double.
+   boost::math::laplace lp2(0.5); // Using typedef. 
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType> lbad1(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType> lbad2(0, -1), std::domain_error);
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType>(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::laplace_distribution<RealType>(0, -1), std::domain_error);
+#endif
+}
+
+template <class RealType>
+void test_extreme_function_arguments()
+{
+   using boost::math::laplace_distribution;
+   using boost::math::policies::policy;
+   using boost::math::policies::overflow_error; 
+   using boost::math::policies::ignore_error;
+
+   typedef policy<
+      overflow_error<ignore_error> // Ignore if argument value causes overflow.
+      > ignore_overflow_policy;
+
+   laplace_distribution<RealType> L01(0, 1);
+   // Compare random variate x = infinity with RealType max value, usually std::numeric_limits<RealType>::max().
+   using boost::math::tools::max_value;  // In case std::numeric_limits<RealType>::max() is not defined.
+   BOOST_CHECK_EQUAL(pdf(L01, +max_value<RealType>()), pdf(L01, +std::numeric_limits<RealType>::infinity()) );
+   BOOST_CHECK_EQUAL(pdf(L01, -max_value<RealType>()), pdf(L01, -std::numeric_limits<RealType>::infinity()) );
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+   laplace_distribution<RealType, ignore_overflow_policy> L1(0, 1);
+   laplace_distribution<RealType, ignore_overflow_policy> L2(1, 2);
+   laplace_distribution<RealType> l01;
+
+   // Check pdf == 0 at x = +/- infinity.
+   BOOST_CHECK_EQUAL(pdf(L01, +std::numeric_limits<RealType>::infinity()), 0 );
+   BOOST_CHECK_EQUAL(pdf(L01, -std::numeric_limits<RealType>::infinity()), 0 );
+
+   BOOST_CHECK_EQUAL(cdf(L01, +std::numeric_limits<RealType>::infinity()), 1 );
+   BOOST_CHECK_EQUAL(cdf(L01, -std::numeric_limits<RealType>::infinity()), 0 );
+   BOOST_CHECK_EQUAL(cdf(complement(L01, +std::numeric_limits<RealType>::infinity())), 0 );
+   BOOST_CHECK_EQUAL(cdf(complement(L01, -std::numeric_limits<RealType>::infinity())), 1 );
+
+   // Trac #9672 Feb 2014 x = infinity is now allowed.
+   //BOOST_MATH_CHECK_THROW(pdf(L1, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(pdf(L1, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(pdf(L2, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(pdf(L2, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+
+   // Check cdf at x = +/- infinity.
+   //BOOST_MATH_CHECK_THROW(cdf(L1, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(cdf(L1, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(cdf(L2, +std::numeric_limits<RealType>::infinity()), std::domain_error);
+   //BOOST_MATH_CHECK_THROW(cdf(L2, -std::numeric_limits<RealType>::infinity()), std::domain_error);
+
+   // Check quantile at p = 0, 1 which return infinity.
+   BOOST_CHECK_EQUAL(quantile(L1, 0), -std::numeric_limits<RealType>::infinity() );
+   BOOST_CHECK_EQUAL(quantile(L1, 1), +std::numeric_limits<RealType>::infinity() );
+   BOOST_CHECK_EQUAL(quantile(L2, 0), -std::numeric_limits<RealType>::infinity() );
+   BOOST_CHECK_EQUAL(quantile(L2, 1), +std::numeric_limits<RealType>::infinity() );
+  }
+}
+
+BOOST_AUTO_TEST_CASE( vs_GNU_Octave )
+{
+   test_pdf_cdf_ocatave<float>();
+   test_pdf_cdf_ocatave<double>();
+}
+
+BOOST_AUTO_TEST_CASE( cdf_quantile_symmetry )
+{
+   test_cdf_quantile_symmetry<float>();
+   test_cdf_quantile_symmetry<double>();
+}
+
+BOOST_AUTO_TEST_CASE( hazard_pdf_cdf_symmetry )
+{
+   test_hazard_pdf_cdf_symmetry<float>();
+   test_hazard_pdf_cdf_symmetry<double>();
+}
+
+BOOST_AUTO_TEST_CASE( location_scale_symmetry )
+{
+   test_location_scale_symmetry<float>();
+   test_location_scale_symmetry<double>();
+}
+
+BOOST_AUTO_TEST_CASE( mmm_moments )
+{
+   test_mmm_moments<float>();
+   test_mmm_moments<double>();
+}
+
+BOOST_AUTO_TEST_CASE( t_complemented )
+{
+   test_complemented<float>();
+   test_complemented<double>();
+}
+
+BOOST_AUTO_TEST_CASE( bad_dist_parameters )
+{
+   test_bad_dist_parameters<float>();
+   test_bad_dist_parameters<double>();
+}
+
+BOOST_AUTO_TEST_CASE( extreme_function_arguments )
+{
+   BOOST_TEST_MESSAGE("extreme arguments");
+   test_extreme_function_arguments<float>();
+   test_extreme_function_arguments<double>();
+}
+
+/*
+
+Output:
+
+------ Rebuild All started: Project: test_laplace, Configuration: Debug Win32 ------
+  test_laplace.cpp
+  test_laplace.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_laplace.exe
+  Running 8 test cases...
+  
+  *** No errors detected
+========== Rebuild All: 1 succeeded, 0 failed, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_ldouble_simple.cpp b/src/boost/libs/math/test/test_ldouble_simple.cpp
new file mode 100644
index 000000000..9f5fd5665
--- /dev/null
+++ b/src/boost/libs/math/test/test_ldouble_simple.cpp
@@ -0,0 +1,33 @@
+// Copyright John Maddock 2013.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This file verifies that certain core functions are always
+// available, even when long double support is patchy at best
+// and BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS is defined.
+//
+#define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_CHECK_EQUAL((boost::math::signbit)(1.0L), 0.0L);
+   BOOST_CHECK((boost::math::signbit)(-1.0L) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(1.0L), 1.0L);
+   BOOST_CHECK_EQUAL((boost::math::sign)(-1.0L), -1.0L);
+   BOOST_CHECK_EQUAL((boost::math::changesign)(1.0L), -1.0L);
+   BOOST_CHECK_EQUAL((boost::math::changesign)(-1.0L), 1.0L);
+
+   BOOST_CHECK_EQUAL((boost::math::fpclassify)(1.0L), (int)FP_NORMAL);
+   BOOST_CHECK_EQUAL((boost::math::isnan)(1.0L), false);
+   BOOST_CHECK_EQUAL((boost::math::isinf)(1.0L), false);
+   BOOST_CHECK_EQUAL((boost::math::isnormal)(1.0L), true);
+   BOOST_CHECK_EQUAL((boost::math::isfinite)(1.0L), true);
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_legacy_nonfinite.cpp b/src/boost/libs/math/test/test_legacy_nonfinite.cpp
new file mode 100644
index 000000000..efa40da9f
--- /dev/null
+++ b/src/boost/libs/math/test/test_legacy_nonfinite.cpp
@@ -0,0 +1,185 @@
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow comments
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+/*!
+\file
+\brief Legacy (non-C99) tests of the nonfinite num facets.
+
+\detail legacy_test outputs using nonfinite_num_put facet
+with legacy flag, and reads back in using nonfinite_num_ facet,
+and checks loopback OK.
+
+Also checks that output of infinity, -infinity and NaN are as expected,
+including the 'legacy' "1.#IND",  "1.#QNAN", "1.#SNAN" representations
+(was used by MSVC but now all represented on output by "1.#QNAN") 
+and qnan snan nanq nans (used by other systems)
+excluding C99 specification  "nan -nan nan -nan" and "inf -inf".
+*/
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702)
+#endif
+
+#include <iomanip>
+#include <locale>
+#include <sstream>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+
+//#include "almost_equal.hpp"
+//#include "S_.hpp"
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+namespace {
+
+// The anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions declared at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+void legacy_test_inf();
+void legacy_test_nan();
+
+BOOST_AUTO_TEST_CASE(legacy_test)
+{
+    legacy_test_inf();
+    legacy_test_nan();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void legacy_test_inf_impl();
+
+void legacy_test_inf()
+{
+    legacy_test_inf_impl<char, float>();
+    legacy_test_inf_impl<char, double>();
+    legacy_test_inf_impl<char, long double>();
+    legacy_test_inf_impl<wchar_t, float>();
+    legacy_test_inf_impl<wchar_t, double>();
+    legacy_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void legacy_test_inf_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale, new nonfinite_num_get<CharType>(legacy));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a1 << ' ' << a2;
+
+    ss << " 1.#INF";
+
+    ValType b1, b2, b3;
+    ss >> b1 >> b2 >> b3;
+
+    BOOST_CHECK(b1 == a1);
+    BOOST_CHECK(b2 == a2);
+    BOOST_CHECK(b3 == std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void legacy_test_nan_impl();
+
+void legacy_test_nan()
+{
+    legacy_test_nan_impl<char, float>();
+    legacy_test_nan_impl<char, double>();
+    legacy_test_nan_impl<char, long double>();
+    legacy_test_nan_impl<wchar_t, float>();
+    legacy_test_nan_impl<wchar_t, double>();
+    legacy_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void legacy_test_nan_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale, new nonfinite_num_get<CharType>(legacy));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ValType a2 = -std::numeric_limits<ValType>::quiet_NaN();
+    ValType a3 = std::numeric_limits<ValType>::signaling_NaN();
+    ValType a4 = -std::numeric_limits<ValType>::signaling_NaN();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4; 
+
+    ss << " qnan snan nanq nans 1.#IND 1.#QNAN 1.#SNAN";
+
+    ValType b1, b2, b3, b4, b5, b6, b7, b8, b9, b10, b11;
+    ss >> b1 >> b2 >> b3 >> b4 >> b5 >> b6 >> b7 >> b8 >> b9 >> b10 >> b11;
+
+    // std::cout << b11 << std::endl; // Confirms that legacy
+    // IND, SNAN and QNAN are considered the same,
+    // and both output the legacy string "1.#QNAN".
+
+    BOOST_CHECK((isnan)(b1));
+    BOOST_CHECK((isnan)(b2));
+    BOOST_CHECK((isnan)(b3));
+    BOOST_CHECK((isnan)(b4));
+    BOOST_CHECK((isnan)(b5));
+    BOOST_CHECK((isnan)(b6));
+    BOOST_CHECK((isnan)(b7));
+    BOOST_CHECK((isnan)(b8));
+    BOOST_CHECK((isnan)(b9));
+    BOOST_CHECK((isnan)(b10));
+    BOOST_CHECK((isnan)(b11));  //  Johan V3 1.#SNAN failed on MSVC 10.
+    // Change in nonfinite_num_facet.hpp Paul A. Bristow 11 Apr 11 makes work OK.
+/*
+    // These tests fail on platforms, such as gcc,
+    // that use the same representation of +nan and -nan.
+
+    BOOST_CHECK(!(signbit)(b1));
+    BOOST_CHECK((signbit)(b2));
+    BOOST_CHECK(!(signbit)(b3));
+    BOOST_CHECK((signbit)(b4));
+*/
+    BOOST_CHECK(!(signbit)(b5));
+    BOOST_CHECK(!(signbit)(b6));
+    BOOST_CHECK(!(signbit)(b7));
+    BOOST_CHECK(!(signbit)(b8));
+    BOOST_CHECK(!(signbit)(b9));
+    BOOST_CHECK(!(signbit)(b10));
+    BOOST_CHECK(!(signbit)(b11));  // Johan V3 1.#SNAN failed MSVC 10.
+
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit); // Fails if SNAN test fails.
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
+
+/*
+
+Output:
+
+  legacy_test.vcxproj -> J:\Cpp\fp_facet\fp_facet\Debug\legacy_test.exe
+  Running 1 test case...
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  1.#QNAN
+  
+  *** No errors detected
+
+
+*/
diff --git a/src/boost/libs/math/test/test_legendre.cpp b/src/boost/libs/math/test/test_legendre.cpp
new file mode 100644
index 000000000..3a0490d5f
--- /dev/null
+++ b/src/boost/libs/math/test/test_legendre.cpp
@@ -0,0 +1,231 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_legendre.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the legendre polynomials.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // Linux:
+   //
+   if((std::numeric_limits<long double>::digits <= 64)
+      && (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits))
+   {
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 10, 5);                  // test function
+#endif
+   }
+   if(std::numeric_limits<long double>::digits == 64)
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_p", 1000, 200);  // test function
+      add_expected_result(
+         "Intel.*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_q", 10000, 1000);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_q", 7000, 1000);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_p", 1000, 200);  // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "real_concept",                  // test type(s)
+         "Legendre Polynomials.*Large.*",      // test data group
+         "legendre_q", 7000, 1000);  // test function
+   }
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_p", 500, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_q", 5400, 500);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_p", 300, 80);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_q", 100, 50);  // test function
+   add_expected_result(
+      "Intel.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Associated Legendre Polynomials.*",      // test data group
+      ".*", 300, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "Associated Legendre Polynomials.*",      // test data group
+      ".*", 200, 20);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_p", 500, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*Large.*",      // test data group
+      "legendre_q", 5400, 500);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_p", 300, 80);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Legendre Polynomials.*",      // test data group
+      "legendre_q", 100, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      "Associated Legendre Polynomials.*",      // test data group
+      ".*", 200, 20);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+   test_legendre_p(0.1F, "float");
+   test_legendre_p(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_legendre_p(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_legendre_p(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_legendre_p_prime<float>();
+   test_legendre_p_prime<double>();
+   test_legendre_p_prime<long double>();
+
+   int ulp_distance = test_legendre_p_zeros_double_ulp(1, 100);
+   BOOST_CHECK(ulp_distance <= 2);
+   test_legendre_p_zeros<float>();
+   test_legendre_p_zeros<double>();
+   test_legendre_p_zeros<long double>();
+}
diff --git a/src/boost/libs/math/test/test_legendre.hpp b/src/boost/libs/math/test/test_legendre.hpp
new file mode 100644
index 000000000..b260050b1
--- /dev/null
+++ b/src/boost/libs/math/test/test_legendre.hpp
@@ -0,0 +1,367 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4756) // overflow in constant arithmetic
+#endif
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/special_functions/legendre.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_legendre_p(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(int, value_type);
+   pg funcp;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_P_FUNCTION_TO_TEST))
+#ifdef LEGENDRE_P_FUNCTION_TO_TEST
+   funcp = LEGENDRE_P_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::legendre_p<value_type>;
+#else
+   funcp = boost::math::legendre_p;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test legendre_p against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int1<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_p", test_name);
+#endif
+
+   typedef value_type (*pg2)(unsigned, value_type);
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_Q_FUNCTION_TO_TEST))
+#ifdef LEGENDRE_Q_FUNCTION_TO_TEST
+   pg2 funcp2 = LEGENDRE_Q_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg2 funcp2 = boost::math::legendre_q<value_type>;
+#else
+   pg2 funcp2 = boost::math::legendre_q;
+#endif
+
+   //
+   // test legendre_q against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int1<Real>(funcp2, 0, 1),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_q", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void do_test_assoc_legendre_p(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_PA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(int, int, value_type);
+#ifdef LEGENDRE_PA_FUNCTION_TO_TEST
+   pg funcp = LEGENDRE_PA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::legendre_p<value_type>;
+#else
+   pg funcp = boost::math::legendre_p;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test legendre_p against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int2<Real>(funcp, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_p (associated)", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_legendre_p(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "legendre_p.ipp"
+
+   do_test_legendre_p<T>(legendre_p, name, "Legendre Polynomials: Small Values");
+
+#  include "legendre_p_large.ipp"
+
+   do_test_legendre_p<T>(legendre_p_large, name, "Legendre Polynomials: Large Values");
+
+#  include "assoc_legendre_p.ipp"
+
+   do_test_assoc_legendre_p<T>(assoc_legendre_p, name, "Associated Legendre Polynomials: Small Values");
+
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100;
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(1, static_cast<T>(0.5L)), static_cast<T>(0.5L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-1, static_cast<T>(0.5L)), static_cast<T>(1L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, static_cast<T>(0.5L)), static_cast<T>(-0.2890625000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, static_cast<T>(0.5L)), static_cast<T>(-0.4375000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, static_cast<T>(0.5L)), static_cast<T>(0.2231445312500000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, static_cast<T>(0.5L)), static_cast<T>(0.3232421875000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, static_cast<T>(0.5L)), static_cast<T>(-0.09542943523261546936538467572384923220258L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, static_cast<T>(0.5L)), static_cast<T>(-0.1316993126940266257030910566308990611306L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, 2, static_cast<T>(0.5L)), static_cast<T>(4.218750000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, 2, static_cast<T>(0.5L)), static_cast<T>(5.625000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, 5, static_cast<T>(0.5L)), static_cast<T>(-5696.789530152175143607977274672800795328L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, 4, static_cast<T>(0.5L)), static_cast<T>(465.1171875000000000000000000000000000000L), tolerance);
+   if(std::numeric_limits<T>::max_exponent > std::numeric_limits<float>::max_exponent)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, 30, static_cast<T>(0.5L)), static_cast<T>(-7.855722083232252643913331343916012143461e45L), tolerance);
+   }
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, 20, static_cast<T>(0.5L)), static_cast<T>(4.966634149702370788037088925152355134665e30L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, 2, static_cast<T>(-0.5L)), static_cast<T>(4.218750000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, 2, static_cast<T>(-0.5L)), static_cast<T>(-5.625000000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, 5, static_cast<T>(-0.5L)), static_cast<T>(-5696.789530152175143607977274672800795328L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, 4, static_cast<T>(-0.5L)), static_cast<T>(465.1171875000000000000000000000000000000L), tolerance);
+   if(std::numeric_limits<T>::max_exponent > std::numeric_limits<float>::max_exponent)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, 30, static_cast<T>(-0.5L)), static_cast<T>(-7.855722083232252643913331343916012143461e45L), tolerance);
+   }
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, 20, static_cast<T>(-0.5L)), static_cast<T>(-4.966634149702370788037088925152355134665e30L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, -2, static_cast<T>(0.5L)), static_cast<T>(0.01171875000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, -2, static_cast<T>(0.5L)), static_cast<T>(0.04687500000000000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, -5, static_cast<T>(0.5L)), static_cast<T>(0.00002378609812640364935569308025139290054701L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, -4, static_cast<T>(0.5L)), static_cast<T>(0.0002563476562500000000000000000000000000000L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, -30, static_cast<T>(0.5L)), static_cast<T>(-2.379819988646847616996471299410611801239e-48L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, -20, static_cast<T>(0.5L)), static_cast<T>(4.356454600748202401657099008867502679122e-33L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(1, static_cast<T>(0.5L)), static_cast<T>(-0.7253469278329725771511886907693685738381L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(4, static_cast<T>(0.5L)), static_cast<T>(0.4401745259867706044988642951843745400835L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(7, static_cast<T>(0.5L)), static_cast<T>(-0.3439152932669753451878700644212067616780L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(40, static_cast<T>(0.5L)), static_cast<T>(0.1493671665503550095010454949479907886011L), tolerance);
+}
+
+template <class T>
+void test_legendre_p_prime()
+{
+    T tolerance = 100*boost::math::tools::epsilon<T>();
+    T x = -1;
+    while (x <= 1)
+    {
+        // P_0'(x) = 0
+        BOOST_CHECK_SMALL(::boost::math::legendre_p_prime<T>(0,  x), tolerance);
+        // Reflection formula for P_{-1}(x) = P_{0}(x):
+        BOOST_CHECK_SMALL(::boost::math::legendre_p_prime<T>(-1,  x), tolerance);
+
+        // P_1(x) = x, so P_1'(x) = 1:
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(1,  x), static_cast<T>(1), tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-2,  x), static_cast<T>(1), tolerance);
+
+        // P_2(x) = 3x^2/2 + k => P_2'(x) = 3x
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(2,  x), 3*x, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-3,  x), 3*x, tolerance);
+
+        // P_3(x) = (5x^3 - 3x)/2 => P_3'(x) = (15x^2 - 3)/2:
+        T xsq = x*x;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(3,  x), (15*xsq - 3)/2, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-4,  x), (15*xsq -3)/2, tolerance);
+
+        // P_4(x) = (35x^4 - 30x^2 +3)/8 => P_4'(x) = (5x/2)*(7x^2 - 3)
+        T expected = 5*x*(7*xsq - 3)/2;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(4,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-5,  x), expected, tolerance);
+
+        // P_5(x) = (63x^5 - 70x^3 + 15x)/8 => P_5'(x) = (315*x^4 - 210*x^2 + 15)/8
+        T x4 = xsq*xsq;
+        expected = (315*x4 - 210*xsq + 15)/8;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(5,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-6,  x), expected, tolerance);
+
+        // P_6(x) = (231x^6 -315*x^4 +105x^2 -5)/16 => P_6'(x) = (6*231*x^5 - 4*315*x^3 + 105x)/16
+        expected = 21*x*(33*x4 - 30*xsq + 5)/8;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(6,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-7,  x), expected, tolerance);
+
+        // Mathematica: D[LegendreP[7, x],x]
+        T x6 = x4*xsq;
+        expected = 7*(429*x6 -495*x4 + 135*xsq - 5)/16;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(7,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-8,  x), expected, tolerance);
+
+        // Mathematica: D[LegendreP[8, x],x]
+        // The naive polynomial evaluation algorithm is going to get worse from here out, so this will be enough.
+        expected = 9*x*(715*x6 - 1001*x4 + 385*xsq - 35)/16;
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(8,  x), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-9,  x), expected, tolerance);
+
+        x += static_cast<T>(1)/static_cast<T>(pow(T(2), T(4)));
+    }
+
+    int n = 0;
+    while (n < 5000)
+    {
+        T expected = n*(n+1)*boost::math::constants::half<T>();
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(n, (T) 1), expected, tolerance);
+        BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-n - 1,  (T) 1), expected, tolerance);
+        if (n & 1)
+        {
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(n, (T) -1), expected, tolerance);
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-n - 1,  (T) -1), expected, tolerance);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(n, (T) -1), -expected, tolerance);
+            BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p_prime<T>(-n - 1,  (T) -1), -expected, tolerance);
+        }
+        ++n;
+    }
+}
+
+template<class Real>
+void test_legendre_p_zeros()
+{
+    std::cout << "Testing Legendre zeros on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    using std::sqrt;
+    using std::abs;
+    using boost::math::legendre_p_zeros;
+    using boost::math::legendre_p;
+    using boost::math::constants::third;
+    Real tol = std::numeric_limits<Real>::epsilon();
+
+    // Check the trivial cases:
+    std::vector<Real> zeros = legendre_p_zeros<Real>(1);
+    BOOST_ASSERT(zeros.size() == 1);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+
+    zeros = legendre_p_zeros<Real>(2);
+    BOOST_ASSERT(zeros.size() == 1);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], (Real) 1/ sqrt(static_cast<Real>(3)), tol);
+
+    zeros = legendre_p_zeros<Real>(3);
+    BOOST_ASSERT(zeros.size() == 2);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], sqrt(static_cast<Real>(3)/static_cast<Real>(5)), tol);
+
+    zeros = legendre_p_zeros<Real>(4);
+    BOOST_ASSERT(zeros.size() == 2);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[0], sqrt( (15-2*sqrt(static_cast<Real>(30)))/static_cast<Real>(35) ), tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], sqrt( (15+2*sqrt(static_cast<Real>(30)))/static_cast<Real>(35) ), tol);
+
+
+    zeros = legendre_p_zeros<Real>(5);
+    BOOST_ASSERT(zeros.size() == 3);
+    BOOST_CHECK_SMALL(zeros[0], tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[1], third<Real>()*sqrt( (35 - 2*sqrt(static_cast<Real>(70)))/static_cast<Real>(7) ), 2*tol);
+    BOOST_CHECK_CLOSE_FRACTION(zeros[2], third<Real>()*sqrt( (35 + 2*sqrt(static_cast<Real>(70)))/static_cast<Real>(7) ), 2*tol);
+
+    // Don't take the tolerances too seriously.
+    // The other test shows that the zeros are estimated more accurately than the function!
+    for (unsigned n = 6; n < 130; ++n)
+    {
+        zeros = legendre_p_zeros<Real>(n);
+        if (n & 1)
+        {
+            BOOST_CHECK(zeros.size() == (n-1)/2 +1);
+            BOOST_CHECK_SMALL(zeros[0], tol);
+        }
+        else
+        {
+            // Zero is not a zero of the odd Legendre polynomials
+            BOOST_CHECK(zeros.size() == n/2);
+            BOOST_CHECK(zeros[0] > 0);
+            BOOST_CHECK_SMALL(legendre_p(n, zeros[0]), 550*tol);
+        }
+        Real previous_zero = zeros[0];
+        for (unsigned k = 1; k < zeros.size(); ++k)
+        {
+            Real next_zero = zeros[k];
+            BOOST_CHECK(next_zero > previous_zero);
+
+            std::string err = "Tolerance failed for (n, k) = (" + boost::lexical_cast<std::string>(n) + "," + boost::lexical_cast<std::string>(k) + ")\n";
+            if (n < 40)
+            {
+                BOOST_CHECK_MESSAGE( abs(legendre_p(n, next_zero)) < 100*tol,
+                                     err);
+            }
+            else
+            {
+              BOOST_CHECK_MESSAGE( abs(legendre_p(n, next_zero)) < 1000*tol,
+                                   err);
+            }
+            previous_zero = next_zero;
+        }
+        // The zeros of orthogonal polynomials are contained strictly in (a, b).
+        BOOST_CHECK(previous_zero < 1);
+    }
+    return;
+}
+
+int test_legendre_p_zeros_double_ulp(int min_x, int max_n)
+{
+    std::cout << "Testing ULP distance for Legendre zeros.\n";
+    using std::abs;
+    using boost::math::legendre_p_zeros;
+    using boost::math::float_distance;
+    using boost::multiprecision::cpp_bin_float_quad;
+
+    double max_float_distance = 0;
+    for (int n = min_x; n < max_n; ++n)
+    {
+        std::vector<double> double_zeros = legendre_p_zeros<double>(n);
+        std::vector<cpp_bin_float_quad> quad_zeros   = legendre_p_zeros<cpp_bin_float_quad>(n);
+        BOOST_ASSERT(quad_zeros.size() == double_zeros.size());
+        for (int k = 0; k < (int)double_zeros.size(); ++k)
+        {
+            double d = abs(float_distance(double_zeros[k], quad_zeros[k].convert_to<double>()));
+            if (d > max_float_distance)
+            {
+                max_float_distance = d;
+            }
+        }
+    }
+
+    return (int) max_float_distance;
+}
diff --git a/src/boost/libs/math/test/test_legendre_hooks.hpp b/src/boost/libs/math/test/test_legendre_hooks.hpp
new file mode 100644
index 000000000..3c962615f
--- /dev/null
+++ b/src/boost/libs/math/test/test_legendre_hooks.hpp
@@ -0,0 +1,41 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_LEGENDRE_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_LEGENDRE_OTHER_HOOKS_HPP
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_legendre.h>
+
+namespace other{
+inline float legendre_p(int l, float a)
+{ return (float)gsl_sf_legendre_Pl (l, a); }
+inline double legendre_p(int l, double a)
+{ return gsl_sf_legendre_Pl (l, a); }
+inline long double legendre_p(int l, long double a)
+{ return gsl_sf_legendre_Pl (l, a); }
+
+inline float legendre_q(int l, float a)
+{ return (float)gsl_sf_legendre_Ql (l, a); }
+inline double legendre_q(int l, double a)
+{ return gsl_sf_legendre_Ql (l, a); }
+inline long double legendre_q(int l, long double a)
+{ return gsl_sf_legendre_Ql (l, a); }
+
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept legendre_p(int, boost::math::concepts::real_concept){ return 0; }
+   boost::math::concepts::real_concept legendre_q(int, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_lexical_cast.cpp b/src/boost/libs/math/test/test_lexical_cast.cpp
new file mode 100644
index 000000000..e129dde83
--- /dev/null
+++ b/src/boost/libs/math/test/test_lexical_cast.cpp
@@ -0,0 +1,122 @@
+
+// Copyright (c) 2006 Johan Rade
+
+// Copyright (c) 2011 Paul A. Bristow incorporated Boost.Math
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//#ifdef _MSC_VER
+//#   pragma warning(disable : 4127 4511 4512 4701 4702)
+//#endif
+
+#define BOOST_TEST_MAIN
+
+#include <limits>
+#include <locale>
+#include <string>
+#include <boost/lexical_cast.hpp>
+#include <boost/test/unit_test.hpp>
+
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "almost_equal.ipp"
+#include "s_.ipp"
+
+namespace {
+
+// the anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope
+
+using boost::lexical_cast;
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void lexical_cast_test_impl();
+
+BOOST_AUTO_TEST_CASE(lexical_cast_test)
+{
+    lexical_cast_test_impl<char, float>();
+    lexical_cast_test_impl<char, double>();
+    lexical_cast_test_impl<char, long double>();
+    lexical_cast_test_impl<wchar_t, float>();
+    lexical_cast_test_impl<wchar_t, double>();
+    lexical_cast_test_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void lexical_cast_test_impl()
+{
+    if((std::numeric_limits<ValType>::has_infinity == 0) || (std::numeric_limits<ValType>::infinity() == 0))
+       return;
+    if((std::numeric_limits<ValType>::has_quiet_NaN == 0) || (std::numeric_limits<ValType>::quiet_NaN() == 0))
+       return;
+
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale,
+        new nonfinite_num_put<CharType>(signed_zero));
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+    std::locale::global(new_locale);
+
+    ValType a1 = static_cast<ValType>(0);
+    ValType a2 = static_cast<ValType>(13);
+    ValType a3 = std::numeric_limits<ValType>::infinity();
+    ValType a4 = std::numeric_limits<ValType>::quiet_NaN();
+    ValType a5 = std::numeric_limits<ValType>::signaling_NaN();
+    ValType a6 = (changesign)(static_cast<ValType>(0));
+    ValType a7 = static_cast<ValType>(-57);
+    ValType a8 = -std::numeric_limits<ValType>::infinity();
+    ValType a9 = (changesign)(std::numeric_limits<ValType>::quiet_NaN()); // -NaN
+    ValType a10 = (changesign)(std::numeric_limits<ValType>::signaling_NaN()); // -NaN
+
+    std::basic_string<CharType> s1 = S_("0");
+    std::basic_string<CharType> s2 = S_("13");
+    std::basic_string<CharType> s3 = S_("inf");
+    std::basic_string<CharType> s4 = S_("nan");
+    std::basic_string<CharType> s5 = S_("nan");
+    std::basic_string<CharType> s6 = S_("-0");
+    std::basic_string<CharType> s7 = S_("-57");
+    std::basic_string<CharType> s8 = S_("-inf");
+    std::basic_string<CharType> s9 = S_("-nan");
+    std::basic_string<CharType> s10 = S_("-nan");
+
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a1) == s1);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a2) == s2);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a3) == s3);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a4) == s4);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a5) == s5);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a6) == s6);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a7) == s7);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a8) == s8);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a9) == s9);
+    BOOST_CHECK(lexical_cast<std::basic_string<CharType> >(a10) == s10);
+
+    BOOST_CHECK(lexical_cast<ValType>(s1) == a1);
+    BOOST_CHECK(!(signbit)(lexical_cast<ValType>(s1)));
+    BOOST_CHECK(lexical_cast<ValType>(s2) == a2);
+    BOOST_CHECK(lexical_cast<ValType>(s3) == a3);
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s4)));
+    BOOST_CHECK(!(signbit)(lexical_cast<ValType>(s4)));
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s5)));
+    BOOST_CHECK(!(signbit)(lexical_cast<ValType>(s5)));
+    BOOST_CHECK(lexical_cast<ValType>(a6) == a6);
+    BOOST_CHECK((signbit)(lexical_cast<ValType>(s6)));
+    BOOST_CHECK(lexical_cast<ValType>(s7) == a7);
+    BOOST_CHECK(lexical_cast<ValType>(s8) == a8);
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s9)));
+    BOOST_CHECK((signbit)(lexical_cast<ValType>(s9)));
+    BOOST_CHECK((isnan)(lexical_cast<ValType>(s10)));
+    BOOST_CHECK((signbit)(lexical_cast<ValType>(s10)));
+
+    std::locale::global(old_locale);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
diff --git a/src/boost/libs/math/test/test_logistic_dist.cpp b/src/boost/libs/math/test/test_logistic_dist.cpp
new file mode 100644
index 000000000..72f6e01d1
--- /dev/null
+++ b/src/boost/libs/math/test/test_logistic_dist.cpp
@@ -0,0 +1,385 @@
+// Copyright 2008 Gautam Sewani
+// Copyright 2013 Paul A. Bristow
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#endif
+
+#include <boost/config.hpp>
+#ifndef BOOST_NO_EXCEPTIONS
+#define BOOST_MATH_UNDERFLOW_ERROR_POLICY throw_on_error
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
+#endif
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/logistic.hpp>
+    using boost::math::logistic_distribution;
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType location, RealType scale, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+      logistic_distribution<RealType>(location,scale),      
+      x),
+      p,
+      tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+      complement(logistic_distribution<RealType>(location,scale),      
+      x)),
+      q,
+      tolerance); // %
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+         logistic_distribution<RealType>(location,scale),      
+         p),
+         x,
+         tolerance); // %
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+         complement(logistic_distribution<RealType>(location,scale),      
+         q)),
+         x,
+         2 * tolerance); // %
+   }
+}
+
+
+template <class RealType>
+void test_spots(RealType T)
+{
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // Test data taken from Mathematica 6
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(1e-33L),
+      boost::math::tools::epsilon<RealType>());
+   cout<<"Absolute tolerance:"<<tolerance<<endl;
+
+   tolerance *= 50 * 100; 
+   // #  pragma warning(disable: 4100) // unreferenced formal parameter.
+   // prevent his spurious warning.
+   if (T != 0)
+   {
+      cout << "Expect parameter T == 0!" << endl;
+   }
+   cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+   test_spot(
+      static_cast<RealType>(1), // location
+      static_cast<RealType>(0.5L), // scale
+      static_cast<RealType>(0.1L), // x
+      static_cast<RealType>(0.141851064900487789594278108470953L), // p
+      static_cast<RealType>(0.858148935099512210405721891529047L), //q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(5), // location
+      static_cast<RealType>(2), // scale
+      static_cast<RealType>(3.123123123L),//x 
+      static_cast<RealType>(0.281215878622547904873088053477813L), // p
+      static_cast<RealType>(0.718784121377452095126911946522187L), //q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(1.2345L), // location
+      static_cast<RealType>(0.12345L), // scale
+      static_cast<RealType>(3.123123123L),//x
+      static_cast<RealType>(0.999999773084685079723328282229357L), // p
+      static_cast<RealType>(2.26915314920276671717770643005212e-7L), //q
+      tolerance);
+
+
+   //High probability
+   test_spot(
+      static_cast<RealType>(1), // location
+      static_cast<RealType>(0.5L), // scale
+      static_cast<RealType>(10), // x
+      static_cast<RealType>(0.99999998477002048723965105559179L), // p  
+      static_cast<RealType>(1.5229979512760348944408208801237e-8L), //q
+      tolerance);
+
+   //negative x
+   test_spot(
+      static_cast<RealType>(5), // location
+      static_cast<RealType>(2), // scale
+      static_cast<RealType>(-0.1L), // scale
+      static_cast<RealType>(0.0724264853615177178439235061476928L), // p
+      static_cast<RealType>(0.927573514638482282156076493852307L), //q
+      tolerance);
+
+
+   test_spot(
+      static_cast<RealType>(5), // location
+      static_cast<RealType>(2), // scale
+      static_cast<RealType>(-20), // x
+      static_cast<RealType>(3.72663928418656138608800947863869e-6L), // p
+      static_cast<RealType>(0.999996273360715813438613911990521L), //q
+      tolerance);
+
+
+   // Test value to check cancellation error in straight/complemented quantile.
+   // The subtraction in the formula location-scale*log term introduces catastrophic
+   // cancellation error if location and scale*log term are close.
+   // For these values, the tests fail at tolerance, but work at 100*tolerance.
+   test_spot(
+      static_cast<RealType>(-1.2345L), // location
+      static_cast<RealType>(1.4555L), // scale
+      static_cast<RealType>(-0.00125796420642514024493852425918807L),// x
+      static_cast<RealType>(0.7L), // p
+      static_cast<RealType>(0.3L), //q
+      80*tolerance);   
+
+   test_spot(
+      static_cast<RealType>(1.2345L), // location
+      static_cast<RealType>(0.12345L), // scale
+      static_cast<RealType>(0.0012345L), // x
+      static_cast<RealType>(0.0000458541039469413343331170952855318L), // p
+      static_cast<RealType>(0.999954145896053058665666882904714L), //q
+      80*tolerance);
+
+
+
+   test_spot(
+      static_cast<RealType>(5L), // location
+      static_cast<RealType>(2L), // scale
+      static_cast<RealType>(0.0012345L), // x
+      static_cast<RealType>(0.0759014628704232983512906076564256L), // p
+      static_cast<RealType>(0.924098537129576701648709392343574L), //q
+      80*tolerance);
+
+   //negative location
+   test_spot(
+      static_cast<RealType>(-123.123123L), // location
+      static_cast<RealType>(2.123L), // scale
+      static_cast<RealType>(3), // x
+      static_cast<RealType>(0.999999999999999999999999984171276L), // p
+      static_cast<RealType>(1.58287236765203121622150720373972e-26L), //q
+      tolerance);
+   //PDF Testing
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+      logistic_distribution<RealType>(5,2),      
+         static_cast<RealType>(0.125L) ),//x
+         static_cast<RealType>(0.0369500730133475464584898192104821L),              // probability
+      tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         logistic_distribution<RealType>(static_cast<RealType>(1.2345L), static_cast<RealType>(0.12345L)),      
+         static_cast<RealType>(0.0012345L) ),//x
+         static_cast<RealType>(0.000371421639109700748742498671686243L),              // probability
+      tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+      logistic_distribution<RealType>(2,1),      
+         static_cast<RealType>(2L) ),//x
+         static_cast<RealType>(0.25L),              // probability
+      tolerance); // %
+
+   //Extreme value testing
+
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), +std::numeric_limits<RealType>::infinity()), 0); // x = + infinity, pdf = 0
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, pdf = 0
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), +std::numeric_limits<RealType>::infinity()), 1); // x = + infinity, cdf = 1
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, cdf = 0
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), +std::numeric_limits<RealType>::infinity())), 0); // x = + infinity, c cdf = 0
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), -std::numeric_limits<RealType>::infinity())), 1); // x = - infinity, c cdf = 1
+   }
+   BOOST_MATH_CHECK_THROW(quantile(logistic_distribution<RealType>(), static_cast<RealType>(1)), std::overflow_error); // x = + infinity, cdf = 1
+   BOOST_MATH_CHECK_THROW(quantile(logistic_distribution<RealType>(), static_cast<RealType>(0)), std::overflow_error); // x = - infinity, cdf = 0
+   BOOST_MATH_CHECK_THROW(quantile(complement(logistic_distribution<RealType>(), static_cast<RealType>(1))), std::overflow_error); // x = - infinity, cdf = 0
+   BOOST_MATH_CHECK_THROW(quantile(complement(logistic_distribution<RealType>(), static_cast<RealType>(0))), std::overflow_error); // x = + infinity, cdf = 1
+   BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), +boost::math::tools::max_value<RealType>()), 1); // x = + infinity, cdf = 1
+   BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(), -boost::math::tools::max_value<RealType>()), 0); // x = - infinity, cdf = 0
+   BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), +boost::math::tools::max_value<RealType>())), 0); // x = + infinity, c cdf = 0
+   BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(), -boost::math::tools::max_value<RealType>())), 1); // x = - infinity, c cdf = 1
+   BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), +boost::math::tools::max_value<RealType>()), 0); // x = + infinity, pdf = 0
+   BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(), -boost::math::tools::max_value<RealType>()), 0); // x = - infinity, pdf = 0
+
+   //
+   // Things that are errors:
+   // 1. Domain errors for scale and location.
+   // 2. x being NAN.
+   // 3. Probabilities being outside (0,1).
+   check_out_of_range<logistic_distribution<RealType> >(0, 1);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(0, 1), inf), 0);
+      BOOST_CHECK_EQUAL(pdf(logistic_distribution<RealType>(0, 1), -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(0, 1), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(logistic_distribution<RealType>(0, 1), -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(0, 1), inf)), 0);
+      BOOST_CHECK_EQUAL(cdf(complement(logistic_distribution<RealType>(0, 1), -inf)), 1);
+   }
+
+   // location/scale can't be infinity.
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType> dist(std::numeric_limits<RealType>::infinity(), 0.5),
+         std::domain_error);
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType> dist(0.5, std::numeric_limits<RealType>::infinity()),
+         std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType>(std::numeric_limits<RealType>::infinity(), 0.5),
+         std::domain_error);
+      BOOST_MATH_CHECK_THROW(
+         logistic_distribution<RealType>(0.5, std::numeric_limits<RealType>::infinity()),
+         std::domain_error);
+#endif
+   }
+   // scale can't be negative or 0.
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType> dist(0.5, -0.5),
+      std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType> dist(0.5, 0),
+      std::domain_error);
+#else
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType>(0.5, -0.5),
+      std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+      logistic_distribution<RealType>(0.5, 0),
+      std::domain_error);
+#endif
+
+   logistic_distribution<RealType> dist(0.5, 0.5);
+   // x can't be NaN, p can't be NaN.
+
+   if (std::numeric_limits<RealType>::has_quiet_NaN)
+   {
+      // No longer allow x to be NaN, then these tests should throw.
+      BOOST_MATH_CHECK_THROW(pdf(dist, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(dist, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+      BOOST_MATH_CHECK_THROW(cdf(complement(dist, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+      BOOST_MATH_CHECK_THROW(quantile(dist, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+      BOOST_MATH_CHECK_THROW(quantile(complement(dist, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+   }
+   if (std::numeric_limits<RealType>::has_infinity)
+   {
+  // Added test for Trac https://svn.boost.org/trac/boost/ticket/9126#comment:1
+     logistic_distribution<RealType> dist(0., 0.5);
+     BOOST_CHECK_EQUAL(pdf(dist, +std::numeric_limits<RealType>::infinity()), static_cast<RealType>(0) ); // x = infinity
+
+   }
+
+
+   // p can't be outside (0,1).
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(1.1)), std::domain_error); 
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(-0.1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(1)), std::overflow_error); 
+   BOOST_MATH_CHECK_THROW(quantile(dist, static_cast<RealType>(0)), std::overflow_error);
+
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(1.1))), std::domain_error); 
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(-0.1))), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(1))), std::overflow_error); 
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, static_cast<RealType>(0))), std::overflow_error); 
+
+   // Tests for mean,mode,median,variance,skewness,kurtosis.
+   //mean
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(2),              // probability
+      tolerance); // %
+   //median
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(2),              // probability
+      tolerance);
+   //mode
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(2),              // probability
+      tolerance);
+   //variance
+   BOOST_CHECK_CLOSE(
+      ::boost::math::variance(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(3.28986813369645287294483033329205L),  // probability
+      tolerance);
+   //skewness
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(0),              // probability
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(
+      logistic_distribution<RealType>(2,1)      
+      ),//x
+      static_cast<RealType>(1.2L),              // probability
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::entropy(
+      logistic_distribution<RealType>(2,1)
+      ),
+      static_cast<RealType>(2),
+      tolerance);
+
+} // template <class RealType>void test_spots(RealType)
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate logistic distribution using the two convenience methods:
+   boost::math::logistic mycexp1(1.); // Using typedef
+   logistic_distribution<> myexp2(1.); // Using default RealType double.
+
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_lognormal.cpp b/src/boost/libs/math/test/test_lognormal.cpp
new file mode 100644
index 000000000..22c238f96
--- /dev/null
+++ b/src/boost/libs/math/test/test_lognormal.cpp
@@ -0,0 +1,319 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_lognormal.cpp
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/lognormal.hpp>
+    using boost::math::lognormal_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+#include <cassert>
+
+template <class RealType>
+void check_lognormal(RealType loc, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         lognormal_distribution<RealType>(loc, scale),       // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            lognormal_distribution<RealType>(loc, scale),    // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         lognormal_distribution<RealType>(loc, scale),       // distribution.
+         p),                                            // probability.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            lognormal_distribution<RealType>(loc, scale),    // distribution.
+            q)),                                        // probability complement.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+ 
+   // Basic sanity checks.
+   RealType tolerance = 5e-3 * 100;
+   // Some tests only pass at 1e-4 because values generated by
+   // http://faculty.vassar.edu/lowry/VassarStats.html
+   // give only 5 or 6 *fixed* places, so small values have fewer digits.
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   using std::exp;
+
+   //
+   // These test values were generated for the normal distribution
+   // using the online calculator at http://faculty.vassar.edu/lowry/VassarStats.html
+   // and then exponentiating the random variate x.
+   //
+
+   check_lognormal(
+      static_cast<RealType>(0),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(0.5),   // p
+      static_cast<RealType>(0.5),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(1.8)),     // x
+      static_cast<RealType>(0.46017),   // p
+      static_cast<RealType>(1-0.46017),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(2.2)),     // x
+      static_cast<RealType>(1-0.46017),   // p
+      static_cast<RealType>(0.46017),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(-1.4)),     // x
+      static_cast<RealType>(0.04457),   // p
+      static_cast<RealType>(1-0.04457),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(2),     // location
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(exp(5.4)),     // x
+      static_cast<RealType>(1-0.04457),   // p
+      static_cast<RealType>(0.04457),   // q
+      tolerance);
+
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(-5.0)),     // x
+      static_cast<RealType>(0.34458),   // p
+      static_cast<RealType>(1-0.34458),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(-1.0)),     // x
+      static_cast<RealType>(1-0.34458),   // p
+      static_cast<RealType>(0.34458),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(-9.0)),     // x
+      static_cast<RealType>(0.11507),   // p
+      static_cast<RealType>(1-0.11507),   // q
+      tolerance);
+   check_lognormal(
+      static_cast<RealType>(-3),     // location
+      static_cast<RealType>(5),     // scale
+      static_cast<RealType>(exp(3.0)),     // x
+      static_cast<RealType>(1-0.11507),   // p
+      static_cast<RealType>(0.11507),   // q
+      tolerance);
+
+   //
+   // Tests for PDF
+   //
+   tolerance = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+   BOOST_CHECK_CLOSE(
+      pdf(lognormal_distribution<RealType>(), static_cast<RealType>(1)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi)
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(lognormal_distribution<RealType>(3), exp(static_cast<RealType>(3))),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L) / exp(static_cast<RealType>(3)),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(lognormal_distribution<RealType>(3, 5), exp(static_cast<RealType>(3))),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / (5 * exp(static_cast<RealType>(3)))),
+      tolerance);
+   //
+   // Spot checks for location = -5, scale = 6,
+   // use relation to normal to test:
+   //
+   for(RealType x = -15; x < 5; x += 0.125)
+   {
+      BOOST_CHECK_CLOSE(
+         pdf(lognormal_distribution<RealType>(-5, 6), exp(x)),
+         pdf(boost::math::normal_distribution<RealType>(-5, 6), x) / exp(x),
+         tolerance);
+   }
+
+   //
+   // These test values were obtained by punching numbers into
+   // a calculator, using the formulas at http://mathworld.wolfram.com/LogNormalDistribution.html
+   //
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(boost::math::tools::epsilon<double>())) * 5 * 100; // 5 eps as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+   lognormal_distribution<RealType> dist(8, 3);
+   RealType x = static_cast<RealType>(0.125);
+
+   BOOST_MATH_STD_USING // ADL of std math lib names.
+
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , static_cast<RealType>(268337.28652087445695647967378715L), tolerance);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , static_cast<RealType>(583389737628117.49553037857325892L), tolerance);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+    standard_deviation(dist)
+    , static_cast<RealType>(24153462.228594009489719473727471L), tolerance);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+    hazard(dist, x)
+    , pdf(dist, x) / cdf(complement(dist, x)), tolerance);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+    chf(dist, x)
+    , -log(cdf(complement(dist, x))), tolerance);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+    coefficient_of_variation(dist)
+    , standard_deviation(dist) / mean(dist), tolerance);
+   // mode:
+   BOOST_CHECK_CLOSE(
+    mode(dist)
+    , static_cast<RealType>(0.36787944117144232159552377016146L), tolerance);
+
+   BOOST_CHECK_CLOSE(
+    median(dist)
+    , static_cast<RealType>(exp(dist.location())), tolerance);
+
+   BOOST_CHECK_CLOSE(
+    median(dist),
+    quantile(dist, static_cast<RealType>(0.5)), tolerance);
+
+   // skewness:
+   BOOST_CHECK_CLOSE(
+    skewness(dist)
+    , static_cast<RealType>(729551.38304660255658441529235697L), tolerance);
+   // kurtosis:
+   BOOST_CHECK_CLOSE(
+    kurtosis(dist)
+    , static_cast<RealType>(4312295840576303.2363383232038251L), tolerance);
+   // kurtosis excess:
+   BOOST_CHECK_CLOSE(
+    kurtosis_excess(dist)
+    , static_cast<RealType>(4312295840576300.2363383232038251L), tolerance);
+
+   RealType expected_entropy = 8 + log(boost::math::constants::two_pi<RealType>()*boost::math::constants::e<RealType>()*9)/2;
+   BOOST_CHECK_CLOSE(
+    entropy(dist)
+    , expected_entropy, tolerance);
+
+   BOOST_CHECK_CLOSE(
+    range(dist).first
+    , static_cast<RealType>(0), tolerance);
+
+   //
+   // Special cases:
+   //
+   BOOST_CHECK(pdf(dist, 0) == 0);
+   BOOST_CHECK(cdf(dist, 0) == 0);
+   BOOST_CHECK(cdf(complement(dist, 0)) == 1);
+   BOOST_CHECK(quantile(dist, 0) == 0);
+   BOOST_CHECK(quantile(complement(dist, 1)) == 0);
+
+   //
+   // Error checks:
+   //
+   BOOST_MATH_CHECK_THROW(lognormal_distribution<RealType>(0, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(lognormal_distribution<RealType>(2, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, 1), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, 0)), std::overflow_error);
+   check_out_of_range<lognormal_distribution<RealType> >(1, 2);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+   // Check that can generate lognormal distribution using the two convenience methods:
+   boost::math::lognormal myf1(1., 2); // Using typedef
+   lognormal_distribution<> myf2(1., 2); // Using default RealType double.
+
+  // Test range and support using double only,
+  // because it supports numeric_limits max for a pseudo-infinity.
+  BOOST_CHECK_EQUAL(range(myf2).first, 0); // range 0 to +infinity
+  BOOST_CHECK_EQUAL(range(myf2).second, (std::numeric_limits<double>::max)());
+  BOOST_CHECK_EQUAL(support(myf2).first, 0); // support 0 to + infinity.
+  BOOST_CHECK_EQUAL(support(myf2).second, (std::numeric_limits<double>::max)());
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+Running 1 test case...
+Tolerance for type float is 0.5 %
+Tolerance for type float is 5.96046e-005 %
+Tolerance for type float is 5.96046e-005 %
+Tolerance for type double is 0.5 %
+Tolerance for type double is 1.11022e-013 %
+Tolerance for type double is 1.11022e-013 %
+Tolerance for type long double is 0.5 %
+Tolerance for type long double is 1.11022e-013 %
+Tolerance for type long double is 1.11022e-013 %
+Tolerance for type class boost::math::concepts::real_concept is 0.5 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 %
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 %
+*** No errors detected
+*/
+
+
diff --git a/src/boost/libs/math/test/test_long_double_support.cpp b/src/boost/libs/math/test/test_long_double_support.cpp
new file mode 100644
index 000000000..2175b8e3b
--- /dev/null
+++ b/src/boost/libs/math/test/test_long_double_support.cpp
@@ -0,0 +1,364 @@
+// Copyright John Maddock 2009
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <cmath>
+#include <math.h>
+#include <limits.h>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/tools/config.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+   largest_type = "(long\\s+)?double";
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 50, 20);                 // test function
+}
+
+template <class R, class Proc, class Arg>
+struct simple_binder
+{
+   simple_binder(Proc p, Arg a) : m_proc(p), m_arg(a) {}
+   R operator()(R arg) { return m_proc(arg, m_arg); }
+   operator bool() { return m_proc ? true : false; }
+private:
+   Proc m_proc;
+   Arg m_arg;
+};
+
+template <class A, class Proc>
+void do_test_std_function(const A& data, const char* type_name, const char* function_name, const char* test_name, Proc proc, const char* inv_function_name = 0, Proc inv_proc = 0)
+{
+   // warning suppression:
+   (void)data;
+   (void)type_name;
+   (void)test_name;
+   typedef typename A::value_type row_type;
+   typedef typename row_type::value_type value_type;
+
+   boost::math::tools::test_result<value_type> result;
+
+   //
+   // test against data:
+   //
+   result = boost::math::tools::test(
+      data,
+      bind_func<value_type>(proc, 0),
+      extract_result<value_type>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, function_name, test_name);
+   if(inv_proc)
+   {
+      result = boost::math::tools::test(
+         data,
+         bind_func<value_type>(inv_proc, 1),
+         extract_result<value_type>(0));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, inv_function_name, test_name);
+   }
+}
+
+template <class A>
+void do_test_std_function_2(const A& data, const char* type_name, const char* function_name, const char* test_name, long double(*proc)(long double, long double), const char* inv_function_name = 0, long double(*inv_proc)(long double, long double) = 0)
+{
+   // warning suppression:
+   (void)data;
+   (void)type_name;
+   (void)test_name;
+   typedef typename A::value_type row_type;
+   typedef typename row_type::value_type value_type;
+
+   boost::math::tools::test_result<value_type> result;
+
+   //
+   // test against data:
+   //
+   result = boost::math::tools::test(
+      data,
+      bind_func<value_type>(proc, 0, 1),
+      extract_result<value_type>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, function_name, test_name);
+   if(inv_proc)
+   {
+      result = boost::math::tools::test(
+         data,
+         bind_func<value_type>(inv_proc, 2, 1),
+         extract_result<value_type>(0));
+      handle_test_result(result, data[result.worst()], result.worst(), type_name, inv_function_name, test_name);
+   }
+}
+
+long double std_inv_pow(long double a, long double b)
+{
+   return std::pow(a, 1 / b);
+}
+long double std_inv_powl(long double a, long double b)
+{
+   return ::powl(a, 1 / b);
+}
+
+
+void test_spots()
+{
+   // Basic sanity checks.
+   // Test data taken from functions.wolfram.com
+   long double (*unary_proc)(long double);
+   long double (*inv_unary_proc)(long double);
+   long double(*binary_proc)(long double, long double);
+   long double(*inv_binary_proc)(long double, long double);
+   //
+   // COS:
+   //
+   boost::array<boost::array<long double, 2>, 4> cos_test_data = {{
+      {{ 0, 1, }},
+      {{ 0.125L, 0.992197667229329053149096907788250869543327304736601263468910L, }},
+      {{ 1.125L, 0.431176516798666176551969042921689826840697850225767471037314L, }},
+      {{ 1.75L, -0.178246055649492090382676943942631358969920851291548272886063L, }},
+   }};
+   unary_proc = std::cos;
+   inv_unary_proc = std::acos;
+   do_test_std_function(cos_test_data, "long double", "std::cos", "Mathematica data", unary_proc, "std::acos", inv_unary_proc);
+   unary_proc = ::cosl;
+   inv_unary_proc = ::acosl;
+   do_test_std_function(cos_test_data, "long double", "::cosl", "Mathematica data", unary_proc, "::acosl", inv_unary_proc);
+   //
+   // SIN:
+   //
+   boost::array<boost::array<long double, 2>, 6> sin_test_data = {{
+      {{ 0, 0, }},
+      {{ 0.125L, 0.124674733385227689957442708712108467587834905641679257885515L, }},
+      {{ -0.125L, -0.124674733385227689957442708712108467587834905641679257885515L, }},
+      {{ 1.125L, 0.902267594099095162918416128654829100758989018716070814389152L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1e-500L, 1e-500L, }},
+      {{ 1e-1500L, 1e-1500L, }},
+#else
+      {{ 0, 0, }},
+      {{ 0, 0, }},
+#endif
+   }};
+   unary_proc = std::sin;
+   inv_unary_proc = std::asin;
+   do_test_std_function(sin_test_data, "long double", "std::sin", "Mathematica data", unary_proc, "std::asin", inv_unary_proc);
+   unary_proc = ::sinl;
+   inv_unary_proc = ::asinl;
+   do_test_std_function(sin_test_data, "long double", "::sinl", "Mathematica data", unary_proc, "::asinl", inv_unary_proc);
+   //
+   // TAN:
+   //
+   boost::array<boost::array<long double, 2>, 6> tan_test_data = {{
+      {{ 0, 0, }},
+      {{ 0.125L, 0.125655136575130967792678218629774000758665763892225542668867L, }},
+      {{ -0.125L, -0.125655136575130967792678218629774000758665763892225542668867L, }},
+      {{ 1.125L, 2.09257127637217900442373398123488678225994171614872057291399L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1e-500L, 1e-500L, }},
+      {{ 1e-1500L, 1e-1500L, }},
+#else
+      {{ 0, 0, }},
+      {{ 0, 0, }},
+#endif
+   }};
+   unary_proc = std::tan;
+   inv_unary_proc = std::atan;
+   do_test_std_function(tan_test_data, "long double", "std::tan", "Mathematica data", unary_proc, "std::atan", inv_unary_proc);
+   unary_proc = ::tanl;
+   inv_unary_proc = ::atanl;
+   do_test_std_function(tan_test_data, "long double", "::tanl", "Mathematica data", unary_proc, "::atanl", inv_unary_proc);
+   //
+   // EXP:
+   //
+   boost::array<boost::array<long double, 2>, 16> exp_test_data = {{
+      {{ 0, 1, }},
+      {{ 0.125L, 1.13314845306682631682900722781179387256550313174518162591282L, }},
+      {{ -0.125L, 0.882496902584595402864892143229050736222004824990650741770309L, }},
+      {{ 1.125L, 3.08021684891803124500466787877703957705899375982613074033239L, }},
+      {{ 4.60517018598809136803598290936872841520220297725754595206666L, 100L, }},
+      {{ 23.0258509299404568401799145468436420760110148862877297603333L, 1e10L, }},
+      {{ 230.258509299404568401799145468436420760110148862877297603333L, 1e100L, }},
+      {{ -230.258509299404568401799145468436420760110148862877297603333L, 1e-100L, }},
+      {{ -23.0258509299404568401799145468436420760110148862877297603333L, 1e-10L, }},
+      {{ -4.60517018598809136803598290936872841520220297725754595206666L, 0.01L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1151.5L, 1.23054049904018215810329849694e+500L, }},
+      {{ 2302.5, 9.1842687219959504902800771504e+999L, }},
+      {{ 11351.5, 7.83089362896060182981072520459e+4929L, }},
+      {{ -11351.5, 1.27699346636729947157842192471e-4930L, }},
+      {{ -2302.5, 1.0888183156107362404277325218e-1000L, }},
+      {{ -1151.5, 8.12651026747999724274336150307e-501L, }},
+#else
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+      {{ 0, 1, }},
+#endif
+   }};
+   unary_proc = std::exp;
+   inv_unary_proc = std::log;
+   do_test_std_function(exp_test_data, "long double", "std::exp", "Mathematica data", unary_proc, "std::log", inv_unary_proc);
+   unary_proc = ::expl;
+   inv_unary_proc = ::logl;
+   do_test_std_function(exp_test_data, "long double", "::expl", "Mathematica data", unary_proc, "::logl", inv_unary_proc);
+   //
+   // SQRT:
+   //
+   boost::array<boost::array<long double, 2>, 8> sqrt_test_data = {{
+      {{ 1, 1, }},
+      {{ 0.125L, 0.353553390593273762200422181052424519642417968844237018294170L, }},
+      {{ 1.125L, 1.06066017177982128660126654315727355892725390653271105488251L, }},
+      {{ 1e10L, 1e5L, }},
+      {{ 1e100L, 1e50L, }},
+#if LDBL_MAX_EXP > DBL_MAX_EXP
+      {{ 1e500L, 1e250L, }},
+      {{ 1e1000L, 1e500L, }},
+      {{ 1e4930L, 1e2465L }},
+#else
+      {{ 1, 1, }},
+      {{ 1, 1, }},
+      {{ 1, 1, }},
+#endif
+   }};
+   unary_proc = std::sqrt;
+   inv_unary_proc = 0;
+   do_test_std_function(sqrt_test_data, "long double", "std::sqrt", "Mathematica data", unary_proc, "", inv_unary_proc);
+   unary_proc = ::sqrtl;
+   do_test_std_function(sqrt_test_data, "long double", "::sqrtl", "Mathematica data", unary_proc, "", inv_unary_proc);
+   //
+   // POW:
+   //
+   boost::array<boost::array<long double, 3>, 40> pow_test_data = { {
+      {{ 0.66666666666666666666666666666666667L, 10.5L, 0.014159299884333205600738476477156445L }}, {{ 0.40000000000000000000000000000000000L, 10.5L, 0.000066317769195774370528601435944941645L }}, {{ 0.28571428571428571428571428571428571L, 10.5L, 1.9376955162420093656912416026996235e-6L }}, {{ 0.22222222222222222222222222222222222L, 10.5L, 1.3844223610486906136767179806965939e-7L }}, {{ 0.18181818181818181818181818181818182L, 10.5L, 1.6834172004858801495594195366987548e-8L }}, {{ 0.15384615384615384615384615384615385L, 10.5L, 2.9134646649328940997378075111892189e-9L }}, {{ 0.13333333333333333333333333333333333L, 10.5L, 6.4842049648996264411393424327833257e-10L }}, {{ 0.11764705882352941176470588235294118L, 10.5L, 1.7422131202561313794251961087695707e-10L }}, {{ 0.10526315789473684210526315789473684L, 10.5L, 5.4187878014379968862785381990028068e-11L }}, {{ 0.095238095238095238095238095238095238L, 10.5L, 1.8945774321493250860060262734435905e-11L }}, {{ 0.086956521739130434782608695652173913L, 10.5L, 7.2890793204362496660639940633060965e-12L }}, {{ 0.080000000000000000000000000000000000L, 10.5L, 3.0370004999760496924513885300263083e-12L }}, {{ 0.074074074074074074074074074074074074L, 10.5L, 1.3536158492499429228631254734846878e-12L }}, {{ 0.068965517241379310344827586206896552L, 10.5L, 6.3919883760311690617057708564070401e-13L }}, {{ 0.064516129032258064516129032258064516L, 10.5L, 3.1733441149827305559623332316304054e-13L }}, {{ 0.060606060606060606060606060606060606L, 10.5L, 1.6459573809191842515197160159747426e-13L }}, {{ 0.057142857142857142857142857142857143L, 10.5L, 8.8736130949400182344750668262188042e-14L }}, {{ 0.054054054054054054054054054054054054L, 10.5L, 4.9510447505703867036532738058014010e-14L }}, {{ 0.051282051282051282051282051282051282L, 10.5L, 2.8486335222839832002073312496999392e-14L }}, {{ 0.048780487804878048780487804878048780L, 10.5L, 1.6849400716758403447644197639952420e-14L }},
+      {{ 1.5000000000000000000000000000000000L, 10.5L, 70.624960850392521250220423499662198L }}, {{ 2.5000000000000000000000000000000000L, 10.5L, 15078.914929239174518579929086841195L }}, {{ 3.5000000000000000000000000000000000L, 10.5L, 516076.95410237226543172579761452715L }}, {{ 4.5000000000000000000000000000000000L, 10.5L, 7.2232291830544165404082939248515132e6L }}, {{ 5.5000000000000000000000000000000000L, 10.5L, 5.9402981014532387277725120300837238e7L }}, {{ 6.5000000000000000000000000000000000L, 10.5L, 3.4323395510377093368928553895198363e8L }}, {{ 7.5000000000000000000000000000000000L, 10.5L, 1.5422091149388577381859115936567576e9L }}, {{ 8.5000000000000000000000000000000000L, 10.5L, 5.7398259051853831024096483301864439e9L }}, {{ 9.5000000000000000000000000000000000L, 10.5L, 1.8454311861679240697429074147628415e10L }}, {{ 10.500000000000000000000000000000000L, 10.5L, 5.2782218505872232242456985697751839e10L }}, {{ 11.500000000000000000000000000000000L, 10.5L, 1.3719153764678064136017469971586606e11L }}, {{ 12.500000000000000000000000000000000L, 10.5L, 3.2927225399135962333569506281281311e11L }}, {{ 13.500000000000000000000000000000000L, 10.5L, 7.3876203544315301346698877141070794e11L }}, {{ 14.500000000000000000000000000000000L, 10.5L, 1.5644584144580486482323422555543492e12L }}, {{ 15.500000000000000000000000000000000L, 10.5L, 3.1512497975828317415327223169183800e12L }}, {{ 16.500000000000000000000000000000000L, 10.5L, 6.0754914531356236794145301221027031e12L }}, {{ 17.500000000000000000000000000000000L, 10.5L, 1.1269366708925227994916228749680770e13L }}, {{ 18.500000000000000000000000000000000L, 10.5L, 2.0197757248806823614685377151546893e13L }}, {{ 19.500000000000000000000000000000000L, 10.5L, 3.5104550732037231618759085175272827e13L }}, {{ 20.500000000000000000000000000000000L, 10.5L, 5.9349291812224551314681152356459565e13L }},
+   } };
+   binary_proc = std::pow;
+   inv_binary_proc = std_inv_pow;
+   do_test_std_function_2(pow_test_data, "long double", "std::pow", "Mathematica data", binary_proc, "std::pow", inv_binary_proc);
+   binary_proc = ::powl;
+   inv_binary_proc = std_inv_powl;
+   do_test_std_function_2(pow_test_data, "long double", "::powl", "Mathematica data", binary_proc, "::pow", inv_binary_proc);
+   //
+   // LDEXP:
+   //
+   boost::array<boost::array<long double, 2>, 20> ld_data = { {
+      {{ 0.66666666666666666666666666666666667L, 8.4510040015215293433113547025066667e29L }}, {{ 0.40000000000000000000000000000000000L, 5.0706024009129176059868128215040000e29L }}, {{ 0.28571428571428571428571428571428571L, 3.6218588577949411471334377296457143e29L }}, {{ 0.22222222222222222222222222222222222L, 2.8170013338405097811037849008355556e29L }}, {{ 0.18181818181818181818181818181818182L, 2.3048192731422352754485512825018182e29L }}, {{ 0.15384615384615384615384615384615385L, 1.9502316926588144638410818544246154e29L }}, {{ 0.13333333333333333333333333333333333L, 1.6902008003043058686622709405013333e29L }}, {{ 0.11764705882352941176470588235294118L, 1.4913536473273287076431802416188235e29L }}, {{ 0.10526315789473684210526315789473684L, 1.3343690528718204226281086372378947e29L }}, {{ 0.095238095238095238095238095238095238L, 1.2072862859316470490444792432152381e29L }}, {{ 0.086956521739130434782608695652173913L, 1.1023048697636777404319158307617391e29L }}, {{ 0.080000000000000000000000000000000000L, 1.0141204801825835211973625643008000e29L }}, {{ 0.074074074074074074074074074074074074L, 9.3900044461350326036792830027851852e28L }}, {{ 0.068965517241379310344827586206896552L, 8.7424179326084786310117462439724138e28L }}, {{ 0.064516129032258064516129032258064516L, 8.1783909692143832354626013250064516e28L }}, {{ 0.060606060606060606060606060606060606L, 7.6827309104741175848285042750060606e28L }}, {{ 0.057142857142857142857142857142857143L, 7.2437177155898822942668754592914286e28L }}, {{ 0.054054054054054054054054054054054054L, 6.8521654066390778459281254344648649e28L }}, {{ 0.051282051282051282051282051282051282L, 6.5007723088627148794702728480820513e28L }}, {{ 0.048780487804878048780487804878048780L, 6.1836614645279482999839180750048780e28L }}
+   }};
+   using namespace boost;
+   long double(*pld)(long double, int) = std::ldexp;
+   do_test_std_function(ld_data, "long double", "std::ldexp", "Mathematica data", simple_binder<long double, long double(*)(long double, int), int>(pld, 100), "std::ldexp", simple_binder<long double, long double(*)(long double, int), int>(pld, -100));
+   pld = ::ldexpl;
+   do_test_std_function(ld_data, "long double", "::ldexp", "Mathematica data", simple_binder<long double, long double(*)(long double, int), int>(pld, 100), "::ldexp", simple_binder<long double, long double(*)(long double, int), int>(pld, -100));
+   //
+   // Sinh:
+   //
+   boost::array<boost::array<long double, 2>, 20> sinh_data = { {
+      {{ 1.0L, 1.1752011936438014568823818505956008L }}, {{ 2.0L, 3.6268604078470187676682139828012617L }}, {{ 3.0L, 10.017874927409901898974593619465828L }}, {{ 4.0L, 27.289917197127752448908271590793819L }}, {{ 5.0L, 74.203210577788758977009471996064566L }}, {{ 6.0L, 201.71315737027922812498206768797873L }}, {{ 7.0L, 548.31612327324652237375611757601851L }}, {{ 8.0L, 1490.4788257895501861158766390318814L }}, {{ 9.0L, 4051.5419020827899605152235958980346L }}, {{ 10.L, 11013.232874703393377236524554846364L }}, {{ 11.L, 29937.070849248058832540413239811132L }}, {{ 12.L, 81377.395706429854227338497569902237L }}, {{ 13.L, 221206.69600333008695956086081165150L }}, {{ 14.L, 601302.14208197262451506660144189773L }}, {{ 15.L, 1.6345086862359023684906766101516749e6L }}, {{ 16.L, 4.4430552602538800507941522408334683e6L }}, {{ 17.L, 1.2077476376787628407699123664359614e7L }}, {{ 18.L, 3.2829984568665247954403379273215799e7L }}, {{ 19.L, 8.9241150481593627621056798125727582e7L }}, {{ 20.L, 2.4258259770489513795397660405149137e8L }},
+   } };
+   unary_proc = &std::sinh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::asinh;
+#else
+   inv_unary_proc = 0;
+#endif
+   do_test_std_function(sinh_data, "long double", "std::sinh", "Mathematica data", unary_proc, "std::asinh", inv_unary_proc);
+   unary_proc = ::sinhl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::asinhl;
+#endif
+   do_test_std_function(sinh_data, "long double", "::sinhl", "Mathematica data", unary_proc, "::asinhl", inv_unary_proc);
+   //
+   // Cosh:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> cosh_data = { {
+      {{ 1.0L, 1.5430806348152437784779056207570617L }}, {{ 2.0L, 3.7621956910836314595622134777737461L }}, {{ 3.0L, 10.067661995777765841953936035115890L }}, {{ 4.0L, 27.308232836016486629201989612067060L }}, {{ 5.0L, 74.209948524787844444106108044487714L }}, {{ 6.0L, 201.71563612245589448340511285540955L }}, {{ 7.0L, 548.31703515521207688996412071210292L }}, {{ 8.0L, 1490.4791612521780886277154604210072L }}, {{ 9.0L, 4051.5420254925940471947730935347253L }}, {{ 10.L, 11013.232920103323139721376090437880L }}, {{ 11.L, 29937.070865949759622786072552446649L }}, {{ 12.L, 81377.395712574066580666707328584546L }}, {{ 13.L, 221206.69600559041636654191513743678L }}, {{ 14.L, 601302.14208280415323417016932596172L }}, {{ 15.L, 1.6345086862362082708111784359400464e6L }}, {{ 16.L, 4.4430552602539925859688714999479821e6L }}, {{ 17.L, 1.2077476376787669807076311516026210e7L }}, {{ 18.L, 3.2829984568665263184383123985844235e7L }}, {{ 19.L, 8.9241150481593633223853235662995122e7L }}, {{ 20.L, 2.4258259770489514001513022649004919e8L }},
+   } };
+   unary_proc = &std::cosh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::acosh;
+#endif
+   do_test_std_function(cosh_data, "long double", "std::cosh", "Mathematica data", unary_proc, "std::acosh", inv_unary_proc);
+   unary_proc = ::coshl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::acoshl;
+#endif
+   do_test_std_function(cosh_data, "long double", "::cosh", "Mathematica data", unary_proc, "::acosh", inv_unary_proc);
+   //
+   // Tanh:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> tanh_data = { {
+      {{ 2.0000000000000000000000000000000000L, 0.96402758007581688394641372410092315L }}, {{ 1.0000000000000000000000000000000000L, 0.76159415595576488811945828260479359L }}, {{ 0.66666666666666666666666666666666667L, 0.58278294534791012006763998724863620L }}, {{ 0.50000000000000000000000000000000000L, 0.46211715726000975850231848364367255L }}, {{ 0.40000000000000000000000000000000000L, 0.37994896225522488526774812389687331L }}, {{ 0.33333333333333333333333333333333333L, 0.32151273753163434471940622242520647L }}, {{ 0.28571428571428571428571428571428571L, 0.27818549032570244047180008724146611L }}, {{ 0.25000000000000000000000000000000000L, 0.24491866240370912927780113149101696L }}, {{ 0.22222222222222222222222222222222222L, 0.21863508368712133408473136585229335L }}, {{ 0.20000000000000000000000000000000000L, 0.19737532022490400073815731881101567L }}, {{ 0.18181818181818181818181818181818182L, 0.17984081852510791219962261245781186L }}, {{ 0.16666666666666666666666666666666667L, 0.16514041292462935373278922792245912L }}, {{ 0.15384615384615384615384615384615385L, 0.15264375981490485028417961210708858L }}, {{ 0.14285714285714285714285714285714286L, 0.14189319376693254602300070386766884L }}, {{ 0.13333333333333333333333333333333333L, 0.13254878839087838732054090217452509L }}, {{ 0.12500000000000000000000000000000000L, 0.12435300177159620805464727580589271L }}, {{ 0.11764705882352941176470588235294118L, 0.11710726941545656349019174731833940L }}, {{ 0.11111111111111111111111111111111111L, 0.11065611052473799138171921474515056L }}, {{ 0.10526315789473684210526315789473684L, 0.10487608974842188468874887218357955L }}, {{ 0.10000000000000000000000000000000000L, 0.099667994624955817118305083678352184L }}
+   } };
+   unary_proc = &std::tanh;
+#if __cplusplus >= 201103
+   inv_unary_proc = &std::atanh;
+#endif
+   do_test_std_function(tanh_data, "long double", "std::tanh", "Mathematica data", unary_proc, "std::atanh", inv_unary_proc);
+   unary_proc = ::tanhl;
+#if __cplusplus >= 201103
+   inv_unary_proc = ::atanhl;
+#endif
+   do_test_std_function(tanh_data, "long double", "::tanh", "Mathematica data", unary_proc, "::atanh", inv_unary_proc);
+   //
+   // ABS, FABS:
+   //
+   boost::array<boost::array<long double, 2L>, 20L> abs_data = { {
+      {{ -2.0000000000000000000000000000000000L, 2.0000000000000000000000000000000000L }}, {{ -1.0000000000000000000000000000000000L, 1.0000000000000000000000000000000000L }}, {{ -0.66666666666666666666666666666666667L, 0.66666666666666666666666666666666667L }}, {{ -0.50000000000000000000000000000000000L, 0.50000000000000000000000000000000000L }}, {{ -0.40000000000000000000000000000000000L, 0.40000000000000000000000000000000000L }}, {{ -0.33333333333333333333333333333333333L, 0.33333333333333333333333333333333333L }}, {{ -0.28571428571428571428571428571428571L, 0.28571428571428571428571428571428571L }}, {{ -0.25000000000000000000000000000000000L, 0.25000000000000000000000000000000000L }}, {{ -0.22222222222222222222222222222222222L, 0.22222222222222222222222222222222222L }}, {{ -0.20000000000000000000000000000000000L, 0.20000000000000000000000000000000000L }}, {{ -0.18181818181818181818181818181818182L, 0.18181818181818181818181818181818182L }}, {{ -0.16666666666666666666666666666666667L, 0.16666666666666666666666666666666667L }}, {{ -0.15384615384615384615384615384615385L, 0.15384615384615384615384615384615385L }}, {{ -0.14285714285714285714285714285714286L, 0.14285714285714285714285714285714286L }}, {{ -0.13333333333333333333333333333333333L, 0.13333333333333333333333333333333333L }}, {{ -0.12500000000000000000000000000000000L, 0.12500000000000000000000000000000000L }}, {{ -0.11764705882352941176470588235294118L, 0.11764705882352941176470588235294118L }}, {{ -0.11111111111111111111111111111111111L, 0.11111111111111111111111111111111111L }}, {{ -0.10526315789473684210526315789473684L, 0.10526315789473684210526315789473684L }}, {{ -0.10000000000000000000000000000000000L, 0.10000000000000000000000000000000000L }}
+   } };
+   unary_proc = &std::abs;
+   inv_unary_proc = 0;
+   do_test_std_function(abs_data, "long double", "std::abs", "Mathematica data", unary_proc, "std::abs", inv_unary_proc);
+   unary_proc = &std::fabs;
+   inv_unary_proc = 0;
+   do_test_std_function(abs_data, "long double", "std::fabs", "Mathematica data", unary_proc, "std::abs", inv_unary_proc);
+   unary_proc = ::fabsl;
+   do_test_std_function(abs_data, "long double", "::fabs", "Mathematica data", unary_proc, "::abs", inv_unary_proc);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   std::cout << "Running tests with BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS "
+#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+      "defined."
+#else
+      "not defined."
+#endif
+      << std::endl;
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(); // Test long double.
+
+
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_math_fwd.cpp b/src/boost/libs/math/test/test_math_fwd.cpp
new file mode 100644
index 000000000..dd9bafa10
--- /dev/null
+++ b/src/boost/libs/math/test/test_math_fwd.cpp
@@ -0,0 +1,62 @@
+// test_math_fwd.cpp
+
+//  Copyright John Maddock 2010.
+//  Copyright Paul A. Bristow 2010.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity check that special functions forward declaration header
+// <boost/math/special_functions/math_fwd.hpp>
+// and distributions forward declarations header
+// <boost/math/distributions/fwd.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/special_functions/beta.hpp>
+// using boost::math::beta;
+
+#include <boost/math/distributions/fwd.hpp>
+#include <boost/math/distributions/normal.hpp>
+// using boost::math::normal_distribution;
+
+int main()
+{
+  // Special functions.
+  // Call functions, discarding any result.
+  using boost::math::beta;
+  beta(1.,2.);
+
+  // Distributions.
+  using boost::math::normal_distribution;
+  using boost::math::normal;
+
+  // Construct some distributions.
+  normal myf1(1., 2); // Using typedef.
+  normal n01; // Use default values for mean and standard deviation).
+  normal_distribution<> n01d(1., 2); // Using default RealType double.
+  normal_distribution<float> n01f; // Using float type, and defaults.
+  normal_distribution<float> myf22(0.f, 2.f); // Using explicit RealType float.
+
+  return 0;
+}
+
+/*
+
+VS2010
+
+------ Build started: Project: test_math_fwd, Configuration: Debug Win32 ------
+  test_math_fwd.cpp
+  test_math_fwd.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_math_fwd.exe
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+------ Build started: Project: test_math_fwd, Configuration: Release Win32 ------
+  test_math_fwd.cpp
+  Generating code
+  Finished generating code
+  test_math_fwd.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_math_fwd.exe
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_minima.cpp b/src/boost/libs/math/test/test_minima.cpp
new file mode 100644
index 000000000..80314b9cb
--- /dev/null
+++ b/src/boost/libs/math/test/test_minima.cpp
@@ -0,0 +1,64 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 2007.
+
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/tools/minima.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <iostream>
+#include <iomanip>
+
+template <class T>
+struct poly_test
+{
+   // minima is at (3,4):
+   T operator()(const T& v)
+   {
+      T a = v - 3;
+      return 3 * a * a + 4;
+   }
+};
+
+template <class T>
+void test_minima(T, const char* /* name */)
+{
+   std::pair<T, T> m = boost::math::tools::brent_find_minima(poly_test<T>(), T(-10), T(10), 50);
+   BOOST_CHECK_CLOSE(m.first, T(3), T(0.001));
+   BOOST_CHECK_CLOSE(m.second, T(4), T(0.001));
+
+   T (*fp)(T);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   fp = boost::math::lgamma<T>;
+#else
+   fp = boost::math::lgamma;
+#endif
+
+   m = boost::math::tools::brent_find_minima(fp, T(0.5), T(10), 50);
+   BOOST_CHECK_CLOSE(m.first, T(1.461632), T(0.1));
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   fp = boost::math::tgamma<T>;
+#else
+   fp = boost::math::tgamma;
+#endif
+   m = boost::math::tools::brent_find_minima(fp, T(0.5), T(10), 50);
+   BOOST_CHECK_CLOSE(m.first, T(1.461632), T(0.1));
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_minima(0.1f, "float");
+   test_minima(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_minima(0.1L, "long double");
+#endif
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_nc_beta.cpp b/src/boost/libs/math/test/test_nc_beta.cpp
new file mode 100644
index 000000000..81b80fa1f
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_beta.cpp
@@ -0,0 +1,300 @@
+// test_nc_beta.cpp
+
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+//
+// This must appear *before* any #includes, and precludes pch usage:
+//
+#define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_beta.hpp> // for chi_squared_distribution
+#include <boost/math/distributions/poisson.hpp> // for poisson_distribution
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "test_ncbeta_hooks.hpp"
+#include "table_type.hpp"
+#include "test_nc_beta.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::tools::digits<long double>() == 64)
+   {
+      //
+      // Allow a small amount of error leakage from long double to double:
+      //
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 5, 5);                   // test function
+   }
+
+   if(boost::math::tools::digits<long double>() == 64)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*medium[^|]*",               // test data group
+         "[^|]*", 1200, 500);               // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 40000, 6000);            // test function
+   }
+#endif
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",               // test data group
+      "[^|]*", 1500, 500);               // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "[^|]*", 30000, 4000);             // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "[^|]*", 20000, 2000);             // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class RealType>
+RealType naive_pdf(RealType a, RealType b, RealType lam, RealType x)
+{
+   using namespace boost::math;
+
+   RealType term = pdf(poisson_distribution<RealType>(lam/2), 0)
+      * ibeta_derivative(a, b, x);
+   RealType sum = term;
+
+   int i = 1;
+   while(term / sum > tools::epsilon<RealType>())
+   {
+      term = pdf(poisson_distribution<RealType>(lam/2), i)
+      * ibeta_derivative(a + i, b, x);
+      ++i;
+      sum += term;
+   }
+   return sum;
+}
+
+template <class RealType>
+void test_spot(
+     RealType a,     // alpha
+     RealType b,     // beta
+     RealType ncp,   // non-centrality param
+     RealType cs,    // Chi Square statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType D,     // PDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::non_central_beta_distribution<RealType> dist(a, b, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+   //
+   // Sanity checking using the naive PDF calculation above fails at
+   // float precision:
+   //
+   if(!boost::is_same<float, RealType>::value)
+   {
+      BOOST_CHECK_CLOSE(
+         pdf(dist, cs), naive_pdf(dist.alpha(), dist.beta(), ncp, cs), tol);
+   }
+   BOOST_CHECK_CLOSE(
+      pdf(dist, cs), D, tol);
+
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), cs, tol * 10);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), cs, tol * 10);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   RealType tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>() * 100,
+      (RealType)1e-6) * 100;
+   RealType abs_tolerance = boost::math::tools::epsilon<RealType>() * 100;
+
+   cout << "Tolerance = " << tolerance << "%." << endl;
+
+   //
+   // Spot tests use values computed by the R statistical
+   // package and the pbeta and dbeta functions:
+   //
+   test_spot(
+     RealType(2),                   // alpha
+     RealType(5),                   // beta
+     RealType(1),                   // non-centrality param
+     RealType(0.25),                // Chi Square statistic
+     RealType(0.3658349),           // CDF
+     RealType(1-0.3658349),         // Complement of CDF
+     RealType(2.184465),            // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(20),                  // alpha
+     RealType(15),                  // beta
+     RealType(35),                  // non-centrality param
+     RealType(0.75),                // Chi Square statistic
+     RealType(0.6994175),           // CDF
+     RealType(1-0.6994175),         // Complement of CDF
+     RealType(5.576146),            // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(100),                 // alpha
+     RealType(3),                   // beta
+     RealType(63),                  // non-centrality param
+     RealType(0.95),                // Chi Square statistic
+     RealType(0.03529306),          // CDF
+     RealType(1-0.03529306),        // Complement of CDF
+     RealType(3.637894),            // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(0.25),                // alpha
+     RealType(0.75),                // beta
+     RealType(150),                 // non-centrality param
+     RealType(0.975),               // Chi Square statistic
+     RealType(0.09752216),          // CDF
+     RealType(1-0.09752216),        // Complement of CDF
+     RealType(8.020935),            // PDF
+     RealType(tolerance));
+
+   BOOST_MATH_STD_USING
+   boost::math::non_central_beta_distribution<RealType> dist(100, 3, 63);
+   BOOST_CHECK_CLOSE(mean(dist), RealType(4.82280451915522329944315287538684030781836554279474240490936e13L) * exp(-RealType(31.5)) * 100 / 103, tolerance);
+   // Variance only guarantees small absolute error:
+   BOOST_CHECK_SMALL(variance(dist) 
+      - static_cast<RealType>(RealType(4.85592267707818899235900237275021938334418424134218087127572e13L)
+      * exp(RealType(-31.5)) * 100 * 101 / (103 * 104) - 
+      RealType(4.82280451915522329944315287538684030781836554279474240490936e13L) * RealType(4.82280451915522329944315287538684030781836554279474240490936e13L) 
+      * exp(RealType(-63)) * 10000 / (103 * 103)), abs_tolerance);
+   BOOST_MATH_CHECK_THROW(skewness(dist), boost::math::evaluation_error);
+   BOOST_MATH_CHECK_THROW(kurtosis(dist), boost::math::evaluation_error);
+   BOOST_MATH_CHECK_THROW(kurtosis_excess(dist), boost::math::evaluation_error);
+} // template <class RealType>void test_spots(RealType)
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+    expected_results();
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+   test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L); // Test long double.
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_accuracy(0.0F, "float"); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_accuracy(0.0, "double"); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_accuracy(0.0L, "long double"); // Test long double.
+#endif
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+#ifdef TEST_REAL_CONCEPT
+   test_accuracy(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_nc_beta.hpp b/src/boost/libs/math/test/test_nc_beta.hpp
new file mode 100644
index 000000000..3ba983adc
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_beta.hpp
@@ -0,0 +1,195 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#endif
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/distributions/non_central_beta.hpp> 
+#include <boost/math/distributions/poisson.hpp> 
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+#define BOOST_CHECK_EX(a, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+template <class T>
+T nc_beta_cdf(T a, T b, T nc, T x)
+{
+#ifdef NC_BETA_CDF_FUNCTION_TO_TEST
+   return NC_BETA_CDF_FUNCTION_TO_TEST(a, b, nc, x);
+#else
+   return cdf(boost::math::non_central_beta_distribution<T>(a, b, nc), x);
+#endif
+}
+
+template <class T>
+T nc_beta_ccdf(T a, T b, T nc, T x)
+{
+#ifdef NC_BETA_CCDF_FUNCTION_TO_TEST
+   return NC_BETA_CCDF_FUNCTION_TO_TEST(a, b, nc, x);
+#else
+   return cdf(complement(boost::math::non_central_beta_distribution<T>(a, b, nc), x));
+#endif
+}
+
+template <typename Real, typename T>
+void do_test_nc_chi_squared(T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+   value_type(*fp1)(value_type, value_type, value_type, value_type) = nc_beta_cdf;
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_BETA_CDF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2, 3),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central beta CDF", test);
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_BETA_CCDF_FUNCTION_TO_TEST))
+   fp1 = nc_beta_ccdf;
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2, 3),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central beta CDF complement", test);
+#endif
+   std::cout << std::endl;
+
+}
+
+template <typename Real, typename T>
+void quantile_sanity_check(T& data, const char* type_name, const char* test)
+{
+#ifndef ERROR_REPORTING_MODE
+   typedef Real                   value_type;
+
+   //
+   // Tests with type real_concept take rather too long to run, so
+   // for now we'll disable them:
+   //
+   if(!boost::is_floating_point<value_type>::value)
+      return;
+
+   std::cout << "Testing: " << type_name << " quantile sanity check, with tests " << test << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1 - boost::math::policies::digits<value_type, boost::math::policies::policy<> >() / 2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // Test case 493 fails at float precision: not enough bits to get
+      // us back where we started:
+      //
+      if((i == 493) && boost::is_same<float, value_type>::value)
+         continue;
+
+      if(data[i][4] == 0)
+      {
+         BOOST_CHECK(0 == quantile(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][4]));
+      }
+      else if(data[i][4] < 0.9999f)
+      {
+         value_type p = quantile(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][4]);
+         value_type pt = data[i][3];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(data[i][5] == 0)
+      {
+         BOOST_CHECK(1 == quantile(complement(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][5])));
+      }
+      else if(data[i][5] < 0.9999f)
+      {
+         value_type p = quantile(complement(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), data[i][5]));
+         value_type pt = data[i][3];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(boost::math::tools::digits<value_type>() > 50)
+      {
+         //
+         // Sanity check mode, accuracy of
+         // the mode is at *best* the square root of the accuracy of the PDF:
+         //
+         value_type m = mode(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]));
+         if((m == 1) || (m == 0))
+            break;
+         value_type p = pdf(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), m);
+         if(m * (1 + sqrt(precision) * 10) < 1)
+         {
+            BOOST_CHECK_EX(pdf(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), m * (1 + sqrt(precision) * 10)) <= p, i);
+         }
+         if(m * (1 - sqrt(precision)) * 10 > boost::math::tools::min_value<value_type>())
+         {
+            BOOST_CHECK_EX(pdf(boost::math::non_central_beta_distribution<value_type>(data[i][0], data[i][1], data[i][2]), m * (1 - sqrt(precision)) * 10) <= p, i);
+         }
+      }
+   }
+#endif
+}
+
+template <typename T>
+void test_accuracy(T, const char* type_name)
+{
+#if !defined(TEST_DATA) || (TEST_DATA == 1)
+#include "ncbeta.ipp"
+   do_test_nc_chi_squared<T>(ncbeta, type_name, "Non Central Beta, medium parameters");
+   quantile_sanity_check<T>(ncbeta, type_name, "Non Central Beta, medium parameters");
+#endif
+#if !defined(TEST_DATA) || (TEST_DATA == 2)
+#include "ncbeta_big.ipp"
+   do_test_nc_chi_squared<T>(ncbeta_big, type_name, "Non Central Beta, large parameters");
+   // Takes too long to run:
+   // quantile_sanity_check(ncbeta_big, type_name, "Non Central Beta, large parameters");
+#endif
+}
diff --git a/src/boost/libs/math/test/test_nc_chi_squared.cpp b/src/boost/libs/math/test/test_nc_chi_squared.cpp
new file mode 100644
index 000000000..cfebb2363
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_chi_squared.cpp
@@ -0,0 +1,154 @@
+// test_nc_chi_squared.cpp
+
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_chi_squared.hpp> // for chi_squared_distribution
+#include <boost/math/special_functions/cbrt.hpp> // for chi_squared_distribution
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "test_out_of_range.hpp"
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "test_nccs_hooks.hpp"
+#include "table_type.hpp"
+#include "test_nc_chi_squared.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 550, 100);                  // test function
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*medium[^|]*",                   // test data group
+      "[^|]*", 350, 100);                  // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                   // test data group
+      "[^|]*", 17000, 3000);                  // test function
+
+   //
+   // Allow some long double error to creep into
+   // the double results:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "double",                         // test type(s)
+      "[^|]*",                   // test data group
+      "[^|]*", 3, 2);                  // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+   expected_results();
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+   test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+
+#ifdef TEST_FLOAT
+   test_accuracy(0.0F, "float"); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_accuracy(0.0, "double"); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_accuracy(0.0L, "long double"); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_accuracy(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
diff --git a/src/boost/libs/math/test/test_nc_chi_squared.hpp b/src/boost/libs/math/test/test_nc_chi_squared.hpp
new file mode 100644
index 000000000..d65d1b628
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_chi_squared.hpp
@@ -0,0 +1,444 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/distributions/non_central_chi_squared.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <iostream>
+#include <iomanip>
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+#define BOOST_CHECK_EX(a, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+template <class RealType>
+RealType naive_pdf(RealType v, RealType lam, RealType x)
+{
+   // Formula direct from
+   // http://mathworld.wolfram.com/NoncentralChi-SquaredDistribution.html
+   // with no simplification:
+   RealType sum, term, prefix(1);
+   RealType eps = boost::math::tools::epsilon<RealType>();
+   term = sum = pdf(boost::math::chi_squared_distribution<RealType>(v), x);
+   for(int i = 1;; ++i)
+   {
+      prefix *= lam / (2 * i);
+      term = prefix * pdf(boost::math::chi_squared_distribution<RealType>(v + 2 * i), x);
+      sum += term;
+      if(term / sum < eps)
+         break;
+   }
+   return sum * exp(-lam / 2);
+}
+
+template <class RealType>
+void test_spot(
+   RealType df,    // Degrees of freedom
+   RealType ncp,   // non-centrality param
+   RealType cs,    // Chi Square statistic
+   RealType P,     // CDF
+   RealType Q,     // Complement of CDF
+   RealType tol)   // Test tolerance
+{
+   boost::math::non_central_chi_squared_distribution<RealType> dist(df, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, cs), P, tol);
+#ifndef BOOST_NO_EXCEPTIONS
+   try{
+      BOOST_CHECK_CLOSE(
+         pdf(dist, cs), naive_pdf(dist.degrees_of_freedom(), ncp, cs), tol * 150);
+   }
+   catch(const std::overflow_error&)
+   {
+   }
+#endif
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, cs)), Q, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(dist, P), cs, tol * 10);
+      BOOST_CHECK_CLOSE(
+         quantile(complement(dist, Q)), cs, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_degrees_of_freedom(ncp, cs, P), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_degrees_of_freedom(boost::math::complement(ncp, cs, Q)), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_non_centrality(df, cs, P), ncp, tol * 10);
+      BOOST_CHECK_CLOSE(
+         dist.find_non_centrality(boost::math::complement(df, cs, Q)), ncp, tol * 10);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+#ifndef ERROR_REPORTING_MODE
+   RealType tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      (RealType)boost::math::tools::epsilon<double>() * 5) * 150;
+   //
+   // At float precision we need to up the tolerance, since
+   // the input values are rounded off to inexact quantities
+   // the results get thrown off by a noticeable amount.
+   //
+   if(boost::math::tools::digits<RealType>() < 50)
+      tolerance *= 50;
+   if(boost::is_floating_point<RealType>::value != 1)
+      tolerance *= 20; // real_concept special functions are less accurate
+
+   std::cout << "Tolerance = " << tolerance << "%." << std::endl;
+
+   using boost::math::chi_squared_distribution;
+   using  ::boost::math::chi_squared;
+   using  ::boost::math::cdf;
+   using  ::boost::math::pdf;
+   //
+   // Test against the data from Table 6 of:
+   //
+   // "Self-Validating Computations of Probabilities for Selected
+   // Central and Noncentral Univariate Probability Functions."
+   // Morgan C. Wang; William J. Kennedy
+   // Journal of the American Statistical Association,
+   // Vol. 89, No. 427. (Sep., 1994), pp. 878-887.
+   //
+   test_spot(
+      static_cast<RealType>(1),   // degrees of freedom
+      static_cast<RealType>(6),   // non centrality
+      static_cast<RealType>(0.00393),   // Chi Squared statistic
+      static_cast<RealType>(0.2498463724258039e-2),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.2498463724258039e-2),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(5),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(9.23636),   // Chi Squared statistic
+      static_cast<RealType>(0.8272918751175548),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.8272918751175548),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(11),   // degrees of freedom
+      static_cast<RealType>(21),   // non centrality
+      static_cast<RealType>(24.72497),   // Chi Squared statistic
+      static_cast<RealType>(0.2539481822183126),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.2539481822183126),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(31),   // degrees of freedom
+      static_cast<RealType>(6),   // non centrality
+      static_cast<RealType>(44.98534),   // Chi Squared statistic
+      static_cast<RealType>(0.8125198785064969),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.8125198785064969),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(51),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(38.56038),   // Chi Squared statistic
+      static_cast<RealType>(0.8519497361859118e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.8519497361859118e-1),           // Q = 1 - P
+      tolerance * 2);
+   test_spot(
+      static_cast<RealType>(100),   // degrees of freedom
+      static_cast<RealType>(16),   // non centrality
+      static_cast<RealType>(82.35814),   // Chi Squared statistic
+      static_cast<RealType>(0.1184348822747824e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.1184348822747824e-1),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(300),   // degrees of freedom
+      static_cast<RealType>(16),   // non centrality
+      static_cast<RealType>(331.78852),   // Chi Squared statistic
+      static_cast<RealType>(0.7355956710306709),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.7355956710306709),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(500),   // degrees of freedom
+      static_cast<RealType>(21),   // non centrality
+      static_cast<RealType>(459.92612),   // Chi Squared statistic
+      static_cast<RealType>(0.2797023600800060e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.2797023600800060e-1),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(0.00016),   // Chi Squared statistic
+      static_cast<RealType>(0.6121428929881423e-2),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.6121428929881423e-2),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(1),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(0.00393),   // Chi Squared statistic
+      static_cast<RealType>(0.3033814229753780e-1),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.3033814229753780e-1),           // Q = 1 - P
+      tolerance);
+
+   RealType tol2 = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+   boost::math::non_central_chi_squared_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(12));
+   RealType x = 7;
+   using namespace std; // ADL of std names.
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , static_cast<RealType>(8 + 12), tol2);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , static_cast<RealType>(64), tol2);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+      standard_deviation(dist)
+      , static_cast<RealType>(8), tol2);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+      hazard(dist, x)
+      , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+      chf(dist, x)
+      , -log(cdf(complement(dist, x))), tol2);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+      coefficient_of_variation(dist)
+      , standard_deviation(dist) / mean(dist), tol2);
+   // mode:
+   BOOST_CHECK_CLOSE(
+      mode(dist)
+      , static_cast<RealType>(17.184201184730857030170788677340294070728990862663L), sqrt(tolerance * 500));
+   BOOST_CHECK_CLOSE(
+      median(dist),
+      quantile(
+      boost::math::non_central_chi_squared_distribution<RealType>(
+      static_cast<RealType>(8),
+      static_cast<RealType>(12)),
+      static_cast<RealType>(0.5)), static_cast<RealType>(tol2));
+   // skewness:
+   BOOST_CHECK_CLOSE(
+      skewness(dist)
+      , static_cast<RealType>(0.6875), tol2);
+   // kurtosis:
+   BOOST_CHECK_CLOSE(
+      kurtosis(dist)
+      , static_cast<RealType>(3.65625), tol2);
+   // kurtosis excess:
+   BOOST_CHECK_CLOSE(
+      kurtosis_excess(dist)
+      , static_cast<RealType>(0.65625), tol2);
+
+   // Error handling checks:
+   check_out_of_range<boost::math::non_central_chi_squared_distribution<RealType> >(1, 1);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_chi_squared_distribution<RealType>(0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_chi_squared_distribution<RealType>(-1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_chi_squared_distribution<RealType>(1, -1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_chi_squared_distribution<RealType>(1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_chi_squared_distribution<RealType>(1, 1), 2), std::domain_error);
+#endif
+} // template <class RealType>void test_spots(RealType)
+
+template <class T>
+T nccs_cdf(T df, T nc, T x)
+{
+   return cdf(boost::math::non_central_chi_squared_distribution<T>(df, nc), x);
+}
+
+template <class T>
+T nccs_ccdf(T df, T nc, T x)
+{
+   return cdf(complement(boost::math::non_central_chi_squared_distribution<T>(df, nc), x));
+}
+
+template <typename Real, typename T>
+void do_test_nc_chi_squared(T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type, value_type, value_type) = NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST;
+#else
+   value_type(*fp1)(value_type, value_type, value_type) = nccs_cdf;
+#endif
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_CHI_SQUARED_CDF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central chi squared CDF", test);
+#endif
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST))
+#ifdef NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST
+   fp1 = NC_CHI_SQUARED_CCDF_FUNCTION_TO_TEST;
+#else
+   fp1 = nccs_ccdf;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central chi squared CDF complement", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename Real, typename T>
+void quantile_sanity_check(T& data, const char* type_name, const char* test)
+{
+#ifndef ERROR_REPORTING_MODE
+   typedef Real                   value_type;
+
+   //
+   // Tests with type real_concept take rather too long to run, so
+   // for now we'll disable them:
+   //
+   if(!boost::is_floating_point<value_type>::value)
+      return;
+
+   std::cout << "Testing: " << type_name << " quantile sanity check, with tests " << test << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1 - boost::math::policies::digits<value_type, boost::math::policies::policy<> >() / 2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      if(Real(data[i][3]) == 0)
+      {
+         BOOST_CHECK(0 == quantile(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][3]));
+      }
+      else if(data[i][3] < 0.9999f)
+      {
+         value_type p = quantile(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][3]);
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(data[i][4] == 0)
+      {
+         BOOST_CHECK(0 == quantile(complement(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][3])));
+      }
+      else if(data[i][4] < 0.9999f)
+      {
+         value_type p = quantile(complement(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), data[i][4]));
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(boost::math::tools::digits<value_type>() > 50)
+      {
+         //
+         // Sanity check mode, the accuracy of
+         // the mode is at *best* the square root of the accuracy of the PDF:
+         //
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+            value_type m = mode(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]));
+            value_type p = pdf(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), m);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), m * (1 + sqrt(precision) * 50)) <= p, i);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_chi_squared_distribution<value_type>(data[i][0], data[i][1]), m * (1 - sqrt(precision)) * 50) <= p, i);
+         }
+         catch(const boost::math::evaluation_error&) {}
+#endif
+         //
+         // Sanity check degrees-of-freedom finder, don't bother at float
+         // precision though as there's not enough data in the probability
+         // values to get back to the correct degrees of freedom or
+         // non-centrality parameter:
+         //
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+#endif
+            if((data[i][3] < 0.99) && (data[i][3] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_degrees_of_freedom(data[i][1], data[i][2], data[i][3]),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_non_centrality(data[i][0], data[i][2], data[i][3]),
+                  data[i][1], precision, i);
+            }
+            if((data[i][4] < 0.99) && (data[i][4] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_degrees_of_freedom(boost::math::complement(data[i][1], data[i][2], data[i][4])),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_chi_squared_distribution<value_type>::find_non_centrality(boost::math::complement(data[i][0], data[i][2], data[i][4])),
+                  data[i][1], precision, i);
+            }
+#ifndef BOOST_NO_EXCEPTIONS
+         }
+         catch(const std::exception& e)
+         {
+            BOOST_ERROR(e.what());
+         }
+#endif
+      }
+   }
+#endif
+}
+
+template <typename T>
+void test_accuracy(T, const char* type_name)
+{
+#include "nccs.ipp"
+   do_test_nc_chi_squared<T>(nccs, type_name, "Non Central Chi Squared, medium parameters");
+   quantile_sanity_check<T>(nccs, type_name, "Non Central Chi Squared, medium parameters");
+
+#include "nccs_big.ipp"
+   do_test_nc_chi_squared<T>(nccs_big, type_name, "Non Central Chi Squared, large parameters");
+   quantile_sanity_check<T>(nccs_big, type_name, "Non Central Chi Squared, large parameters");
+}
diff --git a/src/boost/libs/math/test/test_nc_f.cpp b/src/boost/libs/math/test/test_nc_f.cpp
new file mode 100644
index 000000000..7bd52f14c
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_f.cpp
@@ -0,0 +1,314 @@
+// test_nc_beta.cpp
+
+// Copyright John Maddock 2008.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_f.hpp> // for chi_squared_distribution
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "test_out_of_range.hpp"
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+      }\
+   }
+
+#define BOOST_CHECK_EX(a, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+      }\
+   }
+
+void expected_results()
+{
+   //
+   // Printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class RealType>
+RealType naive_pdf(RealType v1, RealType v2, RealType l, RealType f)
+{
+   BOOST_MATH_STD_USING
+   RealType sum = 0;
+   for(int i = 0; ; ++i)
+   {
+      RealType term = -l/2 + log(l/2) * i;
+      term += boost::math::lgamma(v2/2 + v1/2+i) - (boost::math::lgamma(v2/2) + boost::math::lgamma(v1/2+i));
+      term -= boost::math::lgamma(RealType(i+1));
+      term += log(v1/v2) * (v1/2+i) + log(v2 / (v2 + v1 * f)) * ((v1 + v2) / 2 + i);
+      term += log(f) * (v1/2 - 1 + i);
+      term = exp(term);
+      sum += term;
+      if((term/sum < boost::math::tools::epsilon<RealType>()) || (term == 0))
+         break;
+   }
+   return sum;
+}
+
+template <class RealType>
+void test_spot(
+     RealType a,     // df1
+     RealType b,     // df2
+     RealType ncp,   // non-centrality param
+     RealType x,     // F statistic
+     RealType P,     // CDF
+     RealType Q,     // Complement of CDF
+     RealType D,     // PDF
+     RealType tol)   // Test tolerance
+{
+   boost::math::non_central_f_distribution<RealType> dist(a, b, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, x), P, tol);
+   BOOST_CHECK_CLOSE(
+      pdf(dist, x), D, tol);
+   if(boost::math::tools::digits<RealType>() > 50)
+   {
+      //
+      // The "naive" pdf calculation fails at float precision.
+      //
+      BOOST_CHECK_CLOSE(
+         pdf(dist, x), naive_pdf(a, b, ncp, x), tol);
+   }
+
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, x)), Q, tol);
+      BOOST_CHECK_CLOSE(
+            quantile(dist, P), x, tol * 10);
+      BOOST_CHECK_CLOSE(
+            quantile(complement(dist, Q)), x, tol * 10);
+   }
+   if(boost::math::tools::digits<RealType>() > 50)
+   {
+      //
+      // Sanity check mode:
+      //
+      RealType m = mode(dist);
+      RealType p = pdf(dist, m);
+      BOOST_CHECK(pdf(dist, m * (1 + sqrt(tol) * 10)) <= p);
+      BOOST_CHECK(pdf(dist, m * (1 - sqrt(tol)) * 10) <= p);
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 10000;
+
+   cout << "Tolerance = " << (tolerance / 100) << "%." << endl;
+
+   //
+   // Spot tests from Mathematica computed values:
+   //
+   test_spot(
+      RealType(5),                   // alpha
+      RealType(2),                   // beta
+      RealType(1),                   // non-centrality param
+      RealType(1.5),                   // F statistic
+      RealType(0.49845842011686358665786775091245664L),           // CDF
+      RealType(1 - 0.49845842011686358665786775091245664L),         // Complement of CDF
+      RealType(0.20251311620629730205859816288225385L),           // PDF
+      RealType(tolerance));
+
+   test_spot(
+     RealType(2),                   // alpha
+     RealType(5),                   // beta
+     RealType(1),                   // non-centrality param
+     RealType(2),                   // F statistic
+     RealType(0.64938711196845800322066756609406894L),           // CDF
+     RealType(1 - 0.64938711196845800322066756609406894L),         // Complement of CDF
+     RealType(0.15512617916132011524583796078456003L),           // PDF
+     RealType(tolerance));
+   test_spot(
+     RealType(100),                 // alpha
+     RealType(5),                   // beta
+     RealType(15),                  // non-centrality param
+     RealType(105),                 // F statistic
+     RealType(0.99996207325249555786258005958906310L),            // CDF
+     RealType(0.000037926747504442137419940410936905407L),          // Complement of CDF
+     RealType(8.9562292619539161551049126260104435e-7),         // PDF
+     RealType(tolerance * 10));
+   test_spot(
+     RealType(100),                 // alpha
+     RealType(5),                   // beta
+     RealType(15),                  // non-centrality param
+     RealType(1.5),                 // F statistic
+     RealType(0.57592315596686179870591317303126895L),           // CDF
+     RealType(1 - 0.57592315596686179870591317303126895L),         // Complement of CDF
+     RealType(0.36743745541686900593212039288061162L),           // PDF
+     RealType(tolerance * 5));
+   test_spot(
+     RealType(5),                   // alpha
+     RealType(100),                 // beta
+     RealType(102),                 // non-centrality param
+     RealType(25),                  // F statistic
+     RealType(0.74993383259829917593356265102363267L),           // CDF
+     RealType(1 - 0.74993383259829917593356265102363267L),         // Complement of CDF
+     RealType(0.054467600423154020554785779421659007L),           // PDF
+     RealType(tolerance * 5));
+   test_spot(
+     RealType(85),                  // alpha
+     RealType(100),                 // beta
+     RealType(0.5),                 // non-centrality param
+     RealType(1.25),                // F statistic
+     RealType(0.85228624977948142884820398473385455L),           // CDF
+     RealType(0.14771375022051857115179601526614545L),         // Complement of CDF
+     RealType(0.88510283331631848299643323511414868L),           // PDF
+     RealType(tolerance * 5));
+
+   //
+   // Spot tests use values computed by the R statistical
+   // package and the pbeta and dbeta functions:
+   //
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>() * 100,
+      (RealType)1e-6) * 100;
+
+   test_spot(
+      RealType(85),                  // alpha
+      RealType(100),                 // beta
+      RealType(245),                 // non-centrality param
+      RealType(3.5),                 // F statistic
+      RealType(0.2697244),           // CDF
+      RealType(1 - 0.2697244),         // Complement of CDF
+      RealType(0.54352369104452836465948073900030320L),           // PDF
+      RealType(tolerance));
+
+   BOOST_MATH_STD_USING
+
+   //
+   // 5 eps expressed as a percentage, otherwise the limit of the test data:
+   //
+   RealType tol2 = (std::max)(boost::math::tools::epsilon<RealType>() * 500, RealType(1e-25));
+   RealType x = 2;
+
+   boost::math::non_central_f_distribution<RealType> dist(20, 15, 30);
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , static_cast<RealType>(2.8846153846153846153846153846154L), tol2);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , static_cast<RealType>(2.1422807961269499731038192576654L), tol2);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+      standard_deviation(dist)
+      , sqrt(variance(dist)), tol2);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+      hazard(dist, x)
+      , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+      chf(dist, x)
+      , -log(cdf(complement(dist, x))), tol2);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+      coefficient_of_variation(dist)
+      , standard_deviation(dist) / mean(dist), tol2);
+   BOOST_CHECK_CLOSE(
+      median(dist),
+      quantile(
+      dist,
+      static_cast<RealType>(0.5)), static_cast<RealType>(tol2));
+   // mode:
+   BOOST_CHECK_CLOSE(
+      mode(dist)
+      , static_cast<RealType>(2.070019130232759428074835788815387743293972985542L), sqrt(tolerance));
+   // skewness:
+   BOOST_CHECK_CLOSE(
+      skewness(dist)
+      , static_cast<RealType>(2.1011821125804540669752380228510691320707051692719L), tol2);
+   // kurtosis:
+   BOOST_CHECK_CLOSE(
+      kurtosis(dist)
+      , 3 + kurtosis_excess(dist), tol2);
+   // kurtosis excess:
+   BOOST_CHECK_CLOSE(
+      kurtosis_excess(dist)
+      , static_cast<RealType>(13.225781681053154767604638331440974359675882226873L), tol2);
+
+   // Error handling checks:
+   check_out_of_range<boost::math::non_central_f_distribution<RealType> >(1, 1, 1);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(0, 1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(-1, 1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(1, 0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_f_distribution<RealType>(1, -1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_f_distribution<RealType>(1, 1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_f_distribution<RealType>(1, 1, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+   expected_results();
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F); // Test float.
+   test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+
+
+} // BOOST_AUTO_TEST_CASE( test_main )
diff --git a/src/boost/libs/math/test/test_nc_t.cpp b/src/boost/libs/math/test/test_nc_t.cpp
new file mode 100644
index 000000000..d9a8d4ed7
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_t.cpp
@@ -0,0 +1,502 @@
+// test_nc_t.cpp
+
+// Copyright John Maddock 2008, 2012.
+// Copyright Paul A. Bristow 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp> // Need to include lib/math/test in path.
+
+#ifdef _MSC_VER
+#pragma warning (disable:4127 4512)
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/non_central_t.hpp> // for chi_squared_distribution.
+#include <boost/math/distributions/normal.hpp> // for normal distribution (for comparison).
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+
+#include "functor.hpp"
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+#include "test_nc_t.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   if(std::numeric_limits<long double>::digits > 54)
+   {
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         largest_type,                     // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 2000000, 200000);        // test function
+      add_expected_result(
+         "[^|]*",                          // compiler
+         "[^|]*",                          // stdlib
+         "[^|]*",                          // platform
+         "double",                         // test type(s)
+         "[^|]*large[^|]*",                // test data group
+         "[^|]*", 500, 100);               // test function
+   }
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 300000, 100000);                // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*large[^|]*",                // test data group
+      "[^|]*", 1500, 300);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*small[^|]*",                // test data group
+      "[^|]*", 400, 100);              // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      ".*Solaris.*",                    // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 400, 100);               // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "[^|]*", 250, 50);                // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+   // Basic sanity-check spot values.
+   expected_results();
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+   test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+   test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_spots(0.0L); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+  
+#ifdef TEST_FLOAT
+   test_accuracy(0.0F, "float"); // Test float.
+   test_big_df(0.F); // float
+#endif
+#ifdef TEST_DOUBLE
+   test_accuracy(0.0, "double"); // Test double.
+   test_big_df(0.); // double
+   test_ignore_policy(0.0);
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+   test_accuracy(0.0L, "long double"); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+   test_accuracy(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#endif
+  /* */
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_nc_t.exe"
+  Running 1 test case...
+  Tests run with Microsoft Visual C++ version 10.0, Dinkumware standard library version 520, Win32
+  Tolerance = 0.000596046%.
+  Tolerance = 5e-010%.
+  Tolerance = 5e-010%.
+  Tolerance = 1e-008%.
+  Testing: Non Central T
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<long double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<long double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<long double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<long double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<long double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<long double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<real_concept> Max = 2.816e+005 RMS Mean=2.029e+004
+      worst case at row: 185
+      { 191.50137329101562, -957.5068359375, -1035.4078369140625, 0.072545502958829097, 0.92745449704117089 }
+  
+  CCDF<real_concept> Max = 1.304e+005 RMS Mean=1.529e+004
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  cdf(n10, 11)  = 0.84134471416473389 0.15865525603294373
+  cdf(n10, 9)  = 0.15865525603294373 0.84134471416473389
+  cdf(maxdf10, 11)  = 0.84134477376937866 0.15865525603294373
+  cdf(infdf10, 11)  = 0.84134477376937866 0.15865525603294373
+  cdf(n10, 11)  = 0.84134474606854293 0.15865525393145707
+  cdf(n10, 9)  = 0.15865525393145707 0.84134474606854293
+  cdf(maxdf10, 11)  = 0.84134474606854293 0.15865525393145707
+  cdf(infdf10, 11)  = 0.84134474606854293 0.15865525393145707
+  
+  *** No errors detected
+
+    Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_nc_t.exe"
+  Running 1 test case...
+  Tests run with Microsoft Visual C++ version 10.0, Dinkumware standard library version 520, Win32
+  Tolerance = 0.000596046%.
+  Tolerance = 5e-010%.
+  Tolerance = 5e-010%.
+  Tolerance = 1e-008%.
+  Testing: Non Central T
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<float> Max = 0 RMS Mean=0
+  
+  CCDF<float> Max = 0 RMS Mean=0
+  
+  
+  Testing: float quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<long double> Max = 137.7 RMS Mean=31.5
+      worst case at row: 181
+      { 188.01481628417969, -282.022216796875, -298.02532958984375, 0.1552789395983287, 0.84472106040167128 }
+  
+  CCDF<long double> Max = 150.4 RMS Mean=32.32
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T
+  Testing: Non Central T (small non-centrality)
+  CDF<long double> Max = 3.605 RMS Mean=1.031
+      worst case at row: 42
+      { 7376104448, 7.3761043495323975e-007, -1.3614851236343384, 0.086680099352107118, 0.91331990064789292 }
+  
+  CCDF<long double> Max = 5.207 RMS Mean=1.432
+      worst case at row: 38
+      { 1524088576, 1.5240885886669275e-007, 1.3784774541854858, 0.91597201432644526, 0.084027985673554725 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (small non-centrality)
+  Testing: Non Central T (large parameters)
+  CDF<long double> Max = 286.4 RMS Mean=62.79
+      worst case at row: 24
+      { 1.3091821180254421e+019, 1309.18212890625, 1308.01171875, 0.12091797523015677, 0.87908202476984321 }
+  
+  CCDF<long double> Max = 226.9 RMS Mean=50.41
+      worst case at row: 23
+      { 7.9217674231144776e+018, 792.1767578125, 793.54827880859375, 0.91489369852628, 0.085106301473719961 }
+  
+  
+  Testing: long double quantile sanity check, with tests Non Central T (large parameters)
+  Testing: Non Central T
+  CDF<real_concept> Max = 2.816e+005 RMS Mean=2.029e+004
+      worst case at row: 185
+      { 191.50137329101562, -957.5068359375, -1035.4078369140625, 0.072545502958829097, 0.92745449704117089 }
+  
+  CCDF<real_concept> Max = 1.304e+005 RMS Mean=1.529e+004
+      worst case at row: 184
+      { 191.43339538574219, 765.73358154296875, 820.14422607421875, 0.89943076553533785, 0.10056923446466212 }
+  
+  
+  
+  *** No errors detected
+
+
+*/
+
+
+
+/*
+
+Temporary stuff from student's t version.
+
+
+   // Calculate 1 / eps, the point where student's t should change to normal distribution.
+    RealType limit = 1 / boost::math::tools::epsilon<RealType>();
+
+    using namespace boost::math::policies;
+    typedef policy<digits10<17> > accurate_policy; // 17 = max_digits10 where available.
+    limit = 1 / policies::get_epsilon<RealType, accurate_policy>();
+
+    BOOST_CHECK_CLOSE_FRACTION(limit, static_cast<RealType>(1) / std::numeric_limits<RealType>::epsilon(), tolerance);
+    // Default policy to get full accuracy.
+    // std::cout << "Switch over to normal if df > " << limit << std::endl;
+    // float Switch over to normal if df > 8.38861e+006
+    // double Switch over to normal if df > 4.5036e+015
+    // Can't test real_concept - doesn't converge.
+
+    boost::math::normal_distribution<RealType> n01(0, 1); // 
+    boost::math::normal_distribution<RealType> n10(10, 1); // 
+    non_central_t_distribution<RealType> nct(boost::math::tools::max_value<RealType>(), 0); // Well over the switchover point,
+    non_central_t_distribution<RealType> nct2(limit /5, 0); // Just below the switchover point,
+    non_central_t_distribution<RealType> nct3(limit /100, 0); // Well below the switchover point,
+    non_central_t_distribution<RealType> nct4(limit, 10); // Well below the switchover point, and 10 non-centrality.
+
+    // PDF
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct, 0), pdf(n01, 0.), tolerance); // normal and non-central t should be nearly equal.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct2, 0), pdf(n01, 0.), tolerance); // should be very close to normal.
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct3, 0), pdf(n01, 0.), tolerance * 10); // should be close to normal.
+ //   BOOST_CHECK_CLOSE_FRACTION(pdf(nct4, 10), pdf(n10, 0.), tolerance * 100); // should be fairly close to normal tolerance.
+
+    RealType delta = 10; // non-centrality.
+    RealType nu = static_cast<RealType>(limit); // df
+    boost::math::normal_distribution<RealType> nl(delta, 1); // Normal distribution that nct tends to for big df. 
+    non_central_t_distribution<RealType> nct5(nu, delta); //
+    RealType x = delta;
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 10 ); // nu = 1e15
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 1000 ); // nu = 1e14
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 10000 ); // nu = 1e13
+  //  BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 100000 ); // nu = 1e12
+    BOOST_CHECK_CLOSE_FRACTION(pdf(nct5, x), pdf(nl, x), tolerance * 5  ); // nu = 1/eps
+
+  // Increasing the non-centrality delta increases the difference too because increases asymmetry.
+  // For example, with non-centrality = 100, need tolerance * 500 
+
+      // CDF
+    BOOST_CHECK_CLOSE_FRACTION(cdf(nct, 0), cdf(n01, 0.), tolerance); // should be exactly equal.
+    BOOST_CHECK_CLOSE_FRACTION(cdf(nct2, 0), cdf(n01, 0.), tolerance); // should be very close to normal.
+
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(n10, 11)), 1 - cdf(n10, 11), tolerance); // 
+    //   cdf(n10, 10)  = 0.841345 0.158655
+    BOOST_CHECK_CLOSE_FRACTION(cdf(complement(n10, 9)), 1 - cdf(n10, 9), tolerance); // 
+    std::cout.precision(17);
+    std::cout  << "cdf(n10, 11)  = " << cdf(n10, 11) << ' ' << cdf(complement(n10, 11)) << endl;
+    std::cout  << "cdf(n10, 9)  = " << cdf(n10, 9) << ' ' << cdf(complement(n10, 9)) << endl;
+
+  std::cout << std::numeric_limits<double>::max_digits10 << std::endl;
+   std::cout.precision(17);
+
+   using boost::math::tools::max_value;
+
+   double eps = std::numeric_limits<double>::epsilon();
+   // Use policies so that if policy requests lower precision, 
+   // then get the normal distribution approximation earlier.
+   //limit = static_cast<double>(1) / limit; // 1/eps
+   double delta = 1e2;
+   double df = 
+   delta / (4 * eps);
+
+    std::cout << df << std::endl; // df = 1.125899906842624e+018
+     
+   {
+     boost::math::non_central_t_distribution<double> dist(df, delta);
+
+      std::cout <<"mean " << mean(dist) << std::endl; // mean 1000
+      std::cout <<"variance " << variance(dist) << std::endl; // variance 1
+      std::cout <<"skewness " << skewness(dist) << std::endl; //  skewness 8.8817841970012523e-010
+      std::cout <<"kurtosis_excess " << kurtosis_excess(dist) << std::endl; // kurtosis_excess 3.0001220703125
+  //1.125899906842624e+017
+  //mean 100
+  //variance 1
+  //skewness 8.8817841970012523e-012
+  //kurtosis_excess 3
+
+
+   }
+
+
+
+  */
diff --git a/src/boost/libs/math/test/test_nc_t.hpp b/src/boost/libs/math/test/test_nc_t.hpp
new file mode 100644
index 000000000..c09c0ebd7
--- /dev/null
+++ b/src/boost/libs/math/test/test_nc_t.hpp
@@ -0,0 +1,731 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/distributions/non_central_t.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+#include "test_out_of_range.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+#define BOOST_CHECK_EX(a, i) \
+      {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK(a); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+            {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " } " << std::endl;\
+            }\
+      }
+
+template <class RealType>
+RealType naive_pdf(RealType v, RealType delta, RealType x)
+{
+}
+
+template <class RealType>
+RealType naive_mean(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   return delta * sqrt(v / 2) * tgamma((v - 1) / 2) / tgamma(v / 2);
+}
+
+float naive_mean(float v, float delta)
+{
+   return (float)naive_mean((double)v, (double)delta);
+}
+
+template <class RealType>
+RealType naive_variance(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   RealType r = tgamma((v - 1) / 2) / tgamma(v / 2);
+   r *= r;
+   r *= -delta * delta * v / 2;
+   r += (1 + delta * delta) * v / (v - 2);
+   return r;
+}
+
+float naive_variance(float v, float delta)
+{
+   return (float)naive_variance((double)v, (double)delta);
+}
+
+template <class RealType>
+RealType naive_skewness(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   RealType tgr = tgamma((v - 1) / 2) / tgamma(v / 2);
+   RealType r = delta * sqrt(v) * tgamma((v - 1) / 2)
+      * (v * (-3 + delta * delta + 2 * v) / ((-3 + v) * (-2 + v))
+      - 2 * ((1 + delta * delta) * v / (-2 + v) - delta * delta * v * tgr * tgr / 2));
+   r /= boost::math::constants::root_two<RealType>()
+      * pow(((1 + delta*delta) * v / (-2 + v) - delta*delta*v*tgr*tgr / 2), RealType(1.5f))
+      * tgamma(v / 2);
+   return r;
+}
+
+float naive_skewness(float v, float delta)
+{
+   return (float)naive_skewness((double)v, (double)delta);
+}
+
+template <class RealType>
+RealType naive_kurtosis_excess(RealType v, RealType delta)
+{
+   using boost::math::tgamma;
+   RealType tgr = tgamma((v - 1) / 2) / tgamma(v / 2);
+   RealType r = -delta * delta * v * tgr * tgr / 2;
+   r *= v * (delta * delta * (1 + v) + 3 * (-5 + 3 * v)) / ((-3 + v)*(-2 + v))
+      - 3 * ((1 + delta * delta) * v / (-2 + v) - delta * delta * v * tgr * tgr / 2);
+   r += (3 + 6 * delta * delta + delta * delta * delta * delta)* v * v
+      / ((-4 + v) * (-2 + v));
+   r /= (1 + delta*delta)*v / (-2 + v) - delta*delta*v *tgr*tgr / 2;
+   r /= (1 + delta*delta)*v / (-2 + v) - delta*delta*v *tgr*tgr / 2;
+   return r;
+}
+
+float naive_kurtosis_excess(float v, float delta)
+{
+   return (float)naive_kurtosis_excess((double)v, (double)delta);
+}
+
+template <class RealType>
+void test_spot(
+   RealType df,    // Degrees of freedom
+   RealType ncp,   // non-centrality param
+   RealType t,     // T statistic
+   RealType P,     // CDF
+   RealType Q,     // Complement of CDF
+   RealType tol)   // Test tolerance
+{
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   RealType tolerance_tgamma_extra = std::numeric_limits<RealType>::is_specialized ? 1 : 5;
+
+   boost::math::non_central_t_distribution<RealType> dist(df, ncp);
+   BOOST_CHECK_CLOSE(
+      cdf(dist, t), P, tol);
+#ifndef BOOST_NO_EXCEPTIONS
+   try{
+      BOOST_CHECK_CLOSE(
+         mean(dist), naive_mean(df, ncp), tol);
+      BOOST_CHECK_CLOSE(
+         variance(dist), naive_variance(df, ncp), tol);
+      BOOST_CHECK_CLOSE(
+         skewness(dist), naive_skewness(df, ncp), tol * 10 * tolerance_tgamma_extra);
+      BOOST_CHECK_CLOSE(
+         kurtosis_excess(dist), naive_kurtosis_excess(df, ncp), tol * 50 * tolerance_tgamma_extra);
+      BOOST_CHECK_CLOSE(
+         kurtosis(dist), 3 + naive_kurtosis_excess(df, ncp), tol * 50 * tolerance_tgamma_extra);
+   }
+   catch(const std::domain_error&)
+   {
+   }
+#endif
+   /*
+   BOOST_CHECK_CLOSE(
+   pdf(dist, t), naive_pdf(dist.degrees_of_freedom(), ncp, t), tol * 50);
+   */
+   if((P < 0.99) && (Q < 0.99))
+   {
+      //
+      // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is reasonably free of error:
+      //
+      BOOST_CHECK_CLOSE(
+         cdf(complement(dist, t)), Q, tol);
+      BOOST_CHECK_CLOSE(
+         quantile(dist, P), t, tol * 10);
+      BOOST_CHECK_CLOSE(
+         quantile(complement(dist, Q)), t, tol * 10);
+      /*  Removed because can give more than one solution.
+      BOOST_CHECK_CLOSE(
+      dist.find_degrees_of_freedom(ncp, t, P), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+      dist.find_degrees_of_freedom(boost::math::complement(ncp, t, Q)), df, tol * 10);
+      BOOST_CHECK_CLOSE(
+      dist.find_non_centrality(df, t, P), ncp, tol * 10);
+      BOOST_CHECK_CLOSE(
+      dist.find_non_centrality(boost::math::complement(df, t, Q)), ncp, tol * 10);
+      */
+   }
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   using namespace std;
+   //
+   // Approx limit of test data is 12 digits expressed here as a percentage:
+   //
+   RealType tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      (RealType)5e-12f) * 100;
+   //
+   // At float precision we need to up the tolerance, since
+   // the input values are rounded off to inexact quantities
+   // the results get thrown off by a noticeable amount.
+   //
+   if(boost::math::tools::digits<RealType>() < 50)
+      tolerance *= 50;
+   if(boost::is_floating_point<RealType>::value != 1)
+      tolerance *= 20; // real_concept special functions are less accurate
+
+   cout << "Tolerance = " << tolerance << "%." << endl;
+
+   //
+   // Test data is taken from:
+   //
+   // Computing discrete mixtures of continuous
+   // distributions: noncentral chisquare, noncentral t
+   // and the distribution of the square of the sample
+   // multiple correlation coefficient.
+   // Denise Benton, K. Krishnamoorthy.
+   // Computational Statistics & Data Analysis 43 (2003) 249 - 267
+   //
+   test_spot(
+      static_cast<RealType>(3),   // degrees of freedom
+      static_cast<RealType>(1),   // non centrality
+      static_cast<RealType>(2.34),   // T
+      static_cast<RealType>(0.801888999613917),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.801888999613917),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(126),   // degrees of freedom
+      static_cast<RealType>(-2),   // non centrality
+      static_cast<RealType>(-4.33),   // T
+      static_cast<RealType>(1.252846196792878e-2),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 1.252846196792878e-2),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(20),   // degrees of freedom
+      static_cast<RealType>(23),   // non centrality
+      static_cast<RealType>(23),   // T
+      static_cast<RealType>(0.460134400391924),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.460134400391924),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(20),   // degrees of freedom
+      static_cast<RealType>(33),   // non centrality
+      static_cast<RealType>(34),   // T
+      static_cast<RealType>(0.532008386378725),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.532008386378725),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(12),   // degrees of freedom
+      static_cast<RealType>(38),   // non centrality
+      static_cast<RealType>(39),   // T
+      static_cast<RealType>(0.495868184917805),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.495868184917805),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(12),   // degrees of freedom
+      static_cast<RealType>(39),   // non centrality
+      static_cast<RealType>(39),   // T
+      static_cast<RealType>(0.446304024668836),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.446304024668836),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(200),   // degrees of freedom
+      static_cast<RealType>(38),   // non centrality
+      static_cast<RealType>(39),   // T
+      static_cast<RealType>(0.666194209961795),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.666194209961795),           // Q = 1 - P
+      tolerance);
+   test_spot(
+      static_cast<RealType>(200),   // degrees of freedom
+      static_cast<RealType>(42),   // non centrality
+      static_cast<RealType>(40),   // T
+      static_cast<RealType>(0.179292265426085),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.179292265426085),           // Q = 1 - P
+      tolerance);
+
+   // From https://svn.boost.org/trac/boost/ticket/10480.
+   // Test value from Mathematica N[CDF[NoncentralStudentTDistribution[2, 4], 5], 35]:
+   test_spot(
+      static_cast<RealType>(2),   // degrees of freedom
+      static_cast<RealType>(4),   // non centrality
+      static_cast<RealType>(5),   // T
+      static_cast<RealType>(0.53202069866995310466912357978934321L),       // Probability of result (CDF), P
+      static_cast<RealType>(1 - 0.53202069866995310466912357978934321L),           // Q = 1 - P
+      tolerance);
+
+   /* This test fails
+   "Result of tgamma is too large to represent" at naive_mean check for max and infinity.
+   if (std::numeric_limits<RealType>::has_infinity)
+   {
+   test_spot(
+   //static_cast<RealType>(std::numeric_limits<RealType>::infinity()),   // degrees of freedom
+   static_cast<RealType>((std::numeric_limits<RealType>::max)()),   // degrees of freedom
+   static_cast<RealType>(10),   // non centrality
+   static_cast<RealType>(11),   // T
+   static_cast<RealType>(0.84134474606854293),       // Probability of result (CDF), P
+   static_cast<RealType>(0.15865525393145707),           // Q = 1 - P
+   tolerance);
+   }
+   */
+
+   boost::math::non_central_t_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(12));
+   BOOST_CHECK_CLOSE(pdf(dist, 12), static_cast<RealType>(1.235329715425894935157684607751972713457e-1L), tolerance);
+   BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution<RealType>(126, -2), -4), static_cast<RealType>(5.797932289365814702402873546466798025787e-2L), tolerance);
+   BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution<RealType>(126, 2), 4), static_cast<RealType>(5.797932289365814702402873546466798025787e-2L), tolerance);
+   BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution<RealType>(126, 2), 0), static_cast<RealType>(5.388394890639957139696546086044839573749e-2L), tolerance);
+
+   // Error handling checks:
+   //check_out_of_range<boost::math::non_central_t_distribution<RealType> >(1, 1);  // Fails one check because df for this distribution *can* be infinity.
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_t_distribution<RealType>(0, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_t_distribution<RealType>(-1, 1), 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_t_distribution<RealType>(1, 1), -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(boost::math::non_central_t_distribution<RealType>(1, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+template <class T>
+T nct_cdf(T df, T nc, T x)
+{
+   return cdf(boost::math::non_central_t_distribution<T>(df, nc), x);
+}
+
+template <class T>
+T nct_ccdf(T df, T nc, T x)
+{
+   return cdf(complement(boost::math::non_central_t_distribution<T>(df, nc), x));
+}
+
+template <typename Real, typename T>
+void do_test_nc_t(T& data, const char* type_name, const char* test)
+{
+   typedef Real                   value_type;
+
+   std::cout << "Testing: " << test << std::endl;
+
+#ifdef NC_T_CDF_FUNCTION_TO_TEST
+   value_type(*fp1)(value_type, value_type, value_type) = NC_T_CDF_FUNCTION_TO_TEST;
+#else
+   value_type(*fp1)(value_type, value_type, value_type) = nct_cdf;
+#endif
+   boost::math::tools::test_result<value_type> result;
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_T_CDF_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(3));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central t CDF", test);
+#endif
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(NC_T_CCDF_FUNCTION_TO_TEST))
+#ifdef NC_T_CCDF_FUNCTION_TO_TEST
+   fp1 = NC_T_CCDF_FUNCTION_TO_TEST;
+#else
+   fp1 = nct_ccdf;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(fp1, 0, 1, 2),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(),
+      type_name, "non central t CDF complement", test);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <typename Real, typename T>
+void quantile_sanity_check(T& data, const char* type_name, const char* test)
+{
+#ifndef ERROR_REPORTING_MODE
+   typedef Real                   value_type;
+
+   //
+   // Tests with type real_concept take rather too long to run, so
+   // for now we'll disable them:
+   //
+   if(!boost::is_floating_point<value_type>::value)
+      return;
+
+   std::cout << "Testing: " << type_name << " quantile sanity check, with tests " << test << std::endl;
+
+   //
+   // These sanity checks test for a round trip accuracy of one half
+   // of the bits in T, unless T is type float, in which case we check
+   // for just one decimal digit.  The problem here is the sensitivity
+   // of the functions, not their accuracy.  This test data was generated
+   // for the forward functions, which means that when it is used as
+   // the input to the inverses then it is necessarily inexact.  This rounding
+   // of the input is what makes the data unsuitable for use as an accuracy check,
+   // and also demonstrates that you can't in general round-trip these functions.
+   // It is however a useful sanity check.
+   //
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1 - boost::math::policies::digits<value_type, boost::math::policies::policy<> >() / 2)) * 100;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated to float
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      if(data[i][3] == 0)
+      {
+         BOOST_CHECK(0 == quantile(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][3]));
+      }
+      else if(data[i][3] < 0.9999f)
+      {
+         value_type p = quantile(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][3]);
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(data[i][4] == 0)
+      {
+         BOOST_CHECK(0 == quantile(complement(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][3])));
+      }
+      else if(data[i][4] < 0.9999f)
+      {
+         value_type p = quantile(complement(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), data[i][4]));
+         value_type pt = data[i][2];
+         BOOST_CHECK_CLOSE_EX(pt, p, precision, i);
+      }
+      if(boost::math::tools::digits<value_type>() > 50)
+      {
+         //
+         // Sanity check mode, the accuracy of
+         // the mode is at *best* the square root of the accuracy of the PDF:
+         //
+#ifndef BOOST_NO_EXCEPTIONS
+         try{
+            value_type m = mode(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]));
+            value_type p = pdf(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), m);
+            value_type delta = (std::max)(fabs(m * sqrt(precision) * 50), sqrt(precision) * 50);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), m + delta) <= p, i);
+            BOOST_CHECK_EX(pdf(boost::math::non_central_t_distribution<value_type>(data[i][0], data[i][1]), m - delta) <= p, i);
+         }
+         catch(const boost::math::evaluation_error&) {}
+#endif
+#if 0
+         //
+         // Sanity check degrees-of-freedom finder, don't bother at float
+         // precision though as there's not enough data in the probability
+         // values to get back to the correct degrees of freedom or
+         // non-centrality parameter:
+         //
+         try{
+            if((data[i][3] < 0.99) && (data[i][3] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_degrees_of_freedom(data[i][1], data[i][2], data[i][3]),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_non_centrality(data[i][0], data[i][2], data[i][3]),
+                  data[i][1], precision, i);
+            }
+            if((data[i][4] < 0.99) && (data[i][4] != 0))
+            {
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_degrees_of_freedom(boost::math::complement(data[i][1], data[i][2], data[i][4])),
+                  data[i][0], precision, i);
+               BOOST_CHECK_CLOSE_EX(
+                  boost::math::non_central_t_distribution<value_type>::find_non_centrality(boost::math::complement(data[i][0], data[i][2], data[i][4])),
+                  data[i][1], precision, i);
+            }
+         }
+         catch(const std::exception& e)
+         {
+            BOOST_ERROR(e.what());
+         }
+#endif
+      }
+   }
+#endif
+}
+
+template <typename T>
+void test_accuracy(T, const char* type_name)
+{
+#include "nct.ipp"
+   do_test_nc_t<T>(nct, type_name, "Non Central T");
+   quantile_sanity_check<T>(nct, type_name, "Non Central T");
+   if(std::numeric_limits<T>::is_specialized)
+   {
+      //
+      // Don't run these tests for real_concept: they take too long and don't converge
+      // without numeric_limits and lanczos support:
+      //
+#include "nct_small_delta.ipp"
+      do_test_nc_t<T>(nct_small_delta, type_name, "Non Central T (small non-centrality)");
+      quantile_sanity_check<T>(nct_small_delta, type_name, "Non Central T (small non-centrality)");
+#include "nct_asym.ipp"
+      do_test_nc_t<T>(nct_asym, type_name, "Non Central T (large parameters)");
+      quantile_sanity_check<T>(nct_asym, type_name, "Non Central T (large parameters)");
+   }
+}
+
+
+template <class RealType>
+void test_big_df(RealType)
+{
+   using namespace boost::math;
+
+   if(typeid(RealType) != typeid(boost::math::concepts::real_concept))
+   { // Ordinary floats only.
+      // Could also test if (std::numeric_limits<RealType>::is_specialized);
+
+      RealType tolerance = 10 * boost::math::tools::epsilon<RealType>(); // static_cast<RealType>(1e-14); //
+      std::cout.precision(17); // Note: need to reset after calling BOOST_CHECK_s
+      // due to buglet in Boost.test that fails to restore precision correctly.
+
+      // Test for large degrees of freedom when should be same as normal.
+      RealType inf =
+         (std::numeric_limits<RealType>::has_infinity) ?
+         std::numeric_limits<RealType>::infinity()
+         :
+         boost::math::tools::max_value<RealType>();
+      RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+      // Tests for df = max_value and infinity.
+      RealType max_val = boost::math::tools::max_value<RealType>();
+      non_central_t_distribution<RealType> maxdf(max_val, 0);
+      BOOST_CHECK_EQUAL(maxdf.degrees_of_freedom(), max_val);
+
+      non_central_t_distribution<RealType> infdf(inf, 0);
+      BOOST_CHECK_EQUAL(infdf.degrees_of_freedom(), inf);
+      BOOST_CHECK_EQUAL(mean(infdf), 0);
+      BOOST_CHECK_EQUAL(mean(maxdf), 0);
+      BOOST_CHECK_EQUAL(variance(infdf), 1);
+      BOOST_CHECK_EQUAL(variance(maxdf), 1);
+      BOOST_CHECK_EQUAL(skewness(infdf), 0);
+      BOOST_CHECK_EQUAL(skewness(maxdf), 0);
+      BOOST_CHECK_EQUAL(kurtosis_excess(infdf), 3);
+      BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(maxdf), static_cast<RealType>(3), tolerance);
+
+      // Bad df examples.
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType> minfdf(-inf, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType> minfdf(nan, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType> minfdf(-nan, 0), std::domain_error);
+#else
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType>(-inf, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType>(nan, 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(non_central_t_distribution<RealType>(-nan, 0), std::domain_error);
+#endif
+
+
+      // BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0), static_cast<RealType>(0.3989422804014326779399460599343818684759L), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(pdf(maxdf, 0), boost::math::constants::one_div_root_two_pi<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0), boost::math::constants::one_div_root_two_pi<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(cdf(infdf, 0), boost::math::constants::half<RealType>(), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(cdf(maxdf, 0), boost::math::constants::half<RealType>(), tolerance);
+
+      // non-centrality delta = 10
+      // Degrees of freedom = Max value and  = infinity should be very close.
+      non_central_t_distribution<RealType> maxdf10(max_val, 10);
+      non_central_t_distribution<RealType> infdf10(inf, 10);
+      BOOST_CHECK_EQUAL(infdf10.degrees_of_freedom(), inf);
+      BOOST_CHECK_EQUAL(infdf10.non_centrality(), 10);
+      BOOST_CHECK_EQUAL(mean(infdf10), 10);
+      BOOST_CHECK_CLOSE_FRACTION(mean(maxdf10), static_cast<RealType>(10), tolerance);
+
+      BOOST_CHECK_CLOSE_FRACTION(pdf(infdf10, 11), pdf(maxdf10, 11), tolerance); //
+
+      BOOST_CHECK_CLOSE_FRACTION(cdf(complement(infdf10, 11)), 1 - cdf(infdf10, 11), tolerance); //
+      BOOST_CHECK_CLOSE_FRACTION(cdf(complement(maxdf10, 11)), 1 - cdf(maxdf10, 11), tolerance); //
+      BOOST_CHECK_CLOSE_FRACTION(cdf(complement(infdf10, 11)), 1 - cdf(maxdf10, 11), tolerance); //
+      std::cout.precision(17);
+      //std::cout  << "cdf(maxdf10, 11)  = " << cdf(maxdf10, 11) << ' ' << cdf(complement(maxdf10, 11)) << endl;
+      //std::cout  << "cdf(infdf10, 11)  = " << cdf(infdf10, 11) << ' ' << cdf(complement(infdf10, 11)) << endl;
+      //std::cout  << "quantile(maxdf10, 0.5)  = " << quantile(maxdf10, 0.5) << std::endl; // quantile(maxdf10, 0.5)  = 10.000000000000004
+      //std::cout  << "quantile(infdf10, 0.5) = " << ' ' << quantile(infdf10, 0.5) << std::endl; // quantile(infdf10, 0.5) =  10
+
+      BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.5), static_cast<RealType>(10), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf10, 0.5), static_cast<RealType>(10), tolerance);
+
+      BOOST_TEST_MESSAGE("non_central_t_distribution<RealType> infdf100(inf, 100);");
+      non_central_t_distribution<RealType> infdf100(inf, 100);
+      BOOST_TEST_MESSAGE("non_central_t_distribution<RealType> maxdf100(max_val, 100);");
+      non_central_t_distribution<RealType> maxdf100(max_val, 100);
+      BOOST_TEST_MESSAGE("BOOST_CHECK_CLOSE_FRACTION(quantile(infdf100, 0.5), static_cast<RealType>(100), tolerance);");
+      BOOST_CHECK_CLOSE_FRACTION(quantile(infdf100, 0.5), static_cast<RealType>(100), tolerance);
+      BOOST_TEST_MESSAGE("BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf100, 0.5), static_cast<RealType>(100), tolerance);");
+      BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf100, 0.5), static_cast<RealType>(100), tolerance);
+      { // Loop back.
+         RealType p = static_cast<RealType>(0.01);
+         RealType x = quantile(infdf10, p);
+         RealType c = cdf(infdf10, x);
+         BOOST_CHECK_CLOSE_FRACTION(c, p, tolerance);
+      }
+    {
+       RealType q = static_cast<RealType>(0.99);
+       RealType x = quantile(complement(infdf10, q));
+       RealType c = cdf(complement(infdf10, x));
+       BOOST_CHECK_CLOSE_FRACTION(c, q, tolerance);
+    }
+    { // Loop back.
+       RealType p = static_cast<RealType>(0.99);
+       RealType x = quantile(infdf10, p);
+       RealType c = cdf(infdf10, x);
+       BOOST_CHECK_CLOSE_FRACTION(c, p, tolerance);
+    }
+    {
+       RealType q = static_cast<RealType>(0.01);
+       RealType x = quantile(complement(infdf10, q));
+       RealType c = cdf(complement(infdf10, x));
+       BOOST_CHECK_CLOSE_FRACTION(c, q, tolerance * 2); // c{0.0100000128} and q{0.00999999978}
+    }
+
+    //RealType cinf = quantile(infdf10, 0.25);
+    //std::cout << cinf << ' ' << cdf(infdf10, cinf) << std::endl; // 9.32551 0.25
+
+    //RealType cmax = quantile(maxdf10, 0.25);
+    //std::cout << cmax << ' ' << cdf(maxdf10, cmax) << std::endl; //  9.32551 0.25
+
+    //RealType cinfc = quantile(complement(infdf10, 0.75));
+    //std::cout << cinfc << ' ' << cdf(infdf10, cinfc) << std::endl; // 9.32551 0.25
+
+    //RealType cmaxc = quantile(complement(maxdf10, 0.75));
+    //std::cout << cmaxc << ' ' << cdf(maxdf10, cmaxc) << std::endl; // 9.32551 0.25
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.5), quantile(maxdf10, 0.5), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.2), quantile(maxdf10, 0.2), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.8), quantile(maxdf10, 0.8), tolerance); //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.25), quantile(complement(infdf10, 0.75)), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(complement(infdf10, 0.5)), quantile(complement(maxdf10, 0.5)), tolerance); //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(maxdf10, 0.25), quantile(complement(maxdf10, 0.75)), tolerance); //
+
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.99), quantile(complement(infdf10, 0.01)), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.4), quantile(complement(infdf10, 0.6)), tolerance); //
+    BOOST_CHECK_CLOSE_FRACTION(quantile(infdf10, 0.01), quantile(complement(infdf10, 1 - 0.01)), tolerance); //
+   }
+} // void test_big_df(RealType)
+
+template <class RealType>
+void test_ignore_policy(RealType)
+{
+   // Check on returns when errors are ignored.
+   if((typeid(RealType) != typeid(boost::math::concepts::real_concept))
+      && std::numeric_limits<RealType>::has_infinity
+      && std::numeric_limits<RealType>::has_quiet_NaN
+      )
+   { // Ordinary floats only.
+
+      using namespace boost::math;
+      //   RealType inf = std::numeric_limits<RealType>::infinity();
+      RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+      using boost::math::policies::policy;
+      // Types of error whose action can be altered by policies:.
+      //using boost::math::policies::evaluation_error;
+      //using boost::math::policies::domain_error;
+      //using boost::math::policies::overflow_error;
+      //using boost::math::policies::underflow_error;
+      //using boost::math::policies::domain_error;
+      //using boost::math::policies::pole_error;
+
+      //// Actions on error (in enum error_policy_type):
+      //using boost::math::policies::errno_on_error;
+      //using boost::math::policies::ignore_error;
+      //using boost::math::policies::throw_on_error;
+      //using boost::math::policies::denorm_error;
+      //using boost::math::policies::pole_error;
+      //using boost::math::policies::user_error;
+
+      typedef policy<
+         boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+         boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+         boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+         boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+         boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+         boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+      > ignore_all_policy;
+
+      typedef non_central_t_distribution<RealType, ignore_all_policy> ignore_error_non_central_t;
+
+      // Only test NaN and infinity if type has these features (realconcept returns zero).
+      // Integers are always converted to RealType,
+      // others requires static cast to RealType from long double.
+
+      if(std::numeric_limits<RealType>::has_quiet_NaN)
+      {
+         // Mean
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(-nan, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(+nan, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(2, nan))));
+         BOOST_CHECK((boost::math::isnan)(mean(ignore_error_non_central_t(nan, nan))));
+         BOOST_CHECK(boost::math::isfinite(mean(ignore_error_non_central_t(2, 0)))); // OK
+
+         // Variance
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(nan, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(1, nan))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(2, nan))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(static_cast<RealType>(1.7L), 0))));
+         BOOST_CHECK((boost::math::isnan)(variance(ignore_error_non_central_t(2, 0))));
+
+         // Skewness
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(std::numeric_limits<RealType>::quiet_NaN(), 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(2, 0))));
+         BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_non_central_t(3, 0))));
+
+         // Kurtosis
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(std::numeric_limits<RealType>::quiet_NaN(), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(2, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(static_cast<RealType>(2.0001L), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(3, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_non_central_t(4, 0))));
+
+         // Kurtosis excess
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(std::numeric_limits<RealType>::quiet_NaN(), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(-1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(0, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(1, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(2, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(static_cast<RealType>(2.0001L), 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(3, 0))));
+         BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_non_central_t(4, 0))));
+      } // has_quiet_NaN
+      BOOST_CHECK(boost::math::isfinite(mean(ignore_error_non_central_t(1 + std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(variance(ignore_error_non_central_t(2 + 2 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(variance(ignore_error_non_central_t(static_cast<RealType>(2.0001L), 0))));
+      BOOST_CHECK(boost::math::isfinite(variance(ignore_error_non_central_t(2 + 2 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(skewness(ignore_error_non_central_t(3 + 3 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_non_central_t(4 + 4 * std::numeric_limits<RealType>::epsilon(), 0))));
+      BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_non_central_t(static_cast<RealType>(4.0001L), 0))));
+
+      // check_out_of_range<non_central_t_distribution<RealType> >(1, 0); // Fails one check because allows df = infinity.
+      check_support<non_central_t_distribution<RealType> >(non_central_t_distribution<RealType>(1, 0));
+   } // ordinary floats.
+} // template <class RealType> void test_ignore_policy(RealType)
diff --git a/src/boost/libs/math/test/test_ncbeta_hooks.hpp b/src/boost/libs/math/test/test_ncbeta_hooks.hpp
new file mode 100644
index 000000000..e81555508
--- /dev/null
+++ b/src/boost/libs/math/test/test_ncbeta_hooks.hpp
@@ -0,0 +1,39 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_NCBETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_NCBETA_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_R
+#define MATHLIB_STANDALONE
+#include <rmath.h>
+namespace other{
+inline float ncbeta_cdf(float a, float b, float nc, float x)
+{ 
+   return (float)pnbeta(x, a, b, nc, 1, 0);
+}
+inline double ncbeta_cdf(double a, double b, double nc, double x)
+{
+   return pnbeta(x, a, b, nc, 1, 0);
+}
+inline long double ncbeta_cdf(long double a, long double b, long double nc, long double x)
+{ 
+   return pnbeta((double)x, (double)a, (double)b, (double)nc, 1, 0);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept ncbeta_cdf(boost::math::concepts::real_concept, boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_nccs_hooks.hpp b/src/boost/libs/math/test/test_nccs_hooks.hpp
new file mode 100644
index 000000000..11225fa56
--- /dev/null
+++ b/src/boost/libs/math/test/test_nccs_hooks.hpp
@@ -0,0 +1,61 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_NCCS_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_NCCS_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_R
+#define MATHLIB_STANDALONE
+#include <rmath.h>
+namespace other{
+inline float nccs_cdf(float df, float nc, float x)
+{ 
+   return (float)pnchisq(x, df, nc, 1, 0);
+}
+inline double nccs_cdf(double df, double nc, double x)
+{
+   return pnchisq(x, df, nc, 1, 0);
+}
+inline long double nccs_cdf(long double df, long double nc, long double x)
+{ 
+   return pnchisq((double)x, (double)df, (double)nc, 1, 0);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_CDFLIB
+#include <cdflib.h>
+namespace other{
+inline double nccs_cdf(double df, double nc, double x)
+{
+   int kind(1), status(0);
+   double p, q, bound(0);
+   cdfchn(&kind, &p, &q, &x, &df, &nc, &status, &bound);
+   return p;
+}
+inline float nccs_cdf(float df, float nc, float x)
+{ 
+   return (double)nccs_cdf((double)df, (double)nc, (double)x);
+}
+inline long double nccs_cdf(long double df, long double nc, long double x)
+{ 
+   return nccs_cdf((double)df, (double)nc, (double)x);
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept nccs_cdf(boost::math::concepts::real_concept, boost::math::concepts::real_concept, boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/test_negative_binomial.cpp b/src/boost/libs/math/test/test_negative_binomial.cpp
new file mode 100644
index 000000000..069ebf879
--- /dev/null
+++ b/src/boost/libs/math/test/test_negative_binomial.cpp
@@ -0,0 +1,861 @@
+// test_negative_binomial.cpp
+
+// Copyright Paul A. Bristow 2007.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests for Negative Binomial Distribution.
+
+// Note that these defines must be placed BEFORE #includes.
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+// because several tests overflow & underflow by design.
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#endif
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#include <boost/math/tools/test.hpp> // for real_concept
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/negative_binomial.hpp> // for negative_binomial_distribution
+using boost::math::negative_binomial_distribution;
+
+#include <boost/math/special_functions/gamma.hpp>
+  using boost::math::lgamma;  // log gamma
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE
+#include "table_type.hpp"
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::setprecision;
+using std::showpoint;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot( // Test a single spot value against 'known good' values.
+               RealType N,    // Number of successes.
+               RealType k,    // Number of failures.
+               RealType p,    // Probability of success_fraction.
+               RealType P,    // CDF probability.
+               RealType Q,    // Complement of CDF.
+               RealType tol)  // Test tolerance.
+{
+   boost::math::negative_binomial_distribution<RealType> bn(N, p);
+   BOOST_CHECK_EQUAL(N, bn.successes());
+   BOOST_CHECK_EQUAL(p, bn.success_fraction());
+   BOOST_CHECK_CLOSE(
+     cdf(bn, k), P, tol);
+
+  if((P < 0.99) && (Q < 0.99))
+  {
+    // We can only check this if P is not too close to 1,
+    // so that we can guarantee that Q is free of error:
+    //
+    BOOST_CHECK_CLOSE(
+      cdf(complement(bn, k)), Q, tol);
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE(
+        quantile(bn, P), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(bn, P) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+    if(k != 0)
+    {
+      BOOST_CHECK_CLOSE(
+        quantile(complement(bn, Q)), k, tol);
+    }
+    else
+    {
+      // Just check quantile is very small:
+      if((std::numeric_limits<RealType>::max_exponent <= std::numeric_limits<double>::max_exponent)
+        && (boost::is_floating_point<RealType>::value))
+      {
+        // Limit where this is checked: if exponent range is very large we may
+        // run out of iterations in our root finding algorithm.
+        BOOST_CHECK(quantile(complement(bn, Q)) < boost::math::tools::epsilon<RealType>() * 10);
+      }
+    }
+    // estimate success ratio:
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+      N+k, N, P),
+      p, tol);
+    // Note we bump up the sample size here, purely for the sake of the test,
+    // internally the function has to adjust the sample size so that we get
+    // the right upper bound, our test undoes this, so we can verify the result.
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+      N+k+1, N, Q),
+      p, tol);
+
+    if(Q < P)
+    {
+       //
+       // We check two things here, that the upper and lower bounds
+       // are the right way around, and that they do actually bracket
+       // the naive estimate of p = successes / (sample size)
+       //
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, Q)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, Q)
+        );
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, Q)
+        <=
+        N / (N+k)
+        );
+      BOOST_CHECK(
+        N / (N+k)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, Q)
+        );
+    }
+    else
+    {
+       // As above but when P is small.
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, P)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, P)
+        );
+      BOOST_CHECK(
+        negative_binomial_distribution<RealType>::find_lower_bound_on_p(
+        N+k, N, P)
+        <=
+        N / (N+k)
+        );
+      BOOST_CHECK(
+        N / (N+k)
+        <=
+        negative_binomial_distribution<RealType>::find_upper_bound_on_p(
+        N+k, N, P)
+        );
+    }
+
+    // Estimate sample size:
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_minimum_number_of_trials(
+      k, p, P),
+      N+k, tol);
+    BOOST_CHECK_CLOSE(
+      negative_binomial_distribution<RealType>::find_maximum_number_of_trials(
+         k, p, Q),
+      N+k, tol);
+
+    // Double check consistency of CDF and PDF by computing the finite sum:
+    RealType sum = 0;
+    for(unsigned i = 0; i <= k; ++i)
+    {
+      sum += pdf(bn, RealType(i));
+    }
+    BOOST_CHECK_CLOSE(sum, P, tol);
+
+    // Complement is not possible since sum is to infinity.
+  } //
+} // test_spot
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, test data is to double precision only
+  // so set tolerance to 1000 eps expressed as a percent, or
+  // 1000 eps of type double expressed as a percent, whichever
+  // is the larger.
+
+  RealType tolerance = (std::max)
+    (boost::math::tools::epsilon<RealType>(),
+    static_cast<RealType>(std::numeric_limits<double>::epsilon()));
+  tolerance *= 100 * 100000.0f;
+
+  cout << "Tolerance = " << tolerance << "%." << endl;
+
+  RealType tol1eps = boost::math::tools::epsilon<RealType>() * 2; // Very tight, suit exact values.
+  //RealType tol2eps = boost::math::tools::epsilon<RealType>() * 2; // Tight, suit exact values.
+  RealType tol5eps = boost::math::tools::epsilon<RealType>() * 5; // Wider 5 epsilon.
+  cout << "Tolerance 5 eps = " << tol5eps << "%." << endl;
+
+  // Sources of spot test values:
+
+  // MathCAD defines pbinom(k, r, p) (at about 64-bit double precision, about 16 decimal digits)
+  // returns pr(X , k) when random variable X has the binomial distribution with parameters r and p.
+  // 0 <= k
+  // r > 0
+  // 0 <= p <= 1
+  // P = pbinom(30, 500, 0.05) = 0.869147702104609
+
+  // And functions.wolfram.com
+
+  using boost::math::negative_binomial_distribution;
+  using  ::boost::math::negative_binomial;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+  // Test negative binomial using cdf spot values from MathCAD cdf = pnbinom(k, r, p).
+  // These test quantiles and complements as well.
+
+  test_spot(  // pnbinom(1,2,0.5) = 0.5
+  static_cast<RealType>(2),   // successes r
+  static_cast<RealType>(1),   // Number of failures, k
+  static_cast<RealType>(0.5), // Probability of success as fraction, p
+  static_cast<RealType>(0.5), // Probability of result (CDF), P
+  static_cast<RealType>(0.5),  // complement CCDF Q = 1 - P
+  tolerance);
+
+  test_spot( // pbinom(0, 2, 0.25)
+  static_cast<RealType>(2),    // successes r
+  static_cast<RealType>(0),    // Number of failures, k
+  static_cast<RealType>(0.25),
+  static_cast<RealType>(0.0625),                    // Probability of result (CDF), P
+  static_cast<RealType>(0.9375),                    // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(48,8,0.25)
+  static_cast<RealType>(8),     // successes r
+  static_cast<RealType>(48),    // Number of failures, k
+  static_cast<RealType>(0.25),                    // Probability of success, p
+  static_cast<RealType>(9.826582228110670E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 9.826582228110670E-1),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(2,5,0.4)
+  static_cast<RealType>(5),     // successes r
+  static_cast<RealType>(2),     // Number of failures, k
+  static_cast<RealType>(0.4),                    // Probability of success, p
+  static_cast<RealType>(9.625600000000020E-2),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 9.625600000000020E-2),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(10,100,0.9)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(10),     // Number of failures, k
+  static_cast<RealType>(0.9),                    // Probability of success, p
+  static_cast<RealType>(4.535522887695670E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 4.535522887695670E-1),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(1,100,0.991)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(1),     // Number of failures, k
+  static_cast<RealType>(0.991),                    // Probability of success, p
+  static_cast<RealType>(7.693413044217000E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 7.693413044217000E-1),   // Q = 1 - P
+  tolerance);
+
+  test_spot(  // pbinom(10,100,0.991)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(10),     // Number of failures, k
+  static_cast<RealType>(0.991),                    // Probability of success, p
+  static_cast<RealType>(9.999999940939000E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 9.999999940939000E-1),   // Q = 1 - P
+  tolerance);
+
+if(std::numeric_limits<RealType>::is_specialized)
+{ // An extreme value test that takes 3 minutes using the real concept type
+  // for which numeric_limits<RealType>::is_specialized == false, deliberately
+  // and for which there is no Lanczos approximation defined (also deliberately)
+  // giving a very slow computation, but with acceptable accuracy.
+  // A possible enhancement might be to use a normal approximation for
+  // extreme values, but this is not implemented.
+  test_spot(  // pbinom(100000,100,0.001)
+  static_cast<RealType>(100),     // successes r
+  static_cast<RealType>(100000),     // Number of failures, k
+  static_cast<RealType>(0.001),                    // Probability of success, p
+  static_cast<RealType>(5.173047534260320E-1),     // Probability of result (CDF), P
+  static_cast<RealType>(1 - 5.173047534260320E-1),   // Q = 1 - P
+  tolerance*1000); // *1000 is OK 0.51730475350664229  versus
+
+  // functions.wolfram.com
+  //   for I[0.001](100, 100000+1) gives:
+  // Wolfram       0.517304753506834882009032744488738352004003696396461766326713
+  // JM nonLanczos 0.51730475350664229 differs at the 13th decimal digit.
+  // MathCAD       0.51730475342603199 differs at 10th decimal digit.
+
+  // Error tests:
+  check_out_of_range<negative_binomial_distribution<RealType> >(20, 0.5);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(0, 0.5), std::domain_error);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(-2, 0.5), std::domain_error);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(20, -0.5), std::domain_error);
+  BOOST_MATH_CHECK_THROW(negative_binomial_distribution<RealType>(20, 1.5), std::domain_error);
+}
+ // End of single spot tests using RealType
+
+
+  // Tests on PDF:
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)),
+  static_cast<RealType>(0) ),  // k = 0.
+  static_cast<RealType>(0.25), // 0
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(4), static_cast<RealType>(0.5)),
+  static_cast<RealType>(0)),  // k = 0.
+  static_cast<RealType>(0.0625), // exact 1/16
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),  // k = 0
+  static_cast<RealType>(9.094947017729270E-13), // pbinom(0,20,0.25) = 9.094947017729270E-13
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.2)),
+  static_cast<RealType>(0)),  // k = 0
+  static_cast<RealType>(1.0485760000000003e-014), // MathCAD 1.048576000000000E-14
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(10), static_cast<RealType>(0.1)),
+  static_cast<RealType>(0)),  // k = 0.
+  static_cast<RealType>(1e-10), // MathCAD says zero, but suffers cancellation error?
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.1)),
+  static_cast<RealType>(0)),  // k = 0.
+  static_cast<RealType>(1e-20), // MathCAD says zero, but suffers cancellation error?
+  tolerance);
+
+
+  BOOST_CHECK_CLOSE( // .
+  pdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.9)),
+  static_cast<RealType>(0)),  // k.
+  static_cast<RealType>(1.215766545905690E-1), // k=20  p = 0.9
+  tolerance);
+
+  // Tests on cdf:
+  // MathCAD pbinom k, r, p) == failures, successes, probability.
+
+  BOOST_CHECK_CLOSE(cdf(
+    negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)), // successes = 2,prob 0.25
+    static_cast<RealType>(0) ), // k = 0
+    static_cast<RealType>(0.25), // probability 1/4
+    tolerance);
+
+  BOOST_CHECK_CLOSE(cdf(complement(
+    negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.5)), // successes = 2,prob 0.25
+    static_cast<RealType>(0) )), // k = 0
+    static_cast<RealType>(0.75), // probability 3/4
+    tolerance);
+  BOOST_CHECK_CLOSE( // k = 1.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1)),  // k =1.
+  static_cast<RealType>(1.455191522836700E-11),
+  tolerance);
+
+  BOOST_CHECK_SMALL( // Check within an epsilon with CHECK_SMALL
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(20), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1)) -
+  static_cast<RealType>(1.455191522836700E-11),
+  tolerance );
+
+  // Some exact (probably - judging by trailing zeros) values.
+  BOOST_CHECK_CLOSE(
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),  // k.
+  static_cast<RealType>(1.525878906250000E-5),
+  tolerance);
+
+  BOOST_CHECK_CLOSE(
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),  // k.
+  static_cast<RealType>(1.525878906250000E-5),
+  tolerance);
+
+  BOOST_CHECK_SMALL(
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)) -
+  static_cast<RealType>(1.525878906250000E-5),
+  tolerance );
+
+  BOOST_CHECK_CLOSE( // k = 1.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1)),  // k.
+  static_cast<RealType>(1.068115234375010E-4),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 2.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(2)),  // k.
+  static_cast<RealType>(4.158020019531300E-4),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 3.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(3)),  // k.bristow
+  static_cast<RealType>(1.188278198242200E-3),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 4.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(4)),  // k.
+  static_cast<RealType>(2.781510353088410E-3),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 5.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(5)),  // k.
+  static_cast<RealType>(5.649328231811500E-3),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 6.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(6)),  // k.
+  static_cast<RealType>(1.030953228473680E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 7.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(7)),  // k.
+  static_cast<RealType>(1.729983836412430E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( // k = 8.
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(8)),  // k = n.
+  static_cast<RealType>(2.712995628826370E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(48)),  // k
+  static_cast<RealType>(9.826582228110670E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(64)),  // k
+  static_cast<RealType>(9.990295004935590E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(5), static_cast<RealType>(0.4)),
+  static_cast<RealType>(26)),  // k
+  static_cast<RealType>(9.989686246611190E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(5), static_cast<RealType>(0.4)),
+  static_cast<RealType>(2)),  // k failures
+  static_cast<RealType>(9.625600000000020E-2),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(50), static_cast<RealType>(0.9)),
+  static_cast<RealType>(20)),  // k
+  static_cast<RealType>(9.999970854144170E-1),
+  tolerance);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(500), static_cast<RealType>(0.7)),
+  static_cast<RealType>(200)),  // k
+  static_cast<RealType>(2.172846379930550E-1),
+  tolerance* 2);
+
+  BOOST_CHECK_CLOSE( //
+  cdf(negative_binomial_distribution<RealType>(static_cast<RealType>(50), static_cast<RealType>(0.7)),
+  static_cast<RealType>(20)),  // k
+  static_cast<RealType>(4.550203671301790E-1),
+  tolerance);
+
+  // Tests of other functions, mean and other moments ...
+
+  negative_binomial_distribution<RealType> dist(static_cast<RealType>(8), static_cast<RealType>(0.25));
+  using namespace std; // ADL of std names.
+  // mean:
+  BOOST_CHECK_CLOSE(
+    mean(dist), static_cast<RealType>(8 * (1 - 0.25) /0.25), tol5eps);
+  BOOST_CHECK_CLOSE(
+    mode(dist), static_cast<RealType>(21), tol1eps);
+  // variance:
+  BOOST_CHECK_CLOSE(
+    variance(dist), static_cast<RealType>(8 * (1 - 0.25) / (0.25 * 0.25)), tol5eps);
+  // std deviation:
+  BOOST_CHECK_CLOSE(
+    standard_deviation(dist), // 9.79795897113271239270
+    static_cast<RealType>(9.797958971132712392789136298823565567864L), // using functions.wolfram.com
+    //                              9.79795897113271152534  == sqrt(8 * (1 - 0.25) / (0.25 * 0.25)))
+    tol5eps * 100);
+  BOOST_CHECK_CLOSE(
+    skewness(dist), //
+    static_cast<RealType>(0.71443450831176036),
+    // using http://mathworld.wolfram.com/skewness.html
+    tolerance);
+  BOOST_CHECK_CLOSE(
+    kurtosis_excess(dist), //
+    static_cast<RealType>(0.7604166666666666666666666666666666666666L), // using Wikipedia Kurtosis(excess) formula
+    tol5eps * 100);
+  BOOST_CHECK_CLOSE(
+    kurtosis(dist), // true 
+    static_cast<RealType>(3.76041666666666666666666666666666666666666L), // 
+    tol5eps * 100);
+  // hazard:
+  RealType x = static_cast<RealType>(0.125);
+  BOOST_CHECK_CLOSE(
+  hazard(dist, x)
+  , pdf(dist, x) / cdf(complement(dist, x)), tol5eps);
+  // cumulative hazard:
+  BOOST_CHECK_CLOSE(
+  chf(dist, x), -log(cdf(complement(dist, x))), tol5eps);
+  // coefficient_of_variation:
+  BOOST_CHECK_CLOSE(
+  coefficient_of_variation(dist)
+  , standard_deviation(dist) / mean(dist), tol5eps);
+
+  // Special cases for PDF:
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)), //
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+  static_cast<RealType>(0.001)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_EQUAL(
+  pdf(
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1)),
+  static_cast<RealType>(8)),
+  static_cast<RealType>(0) );
+
+  BOOST_CHECK_SMALL(
+  pdf(
+   negative_binomial_distribution<RealType>(static_cast<RealType>(2), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0))-
+  static_cast<RealType>(0.0625),
+  2 * boost::math::tools::epsilon<RealType>() ); // Expect exact, but not quite.
+  // numeric_limits<RealType>::epsilon()); // Not suitable for real concept!
+
+  // Quantile boundary cases checks:
+  BOOST_CHECK_EQUAL(
+  quantile(  // zero P < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_EQUAL(
+  quantile(  // min P < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())),
+  static_cast<RealType>(0));
+
+  BOOST_CHECK_CLOSE_FRACTION(
+  quantile(  // Small P < cdf(0) so should be near zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::epsilon<RealType>())), // 
+  static_cast<RealType>(0),
+    tol5eps);
+
+  BOOST_CHECK_CLOSE(
+  quantile(  // Small P < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0.0001)),
+  static_cast<RealType>(0.95854156929288470),
+    tolerance);
+
+  //BOOST_CHECK(  // Fails with overflow for real_concept
+  //quantile(  // Small P near 1 so k failures should be big.
+  //negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  //static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>())) <=
+  //static_cast<RealType>(189.56999032670058)  // 106.462769 for float
+  //);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_THROW_ON_OVERFLOW_POLICY ==  throw_on_error would throw here.
+    // #define BOOST_MAT_DOMAIN_ERROR_POLICY IS defined throw_on_error,
+    //  so the throw path of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_CHECK(
+    quantile(  // At P == 1 so k failures should be infinite.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)) ==
+    //static_cast<RealType>(boost::math::tools::infinity<RealType>())
+    static_cast<RealType>(std::numeric_limits<RealType>::infinity()) );
+
+    BOOST_CHECK_EQUAL(
+    quantile(  // At 1 == P  so should be infinite.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)), //
+    std::numeric_limits<RealType>::infinity() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    std::numeric_limits<RealType>::infinity() );
+   } // test for infinity using std::numeric_limits<>::infinity()
+  else
+  { // real_concept case, so check it throws rather than returning infinity.
+    BOOST_CHECK_EQUAL(
+    quantile(  // At P == 1 so k failures should be infinite.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1)),
+    boost::math::tools::max_value<RealType>() );
+
+    BOOST_CHECK_EQUAL(
+    quantile(complement(  // Q zero 1 so P == 1 < cdf(0) so should be exactly infinity.
+    negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0))),
+    boost::math::tools::max_value<RealType>());
+  }
+  BOOST_CHECK( // Should work for built-in and real_concept.
+  quantile(complement(  // Q very near to 1 so P nearly 1  < so should be large > 384.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(boost::math::tools::min_value<RealType>())))
+   >= static_cast<RealType>(384) );
+
+  BOOST_CHECK_EQUAL(
+  quantile(  //  P ==  0 < cdf(0) so should be zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)),
+  static_cast<RealType>(0));
+
+  // Quantile Complement boundary cases:
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q = 1 so P = 0 < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1))),
+  static_cast<RealType>(0)
+  );
+
+  BOOST_CHECK_EQUAL(
+  quantile(complement(  // Q very near 1 so P == epsilon < cdf(0) so should be exactly zero.
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(1 - boost::math::tools::epsilon<RealType>()))),
+  static_cast<RealType>(0)
+  );
+
+  // Check that duff arguments throw domain_error:
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative successes!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(-1), static_cast<RealType>(0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative success_fraction!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Success_fraction > 1!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)),
+  std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  pdf( // Negative k argument !
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error
+  );
+  //BOOST_MATH_CHECK_THROW(
+  //pdf( // Unlike binomial there is NO limit on k (failures)
+  //negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  //static_cast<RealType>(9)), std::domain_error
+  //);
+  BOOST_MATH_CHECK_THROW(
+  cdf(  // Negative k argument !
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(0.25)),
+  static_cast<RealType>(-1)),
+  std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Negative success_fraction!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  cdf( // Success_fraction > 1!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  quantile(  // Negative success_fraction!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(-0.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  BOOST_MATH_CHECK_THROW(
+  quantile( // Success_fraction > 1!
+  negative_binomial_distribution<RealType>(static_cast<RealType>(8), static_cast<RealType>(1.25)),
+  static_cast<RealType>(0)), std::domain_error
+  );
+  // End of check throwing 'duff' out-of-domain values.
+
+#define T RealType
+#include "negative_binomial_quantile.ipp"
+
+  for(unsigned i = 0; i < negative_binomial_quantile_data.size(); ++i)
+  {
+     using namespace boost::math::policies;
+     typedef policy<discrete_quantile<boost::math::policies::real> > P1;
+     typedef policy<discrete_quantile<integer_round_down> > P2;
+     typedef policy<discrete_quantile<integer_round_up> > P3;
+     typedef policy<discrete_quantile<integer_round_outwards> > P4;
+     typedef policy<discrete_quantile<integer_round_inwards> > P5;
+     typedef policy<discrete_quantile<integer_round_nearest> > P6;
+     RealType tol = boost::math::tools::epsilon<RealType>() * 700;
+     if(!boost::is_floating_point<RealType>::value)
+        tol *= 10;  // no lanczos approximation implies less accuracy
+     //
+     // Check full real value first:
+     //
+     negative_binomial_distribution<RealType, P1> p1(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     RealType x = quantile(p1, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_CLOSE_FRACTION(x, negative_binomial_quantile_data[i][3], tol);
+     x = quantile(complement(p1, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_CLOSE_FRACTION(x, negative_binomial_quantile_data[i][4], tol);
+     //
+     // Now with round down to integer:
+     //
+     negative_binomial_distribution<RealType, P2> p2(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p2, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p2, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round up to integer:
+     //
+     negative_binomial_distribution<RealType, P3> p3(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p3, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, ceil(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p3, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, ceil(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round to integer "outside":
+     //
+     negative_binomial_distribution<RealType, P4> p4(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p4, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? floor(negative_binomial_quantile_data[i][3]) : ceil(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p4, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? ceil(negative_binomial_quantile_data[i][4]) : floor(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round to integer "inside":
+     //
+     negative_binomial_distribution<RealType, P5> p5(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p5, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? ceil(negative_binomial_quantile_data[i][3]) : floor(negative_binomial_quantile_data[i][3]));
+     x = quantile(complement(p5, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, negative_binomial_quantile_data[i][2] < 0.5f ? floor(negative_binomial_quantile_data[i][4]) : ceil(negative_binomial_quantile_data[i][4]));
+     //
+     // Now with round to nearest integer:
+     //
+     negative_binomial_distribution<RealType, P6> p6(negative_binomial_quantile_data[i][0], negative_binomial_quantile_data[i][1]);
+     x = quantile(p6, negative_binomial_quantile_data[i][2]);
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][3] + 0.5f));
+     x = quantile(complement(p6, negative_binomial_quantile_data[i][2]));
+     BOOST_CHECK_EQUAL(x, floor(negative_binomial_quantile_data[i][4] + 0.5f));
+  }
+
+  return;
+} // template <class RealType> void test_spots(RealType) // Any floating-point type RealType.
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate negative_binomial distribution using the two convenience methods:
+  using namespace boost::math;
+   negative_binomial mynb1(2., 0.5); // Using typedef - default type is double.
+   negative_binomial_distribution<> myf2(2., 0.5); // Using default RealType double.
+
+  // Basic sanity-check spot values.
+
+  // Test some simple double only examples.
+  negative_binomial_distribution<double> my8dist(8., 0.25);
+  // 8 successes (r), 0.25 success fraction = 35% or 1 in 4 successes.
+  // Note: double values (matching the distribution definition) avoid the need for any casting.
+
+  // Check accessor functions return exact values for double at least.
+  BOOST_CHECK_EQUAL(my8dist.successes(), static_cast<double>(8));
+  BOOST_CHECK_EQUAL(my8dist.success_fraction(), static_cast<double>(1./4.));
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+#ifdef TEST_FLOAT
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#ifdef TEST_LDOUBLE
+  test_spots(0.0L); // Test long double.
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+  #endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_negative_binomial.exe"
+Running 1 test case...
+Tolerance = 0.0119209%.
+Tolerance 5 eps = 5.96046e-007%.
+Tolerance = 2.22045e-011%.
+Tolerance 5 eps = 1.11022e-015%.
+Tolerance = 2.22045e-011%.
+Tolerance 5 eps = 1.11022e-015%.
+Tolerance = 2.22045e-011%.
+Tolerance 5 eps = 1.11022e-015%.
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_next.cpp b/src/boost/libs/math/test/test_next.cpp
new file mode 100644
index 000000000..4546541d3
--- /dev/null
+++ b/src/boost/libs/math/test/test_next.cpp
@@ -0,0 +1,273 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/ulp.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+#if !defined(_CRAYC) && !defined(__CUDACC__) && (!defined(__GNUC__) || (__GNUC__ > 3) || ((__GNUC__ == 3) && (__GNUC_MINOR__ > 3)))
+#if (defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || defined(__SSE2__) || defined(TEST_SSE2)
+#include <float.h>
+#include "xmmintrin.h"
+#define TEST_SSE2
+#endif
+#endif
+
+
+template <class T>
+void test_value(const T& val, const char* name)
+{
+   using namespace boost::math;
+   T upper = tools::max_value<T>();
+   T lower = -upper;
+
+   std::cout << "Testing type " << name << " with initial value " << val << std::endl;
+
+   BOOST_CHECK_EQUAL(float_distance(float_next(val), val), -1);
+   BOOST_CHECK(float_next(val) > val);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(val), val), 1);
+   BOOST_CHECK(float_prior(val) < val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, upper), val), -1);
+   BOOST_CHECK((boost::math::nextafter)(val, upper) > val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, lower), val), 1);
+   BOOST_CHECK((boost::math::nextafter)(val, lower) < val);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_next(val)), val), -2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), val), 2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), float_next(float_next(val))), 4);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_next(val)), val), 0);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_prior(val)), val), 0);
+   BOOST_CHECK_EQUAL(float_prior(float_next(val)), val);
+   BOOST_CHECK_EQUAL(float_next(float_prior(val)), val);
+
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, 4), val), -4);
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, -4), val), 4);
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present))
+   {
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), 4), float_next(float_next(val))), -4);
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), -4), float_next(float_next(val))), 4);
+   }
+   if(val > 0)
+   {
+      T n = val + ulp(val);
+      T fn = float_next(val);
+      if(n > fn)
+      {
+         BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(fn, n);
+      }
+   }
+   else if(val == 0)
+   {
+      BOOST_CHECK_GE(boost::math::tools::min_value<T>(), ulp(val));
+   }
+   else
+   {
+      T n = val - ulp(val);
+      T fp = float_prior(val);
+      if(n < fp)
+      {
+         BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(fp, n);
+      }
+   }
+}
+
+template <class T>
+void test_values(const T& val, const char* name)
+{
+   static const T a = static_cast<T>(1.3456724e22);
+   static const T b = static_cast<T>(1.3456724e-22);
+   static const T z = 0;
+   static const T one = 1;
+   static const T two = 2;
+
+   std::cout << "Testing type " << name << std::endl;
+
+   T den = (std::numeric_limits<T>::min)() / 4;
+   if(den != 0)
+   {
+      std::cout << "Denormals are active\n";
+   }
+   else
+   {
+      std::cout << "Denormals are flushed to zero.\n";
+   }
+
+   test_value(a, name);
+   test_value(-a, name);
+   test_value(b, name);
+   test_value(-b, name);
+   test_value(boost::math::tools::epsilon<T>(), name);
+   test_value(-boost::math::tools::epsilon<T>(), name);
+   test_value(boost::math::tools::min_value<T>(), name);
+   test_value(-boost::math::tools::min_value<T>(), name);
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(z, name);
+      test_value(-z, name);
+   }
+   test_value(one, name);
+   test_value(-one, name);
+   test_value(two, name);
+   test_value(-two, name);
+#if defined(TEST_SSE2)
+   if((_mm_getcsr() & (_MM_FLUSH_ZERO_ON | 0x40)) == 0)
+   {
+#endif
+      if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+      {
+         test_value(std::numeric_limits<T>::denorm_min(), name);
+         test_value(-std::numeric_limits<T>::denorm_min(), name);
+         test_value(2 * std::numeric_limits<T>::denorm_min(), name);
+         test_value(-2 * std::numeric_limits<T>::denorm_min(), name);
+      }
+#if defined(TEST_SSE2)
+   }
+#endif
+   static const int primes[] = {
+      11,     13,     17,     19,     23,     29, 
+      31,     37,     41,     43,     47,     53,     59,     61,     67,     71, 
+      73,     79,     83,     89,     97,    101,    103,    107,    109,    113, 
+      127,    131,    137,    139,    149,    151,    157,    163,    167,    173, 
+      179,    181,    191,    193,    197,    199,    211,    223,    227,    229, 
+      233,    239,    241,    251,    257,    263,    269,    271,    277,    281, 
+      283,    293,    307,    311,    313,    317,    331,    337,    347,    349, 
+      353,    359,    367,    373,    379,    383,    389,    397,    401,    409, 
+      419,    421,    431,    433,    439,    443,    449,    457,    461,    463, 
+   };
+
+   for(unsigned i = 0; i < sizeof(primes)/sizeof(primes[0]); ++i)
+   {
+      T v1 = val;
+      T v2 = val;
+      for(int j = 0; j < primes[i]; ++j)
+      {
+         v1 = boost::math::float_next(v1);
+         v2 = boost::math::float_prior(v2);
+      }
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v1, val), -primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v2, val), primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, primes[i]), v1);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, -primes[i]), v2);
+   }
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_infinity))
+   {
+      BOOST_CHECK_EQUAL(boost::math::float_prior(std::numeric_limits<T>::infinity()), (std::numeric_limits<T>::max)());
+      BOOST_CHECK_EQUAL(boost::math::float_next(-std::numeric_limits<T>::infinity()), -(std::numeric_limits<T>::max)());
+      BOOST_MATH_CHECK_THROW(boost::math::float_prior(-std::numeric_limits<T>::infinity()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits<T>::infinity()), std::domain_error);
+      if(boost::math::policies:: BOOST_MATH_OVERFLOW_ERROR_POLICY == boost::math::policies::throw_on_error)
+      {
+         BOOST_MATH_CHECK_THROW(boost::math::float_prior(-(std::numeric_limits<T>::max)()), std::overflow_error);
+         BOOST_MATH_CHECK_THROW(boost::math::float_next((std::numeric_limits<T>::max)()), std::overflow_error);
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(boost::math::float_prior(-(std::numeric_limits<T>::max)()), -std::numeric_limits<T>::infinity());
+         BOOST_CHECK_EQUAL(boost::math::float_next((std::numeric_limits<T>::max)()), std::numeric_limits<T>::infinity());
+      }
+   }
+   //
+   // We need to test float_distance over multiple orders of magnitude,
+   // the only way to get an accurate true result is to count the representations
+   // between the two end points, but we can only really do this for type float:
+   //
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::digits < 30) && (std::numeric_limits<T>::radix == 2))
+   {
+      T left, right, dist, fresult;
+      boost::uintmax_t result;
+
+      left = static_cast<T>(0.1);
+      right = left * static_cast<T>(4.2);
+      dist = boost::math::float_distance(left, right);
+      // We have to use a wider integer type for the accurate count, since there
+      // aren't enough bits in T to get a true result if the values differ
+      // by more than a factor of 2:
+      result = 0;
+      for (; left != right; ++result, left = boost::math::float_next(left));
+      fresult = static_cast<T>(result);
+      BOOST_CHECK_EQUAL(fresult, dist);
+
+      left = static_cast<T>(-0.1);
+      right = left * static_cast<T>(4.2);
+      dist = boost::math::float_distance(right, left);
+      result = 0;
+      for (; left != right; ++result, left = boost::math::float_prior(left));
+      fresult = static_cast<T>(result);
+      BOOST_CHECK_EQUAL(fresult, dist);
+
+      left = static_cast<T>(-1.1) * (std::numeric_limits<T>::min)();
+      right = static_cast<T>(-4.1) * left;
+      dist = boost::math::float_distance(left, right);
+      result = 0;
+      for (; left != right; ++result, left = boost::math::float_next(left));
+      fresult = static_cast<T>(result);
+      BOOST_CHECK_EQUAL(fresult, dist);
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_values(1.0L, "long double");
+   test_values(boost::math::concepts::real_concept(0), "real_concept");
+#endif
+
+   //
+   // Test some multiprecision types:
+   //
+   test_values(boost::multiprecision::cpp_bin_float_quad(0), "cpp_bin_float_quad");
+   // This is way to slow to test routinely:
+   //test_values(boost::multiprecision::cpp_bin_float_single(0), "cpp_bin_float_single");
+   test_values(boost::multiprecision::cpp_bin_float_50(0), "cpp_bin_float_50");
+
+#if defined(TEST_SSE2)
+
+   int mmx_flags = _mm_getcsr(); // We'll restore these later.
+
+#ifdef _WIN32
+   // These tests fail pretty badly on Linux x64, especially with Intel-12.1
+   _MM_SET_FLUSH_ZERO_MODE(_MM_FLUSH_ZERO_ON);
+   std::cout << "Testing again with Flush-To-Zero set" << std::endl;
+   std::cout << "SSE2 control word is: " << std::hex << _mm_getcsr() << std::endl;
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+   _MM_SET_FLUSH_ZERO_MODE(_MM_FLUSH_ZERO_OFF);
+#endif
+   BOOST_ASSERT((_mm_getcsr() & 0x40) == 0);
+   _mm_setcsr(_mm_getcsr() | 0x40);
+   std::cout << "Testing again with Denormals-Are-Zero set" << std::endl;
+   std::cout << "SSE2 control word is: " << std::hex << _mm_getcsr() << std::endl;
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+
+   // Restore the MMX flags:
+   _mm_setcsr(mmx_flags);
+#endif
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_next_decimal.cpp b/src/boost/libs/math/test/test_next_decimal.cpp
new file mode 100644
index 000000000..ee3b797e1
--- /dev/null
+++ b/src/boost/libs/math/test/test_next_decimal.cpp
@@ -0,0 +1,207 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/tools/test.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/ulp.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <boost/multiprecision/debug_adaptor.hpp>
+#include <iostream>
+#include <iomanip>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class T>
+bool is_normalized_value(const T& val)
+{
+   //
+   // Returns false if value has guard digits that are non-zero
+   //
+   boost::intmax_t shift = std::numeric_limits<T>::digits - ilogb(val) - 1;
+   T shifted = scalbn(val, shift);
+   return floor(shifted) == shifted;
+}
+
+template <class T>
+void test_value(const T& val, const char* name)
+{
+   using namespace boost::math;
+   T upper = tools::max_value<T>();
+   T lower = -upper;
+
+   std::cout << "Testing type " << name << " with initial value " << val << std::endl;
+
+   BOOST_CHECK_EQUAL(float_distance(float_next(val), val), -1);
+   BOOST_CHECK(float_next(val) > val);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(val), val), 1);
+   BOOST_CHECK(float_prior(val) < val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, upper), val), -1);
+   BOOST_CHECK((boost::math::nextafter)(val, upper) > val);
+   BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, lower), val), 1);
+   BOOST_CHECK((boost::math::nextafter)(val, lower) < val);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_next(val)), val), -2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), val), 2);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), float_next(float_next(val))), 4);
+   BOOST_CHECK_EQUAL(float_distance(float_prior(float_next(val)), val), 0);
+   BOOST_CHECK_EQUAL(float_distance(float_next(float_prior(val)), val), 0);
+   if (is_normalized_value(val))
+   {
+      BOOST_CHECK_EQUAL(float_prior(float_next(val)), val);
+      BOOST_CHECK_EQUAL(float_next(float_prior(val)), val);
+   }
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, 4), val), -4);
+   BOOST_CHECK_EQUAL(float_distance(float_advance(val, -4), val), 4);
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present))
+   {
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), 4), float_next(float_next(val))), -4);
+      BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), -4), float_next(float_next(val))), 4);
+   }
+   if (is_normalized_value(val))
+   {
+      if (val > 0)
+      {
+         T n = val + ulp(val);
+         T fn = float_next(val);
+         if (n > fn)
+         {
+            BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+         }
+         else
+         {
+            BOOST_CHECK_EQUAL(fn, n);
+         }
+      }
+      else if (val == 0)
+      {
+         BOOST_CHECK_GE(boost::math::tools::min_value<T>(), ulp(val));
+      }
+      else
+      {
+         T n = val - ulp(val);
+         T fp = float_prior(val);
+         if (n < fp)
+         {
+            BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
+         }
+         else
+         {
+            BOOST_CHECK_EQUAL(fp, n);
+         }
+      }
+   }
+}
+
+template <class T>
+void test_values(const T& val, const char* name)
+{
+   static const T a = boost::lexical_cast<T>("1.3456724e22");
+   static const T b = boost::lexical_cast<T>("1.3456724e-22");
+   static const T z = 0;
+   static const T one = 1;
+   static const T radix = std::numeric_limits<T>::radix;
+
+   std::cout << "Testing type " << name << std::endl;
+
+   T den = (std::numeric_limits<T>::min)() / 4;
+   if(den != 0)
+   {
+      std::cout << "Denormals are active\n";
+   }
+   else
+   {
+      std::cout << "Denormals are flushed to zero.\n";
+   }
+
+   test_value(a, name);
+   test_value(T(-a), name);
+   test_value(b, name);
+   test_value(T(-b), name);
+   test_value(T(b / 3), name);
+   test_value(T(-b / 3), name);
+   test_value(boost::math::tools::epsilon<T>(), name);
+   test_value(T(-boost::math::tools::epsilon<T>()), name);
+   test_value(boost::math::tools::min_value<T>(), name);
+   test_value(T(-boost::math::tools::min_value<T>()), name);
+   if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(z, name);
+      test_value(T(-z), name);
+   }
+   test_value(one, name);
+   test_value(T(-one), name);
+   test_value(radix, name);
+   test_value(T(-radix), name);
+
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
+   {
+      test_value(std::numeric_limits<T>::denorm_min(), name);
+      test_value(T(-std::numeric_limits<T>::denorm_min()), name);
+      test_value(T(2 * std::numeric_limits<T>::denorm_min()), name);
+      test_value(T(-2 * std::numeric_limits<T>::denorm_min()), name);
+   }
+
+   static const int primes[] = {
+      11,     13,     17,     19,     23,     29, 
+      31,     37,     41,     43,     47,     53,     59,     61,     67,     71, 
+      73,     79,     83,     89,     97,    101,    103,    107,    109,    113, 
+      127,    131,    137,    139,    149,    151,    157,    163,    167,    173, 
+      179,    181,    191,    193,    197,    199,    211,    223,    227,    229, 
+      233,    239,    241,    251,    257,    263,    269,    271,    277,    281, 
+      283,    293,    307,    311,    313,    317,    331,    337,    347,    349, 
+      353,    359,    367,    373,    379,    383,    389,    397,    401,    409, 
+      419,    421,    431,    433,    439,    443,    449,    457,    461,    463, 
+   };
+
+   for(unsigned i = 0; i < sizeof(primes)/sizeof(primes[0]); ++i)
+   {
+      T v1 = val;
+      T v2 = val;
+      for(int j = 0; j < primes[i]; ++j)
+      {
+         v1 = boost::math::float_next(v1);
+         v2 = boost::math::float_prior(v2);
+      }
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v1, val), -primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_distance(v2, val), primes[i]);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, primes[i]), v1);
+      BOOST_CHECK_EQUAL(boost::math::float_advance(val, -primes[i]), v2);
+   }
+   if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_infinity))
+   {
+      BOOST_CHECK_EQUAL(boost::math::float_prior(std::numeric_limits<T>::infinity()), (std::numeric_limits<T>::max)());
+      BOOST_CHECK_EQUAL(boost::math::float_next(-std::numeric_limits<T>::infinity()), -(std::numeric_limits<T>::max)());
+      BOOST_MATH_CHECK_THROW(boost::math::float_prior(-std::numeric_limits<T>::infinity()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits<T>::infinity()), std::domain_error);
+      if(boost::math::policies:: BOOST_MATH_OVERFLOW_ERROR_POLICY == boost::math::policies::throw_on_error)
+      {
+         BOOST_MATH_CHECK_THROW(boost::math::float_prior(-(std::numeric_limits<T>::max)()), std::overflow_error);
+         BOOST_MATH_CHECK_THROW(boost::math::float_next((std::numeric_limits<T>::max)()), std::overflow_error);
+      }
+      else
+      {
+         BOOST_CHECK_EQUAL(boost::math::float_prior(-(std::numeric_limits<T>::max)()), -std::numeric_limits<T>::infinity());
+         BOOST_CHECK_EQUAL(boost::math::float_next((std::numeric_limits<T>::max)()), std::numeric_limits<T>::infinity());
+      }
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Very slow, but debuggable:
+   //test_values(boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::cpp_dec_float_50::backend_type> >(0), "cpp_dec_float_50");
+   
+   // Faster, but no good for diagnosing the cause of any issues:
+   test_values(boost::multiprecision::cpp_dec_float_50(0), "cpp_dec_float_50");
+}
+
+
diff --git a/src/boost/libs/math/test/test_nonfinite_io.cpp b/src/boost/libs/math/test/test_nonfinite_io.cpp
new file mode 100644
index 000000000..b91754981
--- /dev/null
+++ b/src/boost/libs/math/test/test_nonfinite_io.cpp
@@ -0,0 +1,342 @@
+
+// Copyright 2011 Paul A. Bristow 
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_nonfinite_trap.cpp
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // Expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include <libs/math/test/almost_equal.ipp> // Similar to BOOST_CLOSE_FRACTION.
+#include <libs/math/test/s_.ipp> // To create test strings like std::basic_string<CharType> s = S_("0 -0"); 
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+#include <locale>
+#include <sstream>
+#include <iomanip>
+
+namespace {
+
+// Using an anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using (boost::math::isnan)(;
+
+//------------------------------------------------------------------------------
+// Test nonfinite_num_put and nonfinite_num_get facets by checking
+// loopback (output and re-input) of a few values,
+// but using all the built-in char and floating-point types.
+// Only the default output is used but various ostream options are tested separately below.
+// Finite, infinite and NaN values (positive and negative) are used for the test.
+
+void trap_test_finite();
+void trap_test_inf();
+void trap_test_nan();
+
+BOOST_AUTO_TEST_CASE(trap_test)
+{
+    trap_test_finite();
+    trap_test_inf();
+    trap_test_nan();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_finite_impl();
+
+void trap_test_finite()
+{ // Test finite using all the built-in char and floating-point types.
+    trap_test_finite_impl<char, float>();
+    trap_test_finite_impl<char, double>();
+    trap_test_finite_impl<char, long double>();
+    trap_test_finite_impl<wchar_t, float>();
+    trap_test_finite_impl<wchar_t, double>();
+    trap_test_finite_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_finite_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity | trap_nan));
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity | trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = (ValType)1.2;
+    ValType a2 = (ValType)-3.5;
+    ValType a3 = (std::numeric_limits<ValType>::max)();
+    ValType a4 = -(std::numeric_limits<ValType>::max)();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4; // 1.2, -3.5, max, -max
+
+    ValType b1, b2, b3, b4;
+    ss >> b1 >> b2 >> b3 >> b4;
+
+    BOOST_CHECK(almost_equal(b1, a1));
+    BOOST_CHECK(almost_equal(b2, a2));
+    BOOST_CHECK(almost_equal(b3, a3));
+    BOOST_CHECK(almost_equal(b4, a4));
+    BOOST_CHECK(b3 != std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(b4 != -std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ss << "++5";
+    ValType b5;
+    ss >> b5;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_inf_impl();
+template<class CharType, class ValType> void trap_test_put_inf_impl();
+template<class CharType, class ValType> void trap_test_get_inf_impl();
+
+void trap_test_inf()
+{ // Test infinity using all the built-in char and floating-point types.
+    trap_test_inf_impl<char, float>();
+    trap_test_inf_impl<char, double>();
+    trap_test_inf_impl<char, long double>();
+    trap_test_inf_impl<wchar_t, float>();
+    trap_test_inf_impl<wchar_t, double>();
+    trap_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_inf_impl()
+{
+    trap_test_put_inf_impl<CharType, ValType>();
+    trap_test_get_inf_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_inf_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_inf_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_nan_impl();
+template<class CharType, class ValType> void trap_test_put_nan_impl();
+template<class CharType, class ValType> void trap_test_get_nan_impl();
+
+void trap_test_nan()
+{ // Test NaN using all the built-in char and floating-point types.
+    trap_test_nan_impl<char, float>();
+    trap_test_nan_impl<char, double>();
+    trap_test_nan_impl<char, long double>();
+    trap_test_nan_impl<wchar_t, float>();
+    trap_test_nan_impl<wchar_t, double>();
+    trap_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_nan_impl()
+{
+    trap_test_put_nan_impl<CharType, ValType>();
+    trap_test_get_nan_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_nan_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_nan_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+// Test a selection of stream output options comparing result with expected string.
+// Only uses CharType = char and ValType  = double.
+// Other types have already been tested above.
+
+#define CHECKOUT(manips, expected)\
+  {\
+  std::locale old_locale;\
+  std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(0)); /* default flags. */\
+  std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);\
+  std::ostringstream ss;\
+  ss.imbue(new_locale);\
+  ss << manips;\
+  std::basic_string<char> s = S_(expected);\
+  BOOST_CHECK_EQUAL(ss.str(), s);\
+  }\
+
+ BOOST_AUTO_TEST_CASE(check_trap_nan)
+  { // Check that with trap_nan set, it really does throw exception.
+  std::locale old_locale;
+  std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(trap_nan));
+  std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);
+  std::ostringstream os;
+  os.imbue(new_locale);
+  os.exceptions(std::ios_base::badbit | std::ios_base::failbit); // Enable throwing exceptions.
+  double nan =  std::numeric_limits<double>::quiet_NaN();
+  BOOST_MATH_CHECK_THROW((os << nan), std::runtime_error);
+  // warning : in "check_trap_nan": exception std::runtime_error is expected
+ } //  BOOST_AUTO_TEST_CASE(check_trap_nan)
+
+ BOOST_AUTO_TEST_CASE(check_trap_inf)
+  { // Check that with trap_nan set, it really does throw exception.
+  std::locale old_locale;
+  std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(trap_infinity));
+  std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);
+  std::ostringstream os;
+  os.imbue(new_locale);
+  os.exceptions(std::ios_base::badbit | std::ios_base::failbit); // Enable throwing exceptions.
+  double inf =  std::numeric_limits<double>::infinity();
+  BOOST_MATH_CHECK_THROW((os << inf), std::runtime_error);
+  // warning : in "check_trap_inf": exception std::runtime_error is expected.
+ 
+ } //  BOOST_AUTO_TEST_CASE(check_trap_nan_inf)
+
+ BOOST_AUTO_TEST_CASE(output_tests)
+  {
+    // Positive zero.
+    CHECKOUT(0, "0"); // integer zero.
+    CHECKOUT(0., "0"); // double zero.
+
+    double nan =  std::numeric_limits<double>::quiet_NaN();
+    double inf =  std::numeric_limits<double>::infinity();
+
+    CHECKOUT(inf, "inf"); // infinity.
+    CHECKOUT(-inf, "-inf"); // infinity.
+    CHECKOUT(std::showpos << inf, "+inf"); // infinity.
+
+    CHECKOUT(std::setw(6) << std::showpos << inf, "  +inf"); // infinity.
+    CHECKOUT(std::right << std::setw(6) << std::showpos << inf, "  +inf"); // infinity.
+    CHECKOUT(std::left << std::setw(6) << std::showpos << inf, "+inf  "); // infinity.
+    CHECKOUT(std::left << std::setw(6) << std::setprecision(6) << inf, "inf   "); // infinity.
+    CHECKOUT(std::left << std::setw(6) << std::setfill('*') << std::setprecision(6) << inf, "inf***"); // infinity.
+    CHECKOUT(std::right << std::setw(6) << std::setfill('*') << std::setprecision(6) << inf, "***inf"); // infinity.
+    CHECKOUT(std::internal<< std::setw(6) << std::showpos << inf, "+  inf"); // infinity.
+    CHECKOUT(std::internal<< std::setw(6) << std::setfill('*') << std::showpos << inf, "+**inf"); // infinity.
+    CHECKOUT(std::internal<< std::setw(6) << std::setfill('*') << std::showpos << -inf, "-**inf"); // infinity.
+
+    CHECKOUT(nan, "nan"); // nan
+    CHECKOUT(std::setw(1) << nan, "nan"); // nan, even if width was too small.
+    CHECKOUT(std::setprecision(10) << nan, "nan"); // setprecision has no effect.
+ }  //  BOOST_AUTO_TEST_CASE(output_tests)
+ 
+}   // anonymous namespace
+
+/*
+
+Output:
+
+test_nonfinite_io.cpp
+  test_nonfinite_io.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_nonfinite_io.exe
+  Running 4 test cases...
+  Platform: Win32
+  Compiler: Microsoft Visual C++ version 10.0
+  STL     : Dinkumware standard library version 520
+  Boost   : 1.49.0
+  Entering test suite "Master Test Suite"
+  Entering test case "trap_test"
+  Leaving test case "trap_test"; testing time: 7ms
+  Entering test case "check_trap_nan"
+  Leaving test case "check_trap_nan"
+  Entering test case "check_trap_inf"
+  Leaving test case "check_trap_inf"; testing time: 1ms
+  Entering test case "output_tests"
+  Leaving test case "output_tests"; testing time: 3ms
+  Leaving test suite "Master Test Suite"
+  
+  *** No errors detected
+
+*/
+
diff --git a/src/boost/libs/math/test/test_nonfinite_trap.cpp b/src/boost/libs/math/test/test_nonfinite_trap.cpp
new file mode 100644
index 000000000..40736fc9d
--- /dev/null
+++ b/src/boost/libs/math/test/test_nonfinite_trap.cpp
@@ -0,0 +1,239 @@
+// Copyright (c) 2006 Johan Rade
+// Copyright (c) 2011 Paul A. Bristow To incorporate into Boost.Math
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_nonfinite_trap.cpp
+
+#ifdef _MSC_VER
+#   pragma warning(disable : 4702)
+#endif
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include "almost_equal.ipp" // Similar to BOOST_CLOSE_FRACTION.
+#include "s_.ipp" // To create test strings like std::basic_string<CharType> s = S_("0 -0"); 
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+
+#include <locale>
+#include <sstream>
+
+namespace {
+
+// Using an anonymous namespace resolves ambiguities on platforms
+// with fpclassify etc functions at global scope.
+
+using namespace boost::math;
+using boost::math::signbit;
+using boost::math::changesign;
+using boost::math::isnan;
+
+//------------------------------------------------------------------------------
+
+void trap_test_finite();
+void trap_test_inf();
+void trap_test_nan();
+
+BOOST_AUTO_TEST_CASE(trap_test)
+{
+    trap_test_finite();
+    trap_test_inf();
+    trap_test_nan();
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_finite_impl();
+
+void trap_test_finite()
+{
+    trap_test_finite_impl<char, float>();
+    trap_test_finite_impl<char, double>();
+    trap_test_finite_impl<char, long double>();
+    trap_test_finite_impl<wchar_t, float>();
+    trap_test_finite_impl<wchar_t, double>();
+    trap_test_finite_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_finite_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity | trap_nan));
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity | trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = (ValType)1.2;
+    ValType a2 = (ValType)-3.5;
+    ValType a3 = (std::numeric_limits<ValType>::max)();
+    ValType a4 = -(std::numeric_limits<ValType>::max)();
+    ss << a1 << ' ' << a2 << ' ' << a3 << ' ' << a4;
+
+    ValType b1, b2, b3, b4;
+    ss >> b1 >> b2 >> b3 >> b4;
+
+    BOOST_CHECK(almost_equal(b1, a1));
+    BOOST_CHECK(almost_equal(b2, a2));
+    BOOST_CHECK(almost_equal(b3, a3));
+    BOOST_CHECK(almost_equal(b4, a4));
+    BOOST_CHECK(b3 != std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(b4 != -std::numeric_limits<ValType>::infinity());
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ss << "++5";
+    ValType b5;
+    ss >> b5;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_inf_impl();
+template<class CharType, class ValType> void trap_test_put_inf_impl();
+template<class CharType, class ValType> void trap_test_get_inf_impl();
+
+void trap_test_inf()
+{
+    trap_test_inf_impl<char, float>();
+    trap_test_inf_impl<char, double>();
+    trap_test_inf_impl<char, long double>();
+    trap_test_inf_impl<wchar_t, float>();
+    trap_test_inf_impl<wchar_t, double>();
+    trap_test_inf_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_inf_impl()
+{
+    trap_test_put_inf_impl<CharType, ValType>();
+    trap_test_get_inf_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_inf_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_inf_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_infinity));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::infinity();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = -std::numeric_limits<ValType>::infinity();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+template<class CharType, class ValType> void trap_test_nan_impl();
+template<class CharType, class ValType> void trap_test_put_nan_impl();
+template<class CharType, class ValType> void trap_test_get_nan_impl();
+
+void trap_test_nan()
+{
+    trap_test_nan_impl<char, float>();
+    trap_test_nan_impl<char, double>();
+    trap_test_nan_impl<char, long double>();
+    trap_test_nan_impl<wchar_t, float>();
+    trap_test_nan_impl<wchar_t, double>();
+    trap_test_nan_impl<wchar_t, long double>();
+}
+
+template<class CharType, class ValType> void trap_test_nan_impl()
+{
+    trap_test_put_nan_impl<CharType, ValType>();
+    trap_test_get_nan_impl<CharType, ValType>();
+}
+
+template<class CharType, class ValType> void trap_test_put_nan_impl()
+{
+    std::locale old_locale;
+    std::locale new_locale(old_locale,
+        new nonfinite_num_put<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+    ss.clear();
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit
+        || ss.rdstate() == std::ios_base::badbit);
+}
+
+template<class CharType, class ValType> void trap_test_get_nan_impl()
+{
+    std::locale old_locale;
+    std::locale tmp_locale(old_locale, new nonfinite_num_put<CharType>);
+    std::locale new_locale(tmp_locale,
+        new nonfinite_num_get<CharType>(trap_nan));
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    ValType a1 = std::numeric_limits<ValType>::quiet_NaN();
+    ss << a1;
+    ValType b1;
+    ss >> b1;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+
+    ss.clear();
+    ss.str(S_(""));
+
+    ValType a2 = std::numeric_limits<ValType>::signaling_NaN();
+    ss << a2;
+    ValType b2;
+    ss >> b2;
+    BOOST_CHECK(ss.rdstate() == std::ios_base::failbit);
+}
+
+//------------------------------------------------------------------------------
+
+}   // anonymous namespace
+
diff --git a/src/boost/libs/math/test/test_normal.cpp b/src/boost/libs/math/test/test_normal.cpp
new file mode 100644
index 000000000..e2b5e844d
--- /dev/null
+++ b/src/boost/libs/math/test/test_normal.cpp
@@ -0,0 +1,396 @@
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_normal.cpp
+
+// http://en.wikipedia.org/wiki/Normal_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda3661.htm
+// Also:
+// Weisstein, Eric W. "Normal Distribution."
+// From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/NormalDistribution.html
+
+#include <pch.hpp> // include directory /libs/math/src/tr1/ is needed.
+
+#ifdef _MSC_VER
+#  pragma warning (disable: 4127) // conditional expression is constant
+// caused by using   if(std::numeric_limits<RealType>::has_infinity)
+// and   if (std::numeric_limits<RealType>::has_quiet_NaN)
+#endif
+
+#include <boost/math/tools/test.hpp>
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/normal.hpp>
+    using boost::math::normal_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+RealType NaivePDF(RealType mean, RealType sd, RealType x)
+{
+   // Deliberately naive PDF calculator again which
+   // we'll compare our pdf function.  However some
+   // published values to compare against would be better....
+   using namespace std;
+   return exp(-(x-mean)*(x-mean)/(2*sd*sd))/(sd * sqrt(2*boost::math::constants::pi<RealType>()));
+}
+
+template <class RealType>
+void check_normal(RealType mean, RealType sd, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         normal_distribution<RealType>(mean, sd),       // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            normal_distribution<RealType>(mean, sd),    // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         normal_distribution<RealType>(mean, sd),       // distribution.
+         p),                                            // probability.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            normal_distribution<RealType>(mean, sd),    // distribution.
+            q)),                                        // probability complement.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   RealType tolerance = 1e-2f; // 1e-4 (as %)
+   // Some tests only pass at 1e-4 because values generated by
+   // http://faculty.vassar.edu/lowry/VassarStats.html
+   // give only 5 or 6 *fixed* places, so small values have fewer digits.
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(0, -1), std::domain_error); // negative sd
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(0, -1), std::domain_error); // negative sd
+#endif
+
+  // Tests on extreme values of random variate x, if has std::numeric_limits infinity etc.
+    normal_distribution<RealType> N01;
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_EQUAL(pdf(N01, +std::numeric_limits<RealType>::infinity()), 0); // x = + infinity, pdf = 0
+    BOOST_CHECK_EQUAL(pdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, pdf = 0
+    BOOST_CHECK_EQUAL(cdf(N01, +std::numeric_limits<RealType>::infinity()), 1); // x = + infinity, cdf = 1
+    BOOST_CHECK_EQUAL(cdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, +std::numeric_limits<RealType>::infinity())), 0); // x = + infinity, c cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, -std::numeric_limits<RealType>::infinity())), 1); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+     BOOST_MATH_CHECK_THROW(boost::math::normal_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // No longer allow x to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+  }
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(4.8),
+      static_cast<RealType>(0.46017),
+      static_cast<RealType>(1 - 0.46017),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(5.2),
+      static_cast<RealType>(1 - 0.46017),
+      static_cast<RealType>(0.46017),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(2.2),
+      static_cast<RealType>(0.08076),
+      static_cast<RealType>(1 - 0.08076),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(7.8),
+      static_cast<RealType>(1 - 0.08076),
+      static_cast<RealType>(0.08076),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(-4.5),
+      static_cast<RealType>(0.38209),
+      static_cast<RealType>(1 - 0.38209),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(-1.5),
+      static_cast<RealType>(1 - 0.38209),
+      static_cast<RealType>(0.38209),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(-8.5),
+      static_cast<RealType>(0.13567),
+      static_cast<RealType>(1 - 0.13567),
+      tolerance);
+
+   check_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(2.5),
+      static_cast<RealType>(1 - 0.13567),
+      static_cast<RealType>(0.13567),
+      tolerance);
+
+   //
+   // Tests for PDF: we know that the peak value is at 1/sqrt(2*pi)
+   //
+   tolerance = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage
+   BOOST_CHECK_CLOSE(
+      pdf(normal_distribution<RealType>(), static_cast<RealType>(0)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi)
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(normal_distribution<RealType>(3), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(normal_distribution<RealType>(3, 5), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
+      tolerance);
+
+   //
+   // Spot checks for mean = -5, sd = 6:
+   //
+   for(RealType x = -15; x < 5; x += 0.125)
+   {
+      BOOST_CHECK_CLOSE(
+         pdf(normal_distribution<RealType>(-5, 6), x),
+         NaivePDF(RealType(-5), RealType(6), x),
+         tolerance);
+   }
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5;
+    normal_distribution<RealType> dist(8, 3);
+    RealType x = static_cast<RealType>(0.125);
+
+    BOOST_MATH_STD_USING // ADL of std math lib names
+
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8), tol2);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(9), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(3), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol2);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mode(dist)
+       , static_cast<RealType>(8), tol2);
+
+    BOOST_CHECK_CLOSE(
+       median(dist)
+       , static_cast<RealType>(8), tol2);
+
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0), tol2);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(3), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(0), tol2);
+
+    RealType expected_entropy = log(boost::math::constants::two_pi<RealType>()*boost::math::constants::e<RealType>()*9)/2;
+    BOOST_CHECK_CLOSE(
+       entropy(dist)
+       ,expected_entropy, tol2);
+
+    normal_distribution<RealType> norm01(0, 1); // Test default (0, 1)
+    BOOST_CHECK_CLOSE(
+       mean(norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    normal_distribution<RealType> defsd_norm01(0); // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(defsd_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    normal_distribution<RealType> def_norm01; // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(def_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    BOOST_CHECK_CLOSE(
+       standard_deviation(def_norm01),
+       static_cast<RealType>(1), 0); // Mean == zero
+
+    // Error tests:
+    check_out_of_range<boost::math::normal_distribution<RealType> >(0, 1); // (All) valid constructor parameter values.
+    
+    BOOST_MATH_CHECK_THROW(pdf(normal_distribution<RealType>(0, 0), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(normal_distribution<RealType>(0, -1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(normal_distribution<RealType>(0, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(normal_distribution<RealType>(0, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    // Check that can generate normal distribution using the two convenience methods:
+   boost::math::normal myf1(1., 2); // Using typedef
+   normal_distribution<> myf2(1., 2); // Using default RealType double.
+  boost::math::normal myn01; // Use default values.
+  // Note NOT myn01() as the compiler will interpret as a function!
+
+  // Check the synonyms, provided to allow generic use of find_location and find_scale.
+  BOOST_CHECK_EQUAL(myn01.mean(), myn01.location());
+  BOOST_CHECK_EQUAL(myn01.standard_deviation(), myn01.scale());
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_normal.exe"
+Running 1 test case...
+Tolerance for type float is 0.01 %
+Tolerance for type double is 0.01 %
+Tolerance for type long double is 0.01 %
+Tolerance for type class boost::math::concepts::real_concept is 0.01 %
+*** No errors detected
+
+
+
+
+------ Build started: Project: test_normal, Configuration: Release Win32 ------
+  test_normal.cpp
+  Generating code
+  Finished generating code
+  test_normal.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_normal.exe
+  Running 1 test case...
+  Tolerance for type float is 0.01 %
+  Tolerance for type double is 0.01 %
+  Tolerance for type long double is 0.01 %
+  Tolerance for type class boost::math::concepts::real_concept is 0.01 %
+  
+  *** No errors detected
+  Detected memory leaks!
+  Dumping objects ->
+  {2413} normal block at 0x00321190, 42 bytes long.
+   Data: <class boost::mat> 63 6C 61 73 73 20 62 6F 6F 73 74 3A 3A 6D 61 74 
+  {2412} normal block at 0x003231F0, 8 bytes long.
+   Data: <  2  22 > 90 11 32 00 98 32 32 00 
+  {1824} normal block at 0x00323180, 12 bytes long.
+   Data: <long double > 6C 6F 6E 67 20 64 6F 75 62 6C 65 00 
+  {1823} normal block at 0x00323298, 8 bytes long.
+   Data: < 12 `22 > 80 31 32 00 60 32 32 00 
+  {1227} normal block at 0x00323148, 7 bytes long.
+   Data: <double > 64 6F 75 62 6C 65 00 
+  {1226} normal block at 0x00323260, 8 bytes long.
+   Data: <H12  02 > 48 31 32 00 A0 30 32 00 
+  {633} normal block at 0x003230D8, 6 bytes long.
+   Data: <float > 66 6C 6F 61 74 00 
+  {632} normal block at 0x003230A0, 8 bytes long.
+   Data: < 02     > D8 30 32 00 00 00 00 00 
+  Object dump complete.
+========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_numerical_differentiation.cpp b/src/boost/libs/math/test/test_numerical_differentiation.cpp
new file mode 100644
index 000000000..1b2f53962
--- /dev/null
+++ b/src/boost/libs/math/test/test_numerical_differentiation.cpp
@@ -0,0 +1,245 @@
+//  (C) Copyright Nick Thompson, 2018
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE numerical_differentiation_test
+
+#include <cmath>
+#include <limits>
+#include <iostream>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/special_functions/bessel_prime.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/differentiation/finite_difference.hpp>
+
+using std::abs;
+using std::pow;
+using boost::math::differentiation::finite_difference_derivative;
+using boost::math::differentiation::complex_step_derivative;
+using boost::math::cyl_bessel_j;
+using boost::math::cyl_bessel_j_prime;
+using boost::math::constants::half;
+
+template<class Real, size_t order>
+void test_order(size_t points_to_test)
+{
+    std::cout << "Testing order " <<  order  << " derivative error estimate on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << std::fixed << std::scientific;
+    auto f = [](Real t) { return boost::math::cyl_bessel_j<Real>(1, t); };
+    Real min = -100000.0;
+    Real max = -min;
+    Real x = min;
+    Real max_error = 0;
+    Real max_relative_error_in_error = 0;
+    size_t j = 0;
+    size_t failures = 0;
+    while (j < points_to_test)
+    {
+        x = min + (Real) 2*j*max/ (Real) points_to_test;
+        Real error_estimate;
+        Real computed = finite_difference_derivative<decltype(f), Real, order>(f, x, &error_estimate);
+        Real expected = (Real) cyl_bessel_j_prime<Real>(1, x);
+        Real error = abs(computed - expected);
+        // The error estimate is provided under the assumption that the function is evaluated to 1 ULP.
+        // Presumably no one will be too offended by this estimate being off by a factor of 2 or so.
+        if (error > 2*error_estimate)
+        {
+            ++failures;
+            Real relative_error_in_error = abs(error - error_estimate)/ error;
+            if (relative_error_in_error > max_relative_error_in_error)
+            {
+                max_relative_error_in_error = relative_error_in_error;
+            }
+            if (relative_error_in_error > 2)
+            {
+                throw std::logic_error("Relative error in error is too high!");
+            }
+        }
+        if (error > max_error)
+        {
+            max_error = error;
+        }
+        ++j;
+    }
+    //std::cout << "Maximum error :" << max_error << "\n";
+    //std::cout <<  "Error estimate failed " << failures << " times out of " << points_to_test << "\n";
+    //std::cout << "Failure rate: " << (double) failures / (double) points_to_test << "\n";
+    //std::cout << "Maximum error in estimated error = " << max_relative_error_in_error << "\n";
+    //Real convergence_rate = (Real) order/ (Real) (order + 1);
+    //std::cout << "eps^(order/order+1) = " << pow(std::numeric_limits<Real>::epsilon(), convergence_rate) << "\n\n\n";
+
+    bool max_error_good = max_error < 2*sqrt(std::numeric_limits<Real>::epsilon());
+    BOOST_TEST(max_error_good);
+
+    bool error_estimate_good = max_relative_error_in_error < (Real) 2;
+    BOOST_TEST(error_estimate_good);
+
+    double failure_rate = (double) failures / (double) points_to_test;
+    BOOST_CHECK_SMALL(failure_rate, 0.05);
+}
+
+template<class Real>
+void test_bessel()
+{
+    std::cout << "Testing numerical derivatives of Bessel's function on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+
+    Real eps = std::numeric_limits<Real>::epsilon();
+    Real x = static_cast<Real>(25.1);
+    auto f = [](Real t) { return boost::math::cyl_bessel_j(12, t); };
+
+    Real computed = finite_difference_derivative<decltype(f), Real, 1>(f, x);
+    Real expected = cyl_bessel_j_prime(12, x);
+    Real error_estimate = 4*abs(f(x))*sqrt(eps);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "First order fd    : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 10*error_estimate);
+
+    computed = finite_difference_derivative<decltype(f), Real, 2>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, boost::math::constants::two_thirds<Real>());
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Second order fd   : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 50*error_estimate);
+
+    computed = finite_difference_derivative<decltype(f), Real, 4>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, (Real) 4 / (Real) 5);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Fourth order fd   : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 25*error_estimate);
+
+
+    computed = finite_difference_derivative<decltype(f), Real, 6>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, (Real)  6/ (Real) 7);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Sixth order fd    : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 100*error_estimate);
+
+    computed = finite_difference_derivative<decltype(f), Real, 8>(f, x);
+    expected = cyl_bessel_j_prime(12, x);
+    error_estimate = abs(f(x))*pow(eps, (Real)  8/ (Real) 9);
+    //std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    //std::cout << "cyl_bessel_j_prime: " << expected << std::endl;
+    //std::cout << "Eighth order fd   : " << computed << std::endl;
+    //std::cout << "Error             : " << abs(computed - expected) << std::endl;
+    //std::cout << "a prior error est : " << error_estimate << std::endl;
+
+    BOOST_CHECK_CLOSE_FRACTION(expected, computed, 25*error_estimate);
+}
+
+// Example of a function which is subject to catastrophic cancellation using finite-differences, but is almost perfectly stable using complex step:
+template<class RealOrComplex>
+RealOrComplex moler_example(RealOrComplex x)
+{
+    using std::sin;
+    using std::cos;
+    using std::exp;
+
+    RealOrComplex cosx = cos(x);
+    RealOrComplex sinx = sin(x);
+    return exp(x)/(cosx*cosx*cosx + sinx*sinx*sinx);
+}
+
+template<class RealOrComplex>
+RealOrComplex moler_example_derivative(RealOrComplex x)
+{
+    using std::sin;
+    using std::cos;
+    using std::exp;
+
+    RealOrComplex expx = exp(x);
+    RealOrComplex cosx = cos(x);
+    RealOrComplex sinx = sin(x);
+    RealOrComplex coscubed_sincubed = cosx*cosx*cosx + sinx*sinx*sinx;
+    return (expx/coscubed_sincubed)*(1 - 3*(sinx*sinx*cosx - sinx*cosx*cosx)/ (coscubed_sincubed));
+}
+
+
+template<class Real>
+void test_complex_step()
+{
+    using std::abs;
+    using std::complex;
+    using std::isfinite;
+    using std::isnormal;
+    std::cout << "Testing numerical derivatives of Bessel's function on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    std::cout << std::setprecision(std::numeric_limits<Real>::digits10);
+    Real x = -100;
+    while ( x < 100 )
+    {
+        if (!isfinite(moler_example(x)))
+        {
+            x += 1;
+            continue;
+        }
+        Real expected = moler_example_derivative<Real>(x);
+        Real computed = complex_step_derivative(moler_example<complex<Real>>, x);
+        if (!isfinite(expected))
+        {
+            x += 1;
+            continue;
+        }
+        if (abs(expected) <= std::numeric_limits<Real>::epsilon())
+        {
+            bool issmall = computed < std::numeric_limits<Real>::epsilon();
+            BOOST_TEST(issmall);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE_FRACTION(expected, computed, 200*std::numeric_limits<Real>::epsilon());
+        }
+        x += 1;
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(numerical_differentiation_test)
+{
+    test_complex_step<float>();
+    test_complex_step<double>();
+
+    test_bessel<float>();
+    test_bessel<double>();
+
+
+    size_t points_to_test = 1000;
+    test_order<float, 1>(points_to_test);
+    test_order<double, 1>(points_to_test);
+
+
+    test_order<float, 2>(points_to_test);
+    test_order<double, 2>(points_to_test);
+
+    test_order<float, 4>(points_to_test);
+    test_order<double, 4>(points_to_test);
+
+    test_order<float, 6>(points_to_test);
+    test_order<double, 6>(points_to_test);
+
+    test_order<float, 8>(points_to_test);
+    test_order<double, 8>(points_to_test);
+
+}
diff --git a/src/boost/libs/math/test/test_out_of_range.hpp b/src/boost/libs/math/test/test_out_of_range.hpp
new file mode 100644
index 000000000..7d9560fc7
--- /dev/null
+++ b/src/boost/libs/math/test/test_out_of_range.hpp
@@ -0,0 +1,175 @@
+// Copyright John Maddock 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_OUT_OF_RANGE_HPP
+#define BOOST_MATH_TEST_OUT_OF_RANGE_HPP
+
+#include <boost/math/special_functions/next.hpp>
+#include <boost/test/test_tools.hpp>
+
+/*` check_out_of_range functions check that bad parameters
+passed to constructors and functions throw domain_error exceptions.
+
+Usage is `check_out_of_range<DistributionType >(list-of-params);`
+Where list-of-params is a list of *valid* parameters from which the distribution can be constructed
+- ie the same number of args are passed to the function,
+as are passed to the distribution constructor.
+
+Checks:
+
+* Infinity or NaN passed in place of each of the valid params.
+* Infinity or NaN as a random variable.
+* Out-of-range random variable passed to pdf and cdf (ie outside of "range(distro)").
+* Out-of-range probability passed to quantile function and complement.
+
+but does *not* check finite but out-of-range parameters to the constructor
+because these are specific to each distribution.
+*/
+
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127)
+#endif
+
+//! \tparam Distro distribution class name, for example: @c students_t_distribution<RealType>.
+//! \tparam Infinite only true if support includes infinity (default false means do not allow infinity).
+template <class Distro>
+void check_support(const Distro& d, bool Infinite = false)
+{ // Checks that support and function calls are within expected limits.
+   typedef typename Distro::value_type value_type;
+   if (Infinite == false)
+   {
+     if ((boost::math::isfinite)(range(d).first) && (range(d).first != -boost::math::tools::max_value<value_type>()))
+     { // If possible, check that a random variable value just less than the bottom of the supported range throws domain errors.
+       value_type m = (range(d).first == 0) ? -boost::math::tools::min_value<value_type>() : boost::math::float_prior(range(d).first);
+       BOOST_ASSERT(m != range(d).first);
+       BOOST_ASSERT(m < range(d).first);
+       BOOST_MATH_CHECK_THROW(pdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(complement(d, m)), std::domain_error);
+     }
+     if ((boost::math::isfinite)(range(d).second) && (range(d).second != boost::math::tools::max_value<value_type>()))
+     { // If possible, check that a random variable value just more than the top of the supported range throws domain errors.
+       value_type m = (range(d).second == 0) ? boost::math::tools::min_value<value_type>() : boost::math::float_next(range(d).second);
+       BOOST_ASSERT(m != range(d).first);
+       BOOST_ASSERT(m > range(d).first);
+       BOOST_MATH_CHECK_THROW(pdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(d, m), std::domain_error);
+       BOOST_MATH_CHECK_THROW(cdf(complement(d, m)), std::domain_error);
+     }
+     if (std::numeric_limits<value_type>::has_infinity)
+     { // Infinity is available,
+       if ((boost::math::isfinite)(range(d).second))
+       {  // and top of range doesn't include infinity,
+          // check that using infinity throws domain errors.
+         BOOST_MATH_CHECK_THROW(pdf(d, std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(d, std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(complement(d, std::numeric_limits<value_type>::infinity())), std::domain_error);
+       }
+       if ((boost::math::isfinite)(range(d).first))
+       {  // and bottom of range doesn't include infinity,
+          // check that using infinity throws domain_error exception.
+         BOOST_MATH_CHECK_THROW(pdf(d, -std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(d, -std::numeric_limits<value_type>::infinity()), std::domain_error);
+         BOOST_MATH_CHECK_THROW(cdf(complement(d, -std::numeric_limits<value_type>::infinity())), std::domain_error);
+       }
+       // Check that using infinity with quantiles always throws domain_error exception.
+       BOOST_MATH_CHECK_THROW(quantile(d, std::numeric_limits<value_type>::infinity()), std::domain_error);
+       BOOST_MATH_CHECK_THROW(quantile(d, -std::numeric_limits<value_type>::infinity()), std::domain_error);
+       BOOST_MATH_CHECK_THROW(quantile(complement(d, std::numeric_limits<value_type>::infinity())), std::domain_error);
+       BOOST_MATH_CHECK_THROW(quantile(complement(d, -std::numeric_limits<value_type>::infinity())), std::domain_error);
+     }
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   { // NaN is available.
+      BOOST_MATH_CHECK_THROW(pdf(d, std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(d, std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(complement(d, std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(d, -std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(d, -std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(complement(d, -std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(d, std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(d, -std::numeric_limits<value_type>::quiet_NaN()), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(complement(d, std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(complement(d, -std::numeric_limits<value_type>::quiet_NaN())), std::domain_error);
+   }
+   // Check that using probability outside [0,1] with quantiles always throws domain_error exception.
+   BOOST_MATH_CHECK_THROW(quantile(d, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(d, 2), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(d, 2)), std::domain_error);
+}
+
+// Four check_out_of_range versions for distributions with zero to 3 constructor parameters.
+
+template <class Distro>
+void check_out_of_range()
+{
+   Distro d;
+   check_support(d);
+}
+
+template <class Distro>
+void check_out_of_range(typename Distro::value_type p1)
+{
+   typedef typename Distro::value_type value_type;
+   Distro d(p1);
+   check_support(d);
+   if(std::numeric_limits<value_type>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity()), range(d).first), std::domain_error);
+ //     BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity()), range(d).second), std::domain_error);
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::quiet_NaN()), range(d).first), std::domain_error);
+   }
+}
+
+template <class Distro>
+void check_out_of_range(typename Distro::value_type p1, typename Distro::value_type p2)
+{
+   typedef typename Distro::value_type value_type;
+   Distro d(p1, p2);
+   check_support(d);
+   if(std::numeric_limits<value_type>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity(), p2), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::infinity()), range(d).first), std::domain_error);
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::quiet_NaN(), p2), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::quiet_NaN()), range(d).first), std::domain_error);
+   }
+}
+
+template <class Distro>
+void check_out_of_range(typename Distro::value_type p1, typename Distro::value_type p2, typename Distro::value_type p3)
+{
+   typedef typename Distro::value_type value_type;
+   Distro d(p1, p2, p3);
+   check_support(d);
+   if(std::numeric_limits<value_type>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::infinity(), p2, p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::infinity(), p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, p2, std::numeric_limits<value_type>::infinity()), range(d).first), std::domain_error);
+   }
+   if(std::numeric_limits<value_type>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(pdf(Distro(std::numeric_limits<value_type>::quiet_NaN(), p2, p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, std::numeric_limits<value_type>::quiet_NaN(), p3), range(d).first), std::domain_error);
+      BOOST_MATH_CHECK_THROW(pdf(Distro(p1, p2, std::numeric_limits<value_type>::quiet_NaN()), range(d).first), std::domain_error);
+   }
+}
+
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+
+#endif // BOOST_MATH_TEST_OUT_OF_RANGE_HPP
diff --git a/src/boost/libs/math/test/test_owens_t.cpp b/src/boost/libs/math/test/test_owens_t.cpp
new file mode 100644
index 000000000..5d7770c05
--- /dev/null
+++ b/src/boost/libs/math/test/test_owens_t.cpp
@@ -0,0 +1,247 @@
+// test_owens_t.cpp
+
+// Copyright Paul A. Bristow 2012.
+// Copyright Benjamin Sobotta 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tested using some 30 decimal digit accuracy values from:
+// Fast and accurate calculation of Owen's T-function
+// Mike Patefield, and David Tandy
+// Journal of Statistical Software, 5 (5), 1-25 (2000).
+// http://www.jstatsoft.org/v05/a05/paper  Table 3, page 15
+// Values of T(h,a) accurate to thirty figures were calculated using 128 bit arithmetic by
+// evaluating (9) with m = 48, the summation over k being continued until additional terms did
+// not alter the result. The resultant values Tacc(h,a) say, were validated by evaluating (8) with
+// m = 48 (i.e. 96 point Gaussian quadrature).
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant
+#  pragma warning (disable : 4305) // 'initializing' : truncation from 'double' to 'const float'
+// ?? TODO get rid of these warnings?
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept.
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/special_functions/owens_t.hpp> // for owens_t function.
+using boost::math::owens_t;
+#include <boost/math/distributions/normal.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/array.hpp>
+
+#include "libs/math/test/handle_test_result.hpp"
+#include "libs/math/test/table_type.hpp"
+#include "libs/math/test/functor.hpp"
+#include "test_owens_t.hpp"
+
+//
+// Defining TEST_CPP_DEC_FLOAT enables testing of multiprecision support.
+// This requires the multiprecision library from sandbox/big_number.
+// Note that these tests *do not pass*, but they do give an idea of the 
+// error rates that can be expected....
+//
+#ifdef TEST_CPP_DEC_FLOAT
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+template <class R>
+inline R convert_to(const char* s)
+{
+   try{
+      return boost::lexical_cast<R>(s);
+   }
+   catch(const boost::bad_lexical_cast&)
+   {
+      return 0;
+   }
+}
+#undef SC_
+#define SC_(x) convert_to<T>(BOOST_STRINGIZE(x))
+#endif
+
+#include "owens_t_T7.hpp"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+#include <limits>
+using std::numeric_limits;
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   //
+   // Catch all cases come last:
+   //
+   if(std::numeric_limits<long double>::digits > 60)
+   {
+      add_expected_result(
+         ".*",                            // compiler
+         ".*",                            // stdlib
+         ".*",                            // platform
+         largest_type,                    // test type(s)
+         ".*",      // test data group
+         "owens_t", 500, 100);  // test function
+   }
+   else
+   {
+      add_expected_result(
+         ".*",                            // compiler
+         ".*",                            // stdlib
+         ".*",                            // platform
+         largest_type,                    // test type(s)
+         ".*",      // test data group
+         "owens_t", 60, 5);  // test function
+   }
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  BOOST_MATH_CONTROL_FP;
+
+  expected_results();
+
+  // Basic sanity-check spot values.
+
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float.
+  test_spots(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+
+  check_against_T7(0.0F); // Test float.
+  check_against_T7(0.0); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  check_against_T7(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  check_against_T7(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+
+  test_owens_t(0.0F, "float"); // Test float.
+  test_owens_t(0.0, "double"); // Test double.
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_owens_t(0.0L, "long double"); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_owens_t(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
+#endif
+#endif
+#ifdef TEST_CPP_DEC_FLOAT
+  typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<35> > cpp_dec_float_35;
+  test_owens_t(cpp_dec_float_35(0), "cpp_dec_float_35"); // Test real concept.
+  test_owens_t(boost::multiprecision::cpp_dec_float_50(0), "cpp_dec_float_50"); // Test real concept.
+  test_owens_t(boost::multiprecision::cpp_dec_float_100(0), "cpp_dec_float_100"); // Test real concept.
+#endif
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_owens_t.exe"
+  Running 1 test case...
+  Tests run with Microsoft Visual C++ version 10.0, Dinkumware standard library version 520, Win32
+  Tolerance = 3.57628e-006.
+  Tolerance = 6.66134e-015.
+  Tolerance = 6.66134e-015.
+  Tolerance = 6.66134e-015.
+  Tolerance = 1.78814e-005.
+  Tolerance = 3.33067e-014.
+  Tolerance = 3.33067e-014.
+  Tolerance = 3.33067e-014.
+  Testing Owens T (medium small values) with type float
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<float> Max = 0 RMS Mean=0
+  
+  
+  Testing Owens T (large and diverse values) with type float
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<float> Max = 0 RMS Mean=0
+  
+  
+  Testing Owens T (medium small values) with type double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<double> Max = 4.375 RMS Mean=0.9728
+      worst case at row: 81
+      { 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
+  
+  
+  Testing Owens T (large and diverse values) with type double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<double> Max = 3.781 RMS Mean=0.6206
+      worst case at row: 430
+      { 3.4516773223876953, 0.0010718167759478092, 4.413983645332431e-007 }
+  
+  
+  Testing Owens T (medium small values) with type long double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<long double> Max = 4.375 RMS Mean=0.9728
+      worst case at row: 81
+      { 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
+  
+  
+  Testing Owens T (large and diverse values) with type long double
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<long double> Max = 3.781 RMS Mean=0.6206
+      worst case at row: 430
+      { 3.4516773223876953, 0.0010718167759478092, 4.413983645332431e-007 }
+  
+  
+  Testing Owens T (medium small values) with type real_concept
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<real_concept> Max = 4.375 RMS Mean=1.032
+      worst case at row: 81
+      { 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
+  
+  
+  Testing Owens T (large and diverse values) with type real_concept
+  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+  boost::math::owens_t<real_concept> Max = 21.04 RMS Mean=1.102
+      worst case at row: 439
+      { 3.4516773223876953, 0.98384737968444824, 0.00013923002576038691 }
+  
+  
+  
+  *** No errors detected
+
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_owens_t.hpp b/src/boost/libs/math/test/test_owens_t.hpp
new file mode 100644
index 000000000..d16ebd386
--- /dev/null
+++ b/src/boost/libs/math/test/test_owens_t.hpp
@@ -0,0 +1,165 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/distributions/normal.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+#include "owens_t_T7.hpp"
+
+
+template <class RealType>
+void test_spot(
+   RealType h,    //
+   RealType a,    //
+   RealType tol)   // Test tolerance
+{
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(h, a), 3.89119302347013668966224771378e-2L, tol);
+}
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+   using namespace std;
+   // Basic sanity checks, test data is as accurate as long double,
+   // so set tolerance to a few epsilon expressed as a fraction.
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 30; // most OK with 3 eps tolerance.
+   cout << "Tolerance = " << tolerance << "." << endl;
+
+   using  ::boost::math::owens_t;
+   using ::boost::math::normal_distribution;
+   BOOST_MATH_STD_USING // ADL of std names.
+
+      // Checks of six sub-methods T1 to T6.
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.0625L), static_cast<RealType>(0.25L)), static_cast<RealType>(3.89119302347013668966224771378e-2L), tolerance);  // T1
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(6.5L), static_cast<RealType>(0.4375L)), static_cast<RealType>(2.00057730485083154100907167685E-11L), tolerance); // T2
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(7L), static_cast<RealType>(0.96875L)), static_cast<RealType>(6.39906271938986853083219914429E-13L), tolerance); // T3
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(4.78125L), static_cast<RealType>(0.0625L)), static_cast<RealType>(1.06329748046874638058307112826E-7L), tolerance); // T4
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(2.L), static_cast<RealType>(0.5L)), static_cast<RealType>(8.62507798552150713113488319155E-3L), tolerance); // T5
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(1.L), static_cast<RealType>(0.9999975L)), static_cast<RealType>(6.67418089782285927715589822405E-2L), tolerance); // T6
+   //BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(L), static_cast<RealType>(L)), static_cast<RealType>(L), tolerance);
+
+   //   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(L), static_cast<RealType>(L)), static_cast<RealType>(L), tolerance);
+
+   // Spots values using Mathematica
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(6.5L), static_cast<RealType>(0.4375L)), static_cast<RealType>(2.00057730485083154100907167684918851101649922551817956120806662022118024594547E-11L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.4375L), static_cast<RealType>(6.5L)), static_cast<RealType>(0.16540130125449396247498691826626273249659241838438244251206819782787761751256L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(7.L), static_cast<RealType>(0.96875L)), static_cast<RealType>(6.39906271938986853083219914428916013764797190941459233223182225724846022843930e-13L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.96875L), static_cast<RealType>(7.L)), static_cast<RealType>(0.08316748474602973770533230453272140919966614259525787470390475393923633179072L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(4.78125L), static_cast<RealType>(0.0625L)), static_cast<RealType>(1.06329748046874638058307112826015825291136503488102191050906959246644942646701e-7L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.0625L), static_cast<RealType>(4.78125L)), static_cast<RealType>(0.21571185819897989857261253680409017017649352928888660746045361855686569265171L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(2.L), static_cast<RealType>(0.5L)), static_cast<RealType>(0.00862507798552150713113488319154637187875641190390854291100809449487812876461L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), static_cast<RealType>(0.14158060365397839346662819588111542648867283386549027383784843786494855594607L), tolerance);
+
+   // check basic properties
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), owens_t(static_cast<RealType>(-0.5L), static_cast<RealType>(2L)));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), -owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(-2L)));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5L), static_cast<RealType>(2L)), -owens_t(static_cast<RealType>(-0.5L), static_cast<RealType>(-2L)));
+
+   // Special relations from Owen's original paper:
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(0.5), static_cast<RealType>(0)), static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(10), static_cast<RealType>(0)), static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL(owens_t(static_cast<RealType>(10000), static_cast<RealType>(0)), static_cast<RealType>(0));
+
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0), static_cast<RealType>(2L)), atan(static_cast<RealType>(2L)) / (boost::math::constants::pi<RealType>() * 2), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0), static_cast<RealType>(0.5L)), atan(static_cast<RealType>(0.5L)) / (boost::math::constants::pi<RealType>() * 2), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0), static_cast<RealType>(2000L)), atan(static_cast<RealType>(2000L)) / (boost::math::constants::pi<RealType>() * 2), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(5), static_cast<RealType>(1)), cdf(normal_distribution<RealType>(), 5) * cdf(complement(normal_distribution<RealType>(), 5)) / 2, tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.125), static_cast<RealType>(1)), cdf(normal_distribution<RealType>(), 0.125) * cdf(complement(normal_distribution<RealType>(), 0.125)) / 2, tolerance);
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(0.125), std::numeric_limits<RealType>::infinity()), cdf(complement(normal_distribution<RealType>(), 0.125)) / 2, tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(5), std::numeric_limits<RealType>::infinity()), cdf(complement(normal_distribution<RealType>(), 5)) / 2, tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(-0.125), std::numeric_limits<RealType>::infinity()), cdf(normal_distribution<RealType>(), -0.125) / 2, tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(owens_t(static_cast<RealType>(-5), std::numeric_limits<RealType>::infinity()), cdf(normal_distribution<RealType>(), -5) / 2, tolerance);
+   }
+} // template <class RealType>void test_spots(RealType)
+
+template <class RealType> // Any floating-point type RealType.
+void check_against_T7(RealType)
+{
+   using namespace std;
+   // Basic sanity checks, test data is as accurate as long double,
+   // so set tolerance to a few epsilon expressed as a fraction.
+   RealType tolerance = boost::math::tools::epsilon<RealType>() * 150; // most OK with 3 eps tolerance.
+   cout << "Tolerance = " << tolerance << "." << endl;
+
+   using  ::boost::math::owens_t;
+   using namespace std; // ADL of std names.
+
+   // apply log scale because points near zero are more interesting
+   for(RealType a = static_cast<RealType>(-10.0l); a < static_cast<RealType>(3l); a += static_cast<RealType>(0.2l))
+      for(RealType h = static_cast<RealType>(-10.0l); h < static_cast<RealType>(3.5l); h += static_cast<RealType>(0.2l))
+      {
+         const RealType expa = exp(a);
+         const RealType exph = exp(h);
+         const RealType t = boost::math::owens_t(exph, expa);
+         RealType t7 = boost::math::owens_t_T7(exph, expa);
+         //if(!(boost::math::isnormal)(t) || !(boost::math::isnormal)(t7))
+         //   std::cout << "a = " << expa << " h = " << exph << " t = " << t << " t7 = " << t7 << std::endl;
+         BOOST_CHECK_CLOSE_FRACTION(t, t7, tolerance);
+      }
+
+} // template <class RealType>void test_spots(RealType)
+
+template <class Real, class T>
+void do_test_owens_t(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(OWENS_T_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type, value_type);
+#ifdef OWENS_T_FUNCTION_TO_TEST
+   pg funcp = OWENS_T_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::owens_t<value_type>;
+#else
+   pg funcp = boost::math::owens_t;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test owens_t against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "owens_t", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_owens_t(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "owens_t.ipp"
+
+   do_test_owens_t<T>(owens_t, name, "Owens T (medium small values)");
+
+#include "owens_t_large_data.ipp"
+
+   do_test_owens_t<T>(owens_t_large_data, name, "Owens T (large and diverse values)");
+}
diff --git a/src/boost/libs/math/test/test_pFq.cpp b/src/boost/libs/math/test/test_pFq.cpp
new file mode 100644
index 000000000..385e2805b
--- /dev/null
+++ b/src/boost/libs/math/test/test_pFq.cpp
@@ -0,0 +1,46 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_pFq.hpp"
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+
+#if defined(_MSC_FULL_VER) && (_MSC_FULL_VER < 190023026)
+//
+// Early msvc versions have <initializer_list> but can't handle
+// argument deduction of actual initializer_lists :(
+//
+#define DISABLE_TESTS
+#endif
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef DISABLE_TESTS
+#if !defined(TEST) || (TEST == 2)
+   test_spots(0.0F, "float");
+#endif
+#if !defined(TEST) || (TEST == 3)
+   test_spots(0.0, "double");
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+#if (!defined(TEST) || (TEST == 4)) && (DBL_MAX_EXP != LDBL_MAX_EXP)
+   test_spots(0.0L, "long double");
+#endif
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !defined(TEST) || (TEST == 5)
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || (TEST == 6)
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+#if !defined(TEST) || (TEST == 7)
+   typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<40> > dec_40;
+   test_spots(dec_40(), "dec_40");
+#endif
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_pFq.hpp b/src/boost/libs/math/test/test_pFq.hpp
new file mode 100644
index 000000000..50897ab9c
--- /dev/null
+++ b/src/boost/libs/math/test/test_pFq.hpp
@@ -0,0 +1,312 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_pFq.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
+#endif
+
+template <class Seq>
+bool is_small_a(const Seq& a)
+{
+   if (a.size() == 1)
+   {
+      auto v = *a.begin();
+      if ((v > -14) && (v < 1))
+         return true;
+   }
+   return false;
+}
+
+template <class Seq>
+bool has_negative_ab(const Seq& a, const Seq& b)
+{
+   for(auto p = a.begin(); p != a.end(); ++p)
+   {
+      if(*p < 0)
+         return true;
+   }
+   for(auto p = b.begin(); p != b.end(); ++p)
+   {
+      if(*p < 0)
+         return true;
+   }
+   return false;
+}
+
+template <class T>
+void check_pFq_result(const T& result, const T& norm, const T& expect, const std::initializer_list<T>& a, const std::initializer_list<T>& b, const T& z)
+{
+   //
+   // Ideally the error rate we calculate from comparing norm to result
+   // should be larger than the actual error.  However, in practice even
+   // if all the terms are positive and norm == result there will still
+   // be a small error from the actual summation (we could work out how
+   // much from the number of terms summed, but that's overkill for this)
+   // so we add a small fudge factor when comparing errors:
+   //
+   T err = boost::math::relative_difference(result, expect);
+   T found_err = norm / fabs(result);
+   T fudge_factor = 25;
+   if (is_small_a(a))
+      fudge_factor *= 4;  // not sure why??
+   if ((has_negative_ab(a, b)) || ((a.size() == 2) && (b.size() == 1)) || (boost::math::tools::epsilon<T>() < boost::math::tools::epsilon<double>()))
+   {
+      T min_err = boost::math::tools::epsilon<T>() * 600 / found_err;
+      fudge_factor = (std::max)(fudge_factor, min_err);
+   }
+   if ((((err > fudge_factor * found_err) && (found_err < 1)) || (boost::math::isnan)(found_err)) && (!(boost::math::isinf)(result)))
+   {
+      std::cout << "Found error = " << err << " error from norm = " << found_err << std::endl;
+      std::cout << "Testing fudge factor = " << fudge_factor << std::endl;
+      std::cout << "  a = ";
+      for (auto pa = a.begin(); pa != a.end(); ++pa)
+         std::cout << *pa << ",";
+      std::cout << "\n  b = ";
+      for (auto pb = b.begin(); pb != b.end(); ++pb)
+         std::cout << *pb << ",";
+      std::cout << "\n  z = " << z << std::endl;
+      //
+      // This will fail if we've got here:
+      //
+      BOOST_CHECK_LE(err, fudge_factor * found_err);
+      BOOST_CHECK(!(boost::math::isnan)(found_err));
+   }
+}
+
+template <class T>
+void test_spots_1F0(T, const char*)
+{
+   using std::pow;
+   
+   T tolerance = boost::math::tools::epsilon<T>() * 1000;
+
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(4)), T(-27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(0.5)), T(0.125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(0.5)), T(8), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(2)), T(-1), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(4)), T(T(-1) / 27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(-0.5)), pow(T(1.5), -3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(-2)), T(1 / T(27)), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(3) }, {}, T(-4)), T(T(1) / 125), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(-0.5)), pow(T(1.5), 3), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(-2)), T(27), tolerance);
+   BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(-4)), T(125), tolerance);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(3) }, {}, T(1)), std::domain_error);
+   //BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(-3) }, {}, T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(3.25) }, {}, T(1)), std::domain_error);
+   //BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(-3.25) }, {}, T(1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(3.25) }, {}, T(2)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({ T(-3.25) }, {}, T(2)), std::domain_error);
+}
+
+template <class T>
+void test_spots_0F1(T, const char*)
+{
+   T tolerance = boost::math::tools::epsilon<T>() * 50000;
+
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq({},  { T(3) }, T(0)), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq({}, { T(-3) }, T(0)), 1);
+   //BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq({}, { T(0) }, T(0)), 1);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({}, { T(0) }, T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({}, { T(-1) }, T(-1)), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq({}, { T(-10) }, T(-5)), std::domain_error);
+
+   static const boost::array<boost::array<T, 3>, 35> hypergeometric_pFq_integer_data = { {
+      { SC_(4.0), SC_(-20.0),  SC_(-0.012889714201783047561923257996127233830940165138385) },
+      { SC_(8.0), SC_(-20.0),  SC_(0.046498609282365144223175012935939437508273248399881) },
+      { SC_(12.0), SC_(-20.0),  SC_(0.16608847431869756642136191351311569335145459224622) },
+      { SC_(16.0), SC_(-20.0),  SC_(0.27230484709157170329168048388841880599105216477631) },
+      //{ SC_(20.0), SC_(-20.0),  SC_(0.35865872656868844615709101792040025253126126604266) },
+      { SC_(4.0), SC_(-16.0),  SC_(-0.027293644412433023379286103818840667403690937153604) },
+      { SC_(8.0), SC_(-16.0),  SC_(0.098618710511372349330666801041676087431136532039702) },
+      { SC_(12.0), SC_(-16.0),  SC_(0.24360114226383905073379763460037817885919457531523) },
+      //{ SC_(16.0), SC_(-16.0),  SC_(0.35635186318802906043824855864337727878754460163525) },
+      //{ SC_(20.0), SC_(-16.0),  SC_(0.44218381382689101428948260613085371477815110358789) },
+      { SC_(4.0), SC_(-12.0),  SC_(-0.021743572290699436419371120781513860006290363262907) },
+      { SC_(8.0), SC_(-12.0),  SC_(0.19025625754362006866949730683824627505504067855043) },
+      //{ SC_(12.0), SC_(-12.0),  SC_(0.35251228238278927379621049815222218665165551016489) },
+      //{ SC_(16.0), SC_(-12.0),  SC_(0.46415411486674623230458980010115972932474705884865) },
+      //{ SC_(20.0), SC_(-12.0),  SC_(0.54394918325286018927327004362535051310016558628741) },
+      { SC_(4.0), SC_(-8.0),  SC_(0.056818744289274872033266550620647787396712125304880) },
+      //{ SC_(8.0), SC_(-8.0),  SC_(0.34487371876996263249797701802458885718691612997456) },
+      //{ SC_(12.0), SC_(-8.0),  SC_(0.50411654015891701804499796523449656998841355305043) },
+      //{ SC_(16.0), SC_(-8.0),  SC_(0.60191459981670594041254437708158847428118361245442) },
+      //{ SC_(20.0), SC_(-8.0),  SC_(0.66770752550930138035694866478078941681114294465418) },
+      //{ SC_(4.0), SC_(-4.0),  SC_(0.32262860540671645526863760914000166725449779629143) },
+      //{ SC_(8.0), SC_(-4.0),  SC_(0.59755773349355150397404772151441126513126998265958) },
+      //{ SC_(12.0), SC_(-4.0),  SC_(0.71337465206009117934071859694314971137807212605147) },
+      //{ SC_(16.0), SC_(-4.0),  SC_(0.77734333649378860739496954157535257278092349684783) },
+      //{ SC_(20.0), SC_(-4.0),  SC_(0.81794177985447769150469288350369205683856312760890) },
+
+      { SC_(4.0), SC_(4.0),  SC_(2.5029568338152582758923890008139391395035041790831) },
+      { SC_(8.0), SC_(4.0),  SC_(1.6273673128576761227855719910743734060605725722129) },
+      { SC_(12.0), SC_(4.0),  SC_(1.3898419290864057799739567227851793491657442624207) },
+      { SC_(16.0), SC_(4.0),  SC_(1.2817098157957427946677711269410726972209834860612) },
+      { SC_(20.0), SC_(4.0),  SC_(1.2202539302152377230940386181201477276788392792437) },
+      { SC_(4.0), SC_(8.0),  SC_(5.5616961007411965409200003309686924059253894118586) },
+      { SC_(8.0), SC_(8.0),  SC_(2.5877053985451664722152913482683136948296873738479) },
+      { SC_(12.0), SC_(8.0),  SC_(1.9166410733572697158003086323981583993970490592046) },
+      { SC_(16.0), SC_(8.0),  SC_(1.6370675016890669952237854163997946987362497613701) },
+      { SC_(20.0), SC_(8.0),  SC_(1.4862852701827990444915220582410007454379891584086) },
+      { SC_(4.0), SC_(12.0),  SC_(11.419268276211177842169936131590385979116019595164) },
+      { SC_(8.0), SC_(12.0),  SC_(4.0347215359576567066789638314925802225312840819037) },
+      { SC_(12.0), SC_(12.0),  SC_(2.6242497527837800417573064942486918368886996538285) },
+      { SC_(16.0), SC_(12.0),  SC_(2.0840468784170876805932772732753387258909164486511) },
+      { SC_(20.0), SC_(12.0),  SC_(1.8071042457762091748544382847762106786633952487005) },
+      { SC_(4.0), SC_(16.0),  SC_(22.132051970576036053853444648907108439504682530918) },
+      { SC_(8.0), SC_(16.0),  SC_(6.1850485247748975008808779795786699492711191898792) },
+      { SC_(12.0), SC_(16.0),  SC_(3.5694322843488018916484224923627864928705138154372) },
+      { SC_(16.0), SC_(16.0),  SC_(2.6447371137201451261118187672029372265909501355722) },
+      { SC_(20.0), SC_(16.0),  SC_(2.1934058398888071720297525592515838555602675797235) },
+      { SC_(4.0), SC_(20.0),  SC_(41.021743268279206331672552645354782698296383424328) },
+      { SC_(8.0), SC_(20.0),  SC_(9.3414225299809886395081381945971250426599939097753) },
+      { SC_(12.0), SC_(20.0),  SC_(4.8253866205826406499959001774187695527272168375992) },
+      { SC_(16.0), SC_(20.0),  SC_(3.3462305133519485784864062004430532216764447939942) },
+      { SC_(20.0), SC_(20.0),  SC_(2.6578698872220394617444624241257799193518140676691) },
+      } };
+
+   for (auto row = hypergeometric_pFq_integer_data.begin(); row != hypergeometric_pFq_integer_data.end(); ++row)
+   {
+      BOOST_CHECK_CLOSE(boost::math::hypergeometric_pFq({},  { (*row)[0] }, (*row)[1]), (*row)[2], tolerance);
+   }
+}
+
+template <class T>
+void test_spots_1F1(T, const char*)
+{
+#include "hypergeometric_1F1.ipp"
+
+   for (auto row = hypergeometric_1F1.begin(); row != hypergeometric_1F1.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0] }, { (*row)[1] }, (*row)[2], &norm);
+         check_pFq_result(result, norm, (*row)[3], { (*row)[0] }, { (*row)[1] }, (*row)[2]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_1F1_b(T, const char*)
+{
+#include "hypergeometric_1F1_big.ipp"
+
+   for (auto row = hypergeometric_1F1_big.begin(); row != hypergeometric_1F1_big.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0] }, { (*row)[1] }, (*row)[2], &norm);
+         check_pFq_result(result, norm, (*row)[3], { (*row)[0] }, { (*row)[1] }, (*row)[2]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_2F1(T, const char*)
+{
+#include "hypergeometric_2F1.ipp"
+
+   for (auto row = hypergeometric_2F1.begin(); row != hypergeometric_2F1.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3], &norm);
+         check_pFq_result(result, norm, (*row)[4], { (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_0F2(T, const char*)
+{
+#include "hypergeometric_0F2.ipp"
+
+   for (auto row = hypergeometric_0F2.begin(); row != hypergeometric_0F2.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({}, { (*row)[0], (*row)[1] }, (*row)[2], &norm);
+         check_pFq_result(result, norm, (*row)[3], {}, { (*row)[0], (*row)[1] }, (*row)[2]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_1F2(T, const char*)
+{
+#include "hypergeometric_1F2.ipp"
+
+   for (auto row = hypergeometric_1F2.begin(); row != hypergeometric_1F2.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3], &norm);
+         check_pFq_result(result, norm, (*row)[4], { (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots_2F2(T, const char*)
+{
+#include "hypergeometric_2F2.ipp"
+
+   for (auto row = hypergeometric_2F2.begin(); row != hypergeometric_2F2.end(); ++row)
+   {
+      try {
+         T norm;
+         T result = boost::math::hypergeometric_pFq({ (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4], &norm);
+         check_pFq_result(result, norm, (*row)[5], { (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4]);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+template <class T>
+void test_spots(T z, const char* type_name)
+{
+   test_spots_1F0(z, type_name);
+   test_spots_0F1(z, type_name);
+   test_spots_1F1(z, type_name);
+   test_spots_1F1_b(z, type_name);
+   test_spots_0F2(z, type_name);
+   test_spots_1F2(z, type_name);
+   test_spots_2F2(z, type_name);
+   test_spots_2F1(z, type_name);
+}
diff --git a/src/boost/libs/math/test/test_pFq_precision.cpp b/src/boost/libs/math/test/test_pFq_precision.cpp
new file mode 100644
index 000000000..6e030c01e
--- /dev/null
+++ b/src/boost/libs/math/test/test_pFq_precision.cpp
@@ -0,0 +1,247 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/big_constant.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#include <boost/math/special_functions/hypergeometric_pFq.hpp>
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/math/special_functions/relative_difference.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+#ifndef SC_
+#define SC_(x) BOOST_MATH_BIG_CONSTANT(mp_type, 1000000, x)
+#endif
+
+typedef boost::multiprecision::mpfr_float mp_type;
+
+void test_spots_1F0()
+{
+   using std::pow;
+
+   mp_type tolerance = 2e-20;
+
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(2), 20), mp_type(-1), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(4), 20), mp_type(-27), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(0.5), 20), mp_type(0.125), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(0.5), 20), mp_type(8), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(2), 20), mp_type(-1), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(4), 20), mp_type(mp_type(-1) / 27), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(-0.5), 20), pow(mp_type(1.5), -3), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(-2), 20), mp_type(1 / mp_type(27)), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(-4), 20), mp_type(mp_type(1) / 125), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(-0.5), 20), pow(mp_type(1.5), 3), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(-2), 20), mp_type(27), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({ mp_type(-3) }, {}, mp_type(-4), 20), mp_type(125), tolerance);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(3) }, {}, mp_type(1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(3.25) }, {}, mp_type(1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(3.25) }, {}, mp_type(2), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({ mp_type(-3.25) }, {}, mp_type(2), 20), std::domain_error);
+}
+
+void test_spots_0F1()
+{
+   mp_type tolerance = 2e-20;
+
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq_precision({}, { mp_type(3) }, mp_type(0), 20), 1);
+   BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq_precision({}, { mp_type(-3) }, mp_type(0), 20), 1);
+   //BOOST_CHECK_EQUAL(boost::math::hypergeometric_pFq_precision({}, { mp_type(0) }, mp_type(0), 20), 1);
+
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({}, { mp_type(0) }, mp_type(-1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({}, { mp_type(-1) }, mp_type(-1), 20), std::domain_error);
+   BOOST_CHECK_THROW(boost::math::hypergeometric_pFq_precision({}, { mp_type(-10) }, mp_type(-5), 20), std::domain_error);
+
+   static const boost::array<boost::array<mp_type, 3>, 35> hypergeometric_pFq_integer_data = { {
+      { SC_(4.0), SC_(-20.0),  SC_(-0.012889714201783047561923257996127233830940165138385) },
+      { SC_(8.0), SC_(-20.0),  SC_(0.046498609282365144223175012935939437508273248399881) },
+      { SC_(12.0), SC_(-20.0),  SC_(0.16608847431869756642136191351311569335145459224622) },
+      { SC_(16.0), SC_(-20.0),  SC_(0.27230484709157170329168048388841880599105216477631) },
+      //{ SC_(20.0), SC_(-20.0),  SC_(0.35865872656868844615709101792040025253126126604266) },
+      { SC_(4.0), SC_(-16.0),  SC_(-0.027293644412433023379286103818840667403690937153604) },
+      { SC_(8.0), SC_(-16.0),  SC_(0.098618710511372349330666801041676087431136532039702) },
+      { SC_(12.0), SC_(-16.0),  SC_(0.24360114226383905073379763460037817885919457531523) },
+      //{ SC_(16.0), SC_(-16.0),  SC_(0.35635186318802906043824855864337727878754460163525) },
+      //{ SC_(20.0), SC_(-16.0),  SC_(0.44218381382689101428948260613085371477815110358789) },
+      { SC_(4.0), SC_(-12.0),  SC_(-0.021743572290699436419371120781513860006290363262907) },
+      { SC_(8.0), SC_(-12.0),  SC_(0.19025625754362006866949730683824627505504067855043) },
+      //{ SC_(12.0), SC_(-12.0),  SC_(0.35251228238278927379621049815222218665165551016489) },
+      //{ SC_(16.0), SC_(-12.0),  SC_(0.46415411486674623230458980010115972932474705884865) },
+      //{ SC_(20.0), SC_(-12.0),  SC_(0.54394918325286018927327004362535051310016558628741) },
+      { SC_(4.0), SC_(-8.0),  SC_(0.056818744289274872033266550620647787396712125304880) },
+      //{ SC_(8.0), SC_(-8.0),  SC_(0.34487371876996263249797701802458885718691612997456) },
+      //{ SC_(12.0), SC_(-8.0),  SC_(0.50411654015891701804499796523449656998841355305043) },
+      //{ SC_(16.0), SC_(-8.0),  SC_(0.60191459981670594041254437708158847428118361245442) },
+      //{ SC_(20.0), SC_(-8.0),  SC_(0.66770752550930138035694866478078941681114294465418) },
+      //{ SC_(4.0), SC_(-4.0),  SC_(0.32262860540671645526863760914000166725449779629143) },
+      //{ SC_(8.0), SC_(-4.0),  SC_(0.59755773349355150397404772151441126513126998265958) },
+      //{ SC_(12.0), SC_(-4.0),  SC_(0.71337465206009117934071859694314971137807212605147) },
+      //{ SC_(16.0), SC_(-4.0),  SC_(0.77734333649378860739496954157535257278092349684783) },
+      //{ SC_(20.0), SC_(-4.0),  SC_(0.81794177985447769150469288350369205683856312760890) },
+
+      { SC_(4.0), SC_(4.0),  SC_(2.5029568338152582758923890008139391395035041790831) },
+      { SC_(8.0), SC_(4.0),  SC_(1.6273673128576761227855719910743734060605725722129) },
+      { SC_(12.0), SC_(4.0),  SC_(1.3898419290864057799739567227851793491657442624207) },
+      { SC_(16.0), SC_(4.0),  SC_(1.2817098157957427946677711269410726972209834860612) },
+      { SC_(20.0), SC_(4.0),  SC_(1.2202539302152377230940386181201477276788392792437) },
+      { SC_(4.0), SC_(8.0),  SC_(5.5616961007411965409200003309686924059253894118586) },
+      { SC_(8.0), SC_(8.0),  SC_(2.5877053985451664722152913482683136948296873738479) },
+      { SC_(12.0), SC_(8.0),  SC_(1.9166410733572697158003086323981583993970490592046) },
+      { SC_(16.0), SC_(8.0),  SC_(1.6370675016890669952237854163997946987362497613701) },
+      { SC_(20.0), SC_(8.0),  SC_(1.4862852701827990444915220582410007454379891584086) },
+      { SC_(4.0), SC_(12.0),  SC_(11.419268276211177842169936131590385979116019595164) },
+      { SC_(8.0), SC_(12.0),  SC_(4.0347215359576567066789638314925802225312840819037) },
+      { SC_(12.0), SC_(12.0),  SC_(2.6242497527837800417573064942486918368886996538285) },
+      { SC_(16.0), SC_(12.0),  SC_(2.0840468784170876805932772732753387258909164486511) },
+      { SC_(20.0), SC_(12.0),  SC_(1.8071042457762091748544382847762106786633952487005) },
+      { SC_(4.0), SC_(16.0),  SC_(22.132051970576036053853444648907108439504682530918) },
+      { SC_(8.0), SC_(16.0),  SC_(6.1850485247748975008808779795786699492711191898792) },
+      { SC_(12.0), SC_(16.0),  SC_(3.5694322843488018916484224923627864928705138154372) },
+      { SC_(16.0), SC_(16.0),  SC_(2.6447371137201451261118187672029372265909501355722) },
+      { SC_(20.0), SC_(16.0),  SC_(2.1934058398888071720297525592515838555602675797235) },
+      { SC_(4.0), SC_(20.0),  SC_(41.021743268279206331672552645354782698296383424328) },
+      { SC_(8.0), SC_(20.0),  SC_(9.3414225299809886395081381945971250426599939097753) },
+      { SC_(12.0), SC_(20.0),  SC_(4.8253866205826406499959001774187695527272168375992) },
+      { SC_(16.0), SC_(20.0),  SC_(3.3462305133519485784864062004430532216764447939942) },
+      { SC_(20.0), SC_(20.0),  SC_(2.6578698872220394617444624241257799193518140676691) },
+      } };
+
+   for (auto row = hypergeometric_pFq_integer_data.begin(); row != hypergeometric_pFq_integer_data.end(); ++row)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::hypergeometric_pFq_precision({}, { (*row)[0] }, (*row)[1], 20), (*row)[2], tolerance);
+   }
+}
+
+void test_spots_1F1()
+{
+   typedef mp_type T;
+#include "hypergeometric_1F1.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_1F1.begin(); row != hypergeometric_1F1.end(); ++row)
+   {
+      try {
+         mp_type norm;
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0] }, { (*row)[1] }, (*row)[2], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[3], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_1F1_b()
+{
+   typedef mp_type T;
+#include "hypergeometric_1F1_big.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_1F1_big.begin(); row != hypergeometric_1F1_big.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0] }, { (*row)[1] }, (*row)[2], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[3], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_2F1()
+{
+   typedef mp_type T;
+#include "hypergeometric_2F1.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_2F1.begin(); row != hypergeometric_2F1.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[4], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_0F2()
+{
+   typedef mp_type T;
+#include "hypergeometric_0F2.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_0F2.begin(); row != hypergeometric_0F2.end(); ++row)
+   {
+      try {
+         T result = boost::math::hypergeometric_pFq_precision({}, { (*row)[0], (*row)[1] }, (*row)[2], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[3], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_1F2()
+{
+   typedef mp_type T;
+#include "hypergeometric_1F2.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_1F2.begin(); row != hypergeometric_1F2.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[4], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+void test_spots_2F2()
+{
+   typedef mp_type T;
+#include "hypergeometric_2F2.ipp"
+
+   mp_type tolerance = 2e-20;
+
+   for (auto row = hypergeometric_2F2.begin(); row != hypergeometric_2F2.end(); ++row)
+   {
+      try {
+         mp_type result = boost::math::hypergeometric_pFq_precision({ (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4], 20);
+         BOOST_CHECK_CLOSE_FRACTION(result, (*row)[5], tolerance);
+      }
+      catch (const boost::math::evaluation_error&) {}
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_spots_1F0();
+   test_spots_0F1();
+   test_spots_1F1();
+   test_spots_1F1_b();
+   test_spots_2F1();
+   test_spots_0F2();
+   test_spots_1F2();
+   test_spots_2F2();
+
+   mpfr_free_cache();
+}
+
diff --git a/src/boost/libs/math/test/test_pareto.cpp b/src/boost/libs/math/test/test_pareto.cpp
new file mode 100644
index 000000000..169a909bd
--- /dev/null
+++ b/src/boost/libs/math/test/test_pareto.cpp
@@ -0,0 +1,369 @@
+// Copyright Paul A. Bristow 2007, 2009.
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_pareto.cpp
+
+// http://en.wikipedia.org/wiki/pareto_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda3661.htm
+// Also:
+// Weisstein, Eric W. "pareto Distribution."
+// From MathWorld--A Wolfram Web Resource.
+// http://mathworld.wolfram.com/paretoDistribution.html
+
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+# pragma warning (disable : 4996) // POSIX name for this item is deprecated
+# pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type
+# pragma warning (disable : 4180) // qualifier applied to function type has no meaning; ignored
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+#endif
+
+#include <boost/math/tools/test.hpp> // for real_concept
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/pareto.hpp>
+    using boost::math::pareto_distribution;
+#include <boost/math/tools/test.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+  template <class RealType>
+  void check_pareto(RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
+  {
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      pareto_distribution<RealType>(scale, shape),   // distribution.
+      x),                                            // random variable.
+      p,                                             // probability.
+      tol);                                          // tolerance eps.
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      complement(
+      pareto_distribution<RealType>(scale, shape),   // distribution.
+      x)),                                           // random variable.
+      q,                                             // probability complement.
+      tol);                                          // tolerance eps.
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+      pareto_distribution<RealType>(scale, shape),   // distribution.
+      p),                                            // probability.
+      x,                                             // random variable.
+      tol);                                          // tolerance eps.
+    BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+      complement(
+      pareto_distribution<RealType>(scale, shape),    // distribution.
+      q)),                                        // probability complement.
+      x,                                             // random variable.
+      tol);                                          // tolerance eps.
+  } // check_pareto
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks.
+   //
+   // Tolerance are based on units of epsilon, but capped at
+   // double precision, since that's the limit of our test data:
+   //
+   RealType tol = (std::max)((RealType)boost::math::tools::epsilon<double>(), boost::math::tools::epsilon<RealType>());
+   RealType tol5eps = tol * 5;
+   RealType tol10eps = tol * 10;
+   RealType tol100eps = tol * 100;
+   RealType tol1000eps = tol * 1000;
+
+   check_pareto(
+      static_cast<RealType>(1.1L), //
+      static_cast<RealType>(5.5L),
+      static_cast<RealType>(2.2L),
+      static_cast<RealType>(0.97790291308792L),
+      static_cast<RealType>(0.0220970869120796L),
+      tol10eps * 4);
+
+   check_pareto(
+      static_cast<RealType>(0.5L),
+      static_cast<RealType>(10.1L),
+      static_cast<RealType>(1.5L),
+      static_cast<RealType>(0.99998482686481L),
+      static_cast<RealType>(1.51731351900608e-005L),
+      tol100eps * 1000); // Much less accurate as p close to unity.
+
+   check_pareto(
+      static_cast<RealType>(0.1L),
+      static_cast<RealType>(2.3L),
+      static_cast<RealType>(1.5L),
+      static_cast<RealType>(0.99802762220697L),
+      static_cast<RealType>(0.00197237779302972L),
+      tol1000eps);
+
+   // Example from 23.3 page 259
+   check_pareto(
+      static_cast<RealType>(2.30444301457005L),
+      static_cast<RealType>(4),
+      static_cast<RealType>(2.4L),
+      static_cast<RealType>(0.15L),
+      static_cast<RealType>(0.85L),
+      tol100eps);
+
+   check_pareto(
+      static_cast<RealType>(2),
+      static_cast<RealType>(3),
+      static_cast<RealType>(3.4L),
+      static_cast<RealType>(0.796458375737838L),
+      static_cast<RealType>(0.203541624262162L),
+      tol10eps);
+
+   check_pareto( // Probability near 0.5
+      static_cast<RealType>(2),
+      static_cast<RealType>(2),
+      static_cast<RealType>(3),
+      static_cast<RealType>(0.5555555555555555555555555555555555555556L),
+      static_cast<RealType>(0.4444444444444444444444444444444444444444L),
+      tol5eps); // accurate.
+
+
+   // Tests for:
+
+   // pdf for shapes 1, 2 & 3 (exact)
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(pareto_distribution<RealType>(1, 1), 1),
+      static_cast<RealType>(1), //
+      tol5eps);
+
+    BOOST_CHECK_CLOSE_FRACTION(   pdf(pareto_distribution<RealType>(1, 2), 1),
+      static_cast<RealType>(2), //
+      tol5eps);
+
+     BOOST_CHECK_CLOSE_FRACTION(   pdf(pareto_distribution<RealType>(1, 3), 1),
+      static_cast<RealType>(3), //
+      tol5eps);
+
+   // cdf
+   BOOST_CHECK_EQUAL( // x = scale
+      cdf(pareto_distribution<RealType>(1, 1), 1),
+      static_cast<RealType>(0) );
+
+   // Compare with values from StatCalc K. Krishnamoorthy,  ISBN 1-58488-635-8 eq 23.1.3
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4)),
+      static_cast<RealType>(0.929570372227626L), tol5eps);
+
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4)),
+      static_cast<RealType>(1 - 0.0704296277723743L), tol5eps);
+
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(complement(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4))),
+      static_cast<RealType>(0.0704296277723743L), tol5eps);
+
+   // quantile
+   BOOST_CHECK_EQUAL( // x = scale
+      quantile(pareto_distribution<RealType>(1, 1), 0),
+      static_cast<RealType>(1) );
+
+   BOOST_CHECK_EQUAL( // x = scale
+      quantile(complement(pareto_distribution<RealType>(1, 1), 1)),
+      static_cast<RealType>(1) );
+
+   BOOST_CHECK_CLOSE_FRACTION( // small x
+      cdf(complement(pareto_distribution<RealType>(2, 5), static_cast<RealType>(3.4))),
+      static_cast<RealType>(0.0704296277723743L), tol5eps);
+
+    using namespace std; // ADL of std names.
+
+    pareto_distribution<RealType> pareto15(1, 5);
+    // Note: shape must be big enough (5) that all moments up to kurtosis are defined
+    // to allow all functions to be tested.
+
+    // mean:
+    BOOST_CHECK_CLOSE_FRACTION(
+       mean(pareto15), static_cast<RealType>(1.25), tol5eps); // 1.25 == 5/4
+    BOOST_CHECK_EQUAL(
+       mean(pareto15), static_cast<RealType>(1.25)); // 1.25 == 5/4 (expect exact so check equal)
+
+    pareto_distribution<RealType> p12(1, 2); //
+    BOOST_CHECK_EQUAL(
+       mean(p12), static_cast<RealType>(2)); // Exactly two.
+
+    // variance:
+   BOOST_CHECK_CLOSE_FRACTION(
+       variance(pareto15), static_cast<RealType>(0.10416666666666667L), tol5eps);
+    // std deviation:
+    BOOST_CHECK_CLOSE_FRACTION(
+       standard_deviation(pareto15), static_cast<RealType>(0.32274861218395140L), tol5eps);
+    // hazard:   No independent test values found yet.
+    //BOOST_CHECK_CLOSE_FRACTION(
+    //   hazard(pareto15, x), pdf(pareto15, x) / cdf(complement(pareto15, x)), tol5eps);
+    //// cumulative hazard:
+    //BOOST_CHECK_CLOSE_FRACTION(
+    //   chf(pareto15, x), -log(cdf(complement(pareto15, x))), tol5eps);
+    //// coefficient_of_variation:
+    BOOST_CHECK_CLOSE_FRACTION(
+       coefficient_of_variation(pareto15), static_cast<RealType>(0.25819888974716110L), tol5eps);
+    // mode:
+    BOOST_CHECK_CLOSE_FRACTION(
+       mode(pareto15), static_cast<RealType>(1), tol5eps);
+
+    BOOST_CHECK_CLOSE_FRACTION(
+       median(pareto15), static_cast<RealType>(1.1486983549970351L), tol5eps);
+
+    // skewness:
+    BOOST_CHECK_CLOSE_FRACTION(
+       skewness(pareto15), static_cast<RealType>(4.6475800154489004L), tol5eps);
+    // kurtosis:
+    BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis(pareto15), static_cast<RealType>(73.8L), tol5eps);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE_FRACTION(
+       kurtosis_excess(pareto15), static_cast<RealType>(70.8L), tol5eps);
+    // Check difference between kurtosis and excess:
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(pareto15), kurtosis(pareto15) - static_cast<RealType>(3L), tol5eps);
+    // Check kurtosis excess = kurtosis - 3;
+
+    RealType expected_entropy = 1 + RealType(1)/RealType(5) + log(RealType(1)/RealType(5));
+    BOOST_CHECK_CLOSE_FRACTION(
+      entropy(pareto15), expected_entropy, tol5eps);
+
+    // Error condition checks:
+    check_out_of_range<pareto_distribution<RealType> >(1, 1);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(0, 1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(1, 0), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(-1, 1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(1, -1), 0), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(pdf(pareto_distribution<RealType>(1, 1), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(cdf(pareto_distribution<RealType>(1, 1), 0), std::domain_error);
+
+    BOOST_MATH_CHECK_THROW(quantile(pareto_distribution<RealType>(1, 1), -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(pareto_distribution<RealType>(1, 1), 2), std::domain_error);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate pareto distribution using the two convenience methods:
+   boost::math::pareto myp1(1., 1); // Using typedef
+   pareto_distribution<> myp2(1., 1); // Using default RealType double.
+  boost::math::pareto pareto11; // Use default values (scale = 1, shape = 1).
+  // Note NOT pareto11() as the compiler will interpret as a function!
+   // Basic sanity-check spot values.
+
+  BOOST_CHECK_EQUAL(pareto11.scale(), 1); // Check defaults again.
+  BOOST_CHECK_EQUAL(pareto11.shape(), 1);
+  BOOST_CHECK_EQUAL(myp1.scale(), 1);
+  BOOST_CHECK_EQUAL(myp1.shape(), 1);
+  BOOST_CHECK_EQUAL(myp2.scale(), 1);
+  BOOST_CHECK_EQUAL(myp2.shape(), 1);
+
+  // Test range and support using double only,
+  // because it supports numeric_limits max for pseudo-infinity.
+  BOOST_CHECK_EQUAL(range(myp2).first, 0); // range 0 to +infinity
+  BOOST_CHECK_EQUAL(range(myp2).second, (numeric_limits<double>::max)());
+  BOOST_CHECK_EQUAL(support(myp2).first, myp2.scale()); // support scale to + infinity.
+  BOOST_CHECK_EQUAL(support(myp2).second, (numeric_limits<double>::max)());
+
+  // Check some bad parameters to the distribution.
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::pareto mypm1(-1, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp0(0, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp1m1(1, -1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp10(1, 0), std::domain_error); // Using typedef
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(-1, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(0, 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(1, -1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(1, 0), std::domain_error); // Using typedef
+#endif
+
+  // Check some moments that should fail because shape not big enough.
+  BOOST_MATH_CHECK_THROW(variance(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(standard_deviation(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(skewness(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis(myp2), std::domain_error);
+  BOOST_MATH_CHECK_THROW(kurtosis_excess(myp2), std::domain_error);
+
+  // Test on extreme values of distribution parameters,
+  // using just double because it has numeric_limit infinity etc.
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(boost::math::pareto mypinf1(+std::numeric_limits<double>::infinity(), 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto myp1inf(1, +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto mypinf1(+std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+#else
+  BOOST_MATH_CHECK_THROW(boost::math::pareto(+std::numeric_limits<double>::infinity(), 1), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(1, +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+   BOOST_MATH_CHECK_THROW(boost::math::pareto(+std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()), std::domain_error); // Using typedef
+#endif
+
+  // Test on extreme values of random variate x, using just double because it has numeric_limit infinity etc..
+  // No longer allow x to be + or - infinity, then these tests should throw.
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+
+  BOOST_CHECK_EQUAL(pdf(pareto11, 0.5), 0); // x < scale but > 0
+  BOOST_CHECK_EQUAL(pdf(pareto11, (std::numeric_limits<double>::min)()), 0); // x almost zero but > 0
+  BOOST_CHECK_EQUAL(pdf(pareto11, 1), 1); // x == scale, result == shape == 1
+  BOOST_CHECK_EQUAL(pdf(pareto11, +(std::numeric_limits<double>::max)()), 0); // x = +max, pdf has fallen to zero.
+
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, 0), std::domain_error); // x == 0
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -1), std::domain_error); // x = -1
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -(std::numeric_limits<double>::max)()), std::domain_error); // x = - max
+  BOOST_MATH_CHECK_THROW(pdf(pareto11, -(std::numeric_limits<double>::min)()), std::domain_error); // x = - min
+
+  BOOST_CHECK_EQUAL(cdf(pareto11, 1), 0); // x == scale, cdf = zero.
+  BOOST_CHECK_EQUAL(cdf(pareto11, +(std::numeric_limits<double>::max)()), 1); // x = + max, cdf = unity.
+
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, 0), std::domain_error); // x == 0
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, -(std::numeric_limits<double>::min)()), std::domain_error); // x = - min,
+  BOOST_MATH_CHECK_THROW(cdf(pareto11, -(std::numeric_limits<double>::max)()), std::domain_error); // x = - max,
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tol5eps = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tol5eps = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Compiling...
+test_pareto.cpp
+Linking...
+Embedding manifest...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_pareto.exe"
+Running 1 test case...
+*** No errors detected
+
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_poisson.cpp b/src/boost/libs/math/test/test_poisson.cpp
new file mode 100644
index 000000000..934395fe8
--- /dev/null
+++ b/src/boost/libs/math/test/test_poisson.cpp
@@ -0,0 +1,650 @@
+// test_poisson.cpp
+
+// Copyright Paul A. Bristow 2007.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Basic sanity test for Poisson Cumulative Distribution Function.
+
+#define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
+
+#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
+#  define TEST_FLOAT
+#  define TEST_DOUBLE
+#  define TEST_LDOUBLE
+#  define TEST_REAL_CONCEPT
+#endif
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/poisson.hpp>
+    using boost::math::poisson_distribution;
+#include <boost/math/tools/test.hpp> // for real_concept
+
+#include <boost/math/special_functions/gamma.hpp> // for (incomplete) gamma.
+//   using boost::math::qamma_Q;
+#include "table_type.hpp"
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+   using std::showpoint;
+   using std::ios;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType> // Any floating-point type RealType.
+void test_spots(RealType)
+{
+  // Basic sanity checks, tolerance is about numeric_limits<RealType>::digits10 decimal places,
+   // guaranteed for type RealType, eg 6 for float, 15 for double,
+   // expressed as a percentage (so -2) for BOOST_CHECK_CLOSE,
+
+   int decdigits = numeric_limits<RealType>::digits10;
+  // May eb >15 for 80 and 128-bit FP types.
+  if (decdigits <= 0)
+  { // decdigits is not defined, for example real concept,
+    // so assume precision of most test data is double (for example, MathCAD).
+     decdigits = numeric_limits<double>::digits10; // == 15 for 64-bit
+  }
+  if (decdigits > 15 ) // numeric_limits<double>::digits10)
+  { // 15 is the accuracy of the MathCAD test data.
+    decdigits = 15; // numeric_limits<double>::digits10;
+  }
+
+   decdigits -= 1; // Perhaps allow some decimal digit(s) margin of numerical error.
+   RealType tolerance = static_cast<RealType>(std::pow(10., static_cast<double>(2-decdigits))); // 1e-6 (-2 so as %)
+   tolerance *= 2; // Allow some bit(s) small margin (2 means + or - 1 bit) of numerical error.
+   // Typically 2e-13% = 2e-15 as fraction for double.
+
+   // Sources of spot test values:
+
+  // Many be some combinations for which the result is 'exact',
+  // or at least is good to 40 decimal digits.
+   // 40 decimal digits includes 128-bit significand User Defined Floating-Point types,
+   
+   // Best source of accurate values is:
+   // Mathworld online calculator (40 decimal digits precision, suitable for up to 128-bit significands)
+   // http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=GammaRegularized
+   // GammaRegularized is same as gamma incomplete, gamma or gamma_q(a, x) or Q(a, z).
+
+  // http://documents.wolfram.com/calculationcenter/v2/Functions/ListsMatrices/Statistics/PoissonDistribution.html
+
+  // MathCAD defines ppois(k, lambda== mean) as k integer, k >=0.
+  // ppois(0, 5) =  6.73794699908547e-3
+  // ppois(1, 5) = 0.040427681994513;
+  // ppois(10, 10) = 5.830397501929850E-001
+  // ppois(10, 1) = 9.999999899522340E-001
+  // ppois(5,5) = 0.615960654833065
+
+  // qpois returns inverse Poisson distribution, that is the smallest (floor) k so that ppois(k, lambda) >= p
+  // p is real number, real mean lambda > 0
+  // k is approximately the integer for which probability(X <= k) = p
+  // when random variable X has the Poisson distribution with parameters lambda.
+  // Uses discrete bisection.
+  // qpois(6.73794699908547e-3, 5) = 1
+  // qpois(0.040427681994513, 5) = 
+
+  // Test Poisson with spot values from MathCAD 'known good'.
+
+  using boost::math::poisson_distribution;
+  using  ::boost::math::poisson;
+  using  ::boost::math::cdf;
+  using  ::boost::math::pdf;
+
+   // Check that bad arguments throw.
+   BOOST_MATH_CHECK_THROW(
+   cdf(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero is bad.
+      static_cast<RealType>(0)),  // even for a good k.
+      std::domain_error); // Expected error to be thrown.
+
+    BOOST_MATH_CHECK_THROW(
+   cdf(poisson_distribution<RealType>(static_cast<RealType>(-1)), // mean negative is bad.
+      static_cast<RealType>(0)),
+      std::domain_error);
+
+   BOOST_MATH_CHECK_THROW(
+   cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unit OK,
+      static_cast<RealType>(-1)),  // but negative events is bad.
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero is bad.
+      static_cast<RealType>(99999)),  // for any k events. 
+      std::domain_error);
+  
+  BOOST_MATH_CHECK_THROW(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero is bad.
+      static_cast<RealType>(99999)),  // for any k events. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(0)), // mean zero.
+      static_cast<RealType>(0.5)),  // probability OK. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(-1)), 
+      static_cast<RealType>(-1)),  // bad probability. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(-1)),  // bad probability. 
+      std::domain_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(1)),  // bad probability. 
+      std::overflow_error);
+
+  BOOST_MATH_CHECK_THROW(
+     quantile(complement(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(0))),  // bad probability. 
+      std::overflow_error);
+
+  BOOST_CHECK_EQUAL(
+     quantile(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(0)),  // bad probability. 
+      0);
+
+  BOOST_CHECK_EQUAL(
+     quantile(complement(poisson_distribution<RealType>(static_cast<RealType>(1)), 
+      static_cast<RealType>(1))),  // bad probability. 
+      0);
+
+  // Check some test values.
+
+  BOOST_CHECK_CLOSE( // mode
+     mode(poisson_distribution<RealType>(static_cast<RealType>(4))), // mode = mean = 4.
+      static_cast<RealType>(4), // mode.
+         tolerance);
+
+  //BOOST_CHECK_CLOSE( // mode
+  //   median(poisson_distribution<RealType>(static_cast<RealType>(4))), // mode = mean = 4.
+  //    static_cast<RealType>(4), // mode.
+      //   tolerance);
+  poisson_distribution<RealType> dist4(static_cast<RealType>(40));
+
+  BOOST_CHECK_CLOSE( // median
+     median(dist4), // mode = mean = 4. median = 40.328333333333333 
+      quantile(dist4, static_cast<RealType>(0.5)), // 39.332839138842637
+         tolerance);
+
+  // PDF
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(4)), // mean 4.
+      static_cast<RealType>(0)),   
+      static_cast<RealType>(1.831563888873410E-002), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(4)), // mean 4.
+      static_cast<RealType>(2)),   
+      static_cast<RealType>(1.465251111098740E-001), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(20)), // mean big.
+      static_cast<RealType>(1)),   //  k small
+      static_cast<RealType>(4.122307244877130E-008), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     pdf(poisson_distribution<RealType>(static_cast<RealType>(4)), // mean 4.
+      static_cast<RealType>(20)),   //  K>> mean 
+      static_cast<RealType>(8.277463646553730E-009), // probability.
+         tolerance);
+  
+  // CDF
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(0)),  // zero k events. 
+      static_cast<RealType>(3.678794411714420E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(1)),  // one k event. 
+      static_cast<RealType>(7.357588823428830E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(2)),  // two k events. 
+      static_cast<RealType>(9.196986029286060E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(10)),  // two k events. 
+      static_cast<RealType>(9.999999899522340E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(15)),  // two k events. 
+      static_cast<RealType>(9.999999999999810E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(16)),  // two k events. 
+      static_cast<RealType>(9.999999999999990E-1), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(17)),  // two k events. 
+      static_cast<RealType>(1.), // probability unity for double.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(33)),  // k events at limit for float unchecked_factorial table. 
+      static_cast<RealType>(1.), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(100)), // mean 100.
+      static_cast<RealType>(33)),  // k events at limit for float unchecked_factorial table. 
+      static_cast<RealType>(6.328271240363390E-15), // probability is tiny.
+         tolerance * static_cast<RealType>(2e11)); // 6.3495253382825722e-015 MathCAD
+      // Note that there two tiny probability are much more different.
+
+   BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(100)), // mean 100.
+      static_cast<RealType>(34)),  // k events at limit for float unchecked_factorial table. 
+      static_cast<RealType>(1.898481372109020E-14), // probability is tiny.
+         tolerance*static_cast<RealType>(2e11)); //         1.8984813721090199e-014 MathCAD
+
+
+ BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(33)), // mean = k
+      static_cast<RealType>(33)),  // k events above limit for float unchecked_factorial table. 
+      static_cast<RealType>(5.461191812386560E-1), // probability.
+         tolerance);
+
+ BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(33)), // mean = k-1
+      static_cast<RealType>(34)),  // k events above limit for float unchecked_factorial table. 
+      static_cast<RealType>(6.133535681502950E-1), // probability.
+         tolerance);
+
+ BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1)), // mean unity.
+      static_cast<RealType>(34)),  // k events above limit for float unchecked_factorial table. 
+      static_cast<RealType>(1.), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(5.)), // mean
+      static_cast<RealType>(5)),  // k events. 
+      static_cast<RealType>(0.615960654833065), // probability.
+         tolerance);
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(5.)), // mean
+      static_cast<RealType>(1)),  // k events. 
+      static_cast<RealType>(0.040427681994512805), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(5.)), // mean
+      static_cast<RealType>(0)),  // k events (uses special case formula, not gamma). 
+      static_cast<RealType>(0.006737946999085467), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(1.)), // mean
+      static_cast<RealType>(0)),  // k events (uses special case formula, not gamma). 
+      static_cast<RealType>(0.36787944117144233), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(10.)), // mean
+      static_cast<RealType>(10)),  // k events. 
+      static_cast<RealType>(0.5830397501929856), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(5)),  // k events. 
+      static_cast<RealType>(0.785130387030406), // probability.
+         tolerance);
+
+  // complement CDF
+  BOOST_CHECK_CLOSE( // Complement CDF
+     cdf(complement(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(5))),  // k events. 
+      static_cast<RealType>(1 - 0.785130387030406), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE( // Complement CDF
+     cdf(complement(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(0))),  // Zero k events (uses special case formula, not gamma).
+      static_cast<RealType>(0.98168436111126578), // probability.
+         tolerance);
+  BOOST_CHECK_CLOSE( // Complement CDF
+     cdf(complement(poisson_distribution<RealType>(static_cast<RealType>(1.)), // mean
+      static_cast<RealType>(0))),  // Zero k events (uses special case formula, not gamma).
+      static_cast<RealType>(0.63212055882855767), // probability.
+         tolerance);
+
+  // Example where k is bigger than max_factorial (>34 for float)
+  // (therefore using log gamma so perhaps less accurate).
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(40.)), // mean
+      static_cast<RealType>(40)),  // k events. 
+      static_cast<RealType>(0.5419181783625430), // probability.
+         tolerance);
+
+   // Quantile & complement.
+  BOOST_CHECK_CLOSE(
+    boost::math::quantile(
+         poisson_distribution<RealType>(5),  // mean.
+         static_cast<RealType>(0.615960654833065)),  //  probability.
+         static_cast<RealType>(5.), // Expect k = 5
+         tolerance/5); // 
+
+  // EQUAL is too optimistic - fails [5.0000000000000124 != 5]
+  // BOOST_CHECK_EQUAL(boost::math::quantile( // 
+  //       poisson_distribution<RealType>(5.),  // mean.
+  //       static_cast<RealType>(0.615960654833065)),  //  probability.
+  //       static_cast<RealType>(5.)); // Expect k = 5 events.
+ 
+  BOOST_CHECK_CLOSE(boost::math::quantile(
+         poisson_distribution<RealType>(4),  // mean.
+         static_cast<RealType>(0.785130387030406)),  //  probability.
+         static_cast<RealType>(5.), // Expect k = 5 events.
+         tolerance/5); 
+
+  // Check on quantile of other examples of inverse of cdf.
+  BOOST_CHECK_CLOSE( 
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(10.)), // mean
+      static_cast<RealType>(10)),  // k events. 
+      static_cast<RealType>(0.5830397501929856), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(boost::math::quantile( // inverse of cdf above.
+         poisson_distribution<RealType>(10.),  // mean.
+         static_cast<RealType>(0.5830397501929856)),  //  probability.
+         static_cast<RealType>(10.), // Expect k = 10 events.
+         tolerance/5); 
+
+
+  BOOST_CHECK_CLOSE(
+     cdf(poisson_distribution<RealType>(static_cast<RealType>(4.)), // mean
+      static_cast<RealType>(5)),  // k events. 
+      static_cast<RealType>(0.785130387030406), // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(boost::math::quantile( // inverse of cdf above.
+         poisson_distribution<RealType>(4.),  // mean.
+         static_cast<RealType>(0.785130387030406)),  //  probability.
+         static_cast<RealType>(5.), // Expect k = 10 events.
+         tolerance/5); 
+
+
+
+  //BOOST_CHECK_CLOSE(boost::math::quantile(
+  //       poisson_distribution<RealType>(5),  // mean.
+  //       static_cast<RealType>(0.785130387030406)),  //  probability.
+  //        // 6.1882832344329559 result but MathCAD givest smallest integer ppois(k, mean) >= prob
+  //       static_cast<RealType>(6.), // Expect k = 6 events. 
+  //       tolerance/5); 
+
+  //BOOST_CHECK_CLOSE(boost::math::quantile(
+  //       poisson_distribution<RealType>(5),  // mean.
+  //       static_cast<RealType>(0.77)),  //  probability.
+  //        // 6.1882832344329559 result but MathCAD givest smallest integer ppois(k, mean) >= prob
+  //       static_cast<RealType>(7.), // Expect k = 6 events. 
+  //       tolerance/5); 
+
+  //BOOST_CHECK_CLOSE(boost::math::quantile(
+  //       poisson_distribution<RealType>(5),  // mean.
+  //       static_cast<RealType>(0.75)),  //  probability.
+  //        // 6.1882832344329559 result but MathCAD givest smallest integer ppois(k, mean) >= prob
+  //       static_cast<RealType>(6.), // Expect k = 6 events. 
+  //       tolerance/5); 
+
+  BOOST_CHECK_CLOSE(
+    boost::math::quantile(
+         complement(
+           poisson_distribution<RealType>(4),
+           static_cast<RealType>(1 - 0.785130387030406))),  // complement.
+           static_cast<RealType>(5), // Expect k = 5 events.
+         tolerance/5);
+
+  BOOST_CHECK_EQUAL(boost::math::quantile( // Check case when probability < cdf(0) (== pdf(0))
+         poisson_distribution<RealType>(1),  // mean is small, so cdf and pdf(0) are about 0.35.
+         static_cast<RealType>(0.0001)),  //  probability < cdf(0).
+         static_cast<RealType>(0)); // Expect k = 0 events exactly.
+          
+  BOOST_CHECK_EQUAL(
+    boost::math::quantile(
+         complement(
+           poisson_distribution<RealType>(1),
+           static_cast<RealType>(0.9999))),  // complement, so 1-probability < cdf(0)
+           static_cast<RealType>(0)); // Expect k = 0 events exactly.
+
+  //
+  // Test quantile policies against test data:
+  //
+#define T RealType
+#include "poisson_quantile.ipp"
+
+  for(unsigned i = 0; i < poisson_quantile_data.size(); ++i)
+  {
+     using namespace boost::math::policies;
+     typedef policy<discrete_quantile<boost::math::policies::real> > P1;
+     typedef policy<discrete_quantile<integer_round_down> > P2;
+     typedef policy<discrete_quantile<integer_round_up> > P3;
+     typedef policy<discrete_quantile<integer_round_outwards> > P4;
+     typedef policy<discrete_quantile<integer_round_inwards> > P5;
+     typedef policy<discrete_quantile<integer_round_nearest> > P6;
+     RealType tol = boost::math::tools::epsilon<RealType>() * 20;
+     if(!boost::is_floating_point<RealType>::value)
+        tol *= 7;
+     //
+     // Check full real value first:
+     //
+     poisson_distribution<RealType, P1> p1(poisson_quantile_data[i][0]);
+     RealType x = quantile(p1, poisson_quantile_data[i][1]);
+     BOOST_CHECK_CLOSE_FRACTION(x, poisson_quantile_data[i][2], tol);
+     x = quantile(complement(p1, poisson_quantile_data[i][1]));
+     BOOST_CHECK_CLOSE_FRACTION(x, poisson_quantile_data[i][3], tol * 3);
+     //
+     // Now with round down to integer:
+     //
+     poisson_distribution<RealType, P2> p2(poisson_quantile_data[i][0]);
+     x = quantile(p2, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][2]));
+     x = quantile(complement(p2, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][3]));
+     //
+     // Now with round up to integer:
+     //
+     poisson_distribution<RealType, P3> p3(poisson_quantile_data[i][0]);
+     x = quantile(p3, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, ceil(poisson_quantile_data[i][2]));
+     x = quantile(complement(p3, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, ceil(poisson_quantile_data[i][3]));
+     //
+     // Now with round to integer "outside":
+     //
+     poisson_distribution<RealType, P4> p4(poisson_quantile_data[i][0]);
+     x = quantile(p4, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? floor(poisson_quantile_data[i][2]) : ceil(poisson_quantile_data[i][2]));
+     x = quantile(complement(p4, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? ceil(poisson_quantile_data[i][3]) : floor(poisson_quantile_data[i][3]));
+     //
+     // Now with round to integer "inside":
+     //
+     poisson_distribution<RealType, P5> p5(poisson_quantile_data[i][0]);
+     x = quantile(p5, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? ceil(poisson_quantile_data[i][2]) : floor(poisson_quantile_data[i][2]));
+     x = quantile(complement(p5, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, poisson_quantile_data[i][1] < 0.5f ? floor(poisson_quantile_data[i][3]) : ceil(poisson_quantile_data[i][3]));
+     //
+     // Now with round to nearest integer:
+     //
+     poisson_distribution<RealType, P6> p6(poisson_quantile_data[i][0]);
+     x = quantile(p6, poisson_quantile_data[i][1]);
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][2] + 0.5f));
+     x = quantile(complement(p6, poisson_quantile_data[i][1]));
+     BOOST_CHECK_EQUAL(x, floor(poisson_quantile_data[i][3] + 0.5f));
+  }
+   check_out_of_range<poisson_distribution<RealType> >(1);
+} // template <class RealType>void test_spots(RealType)
+
+//
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can construct normal distribution using the two convenience methods:
+  using namespace boost::math;
+  poisson myp1(2); // Using typedef
+   poisson_distribution<> myp2(2); // Using default RealType double.
+
+   // Basic sanity-check spot values.
+
+  // Some plain double examples & tests:
+  cout.precision(17); // double max_digits10
+  cout.setf(ios::showpoint);
+  
+  poisson mypoisson(4.); // // mean = 4, default FP type is double.
+  cout << "mean(mypoisson, 4.) == " << mean(mypoisson) << endl;
+  cout << "mean(mypoisson, 0.) == " << mean(mypoisson) << endl;
+  cout << "cdf(mypoisson, 2.) == " << cdf(mypoisson, 2.) << endl;
+  cout << "pdf(mypoisson, 2.) == " << pdf(mypoisson, 2.) << endl;
+  
+  // poisson mydudpoisson(0.);
+  // throws (if BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error).
+
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(poisson mydudpoisson(-1), std::domain_error);// Mean must be > 0.
+  BOOST_MATH_CHECK_THROW(poisson mydudpoisson(-1), std::logic_error);// Mean must be > 0.
+#else
+  BOOST_MATH_CHECK_THROW(poisson(-1), std::domain_error);// Mean must be > 0.
+  BOOST_MATH_CHECK_THROW(poisson(-1), std::logic_error);// Mean must be > 0.
+#endif
+  // Passes the check because logic_error is a parent????
+  // BOOST_MATH_CHECK_THROW(poisson mydudpoisson(-1), std::overflow_error); // fails the check
+  // because overflow_error is unrelated - except from std::exception
+  BOOST_MATH_CHECK_THROW(cdf(mypoisson, -1), std::domain_error); // k must be >= 0
+
+  BOOST_CHECK_EQUAL(mean(mypoisson), 4.);
+  BOOST_CHECK_CLOSE(
+  pdf(mypoisson, 2.),  // k events = 2. 
+    1.465251111098740E-001, // probability.
+      5e-13);
+
+  BOOST_CHECK_CLOSE(
+  cdf(mypoisson, 2.),  // k events = 2. 
+    0.238103305553545, // probability.
+      5e-13);
+
+
+#if 0
+  // Compare cdf from finite sum of pdf and gamma_q.
+  using boost::math::cdf;
+  using boost::math::pdf;
+
+  double mean = 4.;
+  cout.precision(17); // double max_digits10
+  cout.setf(ios::showpoint);
+  cout << showpoint << endl;  // Ensure trailing zeros are shown.
+  // This also helps show the expected precision max_digits10
+  //cout.unsetf(ios::showpoint); // No trailing zeros are shown.
+
+  cout << "k          pdf                     sum                  cdf                   diff" << endl;
+  double sum = 0.;
+  for (int i = 0; i <= 50; i++)
+  {
+   cout << i << ' ' ;
+   double p =  pdf(poisson_distribution<double>(mean), static_cast<double>(i));
+   sum += p;
+
+   cout << p << ' ' << sum << ' ' 
+   << cdf(poisson_distribution<double>(mean), static_cast<double>(i)) << ' ';
+     {
+       cout << boost::math::gamma_q<double>(i+1, mean); // cdf
+       double diff = boost::math::gamma_q<double>(i+1, mean) - sum; // cdf -sum
+       cout << setprecision (2) << ' ' << diff; // 0 0 to 4, 1 eps 5 to 9, 10 to 20 2 eps, 21 upwards 3 eps
+      
+     }
+    BOOST_CHECK_CLOSE(
+    cdf(mypoisson, static_cast<double>(i)),
+      sum, // of pdfs.
+      4e-14); // Fails at 2e-14
+   // This call puts the precision etc back to default 6 !!!
+   cout << setprecision(17) << showpoint;
+
+
+     cout << endl;
+  }
+
+   cout << cdf(poisson_distribution<double>(5), static_cast<double>(0)) << ' ' << endl; // 0.006737946999085467
+   cout << cdf(poisson_distribution<double>(5), static_cast<double>(1)) << ' ' << endl; // 0.040427681994512805
+   cout << cdf(poisson_distribution<double>(2), static_cast<double>(3)) << ' ' << endl; // 0.85712346049854715 
+
+   { // Compare approximate formula in Wikipedia with quantile(half)
+     for (int i = 1; i < 100; i++)
+     {
+       poisson_distribution<double> distn(static_cast<double>(i));
+       cout << i << ' ' << median(distn) << ' ' << quantile(distn, 0.5) << ' ' 
+         << median(distn) - quantile(distn, 0.5) << endl; // formula appears to be out-by-one??
+     }  // so quantile(half) used via derived accressors.
+   }
+#endif
+
+   // (Parameter value, arbitrarily zero, only communicates the floating-point type).
+#ifdef TEST_POISSON
+  test_spots(0.0F); // Test float.
+#endif
+#ifdef TEST_DOUBLE
+  test_spots(0.0); // Test double.
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  if (numeric_limits<long double>::digits10 > numeric_limits<double>::digits10)
+  { // long double is better than double (so not MSVC where they are same).
+#ifdef TEST_LDOUBLE
+     test_spots(0.0L); // Test long double.
+#endif
+  }
+
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#ifdef TEST_REAL_CONCEPT
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#endif
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_poisson.exe"
+Running 1 test case...
+mean(mypoisson, 4.) == 4.0000000000000000
+mean(mypoisson, 0.) == 4.0000000000000000
+cdf(mypoisson, 2.) == 0.23810330555354431
+pdf(mypoisson, 2.) == 0.14652511110987343
+*** No errors detected
+
+*/
diff --git a/src/boost/libs/math/test/test_policy.cpp b/src/boost/libs/math/test/test_policy.cpp
new file mode 100644
index 000000000..05ac4b778
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy.cpp
@@ -0,0 +1,177 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+   BOOST_CHECK(is_domain_error<domain_error<ignore_error> >::value);
+   BOOST_CHECK(0 == is_domain_error<pole_error<ignore_error> >::value);
+   BOOST_CHECK(is_pole_error<pole_error<ignore_error> >::value);
+   BOOST_CHECK(0 == is_pole_error<domain_error<ignore_error> >::value);
+   BOOST_CHECK(is_digits10<digits10<ignore_error> >::value);
+   BOOST_CHECK(0 == is_digits10<digits2<ignore_error> >::value);
+
+   BOOST_CHECK((is_same<policy<>::domain_error_type, domain_error<BOOST_MATH_DOMAIN_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<>::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::pole_error_type, pole_error<user_error> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<pole_error<user_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::overflow_error_type, overflow_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<overflow_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::underflow_error_type, underflow_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<underflow_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::denorm_error_type, denorm_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::evaluation_error_type, evaluation_error<errno_on_error> >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<evaluation_error<errno_on_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<indeterminate_result_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<digits2<20> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<digits2<20> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<promote_float<false> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::precision_type, policy<>::precision_type >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<promote_float<false> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<promote_double<false> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::precision_type, policy<>::precision_type >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::promote_float_type,  policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::promote_double_type, promote_double<false> >::value));
+   BOOST_CHECK((is_same<policy<promote_double<false> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::domain_error_type, policy<>::domain_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::pole_error_type, policy<>::pole_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::overflow_error_type, policy<>::overflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::underflow_error_type, policy<>::underflow_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::denorm_error_type, policy<>::denorm_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::evaluation_error_type, policy<>::evaluation_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::indeterminate_result_error_type, policy<>::indeterminate_result_error_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::precision_type, policy<>::precision_type >::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::promote_float_type,  policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<discrete_quantile<integer_round_up> >::discrete_quantile_type, discrete_quantile<integer_round_up> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_2.cpp b/src/boost/libs/math/test/test_policy_2.cpp
new file mode 100644
index 000000000..b86bad456
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_2.cpp
@@ -0,0 +1,47 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::overflow_error_type, overflow_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::denorm_error_type, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<domain_error<ignore_error>, overflow_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_3.cpp b/src/boost/libs/math/test/test_policy_3.cpp
new file mode 100644
index 000000000..4d9061a37
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_3.cpp
@@ -0,0 +1,48 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::precision_type, policy<>::precision_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_float_type, policy<>::promote_float_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<denorm_error<throw_on_error>, domain_error<ignore_error> >::discrete_quantile_type, policy<>::discrete_quantile_type>::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_4.cpp b/src/boost/libs/math/test/test_policy_4.cpp
new file mode 100644
index 000000000..270756d95
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_4.cpp
@@ -0,0 +1,47 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_5.cpp b/src/boost/libs/math/test/test_policy_5.cpp
new file mode 100644
index 000000000..ed3ee17e0
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_5.cpp
@@ -0,0 +1,48 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<normalise<policy<digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> > >::type::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_6.cpp b/src/boost/libs/math/test/test_policy_6.cpp
new file mode 100644
index 000000000..a5531d6b4
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_6.cpp
@@ -0,0 +1,47 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::domain_error_type, domain_error<ignore_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error> >::type::pole_error_type, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::overflow_error_type, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::underflow_error_type, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::denorm_error_type, denorm_error<throw_on_error> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::evaluation_error_type, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::indeterminate_result_error_type, indeterminate_result_error<BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::precision_type, digits2<20> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::promote_float_type, promote_float<false> >::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::promote_double_type, policy<>::promote_double_type>::value));
+   BOOST_CHECK((is_same<normalise<policy<>, digits2<20>, promote_float<false>, discrete_quantile<integer_round_down>, denorm_error<throw_on_error>, domain_error<ignore_error>  >::type::discrete_quantile_type, discrete_quantile<integer_round_down> >::value));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_7.cpp b/src/boost/libs/math/test/test_policy_7.cpp
new file mode 100644
index 000000000..99792ceae
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_7.cpp
@@ -0,0 +1,44 @@
+
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK(check_same(make_policy(), policy<>()));
+   BOOST_CHECK(check_same(make_policy(denorm_error<ignore_error>()), normalise<policy<denorm_error<ignore_error> > >::type()));
+   BOOST_CHECK(check_same(make_policy(digits2<20>()), normalise<policy<digits2<20> > >::type()));
+   BOOST_CHECK(check_same(make_policy(promote_float<false>()), normalise<policy<promote_float<false> > >::type()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>()), normalise<policy<domain_error<ignore_error> > >::type()));
+   BOOST_CHECK(check_same(make_policy(pole_error<ignore_error>()), normalise<policy<pole_error<ignore_error> > >::type()));
+   BOOST_CHECK(check_same(make_policy(indeterminate_result_error<ignore_error>()), normalise<policy<indeterminate_result_error<ignore_error> > >::type()));
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_8.cpp b/src/boost/libs/math/test/test_policy_8.cpp
new file mode 100644
index 000000000..96d5e4e3a
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_8.cpp
@@ -0,0 +1,50 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/test/unit_test.hpp> // for test_main
+#include <iostream>
+
+template <class P1, class P2>
+bool check_same(const P1&, const P2&)
+{
+   if(!boost::is_same<P1, P2>::value)
+   {
+      std::cout << "P1 = " << typeid(P1).name() << std::endl;
+      std::cout << "P2 = " << typeid(P2).name() << std::endl;
+   }
+   return boost::is_same<P1, P2>::value;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>()), policy<domain_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits10<5>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<19> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false> >()));
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>(), promote_double<false>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false>, promote_double<false> >()));
+   BOOST_CHECK(check_same(make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<throw_on_error>(), denorm_error<throw_on_error>(), evaluation_error<ignore_error>(), indeterminate_result_error<throw_on_error>(), digits2<10>(), promote_float<false>(), promote_double<false>(), discrete_quantile<integer_round_down>()), policy<domain_error<ignore_error>, pole_error<ignore_error>, overflow_error<ignore_error>, underflow_error<throw_on_error>, denorm_error<throw_on_error>, evaluation_error<ignore_error>, indeterminate_result_error<throw_on_error>, digits2<10>, promote_float<false>, promote_double<false>, discrete_quantile<integer_round_down> >()));
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_9.cpp b/src/boost/libs/math/test/test_policy_9.cpp
new file mode 100644
index 000000000..6e1be78a5
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_9.cpp
@@ -0,0 +1,95 @@
+#define BOOST_TEST_MAIN
+// Copyright John Maddock 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/policies/policy.hpp>
+#include <boost/math/policies/error_handling.hpp>
+#include <boost/math/tools/precision.hpp>
+
+template <class T>
+BOOST_CONSTEXPR int consume_constexpr(const T&)
+{  return 0;  }
+
+void test()
+{
+   using namespace boost::math::policies;
+   using namespace boost;
+
+#if !defined(BOOST_NO_CXX11_CONSTEXPR) && !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_MATH_DISABLE_CONSTEXPR)
+
+   constexpr auto p1 = make_policy();
+   constexpr auto p2 = make_policy(promote_double<false>());
+   constexpr auto p3 = make_policy(domain_error<user_error>(), pole_error<user_error>(), overflow_error<user_error>(), underflow_error<user_error>(),
+      denorm_error<user_error>(), evaluation_error<user_error>(), rounding_error<user_error>(), indeterminate_result_error<user_error>());
+   constexpr auto p4 = make_policy(promote_float<false>(), promote_double<false>(), assert_undefined<true>(), discrete_quantile<real>(),
+      digits10<10>(), max_series_iterations<100>(), max_root_iterations<20>());
+   constexpr auto p5 = make_policy(digits2<20>());
+
+   constexpr int d = digits<double, policy<> >() + digits_base10<double, policy<> >();
+   constexpr unsigned long s = get_max_series_iterations<policy<> >();
+   constexpr unsigned long r = get_max_root_iterations<policy<> >();
+
+   constexpr double ep = get_epsilon<double, policy<> >();
+   constexpr double ep2 = get_epsilon<double, policy<digits10<7> > >();
+
+   constexpr auto p6 = make_policy(domain_error<ignore_error>(), pole_error<ignore_error>(), overflow_error<ignore_error>(), underflow_error<ignore_error>(),
+      denorm_error<ignore_error>(), evaluation_error<ignore_error>(), rounding_error<ignore_error>(), indeterminate_result_error<ignore_error>());
+
+   constexpr double r1 = raise_domain_error<double>("foo", "Out of range", 0.0, p6);
+   constexpr double r2 = raise_pole_error<double>("func", "msg", 0.0, p6);
+   constexpr double r3 = raise_overflow_error<double>("func", "msg", p6);
+   constexpr double r4 = raise_overflow_error("func", "msg", 0.0, p6);
+   constexpr double r5 = raise_underflow_error<double>("func", "msg", p6);
+   constexpr double r6 = raise_denorm_error("func", "msg", 0.0, p6);
+   constexpr double r7 = raise_evaluation_error("func", "msg", 0.0, p6);
+   constexpr float r8 = raise_rounding_error("func", "msg", 0.0, 0.0f, p6);
+   constexpr float r9 = raise_indeterminate_result_error("func", "msg", 0.0, 0.0f, p6);
+
+   consume_constexpr(p1);
+   consume_constexpr(p2);
+   consume_constexpr(p3);
+   consume_constexpr(p4);
+   consume_constexpr(p5);
+   consume_constexpr(p6);
+   consume_constexpr(d);
+   consume_constexpr(s);
+   consume_constexpr(r);
+   consume_constexpr(ep);
+   consume_constexpr(ep2);
+   consume_constexpr(r1);
+   consume_constexpr(r2);
+   consume_constexpr(r3);
+   consume_constexpr(r4);
+   consume_constexpr(r5);
+   consume_constexpr(r6);
+   consume_constexpr(r7);
+   consume_constexpr(r8);
+   consume_constexpr(r9);
+
+#endif
+
+#ifndef BOOST_NO_CXX11_NOEXCEPT
+
+   static_assert(noexcept(make_policy()), "This expression should be noexcept");
+   static_assert(noexcept(make_policy(promote_double<false>())), "This expression should be noexcept");
+   static_assert(noexcept(make_policy(domain_error<user_error>(), pole_error<user_error>(), overflow_error<user_error>(), underflow_error<user_error>(),
+      denorm_error<user_error>(), evaluation_error<user_error>(), rounding_error<user_error>(), indeterminate_result_error<user_error>())), "This expression should be noexcept");
+   static_assert(noexcept(make_policy(promote_float<false>(), promote_double<false>(), assert_undefined<true>(), discrete_quantile<boost::math::policies::real>(),
+      digits10<10>(), max_series_iterations<100>(), max_root_iterations<20>())), "This expression should be noexcept");
+
+   static_assert(noexcept(digits<double, policy<> >() + digits_base10<double, policy<> >()), "This expression should be noexcept");
+   static_assert(noexcept(get_max_series_iterations<policy<> >()), "This expression should be noexcept");
+   static_assert(noexcept(get_max_root_iterations<policy<> >()), "This expression should be noexcept");
+
+   static_assert(noexcept(get_epsilon<double, policy<> >()), "This expression should be noexcept");
+
+#endif
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+
+
diff --git a/src/boost/libs/math/test/test_policy_sf.cpp b/src/boost/libs/math/test/test_policy_sf.cpp
new file mode 100644
index 000000000..93701c3e7
--- /dev/null
+++ b/src/boost/libs/math/test/test_policy_sf.cpp
@@ -0,0 +1,139 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions.hpp>
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file provides very basic sanity checks for the special functions
+// declared with BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS, basically we
+// just want to make sure that the inline forwarding functions do
+// actually forward to the right function!!
+//
+
+namespace test{
+
+   typedef boost::math::policies::policy<> policy;
+
+   BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(policy)
+
+}
+
+#define TEST_POLICY_SF(call)\
+   BOOST_CHECK_EQUAL(boost::math::call , test::call)
+
+//
+// Prevent some macro conflicts just in case:
+//
+#undef fpclassify
+#undef isnormal
+#undef isinf
+#undef isfinite
+#undef isnan
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   int i;
+   TEST_POLICY_SF(tgamma(3.0));
+   TEST_POLICY_SF(tgamma1pm1(0.25));
+   TEST_POLICY_SF(lgamma(50.0));
+   TEST_POLICY_SF(lgamma(50.0, &i));
+   TEST_POLICY_SF(digamma(12.0));
+   TEST_POLICY_SF(tgamma_ratio(12.0, 13.5));
+   TEST_POLICY_SF(tgamma_delta_ratio(100.0, 0.25));
+   TEST_POLICY_SF(factorial<double>(8));
+   TEST_POLICY_SF(unchecked_factorial<double>(3));
+   TEST_POLICY_SF(double_factorial<double>(5));
+   TEST_POLICY_SF(rising_factorial(20.5, 5));
+   TEST_POLICY_SF(falling_factorial(10.2, 7));
+   TEST_POLICY_SF(tgamma(12.0, 13.0));
+   TEST_POLICY_SF(tgamma_lower(12.0, 13.0));
+   TEST_POLICY_SF(gamma_p(12.0, 13.0));
+   TEST_POLICY_SF(gamma_q(12.0, 15.0));
+   TEST_POLICY_SF(gamma_p_inv(12.0, 0.25));
+   TEST_POLICY_SF(gamma_q_inv(15.0, 0.25));
+   TEST_POLICY_SF(gamma_p_inva(12.0, 0.25));
+   TEST_POLICY_SF(gamma_q_inva(12.0, 0.25));
+   TEST_POLICY_SF(erf(2.5));
+   TEST_POLICY_SF(erfc(2.5));
+   TEST_POLICY_SF(erf_inv(0.25));
+   TEST_POLICY_SF(erfc_inv(0.25));
+   TEST_POLICY_SF(beta(12.0, 15.0));
+   TEST_POLICY_SF(beta(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(betac(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibeta(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibetac(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibeta_inv(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibetac_inv(12.0, 15.0, 0.25));
+   TEST_POLICY_SF(ibeta_inva(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(ibetac_inva(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(ibeta_invb(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(ibetac_invb(12.0, 0.75, 0.25));
+   TEST_POLICY_SF(gamma_p_derivative(12.0, 15.0));
+   TEST_POLICY_SF(ibeta_derivative(12.0, 15.75, 0.25));
+   TEST_POLICY_SF(fpclassify(12.0));
+   TEST_POLICY_SF(isfinite(12.0));
+   TEST_POLICY_SF(isnormal(12.0));
+   TEST_POLICY_SF(isnan(12.0));
+   TEST_POLICY_SF(isinf(12.0));
+   TEST_POLICY_SF(log1p(0.0025));
+   TEST_POLICY_SF(expm1(0.0025));
+   TEST_POLICY_SF(cbrt(30.0));
+   TEST_POLICY_SF(sqrt1pm1(0.0025));
+   TEST_POLICY_SF(powm1(1.0025, 12.0));
+   TEST_POLICY_SF(legendre_p(5, 0.75));
+   TEST_POLICY_SF(legendre_p(7, 3, 0.75));
+   TEST_POLICY_SF(legendre_q(5, 0.75));
+   TEST_POLICY_SF(legendre_next(2, 0.25, 12.0, 5.0));
+   TEST_POLICY_SF(legendre_next(2, 2, 0.25, 12.0, 5.0));
+   TEST_POLICY_SF(laguerre(5, 12.2));
+   TEST_POLICY_SF(laguerre(7, 3, 5.0));
+   TEST_POLICY_SF(laguerre_next(2, 5.0, 12.0, 5.0));
+   TEST_POLICY_SF(laguerre_next(5, 3, 5.0, 20.0, 10.0));
+   TEST_POLICY_SF(hermite(1, 2.0));
+   TEST_POLICY_SF(hermite_next(2, 2.0, 3.0, 2.0));
+   TEST_POLICY_SF(spherical_harmonic_r(5, 4, 0.75, 0.25));
+   TEST_POLICY_SF(spherical_harmonic_i(5, 4, 0.75, 0.25));
+   TEST_POLICY_SF(ellint_1(0.25));
+   TEST_POLICY_SF(ellint_1(0.25, 0.75));
+   TEST_POLICY_SF(ellint_2(0.25));
+   TEST_POLICY_SF(ellint_2(0.25, 0.75));
+   TEST_POLICY_SF(ellint_3(0.25, 0.75));
+   TEST_POLICY_SF(ellint_3(0.25, 0.125, 0.75));
+   TEST_POLICY_SF(ellint_rc(3.0, 5.0));
+   TEST_POLICY_SF(ellint_rd(2.0, 3.0, 4.0));
+   TEST_POLICY_SF(ellint_rf(2.0, 3.0, 4.0));
+   TEST_POLICY_SF(ellint_rj(2.0, 3.0, 5.0, 0.25));
+   TEST_POLICY_SF(hypot(5.0, 3.0));
+   TEST_POLICY_SF(sinc_pi(3.0));
+   TEST_POLICY_SF(sinhc_pi(2.0));
+   TEST_POLICY_SF(asinh(12.0));
+   TEST_POLICY_SF(acosh(5.0));
+   TEST_POLICY_SF(atanh(0.75));
+   TEST_POLICY_SF(sin_pi(5.0));
+   TEST_POLICY_SF(cos_pi(6.0));
+   TEST_POLICY_SF(cyl_neumann(2.0, 5.0));
+   TEST_POLICY_SF(cyl_neumann(2, 5.0));
+   TEST_POLICY_SF(cyl_bessel_j(2.0, 5.0));
+   TEST_POLICY_SF(cyl_bessel_j(2, 5.0));
+   TEST_POLICY_SF(cyl_bessel_i(3.0, 5.0));
+   TEST_POLICY_SF(cyl_bessel_i(3, 5.0));
+   TEST_POLICY_SF(cyl_bessel_k(3.0, 5.0));
+   TEST_POLICY_SF(cyl_bessel_k(3, 5.0));
+   TEST_POLICY_SF(sph_bessel(3, 5.0));
+   TEST_POLICY_SF(sph_bessel(3, 5));
+   TEST_POLICY_SF(sph_neumann(3, 5.0));
+   TEST_POLICY_SF(sph_neumann(3, 5));
+   
+}
+
+
+
+
diff --git a/src/boost/libs/math/test/test_polygamma.cpp b/src/boost/libs/math/test/test_polygamma.cpp
new file mode 100644
index 000000000..e7d7edbdb
--- /dev/null
+++ b/src/boost/libs/math/test/test_polygamma.cpp
@@ -0,0 +1,96 @@
+//  (C) Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_polygamma.hpp"
+//#include <boost/cstdfloat.hpp>
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*large arguments",           // test data group
+      ".*", 400, 200);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*negative.*",                // test data group
+      ".*", 800, 500);               // test function
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<long double>::digits > std::numeric_limits<double>::digits)
+      && (std::numeric_limits<long double>::digits - std::numeric_limits<double>::digits < 20))
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*bug cases.*",               // test data group
+         ".*", 100, 30);                // test function
+   }
+#endif
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*bug cases.*",               // test data group
+      ".*", 100000, 50000);          // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 10);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_polygamma(0.0F, "float");
+   test_polygamma(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_polygamma(0.0L, "long double");
+   test_polygamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#ifdef BOOST_FLOAT128_C
+   //test_polygamma(BOOST_FLOAT128_C(0.0), "float128_t");
+#endif
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_polygamma.hpp b/src/boost/libs/math/test/test_polygamma.hpp
new file mode 100644
index 000000000..53b316564
--- /dev/null
+++ b/src/boost/libs/math/test/test_polygamma.hpp
@@ -0,0 +1,221 @@
+// Copyright John Maddock 20
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#ifndef BOOST_FLOAT128_C
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#else
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
+#endif
+#endif
+
+#ifdef _MSC_VER
+#pragma warning(disable:4756) // overflow in constant arithmetic
+#endif
+
+template <class Real, class T>
+void do_test_polygamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(POLYGAMMA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(int, value_type);
+#ifdef POLYGAMMA_FUNCTION_TO_TEST
+   pg funcp = POLYGAMMA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::polygamma<value_type>;
+#else
+   pg funcp = boost::math::polygamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test polygamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int1<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "polygamma", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_polygamma(T, const char* name)
+{
+   typedef typename table_type<T>::type value_type;
+
+   boost::array<boost::array<value_type, 3>, 484> data =
+      { { 
+      {{ 1, SC_(0.1250000), SC_(65.388133444988034473142999334395961) }}, {{ 1, SC_(2.250000), SC_(0.55732915450711073927131911933522402) }}, {{ 1, SC_(4.375000), SC_(0.25666408805722660683906428275458774) }}, {{ 1, SC_(6.500000), SC_(0.16628453574995823763989666631218566) }}, {{ 1, SC_(8.625000), SC_(0.12292237374423990274075995315923687) }}, {{ 1, SC_(10.75000), SC_(0.097483848201852104395946001854344927) }}, {{ 1, SC_(12.87500), SC_(0.080764208092843621858393487209278638) }}, {{ 1, SC_(15.00000), SC_(0.068938227847683806226155216756371670) }}, {{ 1, SC_(17.12500), SC_(0.060132263162293455894576107399989891) }}, {{ 1, SC_(19.25000), SC_(0.053320703915617277211139745531295189) }}, {{ 1, SC_(21.37500), SC_(0.047895038036916716105500109226810942) }}, {{ 1, SC_(23.50000), SC_(0.043471416266946770249685779030294199) }}, {{ 1, SC_(25.62500), SC_(0.039795743807625238080963836217545550) }}, {{ 1, SC_(27.75000), SC_(0.036693131333593477569076090983653779) }}, {{ 1, SC_(29.87500), SC_(0.034039266877179098641898178094001935) }}, {{ 1, SC_(32.00000), SC_(0.031743366520302090126581680438741427) }}, {{ 1, SC_(34.12500), SC_(0.029737585673522726661363528635488348) }}, {{ 1, SC_(36.25000), SC_(0.027970204614894933106878169214392067) }}, {{ 1, SC_(38.37500), SC_(0.026401106865951764123858232364900665) }}, {{ 1, SC_(40.50000), SC_(0.024998698201356741322280011143883922) }}, {{ 1, SC_(42.62500), SC_(0.023737757818075642720991864115881164) }}, {{ 1, SC_(44.75000), SC_(0.022597908441287364284087900916682571) }}, {{ 1, SC_(46.87500), SC_(0.021562506914486557632388530071308920) }}, {{ 1, SC_(49.00000), SC_(0.020617826354560516060031453062401102) }}, {{ 1, SC_(51.12500), SC_(0.019752444228552790805040230288386135) }}, {{ 1, SC_(53.25000), SC_(0.018956778300513446216011889734099110) }}, {{ 1, SC_(55.37500), SC_(0.018222730375562878627773770314126276) }}, {{ 1, SC_(57.50000), SC_(0.017543409716574620734228673575882677) }}, {{ 1, SC_(59.62500), SC_(0.016912916093398919581541485278641593) }}, {{ 1, SC_(61.75000), SC_(0.016326167985389235938281994221076159) }}, {{ 1, SC_(63.87500), SC_(0.015778765341125640054231784371915358) }}, {{ 1, SC_(66.00000), SC_(0.015266879048806385777045778219279459) }}, {{ 1, SC_(68.12500), SC_(0.014787161242916062152535888615850260) }}, {{ 1, SC_(70.25000), SC_(0.014336672004276912093324664070489886) }}, {{ 1, SC_(72.37500), SC_(0.013912819061256593888508241399678441) }}, {{ 1, SC_(74.50000), SC_(0.013513307879079644573772830117155790) }}, {{ 1, SC_(76.62500), SC_(0.013136100107643257539226305043251166) }}, {{ 1, SC_(78.75000), SC_(0.012779378799112389298746113446648982) }}, {{ 1, SC_(80.87500), SC_(0.012441519142554280549428650598112729) }}, {{ 1, SC_(83.00000), SC_(0.012121063720980953787190412456820037) }}, {{ 1, SC_(85.12500), SC_(0.011816701495952671887865236708275449) }}, {{ 1, SC_(87.25000), SC_(0.011527249880640584213306489206202069) }}, {{ 1, SC_(89.37500), SC_(0.011251639384481213426240562514542477) }}, {{ 1, SC_(91.50000), SC_(0.010988900409103388104670465071922664) }}, {{ 1, SC_(93.62500), SC_(0.010738151851930343087942933225290955) }}, {{ 1, SC_(95.75000), SC_(0.010498591235178571927709342934117247) }}, {{ 1, SC_(97.87500), SC_(0.010269486127251686167359605922136260) }}, {{ 1, SC_(100.0000), SC_(0.010050166663333571395245668465701423) }},
+      {{ 2, SC_(0.1250000), -SC_(1025.7533381181356825956689300565174) }}, {{ 2, SC_(2.250000), -SC_(0.30373993753692033333796717884398989) }}, {{ 2, SC_(4.375000), -SC_(0.065528725397877855792664680804766330) }}, {{ 2, SC_(6.500000), -SC_(0.027587910706876798794117450572831562) }}, {{ 2, SC_(8.625000), -SC_(0.015091062676061564388822078971884395) }}, {{ 2, SC_(10.75000), -SC_(0.0094956196449265900776488965631791775) }}, {{ 2, SC_(12.87500), -SC_(0.0065193261909178260169885198194705291) }}, {{ 2, SC_(15.00000), -SC_(0.0047506027165515547467791223768191188) }}, {{ 2, SC_(17.12500), -SC_(0.0036148020016626802195565448384834283) }}, {{ 2, SC_(19.25000), -SC_(0.0028424250740909855631736845850335535) }}, {{ 2, SC_(21.37500), -SC_(0.0022934967923297751145806065882712900) }}, {{ 2, SC_(23.50000), -SC_(0.0018894667868625909895476094900477678) }}, {{ 2, SC_(25.62500), -SC_(0.0015834924252652953218803111387922996) }}, {{ 2, SC_(27.75000), -SC_(0.0013462349527320363170378913859580860) }}, {{ 2, SC_(29.87500), -SC_(0.0011585598948326545653381467670779893) }}, {{ 2, SC_(32.00000), -SC_(0.0010075567602140907392185110593117265) }}, {{ 2, SC_(34.12500), -SC_(0.00088425886906787461365402045268994574) }}, {{ 2, SC_(36.25000), -SC_(0.00078228136778540401396894643668418462) }}, {{ 2, SC_(38.37500), -SC_(0.00069697797537723210697105880606724159) }}, {{ 2, SC_(40.50000), -SC_(0.00062490237932923289658683588812998732) }}, {{ 2, SC_(42.62500), -SC_(0.00056345469641484389456121935536309197) }}, {{ 2, SC_(44.75000), -SC_(0.00051064374134295093656385520125286421) }}, {{ 2, SC_(46.87500), -SC_(0.00046492369550612086723038302919171885) }}, {{ 2, SC_(49.00000), -SC_(0.00042507970884222510504308867471824948) }}, {{ 2, SC_(51.12500), -SC_(0.00039014637079445100439645401142194535) }}, {{ 2, SC_(53.25000), -SC_(0.00035934868438211062777790080207505881) }}, {{ 2, SC_(55.37500), -SC_(0.00033205871518117505559928737076624192) }}, {{ 2, SC_(57.50000), -SC_(0.00030776333242771756953580263456220628) }}, {{ 2, SC_(59.62500), -SC_(0.00028603991345613245802207114123372414) }}, {{ 2, SC_(61.75000), -SC_(0.00026653784162151616772904552992231739) }}, {{ 2, SC_(63.87500), -SC_(0.00024896427102287300629668349085350311) }}, {{ 2, SC_(66.00000), -SC_(0.00023307306946180321476975587412226332) }}, {{ 2, SC_(68.12500), -SC_(0.00021865615382096049855997233359992101) }}, {{ 2, SC_(70.25000), -SC_(0.00020553664405312492990454318541834320) }}, {{ 2, SC_(72.37500), -SC_(0.00019356341228034103704385457246984425) }}, {{ 2, SC_(74.50000), -SC_(0.00018260671130395075946075978013398780) }}, {{ 2, SC_(76.62500), -SC_(0.00017255464497899193114313963889049197) }}, {{ 2, SC_(78.75000), -SC_(0.00016331030013937037094502788633900241) }}, {{ 2, SC_(80.87500), -SC_(0.00015478940207215993505449988937898640) }}, {{ 2, SC_(83.00000), -SC_(0.00014691838710034332570083901051760808) }}, {{ 2, SC_(85.12500), -SC_(0.00013963280957351165370765015817038278) }}, {{ 2, SC_(87.25000), -SC_(0.00013287601856558888563037791437997733) }}, {{ 2, SC_(89.37500), -SC_(0.00012659805332837531702241737466058293) }}, {{ 2, SC_(91.50000), -SC_(0.00012075471712784846612240303590084686) }}, {{ 2, SC_(93.62500), -SC_(0.00011530679728326736002584104318350829) }}, {{ 2, SC_(95.75000), -SC_(0.00011021940561565095981861374083495299) }}, {{ 2, SC_(97.87500), -SC_(0.00010546141852085692313553484671110170) }}, {{ 2, SC_(100.0000), -SC_(0.00010100499983334999700083300446059382) }},
+      {{ 3, SC_(0.1250000), SC_(24580.143419063566218511004446647010) }},
+      {{ 3, SC_(2.250000), SC_(0.32454400918839602279124382903505677) }},
+      {{ 3, SC_(4.375000), SC_(0.033289201205556512286673394063908247) }},
+      {{ 3, SC_(6.500000), SC_(0.0091336635043781405048050655353658508) }},
+      {{ 3, SC_(8.625000), SC_(0.0037008460120616755687668778806054328) }},
+      {{ 3, SC_(10.75000), SC_(0.0018484328773891268475922730275004208) }},
+      {{ 3, SC_(12.87500), SC_(0.0010519186241203463873018930415985105) }},
+      {{ 3, SC_(15.00000), SC_(0.00065447977828273734841733708901750530) }},
+      {{ 3, SC_(17.12500), SC_(0.00043447135395979214393136263736764201) }},
+      {{ 3, SC_(19.25000), SC_(0.00030297696415718385912539504824566570) }},
+      {{ 3, SC_(21.37500), SC_(0.00021961042047214603636739002880115737) }},
+      {{ 3, SC_(23.50000), SC_(0.00016422394665239820056068884910278128) }},
+      {{ 3, SC_(25.62500), SC_(0.00012599930135391694524067581601102767) }},
+      {{ 3, SC_(27.75000), SC_(0.000098773010741268191080883613389009048) }},
+      {{ 3, SC_(29.87500), SC_(0.000078857844307768334137453508928722671) }},
+      {{ 3, SC_(32.00000), SC_(0.000063955754777976299576673673574642423) }},
+      {{ 3, SC_(34.12500), SC_(0.000052583702941352521813139097855885393) }},
+      {{ 3, SC_(36.25000), SC_(0.000043755438122384003302367816109980192) }},
+      {{ 3, SC_(38.37500), SC_(0.000036797707573246758497786056137200200) }},
+      {{ 3, SC_(40.50000), SC_(0.000031240239710655936422248716017582946) }},
+      {{ 3, SC_(42.62500), SC_(0.000026747791378195202271687207455056302) }},
+      {{ 3, SC_(44.75000), SC_(0.000023076997706632396178157160717335565) }},
+      {{ 3, SC_(46.87500), SC_(0.000020048287815935784161580614536631137) }},
+      {{ 3, SC_(49.00000), SC_(0.000017527197874026635143654793647828466) }},
+      {{ 3, SC_(51.12500), SC_(0.000015411686998050652806770684541876757) }},
+      {{ 3, SC_(53.25000), SC_(0.000013623370966529973793708331754693666) }},
+      {{ 3, SC_(55.37500), SC_(0.000012101363299593660023105041673385376) }},
+      {{ 3, SC_(57.50000), SC_(0.000010797882726896889062768134787291884) }},
+      {{ 3, SC_(59.62500), SC_(9.6750769605707758334815857396558355e-6) }},
+      {{ 3, SC_(61.75000), SC_(8.7026966259856900409582330070865268e-6) }},
+      {{ 3, SC_(63.87500), SC_(7.8563716857343030149244371160376495e-6) }},
+      {{ 3, SC_(66.00000), SC_(7.1163203299934132027680033779014197e-6) }},
+      {{ 3, SC_(68.12500), SC_(6.4663719906627627544882175944382226e-6) }},
+      {{ 3, SC_(70.25000), SC_(5.8932210515208497328937862935232496e-6) }},
+      {{ 3, SC_(72.37500), SC_(5.3858517367657111634358444590928906e-6) }},
+      {{ 3, SC_(74.50000), SC_(4.9350912436686398240670814427342376e-6) }},
+      {{ 3, SC_(76.62500), SC_(4.5332598242018110991734569100539592e-6) }},
+      {{ 3, SC_(78.75000), SC_(4.1738947808706992483423293125251133e-6) }},
+      {{ 3, SC_(80.87500), SC_(3.8515312659502461861484363442184908e-6) }},
+      {{ 3, SC_(83.00000), SC_(3.5615270636518630626786644585266764e-6) }},
+      {{ 3, SC_(85.12500), SC_(3.2999216708248315372665461067377996e-6) }},
+      {{ 3, SC_(87.25000), SC_(3.0633223042636924720337703682152499e-6) }},
+      {{ 3, SC_(89.37500), SC_(2.8488111819903247190925375784544775e-6) }},
+      {{ 3, SC_(91.50000), SC_(2.6538697141941088454844912572034392e-6) }},
+      {{ 3, SC_(93.62500), SC_(2.4763162120667457234467192228222670e-6) }},
+      {{ 3, SC_(95.75000), SC_(2.3142544621402797124759791203351867e-6) }},
+      {{ 3, SC_(97.87500), SC_(2.1660310796121506708372890790676070e-6) }},
+      {{ 3, SC_(100.0000), SC_(2.0301999900013330334332872946449855e-6) }},
+
+      {{4, SC_(0.1250000), SC_(-786445.98543106378579320120709638297)}}, {{ 4, SC_(2.250000), SC_(-0.51106863793373355822715252195899576) }}, {{ 4, SC_(4.375000), SC_(-0.025241882074562753654505456518792508) }}, {{ 4, SC_(6.500000), SC_(-0.0045259302803220607103496010172883494) }}, {{ 4, SC_(8.625000), SC_(-0.0013596929106556359886012273921730071) }}, {{ 4, SC_(10.75000), SC_(-0.00053930828860547053427689740051604949) }}, {{ 4, SC_(12.87500), SC_(-0.00025445997266103206171225355293726865) }}, {{ 4, SC_(15.00000), SC_(-0.00013519619187519276575068431301221388) }}, {{ 4, SC_(17.12500), SC_(-0.000078306716822025065793290599586946118) }}, {{ 4, SC_(19.25000), SC_(-0.000048430513924395561509999792045098081) }}, {{ 4, SC_(21.37500), SC_(-0.000031536705873201397805285969259914559) }}, {{ 4, SC_(23.50000), SC_(-0.000021407049050977062373311093992814121) }}, {{ 4, SC_(25.62500), SC_(-0.000015036764178343754461565939319516893) }}, {{ 4, SC_(27.75000), SC_(-0.000010869219781124567432001391245344089) }}, {{ 4, SC_(29.87500), SC_(-8.0504604926168752698902834477348881e-6) }}, {{ 4, SC_(32.00000), SC_(-6.0889806370027137702207132674152980e-6) }}, {{ 4, SC_(34.12500), SC_(-4.6901011823268163094417546531023856e-6) }}, {{ 4, SC_(36.25000), SC_(-3.6708283086618325558290000911536581e-6) }}, {{ 4, SC_(38.37500), SC_(-2.9139932244650290336213711603586301e-6) }}, {{ 4, SC_(40.50000), SC_(-2.3425302303691304543510535971847968e-6) }}, {{ 4, SC_(42.62500), SC_(-1.9045296486050512642801504306671373e-6) }}, {{ 4, SC_(44.75000), SC_(-1.5642760453399369047824852836708697e-6) }}, {{ 4, SC_(46.87500), SC_(-1.2967233822729326645555539185332769e-6) }}, {{ 4, SC_(49.00000), SC_(-1.0840030171141394983603065427611252e-6) }}, {{ 4, SC_(51.12500), SC_(-9.1316643010960703020517255319750485e-7) }}, {{ 4, SC_(53.25000), SC_(-7.7469609700462921021995856208285815e-7) }}, {{ 4, SC_(55.37500), SC_(-6.6150474476547305805911346012045165e-7) }}, {{ 4, SC_(57.50000), SC_(-5.6825133351570053043820949353677183e-7) }}, {{ 4, SC_(59.62500), SC_(-4.9086620236193161135912086142572580e-7) }}, {{ 4, SC_(61.75000), SC_(-4.2621666772058776224801114961267801e-7) }}, {{ 4, SC_(63.87500), SC_(-3.7186839586672891333608898041067112e-7) }}, {{ 4, SC_(66.00000), SC_(-3.2591301914111222705427951896642626e-7) }}, {{ 4, SC_(68.12500), SC_(-2.8684217920848561693233665614958777e-7) }}, {{ 4, SC_(70.25000), SC_(-2.5345451083204479337777798526354757e-7) }}, {{ 4, SC_(72.37500), SC_(-2.2478626654835416271537021644553013e-7) }}, {{ 4, SC_(74.50000), SC_(-2.0005909073946645851596541397664333e-7) }}, {{ 4, SC_(76.62500), SC_(-1.7864035957298817513241281766878220e-7) }}, {{ 4, SC_(78.75000), SC_(-1.6001281551287093216803849072235519e-7) }}, {{ 4, SC_(80.87500), SC_(-1.4375113796429048125939526070340983e-7) }}, {{ 4, SC_(83.00000), SC_(-1.2950373350296884735201964028079076e-7) }}, {{ 4, SC_(85.12500), SC_(-1.1697848507486443027254417751822546e-7) }}, {{ 4, SC_(87.25000), SC_(-1.0593152651055065213702117539700727e-7) }}, {{ 4, SC_(89.37500), SC_(-9.6158345290200883062520858433963680e-8) }}, {{ 4, SC_(91.50000), SC_(-8.7486689164653963817234101603388082e-8) }}, {{ 4, SC_(93.62500), SC_(-7.9770879280803145900384972987304463e-8) }}, {{ 4, SC_(95.75000), SC_(-7.2887226653828502529665531368895369e-8) }}, {{ 4, SC_(97.87500), SC_(-6.6730319180606630829991063550458595e-8) }}, {{ 4, SC_(100.0000), SC_(-6.1209999300119967012993094755881001e-8) }},
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+      {{ SC_(30.0), SC_(0.1250000), SC_(-2.6269370855717061268373196091559060e60) }}, {{ SC_(30.0), SC_(2.250000), SC_(-3.2063201132225624894497621128724710e21) }}, {{ SC_(30.0), SC_(4.375000), SC_(-3.5816122065666942298125086110013811e12) }}, {{ SC_(30.0), SC_(6.500000), SC_(-1.6926495147567915305098150929608351e7) }}, {{ SC_(30.0), SC_(8.625000), SC_(-2691.9893080722988179729741180559768) }}, {{ SC_(30.0), SC_(10.75000), SC_(-3.0129827880548721952335149662772758) }}, {{ SC_(30.0), SC_(12.87500), SC_(-0.011679541591944513522798667560485778) }}, {{ SC_(30.0), SC_(15.00000), SC_(-0.00010699799160744992062995477402482814) }}, {{ SC_(30.0), SC_(17.12500), SC_(-1.8412916811312822615145612742242341e-6) }}, {{ SC_(30.0), SC_(19.25000), SC_(-5.1296809753659048984675389168991678e-8) }}, {{ SC_(30.0), SC_(21.37500), SC_(-2.0897092756900426602247473552496515e-9) }}, {{ SC_(30.0), SC_(23.50000), SC_(-1.1575741931670926101304469613657363e-10) }}, {{ SC_(30.0), SC_(25.62500), SC_(-8.2634766034599236789755939810493909e-12) }}, {{ SC_(30.0), SC_(27.75000), SC_(-7.2982420192371959627923444899651880e-13) }}, {{ SC_(30.0), SC_(29.87500), SC_(-7.7259330615365968247618603604357394e-14) }}, {{ SC_(30.0), SC_(32.00000), SC_(-9.5598830564651701596127591449043084e-15) }}, {{ SC_(30.0), SC_(34.12500), SC_(-1.3549801683291963236022185422404195e-15) }}, {{ SC_(30.0), SC_(36.25000), SC_(-2.1637420158752325246771018243486794e-16) }}, {{ SC_(30.0), SC_(38.37500), SC_(-3.8399012944498044530335003629202925e-17) }}, {{ SC_(30.0), SC_(40.50000), SC_(-7.4867790463777103523228388855693400e-18) }}, {{ SC_(30.0), SC_(42.62500), SC_(-1.5882468053156791511681017429675896e-18) }}, {{ SC_(30.0), SC_(44.75000), SC_(-3.6357619494056634364065401737558109e-19) }}, {{ SC_(30.0), SC_(46.87500), SC_(-8.9173782150303341835362824820507660e-20) }}, {{ SC_(30.0), SC_(49.00000), SC_(-2.3289849068324860513642836089935388e-20) }}, {{ SC_(30.0), SC_(51.12500), SC_(-6.4424396179339080523684393804219419e-21) }}, {{ SC_(30.0), SC_(53.25000), SC_(-1.8786312072016996388558435362347671e-21) }}, {{ SC_(30.0), SC_(55.37500), SC_(-5.7508919690939180263189604207862429e-22) }}, {{ SC_(30.0), SC_(57.50000), SC_(-1.8413295011736722141223685570224223e-22) }}, {{ SC_(30.0), SC_(59.62500), SC_(-6.1461867250080302453576793713083061e-23) }}, {{ SC_(30.0), SC_(61.75000), SC_(-2.1324740914631425269500808021967305e-23) }}, {{ SC_(30.0), SC_(63.87500), SC_(-7.6704605421877601246419439338550908e-24) }}, {{ SC_(30.0), SC_(66.00000), SC_(-2.8535639781622817027659809125071790e-24) }}, {{ SC_(30.0), SC_(68.12500), SC_(-1.0955940788660649214956488504913491e-24) }}, {{ SC_(30.0), SC_(70.25000), SC_(-4.3327278415671627426087404900842932e-25) }}, {{ SC_(30.0), SC_(72.37500), SC_(-1.7617839186667213519985857533371320e-25) }}, {{ SC_(30.0), SC_(74.50000), SC_(-7.3539453800410337613851853725254145e-26) }}, {{ SC_(30.0), SC_(76.62500), SC_(-3.1464535209737263958150922875079198e-26) }}, {{ SC_(30.0), SC_(78.75000), SC_(-1.3780503803711969857070836997294630e-26) }}, {{ SC_(30.0), SC_(80.87500), SC_(-6.1703357256500029511495096803651889e-27) }}, {{ SC_(30.0), SC_(83.00000), SC_(-2.8213173028841107933813502855693772e-27) }}, {{ SC_(30.0), SC_(85.12500), SC_(-1.3159280846978733546278731706334709e-27) }}, {{ SC_(30.0), SC_(87.25000), SC_(-6.2549157954995389707945629132366569e-28) }}, {{ SC_(30.0), SC_(89.37500), SC_(-3.0270730786291364371674711274018267e-28) }}, {{ SC_(30.0), SC_(91.50000), SC_(-1.4902791126813033033236323354658204e-28) }}, {{ SC_(30.0), SC_(93.62500), SC_(-7.4578261147126651898615763642561310e-29) }}, {{ SC_(30.0), SC_(95.75000), SC_(-3.7908508349033587121694154134344755e-29) }}, {{ SC_(30.0), SC_(97.87500), SC_(-1.9558790071355202604313002586790408e-29) }}, {{ SC_(30.0), SC_(100.0000), SC_(-1.0236429687189538253202730650097974e-29) }},
+      {{ SC_(1.0), SC_(1.0), SC_(1.6449340668482264364724151666460252) }}, {{ SC_(2.0), SC_(1.0), SC_(-2.4041138063191885707994763230229000) }}, {{ SC_(3.0), SC_(1.0), SC_(6.4939394022668291490960221792470074) }}, {{ SC_(4.0), SC_(1.0), SC_(-24.886266123440878231952771674968820) }}, {{ SC_(5.0), SC_(1.0), SC_(122.08116743813389676574215157491046) }}, {{ SC_(6.0), SC_(1.0), SC_(-726.01147971498443532465423589185367) }}, {{ SC_(7.0), SC_(1.0), SC_(5060.5498752376394704685736020836084) }}, {{ SC_(8.0), SC_(1.0), SC_(-40400.978398747634885327823655450854) }}, {{ SC_(9.0), SC_(1.0), SC_(363240.91142238262680714352556574776) }}, {{ SC_(10.0), SC_(1.0), SC_(-3.6305933116066287129906188428320541e6) }}, {{ SC_(11.0), SC_(1.0), SC_(3.9926622987731086702327073240472015e7) }}, {{ SC_(12.0), SC_(1.0), SC_(-4.7906037988983145242687676449906363e8) }}, {{ SC_(13.0), SC_(1.0), SC_(6.2274021934109717641928534089474159e9) }}, {{ SC_(14.0), SC_(1.0), SC_(-8.7180957830172067845191220310364358e10) }}, {{ SC_(15.0), SC_(1.0), SC_(1.3076943522189138208900999074851102e12) }}, {{ SC_(16.0), SC_(1.0), SC_(-2.0922949679481510906631655688111514e13) }}, {{ SC_(17.0), SC_(1.0), SC_(3.5568878585922371597561239671618245e14) }}, {{ SC_(18.0), SC_(1.0), SC_(-6.4023859228189214007356494533239755e15) }}, {{ SC_(19.0), SC_(1.0), SC_(1.2164521645363939666987669627404138e17) }}, {{ SC_(20.0), SC_(1.0), SC_(-2.4329031685078613217372568182431975e18) }}, {{ SC_(21.0), SC_(1.0), SC_(5.1090954354370285677650274860473481e19) }}, {{ SC_(22.0), SC_(1.0), SC_(-1.1240008617808912306021529490019443e21) }}, {{ SC_(23.0), SC_(1.0), SC_(2.5852018279876877767780261785042411e22) }}, {{ SC_(24.0), SC_(1.0), SC_(-6.2044842022477556107699152049463576e23) }}, {{ SC_(25.0), SC_(1.0), SC_(1.5511210274472132898983174657140502e25) }}, {{ SC_(26.0), SC_(1.0), SC_(-4.0329146413141407973995741108882374e26) }}, {{ SC_(27.0), SC_(1.0), SC_(1.0888869490983028015891074275710607e28) }}, {{ SC_(28.0), SC_(1.0), SC_(-3.0488834517961710017831014422416477e29) }}, {{ SC_(29.0), SC_(1.0), SC_(8.8417620019742774502390188870678590e30) }}, {{ SC_(30.0), SC_(1.0), SC_(-2.6525285993570947629478654469554513e32) }}, {{ SC_(31.0), SC_(1.0), SC_(8.2228386560924560722190676893264356e33) }}, {{ SC_(32.0), SC_(1.0), SC_(-2.6313083696432603856870073439642460e35) }}, {{ SC_(33.0), SC_(1.0), SC_(8.6833176193173226237779341368101141e36) }}, {{ SC_(34.0), SC_(1.0), SC_(-2.9523279904819655207731742551529264e38) }}, {{ SC_(35.0), SC_(1.0), SC_(1.0333147966536512091762081841406431e40) }}, {{ SC_(36.0), SC_(1.0), SC_(-3.7199332679260782597263218144656884e41) }}, {{ SC_(37.0), SC_(1.0), SC_(1.3763753091276417298557030711497089e43) }}, {{ SC_(38.0), SC_(1.0), SC_(-5.2302261746755248448805548317868492e44) }}, {{ SC_(39.0), SC_(1.0), SC_(2.0397882081215995125998316157358476e46) }}, {{ SC_(40.0), SC_(1.0), SC_(-8.1591528324826876968158659241126765e47) }}, {{ SC_(41.0), SC_(1.0), SC_(3.3452526613171413332404690085486207e49) }}, {{ SC_(42.0), SC_(1.0), SC_(-1.4050061177530396292499296757724836e51) }}, {{ SC_(43.0), SC_(1.0), SC_(6.0415263063377269847520379087368697e52) }}, {{ SC_(44.0), SC_(1.0), SC_(-2.6582715747885243206668113464973395e54) }}, {{ SC_(45.0), SC_(1.0), SC_(1.1962222086548189449597808756809115e56) }}, {{ SC_(46.0), SC_(1.0), SC_(-5.5026221598121280483325452519279417e57) }}, {{ SC_(47.0), SC_(1.0), SC_(2.5862324151116909945729536986576770e59) }}, {{ SC_(48.0), SC_(1.0), SC_(-1.2413915592536094722406207462376651e61) }}, {{ SC_(49.0), SC_(1.0), SC_(6.0828186403426810113507774083359074e62) }}, {{ SC_(50.0), SC_(1.0), SC_(-3.0414093201713391550183240542952737e64) }},
+      {{ SC_(1.0), SC_(0.5), SC_(4.9348022005446793094172454999380756) }}, {{ SC_(2.0), SC_(0.5), SC_(-16.828796644234319995596334261160300) }}, {{ SC_(3.0), SC_(0.5), SC_(97.409091034002437236440332688705111) }}, {{ SC_(4.0), SC_(0.5), SC_(-771.47424982666722519053592192403342) }}, {{ SC_(5.0), SC_(0.5), SC_(7691.1135486024354962417555492193592) }}, {{ SC_(6.0), SC_(0.5), SC_(-92203.457923803023286231087958265416) }}, {{ SC_(7.0), SC_(0.5), SC_(1.2904402181855980649694862685313201e6) }}, {{ SC_(8.0), SC_(0.5), SC_(-2.0644899961760041426402517887935387e7) }}, {{ SC_(9.0), SC_(0.5), SC_(3.7159545238509742722370782665375996e8) }}, {{ SC_(10.0), SC_(0.5), SC_(-7.4318245088587689754917967712772148e9) }}, {{ SC_(11.0), SC_(0.5), SC_(1.6349952113475880004602936491973290e11) }}, {{ SC_(12.0), SC_(0.5), SC_(-3.9239835716776094268285475780118302e12) }}, {{ SC_(13.0), SC_(0.5), SC_(1.0202353013465195041277151739878551e14) }}, {{ SC_(14.0), SC_(0.5), SC_(-2.8566584452212481470833807159097089e15) }}, {{ SC_(15.0), SC_(0.5), SC_(8.5699749372666517252032697437036695e16) }}, {{ SC_(16.0), SC_(0.5), SC_(-2.7423919374393211160431177426964643e18) }}, {{ SC_(17.0), SC_(0.5), SC_(9.3241325391494482576994960512370215e19) }}, {{ SC_(18.0), SC_(0.5), SC_(-3.3566877083169638444274914449348672e21) }}, {{ SC_(19.0), SC_(0.5), SC_(1.2755413284287493036311595679555294e23) }}, {{ SC_(20.0), SC_(0.5), SC_(-5.1021653127394298787426098736355399e24) }}, {{ SC_(21.0), SC_(0.5), SC_(2.1429094312139835232862558079810850e26) }}, {{ SC_(22.0), SC_(0.5), SC_(-9.4288014971412166432678344430683531e27) }}, {{ SC_(23.0), SC_(0.5), SC_(4.3372486886542455183876952472394031e29) }}, {{ SC_(24.0), SC_(0.5), SC_(-2.0818793705491236054644197662022342e31) }}, {{ SC_(25.0), SC_(0.5), SC_(1.0409396852737427640356547073711139e33) }}, {{ SC_(26.0), SC_(0.5), SC_(-5.4128863634220427078493834793146517e34) }}, {{ SC_(27.0), SC_(0.5), SC_(2.9229586362476475227234677536391722e36) }}, {{ SC_(28.0), SC_(0.5), SC_(-1.6368568362986349120390762957016873e38) }}, {{ SC_(29.0), SC_(0.5), SC_(9.4937696505319902685274359255316741e39) }}, {{ SC_(30.0), SC_(0.5), SC_(-5.6962617903191757168598825608931775e41) }}, {{ SC_(31.0), SC_(0.5), SC_(3.5316823099978851326405053801048261e43) }}, {{ SC_(32.0), SC_(0.5), SC_(-2.2602766783986456717032825683189511e45) }}, {{ SC_(33.0), SC_(0.5), SC_(1.4917826077431059644231123371238779e47) }}, {{ SC_(34.0), SC_(0.5), SC_(-1.0144121732653120152568117095915465e49) }}, {{ SC_(35.0), SC_(0.5), SC_(7.1008852128571840121789056825569522e50) }}, {{ SC_(36.0), SC_(0.5), SC_(-5.1126373532571724660603059705232204e52) }}, {{ SC_(37.0), SC_(0.5), SC_(3.7833516414103076192831949360932899e54) }}, {{ SC_(38.0), SC_(0.5), SC_(-2.8753472474718337892361988468491097e56) }}, {{ SC_(39.0), SC_(0.5), SC_(2.2427708530280303552352874820086301e58) }}, {{ SC_(40.0), SC_(0.5), SC_(-1.7942166824224242840898439541031383e60) }}, {{ SC_(41.0), SC_(0.5), SC_(1.4712576795863879129267798604374659e62) }}, {{ SC_(42.0), SC_(0.5), SC_(-1.2358564508525658468509652718307801e64) }}, {{ SC_(43.0), SC_(0.5), SC_(1.0628365477332066282896715879731180e66) }}, {{ SC_(44.0), SC_(0.5), SC_(-9.3529616200522183289427782398136808e67) }}, {{ SC_(45.0), SC_(0.5), SC_(8.4176654580469964960466008955275434e69) }}, {{ SC_(46.0), SC_(0.5), SC_(-7.7442522214032367763622903043252397e71) }}, {{ SC_(47.0), SC_(0.5), SC_(7.2795970881190425697803703632702328e73) }}, {{ SC_(48.0), SC_(0.5), SC_(-6.9884132045942808669890971414448669e75) }}, {{ SC_(49.0), SC_(0.5), SC_(6.8486449405023952496492961188997479e77) }}, {{ SC_(50.0), SC_(0.5), SC_(-6.8486449405023952496492897589943408e79) }},
+   }};
+
+   do_test_polygamma<T>(data, name, "Mathematica Data");
+
+   boost::array<boost::array<value_type, 3>, 284> big_data =
+   { {
+      {{ 1, SC_(2.0000000000000000000000000000000000), SC_(0.64493406684822643647241516664602519) }}, {{ 1, SC_(4.0000000000000000000000000000000000), SC_(0.28382295573711532536130405553491408) }}, {{ 1, SC_(8.0000000000000000000000000000000000), SC_(0.13313701469403142513454668592040161) }}, {{ 1, SC_(16.000000000000000000000000000000000), SC_(0.064493783403239361781710772311927225) }}, {{ 1, SC_(32.000000000000000000000000000000000), SC_(0.031743366520302090126581680438741427) }}, {{ 1, SC_(64.000000000000000000000000000000000), SC_(0.015747706064338930155744003071350465) }}, {{ 1, SC_(128.00000000000000000000000000000000), SC_(0.0078430970500146151295391657680446584) }}, {{ 1, SC_(256.00000000000000000000000000000000), SC_(0.0039138893286083964054615299292933721) }}, {{ 1, SC_(512.00000000000000000000000000000000), SC_(0.0019550335903952979329050939908745913) }}, {{ 1, SC_(1024.0000000000000000000000000000000), SC_(0.00097703949237860262165259669085763056) }},
+      {{ 1, SC_(2048.0000000000000000000000000000000), SC_(0.00048840047869210349388677277938304048) }}, {{ 1, SC_(4096.0000000000000000000000000000000), SC_(0.00024417042974770687112825193241674713) }}, {{ 1, SC_(8192.0000000000000000000000000000000), SC_(0.00012207776338376182351559927851701587) }}, {{ 1, SC_(16384.000000000000000000000000000000), SC_(0.000061037018933044843502668828413112893) }}, {{ 1, SC_(32768.000000000000000000000000000000), SC_(0.000030518043791024259310109487753004549) }},
+      {{ 2, SC_(2.0000000000000000000000000000000000), SC_(-0.40411380631918857079947632302289998) }}, {{ 2, SC_(4.0000000000000000000000000000000000), SC_(-0.080039732245114496725402248948825907) }}, {{ 2, SC_(8.0000000000000000000000000000000000), SC_(-0.017699569195767773909291677736213879) }}, {{ 2, SC_(16.000000000000000000000000000000000), SC_(-0.0041580101239589621541865297842265262) }}, {{ 2, SC_(32.000000000000000000000000000000000), SC_(-0.0010075567602140907392185110593117265) }}, {{ 2, SC_(64.000000000000000000000000000000000), SC_(-0.00024798512216328534949893202341675581) }}, {{ 2, SC_(128.00000000000000000000000000000000), SC_(-0.000061513856015459056093727063597403146) }}, {{ 2, SC_(256.00000000000000000000000000000000), SC_(-0.000015318510122005107648117663349723503) }}, {{ 2, SC_(512.00000000000000000000000000000000), SC_(-3.8221551221702861883051574825692679e-6) }}, {{ 2, SC_(1024.0000000000000000000000000000000), SC_(-9.5460609372807180482794242236285690e-7) }}, {{ 2, SC_(2048.0000000000000000000000000000000), SC_(-2.3853502284509660646447307719091929e-7) }}, {{ 2, SC_(4096.0000000000000000000000000000000), SC_(-5.9619198466975795959019740002484769e-8) }}, {{ 2, SC_(8192.0000000000000000000000000000000), SC_(-1.4902980294273504017537750635770593e-8) }}, {{ 2, SC_(16384.000000000000000000000000000000), SC_(-3.7255176790762511898502424554181168e-9) }}, {{ 2, SC_(32768.000000000000000000000000000000), SC_(-9.3135099675858978849200435754135096e-10) }}, {{ 2, SC_(65536.000000000000000000000000000000), SC_(-2.3283419639465348371721333739142464e-10) }}, {{ 2, SC_(131072.00000000000000000000000000000), SC_(-5.8208105004371323183654400926421586e-11) }}, {{ 2, SC_(262144.00000000000000000000000000000), SC_(-1.4551970739623962182873920142648449e-11) }}, {{ 2, SC_(524288.00000000000000000000000000000), SC_(-3.6379857459922343037889500943887953e-12) }}, {{ 2, SC_(1.0485760000000000000000000000000000e6), SC_(-9.0949556913507981662486265691361231e-13) }}, {{ 2, SC_(2.0971520000000000000000000000000000e6), SC_(-2.2737378386347515742334544652596257e-13) }}, {{ 2, SC_(4.1943040000000000000000000000000000e6), SC_(-5.6843432413336786525629259100975662e-14) }}, {{ 2, SC_(8.3886080000000000000000000000000000e6), SC_(-1.4210856409267999200219031777240284e-14) }}, {{ 2, SC_(1.6777216000000000000000000000000000e7), SC_(-3.5527138905587440538179478730582199e-15) }}, {{ 2, SC_(3.3554432000000000000000000000000000e7), SC_(-8.8817844616990522846624354086352033e-16) }}, {{ 2, SC_(6.7108864000000000000000000000000000e7), SC_(-2.2204460823375378294874032126041593e-16) }}, {{ 2, SC_(1.3421772800000000000000000000000000e8), SC_(-5.5511151644848134838439376350034016e-17) }}, {{ 2, SC_(2.6843545600000000000000000000000000e8), SC_(-1.3877787859513245136156122749960089e-17) }}, {{ 2, SC_(5.3687091200000000000000000000000000e8), SC_(-3.4694469584159627304129087489268059e-18) }}, {{ 2, SC_(1.0737418240000000000000000000000000e9), 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}}, {{ SC_(30.0),  SC_(1.8014398509481984000000000000000000e16), SC_(-1.8964694214383340521722742474983073e-457) }}, {{ SC_(30.0),  SC_(3.6028797018963968000000000000000000e16), SC_(-1.7662247842534755008372178353398608e-466) }}, {{ SC_(30.0),  SC_(7.2057594037927936000000000000000000e16), SC_(-1.6449250134206145379392674041454779e-475) }}, {{ SC_(30.0),  SC_(1.4411518807585587200000000000000000e17), SC_(-1.5319557985482871222587909400586267e-484) }}, {{ SC_(30.0),  SC_(2.8823037615171174400000000000000000e17), SC_(-1.4267450185011020326364788255126534e-493) }}, {{ SC_(30.0),  SC_(5.7646075230342348800000000000000000e17), SC_(-1.3287598439502548384585954790099239e-502) }}, {{ SC_(30.0),  SC_(1.1529215046068469760000000000000000e18), SC_(-1.2375040389134127843853680088571555e-511) }}, {{ SC_(30.0),  SC_(2.3058430092136939520000000000000000e18), SC_(-1.1525154476178928989312989675999669e-520) }}, {{ SC_(30.0),  SC_(4.6116860184273879040000000000000000e18), SC_(-1.0733636539596066765325327508232535e-529) }}, {{ SC_(30.0),  SC_(9.2233720368547758080000000000000000e18), SC_(-9.9964780170433844885501818972479211e-539) }}, {{ SC_(30.0),  SC_(1.8446744073709551616000000000000000e19), SC_(-9.3099456439198781553856371993072353e-548) }}, {{ SC_(30.0),  SC_(3.6893488147419103232000000000000000e19), SC_(-8.6705625466256198953841239814504762e-557) }}, {{ SC_(30.0),  SC_(7.3786976294838206464000000000000000e19), SC_(-8.0750906342879122995040411743125170e-566) }}, {{ SC_(30.0),  SC_(1.4757395258967641292800000000000000e20), SC_(-7.5205141997783559362248117439409145e-575) }}, {{ SC_(30.0),  SC_(2.9514790517935282585600000000000000e20), SC_(-7.0040246469698435960734303533011581e-584) }}, {{ SC_(30.0),  SC_(5.9029581035870565171200000000000000e20), SC_(-6.5230062668862227312246814035998837e-593) }}, {{ SC_(30.0),  SC_(1.1805916207174113034240000000000000e21), SC_(-6.0750229907093781336599992450810038e-602) }}, {{ SC_(30.0),  SC_(2.3611832414348226068480000000000000e21), SC_(-5.6578060525556822620531601462211155e-611) }}, {{ SC_(30.0),  SC_(4.7223664828696452136960000000000000e21), SC_(-5.2692424995411953535258666060047970e-620) }}, {{ SC_(30.0),  SC_(9.4447329657392904273920000000000000e21), SC_(-4.9073644909460054277605359114212468e-629) }}, {{ SC_(30.0),  SC_(1.8889465931478580854784000000000000e22), SC_(-4.5703393322844108825145652571006034e-638) }}, {{ SC_(30.0),  SC_(3.7778931862957161709568000000000000e22), SC_(-4.2564601938095045113123493445833636e-647) }}, {{ SC_(30.0),  SC_(7.5557863725914323419136000000000000e22), SC_(-3.9641374664469664090420159863859993e-656) }}, {{ SC_(30.0),  SC_(1.5111572745182864683827200000000000e23), SC_(-3.6918907113810688341424078675611601e-665) }}, {{ SC_(30.0),  SC_(3.0223145490365729367654400000000000e23), SC_(-3.4383411625223875363750612697898904e-674) }}, {{ SC_(30.0),  SC_(6.0446290980731458735308800000000000e23), SC_(-3.2022047438867274079238771888571055e-683) }}, {{ SC_(30.0),  SC_(1.2089258196146291747061760000000000e24), SC_(-2.9822855665224859564787125744222496e-692) }}, {{ SC_(30.0),  SC_(2.4178516392292583494123520000000000e24), SC_(-2.7774698720523025435197111896762965e-701) }}, {{ SC_(30.0),  SC_(4.8357032784585166988247040000000000e24), SC_(-2.5867203921566741015014262629362602e-710) }}, {{ SC_(30.0),  SC_(9.6714065569170333976494080000000000e24), SC_(-2.4090710954337139627909495039162813e-719) }}, {{ SC_(30.0),  SC_(1.9342813113834066795298816000000000e25), SC_(-2.2436222950310576360588405614024340e-728) }}, {{ SC_(30.0),  SC_(3.8685626227668133590597632000000000e25), SC_(-2.0895360922730133273255449640176061e-737) }}, {{ SC_(30.0),  SC_(7.7371252455336267181195264000000000e25), SC_(-1.9460321332076688551581879695116458e-746) }}, {{ SC_(30.0),  SC_(1.5474250491067253436239052800000000e26), SC_(-1.8123836565834180034307649180969011e-755) }}, {{ SC_(30.0),  SC_(3.0948500982134506872478105600000000e26), SC_(-1.6879138132402841033700526042422183e-764) }}, {{ SC_(30.0),  SC_(6.1897001964269013744956211200000000e26), SC_(-1.5719922382759713599179429591983936e-773) }}, {{ SC_(30.0),  SC_(1.2379400392853802748991242240000000e27), SC_(-1.4640318586267264186571752095136003e-782) }}, {{ SC_(30.0),  SC_(2.4758800785707605497982484480000000e27), SC_(-1.3634859198953271085928894585406723e-791) }}, {{ SC_(30.0),  SC_(4.9517601571415210995964968960000000e27), SC_(-1.2698452173688701433994709089494920e-800) }}, {{ SC_(30.0),  SC_(9.9035203142830421991929937920000000e27), SC_(-1.1826355172031280988822420193126128e-809) }}, {{ SC_(30.0),  SC_(1.9807040628566084398385987584000000e28), SC_(-1.1014151547133252945563215933898419e-818) }}, {{ SC_(30.0),  SC_(3.9614081257132168796771975168000000e28), SC_(-1.0257727976081197099353387886404875e-827) }}, {{ SC_(30.0),  SC_(7.9228162514264337593543950336000000e28), SC_(-9.5532536283891621039746216353614015e-837) }}, {{ SC_(30.0),  SC_(1.5845632502852867518708790067200000e29), SC_(-8.8971607651460562869670071028704372e-846) }}, {{ SC_(30.0),  SC_(3.1691265005705735037417580134400000e29), SC_(-8.2861266705636459281360796675545348e-855) }}, {{ SC_(30.0),  SC_(6.3382530011411470074835160268800000e29), SC_(-7.7170568244193177000955489160105929e-864) }}, {{ SC_(30.0),  SC_(1.2676506002282294014967032053760000e30), SC_(-7.1870692301721476950641245729469486e-873) }},
+      {{ SC_(31.0), SC_(2.0000000000000000000000000000000000), SC_(1.9145332544935048093264355986676073e24) }}, {{ SC_(31.0), SC_(4.0000000000000000000000000000000000), SC_(4.4611518561919816922776795853710092e14) }}, {{ SC_(31.0), SC_(8.0000000000000000000000000000000000), SC_(106267.95619808419253963903669279065) }}, {{ SC_(31.0), SC_(16.000000000000000000000000000000000), SC_(0.000028318136062027075392587779376335821) }}, {{ SC_(31.0), SC_(32.000000000000000000000000000000000), SC_(9.0814734303237413772295578988209818e-15) }}
+   } };
+   do_test_polygamma<T>(big_data, name, "Mathematica Data - large arguments");
+
+   boost::array<boost::array<value_type, 3>, 551> neg_data =
+   { {
+      {{ SC_(1.0), SC_(-12.750), SC_(19.663772856722737612034697464751605) }}, {{ SC_(1.0), SC_(-12.250), SC_(19.660817549236368273654684043826967) }}, {{ SC_(1.0), SC_(-11.750), SC_(19.657621376522814505537196503582823) }}, {{ SC_(1.0), SC_(-11.250), SC_(19.654153659190554029589711115880278) }}, {{ SC_(1.0), SC_(-10.750), SC_(19.650378280099093364749509767503149) }}, {{ SC_(1.0), SC_(-10.250), SC_(19.646252424622652795021809881312377) }}, {{ SC_(1.0), SC_(-9.7500), SC_(19.641724953976865133273035997897957) }}, {{ SC_(1.0), SC_(-9.2500), SC_(19.636734280660725370869519577921538) }}, {{ SC_(1.0), SC_(-8.7500), SC_(19.631205558842085383108670448917024) }}, {{ SC_(1.0), SC_(-8.2500), SC_(19.625046917622010980803778160828770) }}, {{ SC_(1.0), SC_(-7.7500), SC_(19.618144334352289464741323510141514) }}, {{ SC_(1.0), SC_(-7.2500), SC_(19.610354539293269015698176691590937) }}, {{ SC_(1.0), SC_(-6.7500), SC_(19.601495010731061577124257953429755) }}, {{ SC_(1.0), SC_(-6.2500), SC_(19.591329569019785068016844943671793) }}, {{ SC_(1.0), SC_(-5.7500), SC_(19.579547136931335925546754524074474) }}, {{ SC_(1.0), SC_(-5.2500), SC_(19.565729569019785068016844943671793) }}, {{ SC_(1.0), SC_(-4.7500), SC_(19.549301390239464469970194977760674) }}, {{ SC_(1.0), SC_(-4.2500), SC_(19.529448389881463072551992335962043) }}, {{ SC_(1.0), SC_(-3.7500), SC_(19.504980060599575273294294700752364) }}, {{ SC_(1.0), SC_(-3.2500), SC_(19.474085068082155114074483685443011) }}, {{ SC_(1.0), SC_(-2.7500), SC_(19.433868949488464162183183589641253) }}, {{ SC_(1.0), SC_(-2.2500), SC_(19.379410511869137362595193744614609) }}, {{ SC_(1.0), SC_(-1.7500), SC_(19.301637544529786476232770366500757) }}, {{ SC_(1.0), SC_(-1.2500), SC_(19.181879647671606498397662880417078) }}, {{ SC_(1.0), SC_(-0.75000), SC_(18.975106932284888517049096897113002) }}, {{ SC_(1.0), SC_(-0.25000), SC_(18.541879647671606498397662880417078) }},
+      {{ SC_(2.0), SC_(-12.750), SC_(-124.03079461415823384604153251543681) }}, {{ SC_(2.0), SC_(-12.250), SC_(124.01896466745858356132308878716344) }}, {{ SC_(2.0), SC_(-11.750), SC_(-124.03175955222881001960976796032603) }}, {{ SC_(2.0), SC_(-11.250), SC_(124.01787668541028735821044014586602) }}, {{ SC_(2.0), SC_(-10.750), SC_(-124.03299241970518808612682102178640) }}, {{ SC_(2.0), SC_(-10.250), SC_(124.01647202148710491650947992638728) }}, {{ SC_(2.0), SC_(-9.7500), SC_(-124.03460234084420729198290916496876) }}, {{ SC_(2.0), SC_(-9.2500), SC_(124.01461482266526541911391108670126) }}, {{ SC_(2.0), SC_(-8.7500), SC_(-124.03676016548723903560636876475972) }}, {{ SC_(2.0), SC_(-8.2500), SC_(124.01208782525148933477537240192445) }}, {{ SC_(2.0), SC_(-7.7500), SC_(-124.03974558822776381694747663647984) }}, {{ SC_(2.0), SC_(-7.2500), SC_(124.00852603656573370687098416695770) }}, {{ SC_(2.0), SC_(-6.7500), SC_(-124.04404218787195165891317097369578) }}, {{ SC_(2.0), SC_(-6.2500), SC_(124.00327776890408296268303058132483) }}, {{ SC_(2.0), SC_(-5.7500), SC_(-124.05054526159038888901020902683808) }}, {{ SC_(2.0), SC_(-5.2500), SC_(123.99508576890408296268303058132483) }}, {{ SC_(2.0), SC_(-4.7500), SC_(-124.06106552130930069964553408642549) }}, {{ SC_(2.0), SC_(-4.2500), SC_(123.98126436732757934536308673076874) }}, {{ SC_(2.0), SC_(-3.7500), SC_(-124.07972713378925404561433420306057) }}, {{ SC_(2.0), SC_(-3.2500), SC_(123.95521103942202265902072971875978) }}, {{ SC_(2.0), SC_(-2.7500), SC_(-124.11765305971517997154026012898649) }}, {{ SC_(2.0), SC_(-2.2500), SC_(123.89694977406016558118732052440384) }}, {{ SC_(2.0), SC_(-1.7500), SC_(-124.21382135423058192495874247308867) }}, {{ SC_(2.0), SC_(-1.2500), SC_(123.72136678366236036856729308956159) }}, {{ SC_(2.0), SC_(-0.75000), SC_(-124.58699919679617959259722643810325) }}, {{ SC_(2.0), SC_(-0.25000), SC_(122.69736678366236036856729308956159) }},
+      {{ SC_(3.0), SC_(-12.750), SC_(1558.5445992104061926890981987122713) }}, {{ SC_(3.0), SC_(-12.250), SC_(1558.5444945580353369268010524200916) }}, {{ SC_(3.0), SC_(-11.750), SC_(1558.5443721661542924129644962546503) }}, {{ SC_(3.0), SC_(-11.250), SC_(1558.5442281134520807137938731609983) }}, {{ SC_(3.0), SC_(-10.750), SC_(1558.5440573914794724810878018559796) }}, {{ SC_(3.0), SC_(-10.250), SC_(1558.5438535364058987293402837691373) }}, {{ SC_(3.0), SC_(-9.7500), SC_(1558.5436081111616066561977307462543) }}, {{ SC_(3.0), SC_(-9.2500), SC_(1558.5433099660190188764440197184975) }}, {{ SC_(3.0), SC_(-8.7500), SC_(1558.5429441651175968889289739463186) }}, {{ SC_(3.0), SC_(-8.2500), SC_(1558.5424903992902266328747639288402) }}, {{ SC_(3.0), SC_(-7.7500), SC_(1558.5419205916065598210405941045860) }}, {{ SC_(3.0), SC_(-7.2500), SC_(1558.5411952034044973136368045706704) }}, {{ SC_(3.0), SC_(-6.7500), SC_(1558.5402573917442935596345188772766) }}, {{ SC_(3.0), SC_(-6.2500), SC_(1558.5390235064410556263866168800637) }}, {{ SC_(3.0), SC_(-5.7500), SC_(1558.5373671367583214573691686314356) }}, {{ SC_(3.0), SC_(-5.2500), SC_(1558.5350913464410556263866168800637) }}, {{ SC_(3.0), SC_(-4.7500), SC_(1558.5318783056006283387768251220856) }}, {{ SC_(3.0), SC_(-4.2500), SC_(1558.5271934026830535593466489654603) }}, {{ SC_(3.0), SC_(-3.7500), SC_(1558.5200920240343420150070566273687) }}, {{ SC_(3.0), SC_(-3.2500), SC_(1558.5088028182791311925167498981598) }}, {{ SC_(3.0), SC_(-2.7500), SC_(1558.4897512832936012742663158866280) }}, {{ SC_(3.0), SC_(-2.2500), SC_(1558.4550231887143400437474491033697) }}, {{ SC_(3.0), SC_(-1.7500), SC_(1558.3848404165495264159916078748802) }}, {{ SC_(3.0), SC_(-1.2500), SC_(1558.2209125348505997602540791902467) }}, {{ SC_(3.0), SC_(-0.75000), SC_(1557.7451069721513589857542067919980) }}, {{ SC_(3.0), SC_(-0.25000), SC_(1555.7633125348505997602540791902467) }},
+      {{ SC_(4.0), SC_(-12.750), SC_(-24481.574976569827769932951761311307) }}, {{ SC_(4.0), SC_(-12.250), SC_(24481.574556933476371183897773040987) }}, {{ SC_(4.0), SC_(-11.750), SC_(-24481.575047799396993548993707180364) }}, {{ SC_(4.0), SC_(-11.250), SC_(24481.574469931163471195977061446181) }}, {{ SC_(4.0), SC_(-10.750), SC_(-24481.575154956733102461973007401188) }}, {{ SC_(4.0), SC_(-10.250), SC_(24481.574336748213717601504674106852) }}, {{ SC_(4.0), SC_(-9.7500), SC_(-24481.575322130804866489839080372249) }}, {{ SC_(4.0), SC_(-9.2500), SC_(24481.574124623184691317447595452944) }}, {{ SC_(4.0), SC_(-8.7500), SC_(-24481.575594518925485881539083161966) }}, {{ SC_(4.0), SC_(-8.2500), SC_(24481.573770215950618995904133489849) }}, {{ SC_(4.0), SC_(-7.7500), SC_(-24481.576062438244817112573771089615) }}, {{ SC_(4.0), SC_(-7.2500), SC_(24481.573142242187841144152395619221) }}, {{ SC_(4.0), SC_(-6.7500), SC_(-24481.576920863980180344267229271453) }}, {{ SC_(4.0), SC_(-6.2500), SC_(24481.571944064552838833945395514059) }}, {{ SC_(4.0), SC_(-5.7500), SC_(-24481.578633607675571219683733120840) }}, {{ SC_(4.0), SC_(-5.2500), SC_(24481.569427482152838833945395514059) }}, {{ SC_(4.0), SC_(-4.7500), SC_(-24481.582451925002662084791450344735) }}, {{ SC_(4.0), SC_(-4.2500), SC_(24481.563410001194361068581610436266) }}, {{ SC_(4.0), SC_(-3.7500), SC_(-24481.592377214742692673229150129760) }}, {{ SC_(4.0), SC_(-3.2500), SC_(24481.546101215873022370388764255277) }}, {{ SC_(4.0), SC_(-2.7500), SC_(-24481.624740671532816130019273586550) }}, {{ SC_(4.0), SC_(-2.2500), SC_(24481.479910902562510187288086353997) }}, {{ SC_(4.0), SC_(-1.7500), SC_(-24481.777338295887834105691576149093) }}, {{ SC_(4.0), SC_(-1.2500), SC_(24481.063714184582527461077650952890) }}, {{ SC_(4.0), SC_(-0.75000), SC_(-24483.239586168797931089091350052823) }}, {{ SC_(4.0), SC_(-0.25000), SC_(24473.199394184582527461077650952890) }},
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SC_(-1.3877787807814456755295395851135254e-17), SC_(7.4828883831342229412028663435073691e50) }}, {{ SC_(2.0), SC_(-6.9388939039072283776476979255676270e-18), SC_(5.9863107065073783529622930748058952e51) }}, {{ SC_(2.0), SC_(-3.4694469519536141888238489627838135e-18), SC_(4.7890485652059026823698344598447162e52) }}, {{ SC_(2.0), SC_(-1.7347234759768070944119244813919067e-18), SC_(3.8312388521647221458958675678757730e53) }}, {{ SC_(2.0), SC_(-8.6736173798840354720596224069595337e-19), SC_(3.0649910817317777167166940543006184e54) }}, {{ SC_(2.0), SC_(-4.3368086899420177360298112034797668e-19), SC_(2.4519928653854221733733552434404947e55) }}, {{ SC_(2.0), SC_(-2.1684043449710088680149056017398834e-19), SC_(1.9615942923083377386986841947523958e56) }}, {{ SC_(2.0), SC_(-1.0842021724855044340074528008699417e-19), SC_(1.5692754338466701909589473558019166e57) }}, {{ SC_(2.0), SC_(-5.4210108624275221700372640043497086e-20), SC_(1.2554203470773361527671578846415333e58) }}, {{ SC_(2.0), SC_(-2.7105054312137610850186320021748543e-20), SC_(1.0043362776618689222137263077132266e59) }}, {{ SC_(2.0), SC_(-1.3552527156068805425093160010874271e-20), SC_(8.0346902212949513777098104617058130e59) }}, {{ SC_(2.0), SC_(-6.7762635780344027125465800054371357e-21), SC_(6.4277521770359611021678483693646504e60) }}, {{ SC_(2.0), SC_(-3.3881317890172013562732900027185678e-21), SC_(5.1422017416287688817342786954917203e61) }},
+      {{ SC_(3.0), SC_(-9.5367431640625000000000000000000000e-7), SC_(7.2535549176877750482370624939631357e24) }}, {{ SC_(3.0), SC_(-4.7683715820312500000000000000000000e-7), SC_(1.1605687868300440077179290249395127e26) }}, {{ SC_(3.0), SC_(-2.3841857910156250000000000000000000e-7), SC_(1.8569100589280704123486863424939453e27) }}, {{ SC_(3.0), SC_(-1.1920928955078125000000000000000000e-7), SC_(2.9710560942849126597578981382493942e28) }}, {{ SC_(3.0), SC_(-5.9604644775390625000000000000000000e-8), SC_(4.7536897508558602556126370202249394e29) }}, {{ SC_(3.0), SC_(-2.9802322387695312500000000000000000e-8), SC_(7.6059036013693764089802192322624939e30) }}, {{ SC_(3.0), SC_(-1.4901161193847656250000000000000000e-8), SC_(1.2169445762191002254368350771610249e32) }}, {{ SC_(3.0), SC_(-7.4505805969238281250000000000000000e-9), SC_(1.9471113219505603606989361234575425e33) }}, {{ SC_(3.0), SC_(-3.7252902984619140625000000000000000e-9), SC_(3.1153781151208965771182977975320582e34) }}, {{ SC_(3.0), SC_(-1.8626451492309570312500000000000000e-9), SC_(4.9846049841934345233892764760512922e35) }}, {{ SC_(3.0), SC_(-9.3132257461547851562500000000000000e-10), SC_(7.9753679747094952374228423616820675e36) }}, {{ SC_(3.0), SC_(-4.6566128730773925781250000000000000e-10), SC_(1.2760588759535192379876547778691308e38) }}, {{ SC_(3.0), SC_(-2.3283064365386962890625000000000000e-10), SC_(2.0416942015256307807802476445906093e39) }}, {{ SC_(3.0), SC_(-1.1641532182693481445312500000000000e-10), SC_(3.2667107224410092492483962313449748e40) }}, {{ SC_(3.0), SC_(-5.8207660913467407226562500000000000e-11), SC_(5.2267371559056147987974339701519597e41) }}, {{ SC_(3.0), SC_(-2.9103830456733703613281250000000000e-11), SC_(8.3627794494489836780758943522431356e42) }}, {{ SC_(3.0), SC_(-1.4551915228366851806640625000000000e-11), SC_(1.3380447119118373884921430963589017e44) }}, {{ SC_(3.0), SC_(-7.2759576141834259033203125000000000e-12), SC_(2.1408715390589398215874289541742427e45) }}, {{ SC_(3.0), SC_(-3.6379788070917129516601562500000000e-12), SC_(3.4253944624943037145398863266787883e46) }}, {{ SC_(3.0), SC_(-1.8189894035458564758300781250000000e-12), SC_(5.4806311399908859432638181226860613e47) }}, {{ SC_(3.0), SC_(-9.0949470177292823791503906250000000e-13), SC_(8.7690098239854175092221089962976981e48) }}, {{ SC_(3.0), SC_(-4.5474735088646411895751953125000000e-13), SC_(1.4030415718376668014755374394076317e50) }}, {{ SC_(3.0), SC_(-2.2737367544323205947875976562500000e-13), SC_(2.2448665149402668823608599030522107e51) }}, {{ SC_(3.0), SC_(-1.1368683772161602973937988281250000e-13), SC_(3.5917864239044270117773758448835371e52) }}, {{ SC_(3.0), SC_(-5.6843418860808014869689941406250000e-14), SC_(5.7468582782470832188438013518136594e53) }}, {{ SC_(3.0), SC_(-2.8421709430404007434844970703125000e-14), SC_(9.1949732451953331501500821629018551e54) }}, {{ SC_(3.0), SC_(-1.4210854715202003717422485351562500e-14), SC_(1.4711957192312533040240131460642968e56) }}, {{ SC_(3.0), SC_(-7.1054273576010018587112426757812500e-15), SC_(2.3539131507700052864384210337028749e57) }}, {{ SC_(3.0), SC_(-3.5527136788005009293556213378906250e-15), SC_(3.7662610412320084583014736539245998e58) }}, {{ SC_(3.0), SC_(-1.7763568394002504646778106689453125e-15), SC_(6.0260176659712135332823578462793598e59) }}, {{ SC_(3.0), SC_(-8.8817841970012523233890533447265625e-16), SC_(9.6416282655539416532517725540469756e60) }}, {{ SC_(3.0), SC_(-4.4408920985006261616945266723632812e-16), SC_(1.5426605224886306645202836086475161e62) }}, {{ SC_(3.0), SC_(-2.2204460492503130808472633361816406e-16), SC_(2.4682568359818090632324537738360258e63) }}, {{ SC_(3.0), SC_(-1.1102230246251565404236316680908203e-16), SC_(3.9492109375708945011719260381376412e64) }}, {{ SC_(3.0), SC_(-5.5511151231257827021181583404541016e-17), SC_(6.3187375001134312018750816610202259e65) }}, {{ SC_(3.0), SC_(-2.7755575615628913510590791702270508e-17), SC_(1.0109980000181489923000130657632362e67) }}, {{ SC_(3.0), SC_(-1.3877787807814456755295395851135254e-17), SC_(1.6175968000290383876800209052211778e68) }}, {{ SC_(3.0), SC_(-6.9388939039072283776476979255676270e-18), SC_(2.5881548800464614202880334483538845e69) }}, {{ SC_(3.0), SC_(-3.4694469519536141888238489627838135e-18), SC_(4.1410478080743382724608535173662153e70) }}, {{ SC_(3.0), SC_(-1.7347234759768070944119244813919067e-18), SC_(6.6256764929189412359373656277859444e71) }}, {{ SC_(3.0), SC_(-8.6736173798840354720596224069595337e-19), SC_(1.0601082388670305977499785004457511e73) }}, {{ SC_(3.0), SC_(-4.3368086899420177360298112034797668e-19), SC_(1.6961731821872489563999656007132018e74) }}, {{ SC_(3.0), SC_(-2.1684043449710088680149056017398834e-19), SC_(2.7138770914995983302399449611411228e75) }}, {{ SC_(3.0), SC_(-1.0842021724855044340074528008699417e-19), SC_(4.3422033463993573283839119378257965e76) }}, {{ SC_(3.0), SC_(-5.4210108624275221700372640043497086e-20), SC_(6.9475253542389717254142591005212745e77) }}, {{ SC_(3.0), SC_(-2.7105054312137610850186320021748543e-20), SC_(1.1116040566782354760662814560834039e79) }}, {{ SC_(3.0), SC_(-1.3552527156068805425093160010874271e-20), SC_(1.7785664906851767617060503297334463e80) }}, {{ SC_(3.0), SC_(-6.7762635780344027125465800054371357e-21), SC_(2.8457063850962828187296805275735140e81) }}, {{ SC_(3.0), SC_(-3.3881317890172013562732900027185678e-21), SC_(4.5531302161540525099674888441176224e82) }},
+      {{ SC_(124.0), SC_(-1.500), SC_(-2.7249890458922632375522129837125443e157) }}, {{ SC_(124.0), SC_(-2.500), SC_(-1.4769313224896369911103029786543928e139) }}, {{ SC_(124.0), SC_(-3.500), SC_(-3.3597086916687478281510460837686247e125) }}, {{ SC_(124.0), SC_(-4.500), SC_(-4.2907148995777554014718947851654811e114) }}, {{ SC_(124.0), SC_(-5.500), SC_(-3.6618139249627692553752809354502259e105) }}, {{ SC_(124.0), SC_(-6.500), SC_(-6.2403362354301509400433157402892941e97) }}, {{ SC_(124.0), SC_(-7.500), SC_(-1.0011531735317576688720095395178850e91) }}, {{ SC_(124.0), SC_(-8.500), SC_(-9.1710019415963060853316564350633528e84) }}, {{ SC_(124.0), SC_(-9.500), SC_(-3.3822714836539651302726236480037681e79) }}, {{ SC_(124.0), SC_(-10.50), SC_(-3.8962670995991768118677582868234531e74) }}, {{ SC_(124.0), SC_(-11.50), SC_(-1.1591591018132801852584224474253891e70) }}, {{ SC_(124.0), SC_(-12.50), SC_(-7.6948850968760327095578155247202587e65) }}, {{ SC_(124.0), SC_(-13.50), SC_(-1.0161777096507539745875317371106118e62) }}, {{ SC_(124.0), SC_(-14.50), SC_(-2.4354484351409547531920463990216679e58) }}, {{ SC_(124.0), SC_(-15.50), SC_(-9.8321990426222594076174716964878395e54) }}, {{ SC_(124.0), SC_(-16.50), SC_(-6.2882245279340391405004802996498744e51) }}, {{ SC_(124.0), SC_(-17.50), SC_(-6.0534504786126893203140318104359656e48) }}, {{ SC_(124.0), SC_(-18.50), SC_(-8.4019112566928602772066808945728022e45) }}, {{ SC_(124.0), SC_(-19.50), SC_(-1.6209265582255125824031570171026802e43) }}, {{ SC_(124.0), SC_(-20.50), SC_(-4.2125071484047517848318042867661534e40) }},
+      {{ SC_(125.0), SC_(-1.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-2.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-3.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-4.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-5.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-6.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-7.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-8.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-9.500), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-10.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-11.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-12.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-13.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-14.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-15.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-16.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-17.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-18.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-19.50), SC_(3.2032092294989705945080639466924596e247) }}, {{ SC_(125.0), SC_(-20.50), SC_(3.2032092294989705945080639466924596e247) }},
+      {{ SC_(125.0), SC_(-1.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-2.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-3.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-4.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-5.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-6.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-7.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-8.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-9.5000002384185791015625000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-10.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-11.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-12.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-13.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-14.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-15.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-16.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-17.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-18.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-19.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-20.500000238418579101562500000000000), SC_(3.2032092353263025675858789018286326e247) }},
+      {{ SC_(125.0), SC_(-1.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-2.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-3.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-4.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-5.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-6.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-7.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-8.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-9.4999997615814208984375000000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-10.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-11.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-12.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-13.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-14.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-15.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-16.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-17.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-18.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-19.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }}, {{ SC_(125.0), SC_(-20.499999761581420898437500000000000), SC_(3.2032092353263025675858789018286326e247) }},
+   } };
+   do_test_polygamma<T>(neg_data, name, "Mathematica Data - negative arguments");
+
+   boost::array<boost::array<value_type, 3>, 103> neg_double_data =
+   { {
+      { { SC_(124.0), SC_(-1.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-2.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-3.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-4.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-5.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-6.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-7.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-8.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-9.4999997615814208984375000000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-10.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-11.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-12.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-13.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-14.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-15.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-16.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-17.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-18.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-19.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-20.499999761581420898437500000000000), SC_(7.6370459352527012474320227016934851e240) } },
+      { { SC_(124.0), SC_(-1.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-2.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-3.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-4.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-5.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-6.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-7.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-8.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-9.5000002384185791015625000000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-10.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-11.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-12.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-13.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-14.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-15.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-16.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-17.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-18.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-19.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } }, { { SC_(124.0), SC_(-20.500000238418579101562500000000000), SC_(-7.6370459352527012474320227016934851e240) } },
+      { { SC_(1.0), SC_(-0.500), SC_(8.9348022005446793094172454999380756) } }, { { SC_(2.0), SC_(-0.500), SC_(-0.82879664423431999559633426116029987) } }, { { SC_(3.0), SC_(-0.500), SC_(193.40909103400243723644033268870511) } }, { { SC_(4.0), SC_(-0.500), SC_(-3.4742498266672251905359219240334210) } }, { { SC_(5.0), SC_(-0.500), SC_(15371.113548602435496241755549219359) } }, { { SC_(6.0), SC_(-0.500), SC_(-43.457923803023286231087958265415698) } }, { { SC_(7.0), SC_(-0.500), SC_(2.5806802181855980649694862685313201e6) } }, { { SC_(8.0), SC_(-0.500), SC_(-1059.9617600414264025178879353865365) } }, { { SC_(9.0), SC_(-0.500), SC_(7.4318457238509742722370782665375996e8) } }, { { SC_(10.), SC_(-0.500), SC_(-42108.858768975491796771277214753871) } }, { { SC_(11.), SC_(-0.500), SC_(3.2699873393475880004602936491973290e11) } }, { { SC_(12.), SC_(-0.500), SC_(-2.4644776094268285475780118302319831e6) } }, { { SC_(13.), SC_(-0.500), SC_(2.0404703892185195041277151739878551e14) } }, { { SC_(14.), SC_(-0.500), SC_(-1.9917964814708338071590970890436861e8) } }, { { SC_(15.), SC_(-0.500), SC_(1.7139949675391451725203269743703670e17) } }, { { SC_(16.), SC_(-0.500), SC_(-2.1239385116043117742696464301184360e10) } }, { { SC_(17.), SC_(-0.500), SC_(1.8648265054229230657699496051237022e20) } }, { { SC_(18.), SC_(-0.500), SC_(-2.8882421804274914449348671586694211e12) } }, { { SC_(19.), SC_(-0.500), SC_(2.5510826564916635359511595679555294e23) } }, { { SC_(20.), SC_(-0.500), SC_(-4.8777294946260987363553987421237456e14) } }, { { SC_(21.), SC_(-0.500), SC_(4.2858188623596794335838558079810850e26) } },
+      { { SC_(1.0), SC_(-0.50000023841857910156250000000000000), SC_(8.9348023981506946089014375825505155) } }, { { SC_(2.0), SC_(-0.50000023841857910156250000000000000), SC_(-0.82884275655508842604754532179574729) } }, { { SC_(3.0), SC_(-0.50000023841857910156250000000000000), SC_(193.40909186276501767728859938348815) } }, { { SC_(4.0), SC_(-0.50000023841857910156250000000000000), SC_(-3.4779145857199327369685563062655118) } }, { { SC_(5.0), SC_(-0.50000023841857910156250000000000000), SC_(15371.113559036959283359095676640936) } }, { { SC_(6.0), SC_(-0.50000023841857910156250000000000000), SC_(-44.073205913790411411330389206216025) } }, { { SC_(7.0), SC_(-0.50000023841857910156250000000000000), SC_(2.5806802184594352176701819301926979e6) } }, { { SC_(8.0), SC_(-0.50000023841857910156250000000000000), SC_(-1237.1507698016190706446362670415721) } }, { { SC_(9.0), SC_(-0.50000023841857910156250000000000000), SC_(7.4318457240443082449903207673842183e8) } }, { { SC_(10.), SC_(-0.50000023841857910156250000000000000), SC_(-120071.43228224150936593763797588950) } }, { { SC_(11.), SC_(-0.50000023841857910156250000000000000), SC_(3.2699873394114574294629126382636465e11) } }, { { SC_(12.), SC_(-0.50000023841857910156250000000000000), SC_(-5.1113082699448800419004327980237078e7) } }, { { SC_(13.), SC_(-0.50000023841857910156250000000000000), SC_(2.0404703892677090523475108203530504e14) } }, { { SC_(14.), SC_(-0.50000023841857910156250000000000000), SC_(-4.1064004123360078851054877806228941e10) } }, { { SC_(15.), SC_(-0.50000023841857910156250000000000000), SC_(1.7139949675921973682361201187974158e17) } }, { { SC_(16.), SC_(-0.50000023841857910156250000000000000), SC_(-4.4482167955078907488604509935932075e13) } }, { { SC_(17.), SC_(-0.50000023841857910156250000000000000), SC_(1.8648265054954360818722434334340996e20) } }, { { SC_(18.), SC_(-0.50000023841857910156250000000000000), SC_(-6.0825438456286690418846111378451293e16) } }, { { SC_(19.), SC_(-0.50000023841857910156250000000000000), SC_(2.5510826566134749972709942636451521e23) } }, { { SC_(20.), SC_(-0.50000023841857910156250000000000000), SC_(-1.0218237211995580504353583819436291e20) } }, { { SC_(21.), SC_(-0.50000023841857910156250000000000000), SC_(4.2858188626062237162861505116019247e26) } },
+      { { SC_(1.0), SC_(-0.49999976158142089843750000000000000), SC_(8.9348020029496580439061915046847633) } }, { { SC_(2.0), SC_(-0.49999976158142089843750000000000000), SC_(-0.82875053191374905338324754695139008) } }, { { SC_(3.0), SC_(-0.49999976158142089843750000000000000), SC_(193.40909020611360344139301017638823) } }, { { SC_(4.0), SC_(-0.49999976158142089843750000000000000), SC_(-3.4705850676169879410688441586536334) } }, { { SC_(5.0), SC_(-0.49999976158142089843750000000000000), SC_(15371.113538314606395712740903053532) } }, { { SC_(6.0), SC_(-0.49999976158142089843750000000000000), SC_(-42.842641692316412901148012739850716) } }, { { SC_(7.0), SC_(-0.49999976158142089843750000000000000), SC_(2.5806802179540060642078552424908302e6) } }, { { SC_(8.0), SC_(-0.49999976158142089843750000000000000), SC_(-882.77275028362734588789574976519641) } }, { { SC_(9.0), SC_(-0.49999976158142089843750000000000000), SC_(7.4318457238435175594844592942103986e8) } }, { { SC_(10.), SC_(-0.49999976158142089843750000000000000), SC_(35853.714744150436439369297880163123) } }, { { SC_(11.), SC_(-0.49999976158142089843750000000000000), SC_(3.2699873393997058844655604408250598e11) } }, { { SC_(12.), SC_(-0.49999976158142089843750000000000000), SC_(4.6184127480583821271680125577145403e7) } }, { { SC_(13.), SC_(-0.49999976158142089843750000000000000), SC_(2.0404703892667592897735663251491103e14) } }, { { SC_(14.), SC_(-0.49999976158142089843750000000000000), SC_(4.0665644827064704770358560360332387e10) } }, { { SC_(15.), SC_(-0.49999976158142089843750000000000000), SC_(1.7139949675920960909557128308150980e17) } }, { { SC_(16.), SC_(-0.49999976158142089843750000000000000), SC_(4.4439689184846657075559083382657063e13) } }, { { SC_(17.), SC_(-0.49999976158142089843750000000000000), SC_(1.8648265054954223096603082369745267e20) } }, { { SC_(18.), SC_(-0.49999976158142089843750000000000000), SC_(6.0819661971925807709274166342293111e16) } }, { { SC_(19.), SC_(-0.49999976158142089843750000000000000), SC_(2.5510826566134726713883235580466596e23) } }, { { SC_(20.), SC_(-0.49999976158142089843750000000000000), SC_(1.0218139657405687413065653078640133e20) } }, { { SC_(21.), SC_(-0.49999976158142089843750000000000000), SC_(4.2858188626062232387116210610555278e26) } },
+   } };
+   if(std::numeric_limits<T>::digits > 50)
+   {
+      do_test_polygamma<T>(neg_double_data, name, "Mathematica Data - large negative arguments");
+   }
+
+   boost::array<boost::array<value_type, 3>, 90> small_data =
+   { {
+      {{ SC_(0.0), SC_(0.12500000000000000000), SC_(-8.3884926632958548678027429230863430) }}, {{ SC_(0.0), SC_(0.062500000000000000000), SC_(-16.478853490060104366505723782801995) }}, {{ SC_(0.0), SC_(0.031250000000000000000), SC_(-32.526953288606118111369026129964135) }}, {{ SC_(0.0), SC_(0.015625000000000000000), SC_(-64.551802973167856670965920212624596) }}, {{ SC_(0.0), SC_(0.0078125000000000000000), SC_(-128.56443747297672763722041223143322) }}, {{ SC_(0.0), SC_(0.0039062500000000000000), SC_(-256.57080841886464838984737508407824) }}, {{ SC_(0.0), SC_(0.0019531250000000000000), SC_(-512.57400748048652546824732749592750) }}, {{ SC_(0.0), SC_(0.00097656250000000000000), SC_(-1024.5756104293406219086220979096446) }}, {{ SC_(0.0), SC_(0.00048828125000000000000), SC_(-2048.5764127609059633822989920937770) }}, {{ SC_(0.0), SC_(0.00024414062500000000000), SC_(-4096.5768141413027972625364884707221) }}, {{ SC_(0.0), SC_(0.00012207031250000000000), SC_(-8192.5770148851960259755970875167303) }}, {{ SC_(0.0), SC_(0.000061035156250000000000), SC_(-16384.577115270571506673278270921248) }}, {{ SC_(0.0), SC_(0.000030517578125000000000), SC_(-32768.577165466617109315191527852551) }}, {{ SC_(0.0), SC_(0.000015258789062500000000), SC_(-65536.577190565479456940587995127301) }}, {{ SC_(0.0), SC_(7.6293945312500000000e-6), SC_(-131072.57720311512052742189906385878) }}, {{ SC_(0.0), SC_(3.8146972656250000000e-6), SC_(-262144.57720938999353809133982546559) }}, {{ SC_(0.0), SC_(1.9073486328125000000e-6), SC_(-524288.57721252744316244096483807868) }}, {{ SC_(0.0), SC_(9.5367431640625000000e-7), SC_(-1.0485765772140961712543892173131386e6) }},
+      {{ SC_(1.0), SC_(0.1250000000), SC_(65.388133444988034473142999334395961) }}, {{ SC_(1.0), SC_(0.06250000000), SC_(257.50642004291541426394984152786018) }}, {{ SC_(1.0), SC_(0.03125000000), SC_(1025.5728544782377088851896549789956) }}, {{ SC_(1.0), SC_(0.01562500000), SC_(4097.6081469812325471140472931934309) }}, {{ SC_(1.0), SC_(0.007812500000), SC_(16385.626348148031663597978251925972) }}, {{ SC_(1.0), SC_(0.003906250000), SC_(65537.635592296074077546680509110271) }}, {{ SC_(1.0), SC_(0.001953125000), SC_(262145.64025088744769438583827382756) }}, {{ SC_(1.0), SC_(0.0009765625000), SC_(1.0485776425893921526170408061678298e6) }},
+      {{ SC_(2.0), SC_(0.1250000000), SC_(-1025.7533381181356825956689300565174) }}, {{ SC_(2.0), SC_(0.06250000000), SC_(-8194.0423055503627202407284588855458) }}, {{ SC_(2.0), SC_(0.03125000000), SC_(-65538.212736402744663973874571262931) }}, {{ SC_(2.0), SC_(0.01562500000), SC_(-524290.30560802491992997062359624105) }}, {{ SC_(2.0), SC_(0.007812500000), SC_(-4.1943063541297826472489756741474152e6) }}, {{ SC_(2.0), SC_(0.003906250000), SC_(-3.3554434378935516909394862712904232e7) }}, {{ SC_(2.0), SC_(0.001953125000), SC_(-2.6843545839147764655287988662280398e8) }}, {{ SC_(2.0), SC_(0.0009765625000), SC_(-2.1474836503977839163960630063909364e9) }},
+      {{ SC_(3.0), SC_(0.1250000000), SC_(24580.143419063566218511004446647010) }}, {{ SC_(3.0), SC_(0.06250000000), SC_(393221.15036999967974263906424748910) }}, {{ SC_(3.0), SC_(0.03125000000), SC_(6.2914617723523498519444110540563165e6) }}, {{ SC_(3.0), SC_(0.01562500000), SC_(1.0066330211954465631968224525194028e8) }}, {{ SC_(3.0), SC_(0.007812500000), SC_(1.6106127423031841473495039368910042e9) }}, {{ SC_(3.0), SC_(0.003906250000), SC_(2.5769803782397651667126674423858834e10) }}, {{ SC_(3.0), SC_(0.001953125000), SC_(4.1231686042244556536661660289768233e11) }}, {{ SC_(3.0), SC_(0.0009765625000), SC_(6.5970697666624696945083422683684831e12) }},
+      {{ SC_(4.0), SC_(0.1250000000), SC_(-786445.98543106378579320120709638297) }}, {{ SC_(4.0), SC_(0.06250000000), SC_(-2.5165842491343080297812493001330106e7) }}, {{ SC_(4.0), SC_(0.03125000000), SC_(-8.0530638940150780088628643019449463e8) }}, {{ SC_(4.0), SC_(0.01562500000), SC_(-2.5769803799064252508878172105001377e10) }}, {{ SC_(4.0), SC_(0.007812500000), SC_(-8.2463372085595426712260437166652246e11) }}, {{ SC_(4.0), SC_(0.003906250000), SC_(-2.6388279066648414875708308182697262e13) }}, {{ SC_(4.0), SC_(0.001953125000), SC_(-8.4442493013199264920484069629201316e14) }}, {{ SC_(4.0), SC_(0.0009765625000), SC_(-2.7021597764223000767391638642998277e16) }},
+      {{ SC_(5.0), SC_(0.1250000000), SC_(3.1457340659602645662942019557433307e7) }}, {{ SC_(5.0), SC_(0.06250000000), SC_(2.0132660051504893647288429933363318e9) }}, {{ SC_(5.0), SC_(0.03125000000), SC_(1.2884901898167237155557768979087387e11) }}, {{ SC_(5.0), SC_(0.01562500000), SC_(8.2463372084313301694493047619778287e12) }}, {{ SC_(5.0), SC_(0.007812500000), SC_(5.2776558133259656048321206289799569e14) }}, {{ SC_(5.0), SC_(0.003906250000), SC_(3.3776997205278839283396175959111085e16) }}, {{ SC_(5.0), SC_(0.001953125000), SC_(2.1617278211378382006727785506307164e18) }}, {{ SC_(5.0), SC_(0.0009765625000), SC_(1.3835058055282163724137457865337740e20) }},
+      {{ SC_(8.0), SC_(0.1250000000), SC_(-5.4116588069756277838328695722389595e12) }}, {{ SC_(8.0), SC_(0.06250000000), SC_(-2.7707693020189462516270216110672946e15) }}, {{ SC_(8.0), SC_(0.03125000000), SC_(-1.4186338826217368769684713903764732e18) }}, {{ SC_(8.0), SC_(0.01562500000), SC_(-7.2634054790231363002428528775599797e20) }}, {{ SC_(8.0), SC_(0.007812500000), SC_(-3.7188636052598456061623085548707189e23) }}, {{ SC_(8.0), SC_(0.003906250000), SC_(-1.9040581658930409501626172937578262e26) }}, {{ SC_(8.0), SC_(0.001953125000), SC_(-9.7487778093723696648306072338399010e28) }}, {{ SC_(8.0), SC_(0.0009765625000), SC_(-4.9913742383986532683932688751727976e31) }},
+      {{ SC_(15.0), SC_(0.1250000000), SC_(3.6807761227792200230957850246407904e26) }}, {{ SC_(15.0), SC_(0.06250000000), SC_(2.4122334398245883325511911077327284e31) }}, {{ SC_(15.0), SC_(0.03125000000), SC_(1.5808813071234422095882610857505513e36) }}, {{ SC_(15.0), SC_(0.01562500000), SC_(1.0360463734364190864757622613687259e41) }}, {{ SC_(15.0), SC_(0.007812500000), SC_(6.7898335129529161251275555560392101e45) }}, {{ SC_(15.0), SC_(0.003906250000), SC_(4.4497852910488231117635948092058560e50) }}, {{ SC_(15.0), SC_(0.001953125000), SC_(2.9162112883417567145253894941611498e55) }}, {{ SC_(15.0), SC_(0.0009765625000), SC_(1.9111682299276536804313592588934511e60) }},
+      {{ SC_(22.0), SC_(0.1250000000), SC_(-6.6349292044725783891012472579673570e41) }}, {{ SC_(22.0), SC_(0.06250000000), SC_(-5.5657820204072306855435555719642654e48) }}, {{ SC_(22.0), SC_(0.03125000000), SC_(-4.6689163582644258586596154617085763e55) }}, {{ SC_(22.0), SC_(0.01562500000), SC_(-3.9165709114267828873358919539012256e62) }}, {{ SC_(22.0), SC_(0.007812500000), SC_(-3.2854578080162002342968961931631453e69) }}, {{ SC_(22.0), SC_(0.003906250000), SC_(-2.7560417651987161415024817781137906e76) }}, {{ SC_(22.0), SC_(0.001953125000), SC_(-2.3119353999880071814336850663739568e83) }}, {{ SC_(22.0), SC_(0.0009765625000), SC_(-1.9393919791822596946232062017265105e90) }},
+      {{ SC_(35.0), SC_(0.1250000000), SC_(3.3532982327901451846973629635910627e72) }}, {{ SC_(35.0), SC_(0.06250000000), SC_(2.3043689989709229438987285737704404e83) }}, {{ SC_(35.0), SC_(0.03125000000), SC_(1.5835503181594194718369731136519624e94) }}, {{ SC_(35.0), SC_(0.01562500000), SC_(1.0882074924904162473416628106826351e105) }}, {{ SC_(35.0), SC_(0.007812500000), SC_(7.4781049464136054012151819362261716e115) }}, {{ SC_(35.0), SC_(0.003906250000), SC_(5.1389145889443628300269064119650184e126) }}, {{ SC_(35.0), SC_(0.001953125000), SC_(3.5314352154325314429637711743107931e137) }}, {{ SC_(35.0), SC_(0.0009765625000), SC_(2.4267838013160699267233738410387795e148) }}
+   } };
+   do_test_polygamma<T>(small_data, name, "Mathematica Data - small arguments");
+
+   using std::ldexp;
+
+   boost::array<boost::array<value_type, 3>, 23> bug_cases = 
+   { {
+      {{ SC_(171.0), SC_(2.0), SC_(2.073093314165313149880140394410e257) }}, {{ SC_(171.0), SC_(5.0), SC_(7.42911976071332889749264626321716781e188) }},
+      {{ SC_(166.0), SC_(2.0), SC_(-4.8129498903508823293044351695484095e247) }}, {{ SC_(166.0), SC_(3.0), SC_(-1.8843912448604502196243093626013895e218) }},
+      {{ SC_(171.0), SC_(23.0), SC_(7.53143916217078889612817829861181739e74) }}, {{ SC_(168.0), SC_(150.0), SC_(-6.5266062780306068333215312257902920e-66) }},
+      {{ SC_(169.0), SC_(202.0), SC_(9.2734049986021958613510169328055599e-88) }},
+      {{ SC_(20.0), SC_(-9.5), SC_(-0.0010307637762451416598018081796345932)}}, {{ SC_(21.0), SC_(-9.5), SC_(4.2858188624279670465725116159418790e26) }}, {{ SC_(22.0), SC_(-9.5), SC_(-0.0041914420015886426448664611125724338) }}, {{ SC_(23.0), SC_(-9.5), SC_(8.6744973773084910367753904944787155e29) }}, {{ SC_(24.0), SC_(-9.5), SC_(-0.020482527998674199369359987617445420) }}, {{ SC_(25.0), SC_(-9.5), SC_(2.0818793705474855280713094147422278e33) }}, {{ SC_(26.0), SC_(-9.5), SC_(-0.11840299831136879082790399023048278) }}, {{ SC_(27.0), SC_(-9.5), SC_(5.8459172724952950454469355072783445e36) }}, {{ SC_(28.0), SC_(-9.5), SC_(-0.79896867888629450211348696225656872) }}, {{ SC_(29.0), SC_(-9.5), SC_(1.8987539301063980537054871851063348e40) }}, {{ SC_(30.0), SC_(-9.5), SC_(-6.2224465669723272001827279817965087) }},
+      {{ SC_(1.0), ldexp(value_type(1), 120), SC_(7.5231638452626400509999138382223723e-37) }}, {{ SC_(2.0), ldexp(value_type(1), 120), SC_(-5.6597994242666952296931995568048699e-73) }}, {{ SC_(3.0), ldexp(value_type(1), 120), SC_(8.5159196800163014398201074324946177e-109) }}, {{ SC_(10.0), ldexp(value_type(1), 120), SC_(-2.1075031678562075551498983356333178e-356) }}, {{ SC_(15.0), ldexp(value_type(1), 120), SC_(1.2201582392961399809842378412624410e-531) }},
+   } };
+   do_test_polygamma<T>(bug_cases, name, "Mathematica Data - Large orders and other bug cases");
+}
+
diff --git a/src/boost/libs/math/test/test_polynomial.cpp b/src/boost/libs/math/test/test_polynomial.cpp
new file mode 100644
index 000000000..503d0e2a4
--- /dev/null
+++ b/src/boost/libs/math/test/test_polynomial.cpp
@@ -0,0 +1,614 @@
+//  (C) Copyright Jeremy Murphy 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/config.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/array.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/integer/common_factor_rt.hpp>
+#include <boost/mpl/list.hpp>
+#include <boost/mpl/joint_view.hpp>
+#include <boost/test/test_case_template.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/multiprecision/cpp_int.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#include <utility>
+
+#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3)
+#  define TEST1
+#  define TEST2
+#  define TEST3
+#endif
+
+using namespace boost::math;
+using boost::integer::gcd;
+using namespace boost::math::tools;
+using namespace std;
+using boost::integer::gcd_detail::Euclid_gcd;
+using boost::math::tools::subresultant_gcd;
+
+template <typename T>
+struct answer
+{
+    answer(std::pair< polynomial<T>, polynomial<T> > const &x) :
+    quotient(x.first), remainder(x.second) {}
+
+    polynomial<T> quotient;
+    polynomial<T> remainder;
+};
+
+boost::array<double, 4> const d3a = {{10, -6, -4, 3}};
+boost::array<double, 4> const d3b = {{-7, 5, 6, 1}};
+
+boost::array<double, 2> const d1a = {{-2, 1}};
+boost::array<double, 1> const d0a = {{6}};
+boost::array<double, 2> const d0a1 = {{0, 6}};
+boost::array<double, 6> const d0a5 = {{0, 0, 0, 0, 0, 6}};
+
+
+boost::array<int, 9> const d8 = {{-5, 2, 8, -3, -3, 0, 1, 0, 1}};
+boost::array<int, 9> const d8b = {{0, 2, 8, -3, -3, 0, 1, 0, 1}};
+
+
+
+BOOST_AUTO_TEST_CASE(trivial)
+{
+   /* We have one empty test case here, so that there is always something for Boost.Test to do even if the tests below are #if'ed out */
+}
+
+
+#ifdef TEST1
+
+boost::array<double, 4> const d3c = {{10.0/3.0, -2.0, -4.0/3.0, 1.0}};
+boost::array<double, 3> const d2a = {{-2, 2, 3}};
+boost::array<double, 3> const d2b = {{-7, 5, 6}};
+boost::array<double, 3> const d2c = {{31, -21, -22}};
+boost::array<double, 1> const d0b = {{3}};
+boost::array<int, 7> const d6 = {{21, -9, -4, 0, 5, 0, 3}};
+boost::array<int, 3> const d2 = {{-6, 0, 9}};
+boost::array<int, 6> const d5 = {{-9, 0, 3, 0, -15}};
+
+
+BOOST_AUTO_TEST_CASE( test_construction )
+{
+    polynomial<double> const a(d3a.begin(), d3a.end());
+    polynomial<double> const b(d3a.begin(), 3);
+    BOOST_CHECK_EQUAL(a, b);
+}
+
+#ifdef BOOST_MATH_HAS_IS_CONST_ITERABLE
+
+#include <list>
+#include <array>
+
+BOOST_AUTO_TEST_CASE(test_range_construction)
+{
+   std::list<double> l{ 1, 2, 3, 4 };
+   std::array<double, 4> a{ 3, 4, 5, 6 };
+   polynomial<double> p1{ 1, 2, 3, 4 };
+   polynomial<double> p2{ 3, 4, 5, 6 };
+
+   polynomial<double> p3(l);
+   polynomial<double> p4(a);
+
+   BOOST_CHECK_EQUAL(p1, p3);
+   BOOST_CHECK_EQUAL(p2, p4);
+}
+#endif
+
+#if !defined(BOOST_NO_CXX11_HDR_INITIALIZER_LIST) && !BOOST_WORKAROUND(BOOST_GCC_VERSION, < 40500)
+BOOST_AUTO_TEST_CASE( test_initializer_list_construction )
+{
+    polynomial<double> a(begin(d3a), end(d3a));
+    polynomial<double> b = {10, -6, -4, 3};
+    polynomial<double> c{10, -6, -4, 3};
+    polynomial<double> d{10, -6, -4, 3, 0, 0};
+    BOOST_CHECK_EQUAL(a, b);
+    BOOST_CHECK_EQUAL(b, c);
+    BOOST_CHECK_EQUAL(d.degree(), 3u);
+}
+
+BOOST_AUTO_TEST_CASE( test_initializer_list_assignment )
+{
+    polynomial<double> a(begin(d3a), end(d3a));
+    polynomial<double> b;
+    b = {10, -6, -4, 3, 0, 0};
+    BOOST_CHECK_EQUAL(b.degree(), 3u);
+    BOOST_CHECK_EQUAL(a, b);
+}
+#endif
+
+
+BOOST_AUTO_TEST_CASE( test_degree )
+{
+    polynomial<double> const zero;
+    polynomial<double> const a(d3a.begin(), d3a.end());
+    BOOST_CHECK_THROW(zero.degree(), std::logic_error);
+    BOOST_CHECK_EQUAL(a.degree(), 3u);
+}
+
+
+BOOST_AUTO_TEST_CASE( test_division_over_field )
+{
+    polynomial<double> const a(d3a.begin(), d3a.end());
+    polynomial<double> const b(d1a.begin(), d1a.end());
+    polynomial<double> const q(d2a.begin(), d2a.end());
+    polynomial<double> const r(d0a.begin(), d0a.end());
+    polynomial<double> const c(d3b.begin(), d3b.end());
+    polynomial<double> const d(d2b.begin(), d2b.end());
+    polynomial<double> const e(d2c.begin(), d2c.end());
+    polynomial<double> const f(d0b.begin(), d0b.end());
+    polynomial<double> const g(d3c.begin(), d3c.end());
+    polynomial<double> const zero;
+    polynomial<double> const one(1.0);
+
+    answer<double> result = quotient_remainder(a, b);
+    BOOST_CHECK_EQUAL(result.quotient, q);
+    BOOST_CHECK_EQUAL(result.remainder, r);
+    BOOST_CHECK_EQUAL(a, q * b + r); // Sanity check.
+
+    result = quotient_remainder(a, c);
+    BOOST_CHECK_EQUAL(result.quotient, f);
+    BOOST_CHECK_EQUAL(result.remainder, e);
+    BOOST_CHECK_EQUAL(a, f * c + e); // Sanity check.
+
+    result = quotient_remainder(a, f);
+    BOOST_CHECK_EQUAL(result.quotient, g);
+    BOOST_CHECK_EQUAL(result.remainder, zero);
+    BOOST_CHECK_EQUAL(a, g * f + zero); // Sanity check.
+    // Check that division by a regular number gives the same result.
+    BOOST_CHECK_EQUAL(a / 3.0, g);
+    BOOST_CHECK_EQUAL(a % 3.0, zero);
+
+    // Sanity checks.
+    BOOST_CHECK_EQUAL(a / a, one);
+    BOOST_CHECK_EQUAL(a % a, zero);
+    // BOOST_CHECK_EQUAL(zero / zero, zero); // TODO
+}
+
+BOOST_AUTO_TEST_CASE( test_division_over_ufd )
+{
+    polynomial<int> const zero;
+    polynomial<int> const one(1);
+    polynomial<int> const aa(d8.begin(), d8.end());
+    polynomial<int> const bb(d6.begin(), d6.end());
+    polynomial<int> const q(d2.begin(), d2.end());
+    polynomial<int> const r(d5.begin(), d5.end());
+
+    answer<int> result = quotient_remainder(aa, bb);
+    BOOST_CHECK_EQUAL(result.quotient, q);
+    BOOST_CHECK_EQUAL(result.remainder, r);
+
+    // Sanity checks.
+    BOOST_CHECK_EQUAL(aa / aa, one);
+    BOOST_CHECK_EQUAL(aa % aa, zero);
+}
+
+#endif
+
+template <typename T>
+struct FM2GP_Ex_8_3__1
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_Ex_8_3__1()
+    {
+        boost::array<T, 5> const x_data = {{105, 278, -88, -56, 16}};
+        boost::array<T, 5> const y_data = {{70, 232, -44, -64, 16}};
+        boost::array<T, 3> const z_data = {{35, -24, 4}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+template <typename T>
+struct FM2GP_Ex_8_3__2
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_Ex_8_3__2()
+    {
+        boost::array<T, 5> const x_data = {{1, -6, -8, 6, 7}};
+        boost::array<T, 5> const y_data = {{1, -5, -2, 15, 11}};
+        boost::array<T, 3> const z_data = {{1, 2, 1}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+
+template <typename T>
+struct FM2GP_mixed
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_mixed()
+    {
+        boost::array<T, 4> const x_data = {{-2.2, -3.3, 0, 1}};
+        boost::array<T, 3> const y_data = {{-4.4, 0, 1}};
+        boost::array<T, 2> const z_data= {{-2, 1}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+
+template <typename T>
+struct FM2GP_trivial
+{
+    polynomial<T> x;
+    polynomial<T> y;
+    polynomial<T> z;
+
+    FM2GP_trivial()
+    {
+        boost::array<T, 4> const x_data = {{-2, -3, 0, 1}};
+        boost::array<T, 3> const y_data = {{-4, 0, 1}};
+        boost::array<T, 2> const z_data= {{-2, 1}};
+        x = polynomial<T>(x_data.begin(), x_data.end());
+        y = polynomial<T>(y_data.begin(), y_data.end());
+        z = polynomial<T>(z_data.begin(), z_data.end());
+    }
+};
+
+// Sanity checks to make sure I didn't break it.
+#ifdef TEST1
+typedef boost::mpl::list<char, short, int, long> integral_test_types;
+typedef boost::mpl::list<int, long> large_integral_test_types;
+typedef boost::mpl::list<> mp_integral_test_types;
+#elif defined(TEST2)
+typedef boost::mpl::list<
+#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
+   boost::multiprecision::cpp_int
+#endif
+> integral_test_types;
+typedef integral_test_types large_integral_test_types;
+typedef large_integral_test_types mp_integral_test_types;
+#elif defined(TEST3)
+typedef boost::mpl::list<> large_integral_test_types;
+typedef boost::mpl::list<> integral_test_types;
+typedef large_integral_test_types mp_integral_test_types;
+#endif
+
+#ifdef TEST1
+typedef boost::mpl::list<double, long double> non_integral_test_types;
+#elif defined(TEST2)
+typedef boost::mpl::list<
+#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
+   boost::multiprecision::cpp_rational
+#endif
+> non_integral_test_types;
+#elif defined(TEST3)
+typedef boost::mpl::list<
+#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
+   boost::multiprecision::cpp_bin_float_single, boost::multiprecision::cpp_dec_float_50
+#endif
+> non_integral_test_types;
+#endif
+
+typedef boost::mpl::joint_view<integral_test_types, non_integral_test_types> all_test_types;
+
+
+template <typename T>
+void normalize(polynomial<T> &p)
+{
+    if (leading_coefficient(p) < T(0))
+        std::transform(p.data().begin(), p.data().end(), p.data().begin(), std::negate<T>());
+}
+
+/**
+ * Note that we do not expect 'pure' gcd algorithms to normalize the result.
+ * However, the usual public interface function gcd() will do that.
+ */
+
+BOOST_AUTO_TEST_SUITE(test_subresultant_gcd)
+
+// This test is just to show that gcd<polynomial<T>>(u, v) is defined (and works) when T is integral and multiprecision.
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( gcd_interface, T, mp_integral_test_types, FM2GP_Ex_8_3__1<T> )
+{
+    typedef FM2GP_Ex_8_3__1<T> fixture_type;
+    polynomial<T> w;
+    w = gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+// This test is just to show that gcd<polynomial<T>>(u, v) is defined (and works) when T is floating point.
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( gcd_float_interface, T, non_integral_test_types, FM2GP_Ex_8_3__1<T> )
+{
+    typedef FM2GP_Ex_8_3__1<T> fixture_type;
+    polynomial<T> w;
+    w = gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+// The following tests call subresultant_gcd explicitly to remove any ambiguity
+// and to permit testing on single-precision integral types.
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( Ex_8_3__1, T, large_integral_test_types, FM2GP_Ex_8_3__1<T> )
+{
+    typedef FM2GP_Ex_8_3__1<T> fixture_type;
+    polynomial<T> w;
+    w = subresultant_gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = subresultant_gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( Ex_8_3__2, T, large_integral_test_types, FM2GP_Ex_8_3__2<T> )
+{
+    typedef FM2GP_Ex_8_3__2<T> fixture_type;
+    polynomial<T> w;
+    w = subresultant_gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = subresultant_gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+BOOST_FIXTURE_TEST_CASE_TEMPLATE( trivial_int, T, large_integral_test_types, FM2GP_trivial<T> )
+{
+    typedef FM2GP_trivial<T> fixture_type;
+    polynomial<T> w;
+    w = subresultant_gcd(fixture_type::x, fixture_type::y);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+    w = subresultant_gcd(fixture_type::y, fixture_type::x);
+    normalize(w);
+    BOOST_CHECK_EQUAL(w, fixture_type::z);
+}
+
+BOOST_AUTO_TEST_SUITE_END()
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_addition, T, all_test_types )
+{
+    polynomial<T> const a(d3a.begin(), d3a.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+    polynomial<T> const zero;
+
+    polynomial<T> result = a + b; // different degree
+    boost::array<T, 4> tmp = {{8, -5, -4, 3}};
+    polynomial<T> expected(tmp.begin(), tmp.end());
+    BOOST_CHECK_EQUAL(result, expected);
+    BOOST_CHECK_EQUAL(a + zero, a);
+    BOOST_CHECK_EQUAL(a + b, b + a);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_subtraction, T, all_test_types )
+{
+    polynomial<T> const a(d3a.begin(), d3a.end());
+    polynomial<T> const zero;
+
+    BOOST_CHECK_EQUAL(a - T(0), a);
+    BOOST_CHECK_EQUAL(T(0) - a, -a);
+    BOOST_CHECK_EQUAL(a - zero, a);
+    BOOST_CHECK_EQUAL(zero - a, -a);
+    BOOST_CHECK_EQUAL(a - a, zero);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_multiplication, T, all_test_types )
+{
+    polynomial<T> const a(d3a.begin(), d3a.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+    polynomial<T> const zero;
+    boost::array<T, 7> const d3a_sq = {{100, -120, -44, 108, -20, -24, 9}};
+    polynomial<T> const a_sq(d3a_sq.begin(), d3a_sq.end());
+
+    BOOST_CHECK_EQUAL(a * T(0), zero);
+    BOOST_CHECK_EQUAL(a * zero, zero);
+    BOOST_CHECK_EQUAL(zero * T(0), zero);
+    BOOST_CHECK_EQUAL(zero * zero, zero);
+    BOOST_CHECK_EQUAL(a * b, b * a);
+    polynomial<T> aa(a);
+    aa *= aa;
+    BOOST_CHECK_EQUAL(aa, a_sq);
+    BOOST_CHECK_EQUAL(aa, a * a);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_arithmetic_relations, T, all_test_types )
+{
+    polynomial<T> const a(d8b.begin(), d8b.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+
+    BOOST_CHECK_EQUAL(a * T(2), a + a);
+    BOOST_CHECK_EQUAL(a - b, -b + a);
+    BOOST_CHECK_EQUAL(a, (a * a) / a);
+    BOOST_CHECK_EQUAL(a, (a / a) * a);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_non_integral_arithmetic_relations, T, non_integral_test_types )
+{
+    polynomial<T> const a(d8b.begin(), d8b.end());
+    polynomial<T> const b(d1a.begin(), d1a.end());
+
+    BOOST_CHECK_EQUAL(a * T(0.5), a / T(2));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_cont_and_pp, T, integral_test_types)
+{
+    boost::array<polynomial<T>, 4> const q={{
+        polynomial<T>(d8.begin(), d8.end()),
+        polynomial<T>(d8b.begin(), d8b.end()),
+        polynomial<T>(d3a.begin(), d3a.end()),
+        polynomial<T>(d3b.begin(), d3b.end())
+    }};
+    for (std::size_t i = 0; i < q.size(); i++)
+    {
+        BOOST_CHECK_EQUAL(q[i], content(q[i]) * primitive_part(q[i]));
+        BOOST_CHECK_EQUAL(primitive_part(q[i]), primitive_part(q[i], content(q[i])));
+    }
+
+    polynomial<T> const zero;
+    BOOST_CHECK_EQUAL(primitive_part(zero), zero);
+    BOOST_CHECK_EQUAL(content(zero), T(0));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_self_multiply_assign, T, all_test_types )
+{
+    polynomial<T> a(d3a.begin(), d3a.end());
+    polynomial<T> const b(a);
+    boost::array<double, 7> const d3a_sq = {{100, -120, -44, 108, -20, -24, 9}};
+    polynomial<T> const asq(d3a_sq.begin(), d3a_sq.end());
+
+    a *= a;
+
+    BOOST_CHECK_EQUAL(a, b*b);
+    BOOST_CHECK_EQUAL(a, asq);
+
+    a *= a;
+
+    BOOST_CHECK_EQUAL(a, b*b*b*b);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_right_shift, T, all_test_types )
+{
+    polynomial<T> a(d8b.begin(), d8b.end());
+    polynomial<T> const aa(a);
+    polynomial<T> const b(d8b.begin() + 1, d8b.end());
+    polynomial<T> const c(d8b.begin() + 5, d8b.end());
+    a >>= 0u;
+    BOOST_CHECK_EQUAL(a, aa);
+    a >>= 1u;
+    BOOST_CHECK_EQUAL(a, b);
+    a = a >> 4u;
+    BOOST_CHECK_EQUAL(a, c);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_left_shift, T, all_test_types )
+{
+    polynomial<T> a(d0a.begin(), d0a.end());
+    polynomial<T> const aa(a);
+    polynomial<T> const b(d0a1.begin(), d0a1.end());
+    polynomial<T> const c(d0a5.begin(), d0a5.end());
+    a <<= 0u;
+    BOOST_CHECK_EQUAL(a, aa);
+    a <<= 1u;
+    BOOST_CHECK_EQUAL(a, b);
+    a = a << 4u;
+    BOOST_CHECK_EQUAL(a, c);
+    polynomial<T> zero;
+    // Multiplying zero by x should still be zero.
+    zero <<= 1u;
+    BOOST_CHECK_EQUAL(zero, zero_element(multiplies< polynomial<T> >()));
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_odd_even, T, all_test_types)
+{
+    polynomial<T> const zero;
+    BOOST_CHECK_EQUAL(odd(zero), false);
+    BOOST_CHECK_EQUAL(even(zero), true);
+    polynomial<T> const a(d0a.begin(), d0a.end());
+    BOOST_CHECK_EQUAL(odd(a), true);
+    BOOST_CHECK_EQUAL(even(a), false);
+    polynomial<T> const b(d0a1.begin(), d0a1.end());
+    BOOST_CHECK_EQUAL(odd(b), false);
+    BOOST_CHECK_EQUAL(even(b), true);
+}
+
+// NOTE: Slightly unexpected: this unit test passes even when T = char.
+BOOST_AUTO_TEST_CASE_TEMPLATE( test_pow, T, all_test_types )
+{
+   if (std::numeric_limits<T>::digits < 32)
+      return;   // Invokes undefined behaviour
+    polynomial<T> a(d3a.begin(), d3a.end());
+    polynomial<T> const one(T(1));
+    boost::array<double, 7> const d3a_sqr = {{100, -120, -44, 108, -20, -24, 9}};
+    boost::array<double, 10> const d3a_cub =
+        {{1000, -1800, -120, 2124, -1032, -684, 638, -18, -108, 27}};
+    polynomial<T> const asqr(d3a_sqr.begin(), d3a_sqr.end());
+    polynomial<T> const acub(d3a_cub.begin(), d3a_cub.end());
+
+    BOOST_CHECK_EQUAL(pow(a, 0), one);
+    BOOST_CHECK_EQUAL(pow(a, 1), a);
+    BOOST_CHECK_EQUAL(pow(a, 2), asqr);
+    BOOST_CHECK_EQUAL(pow(a, 3), acub);
+    BOOST_CHECK_EQUAL(pow(a, 4), pow(asqr, 2));
+    BOOST_CHECK_EQUAL(pow(a, 5), asqr * acub);
+    BOOST_CHECK_EQUAL(pow(a, 6), pow(acub, 2));
+    BOOST_CHECK_EQUAL(pow(a, 7), acub * acub * a);
+
+    BOOST_CHECK_THROW(pow(a, -1), std::domain_error);
+    BOOST_CHECK_EQUAL(pow(one, 137), one);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_bool, T, all_test_types)
+{
+    polynomial<T> const zero;
+    polynomial<T> const a(d0a.begin(), d0a.end());
+    BOOST_CHECK_EQUAL(bool(zero), false);
+    BOOST_CHECK_EQUAL(bool(a), true);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_set_zero, T, all_test_types)
+{
+    polynomial<T> const zero;
+    polynomial<T> a(d0a.begin(), d0a.end());
+    a.set_zero();
+    BOOST_CHECK_EQUAL(a, zero);
+    a.set_zero(); // Ensure that setting zero to zero is a no-op.
+    BOOST_CHECK_EQUAL(a, zero);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_leading_coefficient, T, all_test_types)
+{
+    polynomial<T> const zero;
+    BOOST_CHECK_EQUAL(leading_coefficient(zero), T(0));
+    polynomial<T> a(d0a.begin(), d0a.end());
+    BOOST_CHECK_EQUAL(leading_coefficient(a), T(d0a.back()));
+}
+
+#if !defined(BOOST_NO_CXX11_RVALUE_REFERENCES) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX)
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_prime, T, all_test_types)
+{
+    std::vector<T> d{1,1,1,1,1};
+    polynomial<T> p(std::move(d));
+    polynomial<T> q = p.prime();
+    BOOST_CHECK_EQUAL(q(0), T(1));
+
+    for (size_t i = 0; i < q.size(); ++i)
+    {
+        BOOST_CHECK_EQUAL(q[i], i+1);
+    }
+
+    polynomial<T> P = p.integrate();
+    BOOST_CHECK_EQUAL(P(0), T(0));
+    for (size_t i = 1; i < P.size(); ++i)
+    {
+        BOOST_CHECK_EQUAL(P[i], 1/static_cast<T>(i));
+    }
+
+    polynomial<T> empty;
+    q = empty.prime();
+    BOOST_CHECK_EQUAL(q.size(), 0);
+
+}
+#endif
diff --git a/src/boost/libs/math/test/test_print_info_on_type.cpp b/src/boost/libs/math/test/test_print_info_on_type.cpp
new file mode 100644
index 000000000..880209771
--- /dev/null
+++ b/src/boost/libs/math/test/test_print_info_on_type.cpp
@@ -0,0 +1,75 @@
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/constants/info.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+int main()
+{
+   boost::math::constants::print_info_on_type<float>();
+   boost::math::constants::print_info_on_type<double>();
+   boost::math::constants::print_info_on_type<long double>();
+   boost::math::constants::print_info_on_type<boost::math::concepts::real_concept>();
+
+   return 0;
+}
+
+/*
+
+------ Rebuild All started: Project: test_print_info_on_type, Configuration: Debug Win32 ------
+  test_print_info_on_type.cpp
+  test_print_info_on_type.vcxproj -> J:\Cpp\math_constants\Debug\test_print_info_on_type.exe
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type float
+  
+  Checking for std::numeric_limits<float> specialisation: yes
+  std::numeric_limits<float>::digits reports that the precision is 
+  24 binary digits.
+  boost::math::policies::precision<float, Policy> reports that the compile time precision is 
+  24 binary digits.
+  The constant will be constructed from a float.
+  
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type double
+  
+  Checking for std::numeric_limits<double> specialisation: yes
+  std::numeric_limits<double>::digits reports that the precision is 
+  53 binary digits.
+  boost::math::policies::precision<double, Policy> reports that the compile time precision is 
+  53 binary digits.
+  The constant will be constructed from a double.
+  
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type long double
+  
+  Checking for std::numeric_limits<long double> specialisation: yes
+  std::numeric_limits<long double>::digits reports that the precision is 
+  53 binary digits.
+  boost::math::policies::precision<long double, Policy> reports that the compile time precision is 
+  53 binary digits.
+  The constant will be constructed from a double.
+  
+  Information on the Implementation and Handling of 
+  Mathematical Constants for Type class boost::math::concepts::real_concept
+  
+  Checking for std::numeric_limits<class boost::math::concepts::real_concept> specialisation: no
+  boost::math::policies::precision<class boost::math::concepts::real_concept, Policy> 
+  reports that there is no compile type precision available.
+  boost::math::tools::digits<class boost::math::concepts::real_concept>() 
+  reports that the current runtime precision is 
+  53 binary digits.
+  No compile time precision is available, the construction method 
+  will be decided at runtime and results will not be cached 
+  - this may lead to poor runtime performance.
+  Current runtime precision indicates that
+  the constant will be constructed from a string on each call.
+  
+========== Rebuild All: 1 succeeded, 0 failed, 0 skipped ==========
+
+
+*/
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational.hpp b/src/boost/libs/math/test/test_rational_instances/test_rational.hpp
new file mode 100644
index 000000000..7d0439676
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational.hpp
@@ -0,0 +1,5480 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#ifndef BOOST_MATH_TEST_RATIONAL_HPP
+#define BOOST_MATH_TEST_RATIONAL_HPP
+
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/array.hpp>
+#include <boost/math/tools/rational.hpp>
+#include <boost/math/tools/precision.hpp>
+
+template <class T, class U>
+void do_test_spots1(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Everything past this point is generated by the program
+   // ../tools/generate_rational_test.cpp
+   //
+
+   //
+   // Polynomials of order 0
+   //
+   static const U n1c[1] = { 2 };
+   static const boost::array<U, 1> n1a = {{ 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.125), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.25), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.75), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(6.5), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(10247.25), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(6.5)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1c, static_cast<T>(10247.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(6.5)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n1a, static_cast<T>(10247.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.125), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.25), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.75), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(6.5f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(10247.25f), 1),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(0.125)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(0.25)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(0.75)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n1a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2e1L),
+      tolerance);
+
+   //
+   // Rational functions of order 0
+   //
+   static const U d1c[1] = { 3 };
+   static const boost::array<U, 1> d1a = {{ 3 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.125), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.25), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.75), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(1.0f - 1.0f/64.0f), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(6.5f), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(10247.25f), 1),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.125)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.25)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(0.75)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1c, d1c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(0.125)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(0.25)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(0.75)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n1a, d1a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6666666666666666666666666666666666666667e0L),
+      tolerance);
+
+   //
+   // Polynomials of order 1
+   //
+   static const U n2c[2] = { 3, 1 };
+   static const boost::array<U, 2> n2a = {{ 3, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(6.5), 2),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(10247.25), 2),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(6.5)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2c, static_cast<T>(10247.25)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(6.5)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n2a, static_cast<T>(10247.25)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.3015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.30625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.35625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.3968994140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(6.5f), 2),
+      static_cast<T>(0.4525e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(10247.25f), 2),
+      static_cast<T>(0.1050061355625e9L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.125)),
+      static_cast<T>(0.3015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.25)),
+      static_cast<T>(0.30625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(0.75)),
+      static_cast<T>(0.35625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3968994140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4525e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1050061355625e9L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(0.125)),
+      static_cast<T>(0.3015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(0.25)),
+      static_cast<T>(0.30625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(0.75)),
+      static_cast<T>(0.35625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3968994140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4525e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n2a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1050061355625e9L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(6.5f), 2),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(10247.25f), 2),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(6.5f)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(0.125)),
+      static_cast<T>(0.3125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(0.25)),
+      static_cast<T>(0.325e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(0.75)),
+      static_cast<T>(0.375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(6.5f)),
+      static_cast<T>(0.95e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n2a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1025025e5L),
+      tolerance);
+
+   //
+   // Rational functions of order 1
+   //
+   static const U d2c[2] = { 5, 9 };
+   static const boost::array<U, 2> d2a = {{ 5, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.125), 2),
+      static_cast<T>(0.5102040816326530612244897959183673469388e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.25), 2),
+      static_cast<T>(0.4482758620689655172413793103448275862069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.75), 2),
+      static_cast<T>(0.3191489361702127659574468085106382978723e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(1.0f - 1.0f/64.0f), 2),
+      static_cast<T>(0.2874859075535512965050732807215332581736e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(6.5f), 2),
+      static_cast<T>(0.1496062992125984251968503937007874015748e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(10247.25f), 2),
+      static_cast<T>(0.1111376148281068304596377002122405609873e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.125)),
+      static_cast<T>(0.5102040816326530612244897959183673469388e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.25)),
+      static_cast<T>(0.4482758620689655172413793103448275862069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(0.75)),
+      static_cast<T>(0.3191489361702127659574468085106382978723e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2874859075535512965050732807215332581736e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1496062992125984251968503937007874015748e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2c, d2c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111376148281068304596377002122405609873e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(0.125)),
+      static_cast<T>(0.5102040816326530612244897959183673469388e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(0.25)),
+      static_cast<T>(0.4482758620689655172413793103448275862069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(0.75)),
+      static_cast<T>(0.3191489361702127659574468085106382978723e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.2874859075535512965050732807215332581736e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1496062992125984251968503937007874015748e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n2a, d2a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111376148281068304596377002122405609873e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots2(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 2
+   //
+   static const U n3c[3] = { 10, 6, 11 };
+   static const boost::array<U, 3> n3a = {{ 10, 6, 11 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.10921875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.121875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.206875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.26565185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(6.5), 3),
+      static_cast<T>(0.51375e3L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(10247.25), 3),
+      static_cast<T>(0.11551289516875e10L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.125)),
+      static_cast<T>(0.10921875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.25)),
+      static_cast<T>(0.121875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(0.75)),
+      static_cast<T>(0.206875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26565185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(6.5)),
+      static_cast<T>(0.51375e3L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3c, static_cast<T>(10247.25)),
+      static_cast<T>(0.11551289516875e10L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(0.125)),
+      static_cast<T>(0.10921875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(0.25)),
+      static_cast<T>(0.121875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(0.75)),
+      static_cast<T>(0.206875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26565185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(6.5)),
+      static_cast<T>(0.51375e3L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n3a, static_cast<T>(10247.25)),
+      static_cast<T>(0.11551289516875e10L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.10096435546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.1041796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.1685546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.26142410933971405029296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(6.5f), 3),
+      static_cast<T>(0.198991875e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(10247.25f), 3),
+      static_cast<T>(0.12128916726310335635546875e18L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.125)),
+      static_cast<T>(0.10096435546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.25)),
+      static_cast<T>(0.1041796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(0.75)),
+      static_cast<T>(0.1685546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26142410933971405029296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(6.5f)),
+      static_cast<T>(0.198991875e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12128916726310335635546875e18L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(0.125)),
+      static_cast<T>(0.10096435546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(0.25)),
+      static_cast<T>(0.1041796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(0.75)),
+      static_cast<T>(0.1685546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26142410933971405029296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(6.5f)),
+      static_cast<T>(0.198991875e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n3a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12128916726310335635546875e18L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.10771484375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.11671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.19140625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.26398639678955078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(6.5f), 3),
+      static_cast<T>(0.3069875e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(10247.25f), 3),
+      static_cast<T>(0.11836265072405359375e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.125)),
+      static_cast<T>(0.10771484375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.25)),
+      static_cast<T>(0.11671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(0.75)),
+      static_cast<T>(0.19140625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26398639678955078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3069875e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.11836265072405359375e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(0.125)),
+      static_cast<T>(0.10771484375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(0.25)),
+      static_cast<T>(0.11671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(0.75)),
+      static_cast<T>(0.19140625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.26398639678955078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3069875e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n3a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.11836265072405359375e14L),
+      tolerance);
+
+   //
+   // Rational functions of order 2
+   //
+   static const U d3c[3] = { 3, 4, 10 };
+   static const boost::array<U, 3> d3a = {{ 3, 4, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.125), 3),
+      static_cast<T>(0.2987179487179487179487179487179487179487e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.25), 3),
+      static_cast<T>(0.2635135135135135135135135135135135135135e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.75), 3),
+      static_cast<T>(0.1779569892473118279569892473118279569892e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(1.0f - 1.0f/64.0f), 3),
+      static_cast<T>(0.1597671277126831703520981998649164537633e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(6.5f), 3),
+      static_cast<T>(0.1137873754152823920265780730897009966777e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(10247.25f), 3),
+      static_cast<T>(0.1100015619716026431429617996316152069115e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.125)),
+      static_cast<T>(0.2987179487179487179487179487179487179487e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.25)),
+      static_cast<T>(0.2635135135135135135135135135135135135135e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(0.75)),
+      static_cast<T>(0.1779569892473118279569892473118279569892e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1597671277126831703520981998649164537633e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1137873754152823920265780730897009966777e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3c, d3c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1100015619716026431429617996316152069115e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(0.125)),
+      static_cast<T>(0.2987179487179487179487179487179487179487e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(0.25)),
+      static_cast<T>(0.2635135135135135135135135135135135135135e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(0.75)),
+      static_cast<T>(0.1779569892473118279569892473118279569892e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1597671277126831703520981998649164537633e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1137873754152823920265780730897009966777e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n3a, d3a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1100015619716026431429617996316152069115e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots3(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 3
+   //
+   static const U n4c[4] = { 1, 4, 9, 11 };
+   static const boost::array<U, 4> n4a = {{ 1, 4, 9, 11 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.2734375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.13703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.24150836944580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(6.5), 4),
+      static_cast<T>(0.3428125e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(10247.25), 4),
+      static_cast<T>(0.11837210107094921875e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.25)),
+      static_cast<T>(0.2734375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(0.75)),
+      static_cast<T>(0.13703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.24150836944580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(6.5)),
+      static_cast<T>(0.3428125e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4c, static_cast<T>(10247.25)),
+      static_cast<T>(0.11837210107094921875e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(0.25)),
+      static_cast<T>(0.2734375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(0.75)),
+      static_cast<T>(0.13703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.24150836944580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(6.5)),
+      static_cast<T>(0.3428125e4L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n4a, static_cast<T>(10247.25)),
+      static_cast<T>(0.11837210107094921875e14L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1064739227294921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.1287841796875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.8055419921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.23334727106775972060859203338623046875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(6.5f), 4),
+      static_cast<T>(0.845843359375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(10247.25f), 4),
+      static_cast<T>(0.12736106409103529349764202508544921875e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1064739227294921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.25)),
+      static_cast<T>(0.1287841796875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(0.75)),
+      static_cast<T>(0.8055419921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23334727106775972060859203338623046875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(6.5f)),
+      static_cast<T>(0.845843359375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12736106409103529349764202508544921875e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1064739227294921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(0.25)),
+      static_cast<T>(0.1287841796875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(0.75)),
+      static_cast<T>(0.8055419921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23334727106775972060859203338623046875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(6.5f)),
+      static_cast<T>(0.845843359375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n4a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12736106409103529349764202508544921875e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1517913818359375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.21513671875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.104072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.23689246584661304950714111328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(6.5f), 4),
+      static_cast<T>(0.13013059375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(10247.25f), 4),
+      static_cast<T>(0.12428804224649080826343115234375e22L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1517913818359375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.25)),
+      static_cast<T>(0.21513671875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(0.75)),
+      static_cast<T>(0.104072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23689246584661304950714111328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(6.5f)),
+      static_cast<T>(0.13013059375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12428804224649080826343115234375e22L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1517913818359375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(0.25)),
+      static_cast<T>(0.21513671875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(0.75)),
+      static_cast<T>(0.104072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.23689246584661304950714111328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(6.5f)),
+      static_cast<T>(0.13013059375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n4a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.12428804224649080826343115234375e22L),
+      tolerance);
+
+   //
+   // Rational functions of order 3
+   //
+   static const U d4c[4] = { 10, 2, 5, 4 };
+   static const boost::array<U, 4> d4a = {{ 10, 2, 5, 4 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.125), 4),
+      static_cast<T>(0.1608087679516250944822373393801965230537e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.25), 4),
+      static_cast<T>(0.2514367816091954022988505747126436781609e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.75), 4),
+      static_cast<T>(0.8564453125e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(1.0f - 1.0f/64.0f), 4),
+      static_cast<T>(0.1170714951947222939292918160495461743806e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(6.5f), 4),
+      static_cast<T>(0.2572219095854436315888201087975989495404e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(10247.25f), 4),
+      static_cast<T>(0.2749884125808399380227005558292823797886e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.125)),
+      static_cast<T>(0.1608087679516250944822373393801965230537e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.25)),
+      static_cast<T>(0.2514367816091954022988505747126436781609e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(0.75)),
+      static_cast<T>(0.8564453125e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1170714951947222939292918160495461743806e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2572219095854436315888201087975989495404e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4c, d4c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2749884125808399380227005558292823797886e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(0.125)),
+      static_cast<T>(0.1608087679516250944822373393801965230537e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(0.25)),
+      static_cast<T>(0.2514367816091954022988505747126436781609e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(0.75)),
+      static_cast<T>(0.8564453125e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1170714951947222939292918160495461743806e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2572219095854436315888201087975989495404e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n4a, d4a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2749884125808399380227005558292823797886e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots4(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 4
+   //
+   static const U n5c[5] = { 10, 10, 4, 11, 9 };
+   static const boost::array<U, 5> n5a = {{ 10, 10, 4, 11, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.11336181640625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.1295703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.2723828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.42662663042545318603515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(6.5), 5),
+      static_cast<T>(0.193304375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(10247.25), 5),
+      static_cast<T>(0.9924842756673782995703125e17L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.125)),
+      static_cast<T>(0.11336181640625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.25)),
+      static_cast<T>(0.1295703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(0.75)),
+      static_cast<T>(0.2723828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.42662663042545318603515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(6.5)),
+      static_cast<T>(0.193304375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5c, static_cast<T>(10247.25)),
+      static_cast<T>(0.9924842756673782995703125e17L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(0.125)),
+      static_cast<T>(0.11336181640625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(0.25)),
+      static_cast<T>(0.1295703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(0.75)),
+      static_cast<T>(0.2723828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.42662663042545318603515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(6.5)),
+      static_cast<T>(0.193304375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n5a, static_cast<T>(10247.25)),
+      static_cast<T>(0.9924842756673782995703125e17L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.10157269060611724853515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.106434478759765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.197494049072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.4138858164296656028113829961512237787247e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(6.5f), 5),
+      static_cast<T>(0.2951521370703125e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(10247.25f), 5),
+      static_cast<T>(0.1094211231602999407223950000397888253311e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.125)),
+      static_cast<T>(0.10157269060611724853515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.25)),
+      static_cast<T>(0.106434478759765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(0.75)),
+      static_cast<T>(0.197494049072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4138858164296656028113829961512237787247e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2951521370703125e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1094211231602999407223950000397888253311e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(0.125)),
+      static_cast<T>(0.10157269060611724853515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(0.25)),
+      static_cast<T>(0.106434478759765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(0.75)),
+      static_cast<T>(0.197494049072265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4138858164296656028113829961512237787247e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2951521370703125e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n5a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1094211231602999407223950000397888253311e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.11258152484893798828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.1257379150390625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.2299920654296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.4188681309761682314274366945028305053711e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(6.5f), 5),
+      static_cast<T>(0.45408105703125e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(10247.25f), 5),
+      static_cast<T>(0.106780963829612765105169679718983215332e30L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.125)),
+      static_cast<T>(0.11258152484893798828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.25)),
+      static_cast<T>(0.1257379150390625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(0.75)),
+      static_cast<T>(0.2299920654296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4188681309761682314274366945028305053711e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(6.5f)),
+      static_cast<T>(0.45408105703125e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.106780963829612765105169679718983215332e30L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(0.125)),
+      static_cast<T>(0.11258152484893798828125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(0.25)),
+      static_cast<T>(0.1257379150390625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(0.75)),
+      static_cast<T>(0.2299920654296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4188681309761682314274366945028305053711e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(6.5f)),
+      static_cast<T>(0.45408105703125e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n5a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.106780963829612765105169679718983215332e30L),
+      tolerance);
+
+   //
+   // Rational functions of order 4
+   //
+   static const U d5c[5] = { 6, 9, 6, 2, 5 };
+   static const boost::array<U, 5> d5a = {{ 6, 9, 6, 2, 5 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.125), 5),
+      static_cast<T>(0.1569265605461489066882963263374902835513e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.25), 5),
+      static_cast<T>(0.1493471409275101305718144979738856371004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.75), 5),
+      static_cast<T>(0.1468309117708991366603495472731101284481e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(1.0f - 1.0f/64.0f), 5),
+      static_cast<T>(0.1564121691159921277310988862398683772017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(6.5f), 5),
+      static_cast<T>(0.1973991741181125982091000185089449263153e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(10247.25f), 5),
+      static_cast<T>(0.1800144410401676792233921448870747965702e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.125)),
+      static_cast<T>(0.1569265605461489066882963263374902835513e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.25)),
+      static_cast<T>(0.1493471409275101305718144979738856371004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(0.75)),
+      static_cast<T>(0.1468309117708991366603495472731101284481e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1564121691159921277310988862398683772017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1973991741181125982091000185089449263153e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5c, d5c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1800144410401676792233921448870747965702e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(0.125)),
+      static_cast<T>(0.1569265605461489066882963263374902835513e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(0.25)),
+      static_cast<T>(0.1493471409275101305718144979738856371004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(0.75)),
+      static_cast<T>(0.1468309117708991366603495472731101284481e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1564121691159921277310988862398683772017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1973991741181125982091000185089449263153e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n5a, d5a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1800144410401676792233921448870747965702e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots5(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 5
+   //
+   static const U n6c[6] = { 6, 8, 12, 5, 7, 5 };
+   static const boost::array<U, 6> n6a = {{ 6, 8, 12, 5, 7, 5 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.7199127197265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.88603515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.242607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.41466238017193973064422607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(6.5), 6),
+      static_cast<T>(0.7244809375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(10247.25), 6),
+      static_cast<T>(0.5650228315695522094919501953125e21L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.125)),
+      static_cast<T>(0.7199127197265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.25)),
+      static_cast<T>(0.88603515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(0.75)),
+      static_cast<T>(0.242607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.41466238017193973064422607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(6.5)),
+      static_cast<T>(0.7244809375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6c, static_cast<T>(10247.25)),
+      static_cast<T>(0.5650228315695522094919501953125e21L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(0.125)),
+      static_cast<T>(0.7199127197265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(0.25)),
+      static_cast<T>(0.88603515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(0.75)),
+      static_cast<T>(0.242607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.41466238017193973064422607421875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(6.5)),
+      static_cast<T>(0.7244809375e5L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n6a, static_cast<T>(10247.25)),
+      static_cast<T>(0.5650228315695522094919501953125e21L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.6127949182875454425811767578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.654820728302001953125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.1616912555694580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.4001137167344577683526091194110563264985e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(6.5f), 6),
+      static_cast<T>(0.6958411633369140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.125)),
+      static_cast<T>(0.6127949182875454425811767578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.25)),
+      static_cast<T>(0.654820728302001953125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(0.75)),
+      static_cast<T>(0.1616912555694580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4001137167344577683526091194110563264985e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6958411633369140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(0.125)),
+      static_cast<T>(0.6127949182875454425811767578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(0.25)),
+      static_cast<T>(0.654820728302001953125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(0.75)),
+      static_cast<T>(0.1616912555694580078125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4001137167344577683526091194110563264985e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n6a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6958411633369140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.7023593463003635406494140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.8192829132080078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.19558834075927734375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.4055123471588142408661425974969461094588e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(6.5f), 6),
+      static_cast<T>(0.107052491744140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(10247.25f), 6),
+      static_cast<T>(0.6229253367792843599034768117351560896265e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.125)),
+      static_cast<T>(0.7023593463003635406494140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.25)),
+      static_cast<T>(0.8192829132080078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(0.75)),
+      static_cast<T>(0.19558834075927734375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4055123471588142408661425974969461094588e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(6.5f)),
+      static_cast<T>(0.107052491744140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6229253367792843599034768117351560896265e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(0.125)),
+      static_cast<T>(0.7023593463003635406494140625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(0.25)),
+      static_cast<T>(0.8192829132080078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(0.75)),
+      static_cast<T>(0.19558834075927734375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4055123471588142408661425974969461094588e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(6.5f)),
+      static_cast<T>(0.107052491744140625e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n6a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6229253367792843599034768117351560896265e37L),
+      tolerance);
+
+   //
+   // Rational functions of order 5
+   //
+   static const U d6c[6] = { 5, 11, 7, 12, 10, 5 };
+   static const boost::array<U, 6> d6a = {{ 5, 11, 7, 12, 10, 5 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.125), 6),
+      static_cast<T>(0.1105787665293227020667219792530925829572e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.25), 6),
+      static_cast<T>(0.1052430112515949425820670455863588910799e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.75), 6),
+      static_cast<T>(0.9120378868534087154447666948125848966555e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(1.0f - 1.0f/64.0f), 6),
+      static_cast<T>(0.8626539746676637108178973543021882567334e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(6.5f), 6),
+      static_cast<T>(0.9109197333022141385660730837432462113756e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(10247.25f), 6),
+      static_cast<T>(0.9999414458034701919327379302959430043671e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.125)),
+      static_cast<T>(0.1105787665293227020667219792530925829572e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.25)),
+      static_cast<T>(0.1052430112515949425820670455863588910799e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(0.75)),
+      static_cast<T>(0.9120378868534087154447666948125848966555e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8626539746676637108178973543021882567334e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(6.5f)),
+      static_cast<T>(0.9109197333022141385660730837432462113756e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6c, d6c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999414458034701919327379302959430043671e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(0.125)),
+      static_cast<T>(0.1105787665293227020667219792530925829572e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(0.25)),
+      static_cast<T>(0.1052430112515949425820670455863588910799e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(0.75)),
+      static_cast<T>(0.9120378868534087154447666948125848966555e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8626539746676637108178973543021882567334e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(6.5f)),
+      static_cast<T>(0.9109197333022141385660730837432462113756e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n6a, d6a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999414458034701919327379302959430043671e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots6(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 6
+   //
+   static const U n7c[7] = { 3, 4, 11, 5, 10, 7, 9 };
+   static const boost::array<U, 7> n7a = {{ 3, 4, 11, 5, 10, 7, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.3684329986572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.4813720703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.20723876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.46413680258337990380823612213134765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(6.5), 7),
+      static_cast<T>(0.779707859375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(10247.25), 7),
+      static_cast<T>(0.10421241651331160693970241510986328125e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.125)),
+      static_cast<T>(0.3684329986572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.25)),
+      static_cast<T>(0.4813720703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(0.75)),
+      static_cast<T>(0.20723876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.46413680258337990380823612213134765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(6.5)),
+      static_cast<T>(0.779707859375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7c, static_cast<T>(10247.25)),
+      static_cast<T>(0.10421241651331160693970241510986328125e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(0.125)),
+      static_cast<T>(0.3684329986572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(0.25)),
+      static_cast<T>(0.4813720703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(0.75)),
+      static_cast<T>(0.20723876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.46413680258337990380823612213134765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(6.5)),
+      static_cast<T>(0.779707859375e6L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n7a, static_cast<T>(10247.25)),
+      static_cast<T>(0.10421241651331160693970241510986328125e26L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.3065205223058001138269901275634765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.3294349253177642822265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.11300772249698638916015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.4400013192129567626077980251194602528964e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(6.5f), 7),
+      static_cast<T>(0.52166734985505126953125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.125)),
+      static_cast<T>(0.3065205223058001138269901275634765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.25)),
+      static_cast<T>(0.3294349253177642822265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(0.75)),
+      static_cast<T>(0.11300772249698638916015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4400013192129567626077980251194602528964e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7c, static_cast<T>(6.5f)),
+      static_cast<T>(0.52166734985505126953125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(0.125)),
+      static_cast<T>(0.3065205223058001138269901275634765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(0.25)),
+      static_cast<T>(0.3294349253177642822265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(0.75)),
+      static_cast<T>(0.11300772249698638916015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4400013192129567626077980251194602528964e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n7a, static_cast<T>(6.5f)),
+      static_cast<T>(0.52166734985505126953125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.3521641784464009106159210205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.41773970127105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.140676963329315185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.4465092766607814731253821207562770823074e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(6.5f), 7),
+      static_cast<T>(0.802565153877001953125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.125)),
+      static_cast<T>(0.3521641784464009106159210205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.25)),
+      static_cast<T>(0.41773970127105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(0.75)),
+      static_cast<T>(0.140676963329315185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4465092766607814731253821207562770823074e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7c, static_cast<T>(6.5f)),
+      static_cast<T>(0.802565153877001953125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(0.125)),
+      static_cast<T>(0.3521641784464009106159210205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(0.25)),
+      static_cast<T>(0.41773970127105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(0.75)),
+      static_cast<T>(0.140676963329315185546875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4465092766607814731253821207562770823074e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n7a, static_cast<T>(6.5f)),
+      static_cast<T>(0.802565153877001953125e10L),
+      tolerance);
+   //
+   // Rational functions of order 6
+   //
+   static const U d7c[7] = { 2, 8, 10, 8, 1, 11, 1 };
+   static const boost::array<U, 7> d7a = {{ 2, 8, 10, 8, 1, 11, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.125), 7),
+      static_cast<T>(0.1161348466465698540596242849979738853664e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.25), 7),
+      static_cast<T>(0.1010247476558897371522262642824204539632e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.75), 7),
+      static_cast<T>(0.103079575951134804308491906398377636644e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(1.0f - 1.0f/64.0f), 7),
+      static_cast<T>(0.1183671559390403425417413542214181025989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(6.5f), 7),
+      static_cast<T>(0.3757457624476840396478985178609736319955e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(10247.25f), 7),
+      static_cast<T>(0.8991031618241406513349732955332873069556e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.125)),
+      static_cast<T>(0.1161348466465698540596242849979738853664e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.25)),
+      static_cast<T>(0.1010247476558897371522262642824204539632e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(0.75)),
+      static_cast<T>(0.103079575951134804308491906398377636644e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1183671559390403425417413542214181025989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3757457624476840396478985178609736319955e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7c, d7c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8991031618241406513349732955332873069556e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(0.125)),
+      static_cast<T>(0.1161348466465698540596242849979738853664e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(0.25)),
+      static_cast<T>(0.1010247476558897371522262642824204539632e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(0.75)),
+      static_cast<T>(0.103079575951134804308491906398377636644e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1183671559390403425417413542214181025989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3757457624476840396478985178609736319955e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n7a, d7a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8991031618241406513349732955332873069556e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots7(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 7
+   //
+   static const U n8c[8] = { 9, 5, 6, 1, 12, 2, 11, 1 };
+   static const boost::array<U, 8> n8a = {{ 9, 5, 6, 1, 12, 2, 11, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.9723736286163330078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.1069219970703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.2290960693359375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.4470947054706607559637632220983505249023e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(6.5), 8),
+      static_cast<T>(0.13650267734375e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(10247.25), 8),
+      static_cast<T>(0.1187728773094625678513681460864459228516e29L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.125)),
+      static_cast<T>(0.9723736286163330078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.25)),
+      static_cast<T>(0.1069219970703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(0.75)),
+      static_cast<T>(0.2290960693359375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4470947054706607559637632220983505249023e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(6.5)),
+      static_cast<T>(0.13650267734375e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8c, static_cast<T>(10247.25)),
+      static_cast<T>(0.1187728773094625678513681460864459228516e29L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(0.125)),
+      static_cast<T>(0.9723736286163330078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(0.25)),
+      static_cast<T>(0.1069219970703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(0.75)),
+      static_cast<T>(0.2290960693359375e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4470947054706607559637632220983505249023e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(6.5)),
+      static_cast<T>(0.13650267734375e7L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n8a, static_cast<T>(10247.25)),
+      static_cast<T>(0.1187728773094625678513681460864459228516e29L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.9079594375725946520105935633182525634766e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.93363673128187656402587890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.155691558457911014556884765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.4258457138999176910226338119632657870077e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(6.5f), 8),
+      static_cast<T>(0.30319406120433428955078125e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.125)),
+      static_cast<T>(0.9079594375725946520105935633182525634766e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.25)),
+      static_cast<T>(0.93363673128187656402587890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(0.75)),
+      static_cast<T>(0.155691558457911014556884765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4258457138999176910226338119632657870077e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8c, static_cast<T>(6.5f)),
+      static_cast<T>(0.30319406120433428955078125e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(0.125)),
+      static_cast<T>(0.9079594375725946520105935633182525634766e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(0.25)),
+      static_cast<T>(0.93363673128187656402587890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(0.75)),
+      static_cast<T>(0.155691558457911014556884765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4258457138999176910226338119632657870077e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n8a, static_cast<T>(6.5f)),
+      static_cast<T>(0.30319406120433428955078125e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.9636755005807572160847485065460205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.1034546925127506256103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.1775887446105480194091796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.4311765982475354321499772058039525455316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(6.5f), 8),
+      static_cast<T>(0.466452401928975830078125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.125)),
+      static_cast<T>(0.9636755005807572160847485065460205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.25)),
+      static_cast<T>(0.1034546925127506256103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(0.75)),
+      static_cast<T>(0.1775887446105480194091796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4311765982475354321499772058039525455316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8c, static_cast<T>(6.5f)),
+      static_cast<T>(0.466452401928975830078125e11L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(0.125)),
+      static_cast<T>(0.9636755005807572160847485065460205078125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(0.25)),
+      static_cast<T>(0.1034546925127506256103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(0.75)),
+      static_cast<T>(0.1775887446105480194091796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4311765982475354321499772058039525455316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n8a, static_cast<T>(6.5f)),
+      static_cast<T>(0.466452401928975830078125e11L),
+      tolerance);
+   //
+   // Rational functions of order 7
+   //
+   static const U d8c[8] = { 7, 10, 10, 11, 2, 4, 1, 7 };
+   static const boost::array<U, 8> d8a = {{ 7, 10, 10, 11, 2, 4, 1, 7 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.125), 8),
+      static_cast<T>(0.1153693678861771369296601206130394355814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.25), 8),
+      static_cast<T>(0.103714470093009762768860970830101771981e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.75), 8),
+      static_cast<T>(0.834289461108456229648481346061946410909e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(1.0f - 1.0f/64.0f), 8),
+      static_cast<T>(0.8981362736388035283180082845549732926578e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(6.5f), 8),
+      static_cast<T>(0.383383275200627223098571833372266642165e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(10247.25f), 8),
+      static_cast<T>(0.1430085023641929377426860779365964126311e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.125)),
+      static_cast<T>(0.1153693678861771369296601206130394355814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.25)),
+      static_cast<T>(0.103714470093009762768860970830101771981e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(0.75)),
+      static_cast<T>(0.834289461108456229648481346061946410909e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8981362736388035283180082845549732926578e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(6.5f)),
+      static_cast<T>(0.383383275200627223098571833372266642165e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8c, d8c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1430085023641929377426860779365964126311e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(0.125)),
+      static_cast<T>(0.1153693678861771369296601206130394355814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(0.25)),
+      static_cast<T>(0.103714470093009762768860970830101771981e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(0.75)),
+      static_cast<T>(0.834289461108456229648481346061946410909e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8981362736388035283180082845549732926578e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(6.5f)),
+      static_cast<T>(0.383383275200627223098571833372266642165e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n8a, d8a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1430085023641929377426860779365964126311e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots8(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 8
+   //
+   static const U n9c[9] = { 3, 9, 3, 9, 5, 6, 10, 7, 10 };
+   static const boost::array<U, 9> n9a = {{ 3, 9, 3, 9, 5, 6, 10, 7, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.419089901447296142578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.5606536865234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.21955535888671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.577754343750660055434309470001608133316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(6.5), 9),
+      static_cast<T>(0.3613143234375e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(10247.25), 9),
+      static_cast<T>(0.1215873306624182859977656082228297326996e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.125)),
+      static_cast<T>(0.419089901447296142578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.25)),
+      static_cast<T>(0.5606536865234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(0.75)),
+      static_cast<T>(0.21955535888671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.577754343750660055434309470001608133316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(6.5)),
+      static_cast<T>(0.3613143234375e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9c, static_cast<T>(10247.25)),
+      static_cast<T>(0.1215873306624182859977656082228297326996e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(0.125)),
+      static_cast<T>(0.419089901447296142578125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(0.25)),
+      static_cast<T>(0.5606536865234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(0.75)),
+      static_cast<T>(0.21955535888671875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.577754343750660055434309470001608133316e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(6.5)),
+      static_cast<T>(0.3613143234375e8L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n9a, static_cast<T>(10247.25)),
+      static_cast<T>(0.1215873306624182859977656082228297326996e34L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.3141392057908696244794555241242051124573e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.35764986560679972171783447265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.119936861679889261722564697265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.5392583642412261279423815221065846904997e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(6.5f), 9),
+      static_cast<T>(0.103274449934495763275146484375e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.125)),
+      static_cast<T>(0.3141392057908696244794555241242051124573e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.25)),
+      static_cast<T>(0.35764986560679972171783447265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(0.75)),
+      static_cast<T>(0.119936861679889261722564697265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5392583642412261279423815221065846904997e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9c, static_cast<T>(6.5f)),
+      static_cast<T>(0.103274449934495763275146484375e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(0.125)),
+      static_cast<T>(0.3141392057908696244794555241242051124573e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(0.25)),
+      static_cast<T>(0.35764986560679972171783447265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(0.75)),
+      static_cast<T>(0.119936861679889261722564697265625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5392583642412261279423815221065846904997e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n9a, static_cast<T>(6.5f)),
+      static_cast<T>(0.103274449934495763275146484375e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.4131136463269569958356441929936408996582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.530599462427198886871337890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.1499158155731856822967529296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.5473418303402932093382923399178003205076e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(6.5f), 9),
+      static_cast<T>(0.1588837691300188665771484375e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.125)),
+      static_cast<T>(0.4131136463269569958356441929936408996582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.25)),
+      static_cast<T>(0.530599462427198886871337890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(0.75)),
+      static_cast<T>(0.1499158155731856822967529296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5473418303402932093382923399178003205076e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1588837691300188665771484375e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(0.125)),
+      static_cast<T>(0.4131136463269569958356441929936408996582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(0.25)),
+      static_cast<T>(0.530599462427198886871337890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(0.75)),
+      static_cast<T>(0.1499158155731856822967529296875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5473418303402932093382923399178003205076e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n9a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1588837691300188665771484375e14L),
+      tolerance);
+   //
+   // Rational functions of order 8
+   //
+   static const U d9c[9] = { 12, 3, 10, 4, 6, 6, 6, 10, 7 };
+   static const boost::array<U, 9> d9a = {{ 12, 3, 10, 4, 6, 6, 6, 10, 7 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.125), 9),
+      static_cast<T>(0.3341827920887278954826517708316980450243e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.25), 9),
+      static_cast<T>(0.4162555242250224594229316089330159747956e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.75), 9),
+      static_cast<T>(0.7844550246723573100342976024389406178802e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(1.0f - 1.0f/64.0f), 9),
+      static_cast<T>(0.959335028097323235424759017468360386113e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(6.5f), 9),
+      static_cast<T>(0.1302420407483849169746727326286868117535e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(10247.25f), 9),
+      static_cast<T>(0.1428469874366314841691622991213446692856e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.125)),
+      static_cast<T>(0.3341827920887278954826517708316980450243e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.25)),
+      static_cast<T>(0.4162555242250224594229316089330159747956e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(0.75)),
+      static_cast<T>(0.7844550246723573100342976024389406178802e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.959335028097323235424759017468360386113e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1302420407483849169746727326286868117535e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9c, d9c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1428469874366314841691622991213446692856e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(0.125)),
+      static_cast<T>(0.3341827920887278954826517708316980450243e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(0.25)),
+      static_cast<T>(0.4162555242250224594229316089330159747956e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(0.75)),
+      static_cast<T>(0.7844550246723573100342976024389406178802e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.959335028097323235424759017468360386113e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1302420407483849169746727326286868117535e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n9a, d9a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1428469874366314841691622991213446692856e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots9(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 9
+   //
+   static const U n10c[10] = { 3, 4, 2, 6, 8, 1, 2, 4, 8, 8 };
+   static const boost::array<U, 10> n10a = {{ 3, 4, 2, 6, 8, 1, 2, 4, 8, 8 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.3544962465763092041015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.4251861572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.14716278076171875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.4243246072286939307716124858416151255369e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(6.5), 10),
+      static_cast<T>(0.193326261328125e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(10247.25), 10),
+      static_cast<T>(0.9967777935240642903307419028007759631098e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.125)),
+      static_cast<T>(0.3544962465763092041015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.25)),
+      static_cast<T>(0.4251861572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(0.75)),
+      static_cast<T>(0.14716278076171875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4243246072286939307716124858416151255369e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(6.5)),
+      static_cast<T>(0.193326261328125e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10c, static_cast<T>(10247.25)),
+      static_cast<T>(0.9967777935240642903307419028007759631098e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(0.125)),
+      static_cast<T>(0.3544962465763092041015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(0.25)),
+      static_cast<T>(0.4251861572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(0.75)),
+      static_cast<T>(0.14716278076171875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.4243246072286939307716124858416151255369e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(6.5)),
+      static_cast<T>(0.193326261328125e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n10a, static_cast<T>(10247.25)),
+      static_cast<T>(0.9967777935240642903307419028007759631098e37L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.3063011647232116718697625401546247303486e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.3259400503826327621936798095703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.8067807371844537556171417236328125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.3922779295817342542834377568121069117613e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(6.5f), 10),
+      static_cast<T>(0.3514067090785774022613525390625e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.125)),
+      static_cast<T>(0.3063011647232116718697625401546247303486e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.25)),
+      static_cast<T>(0.3259400503826327621936798095703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(0.75)),
+      static_cast<T>(0.8067807371844537556171417236328125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3922779295817342542834377568121069117613e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3514067090785774022613525390625e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(0.125)),
+      static_cast<T>(0.3063011647232116718697625401546247303486e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(0.25)),
+      static_cast<T>(0.3259400503826327621936798095703125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(0.75)),
+      static_cast<T>(0.8067807371844537556171417236328125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3922779295817342542834377568121069117613e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n10a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3514067090785774022613525390625e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.3504093177856933749581003212369978427887e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.40376020153053104877471923828125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.97570764957927167415618896484375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.3980283729084284487958732767615054341702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(6.5f), 10),
+      static_cast<T>(0.54062570627473700347900390625e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.125)),
+      static_cast<T>(0.3504093177856933749581003212369978427887e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.25)),
+      static_cast<T>(0.40376020153053104877471923828125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(0.75)),
+      static_cast<T>(0.97570764957927167415618896484375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3980283729084284487958732767615054341702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10c, static_cast<T>(6.5f)),
+      static_cast<T>(0.54062570627473700347900390625e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(0.125)),
+      static_cast<T>(0.3504093177856933749581003212369978427887e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(0.25)),
+      static_cast<T>(0.40376020153053104877471923828125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(0.75)),
+      static_cast<T>(0.97570764957927167415618896484375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.3980283729084284487958732767615054341702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n10a, static_cast<T>(6.5f)),
+      static_cast<T>(0.54062570627473700347900390625e15L),
+      tolerance);
+   //
+   // Rational functions of order 9
+   //
+   static const U d10c[10] = { 3, 11, 1, 12, 8, 8, 7, 10, 8, 8 };
+   static const boost::array<U, 10> d10a = {{ 3, 11, 1, 12, 8, 8, 7, 10, 8, 8 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.125), 10),
+      static_cast<T>(0.8027011456035955638016996485812217742707e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.25), 10),
+      static_cast<T>(0.7037718026559713894599659542655668311705e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.75), 10),
+      static_cast<T>(0.5819711007563332500606442409694389231031e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(1.0f - 1.0f/64.0f), 10),
+      static_cast<T>(0.6021345078884753739086911192013079405483e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(6.5f), 10),
+      static_cast<T>(0.9827105949744728065574239430024037810213e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(10247.25f), 10),
+      static_cast<T>(0.9999999928576761766405011572543053028339e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.125)),
+      static_cast<T>(0.8027011456035955638016996485812217742707e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.25)),
+      static_cast<T>(0.7037718026559713894599659542655668311705e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(0.75)),
+      static_cast<T>(0.5819711007563332500606442409694389231031e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6021345078884753739086911192013079405483e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(6.5f)),
+      static_cast<T>(0.9827105949744728065574239430024037810213e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10c, d10c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999999928576761766405011572543053028339e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(0.125)),
+      static_cast<T>(0.8027011456035955638016996485812217742707e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(0.25)),
+      static_cast<T>(0.7037718026559713894599659542655668311705e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(0.75)),
+      static_cast<T>(0.5819711007563332500606442409694389231031e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6021345078884753739086911192013079405483e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(6.5f)),
+      static_cast<T>(0.9827105949744728065574239430024037810213e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n10a, d10a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.9999999928576761766405011572543053028339e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots10(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 10
+   //
+   static const U n11c[11] = { 2, 2, 8, 11, 3, 4, 10, 11, 5, 1, 6 };
+   static const boost::array<U, 11> n11a = {{ 2, 2, 8, 11, 3, 4, 10, 11, 5, 1, 6 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.239738257043063640594482421875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.31906986236572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.187007007598876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.5807897685780276847943015550157497273176e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(6.5), 11),
+      static_cast<T>(0.85061053443359375e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.125)),
+      static_cast<T>(0.239738257043063640594482421875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.25)),
+      static_cast<T>(0.31906986236572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(0.75)),
+      static_cast<T>(0.187007007598876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5807897685780276847943015550157497273176e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11c, static_cast<T>(6.5)),
+      static_cast<T>(0.85061053443359375e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(0.125)),
+      static_cast<T>(0.239738257043063640594482421875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(0.25)),
+      static_cast<T>(0.31906986236572265625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(0.75)),
+      static_cast<T>(0.187007007598876953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5807897685780276847943015550157497273176e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n11a, static_cast<T>(6.5)),
+      static_cast<T>(0.85061053443359375e9L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.2033245269357184586631048794913567689946e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.2158985776148256263695657253265380859375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.8727145384755203849636018276214599609375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.5363972553738812062759598952966094072427e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(6.5f), 11),
+      static_cast<T>(0.1092297265410211371166019439697265625e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.125)),
+      static_cast<T>(0.2033245269357184586631048794913567689946e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.25)),
+      static_cast<T>(0.2158985776148256263695657253265380859375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(0.75)),
+      static_cast<T>(0.8727145384755203849636018276214599609375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5363972553738812062759598952966094072427e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1092297265410211371166019439697265625e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(0.125)),
+      static_cast<T>(0.2033245269357184586631048794913567689946e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(0.25)),
+      static_cast<T>(0.2158985776148256263695657253265380859375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(0.75)),
+      static_cast<T>(0.8727145384755203849636018276214599609375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.5363972553738812062759598952966094072427e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n11a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1092297265410211371166019439697265625e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.2265962154857476693048390359308541519567e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.26359431045930250547826290130615234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.109695271796736051328480243682861328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.544594037205212653994625925380682572437e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(6.5f), 11),
+      static_cast<T>(0.16804573314003253556400299072265625e17L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.125)),
+      static_cast<T>(0.2265962154857476693048390359308541519567e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.25)),
+      static_cast<T>(0.26359431045930250547826290130615234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(0.75)),
+      static_cast<T>(0.109695271796736051328480243682861328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.544594037205212653994625925380682572437e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11c, static_cast<T>(6.5f)),
+      static_cast<T>(0.16804573314003253556400299072265625e17L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(0.125)),
+      static_cast<T>(0.2265962154857476693048390359308541519567e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(0.25)),
+      static_cast<T>(0.26359431045930250547826290130615234375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(0.75)),
+      static_cast<T>(0.109695271796736051328480243682861328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.544594037205212653994625925380682572437e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n11a, static_cast<T>(6.5f)),
+      static_cast<T>(0.16804573314003253556400299072265625e17L),
+      tolerance);
+   //
+   // Rational functions of order 10
+   //
+   static const U d11c[11] = { 4, 1, 3, 9, 11, 8, 11, 2, 6, 6, 4 };
+   static const boost::array<U, 11> d11a = {{ 4, 1, 3, 9, 11, 8, 11, 2, 6, 6, 4 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.125), 11),
+      static_cast<T>(0.5718365676248588095654568811483084403598e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.25), 11),
+      static_cast<T>(0.6888631839546304707516922567568791812269e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.75), 11),
+      static_cast<T>(0.9783539912974912482969079012097816310129e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(1.0f - 1.0f/64.0f), 11),
+      static_cast<T>(0.9694017102874332007392886881642471036972e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(6.5f), 11),
+      static_cast<T>(0.1243900864392932237542421996384079347041e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(10247.25f), 11),
+      static_cast<T>(0.1499804844733304585200728061706913399511e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.125)),
+      static_cast<T>(0.5718365676248588095654568811483084403598e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.25)),
+      static_cast<T>(0.6888631839546304707516922567568791812269e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(0.75)),
+      static_cast<T>(0.9783539912974912482969079012097816310129e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9694017102874332007392886881642471036972e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1243900864392932237542421996384079347041e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11c, d11c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1499804844733304585200728061706913399511e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(0.125)),
+      static_cast<T>(0.5718365676248588095654568811483084403598e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(0.25)),
+      static_cast<T>(0.6888631839546304707516922567568791812269e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(0.75)),
+      static_cast<T>(0.9783539912974912482969079012097816310129e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9694017102874332007392886881642471036972e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1243900864392932237542421996384079347041e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n11a, d11a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1499804844733304585200728061706913399511e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots11(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 11
+   //
+   static const U n12c[12] = { 10, 12, 4, 1, 12, 7, 11, 5, 12, 5, 10, 6 };
+   static const boost::array<U, 12> n12a = {{ 10, 12, 4, 1, 12, 7, 11, 5, 12, 5, 10, 6 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.1156764154392294585704803466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.13322539806365966796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.32148390293121337890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.8737331822870016474402916385744166660743e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(6.5), 12),
+      static_cast<T>(0.67419250750654296875e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.125)),
+      static_cast<T>(0.1156764154392294585704803466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.25)),
+      static_cast<T>(0.13322539806365966796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(0.75)),
+      static_cast<T>(0.32148390293121337890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8737331822870016474402916385744166660743e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12c, static_cast<T>(6.5)),
+      static_cast<T>(0.67419250750654296875e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(0.125)),
+      static_cast<T>(0.1156764154392294585704803466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(0.25)),
+      static_cast<T>(0.13322539806365966796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(0.75)),
+      static_cast<T>(0.32148390293121337890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8737331822870016474402916385744166660743e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n12a, static_cast<T>(6.5)),
+      static_cast<T>(0.67419250750654296875e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.101884810991335118067599354446661763518e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.1076605959896767217287560924887657165527e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.2041755737073560794669901952147483825684e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.8060387357327405373376954971672611741429e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(6.5f), 12),
+      static_cast<T>(0.4778085851102157284559772014617919921875e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.125)),
+      static_cast<T>(0.101884810991335118067599354446661763518e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.25)),
+      static_cast<T>(0.1076605959896767217287560924887657165527e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(0.75)),
+      static_cast<T>(0.2041755737073560794669901952147483825684e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8060387357327405373376954971672611741429e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4778085851102157284559772014617919921875e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(0.125)),
+      static_cast<T>(0.101884810991335118067599354446661763518e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(0.25)),
+      static_cast<T>(0.1076605959896767217287560924887657165527e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(0.75)),
+      static_cast<T>(0.2041755737073560794669901952147483825684e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8060387357327405373376954971672611741429e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n12a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4778085851102157284559772014617919921875e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.1150784879306809445407948355732941081442e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.1306423839587068869150243699550628662109e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.2389007649431414392893202602863311767578e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.8172456997919903871367065368048367483356e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(6.5f), 12),
+      static_cast<T>(0.73509013093879343685534954071044921875e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.125)),
+      static_cast<T>(0.1150784879306809445407948355732941081442e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.25)),
+      static_cast<T>(0.1306423839587068869150243699550628662109e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(0.75)),
+      static_cast<T>(0.2389007649431414392893202602863311767578e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8172456997919903871367065368048367483356e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12c, static_cast<T>(6.5f)),
+      static_cast<T>(0.73509013093879343685534954071044921875e18L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(0.125)),
+      static_cast<T>(0.1150784879306809445407948355732941081442e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(0.25)),
+      static_cast<T>(0.1306423839587068869150243699550628662109e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(0.75)),
+      static_cast<T>(0.2389007649431414392893202602863311767578e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8172456997919903871367065368048367483356e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n12a, static_cast<T>(6.5f)),
+      static_cast<T>(0.73509013093879343685534954071044921875e18L),
+      tolerance);
+   //
+   // Rational functions of order 11
+   //
+   static const U d12c[12] = { 12, 5, 2, 8, 3, 2, 6, 9, 2, 8, 9, 12 };
+   static const boost::array<U, 12> d12a = {{ 12, 5, 2, 8, 3, 2, 6, 9, 2, 8, 9, 12 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.125), 12),
+      static_cast<T>(0.9128003783370762743953357962892418132189e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.25), 12),
+      static_cast<T>(0.9857041905689267091438933694601440838819e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.75), 12),
+      static_cast<T>(0.1248112763387283893598834927961632655902e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(1.0f - 1.0f/64.0f), 12),
+      static_cast<T>(0.1227813945781309965073515980672922656926e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(6.5f), 12),
+      static_cast<T>(0.5670462630528956417277364302989555872917e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(10247.25f), 12),
+      static_cast<T>(0.5000447249679368028702341332079904080375e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.125)),
+      static_cast<T>(0.9128003783370762743953357962892418132189e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.25)),
+      static_cast<T>(0.9857041905689267091438933694601440838819e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(0.75)),
+      static_cast<T>(0.1248112763387283893598834927961632655902e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1227813945781309965073515980672922656926e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(6.5f)),
+      static_cast<T>(0.5670462630528956417277364302989555872917e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12c, d12c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.5000447249679368028702341332079904080375e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(0.125)),
+      static_cast<T>(0.9128003783370762743953357962892418132189e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(0.25)),
+      static_cast<T>(0.9857041905689267091438933694601440838819e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(0.75)),
+      static_cast<T>(0.1248112763387283893598834927961632655902e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1227813945781309965073515980672922656926e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(6.5f)),
+      static_cast<T>(0.5670462630528956417277364302989555872917e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n12a, d12a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.5000447249679368028702341332079904080375e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots12(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 12
+   //
+   static const U n13c[13] = { 4, 11, 7, 1, 1, 1, 8, 11, 10, 12, 8, 2, 1 };
+   static const boost::array<U, 13> n13a = {{ 4, 11, 7, 1, 1, 1, 8, 11, 10, 12, 8, 2, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.5486639239141368307173252105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.7210838854312896728515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.22524036943912506103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.7013317633407797455061737623412208147977e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(6.5), 13),
+      static_cast<T>(0.8801602436469970703125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.125)),
+      static_cast<T>(0.5486639239141368307173252105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.25)),
+      static_cast<T>(0.7210838854312896728515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(0.75)),
+      static_cast<T>(0.22524036943912506103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7013317633407797455061737623412208147977e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13c, static_cast<T>(6.5)),
+      static_cast<T>(0.8801602436469970703125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(0.125)),
+      static_cast<T>(0.5486639239141368307173252105712890625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(0.25)),
+      static_cast<T>(0.7210838854312896728515625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(0.75)),
+      static_cast<T>(0.22524036943912506103515625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7013317633407797455061737623412208147977e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n13a, static_cast<T>(6.5)),
+      static_cast<T>(0.8801602436469970703125e10L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.4173587859727185607499727379291788731397e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.4715104623414053008900737040676176548004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.1338397611887558369403450342360883951187e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.6407202225497595548875186059951665936749e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(6.5f), 13),
+      static_cast<T>(0.3403521961549553788009664398431777954102e20L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.125)),
+      static_cast<T>(0.4173587859727185607499727379291788731397e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.25)),
+      static_cast<T>(0.4715104623414053008900737040676176548004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(0.75)),
+      static_cast<T>(0.1338397611887558369403450342360883951187e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6407202225497595548875186059951665936749e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3403521961549553788009664398431777954102e20L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(0.125)),
+      static_cast<T>(0.4173587859727185607499727379291788731397e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(0.25)),
+      static_cast<T>(0.4715104623414053008900737040676176548004e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(0.75)),
+      static_cast<T>(0.1338397611887558369403450342360883951187e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6407202225497595548875186059951665936749e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n13a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3403521961549553788009664398431777954102e20L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.5388702877817484859997819034334309851175e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.6860418493656212035602948162704706192017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.165119681585007782587126712314784526825e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.6502554641775335160762093775188993967491e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(6.5f), 13),
+      static_cast<T>(0.5236187633153159677245637536048889160156e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.125)),
+      static_cast<T>(0.5388702877817484859997819034334309851175e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.25)),
+      static_cast<T>(0.6860418493656212035602948162704706192017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(0.75)),
+      static_cast<T>(0.165119681585007782587126712314784526825e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6502554641775335160762093775188993967491e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13c, static_cast<T>(6.5f)),
+      static_cast<T>(0.5236187633153159677245637536048889160156e19L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(0.125)),
+      static_cast<T>(0.5388702877817484859997819034334309851175e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(0.25)),
+      static_cast<T>(0.6860418493656212035602948162704706192017e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(0.75)),
+      static_cast<T>(0.165119681585007782587126712314784526825e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.6502554641775335160762093775188993967491e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n13a, static_cast<T>(6.5f)),
+      static_cast<T>(0.5236187633153159677245637536048889160156e19L),
+      tolerance);
+   //
+   // Rational functions of order 12
+   //
+   static const U d13c[13] = { 4, 7, 1, 6, 11, 4, 9, 11, 1, 10, 1, 11, 12 };
+   static const boost::array<U, 13> d13a = {{ 4, 7, 1, 6, 11, 4, 9, 11, 1, 10, 1, 11, 12 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.125), 13),
+      static_cast<T>(0.1118537310443419140823936840990235560775e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.25), 13),
+      static_cast<T>(0.12106743933208147312270004711488386001e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.75), 13),
+      static_cast<T>(0.1042994706832119738384940706309786965245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(1.0f - 1.0f/64.0f), 13),
+      static_cast<T>(0.8849937505065081554917467830175954168154e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(6.5f), 13),
+      static_cast<T>(0.1125049235146435310211414108934070096386e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(10247.25f), 13),
+      static_cast<T>(0.8334214878002966556152610218152238753709e-1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.125)),
+      static_cast<T>(0.1118537310443419140823936840990235560775e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.25)),
+      static_cast<T>(0.12106743933208147312270004711488386001e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(0.75)),
+      static_cast<T>(0.1042994706832119738384940706309786965245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8849937505065081554917467830175954168154e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1125049235146435310211414108934070096386e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13c, d13c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8334214878002966556152610218152238753709e-1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(0.125)),
+      static_cast<T>(0.1118537310443419140823936840990235560775e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(0.25)),
+      static_cast<T>(0.12106743933208147312270004711488386001e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(0.75)),
+      static_cast<T>(0.1042994706832119738384940706309786965245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8849937505065081554917467830175954168154e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1125049235146435310211414108934070096386e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n13a, d13a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.8334214878002966556152610218152238753709e-1L),
+      tolerance);
+}
+template <class T, class U>
+void do_test_spots13(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 13
+   //
+   static const U n14c[14] = { 5, 5, 3, 5, 12, 8, 10, 5, 5, 9, 2, 10, 3, 3 };
+   static const boost::array<U, 14> n14a = {{ 5, 5, 3, 5, 12, 8, 10, 5, 5, 9, 2, 10, 3, 3 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.5684855352437807596288621425628662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.657317422330379486083984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.2256699807941913604736328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.7710103154409585858207746641830426369713e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(6.5), 14),
+      static_cast<T>(0.1372059025011920166015625e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.125)),
+      static_cast<T>(0.5684855352437807596288621425628662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.25)),
+      static_cast<T>(0.657317422330379486083984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(0.75)),
+      static_cast<T>(0.2256699807941913604736328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7710103154409585858207746641830426369713e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14c, static_cast<T>(6.5)),
+      static_cast<T>(0.1372059025011920166015625e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(0.125)),
+      static_cast<T>(0.5684855352437807596288621425628662109375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(0.25)),
+      static_cast<T>(0.657317422330379486083984375e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(0.75)),
+      static_cast<T>(0.2256699807941913604736328125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7710103154409585858207746641830426369713e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n14a, static_cast<T>(6.5)),
+      static_cast<T>(0.1372059025011920166015625e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.5078877218214320312311861835604176527818e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.5325630803958699699407475236512254923582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.1183906394403697492911931021808413788676e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.7015764398304385537424317046920004042802e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(6.5f), 14),
+      static_cast<T>(0.4205557544065332561152158209905028343201e22L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.125)),
+      static_cast<T>(0.5078877218214320312311861835604176527818e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.25)),
+      static_cast<T>(0.5325630803958699699407475236512254923582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(0.75)),
+      static_cast<T>(0.1183906394403697492911931021808413788676e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7015764398304385537424317046920004042802e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4205557544065332561152158209905028343201e22L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(0.125)),
+      static_cast<T>(0.5078877218214320312311861835604176527818e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(0.25)),
+      static_cast<T>(0.5325630803958699699407475236512254923582e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(0.75)),
+      static_cast<T>(0.1183906394403697492911931021808413788676e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7015764398304385537424317046920004042802e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n14a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4205557544065332561152158209905028343201e22L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.5631017745714562498494894684833412222547e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.6302523215834798797629900946049019694328e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.1411875192538263323882574695744551718235e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.7119189230023502768177083984172702519672e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(6.5f), 14),
+      static_cast<T>(0.6470088529331280863353320322930812835693e21L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.125)),
+      static_cast<T>(0.5631017745714562498494894684833412222547e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.25)),
+      static_cast<T>(0.6302523215834798797629900946049019694328e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(0.75)),
+      static_cast<T>(0.1411875192538263323882574695744551718235e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7119189230023502768177083984172702519672e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6470088529331280863353320322930812835693e21L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(0.125)),
+      static_cast<T>(0.5631017745714562498494894684833412222547e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(0.25)),
+      static_cast<T>(0.6302523215834798797629900946049019694328e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(0.75)),
+      static_cast<T>(0.1411875192538263323882574695744551718235e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7119189230023502768177083984172702519672e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n14a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6470088529331280863353320322930812835693e21L),
+      tolerance);
+   //
+   // Rational functions of order 13
+   //
+   static const U d14c[14] = { 1, 2, 1, 8, 5, 8, 2, 11, 3, 6, 5, 9, 7, 10 };
+   static const boost::array<U, 14> d14a = {{ 1, 2, 1, 8, 5, 8, 2, 11, 3, 6, 5, 9, 7, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.125), 14),
+      static_cast<T>(0.4431848049037056640776200482297774574883e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.25), 14),
+      static_cast<T>(0.3830343514018902583833597521450902906851e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.75), 14),
+      static_cast<T>(0.1657621200711495617835320787645038062003e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(1.0f - 1.0f/64.0f), 14),
+      static_cast<T>(0.1117985091800992684003226640313705018678e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(6.5f), 14),
+      static_cast<T>(0.3280672161259396135368350556553925507681e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(10247.25f), 14),
+      static_cast<T>(0.3000087891957249835881866421118445480875e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.125)),
+      static_cast<T>(0.4431848049037056640776200482297774574883e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.25)),
+      static_cast<T>(0.3830343514018902583833597521450902906851e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(0.75)),
+      static_cast<T>(0.1657621200711495617835320787645038062003e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1117985091800992684003226640313705018678e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3280672161259396135368350556553925507681e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14c, d14c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.3000087891957249835881866421118445480875e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(0.125)),
+      static_cast<T>(0.4431848049037056640776200482297774574883e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(0.25)),
+      static_cast<T>(0.3830343514018902583833597521450902906851e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(0.75)),
+      static_cast<T>(0.1657621200711495617835320787645038062003e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1117985091800992684003226640313705018678e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3280672161259396135368350556553925507681e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n14a, d14a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.3000087891957249835881866421118445480875e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots14(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 14
+   //
+   static const U n15c[15] = { 6, 2, 10, 2, 4, 11, 4, 6, 5, 5, 10, 12, 8, 6, 2 };
+   static const boost::array<U, 15> n15a = {{ 6, 2, 10, 2, 4, 11, 4, 6, 5, 5, 10, 12, 8, 6, 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.6411486971785507193999364972114562988281e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.7184068299829959869384765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.21735079027712345123291015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.8299984286646360949452954853655163780233e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(6.5), 15),
+      static_cast<T>(0.7599432765217742919921875e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.125)),
+      static_cast<T>(0.6411486971785507193999364972114562988281e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.25)),
+      static_cast<T>(0.7184068299829959869384765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(0.75)),
+      static_cast<T>(0.21735079027712345123291015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8299984286646360949452954853655163780233e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15c, static_cast<T>(6.5)),
+      static_cast<T>(0.7599432765217742919921875e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(0.125)),
+      static_cast<T>(0.6411486971785507193999364972114562988281e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(0.25)),
+      static_cast<T>(0.7184068299829959869384765625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(0.75)),
+      static_cast<T>(0.21735079027712345123291015625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8299984286646360949452954853655163780233e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n15a, static_cast<T>(6.5)),
+      static_cast<T>(0.7599432765217742919921875e12L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.603369928436724862526100235763586452224e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.6164622568840771005271861326946236658841e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.1204200081304656236302896843426424311474e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.7438435296991670658675730793779505088179e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(6.5f), 15),
+      static_cast<T>(0.123975649339443727300884144392229616642e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.125)),
+      static_cast<T>(0.603369928436724862526100235763586452224e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.25)),
+      static_cast<T>(0.6164622568840771005271861326946236658841e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(0.75)),
+      static_cast<T>(0.1204200081304656236302896843426424311474e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7438435296991670658675730793779505088179e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15c, static_cast<T>(6.5f)),
+      static_cast<T>(0.123975649339443727300884144392229616642e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(0.125)),
+      static_cast<T>(0.603369928436724862526100235763586452224e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(0.25)),
+      static_cast<T>(0.6164622568840771005271861326946236658841e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(0.75)),
+      static_cast<T>(0.1204200081304656236302896843426424311474e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7438435296991670658675730793779505088179e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n15a, static_cast<T>(6.5f)),
+      static_cast<T>(0.123975649339443727300884144392229616642e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.6269594274937989002088018861086916177919e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.6658490275363084021087445307784946635365e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.1405600108406208315070529124568565748632e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.7546981889007411462781694774633148026087e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(6.5f), 15),
+      static_cast<T>(0.1907317682145288112321802221418917179108e23L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.125)),
+      static_cast<T>(0.6269594274937989002088018861086916177919e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.25)),
+      static_cast<T>(0.6658490275363084021087445307784946635365e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(0.75)),
+      static_cast<T>(0.1405600108406208315070529124568565748632e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7546981889007411462781694774633148026087e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1907317682145288112321802221418917179108e23L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(0.125)),
+      static_cast<T>(0.6269594274937989002088018861086916177919e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(0.25)),
+      static_cast<T>(0.6658490275363084021087445307784946635365e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(0.75)),
+      static_cast<T>(0.1405600108406208315070529124568565748632e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7546981889007411462781694774633148026087e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n15a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1907317682145288112321802221418917179108e23L),
+      tolerance);
+   //
+   // Rational functions of order 14
+   //
+   static const U d15c[15] = { 7, 10, 7, 1, 10, 11, 11, 10, 7, 1, 10, 9, 8, 2, 3 };
+   static const boost::array<U, 15> d15a = {{ 7, 10, 7, 1, 10, 11, 11, 10, 7, 1, 10, 9, 8, 2, 3 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.125), 15),
+      static_cast<T>(0.7665435387801205084357966990293734431712e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.25), 15),
+      static_cast<T>(0.7179510450452743437979498898508621162489e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.75), 15),
+      static_cast<T>(0.7245051156202447814210400449367214490615e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(1.0f - 1.0f/64.0f), 15),
+      static_cast<T>(0.8564567127146107292325365412425895512358e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(6.5f), 15),
+      static_cast<T>(0.8943937154363365123476971638815814742919e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(10247.25f), 15),
+      static_cast<T>(0.6668184674989563469735607034881326982176e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.125)),
+      static_cast<T>(0.7665435387801205084357966990293734431712e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.25)),
+      static_cast<T>(0.7179510450452743437979498898508621162489e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(0.75)),
+      static_cast<T>(0.7245051156202447814210400449367214490615e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8564567127146107292325365412425895512358e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(6.5f)),
+      static_cast<T>(0.8943937154363365123476971638815814742919e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15c, d15c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6668184674989563469735607034881326982176e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(0.125)),
+      static_cast<T>(0.7665435387801205084357966990293734431712e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(0.25)),
+      static_cast<T>(0.7179510450452743437979498898508621162489e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(0.75)),
+      static_cast<T>(0.7245051156202447814210400449367214490615e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8564567127146107292325365412425895512358e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(6.5f)),
+      static_cast<T>(0.8943937154363365123476971638815814742919e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n15a, d15a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.6668184674989563469735607034881326982176e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots15(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 15
+   //
+   static const U n16c[16] = { 5, 3, 4, 6, 7, 9, 7, 6, 12, 12, 7, 12, 10, 3, 6, 2 };
+   static const boost::array<U, 16> n16a = {{ 5, 3, 4, 6, 7, 9, 7, 6, 12, 12, 7, 12, 10, 3, 6, 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.545123276921327715172083117067813873291e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.613219709135591983795166015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.2195364624075591564178466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.9836568924934260045838041177111855604603e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(6.5), 16),
+      static_cast<T>(0.474557924297607818603515625e13L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.125)),
+      static_cast<T>(0.545123276921327715172083117067813873291e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.25)),
+      static_cast<T>(0.613219709135591983795166015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(0.75)),
+      static_cast<T>(0.2195364624075591564178466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9836568924934260045838041177111855604603e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16c, static_cast<T>(6.5)),
+      static_cast<T>(0.474557924297607818603515625e13L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(0.125)),
+      static_cast<T>(0.545123276921327715172083117067813873291e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(0.25)),
+      static_cast<T>(0.613219709135591983795166015625e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(0.75)),
+      static_cast<T>(0.2195364624075591564178466796875e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9836568924934260045838041177111855604603e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n16a, static_cast<T>(6.5)),
+      static_cast<T>(0.474557924297607818603515625e13L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.5047874876401281302859159688868887179229e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.5204705680902215943553490440365294489311e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.1080276729363941941482185615797106947866e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.8750139513999183433264859554731006794881e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(6.5f), 16),
+      static_cast<T>(0.5231073382834479254225049897383445873857e25L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.125)),
+      static_cast<T>(0.5047874876401281302859159688868887179229e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.25)),
+      static_cast<T>(0.5204705680902215943553490440365294489311e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(0.75)),
+      static_cast<T>(0.1080276729363941941482185615797106947866e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8750139513999183433264859554731006794881e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16c, static_cast<T>(6.5f)),
+      static_cast<T>(0.5231073382834479254225049897383445873857e25L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(0.125)),
+      static_cast<T>(0.5047874876401281302859159688868887179229e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(0.25)),
+      static_cast<T>(0.5204705680902215943553490440365294489311e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(0.75)),
+      static_cast<T>(0.1080276729363941941482185615797106947866e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8750139513999183433264859554731006794881e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n16a, static_cast<T>(6.5f)),
+      static_cast<T>(0.5231073382834479254225049897383445873857e25L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.5382999011210250422873277510951097433836e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.5818822723608863774213961761461177957244e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.1273702305818589255309580821062809263822e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.8881094109459487932205571611155308490038e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(6.5f), 16),
+      static_cast<T>(0.8047805204360737314192426765205301344395e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.125)),
+      static_cast<T>(0.5382999011210250422873277510951097433836e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.25)),
+      static_cast<T>(0.5818822723608863774213961761461177957244e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(0.75)),
+      static_cast<T>(0.1273702305818589255309580821062809263822e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8881094109459487932205571611155308490038e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16c, static_cast<T>(6.5f)),
+      static_cast<T>(0.8047805204360737314192426765205301344395e24L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(0.125)),
+      static_cast<T>(0.5382999011210250422873277510951097433836e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(0.25)),
+      static_cast<T>(0.5818822723608863774213961761461177957244e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(0.75)),
+      static_cast<T>(0.1273702305818589255309580821062809263822e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8881094109459487932205571611155308490038e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n16a, static_cast<T>(6.5f)),
+      static_cast<T>(0.8047805204360737314192426765205301344395e24L),
+      tolerance);
+   //
+   // Rational functions of order 15
+   //
+   static const U d16c[16] = { 9, 5, 2, 4, 4, 12, 11, 5, 1, 4, 1, 7, 9, 6, 6, 10 };
+   static const boost::array<U, 16> d16a = {{ 9, 5, 2, 4, 4, 12, 11, 5, 1, 4, 1, 7, 9, 6, 6, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.125), 16),
+      static_cast<T>(0.5639916333371058636233240074655101514789e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.25), 16),
+      static_cast<T>(0.5858114501425065583332351775671440891069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.75), 16),
+      static_cast<T>(0.9254727283150680371198227978127749853934e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(1.0f - 1.0f/64.0f), 16),
+      static_cast<T>(0.1155192269792597191440811772688208898465e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(6.5f), 16),
+      static_cast<T>(0.2736469218296852258039959401695110274611e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(10247.25f), 16),
+      static_cast<T>(0.2000468408076577399196121638600795513365e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.125)),
+      static_cast<T>(0.5639916333371058636233240074655101514789e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.25)),
+      static_cast<T>(0.5858114501425065583332351775671440891069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(0.75)),
+      static_cast<T>(0.9254727283150680371198227978127749853934e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1155192269792597191440811772688208898465e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2736469218296852258039959401695110274611e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16c, d16c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2000468408076577399196121638600795513365e0L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(0.125)),
+      static_cast<T>(0.5639916333371058636233240074655101514789e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(0.25)),
+      static_cast<T>(0.5858114501425065583332351775671440891069e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(0.75)),
+      static_cast<T>(0.9254727283150680371198227978127749853934e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.1155192269792597191440811772688208898465e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2736469218296852258039959401695110274611e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n16a, d16a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.2000468408076577399196121638600795513365e0L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots16(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 16
+   //
+   static const U n17c[17] = { 9, 6, 11, 2, 9, 10, 6, 3, 3, 3, 4, 9, 10, 2, 3, 2, 2 };
+   static const boost::array<U, 17> n17a = {{ 9, 6, 11, 2, 9, 10, 6, 3, 3, 3, 4, 9, 10, 2, 3, 2, 2 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.9928308216189925872185995103791356086731e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.112653836444951593875885009765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.288157429718412458896636962890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.8499409476622319741012411965028222548509e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(6.5), 17),
+      static_cast<T>(0.24291309657542805938720703125e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.125)),
+      static_cast<T>(0.9928308216189925872185995103791356086731e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.25)),
+      static_cast<T>(0.112653836444951593875885009765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(0.75)),
+      static_cast<T>(0.288157429718412458896636962890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8499409476622319741012411965028222548509e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17c, static_cast<T>(6.5)),
+      static_cast<T>(0.24291309657542805938720703125e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(0.125)),
+      static_cast<T>(0.9928308216189925872185995103791356086731e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(0.25)),
+      static_cast<T>(0.112653836444951593875885009765625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(0.75)),
+      static_cast<T>(0.288157429718412458896636962890625e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8499409476622319741012411965028222548509e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n17a, static_cast<T>(6.5)),
+      static_cast<T>(0.24291309657542805938720703125e14L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.9096443722112564415334975111453014308977e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.9418604266644799371155545586464796770088e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.1800748238050061998856161277204890325265e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.7725414891276907880696219594586980069116e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(6.5f), 17),
+      static_cast<T>(0.2112416072820759278619692697965107844211e27L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.125)),
+      static_cast<T>(0.9096443722112564415334975111453014308977e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.25)),
+      static_cast<T>(0.9418604266644799371155545586464796770088e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(0.75)),
+      static_cast<T>(0.1800748238050061998856161277204890325265e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7725414891276907880696219594586980069116e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2112416072820759278619692697965107844211e27L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(0.125)),
+      static_cast<T>(0.9096443722112564415334975111453014308977e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(0.25)),
+      static_cast<T>(0.9418604266644799371155545586464796770088e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(0.75)),
+      static_cast<T>(0.1800748238050061998856161277204890325265e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7725414891276907880696219594586980069116e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n17a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2112416072820759278619692697965107844211e27L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.9771549776900515322679800891624114471814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.1067441706657919748462218234585918708035e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.210099765073341599847488170293985376702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.7833754810186065148643778635770900387673e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(6.5f), 17),
+      static_cast<T>(0.3249870881262706582491835681484781298786e26L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.125)),
+      static_cast<T>(0.9771549776900515322679800891624114471814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.25)),
+      static_cast<T>(0.1067441706657919748462218234585918708035e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(0.75)),
+      static_cast<T>(0.210099765073341599847488170293985376702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7833754810186065148643778635770900387673e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17c, static_cast<T>(6.5f)),
+      static_cast<T>(0.3249870881262706582491835681484781298786e26L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(0.125)),
+      static_cast<T>(0.9771549776900515322679800891624114471814e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(0.25)),
+      static_cast<T>(0.1067441706657919748462218234585918708035e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(0.75)),
+      static_cast<T>(0.210099765073341599847488170293985376702e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7833754810186065148643778635770900387673e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n17a, static_cast<T>(6.5f)),
+      static_cast<T>(0.3249870881262706582491835681484781298786e26L),
+      tolerance);
+   //
+   // Rational functions of order 16
+   //
+   static const U d17c[17] = { 7, 12, 3, 11, 10, 2, 5, 10, 4, 11, 10, 6, 2, 12, 1, 2, 1 };
+   static const boost::array<U, 17> d17a = {{ 7, 12, 3, 11, 10, 2, 5, 10, 4, 11, 10, 6, 2, 12, 1, 2, 1 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.125), 17),
+      static_cast<T>(0.1158375951946763080209403673166347533318e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.25), 17),
+      static_cast<T>(0.1082966720285644924561131930917359028989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.75), 17),
+      static_cast<T>(0.9405394059495731884564238556014726773139e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(1.0f - 1.0f/64.0f), 17),
+      static_cast<T>(0.8654376623250381987950547557864849720673e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(6.5f), 17),
+      static_cast<T>(0.1737601600028386310221746538845672721834e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(10247.25f), 17),
+      static_cast<T>(0.1999804873273333726353229695741031917586e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.125)),
+      static_cast<T>(0.1158375951946763080209403673166347533318e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.25)),
+      static_cast<T>(0.1082966720285644924561131930917359028989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(0.75)),
+      static_cast<T>(0.9405394059495731884564238556014726773139e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8654376623250381987950547557864849720673e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1737601600028386310221746538845672721834e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17c, d17c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1999804873273333726353229695741031917586e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(0.125)),
+      static_cast<T>(0.1158375951946763080209403673166347533318e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(0.25)),
+      static_cast<T>(0.1082966720285644924561131930917359028989e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(0.75)),
+      static_cast<T>(0.9405394059495731884564238556014726773139e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8654376623250381987950547557864849720673e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1737601600028386310221746538845672721834e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n17a, d17a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1999804873273333726353229695741031917586e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots17(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 17
+   //
+   static const U n18c[18] = { 6, 5, 7, 8, 12, 9, 4, 1, 3, 5, 1, 5, 12, 8, 4, 6, 1, 10 };
+   static const boost::array<U, 18> n18a = {{ 6, 5, 7, 8, 12, 9, 4, 1, 3, 5, 1, 5, 12, 8, 4, 6, 1, 10 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.6753220299099845114199069939786568284035e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.7869269511546008288860321044921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.25590585466590709984302520751953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.9432688198514753127308115619023015607828e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(6.5), 18),
+      static_cast<T>(0.680830157865510950897216796875e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.125)),
+      static_cast<T>(0.6753220299099845114199069939786568284035e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.25)),
+      static_cast<T>(0.7869269511546008288860321044921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(0.75)),
+      static_cast<T>(0.25590585466590709984302520751953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9432688198514753127308115619023015607828e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18c, static_cast<T>(6.5)),
+      static_cast<T>(0.680830157865510950897216796875e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(0.125)),
+      static_cast<T>(0.6753220299099845114199069939786568284035e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(0.25)),
+      static_cast<T>(0.7869269511546008288860321044921875e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(0.75)),
+      static_cast<T>(0.25590585466590709984302520751953125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9432688198514753127308115619023015607828e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n18a, static_cast<T>(6.5)),
+      static_cast<T>(0.680830157865510950897216796875e15L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.6079865225649211447450201991749585071453e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.6341988806453956744898332268528529098717e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.1439378129034890784564674906867431936064e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.8374908316692411299816073455081075151876e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(6.5f), 18),
+      static_cast<T>(0.4367459075155664096657376949959960997093e29L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.125)),
+      static_cast<T>(0.6079865225649211447450201991749585071453e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.25)),
+      static_cast<T>(0.6341988806453956744898332268528529098717e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(0.75)),
+      static_cast<T>(0.1439378129034890784564674906867431936064e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8374908316692411299816073455081075151876e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18c, static_cast<T>(6.5f)),
+      static_cast<T>(0.4367459075155664096657376949959960997093e29L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(0.125)),
+      static_cast<T>(0.6079865225649211447450201991749585071453e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(0.25)),
+      static_cast<T>(0.6341988806453956744898332268528529098717e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(0.75)),
+      static_cast<T>(0.1439378129034890784564674906867431936064e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8374908316692411299816073455081075151876e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n18a, static_cast<T>(6.5f)),
+      static_cast<T>(0.4367459075155664096657376949959960997093e29L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.6638921805193691579601615933996680571626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.7367955225815826979593329074114116394867e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.1719170838713187712752899875823242581419e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.8498319559814513066479820652780774757461e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(6.5f), 18),
+      static_cast<T>(0.6719167807931790917934426081938401533989e28L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.125)),
+      static_cast<T>(0.6638921805193691579601615933996680571626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.25)),
+      static_cast<T>(0.7367955225815826979593329074114116394867e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(0.75)),
+      static_cast<T>(0.1719170838713187712752899875823242581419e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8498319559814513066479820652780774757461e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18c, static_cast<T>(6.5f)),
+      static_cast<T>(0.6719167807931790917934426081938401533989e28L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(0.125)),
+      static_cast<T>(0.6638921805193691579601615933996680571626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(0.25)),
+      static_cast<T>(0.7367955225815826979593329074114116394867e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(0.75)),
+      static_cast<T>(0.1719170838713187712752899875823242581419e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8498319559814513066479820652780774757461e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n18a, static_cast<T>(6.5f)),
+      static_cast<T>(0.6719167807931790917934426081938401533989e28L),
+      tolerance);
+   //
+   // Rational functions of order 17
+   //
+   static const U d18c[18] = { 6, 2, 11, 2, 12, 4, 1, 5, 7, 12, 5, 7, 5, 7, 5, 7, 2, 9 };
+   static const boost::array<U, 18> d18a = {{ 6, 2, 11, 2, 12, 4, 1, 5, 7, 12, 5, 7, 5, 7, 5, 7, 2, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.125), 18),
+      static_cast<T>(0.1050457095586493221315235501384188635425e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.25), 18),
+      static_cast<T>(0.1082394733850278225180153358339433604182e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.75), 18),
+      static_cast<T>(0.1117650157149023587583496399377426188558e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(1.0f - 1.0f/64.0f), 18),
+      static_cast<T>(0.9882013696252427983431096654690843223851e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(6.5f), 18),
+      static_cast<T>(0.1086348665080997883580887205673821889245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(10247.25f), 18),
+      static_cast<T>(0.1111097856940394090609547290690047016487e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.125)),
+      static_cast<T>(0.1050457095586493221315235501384188635425e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.25)),
+      static_cast<T>(0.1082394733850278225180153358339433604182e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(0.75)),
+      static_cast<T>(0.1117650157149023587583496399377426188558e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9882013696252427983431096654690843223851e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1086348665080997883580887205673821889245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18c, d18c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111097856940394090609547290690047016487e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(0.125)),
+      static_cast<T>(0.1050457095586493221315235501384188635425e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(0.25)),
+      static_cast<T>(0.1082394733850278225180153358339433604182e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(0.75)),
+      static_cast<T>(0.1117650157149023587583496399377426188558e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.9882013696252427983431096654690843223851e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1086348665080997883580887205673821889245e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n18a, d18a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1111097856940394090609547290690047016487e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots18(T, U)
+{
+   //
+   // Tolerance is 4 eps expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 4 * 100;
+
+   //
+   // Polynomials of order 18
+   //
+   static const U n19c[19] = { 7, 2, 4, 2, 4, 3, 9, 1, 9, 3, 7, 2, 10, 4, 2, 5, 11, 3, 9 };
+   static const boost::array<U, 19> n19a = {{ 7, 2, 4, 2, 4, 3, 9, 1, 9, 3, 7, 2, 10, 4, 2, 5, 11, 3, 9 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.7317509740045990140888676478425622917712e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.7802219584656995721161365509033203125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.17609299321266007609665393829345703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.8327888521934174049333133442289010778727e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(6.5), 19),
+      static_cast<T>(0.4179028813935817562572479248046875e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.125)),
+      static_cast<T>(0.7317509740045990140888676478425622917712e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.25)),
+      static_cast<T>(0.7802219584656995721161365509033203125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(0.75)),
+      static_cast<T>(0.17609299321266007609665393829345703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8327888521934174049333133442289010778727e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19c, static_cast<T>(6.5)),
+      static_cast<T>(0.4179028813935817562572479248046875e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(0.125)),
+      static_cast<T>(0.7317509740045990140888676478425622917712e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(0.25)),
+      static_cast<T>(0.7802219584656995721161365509033203125e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(0.75)),
+      static_cast<T>(0.17609299321266007609665393829345703125e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8327888521934174049333133442289010778727e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_polynomial(n19a, static_cast<T>(6.5)),
+      static_cast<T>(0.4179028813935817562572479248046875e16L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.7032234433238304833197011488540991991734e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.7141177719741940632063571816842174888595e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.107671418972012709727788225142148040292e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.7205306905267900876445365429703520869133e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(6.5f), 19),
+      static_cast<T>(0.1670453627683043936397442394984734181614e31L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.125)),
+      static_cast<T>(0.7032234433238304833197011488540991991734e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.25)),
+      static_cast<T>(0.7141177719741940632063571816842174888595e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(0.75)),
+      static_cast<T>(0.107671418972012709727788225142148040292e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7205306905267900876445365429703520869133e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1670453627683043936397442394984734181614e31L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(0.125)),
+      static_cast<T>(0.7032234433238304833197011488540991991734e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(0.25)),
+      static_cast<T>(0.7141177719741940632063571816842174888595e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(0.75)),
+      static_cast<T>(0.107671418972012709727788225142148040292e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7205306905267900876445365429703520869133e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_even_polynomial(n19a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1670453627683043936397442394984734181614e31L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.7257875465906438665576091908327935933871e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.7564710878967762528254287267368699554382e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.120228558629350279637050966856197387056e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.7308565745034058033214339484143259295627e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(6.5f), 19),
+      static_cast<T>(0.2569928657973913748303757530804975664022e30L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.125)),
+      static_cast<T>(0.7257875465906438665576091908327935933871e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.25)),
+      static_cast<T>(0.7564710878967762528254287267368699554382e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(0.75)),
+      static_cast<T>(0.120228558629350279637050966856197387056e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7308565745034058033214339484143259295627e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19c, static_cast<T>(6.5f)),
+      static_cast<T>(0.2569928657973913748303757530804975664022e30L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(0.125)),
+      static_cast<T>(0.7257875465906438665576091908327935933871e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(0.25)),
+      static_cast<T>(0.7564710878967762528254287267368699554382e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(0.75)),
+      static_cast<T>(0.120228558629350279637050966856197387056e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.7308565745034058033214339484143259295627e2L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_odd_polynomial(n19a, static_cast<T>(6.5f)),
+      static_cast<T>(0.2569928657973913748303757530804975664022e30L),
+      tolerance);
+   //
+   // Rational functions of order 18
+   //
+   static const U d19c[19] = { 3, 2, 3, 3, 10, 6, 2, 6, 9, 8, 8, 10, 5, 7, 6, 4, 6, 9, 7 };
+   static const boost::array<U, 19> d19a = {{ 3, 2, 3, 3, 10, 6, 2, 6, 9, 8, 8, 10, 5, 7, 6, 4, 6, 9, 7 }};
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.125), 19),
+      static_cast<T>(0.2213824709533496994632324982010106870288e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.25), 19),
+      static_cast<T>(0.2063899260318829004588039751781791436716e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.75), 19),
+      static_cast<T>(0.1085337280046506127330919833145641152667e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(1.0f - 1.0f/64.0f), 19),
+      static_cast<T>(0.8530644127293554041631338796773621506306e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(6.5f), 19),
+      static_cast<T>(0.1140014406058131768268407547610620204626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(10247.25f), 19),
+      static_cast<T>(0.1285594810697167354761598106316532892359e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.125)),
+      static_cast<T>(0.2213824709533496994632324982010106870288e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.25)),
+      static_cast<T>(0.2063899260318829004588039751781791436716e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(0.75)),
+      static_cast<T>(0.1085337280046506127330919833145641152667e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8530644127293554041631338796773621506306e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(6.5f)),
+      static_cast<T>(0.1140014406058131768268407547610620204626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19c, d19c, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1285594810697167354761598106316532892359e1L),
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(0.125)),
+      static_cast<T>(0.2213824709533496994632324982010106870288e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(0.25)),
+      static_cast<T>(0.2063899260318829004588039751781791436716e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(0.75)),
+      static_cast<T>(0.1085337280046506127330919833145641152667e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(1.0f - 1.0f/64.0f)),
+      static_cast<T>(0.8530644127293554041631338796773621506306e0L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(6.5f)),
+      static_cast<T>(0.1140014406058131768268407547610620204626e1L),
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      boost::math::tools::evaluate_rational(n19a, d19a, static_cast<T>(10247.25f)),
+      static_cast<T>(0.1285594810697167354761598106316532892359e1L),
+      tolerance);
+}
+
+template <class T, class U>
+void do_test_spots(T t, U u)
+{
+   do_test_spots1(t, u);
+   do_test_spots2(t, u);
+   do_test_spots3(t, u);
+   do_test_spots4(t, u);
+   do_test_spots5(t, u);
+   do_test_spots6(t, u);
+   do_test_spots7(t, u);
+   do_test_spots8(t, u);
+   do_test_spots9(t, u);
+   do_test_spots10(t, u);
+   do_test_spots11(t, u);
+   do_test_spots12(t, u);
+   do_test_spots13(t, u);
+   do_test_spots14(t, u);
+   do_test_spots15(t, u);
+   do_test_spots16(t, u);
+   do_test_spots17(t, u);
+   do_test_spots18(t, u);
+}
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double1.cpp
new file mode 100644
index 000000000..4cc42ec0f
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double1.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, double>(double, double);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double2.cpp
new file mode 100644
index 000000000..254bbcd90
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double2.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, int>(double, int);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double3.cpp
new file mode 100644
index 000000000..d371b988b
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double3.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, unsigned>(double, unsigned);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double4.cpp
new file mode 100644
index 000000000..7e7faa8a5
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double4.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "test_rational.hpp"
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<double, boost::ulong_long_type>(double, boost::ulong_long_type);
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_double5.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_double5.cpp
new file mode 100644
index 000000000..f5ed5c863
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_double5.cpp
@@ -0,0 +1,9 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<double, float>(double, float);
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float1.cpp
new file mode 100644
index 000000000..227c48267
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float1.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<float, float>(float, float);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float2.cpp
new file mode 100644
index 000000000..81b843d83
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float2.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<float, int>(float, int);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float3.cpp
new file mode 100644
index 000000000..aa7a1ae7d
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float3.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<float, unsigned>(float, unsigned);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_float4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_float4.cpp
new file mode 100644
index 000000000..4e55876da
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_float4.cpp
@@ -0,0 +1,11 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<float, boost::ulong_long_type>(float, boost::ulong_long_type);
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble1.cpp
new file mode 100644
index 000000000..5b69bbafb
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble1.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, long double>(long double, long double);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble2.cpp
new file mode 100644
index 000000000..593c33f33
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble2.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, int>(long double, int);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble3.cpp
new file mode 100644
index 000000000..82281c381
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble3.cpp
@@ -0,0 +1,10 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, unsigned>(long double, unsigned);
+
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble4.cpp
new file mode 100644
index 000000000..63b5a1b8e
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble4.cpp
@@ -0,0 +1,11 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<long double, boost::ulong_long_type>(long double, boost::ulong_long_type);
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble5.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble5.cpp
new file mode 100644
index 000000000..cccd06926
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_ldouble5.cpp
@@ -0,0 +1,9 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include "test_rational.hpp"
+
+template void do_test_spots<long double, float>(long double, float);
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept1.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept1.cpp
new file mode 100644
index 000000000..144cc33df
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept1.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, boost::math::concepts::real_concept>(boost::math::concepts::real_concept, boost::math::concepts::real_concept);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept2.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept2.cpp
new file mode 100644
index 000000000..2c04fc62e
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept2.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, int>(boost::math::concepts::real_concept, int);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept3.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept3.cpp
new file mode 100644
index 000000000..e238dcc3e
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept3.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, unsigned>(boost::math::concepts::real_concept, unsigned);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept4.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept4.cpp
new file mode 100644
index 000000000..2dd58713f
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept4.cpp
@@ -0,0 +1,16 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifdef BOOST_HAS_LONG_LONG
+template void do_test_spots<boost::math::concepts::real_concept, boost::ulong_long_type>(boost::math::concepts::real_concept, boost::ulong_long_type);
+#endif
+#endif
diff --git a/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept5.cpp b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept5.cpp
new file mode 100644
index 000000000..1bd217c37
--- /dev/null
+++ b/src/boost/libs/math/test/test_rational_instances/test_rational_real_concept5.cpp
@@ -0,0 +1,15 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+
+#include <boost/detail/workaround.hpp>
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+
+#include "test_rational.hpp"
+#include <boost/math/concepts/real_concept.hpp>
+
+template void do_test_spots<boost::math::concepts::real_concept, float>(boost::math::concepts::real_concept, float);
+
+#endif
diff --git a/src/boost/libs/math/test/test_rationals.cpp b/src/boost/libs/math/test/test_rationals.cpp
new file mode 100644
index 000000000..bdb77f7fe
--- /dev/null
+++ b/src/boost/libs/math/test/test_rationals.cpp
@@ -0,0 +1,48 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/array.hpp>
+#include <boost/math/tools/rational.hpp>
+#include <iostream>
+
+template <class T, class U>
+void do_test_spots(T, U);
+
+template <class T>
+void test_spots(T t, const char* n)
+{
+   std::cout << "Testing basic sanity checks for type " << n << std::endl;
+   do_test_spots(t, int(0));
+   do_test_spots(t, unsigned(0));
+#ifdef BOOST_HAS_LONG_LONG
+   do_test_spots(t, (boost::ulong_long_type)(0));
+#endif
+   do_test_spots(t, float(0));
+   do_test_spots(t, T(0));
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_rayleigh.cpp b/src/boost/libs/math/test/test_rayleigh.cpp
new file mode 100644
index 000000000..a0293c656
--- /dev/null
+++ b/src/boost/libs/math/test/test_rayleigh.cpp
@@ -0,0 +1,339 @@
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_rayleigh.cpp
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/distributions/rayleigh.hpp>
+    using boost::math::rayleigh_distribution;
+#include <boost/math/tools/test.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spot(RealType s, RealType x, RealType p, RealType q, RealType tolerance)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         rayleigh_distribution<RealType>(s),
+         x),
+         p,
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(rayleigh_distribution<RealType>(s),
+         x)),
+         q,
+         tolerance); // %
+   // Special extra tests for p and q near to unity.
+   if(p < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            rayleigh_distribution<RealType>(s),
+            p),
+            x,
+            tolerance); // %
+   }
+   if(q < 0.999)
+   {
+      BOOST_CHECK_CLOSE(
+         ::boost::math::quantile(
+            complement(rayleigh_distribution<RealType>(s),
+            q)),
+            x,
+            tolerance); // %
+   }
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      RealType inf = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL(pdf(rayleigh_distribution<RealType>(s), inf), 0);
+      BOOST_CHECK_EQUAL(cdf(rayleigh_distribution<RealType>(s), inf), 1);
+      BOOST_CHECK_EQUAL(cdf(complement(rayleigh_distribution<RealType>(s), inf)), 0);
+   }
+} // void test_spot
+
+template <class RealType>
+void test_spots(RealType T)
+{
+   using namespace std; // ADL of std names.
+   // Basic sanity checks.
+   // 50 eps as a percentage, up to a maximum of double precision
+   // (that's the limit of our test data: obtained by punching
+   // numbers into a calculator).
+   RealType tolerance = (std::max)(
+      static_cast<RealType>(boost::math::tools::epsilon<double>()),
+      boost::math::tools::epsilon<RealType>());
+   tolerance *= 10 * 100; // 10 eps as a percent
+   cout << "Tolerance for type " << typeid(T).name()  << " is " << tolerance << " %" << endl;
+
+  using namespace boost::math::constants;
+
+   // Things that are errors:
+   rayleigh_distribution<RealType> dist(0.5);
+
+   check_out_of_range<rayleigh_distribution<RealType> >(1);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist,
+       RealType(1.)), // quantile unity should overflow.
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(complement(dist,
+       RealType(0.))), // quantile complement zero should overflow.
+       std::overflow_error);
+   BOOST_MATH_CHECK_THROW(
+       pdf(dist, RealType(-1)), // Bad negative x.
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(dist, RealType(-1)), // Bad negative x.
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(rayleigh_distribution<RealType>(-1), // bad sigma < 0
+       RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       cdf(rayleigh_distribution<RealType>(0), // bad sigma == 0
+       RealType(1)),
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(-1)), // negative quantile probability.
+       std::domain_error);
+   BOOST_MATH_CHECK_THROW(
+       quantile(dist, RealType(2)), // > unity  quantile probability.
+       std::domain_error);
+
+   test_spot(
+      static_cast<RealType>(1.L), // sigma
+      static_cast<RealType>(1.L), // x
+      static_cast<RealType>(1 - exp_minus_half<RealType>()), // p
+      static_cast<RealType>(exp_minus_half<RealType>()), // q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(0.5L), // sigma
+      static_cast<RealType>(0.5L), // x
+      static_cast<RealType>(1 - exp_minus_half<RealType>()), // p
+      static_cast<RealType>(exp_minus_half<RealType>()), //q
+      tolerance);
+
+   test_spot(
+      static_cast<RealType>(3.L), // sigma
+      static_cast<RealType>(3.L), // x
+      static_cast<RealType>(1 - exp_minus_half<RealType>()), // p
+      static_cast<RealType>(exp_minus_half<RealType>()), //q
+      tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         rayleigh_distribution<RealType>(1.L),
+         static_cast<RealType>(1.L)),              // x
+         static_cast<RealType>(exp_minus_half<RealType>()), // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         rayleigh_distribution<RealType>(0.5L),
+         static_cast<RealType>(0.5L)),              // x
+         static_cast<RealType>(2 * exp_minus_half<RealType>()), // probability.
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::pdf(
+         rayleigh_distribution<RealType>(2.L),
+         static_cast<RealType>(2.L)),              // x
+         static_cast<RealType>(exp_minus_half<RealType>() /2),  // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mean(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(root_half_pi<RealType>()),
+         tolerance); // %
+   BOOST_CHECK_CLOSE(
+      ::boost::math::variance(
+         rayleigh_distribution<RealType>(root_two<RealType>())),
+         static_cast<RealType>(four_minus_pi<RealType>()),
+         tolerance * 100); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::mode(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(1.L),
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::median(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(sqrt(log(4.L))),  // sigma * sqrt(log_four)
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(2.L * root_pi<RealType>()) * (pi<RealType>() - 3) / (pow((4 - pi<RealType>()), static_cast<RealType>(1.5L))),
+         tolerance * 100); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::skewness(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(0.63111065781893713819189935154422777984404221106391L),
+         tolerance * 100); // %
+
+   BOOST_CHECK_CLOSE(
+     ::boost::math::kurtosis_excess(
+     rayleigh_distribution<RealType>(1.L)),
+     -static_cast<RealType>(6 * pi<RealType>() * pi<RealType>() - 24 * pi<RealType>() + 16) /
+        ((4 - pi<RealType>()) * (4 - pi<RealType>())),
+        // static_cast<RealType>(0.2450893006876380628486604106197544154170667057995L),
+         tolerance * 1000); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis(
+         rayleigh_distribution<RealType>(1.L)),
+         static_cast<RealType>(3.2450893006876380628486604106197544154170667057995L),
+         tolerance * 100); // %
+
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::kurtosis_excess(rayleigh_distribution<RealType>(2)),
+      ::boost::math::kurtosis(rayleigh_distribution<RealType>(2)) -3,
+         tolerance* 100); // %
+
+
+   RealType expected_entropy = 1 + log(boost::math::constants::root_two<RealType>()) + boost::math::constants::euler<RealType>()/2;
+   BOOST_CHECK_CLOSE(
+      ::boost::math::entropy(rayleigh_distribution<RealType>(2)),
+      expected_entropy,
+         tolerance* 100);
+   return;
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can generate rayleigh distribution using the two convenience methods:
+   boost::math::rayleigh ray1(1.); // Using typedef
+   rayleigh_distribution<> ray2(1.); // Using default RealType double.
+
+  using namespace boost::math::constants;
+   // Basic sanity-check spot values.
+
+  // Double only tests.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::pdf(
+      rayleigh_distribution<double>(1.),
+      static_cast<double>(1)), // x
+      static_cast<double>(exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::pdf(
+      rayleigh_distribution<double>(0.5),
+      static_cast<double>(0.5)), // x
+      static_cast<double>(2 * exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::pdf(
+      rayleigh_distribution<double>(2.),
+      static_cast<double>(2)), // x
+      static_cast<double>(exp_minus_half<double>() /2 ), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(1.),
+      static_cast<double>(1)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(2.),
+      static_cast<double>(2)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(3.),
+      static_cast<double>(3)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(4)), // x
+      static_cast<double>(1- exp_minus_half<double>()), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(complement(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(4))), // x
+      static_cast<double>(exp_minus_half<double>()), // q = 1 - p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(1- exp_minus_half<double>())), // x
+      static_cast<double>(4), // p
+         1e-15); // %
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(complement(
+      rayleigh_distribution<double>(4.),
+      static_cast<double>(exp_minus_half<double>()))), // x
+      static_cast<double>(4), // p
+         1e-15); // %
+
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output is:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_rayleigh.exe"
+Running 1 test case...
+Tolerance for type float is 0.000119209 %
+Tolerance for type double is 2.22045e-013 %
+Tolerance for type long double is 2.22045e-013 %
+Tolerance for type class boost::math::concepts::real_concept is 2.22045e-013 %
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_real_concept.cpp b/src/boost/libs/math/test/test_real_concept.cpp
new file mode 100644
index 000000000..187e36fb8
--- /dev/null
+++ b/src/boost/libs/math/test/test_real_concept.cpp
@@ -0,0 +1,578 @@
+// Copyright John Maddock 2010
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/constants/constants.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <iostream>
+#include <iomanip>
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+
+   typedef boost::math::concepts::real_concept rc_t;
+
+   rc_t r1(2.5), r2(0.125), r3(45.5);
+   long double               l1(2.5), l2(0.125), l3(45.5);
+   long double tol = std::numeric_limits<long double>::epsilon() * 2;
+
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t += r2;
+      t2 += l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t += 23L;
+      t2 = 23 + l1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t += static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t -= r2;
+      t2 -= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t -= 23L;
+      t2 = l1 - 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t -= static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t *= r2;
+      t2 *= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t *= 23L;
+      t2 = 23 * l1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t *= static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t(r1);
+      long double   t2(l1);
+      t /= r2;
+      t2 /= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = r1;
+      t /= 23L;
+      t2 = l1 / 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1;
+      t /= static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      rc_t t;
+      long double t2;
+      t = r1 + r2;
+      t2 = l1 + l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = l2 + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 + 23L;
+      t = r1 + 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 + static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = 23L + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) + r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t;
+      long double t2;
+      t = r1 - r2;
+      t2 = l1 - l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t2 = l2 - l1;
+      t = l2 - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 - 23L;
+      t = r1 - 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 - static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = 23L - l1;
+      t = 23L - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) - r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t;
+      long double t2;
+      t = r1 * r2;
+      t2 = l1 * l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = l2 * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 * 23L;
+      t = r1 * 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 * static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t = 23L * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) * r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+   {
+      rc_t t;
+      long double t2;
+      t = r1 / r2;
+      t2 = l1 / l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / l2;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 0.125;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 0.125f;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t2 = l2 / l1;
+      t = l2 / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125 / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 0.125f / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = l1 / 23L;
+      t = r1 / 23L;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 23uL;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 23;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / 23u;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<unsigned short>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<signed char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = r1 / static_cast<unsigned char>(23);
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+
+      t2 = 23L / l1;
+      t = 23L / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23uL / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23 / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = 23u / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<short>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned short>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<char>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<signed char>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+      t = static_cast<unsigned char>(23) / r1;
+      BOOST_CHECK_CLOSE_FRACTION(t.value(), t2, tol);
+   }
+
+   {
+      BOOST_CHECK_EQUAL(r1 == r2, l1 == l2);
+      BOOST_CHECK_EQUAL(r1 == l2, l1 == l2);
+      BOOST_CHECK_EQUAL(r1 == 0.125, l1 == l2);
+      BOOST_CHECK_EQUAL(r1 == 0.125f, l1 == l2);
+      BOOST_CHECK_EQUAL(l1 == r2, l1 == l2);
+      BOOST_CHECK_EQUAL(2.5 == r2, l1 == l2);
+      BOOST_CHECK_EQUAL(2.5f == r2, l1 == l2);
+
+      BOOST_CHECK_EQUAL(r1 <= r2, l1 <= l2);
+      BOOST_CHECK_EQUAL(r1 <= l2, l1 <= l2);
+      BOOST_CHECK_EQUAL(r1 <= 0.125, l1 <= l2);
+      BOOST_CHECK_EQUAL(r1 <= 0.125f, l1 <= l2);
+      BOOST_CHECK_EQUAL(l1 <= r2, l1 <= l2);
+      BOOST_CHECK_EQUAL(2.5 <= r2, l1 <= l2);
+      BOOST_CHECK_EQUAL(2.5f <= r2, l1 <= l2);
+
+      BOOST_CHECK_EQUAL(r1 >= r2, l1 >= l2);
+      BOOST_CHECK_EQUAL(r1 >= l2, l1 >= l2);
+      BOOST_CHECK_EQUAL(r1 >= 0.125, l1 >= l2);
+      BOOST_CHECK_EQUAL(r1 >= 0.125f, l1 >= l2);
+      BOOST_CHECK_EQUAL(l1 >= r2, l1 >= l2);
+      BOOST_CHECK_EQUAL(2.5 >= r2, l1 >= l2);
+      BOOST_CHECK_EQUAL(2.5f >= r2, l1 >= l2);
+
+      BOOST_CHECK_EQUAL(r1 < r2, l1 < l2);
+      BOOST_CHECK_EQUAL(r1 < l2, l1 < l2);
+      BOOST_CHECK_EQUAL(r1 < 0.125, l1 < l2);
+      BOOST_CHECK_EQUAL(r1 < 0.125f, l1 < l2);
+      BOOST_CHECK_EQUAL(l1 < r2, l1 < l2);
+      BOOST_CHECK_EQUAL(2.5 < r2, l1 < l2);
+      BOOST_CHECK_EQUAL(2.5f < r2, l1 < l2);
+
+      BOOST_CHECK_EQUAL(r1 > r2, l1 > l2);
+      BOOST_CHECK_EQUAL(r1 > l2, l1 > l2);
+      BOOST_CHECK_EQUAL(r1 > 0.125, l1 > l2);
+      BOOST_CHECK_EQUAL(r1 > 0.125f, l1 > l2);
+      BOOST_CHECK_EQUAL(l1 > r2, l1 > l2);
+      BOOST_CHECK_EQUAL(2.5 > r2, l1 > l2);
+      BOOST_CHECK_EQUAL(2.5f > r2, l1 > l2);
+   }
+
+   {
+      BOOST_MATH_STD_USING
+      BOOST_CHECK_CLOSE_FRACTION(acos(r2), acos(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(cos(r2), cos(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(asin(r2), asin(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(atan(r2), atan(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(atan2(r2, r3), atan2(l2, l3), tol);
+      BOOST_CHECK_CLOSE_FRACTION(ceil(r2), ceil(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(fmod(r2, r3), fmod(l2, l3), tol);
+      BOOST_CHECK_CLOSE_FRACTION(cosh(r2), cosh(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(exp(r2), exp(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(fabs(r2), fabs(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(abs(r2), abs(l2), tol);
+      rc_t rc_result;
+      long double ld_result;
+#ifdef __MINGW32__
+      BOOST_CHECK_CLOSE_FRACTION(modf(r2, &rc_result), boost::math::modf(l2, &ld_result), tol);
+#else
+      BOOST_CHECK_CLOSE_FRACTION(modf(r2, &rc_result), modf(l2, &ld_result), tol);
+#endif
+      BOOST_CHECK_CLOSE_FRACTION(rc_result, ld_result, tol);
+      int i1, i2;
+      BOOST_CHECK_CLOSE_FRACTION(frexp(r3, &i1), frexp(l3, &i2), tol);
+      BOOST_CHECK_EQUAL(i1, i2);
+      BOOST_CHECK_CLOSE_FRACTION(ldexp(r3, i1), ldexp(l3, i1), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log(r2), log(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log10(r2), log10(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(tan(r2), tan(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(pow(r2, r3), pow(l2, l3), tol);
+      BOOST_CHECK_CLOSE_FRACTION(pow(r2, i1), pow(l2, i1), tol);
+      BOOST_CHECK_CLOSE_FRACTION(sin(r2), sin(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(sinh(r2), sinh(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(sqrt(r2), sqrt(l2), tol);
+      BOOST_CHECK_CLOSE_FRACTION(tanh(r2), tanh(l2), tol);
+
+      BOOST_CHECK_EQUAL(iround(r2), boost::math::iround(l2));
+      BOOST_CHECK_EQUAL(lround(r2), boost::math::lround(l2));
+#ifdef BOOST_HAS_LONG_LONG
+      BOOST_CHECK_EQUAL(llround(r2), boost::math::llround(l2));
+#endif
+      BOOST_CHECK_EQUAL(itrunc(r2), boost::math::itrunc(l2));
+      BOOST_CHECK_EQUAL(ltrunc(r2), boost::math::ltrunc(l2));
+#ifdef BOOST_HAS_LONG_LONG
+      BOOST_CHECK_EQUAL(lltrunc(r2), boost::math::lltrunc(l2));
+#endif
+   }
+
+   {
+      using namespace boost::math::tools;
+      tol = std::numeric_limits<long double>::epsilon();
+      BOOST_CHECK_CLOSE_FRACTION(max_value<rc_t>(), max_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(min_value<rc_t>(), min_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log_max_value<rc_t>(), log_max_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(log_min_value<rc_t>(), log_min_value<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(epsilon<rc_t>(), epsilon<long double>(), tol);
+      BOOST_CHECK_EQUAL(digits<rc_t>(), digits<long double>());
+   }
+
+   {
+      using namespace boost::math::constants;
+      BOOST_CHECK_CLOSE_FRACTION(pi<rc_t>(), pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_pi<rc_t>(), root_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_half_pi<rc_t>(), root_half_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_two_pi<rc_t>(), root_two_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_ln_four<rc_t>(), root_ln_four<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(half<rc_t>(), half<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(euler<rc_t>(), euler<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(root_two<rc_t>(), root_two<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(ln_two<rc_t>(), ln_two<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(ln_ln_two<rc_t>(), ln_ln_two<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(third<rc_t>(), third<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(twothirds<rc_t>(), twothirds<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(pi_minus_three<rc_t>(), pi_minus_three<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(four_minus_pi<rc_t>(), four_minus_pi<long double>(), tol);
+ //     BOOST_CHECK_CLOSE_FRACTION(pow23_four_minus_pi<rc_t>(), pow23_four_minus_pi<long double>(), tol);
+      BOOST_CHECK_CLOSE_FRACTION(exp_minus_half<rc_t>(), exp_minus_half<long double>(), tol);
+   }
+
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_real_concept_neg_bin.cpp b/src/boost/libs/math/test/test_real_concept_neg_bin.cpp
new file mode 100644
index 000000000..68ddba6c0
--- /dev/null
+++ b/src/boost/libs/math/test/test_real_concept_neg_bin.cpp
@@ -0,0 +1,52 @@
+// test_real_concept.cpp
+
+// Copyright Paul A. Bristow 2010.
+// Copyright John Maddock 2010.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Tests real_concept for Negative Binomial and Geometric Distribution.
+// find_upper_bound ...
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+using ::boost::math::concepts::real_concept;
+
+#include <boost/math/distributions/geometric.hpp> // for geometric_distribution
+using boost::math::geometric_distribution;
+using boost::math::geometric; // using typedef for geometric_distribution<double> 
+
+#include <boost/math/distributions/negative_binomial.hpp> // for some comparisons.
+
+#include <iostream>
+using std::cout;
+using std::endl;
+using std::setprecision;
+using std::showpoint;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void test_spot(RealType)
+{
+    using boost::math::negative_binomial_distribution;
+
+    // NOT boost::math::negative_binomial or boost::math::geometric 
+    // - because then you get the default negative_binomial_distribution<double>!!!
+
+    RealType k = static_cast<RealType>(2.L);
+    RealType alpha = static_cast<RealType>(0.05L);
+    RealType p = static_cast<RealType>(0.5L);
+    RealType result;
+    result = negative_binomial_distribution<RealType>::find_lower_bound_on_p(static_cast<RealType>(k), static_cast<RealType>(1), static_cast<RealType>(alpha));
+    result = negative_binomial_distribution<RealType>::find_lower_bound_on_p(k, 1, alpha);
+    result = geometric_distribution<RealType>::find_lower_bound_on_p(k, alpha);
+}
+
+int main()
+{
+  test_spot(boost::math::concepts::real_concept(0.)); // Test real concept.
+  return 0;
+} 
diff --git a/src/boost/libs/math/test/test_recurrence.cpp b/src/boost/libs/math/test/test_recurrence.cpp
new file mode 100644
index 000000000..9462452b1
--- /dev/null
+++ b/src/boost/libs/math/test/test_recurrence.cpp
@@ -0,0 +1,176 @@
+//  (C) Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE test_recurrences
+
+#include <boost/config.hpp>
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/tools/recurrence.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+//#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+
+#ifdef BOOST_MSVC
+#pragma warning(disable:4127)
+#endif
+
+template <class T>
+struct bessel_jy_recurrence
+{
+   bessel_jy_recurrence(T v, T z) : v(v), z(z) {}
+   boost::math::tuple<T, T, T> operator()(int k)const
+   {
+      return boost::math::tuple<T, T, T>(T(1), -2 * (v + k) / z, T(1));
+   }
+
+   T v, z;
+};
+
+template <class T>
+struct bessel_ik_recurrence
+{
+   bessel_ik_recurrence(T v, T z) : v(v), z(z) {}
+   boost::math::tuple<T, T, T> operator()(int k)const
+   {
+      return boost::math::tuple<T, T, T>(T(1), -2 * (v + k) / z, T(-1));
+   }
+
+   T v, z;
+};
+
+
+template <class T>
+void test_spots(T, const char* name)
+{
+   std::cout << "Running tests for type " << name << std::endl;
+   T tol = boost::math::tools::epsilon<T>() * 5;
+   if ((std::numeric_limits<T>::digits > 53) || (std::numeric_limits<T>::digits == 0))
+      tol *= 5;
+   //
+   // Test forward recurrence on Y_v(x):
+   //
+   {
+      T v = 22.25;
+      T x = 4.125;
+      bessel_jy_recurrence<T> coef(v, x);
+      T prev;
+      T first = boost::math::cyl_neumann(v - 1, x);
+      T second = boost::math::cyl_neumann(v, x);
+      T sixth = boost::math::tools::apply_recurrence_relation_forward(coef, 6, first, second, (int*)0, &prev);
+      T expected1 = boost::math::cyl_neumann(v + 6, x);
+      T expected2 = boost::math::cyl_neumann(v + 5, x);
+      BOOST_CHECK_CLOSE_FRACTION(sixth, expected1, tol);
+      BOOST_CHECK_CLOSE_FRACTION(prev, expected2, tol);
+
+      boost::math::tools::forward_recurrence_iterator< bessel_jy_recurrence<T> > it(coef, first, second);
+      for (unsigned i = 0; i < 15; ++i)
+      {
+         expected1 = boost::math::cyl_neumann(v + i, x);
+         T found = *it;
+         BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+         ++it;
+      }
+
+      if (std::numeric_limits<T>::max_exponent > 300)
+      {
+         //
+         // This calculates the ratio Y_v(x)/Y_v+1(x) from the recurrence relations
+         // which are only transiently stable since Y_v is not minimal as v->-INF
+         // but only as v->0.  We have to be sure that v is sufficiently large that
+         // convergence is complete before we reach the origin.
+         //
+         v = 102.75;
+         boost::uintmax_t max_iter = 200;
+         T ratio = boost::math::tools::function_ratio_from_forwards_recurrence(bessel_jy_recurrence<T>(v, x), boost::math::tools::epsilon<T>(), max_iter);
+         first = boost::math::cyl_neumann(v, x);
+         second = boost::math::cyl_neumann(v + 1, x);
+         BOOST_CHECK_CLOSE_FRACTION(ratio, first / second, tol);
+
+         boost::math::tools::forward_recurrence_iterator< bessel_jy_recurrence<T> > it2(bessel_jy_recurrence<T>(v, x), boost::math::cyl_neumann(v, x));
+         for (unsigned i = 0; i < 15; ++i)
+         {
+            expected1 = boost::math::cyl_neumann(v + i, x);
+            T found = *it2;
+            BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+            ++it2;
+         }
+      }
+
+   }
+   //
+   // Test backward recurrence on J_v(x):
+   //
+   {
+      if ((std::numeric_limits<T>::digits > 53) || !std::numeric_limits<T>::is_specialized)
+         tol *= 5;
+
+      T v = 22.25;
+      T x = 4.125;
+      bessel_jy_recurrence<T> coef(v, x);
+      T prev;
+      T first = boost::math::cyl_bessel_j(v + 1, x);
+      T second = boost::math::cyl_bessel_j(v, x);
+      T sixth = boost::math::tools::apply_recurrence_relation_backward(coef, 6, first, second, (int*)0, &prev);
+      T expected1 = boost::math::cyl_bessel_j(v - 6, x);
+      T expected2 = boost::math::cyl_bessel_j(v - 5, x);
+      BOOST_CHECK_CLOSE_FRACTION(sixth, expected1, tol);
+      BOOST_CHECK_CLOSE_FRACTION(prev, expected2, tol);
+
+      boost::math::tools::backward_recurrence_iterator< bessel_jy_recurrence<T> > it(coef, first, second);
+      for (unsigned i = 0; i < 15; ++i)
+      {
+         expected1 = boost::math::cyl_bessel_j(v - i, x);
+         T found = *it;
+         BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+         ++it;
+      }
+
+      boost::uintmax_t max_iter = 200;
+      T ratio = boost::math::tools::function_ratio_from_backwards_recurrence(bessel_jy_recurrence<T>(v, x), boost::math::tools::epsilon<T>(), max_iter);
+      first = boost::math::cyl_bessel_j(v, x);
+      second = boost::math::cyl_bessel_j(v - 1, x);
+      BOOST_CHECK_CLOSE_FRACTION(ratio, first / second, tol);
+
+      boost::math::tools::backward_recurrence_iterator< bessel_jy_recurrence<T> > it2(bessel_jy_recurrence<T>(v, x), boost::math::cyl_bessel_j(v, x));
+      //boost::math::tools::backward_recurrence_iterator< bessel_jy_recurrence<T> > it3(bessel_jy_recurrence<T>(v, x), boost::math::cyl_neumann(v+1, x), boost::math::cyl_neumann(v, x));
+      for (unsigned i = 0; i < 15; ++i)
+      {
+         expected1 = boost::math::cyl_bessel_j(v - i, x);
+         T found = *it2;
+         BOOST_CHECK_CLOSE_FRACTION(found, expected1, tol);
+         ++it2;
+      }
+
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+#if !defined(TEST) || TEST == 1
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#endif
+#if !defined(TEST) || TEST == 2 || TEST == 3
+   test_spots(boost::multiprecision::cpp_bin_float_quad(), "cpp_bin_float_quad");
+#endif
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_remez.cpp b/src/boost/libs/math/test/test_remez.cpp
new file mode 100644
index 000000000..cab1ca480
--- /dev/null
+++ b/src/boost/libs/math/test/test_remez.cpp
@@ -0,0 +1,187 @@
+//  Copyright John Maddock 2006
+//  Copyright Paul A. Bristow 2007
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4267) // conversion from 'size_t' to 'const unsigned int', possible loss of data
+#  pragma warning(disable : 4180) // qualifier applied to function type has no meaning; ignored
+#  pragma warning(disable : 4224) // nonstandard extension used : formal parameter 'function_ptr' was previously defined as a type
+#  pragma warning(disable : 4100) // unreferenced formal parameter (in ublas/functional)
+#endif
+
+#include <boost/math/tools/remez.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/expm1.hpp>
+#include <iostream>
+#include <iomanip>
+
+
+void test_polynomial()
+{
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   double (*f)(double) = boost::math::expm1<double>;
+#else
+   double (*f)(double) = boost::math::expm1;
+#endif
+   std::cout << "Testing expm1 approximation, pinned to origin, absolute error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx1(f, 6, 0, -1, 1, true, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx1.iterate();
+      std::cout << approx1.error_term() << " " << approx1.max_error() << " " << approx1.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing expm1 approximation, pinned to origin, relative error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx2(f, 6, 0, -1, 1, true, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx2.iterate();
+      std::cout << approx2.error_term() << " " << approx2.max_error() << " " << approx2.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::exp;
+   std::cout << "Testing exp approximation, not pinned to origin, absolute error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx3(f, 6, 0, -1, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx3.iterate();
+      std::cout << approx3.error_term() << " " << approx3.max_error() << " " << approx3.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing exp approximation, not pinned to origin, relative error, 6 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx4(f, 6, 0, -1, 1, false, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx4.iterate();
+      std::cout << approx4.error_term() << " " << approx4.max_error() << " " << approx4.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::cos;
+   std::cout << "Testing cos approximation, not pinned to origin, absolute error, 5 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx5(f, 5, 0, -1, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx5.iterate();
+      std::cout << approx5.error_term() << " " << approx5.max_error() << " " << approx5.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing cos approximation, not pinned to origin, relative error, 5 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx6(f, 5, 0, -1, 1, false, true);
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx6.iterate();
+      std::cout << approx6.error_term() << " " << approx6.max_error() << " " << approx6.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::sin;
+   std::cout << "Testing sin approximation, pinned to origin, absolute error, 4 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx7(f, 4, 0, 0, 1, true, false);
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx7.iterate();
+      std::cout << approx7.error_term() << " " << approx7.max_error() << " " << approx7.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing sin approximation, pinned to origin, relative error, 4 term polynomial\n";
+   boost::math::tools::remez_minimax<double> approx8(f, 4, 0, 0, 1, true, true);
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx8.iterate();
+      std::cout << approx8.error_term() << " " << approx8.max_error() << " " << approx8.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+}
+
+void test_rational()
+{
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   double (*f)(double) = boost::math::expm1<double>;
+#else
+   double (*f)(double) = boost::math::expm1;
+#endif
+   std::cout << "Testing expm1 approximation, pinned to origin, absolute error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx1(f, 3, 3, -1, 1, true, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx1.iterate();
+      std::cout << approx1.error_term() << " " << approx1.max_error() << " " << approx1.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+#if 0
+   //
+   // This one causes UBLAS to fail on some systems, so disabled for now.
+   //
+   std::cout << "Testing expm1 approximation, pinned to origin, relative error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx2(f, 3, 3, -1, 1, true, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx2.iterate();
+      std::cout << approx2.error_term() << " " << approx2.max_error() << " " << approx2.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+#endif
+   f = std::exp;
+   std::cout << "Testing exp approximation, not pinned to origin, absolute error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx3(f, 3, 3, -1, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx3.iterate();
+      std::cout << approx3.error_term() << " " << approx3.max_error() << " " << approx3.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing exp approximation, not pinned to origin, relative error, 3+3 term rational\n";
+   boost::math::tools::remez_minimax<double> approx4(f, 3, 3, -1, 1, false, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx4.iterate();
+      std::cout << approx4.error_term() << " " << approx4.max_error() << " " << approx4.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+
+   f = std::cos;
+   std::cout << "Testing cos approximation, not pinned to origin, absolute error, 2+2 term rational\n";
+   boost::math::tools::remez_minimax<double> approx5(f, 2, 2, 0, 1, false, false);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx5.iterate();
+      std::cout << approx5.error_term() << " " << approx5.max_error() << " " << approx5.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+   std::cout << "Testing cos approximation, not pinned to origin, relative error, 2+2 term rational\n";
+   boost::math::tools::remez_minimax<double> approx6(f, 2, 2, 0, 1, false, true);
+   std::cout << "Interpolation Error: " << approx1.max_error() << std::endl;
+   for(unsigned i = 0; i < 7; ++i)
+   {
+      approx6.iterate();
+      std::cout << approx6.error_term() << " " << approx6.max_error() << " " << approx6.max_change() << std::endl;
+   }
+   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~" << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_polynomial();
+   test_rational();
+   
+}
+
+
diff --git a/src/boost/libs/math/test/test_root_finding_concepts.cpp b/src/boost/libs/math/test/test_root_finding_concepts.cpp
new file mode 100644
index 000000000..60543f92a
--- /dev/null
+++ b/src/boost/libs/math/test/test_root_finding_concepts.cpp
@@ -0,0 +1,254 @@
+// Copyright John Maddock 2014
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/tuple/tuple.hpp>
+#include <boost/fusion/include/tuple.hpp>
+#include <boost/fusion/include/std_pair.hpp>
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+#include <tuple>
+#endif
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+#include <boost/math/tools/roots.hpp>
+
+//
+// We'll use cbrt as an example:
+//
+struct cbtr_functor_1
+{
+   cbtr_functor_1(double x) : m_target(x) {}
+   double operator()(double x)
+   {
+      return x * x * x - m_target;
+   }
+private:
+   double m_target;
+};
+
+struct cbtr_functor_2a
+{
+   cbtr_functor_2a(double x) : m_target(x) {}
+   std::pair<double, double> operator()(double x)
+   {
+      return std::make_pair(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+struct cbtr_functor_2b
+{
+   cbtr_functor_2b(double x) : m_target(x) {}
+   std::tuple<double, double> operator()(double x)
+   {
+      return std::tuple<double, double>(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+#endif
+struct cbtr_functor_2c
+{
+   cbtr_functor_2c(double x) : m_target(x) {}
+   boost::tuple<double, double> operator()(double x)
+   {
+      return boost::tuple<double, double>(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+struct cbtr_functor_2d
+{
+   cbtr_functor_2d(double x) : m_target(x) {}
+   boost::fusion::tuple<double, double> operator()(double x)
+   {
+      return boost::fusion::tuple<double, double>(x * x * x - m_target, 3 * x * x);
+   }
+private:
+   double m_target;
+};
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+struct cbtr_functor_3b
+{
+   cbtr_functor_3b(double x) : m_target(x) {}
+   std::tuple<double, double, double> operator()(double x)
+   {
+      return std::tuple<double, double, double>(x * x * x - m_target, 3 * x * x, 6 * x);
+   }
+private:
+   double m_target;
+};
+#endif
+struct cbtr_functor_3c
+{
+   cbtr_functor_3c(double x) : m_target(x) {}
+   boost::tuple<double, double, double> operator()(double x)
+   {
+      return boost::tuple<double, double, double>(x * x * x - m_target, 3 * x * x, 6 * x);
+   }
+private:
+   double m_target;
+};
+struct cbtr_functor_3d
+{
+   cbtr_functor_3d(double x) : m_target(x) {}
+   boost::fusion::tuple<double, double, double> operator()(double x)
+   {
+      return boost::fusion::tuple<double, double, double>(x * x * x - m_target, 3 * x * x, 6 * x);
+   }
+private:
+   double m_target;
+};
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   double x = 27;
+   double expected = 3;
+   double result;
+   double tolerance = std::numeric_limits<double>::epsilon() * 5;
+   std::pair<double, double> p;
+   //
+   // Start by trying the unary functors, bisect first:
+   //
+   cbtr_functor_1 f1(x);
+   boost::math::tools::eps_tolerance<double> t(std::numeric_limits<double>::digits - 1);
+   p = boost::math::tools::bisect(f1, 0.0, x, t);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // bracket_and_solve_root:
+   //
+   boost::uintmax_t max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::bracket_and_solve_root(f1, x, 2.0, true, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // toms748_solve:
+   //
+   max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::toms748_solve(f1, 0.0, x, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+
+#ifndef BOOST_NO_CXX11_LAMBDAS
+   //
+   // Now try again with C++11 lambda's
+   //
+   p = boost::math::tools::bisect([x](double z){ return z * z * z - x; }, 0.0, x, t);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // bracket_and_solve_root:
+   //
+   max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::bracket_and_solve_root([x](double z){ return z * z * z - x; }, x, 2.0, true, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // toms748_solve:
+   //
+   max_iter = boost::math::policies::get_max_root_iterations<boost::math::policies::policy<> >();
+   p = boost::math::tools::toms748_solve([x](double z){ return z * z * z - x; }, 0.0, x, t, max_iter);
+   result = (p.first + p.second) / 2;
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+
+   cbtr_functor_2a f2(x);
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   cbtr_functor_2b f3(x);
+#endif
+   cbtr_functor_2c f4(x);
+   cbtr_functor_2d f5(x);
+
+   //
+   // Binary Functors - newton_raphson_iterate - test each possible tuple type:
+   //
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::newton_raphson_iterate(f2, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::newton_raphson_iterate(f3, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::newton_raphson_iterate(f4, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::newton_raphson_iterate(f5, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   //
+   // And again but with lambdas:
+   //
+#ifndef BOOST_NO_CXX11_LAMBDAS
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return std::make_pair(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return std::make_tuple(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return boost::tuple<double, double>(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::newton_raphson_iterate([x](double z){ return boost::fusion::tuple<double, double>(z * z * z - x, 3 * z * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   cbtr_functor_3b f6(x);
+#endif
+   cbtr_functor_3c f7(x);
+   cbtr_functor_3d f8(x);
+
+   //
+   // Ternary functors:
+   //
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::halley_iterate(f6, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::halley_iterate(f7, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::halley_iterate(f8, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#ifndef BOOST_NO_CXX11_LAMBDAS
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::halley_iterate([x](double z){ return std::make_tuple(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::halley_iterate([x](double z){ return boost::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::halley_iterate([x](double z){ return boost::fusion::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::schroder_iterate(f6, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::schroder_iterate(f7, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::schroder_iterate(f8, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#ifndef BOOST_NO_CXX11_LAMBDAS
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+   result = boost::math::tools::schroder_iterate([x](double z){ return std::make_tuple(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+   result = boost::math::tools::schroder_iterate([x](double z){ return boost::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+   result = boost::math::tools::schroder_iterate([x](double z){ return boost::fusion::tuple<double, double, double>(z * z * z - x, 3 * z * z, 6 * z); }, x, 0.0, x, std::numeric_limits<double>::digits - 1);
+   BOOST_CHECK_CLOSE_FRACTION(expected, result, tolerance);
+#endif
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_root_iterations.cpp b/src/boost/libs/math/test/test_root_iterations.cpp
new file mode 100644
index 000000000..e559617c7
--- /dev/null
+++ b/src/boost/libs/math/test/test_root_iterations.cpp
@@ -0,0 +1,325 @@
+//  (C) Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#ifndef BOOST_NO_CXX11_HDR_TUPLE
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/cbrt.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <iostream>
+#include <iomanip>
+#include <tuple>
+#include "table_type.hpp"
+
+// No derivatives - using TOMS748 internally.
+struct cbrt_functor_noderiv
+{ //  cube root of x using only function - no derivatives.
+   cbrt_functor_noderiv(double to_find_root_of) : a(to_find_root_of)
+   { // Constructor just stores value a to find root of.
+   }
+   double operator()(double x)
+   {
+      double fx = x*x*x - a; // Difference (estimate x^3 - a).
+      return fx;
+   }
+private:
+   double a; // to be 'cube_rooted'.
+}; // template <class T> struct cbrt_functor_noderiv
+
+// Using 1st derivative only Newton-Raphson
+struct cbrt_functor_deriv
+{ // Functor also returning 1st derivative.
+   cbrt_functor_deriv(double const& to_find_root_of) : a(to_find_root_of)
+   { // Constructor stores value a to find root of,
+      // for example: calling cbrt_functor_deriv<double>(x) to use to get cube root of x.
+   }
+   std::pair<double, double> operator()(double const& x)
+   { // Return both f(x) and f'(x).
+      double fx = x*x*x - a; // Difference (estimate x^3 - value).
+      double dx = 3 * x*x; // 1st derivative = 3x^2.
+      return std::make_pair(fx, dx); // 'return' both fx and dx.
+   }
+private:
+   double a; // to be 'cube_rooted'.
+};
+// Using 1st and 2nd derivatives with Halley algorithm.
+struct cbrt_functor_2deriv
+{ // Functor returning both 1st and 2nd derivatives.
+   cbrt_functor_2deriv(double const& to_find_root_of) : a(to_find_root_of)
+   { // Constructor stores value a to find root of, for example:
+      // calling cbrt_functor_2deriv<double>(x) to get cube root of x,
+   }
+   std::tuple<double, double, double> operator()(double const& x)
+   { // Return both f(x) and f'(x) and f''(x).
+      double fx = x*x*x - a; // Difference (estimate x^3 - value).
+      double dx = 3 * x*x; // 1st derivative = 3x^2.
+      double d2x = 6 * x; // 2nd derivative = 6x.
+      return std::make_tuple(fx, dx, d2x); // 'return' fx, dx and d2x.
+   }
+private:
+   double a; // to be 'cube_rooted'.
+};
+
+template <class T, class Policy>
+struct ibeta_roots_1   // for first order algorithms
+{
+   ibeta_roots_1(T _a, T _b, T t, bool inv = false)
+      : a(_a), b(_b), target(t), invert(inv) {}
+
+   T operator()(const T& x)
+   {
+      return boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+   }
+private:
+   T a, b, target;
+   bool invert;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_2   // for second order algorithms
+{
+   ibeta_roots_2(T _a, T _b, T t, bool inv = false)
+      : a(_a), b(_b), target(t), invert(inv) {}
+
+   boost::math::tuple<T, T> operator()(const T& x)
+   {
+      typedef boost::math::lanczos::lanczos<T, Policy> S;
+      typedef typename S::type L;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+         -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+         : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if (y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+
+      // make sure we don't have a zero derivative:
+      if (f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      return boost::math::make_tuple(f, f1);
+   }
+private:
+   T a, b, target;
+   bool invert;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_3   // for third order algorithms
+{
+   ibeta_roots_3(T _a, T _b, T t, bool inv = false)
+      : a(_a), b(_b), target(t), invert(inv) {}
+
+   boost::math::tuple<T, T, T> operator()(const T& x)
+   {
+      typedef typename boost::math::lanczos::lanczos<T, Policy>::type L;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+         -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+         : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if (y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+      T f2 = f1 * (-y * a + (b - 2) * x + 1) / (y * x);
+      if (invert)
+         f2 = -f2;
+
+      // make sure we don't have a zero derivative:
+      if (f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      return boost::math::make_tuple(f, f1, f2);
+   }
+private:
+   T a, b, target;
+   bool invert;
+};
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   int newton_limits = static_cast<int>(std::numeric_limits<double>::digits * 0.6);
+
+   double arg = 1e-50;
+   boost::uintmax_t iters;
+   double guess;
+   double dr;
+
+   while(arg < 1e50)
+   {
+      double result = boost::math::cbrt(arg);
+      //
+      // Start with a really bad guess 5 times below the result:
+      //
+      guess = result / 5;
+      iters = 1000;
+      // TOMS algo first:
+      std::pair<double, double> r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 14);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, guess / 2, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 12);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 7);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 11);
+      //
+      // Over again with a bad guess 5 times larger than the result:
+      //
+      iters = 1000;
+      guess = result * 5;
+      r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 14);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 12);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 7);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 11);
+      //
+      // A much better guess, 1% below result:
+      //
+      iters = 1000;
+      guess = result * 0.9;
+      r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 12);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 5);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 3);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 4);
+      //
+      // A much better guess, 1% above result:
+      //
+      iters = 1000;
+      guess = result * 1.1;
+      r = boost::math::tools::bracket_and_solve_root(cbrt_functor_noderiv(arg), guess, 2.0, true, boost::math::tools::eps_tolerance<double>(), iters);
+      BOOST_CHECK_CLOSE_FRACTION((r.first + r.second) / 2, result, std::numeric_limits<double>::epsilon() * 4);
+      BOOST_CHECK_LE(iters, 12);
+      // Newton next:
+      iters = 1000;
+      dr = boost::math::tools::newton_raphson_iterate(cbrt_functor_deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 5);
+      // Halley next:
+      iters = 1000;
+      dr = boost::math::tools::halley_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 3);
+      // Schroder next:
+      iters = 1000;
+      dr = boost::math::tools::schroder_iterate(cbrt_functor_2deriv(arg), guess, result / 10, result * 10, newton_limits, iters);
+      BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 2);
+      BOOST_CHECK_LE(iters, 4);
+
+      arg *= 3.5;
+   }
+
+   //
+   // Test ibeta as this triggers all the pathological cases!
+   //
+#ifndef SC_
+#define SC_(x) x
+#endif
+#define T double
+
+#  include "ibeta_small_data.ipp"
+
+   for (unsigned i = 0; i < ibeta_small_data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if (ibeta_small_data[i][5] == 0)
+      {
+         iters = 1000;
+         dr = boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 0.0);
+         BOOST_CHECK_LE(iters, 27);
+         iters = 1000;
+         dr = boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 0.0);
+         BOOST_CHECK_LE(iters, 10);
+      }
+      else if ((1 - ibeta_small_data[i][5] > 0.001)
+         && (fabs(ibeta_small_data[i][5]) > 2 * boost::math::tools::min_value<double>()))
+      {
+         iters = 1000;
+         double result = ibeta_small_data[i][2];
+         dr = boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 200);
+#if defined(BOOST_MSVC) && (BOOST_MSVC == 1600)
+         BOOST_CHECK_LE(iters, 40);
+#else
+         BOOST_CHECK_LE(iters, 27);
+#endif
+         iters = 1000;
+         result = ibeta_small_data[i][2];
+         dr = boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_CLOSE_FRACTION(dr, result, std::numeric_limits<double>::epsilon() * 200);
+         BOOST_CHECK_LE(iters, 40);
+      }
+      else if (1 == ibeta_small_data[i][5])
+      {
+         iters = 1000;
+         dr = boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 1.0);
+         BOOST_CHECK_LE(iters, 27);
+         iters = 1000;
+         dr = boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(ibeta_small_data[i][0], ibeta_small_data[i][1], ibeta_small_data[i][5]), 0.5, 0.0, 1.0, 53, iters);
+         BOOST_CHECK_EQUAL(dr, 1.0);
+         BOOST_CHECK_LE(iters, 10);
+      }
+   }
+
+}
+
+#else
+
+int main() { return 0; }
+
+#endif
diff --git a/src/boost/libs/math/test/test_roots.cpp b/src/boost/libs/math/test/test_roots.cpp
new file mode 100644
index 000000000..eef307216
--- /dev/null
+++ b/src/boost/libs/math/test/test_roots.cpp
@@ -0,0 +1,663 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <boost/math/distributions/skew_normal.hpp>
+#include <boost/math/tools/polynomial.hpp>
+#include <boost/math/tools/roots.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/array.hpp>
+#include <boost/type_index.hpp>
+#include "table_type.hpp"
+#include <iostream>
+#include <iomanip>
+
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+#define BOOST_CHECK_CLOSE_EX(a, b, prec, i) \
+   {\
+      unsigned int failures = boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed;\
+      BOOST_CHECK_CLOSE(a, b, prec); \
+      if(failures != boost::unit_test::results_collector.results( boost::unit_test::framework::current_test_case().p_id ).p_assertions_failed)\
+      {\
+         std::cerr << "Failure was at row " << i << std::endl;\
+         std::cerr << std::setprecision(35); \
+         std::cerr << "{ " << data[i][0] << " , " << data[i][1] << " , " << data[i][2];\
+         std::cerr << " , " << data[i][3] << " , " << data[i][4] << " , " << data[i][5] << " } " << std::endl;\
+      }\
+   }
+
+
+//
+// Implement various versions of inverse of the incomplete beta
+// using different root finding algorithms, and deliberately "bad"
+// starting conditions: that way we get all the pathological cases
+// we could ever wish for!!!
+//
+
+template <class T, class Policy>
+struct ibeta_roots_1   // for first order algorithms
+{
+   ibeta_roots_1(T _a, T _b, T t, bool inv = false, bool neg = false)
+      : a(_a), b(_b), target(t), invert(inv), neg(neg) {}
+
+   T operator()(const T& x)
+   {
+      return boost::math::detail::ibeta_imp(a, b, (neg ? -x : x), Policy(), invert, true) - target;
+   }
+private:
+   T a, b, target;
+   bool invert, neg;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_2   // for second order algorithms
+{
+   ibeta_roots_2(T _a, T _b, T t, bool inv = false, bool neg = false)
+      : a(_a), b(_b), target(t), invert(inv), neg(neg) {}
+
+   boost::math::tuple<T, T> operator()(const T& xx)
+   {
+      typedef typename boost::math::lanczos::lanczos<T, Policy>::type L;
+      T x = neg ? -xx : xx;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+         -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+               : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if(y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+
+      // make sure we don't have a zero derivative:
+      if(f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      return boost::math::make_tuple(f, neg ? -f1 : f1);
+   }
+private:
+   T a, b, target;
+   bool invert, neg;
+};
+
+template <class T, class Policy>
+struct ibeta_roots_3   // for third order algorithms
+{
+   ibeta_roots_3(T _a, T _b, T t, bool inv = false, bool neg = false)
+      : a(_a), b(_b), target(t), invert(inv), neg(neg) {}
+
+   boost::math::tuple<T, T, T> operator()(const T& xx)
+   {
+      typedef typename boost::math::lanczos::lanczos<T, Policy>::type L;
+      T x = neg ? -xx : xx;
+      T f = boost::math::detail::ibeta_imp(a, b, x, Policy(), invert, true) - target;
+      T f1 = invert ?
+               -boost::math::detail::ibeta_power_terms(b, a, 1 - x, x, L(), true, Policy())
+               : boost::math::detail::ibeta_power_terms(a, b, x, 1 - x, L(), true, Policy());
+      T y = 1 - x;
+      if(y == 0)
+         y = boost::math::tools::min_value<T>() * 8;
+      f1 /= y * x;
+      T f2 = f1 * (-y * a + (b - 2) * x + 1) / (y * x);
+      if(invert)
+         f2 = -f2;
+
+      // make sure we don't have a zero derivative:
+      if(f1 == 0)
+         f1 = (invert ? -1 : 1) * boost::math::tools::min_value<T>() * 64;
+
+      if (neg)
+      {
+         f1 = -f1;
+      }
+
+      return boost::math::make_tuple(f, f1, f2);
+   }
+private:
+   T a, b, target;
+   bool invert, neg;
+};
+
+double inverse_ibeta_bisect(double a, double b, double z)
+{
+   typedef boost::math::policies::policy<> pol;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   boost::math::tools::eps_tolerance<double> tol(precision);
+   return boost::math::tools::bisect(ibeta_roots_1<double, pol>(a, b, z, invert), min, max, tol).first;
+}
+
+double inverse_ibeta_bisect_neg(double a, double b, double z)
+{
+   typedef boost::math::policies::policy<> pol;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = -1;
+   double max = 0;
+   boost::math::tools::eps_tolerance<double> tol(precision);
+   return -boost::math::tools::bisect(ibeta_roots_1<double, pol>(a, b, z, invert, true), min, max, tol).first;
+}
+
+double inverse_ibeta_newton(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   return boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(a, b, z, invert), guess, min, max, precision);
+}
+
+double inverse_ibeta_newton_neg(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = -1;
+   double max = 0;
+   return -boost::math::tools::newton_raphson_iterate(ibeta_roots_2<double, boost::math::policies::policy<> >(a, b, z, invert, true), -guess, min, max, precision);
+}
+
+double inverse_ibeta_halley(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   return boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(a, b, z, invert), guess, min, max, precision);
+}
+
+double inverse_ibeta_halley_neg(double a, double b, double z)
+{
+   double guess = -0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = -1;
+   double max = 0;
+   return -boost::math::tools::halley_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(a, b, z, invert, true), guess, min, max, precision);
+}
+
+double inverse_ibeta_schroder(double a, double b, double z)
+{
+   double guess = 0.5;
+   bool invert = false;
+   int bits = std::numeric_limits<double>::digits;
+
+   //
+   // special cases, we need to have these because there may be other
+   // possible answers:
+   //
+   if(z == 1) return 1;
+   if(z == 0) return 0;
+
+   //
+   // We need a good estimate of the error in the incomplete beta function
+   // so that we don't set the desired precision too high.  Assume that 3-bits
+   // are lost each time the arguments increase by a factor of 10:
+   //
+   using namespace std;
+   int bits_lost = static_cast<int>(ceil(log10((std::max)(a, b)) * 3));
+   if(bits_lost < 0)
+      bits_lost = 3;
+   else
+      bits_lost += 3;
+   int precision = bits - bits_lost;
+
+   double min = 0;
+   double max = 1;
+   return boost::math::tools::schroder_iterate(ibeta_roots_3<double, boost::math::policies::policy<> >(a, b, z, invert), guess, min, max, precision);
+}
+
+
+template <class Real, class T>
+void test_inverses(const T& data)
+{
+   using namespace std;
+   typedef Real                   value_type;
+
+   value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 150;
+   if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
+      precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated
+
+   for(unsigned i = 0; i < data.size(); ++i)
+   {
+      //
+      // These inverse tests are thrown off if the output of the
+      // incomplete beta is too close to 1: basically there is insuffient
+      // information left in the value we're using as input to the inverse
+      // to be able to get back to the original value.
+      //
+      if(data[i][5] == 0)
+      {
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_schroder(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0));
+      }
+      else if((1 - data[i][5] > 0.001)
+         && (fabs(data[i][5]) > 2 * boost::math::tools::min_value<value_type>())
+         && (fabs(data[i][5]) > 2 * boost::math::tools::min_value<double>()))
+      {
+         value_type inv = inverse_ibeta_halley(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_halley_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_ASSERT(boost::math::isfinite(inv));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_schroder(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_newton(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_newton_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_bisect(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+         inv = inverse_ibeta_bisect_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5]));
+         BOOST_CHECK_CLOSE_EX(Real(data[i][2]), inv, precision, i);
+      }
+      else if(1 == data[i][5])
+      {
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_halley_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_schroder(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_newton_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+         BOOST_CHECK_EQUAL(inverse_ibeta_bisect_neg(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1));
+      }
+
+   }
+}
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class T>
+void test_beta(T, const char* /* name */)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
+   //
+#  include "ibeta_small_data.ipp"
+
+   test_inverses<T>(ibeta_small_data);
+
+#  include "ibeta_data.ipp"
+
+   test_inverses<T>(ibeta_data);
+
+#  include "ibeta_large_data.ipp"
+
+   test_inverses<T>(ibeta_large_data);
+}
+
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_LAMBDAS)
+template <class Complex>
+void test_complex_newton()
+{
+    typedef typename Complex::value_type Real;
+    std::cout << "Testing complex Newton's Method on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    using std::abs;
+    using std::sqrt;
+    using boost::math::tools::complex_newton;
+    using boost::math::tools::polynomial;
+    using boost::math::constants::half;
+
+    Real tol = std::numeric_limits<Real>::epsilon();
+    // p(z) = z^2 + 1, roots: \pm i.
+    polynomial<Complex> p{{1,0}, {0, 0}, {1,0}};
+    Complex guess{1,1};
+    polynomial<Complex> p_prime = p.prime();
+    auto f = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    Complex root = complex_newton(f, guess);
+
+    BOOST_CHECK(abs(root.real()) <= tol);
+    BOOST_CHECK_CLOSE(root.imag(), (Real)1, tol);
+
+    guess = -guess;
+    root = complex_newton(f, guess);
+    BOOST_CHECK(abs(root.real()) <= tol);
+    BOOST_CHECK_CLOSE(root.imag(), (Real)-1, tol);
+
+    // Test that double roots are handled correctly-as correctly as possible.
+    // Convergence at a double root is not quadratic.
+    // This sets p = (z-i)^2:
+    p = polynomial<Complex>({{-1,0}, {0,-2}, {1,0}});
+    p_prime = p.prime();
+    guess = -guess;
+    auto g = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g, guess);
+    BOOST_CHECK(abs(root.real()) < 10*sqrt(tol));
+    BOOST_CHECK_CLOSE(root.imag(), (Real)1, tol);
+
+    // Test that zero derivatives are handled.
+    // p(z) = z^2 + iz + 1
+    p = polynomial<Complex>({{1,0}, {0,1}, {1,0}});
+    // p'(z) = 2z + i
+    p_prime = p.prime();
+    guess = Complex(0,-boost::math::constants::half<Real>());
+    auto g2 = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g2, guess);
+
+    // Here's the other root, in case code changes cause it to be found:
+    //Complex expected_root1{0, half<Real>()*(sqrt(static_cast<Real>(5)) - static_cast<Real>(1))};
+    Complex expected_root2{0, -half<Real>()*(sqrt(static_cast<Real>(5)) + static_cast<Real>(1))};
+
+    BOOST_CHECK_CLOSE(expected_root2.imag(),root.imag(), tol);
+    BOOST_CHECK(abs(root.real()) < tol);
+
+    // Does a zero root pass the termination criteria?
+    p = polynomial<Complex>({{0,0}, {0,0}, {1,0}});
+    p_prime = p.prime();
+    guess = Complex(0, -boost::math::constants::half<Real>());
+    auto g3 = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g3, guess);
+    BOOST_CHECK(abs(root.real()) < tol);
+
+    // Does a monstrous root pass?
+    Real x = -pow(static_cast<Real>(10), 20);
+    p = polynomial<Complex>({{x, x}, {1,0}});
+    p_prime = p.prime();
+    guess = Complex(0, -boost::math::constants::half<Real>());
+    auto g4 = [&](Complex z) { return std::make_pair<Complex, Complex>(p(z), p_prime(z)); };
+    root = complex_newton(g4, guess);
+    BOOST_CHECK(abs(root.real() + x) < tol);
+    BOOST_CHECK(abs(root.imag() + x) < tol);
+
+}
+
+// Polynomials which didn't factorize using Newton's method at first:
+void test_daubechies_fails()
+{
+    std::cout << "Testing failures from Daubechies filter computation.\n";
+    using std::abs;
+    using std::sqrt;
+    using boost::math::tools::complex_newton;
+    using boost::math::tools::polynomial;
+    using boost::math::constants::half;
+
+    double tol = 500*std::numeric_limits<double>::epsilon();
+    polynomial<std::complex<double>> p{{-185961388.136908293,141732493.98435241}, {601080390,0}};
+    std::complex<double> guess{1,1};
+    polynomial<std::complex<double>> p_prime = p.prime();
+    auto f = [&](std::complex<double> z) { return std::make_pair<std::complex<double>, std::complex<double>>(p(z), p_prime(z)); };
+    std::complex<double> root = complex_newton(f, guess);
+
+    std::complex<double> expected_root = -p.data()[0]/p.data()[1];
+    BOOST_CHECK_CLOSE(expected_root.imag(), root.imag(), tol);
+    BOOST_CHECK_CLOSE(expected_root.real(), root.real(), tol);
+}
+#endif
+
+#if !defined(BOOST_NO_CXX17_IF_CONSTEXPR)
+template<class Real>
+void test_solve_real_quadratic()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    using boost::math::tools::quadratic_roots;
+    auto [x0, x1] = quadratic_roots<Real>(1, 0, -1);
+    BOOST_CHECK_CLOSE(x0, Real(-1), tol);
+    BOOST_CHECK_CLOSE(x1, Real(1), tol);
+
+    auto p = quadratic_roots((Real)7, (Real)0, (Real)0);
+    BOOST_CHECK_SMALL(p.first, tol);
+    BOOST_CHECK_SMALL(p.second, tol);
+
+    // (x-7)^2 = x^2 - 14*x + 49:
+    p = quadratic_roots((Real)1, (Real)-14, (Real)49);
+    BOOST_CHECK_CLOSE(p.first, Real(7), tol);
+    BOOST_CHECK_CLOSE(p.second, Real(7), tol);
+
+    // This test does not pass in multiprecision,
+    // due to the fact it does not have an fma:
+    if (std::is_floating_point<Real>::value)
+    {
+        // (x-1)(x-1-eps) = x^2 + (-eps - 2)x + (1)(1+eps)
+        Real eps = 2*std::numeric_limits<Real>::epsilon();
+        Real b = 256 * (-2 - eps);
+        Real c = 256 * (1 + eps);
+        p = quadratic_roots((Real)256, b, c);
+        BOOST_CHECK_CLOSE(p.first, Real(1), tol);
+        BOOST_CHECK_CLOSE(p.second, Real(1) + eps, tol);
+    }
+
+    if (std::is_same<Real, double>::value)
+    {
+        // Kahan's example: This is the test that demonstrates the necessity of the fma instruction.
+        // https://en.wikipedia.org/wiki/Loss_of_significance#Instability_of_the_quadratic_equation
+        p = quadratic_roots<Real>((Real)94906265.625, (Real )-189812534, (Real)94906268.375);
+        BOOST_CHECK_CLOSE_FRACTION(p.first, Real(1), tol);
+        BOOST_CHECK_CLOSE_FRACTION(p.second, 1.000000028975958, 4*tol);
+    }
+}
+
+template<class Z>
+void test_solve_int_quadratic()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    using boost::math::tools::quadratic_roots;
+    auto [x0, x1] = quadratic_roots(1, 0, -1);
+    BOOST_CHECK_CLOSE(x0, double(-1), tol);
+    BOOST_CHECK_CLOSE(x1, double(1), tol);
+
+    auto p = quadratic_roots(7, 0, 0);
+    BOOST_CHECK_SMALL(p.first, tol);
+    BOOST_CHECK_SMALL(p.second, tol);
+
+    // (x-7)^2 = x^2 - 14*x + 49:
+    p = quadratic_roots(1, -14, 49);
+    BOOST_CHECK_CLOSE(p.first, double(7), tol);
+    BOOST_CHECK_CLOSE(p.second, double(7), tol);
+}
+
+template<class Complex>
+void test_solve_complex_quadratic()
+{
+    using Real = typename Complex::value_type;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    using boost::math::tools::quadratic_roots;
+    auto [x0, x1] = quadratic_roots<Complex>({1,0}, {0,0}, {-1,0});
+    BOOST_CHECK_CLOSE(x0.real(), Real(-1), tol);
+    BOOST_CHECK_CLOSE(x1.real(), Real(1), tol);
+    BOOST_CHECK_SMALL(x0.imag(), tol);
+    BOOST_CHECK_SMALL(x1.imag(), tol);
+
+    auto p = quadratic_roots<Complex>({7,0}, {0,0}, {0,0});
+    BOOST_CHECK_SMALL(p.first.real(), tol);
+    BOOST_CHECK_SMALL(p.second.real(), tol);
+
+    // (x-7)^2 = x^2 - 14*x + 49:
+    p = quadratic_roots<Complex>({1,0}, {-14,0}, {49,0});
+    BOOST_CHECK_CLOSE(p.first.real(), Real(7), tol);
+    BOOST_CHECK_CLOSE(p.second.real(), Real(7), tol);
+
+}
+
+#endif
+
+void test_failures()
+{
+#if !defined(BOOST_NO_CXX11_LAMBDAS)
+   // There is no root:
+   BOOST_CHECK_THROW(boost::math::tools::newton_raphson_iterate([](double x) { return std::make_pair(x * x + 1, 2 * x); }, 10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   BOOST_CHECK_THROW(boost::math::tools::newton_raphson_iterate([](double x) { return std::make_pair(x * x + 1, 2 * x); }, -10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   // There is a root, but a bad guess takes us into a local minima:
+   BOOST_CHECK_THROW(boost::math::tools::newton_raphson_iterate([](double x) { return std::make_pair(boost::math::pow<6>(x) - 2 * boost::math::pow<4>(x) + x + 0.5, 6 * boost::math::pow<5>(x) - 8 * boost::math::pow<3>(x) + 1); }, 0.75, -20., 20., 52), boost::math::evaluation_error);
+
+   // There is no root:
+   BOOST_CHECK_THROW(boost::math::tools::halley_iterate([](double x) { return std::make_tuple(x * x + 1, 2 * x, 2); }, 10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   BOOST_CHECK_THROW(boost::math::tools::halley_iterate([](double x) { return std::make_tuple(x * x + 1, 2 * x, 2); }, -10.0, -12.0, 12.0, 52), boost::math::evaluation_error);
+   // There is a root, but a bad guess takes us into a local minima:
+   BOOST_CHECK_THROW(boost::math::tools::halley_iterate([](double x) { return std::make_tuple(boost::math::pow<6>(x) - 2 * boost::math::pow<4>(x) + x + 0.5, 6 * boost::math::pow<5>(x) - 8 * boost::math::pow<3>(x) + 1, 30 * boost::math::pow<4>(x) - 24 * boost::math::pow<2>(x)); }, 0.75, -20., 20., 52), boost::math::evaluation_error);
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+   test_beta(0.1, "double");
+
+#if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_LAMBDAS)
+   test_complex_newton<std::complex<float>>();
+   test_complex_newton<std::complex<double>>();
+   test_complex_newton<boost::multiprecision::cpp_complex_100>();
+   test_daubechies_fails();
+#endif
+
+#if !defined(BOOST_NO_CXX17_IF_CONSTEXPR)
+    test_solve_real_quadratic<float>();
+    test_solve_real_quadratic<double>();
+    test_solve_real_quadratic<long double>();
+    test_solve_real_quadratic<boost::multiprecision::cpp_bin_float_50>();
+
+    test_solve_int_quadratic<int>();
+    test_solve_complex_quadratic<std::complex<double>>();
+#endif
+    test_failures();
+}
diff --git a/src/boost/libs/math/test/test_round.cpp b/src/boost/libs/math/test/test_round.cpp
new file mode 100644
index 000000000..6475ac295
--- /dev/null
+++ b/src/boost/libs/math/test/test_round.cpp
@@ -0,0 +1,467 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/round.hpp>
+#include <boost/math/special_functions/next.hpp>
+#include <boost/math/special_functions/trunc.hpp>
+#include <boost/math/special_functions/modf.hpp>
+#include <boost/math/special_functions/sign.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <iostream>
+#include <iomanip>
+
+boost::mt19937 rng;
+
+template <class T>
+T get_random()
+{
+   //
+   // Fill all the bits in T with random values,
+   // likewise set the exponent to a random value
+   // that will still fit inside a T, and always
+   // have a remainder as well as an integer part.
+   //
+   int bits = boost::math::tools::digits<T>();
+   int shift = 0;
+   int exponent = rng() % (bits - 4);
+   T result = 0;
+   while(bits > 0)
+   {
+      result += ldexp(static_cast<T>(rng()), shift);
+      shift += std::numeric_limits<int>::digits;
+      bits -= std::numeric_limits<int>::digits;
+   }
+   return rng() & 1u ? -ldexp(frexp(result, &bits), exponent) : ldexp(frexp(result, &bits), exponent);
+}
+
+template <class T, class U>
+void check_within_half(T a, U u)
+{
+   BOOST_MATH_STD_USING
+   if(fabs(a-u) > 0.5f)
+   {
+      BOOST_ERROR("Rounded result differed by more than 0.5 from the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+   if((fabs(a - u) == 0.5f) && (fabs(static_cast<T>(u)) < fabs(a)))
+   {
+      BOOST_ERROR("Rounded result was towards zero with boost::round");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+}
+
+//
+// We may not have an abs overload for long long so provide a fall back:
+//
+template <class T>
+inline T safe_abs(T const& v ...)
+{
+   return v < 0 ? -v : v;
+}
+
+template <class T, class U>
+void check_trunc_result(T a, U u)
+{
+   BOOST_MATH_STD_USING
+   if(fabs(a-u) >= 1)
+   {
+      BOOST_ERROR("Rounded result differed by more than 1 from the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+   if(abs(a) < safe_abs(u))
+   {
+      BOOST_ERROR("Truncated result had larger absolute value than the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+   if(fabs(static_cast<T>(u)) > fabs(a))
+   {
+      BOOST_ERROR("Rounded result was away from zero with boost::trunc");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << u << std::endl;
+   }
+}
+
+template <class T, class U>
+void check_modf_result(T a, T fract, U ipart)
+{
+   BOOST_MATH_STD_USING
+   if(fract + ipart != a)
+   {
+      BOOST_ERROR("Fractional and integer results do not add up to the original value");
+      std::cerr << "Values were: " << std::setprecision(35) << " "
+         << std::left << a << ipart << " " << fract << std::endl;
+   }
+   if((boost::math::sign(a) != boost::math::sign(fract)) && boost::math::sign(fract))
+   {
+      BOOST_ERROR("Original and fractional parts have differing signs");
+      std::cerr << "Values were: " << std::setprecision(35) << " "
+         << std::left << a << ipart << " " << fract << std::endl;
+   }
+   if((boost::math::sign(a) != boost::math::sign(ipart)) && boost::math::sign(ipart))
+   {
+      BOOST_ERROR("Original and integer parts have differing signs");
+      std::cerr << "Values were: " << std::setprecision(35) << " "
+         << std::left << a << ipart << " " << ipart << std::endl;
+   }
+   if(fabs(a-ipart) >= 1)
+   {
+      BOOST_ERROR("Rounded result differed by more than 1 from the original");
+      std::cerr << "Values were: " << std::setprecision(35) << std::setw(40)
+         << std::left << a << ipart << std::endl;
+   }
+}
+
+template <class T>
+void test_round_number(T arg)
+{
+   BOOST_MATH_STD_USING
+#ifdef BOOST_HAS_LONG_LONG
+   using boost::math::llround;  using boost::math::lltrunc;
+#endif
+
+   T r = round(arg);
+   check_within_half(arg, r);
+   r = trunc(arg);
+   check_trunc_result(arg, r);
+   T frac = boost::math::modf(arg, &r);
+   check_modf_result(arg, frac, r);
+
+   if(abs(r) < (std::numeric_limits<int>::max)())
+   {
+      int i = iround(arg);
+      check_within_half(arg, i);
+      i = itrunc(arg);
+      check_trunc_result(arg, T(i));
+      r = boost::math::modf(arg, &i);
+      check_modf_result(arg, r, i);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      int si = iround(static_cast<T>((std::numeric_limits<int>::max)()));
+      check_within_half(static_cast<T>((std::numeric_limits<int>::max)()), si);
+      si = iround(static_cast<T>((std::numeric_limits<int>::min)()));
+      check_within_half(static_cast<T>((std::numeric_limits<int>::min)()), si);
+      si = itrunc(static_cast<T>((std::numeric_limits<int>::max)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<int>::max)()), T(si));
+      si = itrunc(static_cast<T>((std::numeric_limits<int>::min)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<int>::min)()), T(si));
+   }
+   if(abs(r) < (std::numeric_limits<long>::max)())
+   {
+      long l = lround(arg);
+      check_within_half(arg, l);
+      l = ltrunc(arg);
+      check_trunc_result(arg, T(l));
+      r = boost::math::modf(arg, &l);
+      check_modf_result(arg, r, l);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      long k = lround(static_cast<T>((std::numeric_limits<long>::max)()));
+      check_within_half(static_cast<T>((std::numeric_limits<long>::max)()), k);
+      k = lround(static_cast<T>((std::numeric_limits<long>::min)()));
+      check_within_half(static_cast<T>((std::numeric_limits<long>::min)()), k);
+      k = ltrunc(static_cast<T>((std::numeric_limits<long>::max)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<long>::max)()), T(k));
+      k = ltrunc(static_cast<T>((std::numeric_limits<long>::min)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<long>::min)()), T(k));
+   }
+
+#ifdef BOOST_HAS_LONG_LONG
+   if(abs(r) < (std::numeric_limits<boost::long_long_type>::max)())
+   {
+      boost::long_long_type ll = llround(arg);
+      check_within_half(arg, ll);
+      ll = lltrunc(arg);
+      check_trunc_result(arg, T(ll));
+      r = boost::math::modf(arg, &ll);
+      check_modf_result(arg, r, ll);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<boost::long_long_type>::digits)
+   {
+      boost::long_long_type j = llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()));
+      check_within_half(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()), j);
+      j = llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()));
+      check_within_half(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()), j);
+      j = lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()), T(j));
+      j = lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()));
+      check_trunc_result(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()), T(j));
+   }
+#endif
+}
+
+template <class T>
+void test_round(T, const char* name )
+{
+   BOOST_MATH_STD_USING
+#ifdef BOOST_HAS_LONG_LONG
+   using boost::math::llround;  using boost::math::lltrunc;
+#endif
+
+   std::cout << "Testing rounding with type " << name << std::endl;
+
+   for(int i = 0; i < 1000; ++i)
+   {
+      T arg = get_random<T>();
+      test_round_number<T>(arg);
+   }
+   //
+   // Finish off by testing the error handlers:
+   //
+   BOOST_MATH_CHECK_THROW(iround(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(iround(static_cast<T>(-1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(lround(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(lround(static_cast<T>(-1e20)), boost::math::rounding_error);
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_MATH_CHECK_THROW(llround(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(llround(static_cast<T>(-1e20)), boost::math::rounding_error);
+#endif
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(round(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(llround(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(llround(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #endif
+   }
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(round(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(llround(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #endif
+   }
+   BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>(-1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>(-1e20)), boost::math::rounding_error);
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>(1e20)), boost::math::rounding_error);
+   BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>(-1e20)), boost::math::rounding_error);
+#endif
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(trunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(lltrunc(std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lltrunc(-std::numeric_limits<T>::infinity()), boost::math::rounding_error);
+   #endif
+   }
+   if(std::numeric_limits<T>::has_quiet_NaN)
+   {
+      BOOST_MATH_CHECK_THROW(trunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #ifdef BOOST_HAS_LONG_LONG
+      BOOST_MATH_CHECK_THROW(lltrunc(std::numeric_limits<T>::quiet_NaN()), boost::math::rounding_error);
+   #endif
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>((std::numeric_limits<int>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(itrunc(static_cast<T>((std::numeric_limits<int>::min)()) - 1), boost::math::rounding_error);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>((std::numeric_limits<long>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(ltrunc(static_cast<T>((std::numeric_limits<long>::min)()) - 1), boost::math::rounding_error);
+   }
+#ifndef BOOST_NO_LONG_LONG
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<boost::long_long_type>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lltrunc(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()) - 1), boost::math::rounding_error);
+   }
+#endif
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(iround(static_cast<T>((std::numeric_limits<int>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(iround(static_cast<T>((std::numeric_limits<int>::min)()) - 1), boost::math::rounding_error);
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(lround(static_cast<T>((std::numeric_limits<long>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(lround(static_cast<T>((std::numeric_limits<long>::min)()) - 1), boost::math::rounding_error);
+   }
+#ifndef BOOST_NO_LONG_LONG
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<boost::long_long_type>::digits)
+   {
+      BOOST_MATH_CHECK_THROW(llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::max)()) + 1), boost::math::rounding_error);
+      BOOST_MATH_CHECK_THROW(llround(static_cast<T>((std::numeric_limits<boost::long_long_type>::min)()) - 1), boost::math::rounding_error);
+   }
+#endif
+   //
+   // try non-throwing error handlers:
+   //
+   boost::math::policies::policy<boost::math::policies::rounding_error<boost::math::policies::ignore_error> > pol;
+
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<int>::digits)
+   {
+      BOOST_CHECK_EQUAL(iround((std::numeric_limits<int>::max)() + T(1.0), pol), (std::numeric_limits<int>::max)());
+      BOOST_CHECK_EQUAL(iround((std::numeric_limits<int>::min)() - T(1.0), pol), (std::numeric_limits<int>::min)());
+      BOOST_CHECK_EQUAL(itrunc((std::numeric_limits<int>::max)() + T(1.0), pol), (std::numeric_limits<int>::max)());
+      BOOST_CHECK_EQUAL(itrunc((std::numeric_limits<int>::min)() - T(1.0), pol), (std::numeric_limits<int>::min)());
+   }
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long>::digits)
+   {
+      BOOST_CHECK_EQUAL(lround((std::numeric_limits<long>::max)() + T(1.0), pol), (std::numeric_limits<long>::max)());
+      BOOST_CHECK_EQUAL(lround((std::numeric_limits<long>::min)() - T(1.0), pol), (std::numeric_limits<long>::min)());
+      BOOST_CHECK_EQUAL(ltrunc((std::numeric_limits<long>::max)() + T(1.0), pol), (std::numeric_limits<long>::max)());
+      BOOST_CHECK_EQUAL(ltrunc((std::numeric_limits<long>::min)() - T(1.0), pol), (std::numeric_limits<long>::min)());
+   }
+#ifndef BOOST_NO_LONG_LONG
+   if(std::numeric_limits<T>::digits >= std::numeric_limits<long long>::digits)
+   {
+      BOOST_CHECK_EQUAL(llround((std::numeric_limits<long long>::max)() + T(1.0), pol), (std::numeric_limits<long long>::max)());
+      BOOST_CHECK_EQUAL(llround((std::numeric_limits<long long>::min)() - T(1.0), pol), (std::numeric_limits<long long>::min)());
+      BOOST_CHECK_EQUAL(lltrunc((std::numeric_limits<long long>::max)() + T(1.0), pol), (std::numeric_limits<long long>::max)());
+      BOOST_CHECK_EQUAL(lltrunc((std::numeric_limits<long long>::min)() - T(1.0), pol), (std::numeric_limits<long long>::min)());
+   }
+#endif
+   // Again with bigger value:
+   T big = 1e20f;
+   BOOST_CHECK_EQUAL(iround(big, pol), (std::numeric_limits<int>::max)());
+   BOOST_CHECK_EQUAL(lround(big, pol), (std::numeric_limits<long>::max)());
+   BOOST_CHECK_EQUAL(iround(-big, pol), (std::numeric_limits<int>::min)());
+   BOOST_CHECK_EQUAL(lround(-big, pol), (std::numeric_limits<long>::min)());
+   BOOST_CHECK_EQUAL(itrunc(big, pol), (std::numeric_limits<int>::max)());
+   BOOST_CHECK_EQUAL(ltrunc(big, pol), (std::numeric_limits<long>::max)());
+   BOOST_CHECK_EQUAL(itrunc(-big, pol), (std::numeric_limits<int>::min)());
+   BOOST_CHECK_EQUAL(ltrunc(-big, pol), (std::numeric_limits<long>::min)());
+#ifndef BOOST_NO_LONG_LONG
+   BOOST_CHECK_EQUAL(llround(big, pol), (std::numeric_limits<long long>::max)());
+   BOOST_CHECK_EQUAL(llround(-big, pol), (std::numeric_limits<long long>::min)());
+   BOOST_CHECK_EQUAL(lltrunc(big, pol), (std::numeric_limits<long long>::max)());
+   BOOST_CHECK_EQUAL(lltrunc(-big, pol), (std::numeric_limits<long long>::min)());
+#endif
+
+   //
+   // Special cases that we know can go bad:
+   //
+   T half = 0.5f;
+   half = boost::math::float_prior(half);
+   test_round_number(half);
+   half = -0.5f;
+   half = boost::math::float_next(half);
+   test_round_number(half);
+
+   if(std::numeric_limits<T>::is_specialized)
+   {
+      //
+      // Odd and even integer values:
+      //
+      T val;
+      for(int i = 2; i < std::numeric_limits<T>::max_exponent; ++i)
+      {
+         val = ldexp(T(1), i);
+         test_round_number(val);
+         ++val;
+         test_round_number(val);
+         val = -val;
+         test_round_number(val);
+         ++val;
+         test_round_number(val);
+      }
+   }
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   test_round(0.1F, "float");
+   test_round(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_round(0.1L, "long double");
+   test_round(boost::math::concepts::real_concept(0.1), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   // test rounding of direct predecessor/successor of 0.5/-0.5 for float and double
+   test_round_number(-0.4999999701976776123046875f);
+   BOOST_CHECK_EQUAL(boost::math::round(-0.4999999701976776123046875f), 0.0f);
+
+   test_round_number(0.4999999701976776123046875f);
+   BOOST_CHECK_EQUAL(boost::math::round(0.4999999701976776123046875f), 0.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-0.499999999999999944488848768742172978818416595458984375), 0.0);
+   test_round_number(-0.499999999999999944488848768742172978818416595458984375);
+
+   BOOST_CHECK_EQUAL(boost::math::round(0.499999999999999944488848768742172978818416595458984375), 0.0);
+   test_round_number(0.499999999999999944488848768742172978818416595458984375);
+
+   // test rounding of integer numbers on the edge of the float/double mantissa width
+   BOOST_CHECK_EQUAL(boost::math::round(-16777215.0f), -16777215.0f);
+   test_round_number(-16777215.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-16777213.0f), -16777213.0f);
+   test_round_number(-16777213.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-8388611.0f), -8388611.0f);
+   test_round_number(-8388611.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-8388609.0f), -8388609.0f);
+   test_round_number(-8388609.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(8388609.0f), 8388609.0f);
+   test_round_number(8388609.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(8388611.0f), 8388611.0f);
+   test_round_number(8388611.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(16777213.0f), 16777213.0f);
+   test_round_number(16777213.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(16777215.0f), 16777215.0f);
+   test_round_number(16777215.0f);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-9007199254740993.0), -9007199254740993.0);
+   test_round_number(-9007199254740993.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-9007199254740991.0), -9007199254740991.0);
+   test_round_number(-9007199254740991.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-4503599627370499.0), -4503599627370499.0);
+   test_round_number(-4503599627370499.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(-4503599627370497.0), -4503599627370497.0);
+   test_round_number(-4503599627370497.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(4503599627370497.0), 4503599627370497.0);
+   test_round_number(4503599627370497.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(4503599627370499.0), 4503599627370499.0);
+   test_round_number(4503599627370499.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(9007199254740991.0), 9007199254740991.0);
+   test_round_number(9007199254740991.0);
+
+   BOOST_CHECK_EQUAL(boost::math::round(9007199254740993.0), 9007199254740993.0);
+   test_round_number(9007199254740993.0);
+}
diff --git a/src/boost/libs/math/test/test_runs_test.cpp b/src/boost/libs/math/test/test_runs_test.cpp
new file mode 100644
index 000000000..94d5c5a2c
--- /dev/null
+++ b/src/boost/libs/math/test/test_runs_test.cpp
@@ -0,0 +1,77 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <vector>
+#include <random>
+#include <boost/math/statistics/runs_test.hpp>
+
+using boost::math::statistics::runs_above_and_below_median;
+
+void test_agreement_with_r_randtests()
+{
+  // $R
+  // install.packages("randtests")
+  // library(randtests)
+  // earthden <- c(5.36, 5.29, 5.58, 5.65, 5.57, 5.53, 5.62, 5.29, 5.44, 5.34, 5.79,5.10, 5.27, 5.39, 5.42, 5.47, 5.63, 5.34, 5.46, 5.30, 5.75, 5.68, 5.85)
+  // h = runs.test(earthden)
+  // options(digits=18)
+  //> h$statistic
+  // -1.74772579501060576
+  // > h$p.value
+  // [1] 0.0805115199405023046
+  // median of v is 5.46, 23 elements.
+  std::vector<double> v{5.36, 5.29,
+                        5.58, 5.65, 5.57, 5.53, 5.62,
+                        5.29, 5.44, 5.34,
+                        5.79, 5.10,
+                        5.27, 5.39, 5.42,
+                        5.47, 5.63,
+                        5.34,
+                        5.46, /* median */
+                        5.30,
+                        5.75, 5.68, 5.85};
+  // v -> {-,-,+,+,+,+,+,-,-,-,+,+,-,-,-,+,+,-,-,+,+,+}, 8 runs.
+  double expected_statistic = -1.74772579501060576;
+  double expected_pvalue = 0.0805115199405023046;
+
+  auto [computed_statistic, computed_pvalue] = runs_above_and_below_median(v);
+
+  CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 3);
+  CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+}
+
+void test_doc_example()
+{
+    std::vector<double> v{5, 2, 0, 4, 7, 9, 10, 6, 1, 8, 3};
+    double expected_statistic = -0.670820393249936919;
+    double expected_pvalue = 0.502334954360502017;
+
+    auto [computed_statistic, computed_pvalue] = runs_above_and_below_median(v);
+
+    CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 3);
+    CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+}
+
+void test_constant_vector()
+{
+    std::vector<double> v{5,5,5,5,5,5,5};
+    auto [computed_statistic, computed_pvalue] = runs_above_and_below_median(v);
+    double expected_pvalue = 0;
+    CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 3);
+    if (!std::isnan(computed_statistic)) {
+        std::cerr << "Computed statistic is not a nan!\n";
+    }
+}
+
+int main()
+{
+    test_constant_vector();
+    test_agreement_with_r_randtests();
+    test_doc_example();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/test_sign.cpp b/src/boost/libs/math/test/test_sign.cpp
new file mode 100644
index 000000000..27ba7b792
--- /dev/null
+++ b/src/boost/libs/math/test/test_sign.cpp
@@ -0,0 +1,157 @@
+#define BOOST_TEST_MAIN// Copyright John Maddock 2008
+//  (C) Copyright Paul A. Bristow 2011 (added tests for changesign)
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/special_functions/sign.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/results_collector.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+
+template <class RealType>
+void test_spots(RealType /*T*/, const char* /*type_name*/)
+{
+   // Basic sanity checks.
+   RealType a = 0;
+   RealType b = 1;
+   RealType c = -1;
+   BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::changesign)(b), RealType(-1));
+   BOOST_CHECK_EQUAL((boost::math::changesign)(c), RealType(+1));
+   BOOST_CHECK_EQUAL((boost::math::changesign)(a), RealType(0));
+
+   // Compare to formula for changsign(x) = copysign(x, signbit(x) ? 1.0 : -1.0)
+   BOOST_CHECK_EQUAL((boost::math::changesign)(b),
+      (boost::math::copysign)(b, (boost::math::signbit)(b) ? RealType(1.) : RealType(-1.) ));
+
+
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   a = 1;
+   BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   a = -1;
+   BOOST_CHECK((boost::math::signbit)(a) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+   a = boost::math::tools::max_value<RealType>();
+   BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   a = -boost::math::tools::max_value<RealType>();
+   BOOST_CHECK((boost::math::signbit)(a) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+
+   if(std::numeric_limits<RealType>::has_infinity)
+   {
+      a = std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+      BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a);
+
+      a = -std::numeric_limits<RealType>::infinity();
+      BOOST_CHECK((boost::math::signbit)(a) != 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+      BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a);
+   }
+#if !defined(__SUNPRO_CC) && !defined(BOOST_INTEL)
+   if(std::numeric_limits<RealType>::has_quiet_NaN)
+   {
+      a = std::numeric_limits<RealType>::quiet_NaN();
+      BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+      // BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a); // NaN comparison fails always!
+      BOOST_CHECK((boost::math::signbit)((boost::math::changesign)(a)) != 0);
+
+      a = -std::numeric_limits<RealType>::quiet_NaN();
+      BOOST_CHECK((boost::math::signbit)(a) != 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
+      //BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a); // NaN comparison fails always!
+      BOOST_CHECK_EQUAL((boost::math::signbit)((boost::math::changesign)(a)), 0);
+
+   }
+#endif
+   //
+   // Try some extreme values:
+   //
+   a = boost::math::tools::min_value<RealType>();
+   b = -a;
+   c = -1;
+   BOOST_CHECK((boost::math::signbit)(a) == 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   BOOST_CHECK((boost::math::signbit)(b) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
+   c = 1;
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
+   //
+   // try denormalised values:
+   //
+   a /= 4;
+   if(a != 0)
+   {
+      b = -a;
+      c = -1;
+      BOOST_CHECK((boost::math::signbit)(a) == 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+      BOOST_CHECK((boost::math::signbit)(b) != 0);
+      BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
+      c = 1;
+      BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
+   }
+   a = boost::math::tools::max_value<RealType>() / 2;
+   b = -a;
+   c = -1;
+   BOOST_CHECK((boost::math::signbit)(a) == 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
+   BOOST_CHECK((boost::math::signbit)(b) != 0);
+   BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
+   c = 1;
+   BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+   test_spots(0.0F, "float"); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+   test_spots(0.0, "double"); // Test double. OK at decdigits 7, tolerance = 1e07 %
+   // long double support for the sign functions is considered "core" so we always test it
+   // even when long double support is turned off via BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double"); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spots(boost::math::concepts::real_concept(0), "real_concept"); // Test real_concept.
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
diff --git a/src/boost/libs/math/test/test_signed_zero.cpp b/src/boost/libs/math/test/test_signed_zero.cpp
new file mode 100644
index 000000000..1e969f559
--- /dev/null
+++ b/src/boost/libs/math/test/test_signed_zero.cpp
@@ -0,0 +1,266 @@
+// Copyright 2006 Johan Rade
+// Copyright 2011 Paul A. Bristow  To incorporate into Boost.Math
+// Copyright 2012 Paul A. Bristow with new tests.
+
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning(disable : 4127) // Expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+
+#include <boost/test/unit_test.hpp>
+#include <boost/math/special_functions/nonfinite_num_facets.hpp>
+#include "s_.ipp" // To create test strings like std::basic_string<CharType> s = S_("0 -0");
+
+#include <iomanip>
+#include <locale>
+#include <sstream>
+#include <ostream>
+#include <iostream>
+#include <iomanip>
+#include <limits>
+#include <iostream>
+
+namespace {
+
+  // Using an anonymous namespace resolves ambiguities on platforms
+  // with fpclassify etc functions at global scope.
+
+  using namespace boost::math;
+  using boost::math::signbit;
+  using boost::math::changesign;
+  using boost::math::isnan;
+
+  //------------------------------------------------------------------------------
+
+  template<class CharType, class ValType> void signed_zero_test_impl();
+  // Loopback tests using all built-in char and floating-point types.
+
+  BOOST_AUTO_TEST_CASE(signed_zero_test)
+  {
+    std::cout 
+      << "BuildInfo:" << '\n'
+      << "  platform "  << BOOST_PLATFORM << '\n'
+      << "  compiler "  << BOOST_COMPILER << '\n'
+      << "  STL "       << BOOST_STDLIB << '\n'
+      << "  Boost version " << BOOST_VERSION/100000     << "."
+                            << BOOST_VERSION/100 % 1000 << "."
+                            << BOOST_VERSION % 100     
+    << std::endl;
+
+    signed_zero_test_impl<char, float>();
+    signed_zero_test_impl<char, double>();
+    signed_zero_test_impl<char, long double>();
+    signed_zero_test_impl<wchar_t, float>();
+    signed_zero_test_impl<wchar_t, double>();
+    signed_zero_test_impl<wchar_t, long double>();
+  }
+
+  template<class CharType, class ValType> void signed_zero_test_impl()
+  {
+
+
+    if (signbit(static_cast<CharType>(-1e-6f) / (std::numeric_limits<CharType>::max)()) != -0)
+    {
+      BOOST_TEST_MESSAGE("Signed zero is not supported on this platform!");
+      return;
+    }
+
+    std::locale old_locale;
+    std::locale tmp_locale(
+      old_locale, new nonfinite_num_put<CharType>(signed_zero));
+    std::locale new_locale(tmp_locale, new nonfinite_num_get<CharType>);
+
+    std::basic_stringstream<CharType> ss;
+    ss.imbue(new_locale);
+
+    std::basic_string<CharType> null = S_("");
+
+    std::basic_string<CharType> s1 = S_("123");
+    ss << s1 << std::endl;
+    ss.str(null);
+
+
+    BOOST_CHECK(ss.str() == null);  //
+
+    ValType a1 = static_cast<ValType>(0); // zero.
+    ValType a2 = (changesign)(static_cast<ValType>(0)); // negative signed zero.
+    BOOST_CHECK(!(signbit)(a1)); //
+    BOOST_CHECK((signbit)(a2));
+
+    ss << a1 << ' ' << a2;
+
+    std::basic_string<CharType> s = S_("0 -0"); // Expected.
+    BOOST_CHECK(ss.str() == s);
+
+    ValType b1, b2;
+    ss >> b1 >> b2;  // Read back in.
+
+    BOOST_CHECK(b1 == a1);
+    BOOST_CHECK(b2 == a2);
+    BOOST_CHECK(!(signbit)(b1));
+    BOOST_CHECK((signbit)(b2));
+    BOOST_CHECK(ss.rdstate() == std::ios_base::eofbit);
+  }  //   template<class CharType, class ValType> void signed_zero_test_impl()
+
+  // Checking output of types char using first default & then using signed_zero flag.
+#define CHECKOUT(manips, expected)\
+  {\
+    {\
+      std::locale old_locale;\
+      std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(0));\
+      std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);\
+      std::ostringstream ss;\
+      ss.imbue(new_locale);\
+      ss << manips;\
+      std::basic_string<char> s = S_(expected);\
+      BOOST_CHECK_EQUAL(ss.str(), s);\
+    }\
+    {\
+      std::locale old_locale;\
+      std::locale tmp_locale(old_locale, new nonfinite_num_put<char>(signed_zero));\
+      std::locale new_locale(tmp_locale, new nonfinite_num_get<char>);\
+      std::ostringstream ss;\
+      ss.imbue(new_locale);\
+      ss << manips;\
+      std::basic_string<char> s = S_(expected);\
+      BOOST_CHECK_EQUAL(ss.str(), s);\
+    }\
+  }\
+
+  BOOST_AUTO_TEST_CASE(misc_output_tests)
+  { // Tests of output using a variety of output options.
+
+     //
+     // STD libraries don't all format zeros the same, 
+     // so figure out what the library-specific formatting is
+     // and then make sure that our facet produces the same...
+     //
+     bool precision_after = false;  // Prints N digits after the point rather than N digits total
+     bool triple_exponent = false;  // Has 3 digits in the exponent rather than 2.
+     std::stringstream ss;
+     ss << std::showpoint << std::setprecision(6) << 0.0;
+     if(ss.str().size() == 8)
+        precision_after = true;
+     ss.str("");
+     ss << std::scientific << 0.0;
+     triple_exponent = ss.str().size() - ss.str().find_first_of('e') == 5;
+
+
+
+    // Positive zero.
+    CHECKOUT(0, "0"); // integer zero.
+    CHECKOUT(0., "0"); // double zero.
+    CHECKOUT(std::setw(2) << 0., " 0");
+    CHECKOUT(std::setw(4) << 0., "   0");
+    CHECKOUT(std::right << std::setw(4) << 0., "   0");
+    CHECKOUT(std::left << std::setw(4) << 0., "0   ");
+    CHECKOUT(std::setw(4) << std::setfill('*') << 0., "***0");
+    CHECKOUT(std::setw(4) << std::internal << std::setfill('*') << 0., "***0"); // left adjust sign and right adjust value.
+    CHECKOUT(std::showpos << std::setw(4) << std::internal << std::setfill('*') << 0., "+**0"); // left adjust sign and right adjust value.
+
+   if(precision_after)
+   {
+// BOOST_STDLIB == ("Dinkumware standard library version" BOOST_STRINGIZE(_CPPLIB_VER)) )
+    CHECKOUT(std::showpoint << 0., "0.000000"); //  std::setprecision(6)
+    CHECKOUT(std::setprecision(2) << std::showpoint << 0., "0.00");
+   }
+   else
+   {
+    CHECKOUT(std::showpoint << 0., "0.00000"); //  std::setprecision(6)
+    CHECKOUT(std::setprecision(2) << std::showpoint << 0., "0.0");
+   }
+    CHECKOUT(std::fixed << std::setw(5) << std::setfill('0') << std::setprecision(2) << 0., "00.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(2) << 0., "000.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(3) << 0., "00.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(3) << 0., "*0.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.0, "0.00**");
+
+    CHECKOUT(std::showpos << 0., "+0");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.0, "+0.00*");
+   if(triple_exponent)
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << 0., "0.0e+000**");
+   }
+   else
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << 0., "0.0e+00***"); 
+   }
+    CHECKOUT(std::fixed << std::showpoint << std::setw(6) << std::setfill('*') << std::setprecision(3) << std::left << 0., "0.000*");
+
+    double nz = (changesign)(static_cast<double>(0)); // negative signed zero.
+    CHECKOUT(nz, "-0");
+    // CHECKOUT(std::defaultfloat << nz, "-0"); Only for C++11
+    CHECKOUT(std::showpos << nz, "-0"); // Ignore showpos because is negative.
+    CHECKOUT(std::setw(2) << nz, "-0");
+    CHECKOUT(std::setw(4) << nz, "  -0");
+    CHECKOUT(std::right << std::setw(4) << nz, "  -0");
+    CHECKOUT(std::left << std::setw(4) << nz, "-0  ");
+    CHECKOUT(std::setw(4) << std::setfill('*') << nz, "**-0");
+    CHECKOUT(std::setw(4) << std::internal << std::setfill('*') << nz, "-**0"); // Use std::internal to left adjust sign and right adjust value.
+    CHECKOUT(std::showpos << std::setw(4) << std::internal << std::setfill('*') << nz, "-**0");
+
+    CHECKOUT(std::fixed << std::setw(5) << std::setfill('0') << std::setprecision(2) << 0., "00.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(2) << 0., "000.00");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('0') << std::setprecision(3) << 0., "00.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(3) << 0., "*0.000");
+    CHECKOUT(std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.0, "0.00**");
+    CHECKOUT(std::setprecision(2) << nz, "-0"); // No showpoint, so no decimal point nor trailing zeros.
+   if(precision_after)
+   {
+    CHECKOUT(std::setprecision(2) << std::showpoint << nz, "-0.00"); // or "-0.0"
+    CHECKOUT(std::setw(1) << std::setprecision(3) << std::showpoint << nz, "-0.000"); // Not enough width for precision overflows width.  or "-0.00"
+   }
+   else
+   {
+    CHECKOUT(std::setprecision(2) << std::showpoint << nz, "-0.0"); // or "-0.00"
+    CHECKOUT(std::setw(1) << std::setprecision(3) << std::showpoint << nz, "-0.00"); // Not enough width for precision overflows width.  or "-0.000"
+   }
+   if(triple_exponent)
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << nz, "-0.0e+000*"); // -0.0e+00**
+   }
+   else
+   {
+    CHECKOUT(std::scientific << std::showpoint << std::setw(10) << std::setfill('*') << std::setprecision(1) << std::left << nz, "-0.0e+00**"); // -0.0e+000*
+   }
+    CHECKOUT(std::fixed << std::showpoint << std::setw(6) << std::setfill('*') << std::setprecision(3) << std::left << 0., "0.000*");
+
+    // Non zero values.
+
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 42., "+42.00");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 4.2, "+4.20*");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 1.22, "+1.22*");
+    CHECKOUT(std::showpos << std::fixed << std::setw(6) << std::setfill('*') << std::setprecision(2) << std::left << 0.12, "+0.12*");
+
+    CHECKOUT(std::setprecision(4) << std::showpoint << 1.2, "1.200");
+
+  }
+
+}   // anonymous namespace
+
+/*
+
+Output:
+
+test_signed_zero.cpp
+  Running 2 test cases...
+  Platform: Win32
+  Compiler: Microsoft Visual C++ version 10.0
+  STL     : Dinkumware standard library version 520
+  Boost   : 1.49.0
+  Entering test suite "Master Test Suite"
+  Entering test case "signed_zero_test"
+  Leaving test case "signed_zero_test"; testing time: 2ms
+  Entering test case "misc_output_tests"
+  Leaving test case "misc_output_tests"; testing time: 15ms
+  Leaving test suite "Master Test Suite"
+
+  *** No errors detected
+
+*/
+
diff --git a/src/boost/libs/math/test/test_sinc.cpp b/src/boost/libs/math/test/test_sinc.cpp
new file mode 100644
index 000000000..ad0eaeb94
--- /dev/null
+++ b/src/boost/libs/math/test/test_sinc.cpp
@@ -0,0 +1,110 @@
+//  (C) Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_sinc.hpp"
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/math/special_functions/next.hpp>
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the sinc_pi function.  There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at 
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 3, 3);                   // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+template <class T>
+void test_close_to_transition()
+{
+   T transition = 3.3f * boost::math::tools::forth_root_epsilon<T>();
+   T val = transition;
+
+   for (unsigned i = 0; i < 100; ++i)
+   {
+      boost::multiprecision::cpp_bin_float_50 extended = val;
+      extended = sin(extended) / extended;
+      T expected = extended.template convert_to<T>();
+      T result = boost::math::sinc_pi(val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      result = boost::math::sinc_pi(-val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      val = boost::math::float_prior(val);
+   }
+   for (unsigned i = 0; i < 100; ++i)
+   {
+      boost::multiprecision::cpp_bin_float_50 extended = val;
+      extended = sin(extended) / extended;
+      T expected = extended.template convert_to<T>();
+      T result = boost::math::sinc_pi(val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      result = boost::math::sinc_pi(-val);
+      BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
+      val = boost::math::float_next(val);
+   }
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+
+   expected_results();
+
+   test_sinc(0.1F, "float");
+   test_close_to_transition<float>();
+   test_sinc(0.1, "double");
+   test_close_to_transition<double>();
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_sinc(0.1L, "long double");
+   test_close_to_transition<long double>();
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_sinc(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_sinc.hpp b/src/boost/libs/math/test/test_sinc.hpp
new file mode 100644
index 000000000..6f169ffdf
--- /dev/null
+++ b/src/boost/libs/math/test/test_sinc.hpp
@@ -0,0 +1,64 @@
+// Copyright John Maddock 2018.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/sinc.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_sinc(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(DIGAMMA_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sinc_pi<value_type>;
+#else
+   pg funcp = boost::math::sinc_pi;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sinc against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data, 
+      bind_func<Real>(funcp, 0), 
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sinc_pi", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_sinc(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   // 
+#  include "sinc_data.ipp"
+
+   do_test_sinc<T>(sinc_data, name, "Sinc Function");
+}
+
diff --git a/src/boost/libs/math/test/test_skew_normal.cpp b/src/boost/libs/math/test/test_skew_normal.cpp
new file mode 100644
index 000000000..2459ebb43
--- /dev/null
+++ b/src/boost/libs/math/test/test_skew_normal.cpp
@@ -0,0 +1,529 @@
+// Copyright Paul A. Bristow 2012.
+// Copyright John Maddock 2012.
+// Copyright Benjamin Sobotta 2012
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) // conditional expression is constant.
+#  pragma warning (disable : 4305) // 'initializing' : truncation from 'double' to 'const float'.
+#  pragma warning (disable : 4310) // cast truncates constant value.
+#  pragma warning (disable : 4512) // assignment operator could not be generated.
+#endif
+
+//#include <pch.hpp> // include directory libs/math/src/tr1/ is needed.
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/skew_normal.hpp>
+using boost::math::skew_normal_distribution;
+using boost::math::skew_normal;
+#include <boost/math/tools/test.hpp> 
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+using std::setprecision;
+#include <limits>
+using std::numeric_limits;
+#include "test_out_of_range.hpp"
+
+template <class RealType>
+void check_skew_normal(RealType mean, RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
+{
+ using boost::math::skew_normal_distribution;
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(   // Check cdf
+    skew_normal_distribution<RealType>(mean, scale, shape),      // distribution.
+    x),    // random variable.
+    p,     // probability.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf( // Check cdf complement
+    complement( 
+    skew_normal_distribution<RealType>(mean, scale, shape),   // distribution.
+    x)),   // random variable.
+    q,      // probability complement.
+    tol);    // %tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile
+    skew_normal_distribution<RealType>(mean, scale, shape),    // distribution.
+    p),   // probability.
+    x,   // random variable.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile( // Check quantile complement
+    complement(
+    skew_normal_distribution<RealType>(mean, scale, shape),   // distribution.
+    q)),   // probability complement.
+    x,     // random variable.
+    tol);  // tolerance.
+
+   skew_normal_distribution<RealType> dist (mean, scale, shape);
+
+   if((p < 0.999) && (q < 0.999))
+   {  // We can only check this if P is not too close to 1,
+      // so that we can guarantee Q is accurate:
+      BOOST_CHECK_CLOSE_FRACTION(
+        cdf(complement(dist, x)), q, tol); // 1 - cdf
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(dist, p), x, tol); // quantile(cdf) = x
+      BOOST_CHECK_CLOSE_FRACTION(
+        quantile(complement(dist, q)), x, tol); // quantile(complement(1 - cdf)) = x
+   }
+} // template <class RealType>void check_skew_normal()
+
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   RealType tolerance = 1e-4f; // 1e-4 (as %)
+
+  // Check some bad parameters to the distribution,
+#ifndef BOOST_NO_EXCEPTIONS
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(0, -1), std::domain_error); // negative sd
+#else
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(0, 0), std::domain_error); // zero sd
+   BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(0, -1), std::domain_error); // negative sd
+#endif
+  // Tests on extreme values of random variate x, if has numeric_limit infinity etc.
+    skew_normal_distribution<RealType> N01;
+  if(std::numeric_limits<RealType>::has_infinity)
+  {
+    BOOST_CHECK_EQUAL(pdf(N01, +std::numeric_limits<RealType>::infinity()), 0); // x = + infinity, pdf = 0
+    BOOST_CHECK_EQUAL(pdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, pdf = 0
+    BOOST_CHECK_EQUAL(cdf(N01, +std::numeric_limits<RealType>::infinity()), 1); // x = + infinity, cdf = 1
+    BOOST_CHECK_EQUAL(cdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, +std::numeric_limits<RealType>::infinity())), 0); // x = + infinity, c cdf = 0
+    BOOST_CHECK_EQUAL(cdf(complement(N01, -std::numeric_limits<RealType>::infinity())), 1); // x = - infinity, c cdf = 1
+#ifndef BOOST_NO_EXCEPTIONS
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#else
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(-std::numeric_limits<RealType>::infinity(),  static_cast<RealType>(1)), std::domain_error); // -infinite mean
+    BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
+#endif
+  }
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+    // No longer allow x to be NaN, then these tests should throw.
+    BOOST_MATH_CHECK_THROW(pdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
+    BOOST_MATH_CHECK_THROW(cdf(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
+    BOOST_MATH_CHECK_THROW(quantile(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
+  }
+
+  BOOST_CHECK_EQUAL(mean(N01), 0);
+  BOOST_CHECK_EQUAL(mode(N01), 0);
+  BOOST_CHECK_EQUAL(variance(N01), 1);
+  BOOST_CHECK_EQUAL(skewness(N01), 0);
+  BOOST_CHECK_EQUAL(kurtosis_excess(N01), 0);
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   // Tests where shape = 0, so same as normal tests.
+   // (These might be removed later).
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(4.8),
+      static_cast<RealType>(0.46017),
+      static_cast<RealType>(1 - 0.46017),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(5.2),
+      static_cast<RealType>(1 - 0.46017),
+      static_cast<RealType>(0.46017),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(2.2),
+      static_cast<RealType>(0.08076),
+      static_cast<RealType>(1 - 0.08076),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(5),
+      static_cast<RealType>(2),
+      static_cast<RealType>(0),
+      static_cast<RealType>(7.8),
+      static_cast<RealType>(1 - 0.08076),
+      static_cast<RealType>(0.08076),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(-4.5),
+      static_cast<RealType>(0.38209),
+      static_cast<RealType>(1 - 0.38209),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(-1.5),
+      static_cast<RealType>(1 - 0.38209),
+      static_cast<RealType>(0.38209),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(-8.5),
+      static_cast<RealType>(0.13567),
+      static_cast<RealType>(1 - 0.13567),
+      tolerance);
+
+   check_skew_normal(
+      static_cast<RealType>(-3),
+      static_cast<RealType>(5),
+      static_cast<RealType>(0),
+      static_cast<RealType>(2.5),
+      static_cast<RealType>(1 - 0.13567),
+      static_cast<RealType>(0.13567),
+      tolerance);
+
+   // Tests where shape != 0, specific to skew_normal distribution.
+   //void check_skew_normal(RealType mean, RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
+      check_skew_normal( // 1st R example.
+      static_cast<RealType>(1.1),
+      static_cast<RealType>(2.2),
+      static_cast<RealType>(-3.3),
+      static_cast<RealType>(0.4), // x
+      static_cast<RealType>(0.733918618927874), // p == psn
+      static_cast<RealType>(1 - 0.733918618927874), // q 
+      tolerance);
+
+   // Not sure about these yet.
+      //check_skew_normal( // 2nd R example.
+      //static_cast<RealType>(1.1),
+      //static_cast<RealType>(0.02),
+      //static_cast<RealType>(0.03),
+      //static_cast<RealType>(1.3), // x
+      //static_cast<RealType>(0.01), // p
+      //static_cast<RealType>(0.09), // q
+      //tolerance);
+      //check_skew_normal( // 3nd R example.
+      //static_cast<RealType>(10.1),
+      //static_cast<RealType>(5.),
+      //static_cast<RealType>(-0.03),
+      //static_cast<RealType>(-1.3), // x
+      //static_cast<RealType>(0.01201290665838824), // p
+      //static_cast<RealType>(1. - 0.01201290665838824), // q 0.987987101
+      //tolerance);
+
+    // Tests for PDF: we know that the normal peak value is at 1/sqrt(2*pi)
+   //
+   tolerance = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(), static_cast<RealType>(0)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi)
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(3), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L),
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(3, 5), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
+      tolerance);
+
+   // Shape != 0.
+   BOOST_CHECK_CLOSE_FRACTION(
+      pdf(skew_normal_distribution<RealType>(3,5,1e-6), static_cast<RealType>(3)),
+      static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
+      tolerance);
+
+
+   // Checks on mean, variance cumulants etc.
+   // Checks on shape ==0
+
+    RealType tol5 = boost::math::tools::epsilon<RealType>() * 5;
+    skew_normal_distribution<RealType> dist(8, 3);
+    RealType x = static_cast<RealType>(0.125);
+
+    BOOST_MATH_STD_USING // ADL of std math lib names
+
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(8), tol5);
+    // variance:
+    BOOST_CHECK_CLOSE(
+       variance(dist)
+       , static_cast<RealType>(9), tol5);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(3), tol5);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol5);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol5);
+    // coefficient_of_variation:
+    BOOST_CHECK_CLOSE(
+       coefficient_of_variation(dist)
+       , standard_deviation(dist) / mean(dist), tol5);
+    // mode: 
+    BOOST_CHECK_CLOSE_FRACTION(mode(dist), static_cast<RealType>(8), 0.001f);
+
+    BOOST_CHECK_CLOSE(
+       median(dist)
+       , static_cast<RealType>(8), tol5);
+
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0), tol5);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(3), tol5);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(0), tol5);
+
+    skew_normal_distribution<RealType> norm01(0, 1); // Test default (0, 1)
+    BOOST_CHECK_CLOSE(
+       mean(norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    skew_normal_distribution<RealType> defsd_norm01(0); // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(defsd_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    skew_normal_distribution<RealType> def_norm01; // Test default (0, sd = 1)
+    BOOST_CHECK_CLOSE(
+       mean(def_norm01),
+       static_cast<RealType>(0), 0); // Mean == zero
+
+    BOOST_CHECK_CLOSE(
+       standard_deviation(def_norm01),
+       static_cast<RealType>(1), 0);  // 
+
+    BOOST_CHECK_CLOSE(
+       mode(def_norm01),
+       static_cast<RealType>(0), 0); // Mode == zero
+
+
+    // Skew_normal tests with shape != 0.
+    {
+      // Note these tolerances are expressed as percentages, hence the extra * 100 on the end:
+      RealType tol10 = boost::math::tools::epsilon<RealType>() * 10 * 100;
+      RealType tol100 = boost::math::tools::epsilon<RealType>() * 100 * 100;
+
+      //skew_normal_distribution<RealType> dist(1.1, 0.02, 0.03);
+
+      BOOST_MATH_STD_USING // ADL of std math lib names.
+
+      // Test values from R = see skew_normal_drv.cpp which included the R code used.
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(2.2l), static_cast<RealType>(-3.3l));
+
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(-0.579908992539856825862549L), tol10 * 2);
+
+        std::cout << std::setprecision(17) << "Variance = " << variance(dist) << std::endl;
+         BOOST_CHECK_CLOSE(      // variance: N[variance[skewnormaldistribution[1.1, 2.2, -3.3]], 50]
+          variance(dist)
+          , static_cast<RealType>(2.0179057767837232633904061072049998357047989154484L), tol10);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(-0.709854548171537509192897824663L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.5538752625241790601377L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(0.5538752625241790601377L), tol100);
+
+        BOOST_CHECK_CLOSE(
+          pdf(dist, static_cast<RealType>(0.4L)),
+          static_cast<RealType>(0.294140110156599539564571L),
+          tol10);
+
+        BOOST_CHECK_CLOSE(
+          cdf(dist, static_cast<RealType>(0.4L)),
+          static_cast<RealType>(0.7339186189278737976326676452L),
+          tol100);
+
+        BOOST_CHECK_CLOSE(
+          quantile(dist, static_cast<RealType>(0.3L)),
+          static_cast<RealType>(-1.180104068086875314419247L),
+          tol100);
+
+
+      { // mode tests
+
+           dist = skew_normal_distribution<RealType>(static_cast<RealType>(0.l), static_cast<RealType>(1.l), static_cast<RealType>(4.l));
+
+       // cout << "pdf(dist, 0) = " << pdf(dist, 0) <<  ", pdf(dist, 0.45) = " << pdf(dist, 0.45) << endl;
+       // BOOST_CHECK_CLOSE(mode(dist), boost::math::constants::root_two<RealType>() / 2, tol5);
+        BOOST_CHECK_CLOSE(mode(dist), static_cast<RealType>(0.41697299497388863932L), tol100);
+      }
+
+
+      }
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(0.02l), static_cast<RealType>(0.03l));
+
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(1.1004785154529557886162L), tol10);
+        BOOST_CHECK_CLOSE(      // variance:
+          variance(dist)
+           , static_cast<RealType>(0.00039977102296128251645L), tol10);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(5.8834811259890359782e-006L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
+      }
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(10.1l), static_cast<RealType>(5.l), static_cast<RealType>(-0.03l));
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(9.9803711367610528459485937L), tol10);
+        BOOST_CHECK_CLOSE(      // variance:
+          variance(dist)
+           , static_cast<RealType>(24.98568893508015727823L), tol10);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(-5.8834811259890359782085e-006L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
+      }
+      {
+        dist = skew_normal_distribution<RealType>(static_cast<RealType>(-10.1l), static_cast<RealType>(5.l), static_cast<RealType>(30.l));
+        BOOST_CHECK_CLOSE(      // mean:
+           mean(dist)
+           , static_cast<RealType>(-6.11279169674138408531365L), 2 * tol10);
+        BOOST_CHECK_CLOSE(      // variance:
+          variance(dist)
+          , static_cast<RealType>(9.10216994642554914628242L), tol10 * 2);
+
+        BOOST_CHECK_CLOSE(      // skewness:
+           skewness(dist)
+           , static_cast<RealType>(0.99072425443686904424L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis:
+           kurtosis(dist)
+           , static_cast<RealType>(3.L + 0.8638862008406084244563L), tol100);
+        BOOST_CHECK_CLOSE(      // kurtosis excess:
+           kurtosis_excess(dist)
+           , static_cast<RealType>(0.8638862008406084244563L), tol100);
+      }
+
+      BOOST_MATH_CHECK_THROW(cdf(skew_normal_distribution<RealType>(0, 0, 0), 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(cdf(skew_normal_distribution<RealType>(0, -1, 0), 0), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(skew_normal_distribution<RealType>(0, 1, 0), -1), std::domain_error);
+      BOOST_MATH_CHECK_THROW(quantile(skew_normal_distribution<RealType>(0, 1, 0), 2), std::domain_error);
+      check_out_of_range<skew_normal_distribution<RealType> >(1, 1, 1);
+    }
+
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+
+  using boost::math::skew_normal;
+  using boost::math::skew_normal_distribution;
+
+  //int precision = 17; // std::numeric_limits<double::max_digits10;
+  double tolfeweps = numeric_limits<double>::epsilon() * 5;
+  //double tol6decdigits = numeric_limits<float>::epsilon() * 2;
+  // Check that can generate skew_normal distribution using the two convenience methods:
+  boost::math::skew_normal w12(1., 2); // Using typedef.
+  boost::math::skew_normal_distribution<> w01; // Use default unity values for mean and scale.
+  // Note NOT myn01() as the compiler will interpret as a function!
+
+  // Checks on constructors.
+  // Default parameters.
+  BOOST_CHECK_EQUAL(w01.location(), 0);
+  BOOST_CHECK_EQUAL(w01.scale(), 1);
+  BOOST_CHECK_EQUAL(w01.shape(), 0);
+
+  skew_normal_distribution<> w23(2., 3); // Using default RealType double.
+  BOOST_CHECK_EQUAL(w23.scale(), 3);
+  BOOST_CHECK_EQUAL(w23.shape(), 0);
+
+  skew_normal_distribution<> w123(1., 2., 3.); // Using default RealType double.
+  BOOST_CHECK_EQUAL(w123.location(), 1.);
+  BOOST_CHECK_EQUAL(w123.scale(), 2.);
+  BOOST_CHECK_EQUAL(w123.shape(), 3.);
+
+  BOOST_CHECK_CLOSE_FRACTION(mean(w01), static_cast<double>(0), tolfeweps); // Default mean == zero
+  BOOST_CHECK_CLOSE_FRACTION(scale(w01), static_cast<double>(1), tolfeweps); // Default scale == unity
+
+  // Basic sanity-check spot values for all floating-point types..
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+  std::cout << "<note>The long double tests have been disabled on this platform "
+    "either because the long double overloads of the usual math functions are "
+    "not available at all, or because they are too inaccurate for these tests "
+    "to pass.</note>" << std::endl;
+#endif
+  /*      */
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_spherical_harmonic.cpp b/src/boost/libs/math/test/test_spherical_harmonic.cpp
new file mode 100644
index 000000000..fb33acdd6
--- /dev/null
+++ b/src/boost/libs/math/test/test_spherical_harmonic.cpp
@@ -0,0 +1,131 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+#include "test_spherical_harmonic.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Spherical Harmonic Functions.
+// There are two sets of tests, spot
+// tests which compare our results with selected values computed
+// using the online special function calculator at
+// functions.wolfram.com, while the bulk of the accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<long double>::digits <= 64) &&
+      (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits))
+   {
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*",                          // test data group
+         ".*", 15, 5);                  // test function
+   }
+#endif
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",      // test data group
+      ".*", 30000, 1000);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                  // test type(s)
+      ".*",      // test data group
+      ".*", 30000, 1000);  // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   test_spots(0.0F, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+   test_spherical_harmonic(0.1F, "float");
+   test_spherical_harmonic(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spherical_harmonic(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_spherical_harmonic(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_spherical_harmonic.hpp b/src/boost/libs/math/test/test_spherical_harmonic.hpp
new file mode 100644
index 000000000..a43d09ca6
--- /dev/null
+++ b/src/boost/libs/math/test/test_spherical_harmonic.hpp
@@ -0,0 +1,213 @@
+//  (C) Copyright John Maddock 2007.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+
+template <class Real, class T>
+void do_test_spherical_harmonic(const T& data, const char* type_name, const char* test_name)
+{
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(unsigned, int, value_type, value_type);
+#ifdef SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST
+   pg funcp = SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::spherical_harmonic_r<value_type, value_type>;
+#else
+   pg funcp = boost::math::spherical_harmonic_r;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test Spheric Harmonic against data:
+   //
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST))
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int2<Real>(funcp, 0, 1, 2, 3),
+      extract_result<Real>(4));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "spherical_harmonic_r", test_name);
+#endif
+
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST))
+
+#ifdef SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST
+   funcp = SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::spherical_harmonic_i<value_type, value_type>;
+#else
+   funcp = boost::math::spherical_harmonic_i;
+#endif
+   //
+   // test Spheric Harmonic against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func_int2<Real>(funcp, 0, 1, 2, 3),
+      extract_result<Real>(5));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "spherical_harmonic_i", test_name);
+
+   std::cout << std::endl;
+#endif
+}
+
+template <class Real, class T>
+void test_complex_spherical_harmonic(const T& data, const char* /* name */, boost::true_type const &)
+{
+   typedef Real                   value_type;
+
+   for(unsigned i = 0; i < sizeof(data) / sizeof(data[0]); ++i)
+   {
+      //
+      // Sanity check that the complex version does the same thing as the real
+      // and imaginary versions:
+      //
+      std::complex<value_type> r = boost::math::spherical_harmonic(
+         boost::math::tools::real_cast<unsigned>(data[i][0]),
+         boost::math::tools::real_cast<unsigned>(data[i][1]),
+         Real(data[i][2]),
+         Real(data[i][3]));
+      value_type re = boost::math::spherical_harmonic_r(
+         boost::math::tools::real_cast<unsigned>(data[i][0]),
+         boost::math::tools::real_cast<unsigned>(data[i][1]),
+         Real(data[i][2]),
+         Real(data[i][3]));
+      value_type im = boost::math::spherical_harmonic_i(
+         boost::math::tools::real_cast<unsigned>(data[i][0]),
+         boost::math::tools::real_cast<unsigned>(data[i][1]),
+         Real(data[i][2]),
+         Real(data[i][3]));
+      BOOST_CHECK_CLOSE_FRACTION(std::real(r), re, value_type(5));
+      BOOST_CHECK_CLOSE_FRACTION(std::imag(r), im, value_type(5));
+   }
+}
+
+template <class Real, class T>
+void test_complex_spherical_harmonic(const T& /* data */, const char* /* name */, boost::false_type const &)
+{
+   // T is not a built in type, can't use std::complex with it...
+}
+
+template <class T>
+void test_spherical_harmonic(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // 6 items, the 4 input values, plus the real and imaginary results:
+   //
+#  include "spherical_harmonic.ipp"
+
+   do_test_spherical_harmonic<T>(spherical_harmonic, name, "Spherical Harmonics");
+
+   test_complex_spherical_harmonic<T>(spherical_harmonic, name, boost::is_floating_point<T>());
+}
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // basic sanity checks, tolerance is 100 epsilon:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 100;
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(3, 2, static_cast<T>(0.5), static_cast<T>(0)), static_cast<T>(0.2061460599687871330692286791802688341213L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 10, static_cast<T>(0.75), static_cast<T>(-0.25)), static_cast<T>(0.06197787102219208244041677775577045124092L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 10, static_cast<T>(0.75), static_cast<T>(-0.25)), static_cast<T>(0.04629885158895932341185988759669916977920L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.1837126108841860058078729532035715580790L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.1837126108841860058078729532035715580790L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.1837126108841860058078729532035715580790L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.1757594233240278196989039119899901986211L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.1837126108841860058078729532035715580790L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.0197340092863212879172432610952871202640L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0197340092863212879172432610952871202640L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0197340092863212879172432610952871202640L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.0197340092863212879172432610952871202640L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.0442712905622650144694916590407495495699L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.0442712905622650144694916590407495495699L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(-0.0442712905622650144694916590407495495699L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.0442712905622650144694916590407495495699L), tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(-0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.3126490678888350710506307405826667514065L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.3126490678888350710506307405826667514065L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.3126490678888350710506307405826667514065L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.2991140325667575801827063718821420263438L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(-0.3126490678888350710506307405826667514065L), tolerance);
+
+   BOOST_CHECK_EQUAL(::boost::math::spherical_harmonic_r(10, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0));
+   BOOST_CHECK_EQUAL(::boost::math::spherical_harmonic_i(10, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0));
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(53, 42, static_cast<T>(-8.75), static_cast<T>(-2.25)), static_cast<T>(-0.0008147976618889536159592309471859037113647L), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(53, 42, static_cast<T>(-8.75), static_cast<T>(-2.25)), static_cast<T>(0.0002099802242493057018193798824353982612756L), tolerance);
+}
diff --git a/src/boost/libs/math/test/test_students_t.cpp b/src/boost/libs/math/test/test_students_t.cpp
new file mode 100644
index 000000000..d8db1ce67
--- /dev/null
+++ b/src/boost/libs/math/test/test_students_t.cpp
@@ -0,0 +1,777 @@
+// Copyright Paul A. Bristow 2006, 2017.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_students_t.cpp
+
+// http://en.wikipedia.org/wiki/Student%27s_t_distribution
+// http://www.itl.nist.gov/div898/handbook/eda/section3/eda3664.htm
+
+// Basic sanity test for Student's t probability (quantile) (0. < p < 1).
+// and Student's t probability Quantile (0. < p < 1).
+
+#ifdef _MSC_VER
+#  pragma warning (disable :4127) // conditional expression is constant.
+#endif
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#include <boost/math/tools/test.hpp> // for real_concept
+#include "test_out_of_range.hpp"
+#include <boost/math/distributions/students_t.hpp>
+    using boost::math::students_t_distribution;
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+RealType naive_pdf(RealType v, RealType t)
+{
+   // Calculate the pdf of the students t in a deliberately
+   // naive way, using equation (5) from
+   // http://mathworld.wolfram.com/Studentst-Distribution.html
+   // This is equivalent to, but a different method
+   // to the one in the actual implementation, so can be used as
+   // a very basic sanity check.  However some published values
+   // would be nice....
+
+   using namespace std;  // for ADL
+   using boost::math::beta;
+
+   //return pow(v / (v + t*t), (1+v) / 2) / (sqrt(v) * beta(v/2, RealType(0.5f)));
+   RealType result = boost::math::tgamma_ratio((v+1)/2, v/2);
+   result /= sqrt(v * boost::math::constants::pi<RealType>());
+   result /= pow(1 + t*t/v, (v+1)/2);
+   return result;
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // Basic sanity checks
+
+   RealType tolerance = static_cast<RealType>(1e-4); // 1e-6 (as %)
+   // Some tests only pass at 1e-5 because probability value is less accurate,
+   // a digit in 6th decimal place, although calculated using
+   // a t-distribution generator (claimed 6 decimal digits) at
+  // http://faculty.vassar.edu/lowry/VassarStats.html
+   // http://faculty.vassar.edu/lowry/tsamp.html
+   // df = 5, +/-t = 2.0, 1-tailed = 0.050970, 2-tailed = 0.101939
+
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   // http://en.wikipedia.org/wiki/Student%27s_t_distribution#Table_of_selected_values
+  // Using tabulated value of t = 3.182 for 0.975, 3 df, one-sided.
+
+   // http://www.mth.kcl.ac.uk/~shaww/web_page/papers/Tdistribution06.pdf refers to:
+
+   // A lookup table of quantiles of the RealType distribution
+  // for 1 to 25 in steps of 0.1 is provided in CSV form at:
+  // www.mth.kcl.ac.uk/~shaww/web_page/papers/Tsupp/tquantiles.csv
+   // gives accurate t of -3.1824463052837 and 3 degrees of freedom.
+   // Values below are from this source, saved as tquantiles.xls.
+   // DF are across the columns, probabilities down the rows
+   // and the t- values (quantiles) are shown.
+   // These values are probably accurate to nearly 64-bit double
+  // (perhaps 14 decimal digits).
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(2),       // degrees_of_freedom
+         static_cast<RealType>(-6.96455673428326)),  // t
+         static_cast<RealType>(0.01),                // probability.
+         tolerance); // %
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5),       // degrees_of_freedom
+         static_cast<RealType>(-3.36492999890721)),  // t
+         static_cast<RealType>(0.01),                // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(1),      // degrees_of_freedom
+         static_cast<RealType>(-31830.988607907)),  // t
+         static_cast<RealType>(0.00001),            // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(25.),    // degrees_of_freedom
+         static_cast<RealType>(-5.2410429995425)),  // t
+         static_cast<RealType>(0.00001),            // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(1),   // degrees_of_freedom
+         static_cast<RealType>(-63661.97723)),   // t
+         static_cast<RealType>(0.000005),        // probability.
+         tolerance);
+
+    BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(-17.89686614)),   // t
+         static_cast<RealType>(0.000005),        // probability.
+         tolerance);
+
+    BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(25.),  // degrees_of_freedom
+         static_cast<RealType>(-5.510848412)),    // t
+         static_cast<RealType>(0.000005),         // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10.),  // degrees_of_freedom
+         static_cast<RealType>(-1.812461123)),    // t
+         static_cast<RealType>(0.05),             // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10),  // degrees_of_freedom
+         static_cast<RealType>(1.812461123)),    // t
+         static_cast<RealType>(0.95),            // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            students_t_distribution<RealType>(10),  // degrees_of_freedom
+            static_cast<RealType>(1.812461123))),    // t
+         static_cast<RealType>(0.05),            // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10),  // degrees_of_freedom
+         static_cast<RealType>(9.751995491)),    // t
+         static_cast<RealType>(0.999999),        // probability.
+         tolerance);
+
+  BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(10.),  // degrees_of_freedom - for ALL degrees_of_freedom!
+         static_cast<RealType>(0.)),              // t
+         static_cast<RealType>(0.5),              // probability.
+         tolerance);
+
+
+   // Student's t Inverse function tests.
+  // Special cases
+
+  BOOST_MATH_CHECK_THROW(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(0)), std::overflow_error); // t == -infinity.
+
+  BOOST_MATH_CHECK_THROW(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(1)), std::overflow_error); // t == +infinity.
+
+  BOOST_CHECK_EQUAL(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(0.5)),  //  probability == half - special case.
+         static_cast<RealType>(0)); // t == zero.
+
+  BOOST_CHECK_EQUAL(boost::math::quantile(
+         complement(
+            students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+            static_cast<RealType>(0.5))),  //  probability == half - special case.
+         static_cast<RealType>(0)); // t == zero.
+
+  BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(1.),  // degrees_of_freedom (ignored).
+         static_cast<RealType>(0.5)),  //  probability == half - special case.
+         static_cast<RealType>(0), // t == zero.
+         tolerance);
+
+   BOOST_CHECK_CLOSE( // Tests of p middling.
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(-0.559429644)),  // t
+         static_cast<RealType>(0.3), // probability.
+         tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(0.3)),  // probability.
+         static_cast<RealType>(-0.559429644), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            students_t_distribution<RealType>(5.),  // degrees_of_freedom
+            static_cast<RealType>(0.7))),  // probability.
+         static_cast<RealType>(-0.559429644), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE( // Tests of p high.
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(1.475884049)),  // t
+         static_cast<RealType>(0.9), // probability.
+         tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(0.9)),  // probability.
+         static_cast<RealType>(1.475884049), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE( // Tests of p low.
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(-1.475884049)),  // t
+         static_cast<RealType>(0.1), // probability.
+         tolerance);
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(5.),  // degrees_of_freedom
+         static_cast<RealType>(0.1)),  // probability.
+         static_cast<RealType>(-1.475884049), // t
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         students_t_distribution<RealType>(2.),  // degrees_of_freedom
+         static_cast<RealType>(-6.96455673428326)),  // t
+         static_cast<RealType>(0.01), // probability.
+         tolerance);
+
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         students_t_distribution<RealType>(2.),  // degrees_of_freedom
+         static_cast<RealType>(0.01)),  // probability.
+         static_cast<RealType>(-6.96455673428326), // t
+         tolerance);
+
+      //
+      // Some special tests to exercise the double-precision approximations
+      // to the quantile:
+      //
+      // tolerance is 50 eps expressed as a percent:
+      //
+      tolerance = boost::math::tools::epsilon<RealType>() * 5000;
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2.00390625L),                     // degrees_of_freedom.
+         static_cast<RealType>(0.5625L)),                                    //  probability.
+         static_cast<RealType>(0.178133131573788108465134803511798566L),     // t.
+         tolerance);      
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(1L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-10.1531703876088604621071476634194722L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(1L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(2.41421356237309504880168872421390942L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-3.81000381000571500952501666878143315L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.60356745147454630810732088527854144L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(4L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.56208431914409044861223047927635034L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(4L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.34439755550909142430681981315923574L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(6L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.28348667906973065861212495010082952L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(6L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.27334930914664286821103236660071906L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(8L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.16296475406014719458642055768894376L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(8L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.24031826078267310637634677726479038L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(10L),                             // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.09596136475109350926340169211429572L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(10L),                         // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                 //  probability.
+         static_cast<RealType>(1.2212553950039221407185188573696834L),   // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2.125L),                          // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-3.62246031671091980110493455859296532L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(2.125L),                        // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.56905270993307293450392958697861969L),    // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(3L),                              // degrees_of_freedom.
+         static_cast<RealType>(0.03125L)),                                   //  probability.
+         static_cast<RealType>(-2.90004411882995814036141778367917946L),     // t.
+         tolerance);
+      BOOST_CHECK_CLOSE(boost::math::quantile(
+         students_t_distribution<RealType>(3L),                            // degrees_of_freedom.
+         static_cast<RealType>(0.875L)),                                   //  probability.
+         static_cast<RealType>(1.42262528146180931868169289781115099L),    // t.
+         tolerance);
+
+      if(boost::is_floating_point<RealType>::value)
+      {
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(1e30f), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(1e30f), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(1e20f), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(1e20f), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(static_cast<RealType>(0x7FFFFFFF)), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(static_cast<RealType>(0x7FFFFFFF)), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(static_cast<RealType>(0x10000000)), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(static_cast<RealType>(0x10000000)), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+         BOOST_CHECK_CLOSE(boost::math::cdf(
+            students_t_distribution<RealType>(static_cast<RealType>(0x0fffffff)), 
+               boost::math::quantile(
+                  students_t_distribution<RealType>(static_cast<RealType>(0x0fffffff)), static_cast<RealType>(0.25f))), 
+            static_cast<RealType>(0.25f), tolerance);
+      }
+
+  // Student's t pdf tests.
+  // for PDF checks, use 100 eps tolerance expressed as a percent:
+   tolerance = boost::math::tools::epsilon<RealType>() * 10000;
+
+   for(unsigned i = 1; i < 20; i += 3)
+   {
+      for(RealType r = -10; r < 10; r += 0.125)
+      {
+         //std::cout << "df=" << i << " t=" << r << std::endl;
+         BOOST_CHECK_CLOSE(
+            boost::math::pdf(
+               students_t_distribution<RealType>(static_cast<RealType>(i)),
+               r),
+            naive_pdf<RealType>(static_cast<RealType>(i), r),
+            tolerance);
+      }
+   }
+
+    RealType tol2 = boost::math::tools::epsilon<RealType>() * 5;
+    students_t_distribution<RealType> dist(8);
+    RealType x = static_cast<RealType>(0.125);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(0), tol2);
+    // variance:
+ //   BOOST_CHECK_CLOSE(
+ //      variance(dist)
+ //      , static_cast<RealType>(13.0L / 6.0L), tol2);
+ //// was     , static_cast<RealType>(8.0L / 6.0L), tol2);
+    // std deviation:
+    BOOST_CHECK_CLOSE(
+       standard_deviation(dist)
+       , static_cast<RealType>(sqrt(8.0L / 6.0L)), tol2);
+    // hazard:
+    BOOST_CHECK_CLOSE(
+       hazard(dist, x)
+       , pdf(dist, x) / cdf(complement(dist, x)), tol2);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE(
+       chf(dist, x)
+       , -log(cdf(complement(dist, x))), tol2);
+    // coefficient_of_variation:
+    BOOST_MATH_CHECK_THROW(
+       coefficient_of_variation(dist),
+       std::overflow_error);
+    // mode:
+    BOOST_CHECK_CLOSE(
+       mean(dist)
+       , static_cast<RealType>(0), tol2);
+    // median:
+    BOOST_CHECK_CLOSE(
+       median(dist)
+       , static_cast<RealType>(0), tol2);
+    // skewness:
+    BOOST_CHECK_CLOSE(
+       skewness(dist)
+       , static_cast<RealType>(0), tol2);
+    // kurtosis:
+    BOOST_CHECK_CLOSE(
+       kurtosis(dist)
+       , static_cast<RealType>(4.5), tol2);
+    // kurtosis excess:
+    BOOST_CHECK_CLOSE(
+       kurtosis_excess(dist)
+       , static_cast<RealType>(1.5), tol2);
+
+    using std::log;
+    using std::sqrt;
+    RealType expected_entropy = (RealType(9)/2)*(boost::math::digamma(RealType(9)/2) - boost::math::digamma(RealType(4))) + log(sqrt(RealType(8))*boost::math::beta(RealType(4), RealType(1)/2));
+    BOOST_CHECK_CLOSE(
+       entropy(dist)
+       , expected_entropy, 300*tol2);
+
+    // Parameter estimation. These results are close to but
+    // not identical to those reported on the NIST website at
+    // http://www.itl.nist.gov/div898/handbook/prc/section2/prc222.htm
+    // the NIST results appear to be calculated using a normal
+    // approximation, which slightly under-estimates the degrees of
+    // freedom required, particularly when the result is small.
+    //
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(0.5),
+         static_cast<RealType>(0.005),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         99);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(1.5),
+         static_cast<RealType>(0.005),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         14);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(0.5),
+         static_cast<RealType>(0.025),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         76);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(1.5),
+         static_cast<RealType>(0.025),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         11);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(0.5),
+         static_cast<RealType>(0.05),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         65);
+    BOOST_CHECK_EQUAL(
+       ceil(students_t_distribution<RealType>::find_degrees_of_freedom(
+         static_cast<RealType>(1.5),
+         static_cast<RealType>(0.05),
+         static_cast<RealType>(0.01),
+         static_cast<RealType>(1.0))),
+         9);
+
+    // Test for large degrees of freedom when should be same as normal.
+    RealType inf = std::numeric_limits<RealType>::infinity();
+    RealType nan = std::numeric_limits<RealType>::quiet_NaN();
+
+    std::string type = typeid(RealType).name();
+//    if (type != "class boost::math::concepts::real_concept") fails for gcc
+    if (typeid(RealType) != typeid(boost::math::concepts::real_concept))
+    { // Ordinary floats only.
+      RealType limit = 1/ boost::math::tools::epsilon<RealType>();
+      // Default policy to get full accuracy.
+      // std::cout << "Switch over to normal if df > " << limit << std::endl;
+      // float Switch over to normal if df > 8.38861e+006
+      // double Switch over to normal if df > 4.5036e+015
+      // Can't test real_concept - doesn't converge.
+
+      boost::math::normal_distribution<RealType> n(0, 1); // 
+      students_t_distribution<RealType> st(boost::math::tools::max_value<RealType>()); // Well over the switchover point,
+      // PDF
+      BOOST_CHECK_EQUAL(pdf(st, 0), pdf(n, 0.)); // Should be exactly equal.
+
+      students_t_distribution<RealType> st2(limit /5 ); // Just below the switchover point,
+      BOOST_CHECK_CLOSE_FRACTION(pdf(st2, 0), pdf(n, 0.), tolerance); // Should be very close to normal.
+      // CDF
+      BOOST_CHECK_EQUAL(cdf(st, 0), cdf(n, 0.)); // Should be exactly equal.
+      BOOST_CHECK_CLOSE_FRACTION(cdf(st2, 0), cdf(n, 0.), tolerance); // Should be very close to normal.
+
+      // Tests for df = infinity.
+      students_t_distribution<RealType> infdf(inf);
+      BOOST_CHECK_EQUAL(infdf.degrees_of_freedom(), inf);
+      BOOST_CHECK_EQUAL(mean(infdf), 0); // OK.
+#ifndef BOOST_NO_EXCEPTIONS
+      BOOST_MATH_CHECK_THROW(students_t_distribution<RealType> minfdf(-inf), std::domain_error);
+      BOOST_MATH_CHECK_THROW(students_t_distribution<RealType> minfdf(nan), std::domain_error);
+      BOOST_MATH_CHECK_THROW(students_t_distribution<RealType> minfdf(-nan), std::domain_error);
+#endif
+      BOOST_CHECK_EQUAL(pdf(infdf, -inf), 0);
+      BOOST_CHECK_EQUAL(pdf(infdf, +inf), 0);
+      BOOST_CHECK_EQUAL(cdf(infdf, -inf), 0);
+      BOOST_CHECK_EQUAL(cdf(infdf, +inf), 1);
+
+     // BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0), static_cast<RealType>(0.3989422804014326779399460599343818684759L), tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(pdf(infdf, 0),boost::math::constants::one_div_root_two_pi<RealType>() , tolerance);
+      BOOST_CHECK_CLOSE_FRACTION(cdf(infdf, 0),boost::math::constants::half<RealType>() , tolerance);
+
+    // Checks added for Trac #7717 report by Thomas Mang.
+
+    BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+    BOOST_MATH_CHECK_THROW(quantile(dist, 2), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(students_t_distribution<RealType>(0), 0), std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(students_t_distribution<RealType>(-1), 0), std::domain_error);
+  
+    // Check on df for mean (moment k = 1)
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(nan)), std::domain_error);
+//    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(inf)), std::domain_error); inf is now OK
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(mean(students_t_distribution<RealType>(1)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(mean(students_t_distribution<RealType>(2)), 0); // OK.
+    BOOST_CHECK_EQUAL(mean(students_t_distribution<RealType>(inf)), 0); // OK.
+
+    // Check on df for variance (moment 2)
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(nan)), std::domain_error);
+//    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(inf)), std::domain_error); // inf is now OK.
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(static_cast<RealType>(1.99999L))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(static_cast<RealType>(1.99999L))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(variance(students_t_distribution<RealType>(2)), std::domain_error); // df == 
+    BOOST_CHECK_EQUAL(variance(students_t_distribution<RealType>(2.5)), 5); // OK.
+    BOOST_CHECK_EQUAL(variance(students_t_distribution<RealType>(3)), 3); // OK.
+    BOOST_CHECK_EQUAL(variance(students_t_distribution<RealType>(inf)), 1); // OK.
+
+    // Check on df for skewness (moment 3)
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(nan)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(1.5L)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(2)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(skewness(students_t_distribution<RealType>(3)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(skewness(students_t_distribution<RealType>(3.5)), 0); // OK.
+    BOOST_CHECK_EQUAL(skewness(students_t_distribution<RealType>(4)), 0); // OK.
+    BOOST_CHECK_EQUAL(skewness(students_t_distribution<RealType>(inf)), 0); // OK.
+
+    // Check on df for kurtosis_excess (moment 4)
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(nan)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(1.5L)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(2)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(static_cast<RealType>(2.1))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(3)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis_excess(students_t_distribution<RealType>(4)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(kurtosis_excess(students_t_distribution<RealType>(5)), 6); // OK.
+    BOOST_CHECK_EQUAL(kurtosis_excess(students_t_distribution<RealType>(inf)), 0); // OK.
+
+    // Check on df for kurtosis (moment 4)
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(nan)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(-1)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(0)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(1)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(2)), std::domain_error); 
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(static_cast<RealType>(2.0001L))), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(3)), std::domain_error);
+    BOOST_MATH_CHECK_THROW(kurtosis(students_t_distribution<RealType>(4)), std::domain_error); // df == k
+    BOOST_CHECK_EQUAL(kurtosis(students_t_distribution<RealType>(5)), 9); // OK.
+    BOOST_CHECK_EQUAL(kurtosis(students_t_distribution<RealType>(inf)), 3); // OK.
+
+   }
+
+
+    // Use a new distribution ignore_error_students_t with a custom policy to ignore all errors,
+    // and check returned values are as expected.
+
+    /* 
+     Sandia-darwin-intel-12.0 - math - test_students_t / intel-darwin-12.0
+    ../libs/math/test/test_students_t.cpp(544): error: "domain_error" has already been declared in the current scope
+    using boost::math::policies::domain_error;
+
+../libs/math/test/test_students_t.cpp(552): error: "pole_error" has already been declared in the current scope
+    using boost::math::policies::pole_error;
+
+    Unclear where previous declaration is. 
+    Does not seem to be in student_t.hpp or any included files???
+
+    So to avoid this perceived problem by this compiler,
+    the ignore policy below uses fully specified names.
+    */
+
+    using boost::math::policies::policy;
+  // Types of error whose action can be altered by policies:.
+  //using boost::math::policies::evaluation_error;
+  //using boost::math::policies::domain_error;
+  //using boost::math::policies::overflow_error;
+  //using boost::math::policies::underflow_error;
+  //using boost::math::policies::domain_error;
+  //using boost::math::policies::pole_error;
+
+  //// Actions on error (in enum error_policy_type):
+  //using boost::math::policies::errno_on_error;
+  //using boost::math::policies::ignore_error;
+  //using boost::math::policies::throw_on_error;
+  //using boost::math::policies::denorm_error;
+  //using boost::math::policies::pole_error;
+  //using boost::math::policies::user_error;
+
+  typedef policy<
+    boost::math::policies::domain_error<boost::math::policies::ignore_error>,
+    boost::math::policies::overflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::underflow_error<boost::math::policies::ignore_error>,
+    boost::math::policies::denorm_error<boost::math::policies::ignore_error>,
+    boost::math::policies::pole_error<boost::math::policies::ignore_error>,
+    boost::math::policies::evaluation_error<boost::math::policies::ignore_error>
+              > my_ignore_policy;
+
+  typedef students_t_distribution<RealType, my_ignore_policy> ignore_error_students_t;
+
+
+
+  // Only test NaN and infinity if type has these features (realconcept returns zero).
+  // Integers are always converted to RealType,
+  // others requires static cast to RealType from long double.
+
+  if(std::numeric_limits<RealType>::has_quiet_NaN)
+  {
+  // Mean
+    BOOST_CHECK((boost::math::isnan)(mean(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(mean(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(mean(ignore_error_students_t(1))));
+
+    // Variance
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(static_cast<RealType>(1.7L)))));
+    BOOST_CHECK((boost::math::isnan)(variance(ignore_error_students_t(2))));
+
+  // Skewness
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(2))));
+    BOOST_CHECK((boost::math::isnan)(skewness(ignore_error_students_t(3))));
+
+  // Kurtosis 
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(2))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(static_cast<RealType>(2.0001L)))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(3))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis(ignore_error_students_t(4))));
+ 
+    // Kurtosis excess
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(std::numeric_limits<RealType>::quiet_NaN()))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(-1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(0))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(1))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(2))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(static_cast<RealType>(2.0001L)))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(3))));
+    BOOST_CHECK((boost::math::isnan)(kurtosis_excess(ignore_error_students_t(4))));
+  } // has_quiet_NaN
+
+  BOOST_CHECK(boost::math::isfinite(mean(ignore_error_students_t(1 + std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(variance(ignore_error_students_t(2 + 2 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(variance(ignore_error_students_t(static_cast<RealType>(2.0001L)))));
+  BOOST_CHECK(boost::math::isfinite(variance(ignore_error_students_t(2 + 2 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(skewness(ignore_error_students_t(3 + 3 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_students_t(4 + 4 * std::numeric_limits<RealType>::epsilon()))));
+  BOOST_CHECK(boost::math::isfinite(kurtosis(ignore_error_students_t(static_cast<RealType>(4.0001L)))));
+
+  // check_out_of_range<students_t_distribution<RealType> >(1);
+  // Cannot be used because fails "exception std::domain_error is expected but not raised" 
+  // if df = +infinity is allowed, must use new version that allows skipping infinity tests.
+  // Infinite == true
+
+  check_support<students_t_distribution<RealType> >(students_t_distribution<RealType>(1), true);
+
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can construct students_t distribution using the two convenience methods:
+  using namespace boost::math;
+  students_t myst1(2); // Using typedef
+  students_t_distribution<> myst2(2); // Using default RealType double.
+   //students_t_distribution<double> myst3(2); // Using explicit RealType double.
+
+   // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_students_t.exe"
+Running 1 test case...
+Tolerance for type float is 0.0001 %
+Tolerance for type double is 0.0001 %
+Tolerance for type long double is 0.0001 %
+Tolerance for type class boost::math::concepts::real_concept is 0.0001 %
+*** No errors detected
+
+*/
+
+
diff --git a/src/boost/libs/math/test/test_t_test.cpp b/src/boost/libs/math/test/test_t_test.cpp
new file mode 100644
index 000000000..b3de5d3f7
--- /dev/null
+++ b/src/boost/libs/math/test/test_t_test.cpp
@@ -0,0 +1,95 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <vector>
+#include <random>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/math/statistics/t_test.hpp>
+
+template<typename Real>
+void test_exact_mean()
+{
+    // Of course this test seems obvious, but just for the sake of comfort, here's the Mathematica to demo this test:
+    // data3 = RandomReal[NormalDistribution[], 1024];
+    // NumberForm[TTest[data3, Mean[data3], "TestStatistic"], 16]
+    // NumberForm[TTest[data3, Mean[data3], "PValue"], 16]
+    std::mt19937 gen{5125122};
+    std::normal_distribution<Real> dis{0,3};
+    std::vector<Real> v(1024);
+    for (auto & x : v) {
+      x = dis(gen);
+    }
+
+    Real mu = boost::math::statistics::mean(v);
+
+    auto [computed_statistic, computed_pvalue] = boost::math::statistics::one_sample_t_test(v, mu);
+
+    CHECK_MOLLIFIED_CLOSE(Real(0), computed_statistic, 10*std::numeric_limits<Real>::epsilon());
+    CHECK_ULP_CLOSE(Real(1), computed_pvalue, 9);
+}
+
+void test_agreement_with_mathematica()
+{
+    // Reproduce via:
+    //data = RandomReal[NormalDistribution[], 128];
+    //NumberForm[data, 16]
+    //NumberForm[TTest[data, 0.0, "TestStatistic"], 16]
+    //NumberForm[TTest[data, 0.0, "PValue"], 16]
+    std::vector<double> v{1.270498757865948,-0.7097895555907483,1.151445006538434,0.915648732663531,-0.7480131480881454,-0.6837323220203325,
+                          2.362877076786142,2.438188734959438,0.1644154283470843,-0.980857299461513,-0.1448627006957758,0.04901437671768214,
+                          -0.3895499730435337,1.412356512608596,-0.3865249523080916,-0.6159322168089271,-0.1865107372684944,-0.152509328597876,
+                          1.142603106429423,-1.358368106645048,0.2268475747885975,0.4029249376986136,0.1167407378850566,0.05532794835680535,
+                          -1.928794899326586,0.6496438708570567,0.269012797381103,-0.908168796067257,-0.6194990582309883,1.606256899489664,
+                          -0.903964536847682,-1.375889704354273,0.04906080087803202,0.2039077019578547,-0.4907377045195846,-0.4781929001716083,
+                          -0.2289802280011548,-1.339055086640687,-0.3120811524451416,0.06142580393246503,-0.140496390441262,-0.6482824149508374,
+                          -0.2944027976542998,1.619416512991051,0.6285648262611375,1.312636016409526,-1.109965359363169,-0.774547681114892,
+                          -0.344875897907528,0.816762481553918,0.1500701005574458,0.807790349338737,-0.2052962007348396,1.057657121384678,
+                          0.836142529983228,0.3432803448381389,-0.01268905497569333,-1.144036865790547,-0.4530056923174255,-0.3061160863293071,
+                          -0.02963689772198411,-1.33671649419749,-0.06052105439831394,0.973282554859066,-1.643904288065807,-1.0293884110541,
+                          -0.5291066659852803,-0.3294227039691209,0.002993387508002654,0.2248580674319177,0.574521694409057,1.041337304293327,
+                          0.4078548122453237,0.1112225876991191,-0.6448072259486091,-0.3051345048257077,0.089593933234481,0.4611768867673915,
+                          0.7644315320471444,-0.341247840010495,0.0326958894744302,-0.05121900335567795,-0.06019531049352196,1.71234441194424,
+                          -0.04175157932686885,0.769694813995503,-1.080913235981393,0.5989354496438777,-0.84416230123901,0.03165655009402087,
+                          -0.7502374585144876,-2.734748382516766,1.541068679878993,0.1054620771416859,-0.6543692934553028,1.499220114211276,
+                          -0.342006571062175,-0.2053132127077213,0.5457125644270833,-0.7956250897267784,0.7320742348115779,0.4674423735122585,
+                          -0.3087396963145776,-1.53764162258267,0.2455449906251891,0.3795993803250636,-0.1195480230909131,0.137639511052913,
+                          0.931721348902457,0.06704522870668304,-0.03773030445251862,0.3888322348695948,-0.06366757901233728,0.5563758371320388,
+                          -0.7918177216642121,-0.7566297580399533,-0.3740377818446702,-0.6065664299451118,-0.2341124269010213,2.028052675971757,
+                          0.378550889251416,0.816911727914731,1.162652387697876,-0.3853743867873177,1.196620648443396,0.01265660717000745,
+                          1.816698960862263,-0.972941421015463};
+
+
+    double expected_statistic = 0.4587075249160456;
+    double expected_pvalue = 0.6472282548266728;
+
+    auto [computed_statistic, computed_pvalue] = boost::math::statistics::one_sample_t_test(v, 0.0);
+
+    CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 8);
+    CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 90);
+
+
+    {
+        std::vector<double> v = {0.7304375676969546,3.227250635039257,1.01821954205186};
+
+        expected_statistic = 2.103013485037935;
+        expected_pvalue = 0.1701790440880712;
+
+        auto [computed_statistic, computed_pvalue] = boost::math::statistics::one_sample_t_test(v, 0.0);
+        CHECK_ULP_CLOSE(expected_statistic, computed_statistic, 2);
+        CHECK_ULP_CLOSE(expected_pvalue, computed_pvalue, 7);
+    }
+}
+
+
+int main()
+{
+    test_agreement_with_mathematica();
+    test_exact_mean<float>();
+    test_exact_mean<double>();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/test_tgamma_ratio.cpp b/src/boost/libs/math/test/test_tgamma_ratio.cpp
new file mode 100644
index 000000000..02fff3d6e
--- /dev/null
+++ b/src/boost/libs/math/test/test_tgamma_ratio.cpp
@@ -0,0 +1,180 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_tgamma_ratio.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the gamma ratio functions tgamma_ratio,
+// and tgamma_delta_ratio. The accuracy tests
+// use values generated with NTL::RR at 1000-bit precision
+// and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // HP-UX
+   // This is a weird one, HP-UX and Mac OS X show up errors at float
+   // precision, that don't show up on other platforms.
+   // There appears to be some kind of rounding issue going on (not enough
+   // precision in the input to get the answer right):
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "HP-UX|Mac OS|linux|.*(bsd|BSD).*",      // platform
+      "float",                          // test type(s)
+      "[^|]*",                          // test data group
+      "tgamma_ratio[^|]*", 35, 8);                 // test function
+   //
+   // Linux AMD x86em64 has slightly higher rates:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 300, 100);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "linux.*",                          // platform
+      "real_concept",                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 300, 100);                 // test function
+
+   add_expected_result(
+      "GNU.*",                          // compiler
+      "[^|]*",                          // stdlib
+      "Win32.*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 300, 100);                 // test function
+   //
+   // Solaris:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      ".*Solaris.*",                    // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 200, 100);                 // test function
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",                          // test data group
+      "tgamma_delta_ratio[^|]*", 30, 20);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      largest_type,                     // test type(s)
+      "[^|]*",               // test data group
+      "tgamma_ratio[^|]*", 100, 50);                 // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",                          // test data group
+      "tgamma_delta_ratio[^|]*", 50, 20); // test function
+   add_expected_result(
+      "[^|]*",                          // compiler
+      "[^|]*",                          // stdlib
+      "[^|]*",                          // platform
+      "real_concept",                   // test type(s)
+      "[^|]*",               // test data group
+      "[^|]*", 250, 150);                 // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   expected_results();
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_tgamma_ratio(0.1F, "float");
+#endif
+   test_tgamma_ratio(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_tgamma_ratio(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_tgamma_ratio(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.1F, "float");
+#endif
+   test_spots(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
+
diff --git a/src/boost/libs/math/test/test_tgamma_ratio.hpp b/src/boost/libs/math/test/test_tgamma_ratio.hpp
new file mode 100644
index 000000000..23f1946fc
--- /dev/null
+++ b/src/boost/libs/math/test/test_tgamma_ratio.hpp
@@ -0,0 +1,183 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real>
+struct negative_tgamma_ratio
+{
+   template <class Row>
+   Real operator()(const Row& row)
+   {
+#ifdef TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST
+      return TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST(Real(row[0]), Real(-Real(row[1])));
+#else
+      return boost::math::tgamma_delta_ratio(Real(row[0]), Real(-Real(row[1])));
+#endif
+   }
+};
+
+template <class Real, class T>
+void do_test_tgamma_delta_ratio(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma_delta_ratio<value_type, value_type>;
+#else
+   pg funcp = boost::math::tgamma_delta_ratio;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma_delta_ratio against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_delta_ratio", test_name);
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      negative_tgamma_ratio<Real>(),
+      extract_result<Real>(3));
+   std::string s(test_name);
+   s += " (negative delta)";
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_delta_ratio", s.c_str());
+#endif
+}
+
+template <class Real, class T>
+void do_test_tgamma_ratio(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type, value_type);
+#ifdef TGAMMA_RATIO_FUNCTION_TO_TEST
+   pg funcp = TGAMMA_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::tgamma_ratio<value_type, value_type>;
+#else
+   pg funcp = boost::math::tgamma_ratio;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test tgamma_ratio against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0, 1),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_ratio", test_name);
+#endif
+}
+
+template <class T>
+void test_tgamma_ratio(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#  include "tgamma_delta_ratio_data.ipp"
+
+   do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_data, name, "tgamma + small delta ratios");
+
+#  include "tgamma_delta_ratio_int.ipp"
+
+   do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_int, name, "tgamma + small integer ratios");
+
+#  include "tgamma_delta_ratio_int2.ipp"
+
+   do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_int2, name, "integer tgamma ratios");
+
+#  include "tgamma_ratio_data.ipp"
+
+   do_test_tgamma_ratio<T>(tgamma_ratio_data, name, "tgamma ratios");
+
+}
+
+template <class T>
+void test_spots(T, const char*)
+{
+#ifdef _MSC_VER
+# pragma warning(push)
+# pragma warning(disable:4127 4756)
+#endif
+   //
+   // A few special spot tests:
+   //
+   BOOST_MATH_STD_USING
+   T tol = boost::math::tools::epsilon<T>() * 20;
+   if(std::numeric_limits<T>::max_exponent > 200)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -500)), T(180.25)), T(8.0113754557649679470816892372669519037339812035512e-178L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -525)), T(192.25)), T(1.5966560279353205461166489184101261541784867035063e-197L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(182.25), T(ldexp(T(1), -500))), T(4.077990437521002194346763299159975185747917450788e+181L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(193.25), T(ldexp(T(1), -525))), T(1.2040790040958522422697601672703926839178050326148e+199L), 3 * tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(193.25), T(194.75)), T(0.00037151765099653237632823607820104961270831942138159L), 3 * tol);
+   }
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(0), T(2)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), T(0)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(-1), T(2)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), T(-1)), std::domain_error);
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(std::numeric_limits<T>::infinity(), T(2)), std::domain_error);
+      BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), std::numeric_limits<T>::infinity()), std::domain_error);
+   }
+   //
+   // Some bug cases from Rocco Romeo:
+   //
+   if(std::numeric_limits<T>::min_exponent < -1020)
+   {
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(100)), T(1.20390418056093374068585549133304106854441830616070800417660e151L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(150)), T(2.94980580122226729924781231239336413648584663386992050529324e46L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(180)), T(1.00669209319561468911303652019446665496398881230516805140750e-20L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(220)), T(1.08230263539550701700187215488533416834407799907721731317227e-112L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(260)), T(7.62689807594728483940172477902929825624752380292252137809206e-208L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(290)), T(5.40206998243175672775582485422795773284966068149812072521290e-281L), tol);
+      BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(ldexp(T(1), -1020)), T(ldexp(T(1), -1020))), T(2), tol);
+      if(0 != ldexp(T(1), -1074))
+      {
+         // This is denorm_min at double precision:
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1074)), T(200)), T(5.13282785052571536804189023927976812551830809667482691717029e-50), tol * 50);
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(200), T(ldexp(T(1), -1074))), T(1.94824379293682687942882944294875087145333536754699303593931e49), tol * 10);
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(ldexp(T(1), -1074)), T(200)), T(5.13282785052571536804189023927976812551830809667482691717029e-50), tol * 10);
+         BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(200), T(ldexp(T(1), -1074))), T(1), tol);
+      }
+   }
+}
diff --git a/src/boost/libs/math/test/test_toms748_solve.cpp b/src/boost/libs/math/test/test_toms748_solve.cpp
new file mode 100644
index 000000000..5a40055cc
--- /dev/null
+++ b/src/boost/libs/math/test/test_toms748_solve.cpp
@@ -0,0 +1,273 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch.hpp>
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/tools/toms748_solve.hpp>
+#include <boost/math/special_functions/gamma.hpp>
+#include <boost/math/special_functions/beta.hpp>
+#include <iostream>
+#include <iomanip>
+
+//
+// Test functor implements the same test cases as used by
+// "Algorithm 748: Enclosing Zeros of Continuous Functions"
+// by G.E. Alefeld, F.A. Potra and Yixun Shi.
+//
+// Plus two more: one for inverting the incomplete gamma,
+// and one for inverting the incomplete beta.
+//
+template <class T>
+struct toms748tester
+{
+   toms748tester(unsigned i) : k(i), ip(0), a(0), b(0){}
+   toms748tester(unsigned i, int ip_) : k(i), ip(ip_), a(0), b(0){}
+   toms748tester(unsigned i, T a_, T b_) : k(i), ip(0), a(a_), b(b_){}
+
+   static unsigned total_calls()
+   {
+      return invocations;
+   }
+   static void reset()
+   {
+      invocations = 0;
+   }
+
+   T operator()(T x)
+   {
+      using namespace std;
+
+      ++invocations;
+      switch(k)
+      {
+      case 1:
+         return sin(x) - x / 2;
+      case 2:
+         {
+            T r = 0;
+            for(int i = 1; i <= 20; ++i)
+            {
+               T p = (2 * i - 5);
+               T q = x - i * i;
+               r += p * p / (q * q * q);
+            }
+            r *= -2;
+            return r;
+         }
+      case 3:
+         return a * x * exp(b * x);
+      case 4:
+         return pow(x, b) - a;
+      case 5:
+         return sin(x) - 0.5;
+      case 6:
+         return 2 * x * exp(-T(ip)) - 2 * exp(-ip * x) + 1;
+      case 7:
+         return (1 + (1 - ip) * (1 - ip)) * x - (1 - ip * x) * (1 - ip * x);
+      case 8:
+         return x * x - pow(1 - x, a);
+      case 9:
+         return (1 + (1 - ip) * (1 - ip) * (1 - ip) * (1 - ip)) * x - (1 - ip * x) * (1 - ip * x) * (1 - ip * x) * (1 - ip * x);
+      case 10:
+         return exp(-ip * x) * (x - 1) + pow(x, T(ip));
+      case 11:
+         return (ip * x - 1) / ((ip - 1) * x);
+      case 12:
+         return pow(x, T(1)/ip) - pow(T(ip), T(1)/ip);
+      case 13:
+         return x == 0 ? 0 : x * exp(-1 / (x * x));
+      case 14:
+         return x >= 0 ? (T(ip)/20) * (x / 1.5f + sin(x) - 1) : -T(ip)/20;
+      case 15:
+         {
+            T d = 2e-3f / (1+ip);
+            if(x > d)
+               return exp(1.0) - 1.859;
+            else if(x > 0)
+               return exp((ip+1)*x*1000 / 2) - 1.859;
+            return -0.859f;
+         }
+      case 16:
+         {
+            return boost::math::gamma_q(x, a) - b;
+         }
+      case 17:
+         return boost::math::ibeta(x, a, 0.5) - b;
+      }
+      return 0;
+   }
+private:
+   int k; // index of problem.
+   int ip; // integer parameter
+   T a, b; // real parameter
+
+   static unsigned invocations;
+};
+
+template <class T>
+unsigned toms748tester<T>::invocations = 0;
+
+boost::uintmax_t total = 0;
+boost::uintmax_t invocations = 0;
+
+template <class T>
+void run_test(T a, T b, int id)
+{
+   boost::uintmax_t c = 1000;
+   std::pair<double, double> r = toms748_solve(toms748tester<double>(id), 
+      a, 
+      b, 
+      boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+      c);
+   BOOST_CHECK_EQUAL(c, toms748tester<double>::total_calls());
+   total += c;
+   invocations += toms748tester<double>::total_calls();
+   std::cout << "Function " << id << "\nresult={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+   toms748tester<double>::reset();
+}
+
+template <class T>
+void run_test(T a, T b, int id, int p)
+{
+   boost::uintmax_t c = 1000;
+   std::pair<double, double> r = toms748_solve(toms748tester<double>(id, p), 
+      a, 
+      b, 
+      boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+      c);
+   BOOST_CHECK_EQUAL(c, toms748tester<double>::total_calls());
+   total += c;
+   invocations += toms748tester<double>::total_calls();
+   std::cout << "Function " << id << "\nresult={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+   toms748tester<double>::reset();
+}
+
+template <class T>
+void run_test(T a, T b, int id, T p1, T p2)
+{
+   boost::uintmax_t c = 1000;
+   std::pair<double, double> r = toms748_solve(toms748tester<double>(id, p1, p2), 
+      a, 
+      b, 
+      boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+      c);
+   BOOST_CHECK_EQUAL(c, toms748tester<double>::total_calls());
+   total += c;
+   invocations += toms748tester<double>::total_calls();
+   std::cout << "Function " << id << "\n   Result={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+   toms748tester<double>::reset();
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   std::cout << std::setprecision(18);
+   run_test(3.14/2, 3.14, 1);
+
+   for(int i = 1; i <= 10; i += 1)
+   {
+      run_test(i*i + 1e-9, (i+1)*(i+1) - 1e-9, 2);
+   }
+
+   run_test(-9.0, 31.0, 3, -40.0, -1.0);
+   run_test(-9.0, 31.0, 3, -100.0, -2.0);
+   run_test(-9.0, 31.0, 3, -200.0, -3.0);
+
+   for(int n = 4; n <= 12; n += 2)
+   {
+      run_test(0.0, 5.0, 4, 0.2, double(n));
+   }
+   for(int n = 4; n <= 12; n += 2)
+   {
+      run_test(0.0, 5.0, 4, 1.0, double(n));
+   }
+   for(int n = 8; n <= 14; n += 2)
+   {
+      run_test(-0.95, 4.05, 4, 1.0, double(n));
+   }
+   run_test(0.0, 1.5, 5);
+   for(int n = 1; n <= 5; ++n)
+   {
+      run_test(0.0, 1.0, 6, n);
+   }
+   for(int n = 20; n <= 100; n += 20)
+   {
+      run_test(0.0, 1.0, 6, n);
+   }
+   run_test(0.0, 1.0, 7, 5);
+   run_test(0.0, 1.0, 7, 10);
+   run_test(0.0, 1.0, 7, 20);
+   run_test(0.0, 1.0, 8, 2);
+   run_test(0.0, 1.0, 8, 5);
+   run_test(0.0, 1.0, 8, 10);
+   run_test(0.0, 1.0, 8, 15);
+   run_test(0.0, 1.0, 8, 20);
+   run_test(0.0, 1.0, 9, 1);
+   run_test(0.0, 1.0, 9, 2);
+   run_test(0.0, 1.0, 9, 4);
+   run_test(0.0, 1.0, 9, 5);
+   run_test(0.0, 1.0, 9, 8);
+   run_test(0.0, 1.0, 9, 15);
+   run_test(0.0, 1.0, 9, 20);
+   run_test(0.0, 1.0, 10, 1);
+   run_test(0.0, 1.0, 10, 5);
+   run_test(0.0, 1.0, 10, 10);
+   run_test(0.0, 1.0, 10, 15);
+   run_test(0.0, 1.0, 10, 20);
+
+   run_test(0.01, 1.0, 11, 2);
+   run_test(0.01, 1.0, 11, 5);
+   run_test(0.01, 1.0, 11, 15);
+   run_test(0.01, 1.0, 11, 20);
+
+   for(int n = 2; n <= 6; ++n)
+      run_test(1.0, 100.0, 12, n);
+   for(int n = 7; n <= 33; n+=2)
+      run_test(1.0, 100.0, 12, n);
+
+   run_test(-1.0, 4.0, 13);
+
+   for(int n = 1; n <= 40; ++n)
+      run_test(-1e4, 3.14/2, 14, n);
+
+   for(int n = 20; n <= 40; ++n)
+      run_test(-1e4, 1e-4, 15, n);
+
+   for(int n = 100; n <= 1000; n+=100)
+      run_test(-1e4, 1e-4, 15, n);
+
+   std::cout << "Total iterations consumed = " << total << std::endl;
+   std::cout << "Total function invocations consumed = " << invocations << std::endl << std::endl;
+
+   BOOST_CHECK(invocations < 3150);
+
+   std::cout << std::setprecision(18);
+
+   for(int n = 5; n <= 100; n += 10)
+      run_test(sqrt(double(n)), double(n+1), 16, (double)n, 0.4);
+
+   for(int n = 5; n <= 100; n += 10)
+      run_test(double(n / 2), double(2*n), 17, (double)n, 0.4);
+
+
+   for(int n = 4; n <= 12; n += 2)
+   {
+      boost::uintmax_t c = 1000;
+      std::pair<double, double> r = bracket_and_solve_root(toms748tester<double>(4, 0.2, double(n)), 
+         2.0, 
+         2.0,
+         true,
+         boost::math::tools::eps_tolerance<double>(std::numeric_limits<double>::digits), 
+         c);
+      std::cout << std::setprecision(18);
+      std::cout << "Function " << 4 << "\n   Result={" << r.first << ", " << r.second << "} total calls=" << toms748tester<double>::total_calls() << "\n\n";
+      toms748tester<double>::reset();
+      BOOST_CHECK(c < 20);
+   }
+}
+
diff --git a/src/boost/libs/math/test/test_tr1.c b/src/boost/libs/math/test/test_tr1.c
new file mode 100644
index 000000000..345a0c2fe
--- /dev/null
+++ b/src/boost/libs/math/test/test_tr1.c
@@ -0,0 +1,1066 @@
+/*  (C) Copyright John Maddock 2008.
+  Use, modification and distribution are subject to the
+  Boost Software License, Version 1.0. (See accompanying file
+  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+  */
+
+#include <math.h>
+#include <float.h>
+#include <stdio.h>
+
+#include <boost/math/tr1.hpp>
+
+unsigned errors = 0;
+
+void check_close_f(float v1, float v2, float tol, int line)
+{
+   float err;
+   if((v1 == 0) || (v2 ==0))
+   {
+      err = fabsf(v1 - v2);
+   }
+   else
+   {
+      err = fabsf((v1 - v2) / v2);
+   }
+   if(err * 100 > tol)
+   {
+      errors += 1;
+      printf("Error at line %d, with error %e (max allowed %e)\n", line, (double)err, (double)(tol / 100));
+   }
+}
+void check_close(double v1, double v2, double tol, int line)
+{
+   double err;
+   if((v1 == 0) || (v2 ==0))
+   {
+      err = fabs(v1 - v2);
+   }
+   else
+   {
+      err = fabs((v1 - v2) / v2);
+   }
+   if(err * 100 > tol)
+   {
+      errors += 1;
+      printf("Error at line %d, with error %e (max allowed %e)\n", line, (double)err, (double)(tol / 100));
+   }
+}
+void check_close_l(long double v1, long double v2, long double tol, int line)
+{
+   long double err;
+   if((v1 == 0) || (v2 ==0))
+   {
+      err = fabsl(v1 - v2);
+   }
+   else
+   {
+      err = fabsl((v1 - v2) / v2);
+   }
+   if(err * 100 > tol)
+   {
+      errors += 1;
+      printf("Error at line %d, with error %e (max allowed %e)\n", line, (double)err, (double)(tol / 100));
+   }
+}
+
+void check(int b, int line)
+{
+   if(b == 0)
+   {
+      errors += 1;
+      printf("Error at line %d\n", line);
+   }
+}
+
+void check_close_fraction_f(float v1, float v2, float tol, int line)
+{
+   check_close_f(v1, v2, tol * 100, line);
+}
+void check_close_fraction(double v1, double v2, double tol, int line)
+{
+   check_close(v1, v2, tol * 100, line);
+}
+void check_close_fraction_l(long double v1, long double v2, long double tol, int line)
+{
+   check_close_l(v1, v2, tol * 100, line);
+}
+
+void test_values_f(const char* name)
+{
+#ifndef TEST_LD
+   //
+   // First the C99 math functions:
+   //
+   float eps = FLT_EPSILON;
+   float sv;
+   check_close_f(acoshf(coshf(0.5f)), 0.5f, 5000 * eps, __LINE__);
+   check_close_f(asinhf(sinhf(0.5f)), 0.5f, 5000 * eps, __LINE__);
+   check_close_f(atanhf(tanhf(0.5f)), 0.5f, 5000 * eps, __LINE__);
+
+   check_close_f(cbrtf(1.5f * 1.5f * 1.5f), 1.5f, 5000 * eps, __LINE__);
+
+   check(copysignf(1.0f, 1.0f) == 1.0f, __LINE__);
+   check(copysignf(1.0f, -1.0f) == -1.0f, __LINE__);
+   check(copysignf(-1.0f, 1.0f) == 1.0f, __LINE__);
+   check(copysignf(-1.0f, -1.0f) == -1.0f, __LINE__);
+
+   check_close_f(erfcf(0.125), 0.85968379519866618260697055347837660181302041685015f, eps * 1000, __LINE__);
+   check_close_f(erfcf(0.5), 0.47950012218695346231725334610803547126354842424204f, eps * 1000, __LINE__);
+   check_close_f(erfcf(1), 0.15729920705028513065877936491739074070393300203370f, eps * 1000, __LINE__);
+   check_close_f(erfcf(5), 1.5374597944280348501883434853833788901180503147234e-12f, eps * 1000, __LINE__);
+   check_close_f(erfcf(-0.125), 1.1403162048013338173930294465216233981869795831498f, eps * 1000, __LINE__);
+   check_close_f(erfcf(-0.5), 1.5204998778130465376827466538919645287364515757580f, eps * 1000, __LINE__);
+   check_close_f(erfcf(0), 1, eps * 1000, __LINE__);
+
+   check_close_f(erff(0.125), 0.14031620480133381739302944652162339818697958314985f, eps * 1000, __LINE__);
+   check_close_f(erff(0.5), 0.52049987781304653768274665389196452873645157575796f, eps * 1000, __LINE__);
+   check_close_f(erff(1), 0.84270079294971486934122063508260925929606699796630f, eps * 1000, __LINE__);
+   check_close_f(erff(5), 0.9999999999984625402055719651498116565146166211099f, eps * 1000, __LINE__);
+   check_close_f(erff(-0.125), -0.14031620480133381739302944652162339818697958314985f, eps * 1000, __LINE__);
+   check_close_f(erff(-0.5), -0.52049987781304653768274665389196452873645157575796f, eps * 1000, __LINE__);
+   check_close_f(erff(0), 0, eps * 1000, __LINE__);
+
+   check_close_f(log1pf(0.582029759883880615234375e0), 0.4587086807259736626531803258754840111707e0f, eps * 1000, __LINE__);
+   check_close_f(expm1f(0.582029759883880615234375e0), 0.7896673415707786528734865994546559029663e0f, eps * 1000, __LINE__);
+   check_close_f(log1pf(-0.2047410048544406890869140625e-1), -0.2068660038044094868521052319477265955827e-1f, eps * 1000, __LINE__);
+   check_close_f(expm1f(-0.2047410048544406890869140625e-1), -0.2026592921724753704129022027337835687888e-1f, eps * 1000, __LINE__);
+
+   check_close_f(fmaxf(0.1f, -0.1f), 0.1f, 0, __LINE__);
+   check_close_f(fminf(0.1f, -0.1f), -0.1f, 0, __LINE__);
+
+   check_close_f(hypotf(1.0f, 3.0f), sqrtf(10.0f), eps * 500, __LINE__);
+
+   check_close_f(lgammaf(3.5), 1.2009736023470742248160218814507129957702389154682f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(0.125), 2.0194183575537963453202905211670995899482809521344f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(-0.125), 2.1653002489051702517540619481440174064962195287626f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(-3.125), 0.1543111276840418242676072830970532952413339012367f, 5000 * eps, __LINE__);
+   check_close_f(lgammaf(-53249.0/1024), -149.43323093420259741100038126078721302600128285894f, 5000 * eps, __LINE__);
+
+   check_close_f(tgammaf(3.5), 3.3233509704478425511840640312646472177454052302295f, 5000 * eps, __LINE__);
+   check_close_f(tgammaf(0.125), 7.5339415987976119046992298412151336246104195881491f, 5000 * eps, __LINE__);
+   check_close_f(tgammaf(-0.125), -8.7172188593831756100190140408231437691829605421405f, 5000 * eps, __LINE__);
+   check_close_f(tgammaf(-3.125), 1.1668538708507675587790157356605097019141636072094f, 5000 * eps, __LINE__);
+
+#ifdef BOOST_HAS_LONG_LONG
+   check(llroundf(2.5f) == 3fL, __LINE__);
+   check(llroundf(2.25f) == 2fL, __LINE__);
+#endif
+   check(lroundf(2.5f) == 3.0f, __LINE__);
+   check(lroundf(2.25f) == 2.0f, __LINE__);
+   check(roundf(2.5f) == 3.0f, __LINE__);
+   check(roundf(2.25f) == 2.0f, __LINE__);
+
+   check(nextafterf(1.0f, 2.0f) > 1.0f, __LINE__);
+   check(nextafterf(1.0f, -2.0f) < 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, 2.0f), -2.0f) == 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, -2.0f), 2.0f) == 1.0f, __LINE__);
+   check(nextafterf(1.0f, 2.0f) > 1.0f, __LINE__);
+   check(nextafterf(1.0f, -2.0f) < 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, 2.0f), -2.0f) == 1.0f, __LINE__);
+   check(nextafterf(nextafterf(1.0f, -2.0f), 2.0f) == 1.0f, __LINE__);
+
+   check(truncf(2.5f) == 2.0f, __LINE__);
+   check(truncf(2.25f) == 2.0f, __LINE__);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   check_close_fraction_f(assoc_laguerref(4, 5, 0.5f), 88.31510416666666666666666666666666666667f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 0, 2.5f), -0.8802526766660982969576719576719576719577f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 1, 4.5f), 1.564311458042689732142857142857142857143f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 6, 8.5f), 20.51596541066649098875661375661375661376f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(10, 12, 12.5f), -199.5560968456234671241181657848324514991f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_laguerref(50, 40, 12.5f), -4.996769495006119488583146995907246595400e16f, eps * 100, __LINE__);
+
+   check_close_fraction_f(laguerref(1, 0.5f), 0.5f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(4, 0.5f), -0.3307291666666666666666666666666666666667f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(7, 0.5f), -0.5183392237103174603174603174603174603175f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(20, 0.5f), 0.3120174870800154148915399248893113634676f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(50, 0.5f), -0.3181388060269979064951118308575628226834f, eps * 100, __LINE__);
+
+   check_close_fraction_f(laguerref(1, -0.5f), 1.5f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(4, -0.5f), 3.835937500000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(7, -0.5f), 7.950934709821428571428571428571428571429f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(20, -0.5f), 76.12915699869631476833699787070874048223f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(50, -0.5f), 2307.428631277506570629232863491518399720f, eps * 100, __LINE__);
+
+   check_close_fraction_f(laguerref(1, 4.5f), -3.500000000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(4, 4.5f), 0.08593750000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(7, 4.5f), -1.036928013392857142857142857142857142857f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(20, 4.5f), 1.437239150257817378525582974722170737587f, eps * 100, __LINE__);
+   check_close_fraction_f(laguerref(50, 4.5f), -0.7795068145562651416494321484050019245248f, eps * 100, __LINE__);
+
+   check_close_fraction_f(assoc_legendref(4, 2, 0.5f), 4.218750000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_legendref(7, 5, 0.5f), 5696.789530152175143607977274672800795328f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_legendref(4, 2, -0.5f), 4.218750000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(assoc_legendref(7, 5, -0.5f), 5696.789530152175143607977274672800795328f, eps * 100, __LINE__);
+
+   check_close_fraction_f(legendref(1, 0.5f), 0.5f, eps * 100, __LINE__);
+   check_close_fraction_f(legendref(4, 0.5f), -0.2890625000000000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(legendref(7, 0.5f), 0.2231445312500000000000000000000000000000f, eps * 100, __LINE__);
+   check_close_fraction_f(legendref(40, 0.5f), -0.09542943523261546936538467572384923220258f, eps * 100, __LINE__);
+
+   sv = eps / 1024;
+   check_close_f(betaf(1, 1), 1, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(1, 4), 0.25, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(4, 1), 0.25, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(sv, 4), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(4, sv), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(4, 20), 0.00002823263692828910220214568040654997176736f, eps * 20 * 100, __LINE__);
+   check_close_f(betaf(0.0125f, 0.000023f), 43558.24045647538375006349016083320744662f, eps * 20 * 100, __LINE__);
+
+   check_close_f(comp_ellint_1f(0), 1.5707963267948966192313216916397514420985846996876f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(0.125), 1.5769867712158131421244030532288080803822271060839f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(0.25), 1.5962422221317835101489690714979498795055744578951f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(300/1024.0f), 1.6062331054696636704261124078746600894998873503208f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(400/1024.0f), 1.6364782007562008756208066125715722889067992997614f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(-0.5), 1.6857503548125960428712036577990769895008008941411f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_1f(-0.75), 1.9109897807518291965531482187613425592531451316788f, eps * 5000, __LINE__);
+
+   check_close_f(comp_ellint_2f(-1), 1.0f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(0), 1.5707963267948966192313216916397514420985846996876f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(100 / 1024.0f), 1.5670445330545086723323795143598956428788609133377f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(200 / 1024.0f), 1.5557071588766556854463404816624361127847775545087f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(300 / 1024.0f), 1.5365278991162754883035625322482669608948678755743f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(400 / 1024.0f), 1.5090417763083482272165682786143770446401437564021f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-0.5), 1.4674622093394271554597952669909161360253617523272f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-600 / 1024.0f), 1.4257538571071297192428217218834579920545946473778f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-800 / 1024.0f), 1.2927868476159125056958680222998765985004489572909f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_2f(-900 / 1024.0f), 1.1966864890248739524112920627353824133420353430982f, eps * 5000, __LINE__);
+
+   check_close_f(comp_ellint_3f(0.2f, 0), 1.586867847454166237308008033828114192951f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.4f, 0), 1.639999865864511206865258329748601457626f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.0f, 0), 1.57079632679489661923132169163975144209858469968755291048747f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.0f, 0.5), 2.221441469079183123507940495030346849307f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(0.3f, -4), 0.712708870925620061597924858162260293305195624270730660081949f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.5f, -1e+05), 0.00496944596485066055800109163256108604615568144080386919012831f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.75f, -1e+10), 0.0000157080225184890546939710019277357161497407143903832703317801f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.875f, 1 / 1024.0f), 2.18674503176462374414944618968850352696579451638002110619287f, eps * 5000, __LINE__);
+   check_close_f(comp_ellint_3f(-0.875f, 1023/1024.0f), 101.045289804941384100960063898569538919135722087486350366997f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_bessel_if(2.25f, 1/(1024.0f*1024.0f)), 2.34379212133481347189068464680335815256364262507955635911656e-15f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(5.5f, 3.125), 0.0583514045989371500460946536220735787163510569634133670181210f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-5 + 1.0f/1024.0f, 2.125), 0.0267920938009571023702933210070984416052633027166975342895062f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-5.5f, 10), 597.577606961369169607937419869926705730305175364662688426534f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-10486074.0f/(1024.0f*1024), 1/1024.0f), 1.41474005665181350367684623930576333542989766867888186478185e35f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-10486074.0f/(1024.0f*1024), 50), 1.07153277202900671531087024688681954238311679648319534644743e20f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(144794.0f/1024.0f, 100), 2066.27694757392660413922181531984160871678224178890247540320f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_if(-144794.0f/1024.0f, 100), 2066.27694672763190927440969155740243346136463461655104698748f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_bessel_jf(2457/1024.0f, 1/1024.0f), 3.80739920118603335646474073457326714709615200130620574875292e-9f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.5f, 3217.0f/1024), 0.0281933076257506091621579544064767140470089107926550720453038f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 3217.0f/1024), -2.55820064470647911823175836997490971806135336759164272675969f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 1e+04), 2.449843111985605522111159013846599118397e-03f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.5f, 1e+04), 0.00759343502722670361395585198154817047185480147294665270646578f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.5f, 1e+06), -0.000747424248595630177396350688505919533097973148718960064663632f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.125f, 1e+06), -0.000776600124835704280633640911329691642748783663198207360238214f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(5.875f, 1e+06), -0.000466322721115193071631008581529503095819705088484386434589780f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(0.5f, 101), 0.0358874487875643822020496677692429287863419555699447066226409f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 1e+04), 0.00244984311198560552211115901384659911839737686676766460822577f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-5.5f, 1e+06), 0.000279243200433579511095229508894156656558211060453622750659554f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-0.5f, 101), 0.0708184798097594268482290389188138201440114881159344944791454f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-10486074 / (1024*1024.0f), 1/1024.0f), 1.41474013160494695750009004222225969090304185981836460288562e35f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-10486074 / (1024*1024.0f), 15), -0.0902239288885423309568944543848111461724911781719692852541489f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(10486074 / (1024*1024.0f), 1e+02f), -0.0547064914615137807616774867984047583596945624129838091326863f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(10486074 / (1024*1024.0f), 2e+04f), -0.00556783614400875611650958980796060611309029233226596737701688f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_jf(-10486074 / (1024*1024.0f), 1e+02f), -0.0547613660316806551338637153942604550779513947674222863858713f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_bessel_kf(0.5f, 0.875), 0.558532231646608646115729767013630967055657943463362504577189f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(0.5f, 1.125), 0.383621010650189547146769320487006220295290256657827220786527f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(2.25f, ldexpf(1.0f, -30)), 5.62397392719283271332307799146649700147907612095185712015604e20f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(5.5f, 3217/1024.0f), 1.30623288775012596319554857587765179889689223531159532808379f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(-5.5f, 10), 0.0000733045300798502164644836879577484533096239574909573072142667f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(-5.5f, 100), 5.41274555306792267322084448693957747924412508020839543293369e-45f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(10240/1024.0f, 1/1024.0f), 2.35522579263922076203415803966825431039900000000993410734978e38f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(10240/1024.0f, 10), 0.00161425530039067002345725193091329085443750382929208307802221f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(144793/1024.0f, 100), 1.39565245860302528069481472855619216759142225046370312329416e-6f, eps * 5000, __LINE__);
+   check_close_f(cyl_bessel_kf(144793/1024.0f, 200), 0.0f, eps * 5000, __LINE__);
+
+   check_close_f(cyl_neumannf(0.5f, 1 / (1024.0f*1024)), -817.033790261762580469303126467917092806755460418223776544122f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(5.5f, 3.125), -2.61489440328417468776474188539366752698192046890955453259866f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-5.5f, 3.125), -0.0274994493896489729948109971802244976377957234563871795364056f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-5.5f, 1e+04), -0.00759343502722670361395585198154817047185480147294665270646578f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-10486074 / (1024*1024.0f), 1/1024.0f), -1.50382374389531766117868938966858995093408410498915220070230e38f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-10486074 / (1024*1024.0f), 1e+02f), 0.0583041891319026009955779707640455341990844522293730214223545f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(141.75f, 1e+02), -5.38829231428696507293191118661269920130838607482708483122068e9f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(141.75f, 2e+04), -0.00376577888677186194728129112270988602876597726657372330194186f, eps * 5000, __LINE__);
+   check_close_f(cyl_neumannf(-141.75f, 1e+02), -3.81009803444766877495905954105669819951653361036342457919021e9f, eps * 5000, __LINE__);
+
+   check_close_f(ellint_1f(0, 0), 0, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0, -10), -10, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(-1, -1), -1.2261911708835170708130609674719067527242483502207f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.875f, -4), -5.3190556182262405182189463092940736859067548232647f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(-0.625f, 8), 9.0419973860310100524448893214394562615252527557062f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.875f, 1e-05f), 0.000010000000000127604166668510945638036143355898993088f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(10/1024.0f, 1e+05f), 100002.38431454899771096037307519328741455615271038f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(1, 1e-20f), 1.0000000000000000000000000000000000000000166666667e-20f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(1e-20f, 1e-20f), 1.000000000000000e-20f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(400/1024.0f, 1e+20f), 1.0418143796499216839719289963154558027005142709763e20f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 2), 2.1765877052210673672479877957388515321497888026770f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 4), 4.2543274975235836861894752787874633017836785640477f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 6), 6.4588766202317746302999080620490579800463614807916f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, 10), 10.697409951222544858346795279378531495869386960090f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -2), -2.1765877052210673672479877957388515321497888026770f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -4), -4.2543274975235836861894752787874633017836785640477f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -6), -6.4588766202317746302999080620490579800463614807916f, eps * 5000, __LINE__);
+   check_close_f(ellint_1f(0.5f, -10), -10.697409951222544858346795279378531495869386960090f, eps * 5000, __LINE__);
+
+   check_close_f(ellint_2f(0, 0), 0, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(0, -10), -10, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(-1, -1), -0.84147098480789650665250232163029899962256306079837f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(900 / 1024.0f, -4), -3.1756145986492562317862928524528520686391383168377f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(-600 / 1024.0f, 8), 7.2473147180505693037677015377802777959345489333465f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(800 / 1024.0f, 1e-05f), 9.999999999898274739584436515967055859383969942432E-6f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(100 / 1024.0f, 1e+05f), 99761.153306972066658135668386691227343323331995888f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(-0.5f, 1e+10f), 9.3421545766487137036576748555295222252286528414669e9f, eps * 5000, __LINE__);
+   check_close_f(ellint_2f(400 / 1024.0f, ldexpf(1, 66)), 7.0886102721911705466476846969992069994308167515242e19f, eps * 5000, __LINE__);
+
+   check_close_f(ellint_3f(0, 1, -1), -1.557407724654902230506974807458360173087f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.4f, 0, -4), -4.153623371196831087495427530365430979011f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(-0.6f, 0, 8), 8.935930619078575123490612395578518914416f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.25f, 0, 0.5f), 0.501246705365439492445236118603525029757890291780157969500480f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0, 0.5f), 0.5f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, -2, 0.5f), 0.437501067017546278595664813509803743009132067629603474488486f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0.25f, 0.5f), 0.510269830229213412212501938035914557628394166585442994564135f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0.75f, 0.5f), 0.533293253875952645421201146925578536430596894471541312806165f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 0.75f, 0.75), 0.871827580412760575085768367421866079353646112288567703061975f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 1, 0.25f), 0.255341921221036266504482236490473678204201638800822621740476f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 2, 0.25f), 0.261119051639220165094943572468224137699644963125853641716219f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0, 1023/1024.0f, 1.5), 13.2821612239764190363647953338544569682942329604483733197131f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.5f, 0.5f, -1), -1.228014414316220642611298946293865487807f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.5f, 0.5f, 1e+10f), 1.536591003599172091573590441336982730551e+10f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.75f, -1e+05f, 10), 0.0347926099493147087821620459290460547131012904008557007934290f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, -1e+10f, 10), 0.000109956202759561502329123384755016959364346382187364656768212f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, -1e+10f, 1e+20f), 1.00000626665567332602765201107198822183913978895904937646809e15f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, -1e+10f, 1608/1024.0f), 0.0000157080616044072676127333183571107873332593142625043567690379f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.875f, 1-1 / 1024.0f, 1e+20f), 6.43274293944380717581167058274600202023334985100499739678963e21f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.25f, 50, 0.1f), 0.124573770342749525407523258569507331686458866564082916835900f, eps * 5000, __LINE__);
+   check_close_f(ellint_3f(0.25f, 1.125f, 1), 1.77299767784815770192352979665283069318388205110727241629752f, eps * 5000, __LINE__);
+
+   check_close_f(expintf(1/1024.0f), -6.35327933972759151358547423727042905862963067106751711596065f, eps * 5000, __LINE__);
+   check_close_f(expintf(0.125), -1.37320852494298333781545045921206470808223543321810480716122f, eps * 5000, __LINE__);
+   check_close_f(expintf(0.5), 0.454219904863173579920523812662802365281405554352642045162818f, eps * 5000, __LINE__);
+   check_close_f(expintf(1), 1.89511781635593675546652093433163426901706058173270759164623f, eps * 5000, __LINE__);
+   check_close_f(expintf(50.5), 1.72763195602911805201155668940185673806099654090456049881069e20f, eps * 5000, __LINE__);
+   check_close_f(expintf(-1/1024.0f), -6.35523246483107180261445551935803221293763008553775821607264f, eps * 5000, __LINE__);
+   check_close_f(expintf(-0.125), -1.62342564058416879145630692462440887363310605737209536579267f, eps * 5000, __LINE__);
+   check_close_f(expintf(-0.5), -0.559773594776160811746795939315085235226846890316353515248293f, eps * 5000, __LINE__);
+   check_close_f(expintf(-1), -0.219383934395520273677163775460121649031047293406908207577979f, eps * 5000, __LINE__);
+   check_close_f(expintf(-50.5), -2.27237132932219350440719707268817831250090574830769670186618e-24f, eps * 5000, __LINE__);
+
+   check_close_fraction_f(hermitef(0, 1), 1.L, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 1), 2.L, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 2), 4.L, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 10), 20, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 100), 200, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(1, 1e6), 2e6f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, 30), 5.896624628001300E+17f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, 1000), 1.023976960161280E+33f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, 10), 8.093278209760000E+12f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(10, -10), 8.093278209760000E+12f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(3, -10), -7.880000000000000E+3f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(3, -1000), -7.999988000000000E+9f, 100 * eps, __LINE__);
+   check_close_fraction_f(hermitef(3, -1000000), -7.999999999988000E+18f, 100 * eps, __LINE__);
+
+   check_close_f(riemann_zetaf(0.125), -0.63277562349869525529352526763564627152686379131122f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(1023 / 1024.0f), -1023.4228554489429786541032870895167448906103303056f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(1025 / 1024.0f), 1024.5772867695045940578681624248887776501597556226f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(0.5f), -1.46035450880958681288949915251529801246722933101258149054289f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(1.125f), 8.5862412945105752999607544082693023591996301183069f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(2), 1.6449340668482264364724151666460251892189499012068f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(3.5f), 1.1267338673170566464278124918549842722219969574036f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(4), 1.08232323371113819151600369654116790277475095191872690768298f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(4 + 1 / 1024.0f), 1.08225596856391369799036835439238249195298434901488518878804f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(4.5f), 1.05470751076145426402296728896028011727249383295625173068468f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(6.5f), 1.01200589988852479610078491680478352908773213619144808841031f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(7.5f), 1.00582672753652280770224164440459408011782510096320822989663f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(8.125f), 1.0037305205308161603183307711439385250181080293472f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(16.125f), 1.0000140128224754088474783648500235958510030511915f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(0), -0.5f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-0.125f), -0.39906966894504503550986928301421235400280637468895f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-1), -0.083333333333333333333333333333333333333333333333333f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-2), 0, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-2.5f), 0.0085169287778503305423585670283444869362759902200745f, eps * 5000 * 3, __LINE__);
+   check_close_f(riemann_zetaf(-3), 0.0083333333333333333333333333333333333333333333333333f, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-4), 0, eps * 5000, __LINE__);
+   check_close_f(riemann_zetaf(-20), 0, eps * 5000 * 100, __LINE__);
+   check_close_f(riemann_zetaf(-21), -281.46014492753623188405797101449275362318840579710f, eps * 5000 * 100, __LINE__);
+   check_close_f(riemann_zetaf(-30.125f), 2.2762941726834511267740045451463455513839970804578e7f, eps * 5000 * 100, __LINE__);
+
+   check_close_f(sph_besself(0, 0.1433600485324859619140625e-1f), 0.9999657468461303487880990241993035937654e0f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(0, 0.1760916970670223236083984375e-1f), 0.9999483203249623334100130061926184665364e0f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(2, 0.1433600485324859619140625e-1f), 0.1370120120703995134662099191103188366059e-4f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(2, 0.1760916970670223236083984375e-1f), 0.2067173265753174063228459655801741280461e-4f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(7, 0.1252804412841796875e3f), 0.7887555711993028736906736576314283291289e-2f,  eps * 5000 * 100, __LINE__);
+   check_close_f(sph_besself(7, 0.25554705810546875e3f), -0.1463292767579579943284849187188066532514e-2f,  eps * 5000 * 100, __LINE__);
+
+   check_close_f(sph_neumannf(0, 0.408089816570281982421875e0f), -0.2249212131304610409189209411089291558038e1f, eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(0, 0.6540834903717041015625e0f), -0.1213309779166084571756446746977955970241e1f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(2, 0.408089816570281982421875e0f), -0.4541702641837159203058389758895634766256e2f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(2, 0.6540834903717041015625e0f), -0.1156112621471167110574129561700037138981e2f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(10, 0.1097540378570556640625e1f), -0.2427889658115064857278886600528596240123e9f,   eps * 5000 * 100, __LINE__);
+   check_close_f(sph_neumannf(10, 0.30944411754608154296875e1f), -0.3394649246350136450439882104151313759251e4f,   eps * 5000 * 100, __LINE__);
+
+   check_close_fraction_f(sph_legendref(3, 2, 0.5f), 0.2061460599687871330692286791802688341213f, eps * 5000, __LINE__);
+   check_close_fraction_f(sph_legendref(40, 15, 0.75f), -0.406036847302819452666908966769096223205057182668333862900509f, eps * 5000, __LINE__);
+
+#endif
+}
+
+void test_values(const char* name)
+{
+#ifndef TEST_LD
+   //
+   // First the C99 math functions:
+   //
+   double eps = DBL_EPSILON;
+   double sv;
+   check_close(acosh(cosh(0.5)), 0.5, 5000 * eps, __LINE__);
+   check_close(asinh(sinh(0.5)), 0.5, 5000 * eps, __LINE__);
+   check_close(atanh(tanh(0.5)), 0.5, 5000 * eps, __LINE__);
+
+   check_close(cbrt(1.5 * 1.5 * 1.5), 1.5, 5000 * eps, __LINE__);
+
+   check(copysign(1.0, 1.0) == 1.0, __LINE__);
+   check(copysign(1.0, -1.0) == -1.0, __LINE__);
+   check(copysign(-1.0, 1.0) == 1.0, __LINE__);
+   check(copysign(-1.0, -1.0) == -1.0, __LINE__);
+
+   check_close(erfc(0.125), 0.85968379519866618260697055347837660181302041685015, eps * 1000, __LINE__);
+   check_close(erfc(0.5), 0.47950012218695346231725334610803547126354842424204, eps * 1000, __LINE__);
+   check_close(erfc(1), 0.15729920705028513065877936491739074070393300203370, eps * 1000, __LINE__);
+   check_close(erfc(5), 1.5374597944280348501883434853833788901180503147234e-12, eps * 1000, __LINE__);
+   check_close(erfc(-0.125), 1.1403162048013338173930294465216233981869795831498, eps * 1000, __LINE__);
+   check_close(erfc(-0.5), 1.5204998778130465376827466538919645287364515757580, eps * 1000, __LINE__);
+   check_close(erfc(0), 1, eps * 1000, __LINE__);
+
+   check_close(erf(0.125), 0.14031620480133381739302944652162339818697958314985, eps * 1000, __LINE__);
+   check_close(erf(0.5), 0.52049987781304653768274665389196452873645157575796, eps * 1000, __LINE__);
+   check_close(erf(1), 0.84270079294971486934122063508260925929606699796630, eps * 1000, __LINE__);
+   check_close(erf(5), 0.9999999999984625402055719651498116565146166211099, eps * 1000, __LINE__);
+   check_close(erf(-0.125), -0.14031620480133381739302944652162339818697958314985, eps * 1000, __LINE__);
+   check_close(erf(-0.5), -0.52049987781304653768274665389196452873645157575796, eps * 1000, __LINE__);
+   check_close(erf(0), 0, eps * 1000, __LINE__);
+
+   check_close(log1p(0.582029759883880615234375e0), 0.4587086807259736626531803258754840111707e0, eps * 1000, __LINE__);
+   check_close(expm1(0.582029759883880615234375e0), 0.7896673415707786528734865994546559029663e0, eps * 1000, __LINE__);
+   check_close(log1p(-0.2047410048544406890869140625e-1), -0.2068660038044094868521052319477265955827e-1, eps * 1000, __LINE__);
+   check_close(expm1(-0.2047410048544406890869140625e-1), -0.2026592921724753704129022027337835687888e-1, eps * 1000, __LINE__);
+
+   check_close(fmax(0.1, -0.1), 0.1, 0, __LINE__);
+   check_close(fmin(0.1, -0.1), -0.1, 0, __LINE__);
+
+   check_close(hypot(1.0, 3.0), sqrt(10.0), eps * 500, __LINE__);
+
+   check_close(lgamma(3.5), 1.2009736023470742248160218814507129957702389154682, 5000 * eps, __LINE__);
+   check_close(lgamma(0.125), 2.0194183575537963453202905211670995899482809521344, 5000 * eps, __LINE__);
+   check_close(lgamma(-0.125), 2.1653002489051702517540619481440174064962195287626, 5000 * eps, __LINE__);
+   check_close(lgamma(-3.125), 0.1543111276840418242676072830970532952413339012367, 5000 * eps, __LINE__);
+   check_close(lgamma(-53249.0/1024), -149.43323093420259741100038126078721302600128285894, 5000 * eps, __LINE__);
+
+   check_close(tgamma(3.5), 3.3233509704478425511840640312646472177454052302295, 5000 * eps, __LINE__);
+   check_close(tgamma(0.125), 7.5339415987976119046992298412151336246104195881491, 5000 * eps, __LINE__);
+   check_close(tgamma(-0.125), -8.7172188593831756100190140408231437691829605421405, 5000 * eps, __LINE__);
+   check_close(tgamma(-3.125), 1.1668538708507675587790157356605097019141636072094, 5000 * eps, __LINE__);
+
+#ifdef BOOST_HAS_LONG_LONG
+   check(llround(2.5) == 3L, __LINE__);
+   check(llround(2.25) == 2L, __LINE__);
+#endif
+   check(lround(2.5) == 3.0, __LINE__);
+   check(lround(2.25) == 2.0, __LINE__);
+   check(round(2.5) == 3.0, __LINE__);
+   check(round(2.25) == 2.0, __LINE__);
+
+   check(nextafter(1.0, 2.0) > 1.0, __LINE__);
+   check(nextafter(1.0, -2.0) < 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, 2.0), -2.0) == 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, -2.0), 2.0) == 1.0, __LINE__);
+   check(nextafter(1.0, 2.0) > 1.0, __LINE__);
+   check(nextafter(1.0, -2.0) < 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, 2.0), -2.0) == 1.0, __LINE__);
+   check(nextafter(nextafter(1.0, -2.0), 2.0) == 1.0, __LINE__);
+
+   check(trunc(2.5) == 2.0, __LINE__);
+   check(trunc(2.25) == 2.0, __LINE__);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   check_close_fraction(assoc_laguerre(4, 5, 0.5), 88.31510416666666666666666666666666666667, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 0, 2.5), -0.8802526766660982969576719576719576719577, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 1, 4.5), 1.564311458042689732142857142857142857143, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 6, 8.5), 20.51596541066649098875661375661375661376, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(10, 12, 12.5), -199.5560968456234671241181657848324514991, eps * 100, __LINE__);
+   check_close_fraction(assoc_laguerre(50, 40, 12.5), -4.996769495006119488583146995907246595400e16, eps * 100, __LINE__);
+
+   check_close_fraction(laguerre(1, 0.5), 0.5, eps * 100, __LINE__);
+   check_close_fraction(laguerre(4, 0.5), -0.3307291666666666666666666666666666666667, eps * 100, __LINE__);
+   check_close_fraction(laguerre(7, 0.5), -0.5183392237103174603174603174603174603175, eps * 100, __LINE__);
+   check_close_fraction(laguerre(20, 0.5), 0.3120174870800154148915399248893113634676, eps * 100, __LINE__);
+   check_close_fraction(laguerre(50, 0.5), -0.3181388060269979064951118308575628226834, eps * 100, __LINE__);
+
+   check_close_fraction(laguerre(1, -0.5), 1.5, eps * 100, __LINE__);
+   check_close_fraction(laguerre(4, -0.5), 3.835937500000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(laguerre(7, -0.5), 7.950934709821428571428571428571428571429, eps * 100, __LINE__);
+   check_close_fraction(laguerre(20, -0.5), 76.12915699869631476833699787070874048223, eps * 100, __LINE__);
+   check_close_fraction(laguerre(50, -0.5), 2307.428631277506570629232863491518399720, eps * 100, __LINE__);
+
+   check_close_fraction(laguerre(1, 4.5), -3.500000000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(laguerre(4, 4.5), 0.08593750000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(laguerre(7, 4.5), -1.036928013392857142857142857142857142857, eps * 100, __LINE__);
+   check_close_fraction(laguerre(20, 4.5), 1.437239150257817378525582974722170737587, eps * 100, __LINE__);
+   check_close_fraction(laguerre(50, 4.5), -0.7795068145562651416494321484050019245248, eps * 100, __LINE__);
+
+   check_close_fraction(assoc_legendre(4, 2, 0.5), 4.218750000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(assoc_legendre(7, 5, 0.5), 5696.789530152175143607977274672800795328, eps * 100, __LINE__);
+   check_close_fraction(assoc_legendre(4, 2, -0.5), 4.218750000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(assoc_legendre(7, 5, -0.5), 5696.789530152175143607977274672800795328, eps * 100, __LINE__);
+
+   check_close_fraction(legendre(1, 0.5), 0.5, eps * 100, __LINE__);
+   check_close_fraction(legendre(4, 0.5), -0.2890625000000000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(legendre(7, 0.5), 0.2231445312500000000000000000000000000000, eps * 100, __LINE__);
+   check_close_fraction(legendre(40, 0.5), -0.09542943523261546936538467572384923220258, eps * 100, __LINE__);
+
+   sv = eps / 1024;
+   check_close(beta(1, 1), 1, eps * 20 * 100, __LINE__);
+   check_close(beta(1, 4), 0.25, eps * 20 * 100, __LINE__);
+   check_close(beta(4, 1), 0.25, eps * 20 * 100, __LINE__);
+   check_close(beta(sv, 4), 1/sv, eps * 20 * 100, __LINE__);
+   check_close(beta(4, sv), 1/sv, eps * 20 * 100, __LINE__);
+   check_close(beta(4, 20), 0.00002823263692828910220214568040654997176736, eps * 20 * 100, __LINE__);
+   check_close(beta(0.0125, 0.000023), 43558.24045647538375006349016083320744662, eps * 20 * 100, __LINE__);
+
+   check_close(comp_ellint_1(0), 1.5707963267948966192313216916397514420985846996876, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(0.125), 1.5769867712158131421244030532288080803822271060839, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(0.25), 1.5962422221317835101489690714979498795055744578951, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(300/1024.0), 1.6062331054696636704261124078746600894998873503208, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(400/1024.0), 1.6364782007562008756208066125715722889067992997614, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(-0.5), 1.6857503548125960428712036577990769895008008941411, eps * 5000, __LINE__);
+   check_close(comp_ellint_1(-0.75), 1.9109897807518291965531482187613425592531451316788, eps * 5000, __LINE__);
+
+   check_close(comp_ellint_2(-1), 1.0, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(0), 1.5707963267948966192313216916397514420985846996876, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(100 / 1024.0), 1.5670445330545086723323795143598956428788609133377, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(200 / 1024.0), 1.5557071588766556854463404816624361127847775545087, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(300 / 1024.0), 1.5365278991162754883035625322482669608948678755743, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(400 / 1024.0), 1.5090417763083482272165682786143770446401437564021, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-0.5), 1.4674622093394271554597952669909161360253617523272, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-600 / 1024.0), 1.4257538571071297192428217218834579920545946473778, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-800 / 1024.0), 1.2927868476159125056958680222998765985004489572909, eps * 5000, __LINE__);
+   check_close(comp_ellint_2(-900 / 1024.0), 1.1966864890248739524112920627353824133420353430982, eps * 5000, __LINE__);
+
+   check_close(comp_ellint_3(0.2, 0), 1.586867847454166237308008033828114192951, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.4, 0), 1.639999865864511206865258329748601457626, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.0, 0), 1.57079632679489661923132169163975144209858469968755291048747, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.0, 0.5), 2.221441469079183123507940495030346849307, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(0.3, -4), 0.712708870925620061597924858162260293305195624270730660081949, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.5, -1e+05), 0.00496944596485066055800109163256108604615568144080386919012831, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.75, -1e+10), 0.0000157080225184890546939710019277357161497407143903832703317801, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.875, 1 / 1024.0), 2.18674503176462374414944618968850352696579451638002110619287, eps * 5000, __LINE__);
+   check_close(comp_ellint_3(-0.875, 1023/1024.0), 101.045289804941384100960063898569538919135722087486350366997, eps * 5000, __LINE__);
+
+   check_close(cyl_bessel_i(2.25, 1/(1024.0*1024.0)), 2.34379212133481347189068464680335815256364262507955635911656e-15, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(5.5, 3.125), 0.0583514045989371500460946536220735787163510569634133670181210, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-5 + 1.0/1024.0, 2.125), 0.0267920938009571023702933210070984416052633027166975342895062, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-5.5, 10), 597.577606961369169607937419869926705730305175364662688426534, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-10486074.0/(1024.0*1024), 1/1024.0), 1.41474005665181350367684623930576333542989766867888186478185e35, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-10486074.0/(1024.0*1024), 50), 1.07153277202900671531087024688681954238311679648319534644743e20, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(144794.0/1024.0, 100), 2066.27694757392660413922181531984160871678224178890247540320, eps * 5000, __LINE__);
+   check_close(cyl_bessel_i(-144794.0/1024.0, 100), 2066.27694672763190927440969155740243346136463461655104698748, eps * 5000, __LINE__);
+
+   check_close(cyl_bessel_j(2457/1024.0, 1/1024.0), 3.80739920118603335646474073457326714709615200130620574875292e-9, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.5, 3217.0/1024), 0.0281933076257506091621579544064767140470089107926550720453038, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 3217.0/1024), -2.55820064470647911823175836997490971806135336759164272675969, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 1e+04), 2.449843111985605522111159013846599118397e-03, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.5, 1e+04), 0.00759343502722670361395585198154817047185480147294665270646578, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.5, 1e+06), -0.000747424248595630177396350688505919533097973148718960064663632, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.125, 1e+06), -0.000776600124835704280633640911329691642748783663198207360238214, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(5.875, 1e+06), -0.000466322721115193071631008581529503095819705088484386434589780, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(0.5, 101), 0.0358874487875643822020496677692429287863419555699447066226409, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 1e+04), 0.00244984311198560552211115901384659911839737686676766460822577, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-5.5, 1e+06), 0.000279243200433579511095229508894156656558211060453622750659554, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-0.5, 101), 0.0708184798097594268482290389188138201440114881159344944791454, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-10486074 / (1024*1024.0), 1/1024.0), 1.41474013160494695750009004222225969090304185981836460288562e35, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-10486074 / (1024*1024.0), 15), -0.0902239288885423309568944543848111461724911781719692852541489, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(10486074 / (1024*1024.0), 1e+02), -0.0547064914615137807616774867984047583596945624129838091326863, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(10486074 / (1024*1024.0), 2e+04), -0.00556783614400875611650958980796060611309029233226596737701688, eps * 5000, __LINE__);
+   check_close(cyl_bessel_j(-10486074 / (1024*1024.0), 1e+02), -0.0547613660316806551338637153942604550779513947674222863858713, eps * 5000, __LINE__);
+
+   check_close(cyl_bessel_k(0.5, 0.875), 0.558532231646608646115729767013630967055657943463362504577189, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(0.5, 1.125), 0.383621010650189547146769320487006220295290256657827220786527, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(2.25, ldexp(1.0, -30)), 5.62397392719283271332307799146649700147907612095185712015604e20, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(5.5, 3217/1024.0), 1.30623288775012596319554857587765179889689223531159532808379, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(-5.5, 10), 0.0000733045300798502164644836879577484533096239574909573072142667, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(-5.5, 100), 5.41274555306792267322084448693957747924412508020839543293369e-45, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(10240/1024.0, 1/1024.0), 2.35522579263922076203415803966825431039900000000993410734978e38, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(10240/1024.0, 10), 0.00161425530039067002345725193091329085443750382929208307802221, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(144793/1024.0, 100), 1.39565245860302528069481472855619216759142225046370312329416e-6, eps * 5000, __LINE__);
+   check_close(cyl_bessel_k(144793/1024.0, 200), 9.11950412043225432171915100042647230802198254567007382956336e-68, eps * 5000, __LINE__);
+
+   check_close(cyl_neumann(0.5, 1 / (1024.0*1024)), -817.033790261762580469303126467917092806755460418223776544122, eps * 5000, __LINE__);
+   check_close(cyl_neumann(5.5, 3.125), -2.61489440328417468776474188539366752698192046890955453259866, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-5.5, 3.125), -0.0274994493896489729948109971802244976377957234563871795364056, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-5.5, 1e+04), -0.00759343502722670361395585198154817047185480147294665270646578, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-10486074 / (1024*1024.0), 1/1024.0), -1.50382374389531766117868938966858995093408410498915220070230e38, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-10486074 / (1024*1024.0), 1e+02), 0.0583041891319026009955779707640455341990844522293730214223545, eps * 5000, __LINE__);
+   check_close(cyl_neumann(141.75, 1e+02), -5.38829231428696507293191118661269920130838607482708483122068e9, eps * 5000, __LINE__);
+   check_close(cyl_neumann(141.75, 2e+04), -0.00376577888677186194728129112270988602876597726657372330194186, eps * 5000, __LINE__);
+   check_close(cyl_neumann(-141.75, 1e+02), -3.81009803444766877495905954105669819951653361036342457919021e9, eps * 5000, __LINE__);
+
+   check_close(ellint_1(0, 0), 0, eps * 5000, __LINE__);
+   check_close(ellint_1(0, -10), -10, eps * 5000, __LINE__);
+   check_close(ellint_1(-1, -1), -1.2261911708835170708130609674719067527242483502207, eps * 5000, __LINE__);
+   check_close(ellint_1(0.875, -4), -5.3190556182262405182189463092940736859067548232647, eps * 5000, __LINE__);
+   check_close(ellint_1(-0.625, 8), 9.0419973860310100524448893214394562615252527557062, eps * 5000, __LINE__);
+   check_close(ellint_1(0.875, 1e-05), 0.000010000000000127604166668510945638036143355898993088, eps * 5000, __LINE__);
+   check_close(ellint_1(10/1024.0, 1e+05), 100002.38431454899771096037307519328741455615271038, eps * 5000, __LINE__);
+   check_close(ellint_1(1, 1e-20), 1.0000000000000000000000000000000000000000166666667e-20, eps * 5000, __LINE__);
+   check_close(ellint_1(1e-20, 1e-20), 1.000000000000000e-20, eps * 5000, __LINE__);
+   check_close(ellint_1(400/1024.0, 1e+20), 1.0418143796499216839719289963154558027005142709763e20, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 2), 2.1765877052210673672479877957388515321497888026770, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 4), 4.2543274975235836861894752787874633017836785640477, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 6), 6.4588766202317746302999080620490579800463614807916, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, 10), 10.697409951222544858346795279378531495869386960090, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -2), -2.1765877052210673672479877957388515321497888026770, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -4), -4.2543274975235836861894752787874633017836785640477, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -6), -6.4588766202317746302999080620490579800463614807916, eps * 5000, __LINE__);
+   check_close(ellint_1(0.5, -10), -10.697409951222544858346795279378531495869386960090, eps * 5000, __LINE__);
+
+   check_close(ellint_2(0, 0), 0, eps * 5000, __LINE__);
+   check_close(ellint_2(0, -10), -10, eps * 5000, __LINE__);
+   check_close(ellint_2(-1, -1), -0.84147098480789650665250232163029899962256306079837, eps * 5000, __LINE__);
+   check_close(ellint_2(900 / 1024.0, -4), -3.1756145986492562317862928524528520686391383168377, eps * 5000, __LINE__);
+   check_close(ellint_2(-600 / 1024.0, 8), 7.2473147180505693037677015377802777959345489333465, eps * 5000, __LINE__);
+   check_close(ellint_2(800 / 1024.0, 1e-05), 9.999999999898274739584436515967055859383969942432E-6, eps * 5000, __LINE__);
+   check_close(ellint_2(100 / 1024.0, 1e+05), 99761.153306972066658135668386691227343323331995888, eps * 5000, __LINE__);
+   check_close(ellint_2(-0.5, 1e+10), 9.3421545766487137036576748555295222252286528414669e9, eps * 5000, __LINE__);
+   check_close(ellint_2(400 / 1024.0, ldexp(1, 66)), 7.0886102721911705466476846969992069994308167515242e19, eps * 5000, __LINE__);
+
+   check_close(ellint_3(0, 1, -1), -1.557407724654902230506974807458360173087, eps * 5000, __LINE__);
+   check_close(ellint_3(0.4, 0, -4), -4.153623371196831087495427530365430979011, eps * 5000, __LINE__);
+   check_close(ellint_3(-0.6, 0, 8), 8.935930619078575123490612395578518914416, eps * 5000, __LINE__);
+   check_close(ellint_3(0.25, 0, 0.5), 0.501246705365439492445236118603525029757890291780157969500480, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0, 0.5), 0.5, eps * 5000, __LINE__);
+   check_close(ellint_3(0, -2, 0.5), 0.437501067017546278595664813509803743009132067629603474488486, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0.25, 0.5), 0.510269830229213412212501938035914557628394166585442994564135, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0.75, 0.5), 0.533293253875952645421201146925578536430596894471541312806165, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 0.75, 0.75), 0.871827580412760575085768367421866079353646112288567703061975, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 1, 0.25), 0.255341921221036266504482236490473678204201638800822621740476, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 2, 0.25), 0.261119051639220165094943572468224137699644963125853641716219, eps * 5000, __LINE__);
+   check_close(ellint_3(0, 1023/1024.0, 1.5), 13.2821612239764190363647953338544569682942329604483733197131, eps * 5000, __LINE__);
+   check_close(ellint_3(0.5, 0.5, -1), -1.228014414316220642611298946293865487807, eps * 5000, __LINE__);
+   check_close(ellint_3(0.5, 0.5, 1e+10), 1.536591003599172091573590441336982730551e+10, eps * 5000, __LINE__);
+   check_close(ellint_3(0.75, -1e+05, 10), 0.0347926099493147087821620459290460547131012904008557007934290, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, -1e+10, 10), 0.000109956202759561502329123384755016959364346382187364656768212, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, -1e+10, 1e+20), 1.00000626665567332602765201107198822183913978895904937646809e15, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, -1e+10, 1608/1024.0), 0.0000157080616044072676127333183571107873332593142625043567690379, eps * 5000, __LINE__);
+   check_close(ellint_3(0.875, 1-1 / 1024.0, 1e+20), 6.43274293944380717581167058274600202023334985100499739678963e21, eps * 5000, __LINE__);
+   check_close(ellint_3(0.25, 50, 0.1), 0.124573770342749525407523258569507331686458866564082916835900, eps * 5000, __LINE__);
+   check_close(ellint_3(0.25, 1.125, 1), 1.77299767784815770192352979665283069318388205110727241629752, eps * 5000, __LINE__);
+
+   check_close(expint(1/1024.0), -6.35327933972759151358547423727042905862963067106751711596065, eps * 5000, __LINE__);
+   check_close(expint(0.125), -1.37320852494298333781545045921206470808223543321810480716122, eps * 5000, __LINE__);
+   check_close(expint(0.5), 0.454219904863173579920523812662802365281405554352642045162818, eps * 5000, __LINE__);
+   check_close(expint(1), 1.89511781635593675546652093433163426901706058173270759164623, eps * 5000, __LINE__);
+   check_close(expint(50.5), 1.72763195602911805201155668940185673806099654090456049881069e20, eps * 5000, __LINE__);
+   check_close(expint(-1/1024.0), -6.35523246483107180261445551935803221293763008553775821607264, eps * 5000, __LINE__);
+   check_close(expint(-0.125), -1.62342564058416879145630692462440887363310605737209536579267, eps * 5000, __LINE__);
+   check_close(expint(-0.5), -0.559773594776160811746795939315085235226846890316353515248293, eps * 5000, __LINE__);
+   check_close(expint(-1), -0.219383934395520273677163775460121649031047293406908207577979, eps * 5000, __LINE__);
+   check_close(expint(-50.5), -2.27237132932219350440719707268817831250090574830769670186618e-24, eps * 5000, __LINE__);
+
+   check_close_fraction(hermite(0, 1), 1.L, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 1), 2.L, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 2), 4.L, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 10), 20, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 100), 200, 100 * eps, __LINE__);
+   check_close_fraction(hermite(1, 1e6), 2e6, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, 30), 5.896624628001300E+17, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, 1000), 1.023976960161280E+33, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, 10), 8.093278209760000E+12, 100 * eps, __LINE__);
+   check_close_fraction(hermite(10, -10), 8.093278209760000E+12, 100 * eps, __LINE__);
+   check_close_fraction(hermite(3, -10), -7.880000000000000E+3, 100 * eps, __LINE__);
+   check_close_fraction(hermite(3, -1000), -7.999988000000000E+9, 100 * eps, __LINE__);
+   check_close_fraction(hermite(3, -1000000), -7.999999999988000E+18, 100 * eps, __LINE__);
+
+   check_close(riemann_zeta(0.125), -0.63277562349869525529352526763564627152686379131122, eps * 5000, __LINE__);
+   check_close(riemann_zeta(1023 / 1024.0), -1023.4228554489429786541032870895167448906103303056, eps * 5000, __LINE__);
+   check_close(riemann_zeta(1025 / 1024.0), 1024.5772867695045940578681624248887776501597556226, eps * 5000, __LINE__);
+   check_close(riemann_zeta(0.5), -1.46035450880958681288949915251529801246722933101258149054289, eps * 5000, __LINE__);
+   check_close(riemann_zeta(1.125), 8.5862412945105752999607544082693023591996301183069, eps * 5000, __LINE__);
+   check_close(riemann_zeta(2), 1.6449340668482264364724151666460251892189499012068, eps * 5000, __LINE__);
+   check_close(riemann_zeta(3.5), 1.1267338673170566464278124918549842722219969574036, eps * 5000, __LINE__);
+   check_close(riemann_zeta(4), 1.08232323371113819151600369654116790277475095191872690768298, eps * 5000, __LINE__);
+   check_close(riemann_zeta(4 + 1 / 1024.0), 1.08225596856391369799036835439238249195298434901488518878804, eps * 5000, __LINE__);
+   check_close(riemann_zeta(4.5), 1.05470751076145426402296728896028011727249383295625173068468, eps * 5000, __LINE__);
+   check_close(riemann_zeta(6.5), 1.01200589988852479610078491680478352908773213619144808841031, eps * 5000, __LINE__);
+   check_close(riemann_zeta(7.5), 1.00582672753652280770224164440459408011782510096320822989663, eps * 5000, __LINE__);
+   check_close(riemann_zeta(8.125), 1.0037305205308161603183307711439385250181080293472, eps * 5000, __LINE__);
+   check_close(riemann_zeta(16.125), 1.0000140128224754088474783648500235958510030511915, eps * 5000, __LINE__);
+   check_close(riemann_zeta(0), -0.5, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-0.125), -0.39906966894504503550986928301421235400280637468895, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-1), -0.083333333333333333333333333333333333333333333333333, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-2), 0, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-2.5), 0.0085169287778503305423585670283444869362759902200745, eps * 5000 * 3, __LINE__);
+   check_close(riemann_zeta(-3), 0.0083333333333333333333333333333333333333333333333333, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-4), 0, eps * 5000, __LINE__);
+   check_close(riemann_zeta(-20), 0, eps * 5000 * 100, __LINE__);
+   check_close(riemann_zeta(-21), -281.46014492753623188405797101449275362318840579710, eps * 5000 * 100, __LINE__);
+   check_close(riemann_zeta(-30.125), 2.2762941726834511267740045451463455513839970804578e7, eps * 5000 * 100, __LINE__);
+
+   check_close(sph_bessel(0, 0.1433600485324859619140625e-1), 0.9999657468461303487880990241993035937654e0,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(0, 0.1760916970670223236083984375e-1), 0.9999483203249623334100130061926184665364e0,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(2, 0.1433600485324859619140625e-1), 0.1370120120703995134662099191103188366059e-4,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(2, 0.1760916970670223236083984375e-1), 0.2067173265753174063228459655801741280461e-4,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(7, 0.1252804412841796875e3), 0.7887555711993028736906736576314283291289e-2,  eps * 5000 * 100, __LINE__);
+   check_close(sph_bessel(7, 0.25554705810546875e3), -0.1463292767579579943284849187188066532514e-2,  eps * 5000 * 100, __LINE__);
+
+   check_close(sph_neumann(0, 0.408089816570281982421875e0), -0.2249212131304610409189209411089291558038e1, eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(0, 0.6540834903717041015625e0), -0.1213309779166084571756446746977955970241e1,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(2, 0.408089816570281982421875e0), -0.4541702641837159203058389758895634766256e2,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(2, 0.6540834903717041015625e0), -0.1156112621471167110574129561700037138981e2,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(10, 0.1097540378570556640625e1), -0.2427889658115064857278886600528596240123e9,   eps * 5000 * 100, __LINE__);
+   check_close(sph_neumann(10, 0.30944411754608154296875e1), -0.3394649246350136450439882104151313759251e4,   eps * 5000 * 100, __LINE__);
+
+   check_close_fraction(sph_legendre(3, 2, 0.5), 0.2061460599687871330692286791802688341213, eps * 5000, __LINE__);
+   check_close_fraction(sph_legendre(40, 15, 0.75), -0.406036847302819452666908966769096223205057182668333862900509, eps * 5000, __LINE__);
+#endif
+}
+
+void test_valuesl(const char* name)
+{
+#ifdef TEST_LD
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   //
+   // First the C99 math functions:
+   //
+   long double eps = LDBL_EPSILON;
+   long double sv;
+   check_close_l(acoshl(coshl(0.5L)), 0.5L, 5000 * eps, __LINE__);
+   check_close_l(asinhl(sinhl(0.5L)), 0.5L, 5000 * eps, __LINE__);
+   check_close_l(atanhl(tanhl(0.5L)), 0.5L, 5000 * eps, __LINE__);
+
+   check_close_l(cbrtl(1.5L * 1.5L * 1.5L), 1.5L, 5000 * eps, __LINE__);
+
+   check(copysignl(1.0L, 1.0L) == 1.0L, __LINE__);
+   check(copysignl(1.0L, -1.0L) == -1.0L, __LINE__);
+   check(copysignl(-1.0L, 1.0L) == 1.0L, __LINE__);
+   check(copysignl(-1.0L, -1.0L) == -1.0L, __LINE__);
+
+   check_close_l(erfcl(0.125), 0.85968379519866618260697055347837660181302041685015L, eps * 1000, __LINE__);
+   check_close_l(erfcl(0.5), 0.47950012218695346231725334610803547126354842424204L, eps * 1000, __LINE__);
+   check_close_l(erfcl(1), 0.15729920705028513065877936491739074070393300203370L, eps * 1000, __LINE__);
+   check_close_l(erfcl(5), 1.5374597944280348501883434853833788901180503147234e-12L, eps * 1000, __LINE__);
+   check_close_l(erfcl(-0.125), 1.1403162048013338173930294465216233981869795831498L, eps * 1000, __LINE__);
+   check_close_l(erfcl(-0.5), 1.5204998778130465376827466538919645287364515757580L, eps * 1000, __LINE__);
+   check_close_l(erfcl(0), 1, eps * 1000, __LINE__);
+
+   check_close_l(erfl(0.125), 0.14031620480133381739302944652162339818697958314985L, eps * 1000, __LINE__);
+   check_close_l(erfl(0.5), 0.52049987781304653768274665389196452873645157575796L, eps * 1000, __LINE__);
+   check_close_l(erfl(1), 0.84270079294971486934122063508260925929606699796630L, eps * 1000, __LINE__);
+   check_close_l(erfl(5), 0.9999999999984625402055719651498116565146166211099L, eps * 1000, __LINE__);
+   check_close_l(erfl(-0.125), -0.14031620480133381739302944652162339818697958314985L, eps * 1000, __LINE__);
+   check_close_l(erfl(-0.5), -0.52049987781304653768274665389196452873645157575796L, eps * 1000, __LINE__);
+   check_close_l(erfl(0), 0, eps * 1000, __LINE__);
+
+   check_close_l(log1pl(0.582029759883880615234375e0), 0.4587086807259736626531803258754840111707e0L, eps * 1000, __LINE__);
+   check_close_l(expm1l(0.582029759883880615234375e0), 0.7896673415707786528734865994546559029663e0L, eps * 1000, __LINE__);
+   check_close_l(log1pl(-0.2047410048544406890869140625e-1), -0.2068660038044094868521052319477265955827e-1L, eps * 1000, __LINE__);
+   check_close_l(expm1l(-0.2047410048544406890869140625e-1), -0.2026592921724753704129022027337835687888e-1L, eps * 1000, __LINE__);
+
+   check_close_l(fmaxl(0.1L, -0.1L), 0.1L, 0, __LINE__);
+   check_close_l(fminl(0.1L, -0.1L), -0.1L, 0, __LINE__);
+
+   check_close_l(hypotl(1.0L, 3.0L), sqrtl(10.0L), eps * 500, __LINE__);
+
+   check_close_l(lgammal(3.5), 1.2009736023470742248160218814507129957702389154682L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(0.125), 2.0194183575537963453202905211670995899482809521344L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(-0.125), 2.1653002489051702517540619481440174064962195287626L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(-3.125), 0.1543111276840418242676072830970532952413339012367L, 5000 * eps, __LINE__);
+   check_close_l(lgammal(-53249.0/1024), -149.43323093420259741100038126078721302600128285894L, 5000 * eps, __LINE__);
+
+   check_close_l(tgammal(3.5), 3.3233509704478425511840640312646472177454052302295L, 5000 * eps, __LINE__);
+   check_close_l(tgammal(0.125), 7.5339415987976119046992298412151336246104195881491L, 5000 * eps, __LINE__);
+   check_close_l(tgammal(-0.125), -8.7172188593831756100190140408231437691829605421405L, 5000 * eps, __LINE__);
+   check_close_l(tgammal(-3.125), 1.1668538708507675587790157356605097019141636072094L, 5000 * eps, __LINE__);
+
+#ifdef BOOST_HAS_LONG_LONG
+   check(llroundl(2.5L) == 3LL, __LINE__);
+   check(llroundl(2.25L) == 2LL, __LINE__);
+#endif
+   check(lroundl(2.5L) == 3.0L, __LINE__);
+   check(lroundl(2.25L) == 2.0L, __LINE__);
+   check(roundl(2.5L) == 3.0L, __LINE__);
+   check(roundl(2.25L) == 2.0L, __LINE__);
+
+   check(nextafterl(1.0L, 2.0L) > 1.0L, __LINE__);
+   check(nextafterl(1.0L, -2.0L) < 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, 2.0L), -2.0L) == 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, -2.0L), 2.0L) == 1.0L, __LINE__);
+   check(nextafterl(1.0L, 2.0L) > 1.0L, __LINE__);
+   check(nextafterl(1.0L, -2.0L) < 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, 2.0L), -2.0L) == 1.0L, __LINE__);
+   check(nextafterl(nextafterl(1.0L, -2.0L), 2.0L) == 1.0L, __LINE__);
+
+   check(truncl(2.5L) == 2.0L, __LINE__);
+   check(truncl(2.25L) == 2.0L, __LINE__);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   check_close_fraction_l(assoc_laguerrel(4, 5, 0.5L), 88.31510416666666666666666666666666666667L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 0, 2.5L), -0.8802526766660982969576719576719576719577L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 1, 4.5L), 1.564311458042689732142857142857142857143L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 6, 8.5L), 20.51596541066649098875661375661375661376L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(10, 12, 12.5L), -199.5560968456234671241181657848324514991L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_laguerrel(50, 40, 12.5L), -4.996769495006119488583146995907246595400e16L, eps * 100, __LINE__);
+
+   check_close_fraction_l(laguerrel(1, 0.5L), 0.5L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(4, 0.5L), -0.3307291666666666666666666666666666666667L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(7, 0.5L), -0.5183392237103174603174603174603174603175L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(20, 0.5L), 0.3120174870800154148915399248893113634676L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(50, 0.5L), -0.3181388060269979064951118308575628226834L, eps * 100, __LINE__);
+
+   check_close_fraction_l(laguerrel(1, -0.5L), 1.5L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(4, -0.5L), 3.835937500000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(7, -0.5L), 7.950934709821428571428571428571428571429L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(20, -0.5L), 76.12915699869631476833699787070874048223L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(50, -0.5L), 2307.428631277506570629232863491518399720L, eps * 100, __LINE__);
+
+   check_close_fraction_l(laguerrel(1, 4.5L), -3.500000000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(4, 4.5L), 0.08593750000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(7, 4.5L), -1.036928013392857142857142857142857142857L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(20, 4.5L), 1.437239150257817378525582974722170737587L, eps * 100, __LINE__);
+   check_close_fraction_l(laguerrel(50, 4.5L), -0.7795068145562651416494321484050019245248L, eps * 100, __LINE__);
+
+   check_close_fraction_l(assoc_legendrel(4, 2, 0.5L), 4.218750000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_legendrel(7, 5, 0.5L), 5696.789530152175143607977274672800795328L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_legendrel(4, 2, -0.5L), 4.218750000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(assoc_legendrel(7, 5, -0.5L), 5696.789530152175143607977274672800795328L, eps * 100, __LINE__);
+
+   check_close_fraction_l(legendrel(1, 0.5L), 0.5L, eps * 100, __LINE__);
+   check_close_fraction_l(legendrel(4, 0.5L), -0.2890625000000000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(legendrel(7, 0.5L), 0.2231445312500000000000000000000000000000L, eps * 100, __LINE__);
+   check_close_fraction_l(legendrel(40, 0.5L), -0.09542943523261546936538467572384923220258L, eps * 100, __LINE__);
+
+   sv = eps / 1024;
+   check_close_l(betal(1, 1), 1, eps * 20 * 100, __LINE__);
+   check_close_l(betal(1, 4), 0.25, eps * 20 * 100, __LINE__);
+   check_close_l(betal(4, 1), 0.25, eps * 20 * 100, __LINE__);
+   check_close_l(betal(sv, 4), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_l(betal(4, sv), 1/sv, eps * 20 * 100, __LINE__);
+   check_close_l(betal(4, 20), 0.00002823263692828910220214568040654997176736L, eps * 20 * 100, __LINE__);
+   check_close_l(betal(0.0125L, 0.000023L), 43558.24045647538375006349016083320744662L, eps * 20 * 100, __LINE__);
+
+   check_close_l(comp_ellint_1l(0), 1.5707963267948966192313216916397514420985846996876L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(0.125), 1.5769867712158131421244030532288080803822271060839L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(0.25), 1.5962422221317835101489690714979498795055744578951L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(300/1024.0L), 1.6062331054696636704261124078746600894998873503208L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(400/1024.0L), 1.6364782007562008756208066125715722889067992997614L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(-0.5), 1.6857503548125960428712036577990769895008008941411L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_1l(-0.75), 1.9109897807518291965531482187613425592531451316788L, eps * 5000, __LINE__);
+
+   check_close_l(comp_ellint_2l(-1), 1.0L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(0), 1.5707963267948966192313216916397514420985846996876L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(100 / 1024.0L), 1.5670445330545086723323795143598956428788609133377L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(200 / 1024.0L), 1.5557071588766556854463404816624361127847775545087L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(300 / 1024.0L), 1.5365278991162754883035625322482669608948678755743L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(400 / 1024.0L), 1.5090417763083482272165682786143770446401437564021L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-0.5), 1.4674622093394271554597952669909161360253617523272L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-600 / 1024.0L), 1.4257538571071297192428217218834579920545946473778L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-800 / 1024.0L), 1.2927868476159125056958680222998765985004489572909L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_2l(-900 / 1024.0L), 1.1966864890248739524112920627353824133420353430982L, eps * 5000, __LINE__);
+
+   check_close_l(comp_ellint_3l(0.2L, 0), 1.586867847454166237308008033828114192951L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.4L, 0), 1.639999865864511206865258329748601457626L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.0L, 0), 1.57079632679489661923132169163975144209858469968755291048747L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.0L, 0.5), 2.221441469079183123507940495030346849307L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(0.3L, -4), 0.712708870925620061597924858162260293305195624270730660081949L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.5L, -1e+05), 0.00496944596485066055800109163256108604615568144080386919012831L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.75L, -1e+10), 0.0000157080225184890546939710019277357161497407143903832703317801L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.875L, 1 / 1024.0L), 2.18674503176462374414944618968850352696579451638002110619287L, eps * 5000, __LINE__);
+   check_close_l(comp_ellint_3l(-0.875L, 1023/1024.0L), 101.045289804941384100960063898569538919135722087486350366997L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_bessel_il(2.25L, 1/(1024.0L*1024.0L)), 2.34379212133481347189068464680335815256364262507955635911656e-15L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(5.5L, 3.125), 0.0583514045989371500460946536220735787163510569634133670181210L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-5 + 1.0L/1024.0L, 2.125), 0.0267920938009571023702933210070984416052633027166975342895062L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-5.5L, 10), 597.577606961369169607937419869926705730305175364662688426534L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-10486074.0L/(1024.0L*1024), 1/1024.0L), 1.41474005665181350367684623930576333542989766867888186478185e35L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-10486074.0L/(1024.0L*1024), 50), 1.07153277202900671531087024688681954238311679648319534644743e20L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(144794.0L/1024.0L, 100), 2066.27694757392660413922181531984160871678224178890247540320L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_il(-144794.0L/1024.0L, 100), 2066.27694672763190927440969155740243346136463461655104698748L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_bessel_jl(2457/1024.0L, 1/1024.0L), 3.80739920118603335646474073457326714709615200130620574875292e-9L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(5.5L, 3217.0L/1024), 0.0281933076257506091621579544064767140470089107926550720453038L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-5.5L, 3217.0L/1024), -2.55820064470647911823175836997490971806135336759164272675969L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-5.5L, 1e+04L), 2.449843111985605522111159013846599118397e-03L, eps * 50000, __LINE__);
+   check_close_l(cyl_bessel_jl(5.5L, 1e+04L), 0.00759343502722670361395585198154817047185480147294665270646578L, eps * 5000, __LINE__);
+   //check_close_l(cyl_bessel_jl(5.5L, 1e+06), -0.000747424248595630177396350688505919533097973148718960064663632L, eps * 5000, __LINE__);
+   //check_close_l(cyl_bessel_jl(5.125L, 1e+06), -0.000776600124835704280633640911329691642748783663198207360238214L, eps * 5000, __LINE__);
+   //check_close_l(cyl_bessel_jl(5.875L, 1e+06), -0.000466322721115193071631008581529503095819705088484386434589780L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(0.5L, 101), 0.0358874487875643822020496677692429287863419555699447066226409L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-5.5L, 1e+04L), 0.00244984311198560552211115901384659911839737686676766460822577L, eps * 50000, __LINE__);
+   //check_close_l(cyl_bessel_jl(-5.5L, 1e+06), 0.000279243200433579511095229508894156656558211060453622750659554L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-0.5L, 101), 0.0708184798097594268482290389188138201440114881159344944791454L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-10486074 / (1024*1024.0L), 1/1024.0L), 1.41474013160494695750009004222225969090304185981836460288562e35L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-10486074 / (1024*1024.0L), 15), -0.0902239288885423309568944543848111461724911781719692852541489L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(10486074 / (1024*1024.0L), 1e+02L), -0.0547064914615137807616774867984047583596945624129838091326863L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(10486074 / (1024*1024.0L), 2e+04L), -0.00556783614400875611650958980796060611309029233226596737701688L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_jl(-10486074 / (1024*1024.0L), 1e+02L), -0.0547613660316806551338637153942604550779513947674222863858713L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_bessel_kl(0.5L, 0.875), 0.558532231646608646115729767013630967055657943463362504577189L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(0.5L, 1.125), 0.383621010650189547146769320487006220295290256657827220786527L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(2.25L, ldexpl(1.0L, -30)), 5.62397392719283271332307799146649700147907612095185712015604e20L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(5.5L, 3217/1024.0L), 1.30623288775012596319554857587765179889689223531159532808379L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(-5.5L, 10), 0.0000733045300798502164644836879577484533096239574909573072142667L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(-5.5L, 100), 5.41274555306792267322084448693957747924412508020839543293369e-45L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(10240/1024.0L, 1/1024.0L), 2.35522579263922076203415803966825431039900000000993410734978e38L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(10240/1024.0L, 10), 0.00161425530039067002345725193091329085443750382929208307802221L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(144793/1024.0L, 100), 1.39565245860302528069481472855619216759142225046370312329416e-6L, eps * 5000, __LINE__);
+   check_close_l(cyl_bessel_kl(144793/1024.0L, 200), 9.11950412043225432171915100042647230802198254567007382956336e-68L, eps * 5000, __LINE__);
+
+   check_close_l(cyl_neumannl(0.5L, 1 / (1024.0L*1024)), -817.033790261762580469303126467917092806755460418223776544122L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(5.5L, 3.125), -2.61489440328417468776474188539366752698192046890955453259866L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-5.5L, 3.125), -0.0274994493896489729948109971802244976377957234563871795364056L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-5.5L, 1e+04), -0.00759343502722670361395585198154817047185480147294665270646578L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-10486074 / (1024*1024.0L), 1/1024.0L), -1.50382374389531766117868938966858995093408410498915220070230e38L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(-10486074 / (1024*1024.0L), 1e+02L), 0.0583041891319026009955779707640455341990844522293730214223545L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(141.75L, 1e+02), -5.38829231428696507293191118661269920130838607482708483122068e9L, eps * 5000, __LINE__);
+   check_close_l(cyl_neumannl(141.75L, 2e+04), -0.00376577888677186194728129112270988602876597726657372330194186L, eps * 50000, __LINE__);
+   check_close_l(cyl_neumannl(-141.75L, 1e+02), -3.81009803444766877495905954105669819951653361036342457919021e9L, eps * 5000, __LINE__);
+
+   check_close_l(ellint_1l(0, 0), 0, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0, -10), -10, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(-1, -1), -1.2261911708835170708130609674719067527242483502207L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.875L, -4), -5.3190556182262405182189463092940736859067548232647L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(-0.625L, 8), 9.0419973860310100524448893214394562615252527557062L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.875L, 1e-05L), 0.000010000000000127604166668510945638036143355898993088L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(10/1024.0L, 1e+05L), 100002.38431454899771096037307519328741455615271038L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(1, 1e-20L), 1.0000000000000000000000000000000000000000166666667e-20L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(1e-20L, 1e-20L), 1.000000000000000e-20L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(400/1024.0L, 1e+20L), 1.0418143796499216839719289963154558027005142709763e20L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 2), 2.1765877052210673672479877957388515321497888026770L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 4), 4.2543274975235836861894752787874633017836785640477L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 6), 6.4588766202317746302999080620490579800463614807916L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, 10), 10.697409951222544858346795279378531495869386960090L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -2), -2.1765877052210673672479877957388515321497888026770L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -4), -4.2543274975235836861894752787874633017836785640477L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -6), -6.4588766202317746302999080620490579800463614807916L, eps * 5000, __LINE__);
+   check_close_l(ellint_1l(0.5L, -10), -10.697409951222544858346795279378531495869386960090L, eps * 5000, __LINE__);
+
+   check_close_l(ellint_2l(0, 0), 0, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(0, -10), -10, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(-1, -1), -0.84147098480789650665250232163029899962256306079837L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(900 / 1024.0L, -4), -3.1756145986492562317862928524528520686391383168377L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(-600 / 1024.0L, 8), 7.2473147180505693037677015377802777959345489333465L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(800 / 1024.0L, 1e-05L), 9.999999999898274739584436515967055859383969942432E-6L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(100 / 1024.0L, 1e+05L), 99761.153306972066658135668386691227343323331995888L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(-0.5L, 1e+10L), 9.3421545766487137036576748555295222252286528414669e9L, eps * 5000, __LINE__);
+   check_close_l(ellint_2l(400 / 1024.0L, ldexpl(1, 66)), 7.0886102721911705466476846969992069994308167515242e19L, eps * 5000, __LINE__);
+
+   check_close_l(ellint_3l(0, 1, -1), -1.557407724654902230506974807458360173087L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.4L, 0, -4), -4.153623371196831087495427530365430979011L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(-0.6L, 0, 8), 8.935930619078575123490612395578518914416L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.25L, 0, 0.5L), 0.501246705365439492445236118603525029757890291780157969500480L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0, 0.5L), 0.5L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, -2, 0.5L), 0.437501067017546278595664813509803743009132067629603474488486L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0.25L, 0.5L), 0.510269830229213412212501938035914557628394166585442994564135L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0.75L, 0.5L), 0.533293253875952645421201146925578536430596894471541312806165L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 0.75L, 0.75), 0.871827580412760575085768367421866079353646112288567703061975L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 1, 0.25L), 0.255341921221036266504482236490473678204201638800822621740476L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 2, 0.25L), 0.261119051639220165094943572468224137699644963125853641716219L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0, 1023/1024.0L, 1.5), 13.2821612239764190363647953338544569682942329604483733197131L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.5L, 0.5L, -1), -1.228014414316220642611298946293865487807L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.5L, 0.5L, 1e+10L), 1.536591003599172091573590441336982730551e+10L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.75L, -1e+05L, 10), 0.0347926099493147087821620459290460547131012904008557007934290L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, -1e+10L, 10), 0.000109956202759561502329123384755016959364346382187364656768212L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, -1e+10L, 1e+20L), 1.00000626665567332602765201107198822183913978895904937646809e15L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, -1e+10L, 1608/1024.0L), 0.0000157080616044072676127333183571107873332593142625043567690379L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.875L, 1-1 / 1024.0L, 1e+20L), 6.43274293944380717581167058274600202023334985100499739678963e21L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.25L, 50, 0.1L), 0.124573770342749525407523258569507331686458866564082916835900L, eps * 5000, __LINE__);
+   check_close_l(ellint_3l(0.25L, 1.125L, 1), 1.77299767784815770192352979665283069318388205110727241629752L, eps * 5000, __LINE__);
+
+   check_close_l(expintl(1/1024.0L), -6.35327933972759151358547423727042905862963067106751711596065L, eps * 5000, __LINE__);
+   check_close_l(expintl(0.125), -1.37320852494298333781545045921206470808223543321810480716122L, eps * 5000, __LINE__);
+   check_close_l(expintl(0.5), 0.454219904863173579920523812662802365281405554352642045162818L, eps * 5000, __LINE__);
+   check_close_l(expintl(1), 1.89511781635593675546652093433163426901706058173270759164623L, eps * 5000, __LINE__);
+   check_close_l(expintl(50.5), 1.72763195602911805201155668940185673806099654090456049881069e20L, eps * 5000, __LINE__);
+   check_close_l(expintl(-1/1024.0L), -6.35523246483107180261445551935803221293763008553775821607264L, eps * 5000, __LINE__);
+   check_close_l(expintl(-0.125), -1.62342564058416879145630692462440887363310605737209536579267L, eps * 5000, __LINE__);
+   check_close_l(expintl(-0.5), -0.559773594776160811746795939315085235226846890316353515248293L, eps * 5000, __LINE__);
+   check_close_l(expintl(-1), -0.219383934395520273677163775460121649031047293406908207577979L, eps * 5000, __LINE__);
+   check_close_l(expintl(-50.5), -2.27237132932219350440719707268817831250090574830769670186618e-24L, eps * 5000, __LINE__);
+
+   check_close_fraction_l(hermitel(0, 1), 1.L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 1), 2.L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 2), 4.L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 10), 20, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 100), 200, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(1, 1e6), 2e6L, 100 * eps, __LINE__);
+   //check_close_fraction_l(hermitel(10, 30), 5.896624628001300E+17L, 100 * eps, __LINE__);
+   //check_close_fraction_l(hermitel(10, 1000), 1.023976960161280E+33L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(10, 10), 8.093278209760000E+12L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(10, -10), 8.093278209760000E+12L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(3, -10), -7.880000000000000E+3L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(3, -1000), -7.999988000000000E+9L, 100 * eps, __LINE__);
+   check_close_fraction_l(hermitel(3, -1000000), -7.999999999988000E+18L, 100 * eps, __LINE__);
+
+   check_close_l(riemann_zetal(0.125), -0.63277562349869525529352526763564627152686379131122L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(1023 / 1024.0L), -1023.4228554489429786541032870895167448906103303056L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(1025 / 1024.0L), 1024.5772867695045940578681624248887776501597556226L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(0.5L), -1.46035450880958681288949915251529801246722933101258149054289L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(1.125L), 8.5862412945105752999607544082693023591996301183069L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(2), 1.6449340668482264364724151666460251892189499012068L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(3.5L), 1.1267338673170566464278124918549842722219969574036L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(4), 1.08232323371113819151600369654116790277475095191872690768298L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(4 + 1 / 1024.0L), 1.08225596856391369799036835439238249195298434901488518878804L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(4.5L), 1.05470751076145426402296728896028011727249383295625173068468L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(6.5L), 1.01200589988852479610078491680478352908773213619144808841031L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(7.5L), 1.00582672753652280770224164440459408011782510096320822989663L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(8.125L), 1.0037305205308161603183307711439385250181080293472L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(16.125L), 1.0000140128224754088474783648500235958510030511915L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(0), -0.5L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-0.125L), -0.39906966894504503550986928301421235400280637468895L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-1), -0.083333333333333333333333333333333333333333333333333L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-2), 0, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-2.5L), 0.0085169287778503305423585670283444869362759902200745L, eps * 5000 * 3, __LINE__);
+   check_close_l(riemann_zetal(-3), 0.0083333333333333333333333333333333333333333333333333L, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-4), 0, eps * 5000, __LINE__);
+   check_close_l(riemann_zetal(-20), 0, eps * 5000 * 100, __LINE__);
+   check_close_l(riemann_zetal(-21), -281.46014492753623188405797101449275362318840579710L, eps * 5000 * 100, __LINE__);
+   check_close_l(riemann_zetal(-30.125L), 2.2762941726834511267740045451463455513839970804578e7L, eps * 5000 * 100, __LINE__);
+
+   check_close_l(sph_bessell(0, 0.1433600485324859619140625e-1L), 0.9999657468461303487880990241993035937654e0L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(0, 0.1760916970670223236083984375e-1L), 0.9999483203249623334100130061926184665364e0L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(2, 0.1433600485324859619140625e-1L), 0.1370120120703995134662099191103188366059e-4L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(2, 0.1760916970670223236083984375e-1L), 0.2067173265753174063228459655801741280461e-4L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(7, 0.1252804412841796875e3L), 0.7887555711993028736906736576314283291289e-2L,  eps * 5000 * 100, __LINE__);
+   check_close_l(sph_bessell(7, 0.25554705810546875e3L), -0.1463292767579579943284849187188066532514e-2L,  eps * 5000 * 100, __LINE__);
+
+   check_close_l(sph_neumannl(0, 0.408089816570281982421875e0L), -0.2249212131304610409189209411089291558038e1L, eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(0, 0.6540834903717041015625e0L), -0.1213309779166084571756446746977955970241e1L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(2, 0.408089816570281982421875e0L), -0.4541702641837159203058389758895634766256e2L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(2, 0.6540834903717041015625e0L), -0.1156112621471167110574129561700037138981e2L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(10, 0.1097540378570556640625e1L), -0.2427889658115064857278886600528596240123e9L,   eps * 5000 * 100, __LINE__);
+   check_close_l(sph_neumannl(10, 0.30944411754608154296875e1L), -0.3394649246350136450439882104151313759251e4L,   eps * 5000 * 100, __LINE__);
+
+   check_close_fraction_l(sph_legendrel(3, 2, 0.5L), 0.2061460599687871330692286791802688341213L, eps * 5000, __LINE__);
+   check_close_fraction_l(sph_legendrel(40, 15, 0.75L), -0.406036847302819452666908966769096223205057182668333862900509L, eps * 5000, __LINE__);
+#endif
+#endif
+}
+
+int main(int argc, char* argv[])
+{
+#ifndef TEST_LD
+   test_values_f("float");
+   test_values("double");
+#else
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_valuesl("long double");
+#endif
+#endif
+   return errors;
+}
diff --git a/src/boost/libs/math/test/test_tr1.cpp b/src/boost/libs/math/test/test_tr1.cpp
new file mode 100644
index 000000000..ec7c883f0
--- /dev/null
+++ b/src/boost/libs/math/test/test_tr1.cpp
@@ -0,0 +1,1627 @@
+//  (C) Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <math.h>  // ldexpf
+#include <iostream>
+#include <iomanip>
+
+#ifdef TEST_STD
+#include <cmath>
+namespace tr1 = std::tr1;
+#else
+#include <boost/math/tr1.hpp>
+namespace tr1 = boost::math::tr1;
+#endif
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4100) // unreferenced formal parameter
+// Can't just comment parameter out because reference or not depends on macro define.
+#endif
+
+void test_values(float, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+#ifndef TEST_LD
+   //
+   // First the C99 math functions:
+   //
+   float eps = boost::math::tools::epsilon<float>();
+   BOOST_CHECK_CLOSE(tr1::acoshf(std::cosh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinhf(std::sinh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanhf(std::tanh(0.5f)), 0.5f, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrtf(1.5f * 1.5f * 1.5f), 1.5f, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysignf(1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysignf(1.0f, -1.0f) == -1.0f);
+   BOOST_CHECK(tr1::copysignf(-1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysignf(-1.0f, -1.0f) == -1.0f);
+
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(0.125)), static_cast<float>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(0.5)), static_cast<float>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(1)), static_cast<float>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(5)), static_cast<float>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(-0.125)), static_cast<float>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(-0.5)), static_cast<float>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcf(static_cast<float>(0)), static_cast<float>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(0.125)), static_cast<float>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(0.5)), static_cast<float>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(1)), static_cast<float>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(5)), static_cast<float>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(-0.125)), static_cast<float>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(-0.5)), static_cast<float>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erff(static_cast<float>(0)), static_cast<float>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1pf(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1f(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1pf(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1f(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmaxf(0.1f, -0.1f), 0.1f);
+   BOOST_CHECK_EQUAL(tr1::fminf(0.1f, -0.1f), -0.1f);
+
+   BOOST_CHECK_CLOSE(tr1::hypotf(1.0f, 3.0f), std::sqrt(10.0f), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(3.5)), static_cast<float>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(0.125)), static_cast<float>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(-0.125)), static_cast<float>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(-3.125)), static_cast<float>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammaf(static_cast<float>(-53249.0/1024)), static_cast<float>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(3.5)), static_cast<float>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(0.125)), static_cast<float>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(-0.125)), static_cast<float>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammaf(static_cast<float>(-3.125)), static_cast<float>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llroundf(2.5f) == 3LL);
+   BOOST_CHECK(tr1::llroundf(2.25f) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lroundf(2.5f) == 3L);
+   BOOST_CHECK(tr1::lroundf(2.25f) == 2L);
+   BOOST_CHECK(tr1::roundf(2.5f) == 3.0f);
+   BOOST_CHECK(tr1::roundf(2.25f) == 2.0f);
+
+   BOOST_CHECK(tr1::nextafterf(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafterf(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, -2.0f), 2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafterf(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafterf(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafterf(tr1::nextafterf(1.0f, -2.0f), 2.0f) == 1.0f);
+
+   BOOST_CHECK(tr1::truncf(2.5f) == 2.0f);
+   BOOST_CHECK(tr1::truncf(2.25f) == 2.0f);
+
+   //
+   // And again but without the "f" suffix on the function names:
+   //
+   BOOST_CHECK_CLOSE(tr1::acosh(std::cosh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinh(std::sinh(0.5f)), 0.5f, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanh(std::tanh(0.5f)), 0.5f, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrt(1.5f * 1.5f * 1.5f), 1.5f, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysign(1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysign(1.0f, -1.0f) == -1.0f);
+   BOOST_CHECK(tr1::copysign(-1.0f, 1.0f) == 1.0f);
+   BOOST_CHECK(tr1::copysign(-1.0f, -1.0f) == -1.0f);
+
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(0.125)), static_cast<float>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(0.5)), static_cast<float>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(1)), static_cast<float>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(5)), static_cast<float>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(-0.125)), static_cast<float>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(-0.5)), static_cast<float>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<float>(0)), static_cast<float>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(0.125)), static_cast<float>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(0.5)), static_cast<float>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(1)), static_cast<float>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(5)), static_cast<float>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(-0.125)), static_cast<float>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(-0.5)), static_cast<float>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<float>(0)), static_cast<float>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<float>(0.582029759883880615234375e0)), static_cast<float>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<float>(-0.2047410048544406890869140625e-1)), static_cast<float>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmax(0.1f, -0.1f), 0.1f);
+   BOOST_CHECK_EQUAL(tr1::fmin(0.1f, -0.1f), -0.1f);
+
+   BOOST_CHECK_CLOSE(tr1::hypot(1.0f, 3.0f), std::sqrt(10.0f), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(3.5)), static_cast<float>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(0.125)), static_cast<float>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(-0.125)), static_cast<float>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(-3.125)), static_cast<float>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<float>(-53249.0/1024)), static_cast<float>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(3.5)), static_cast<float>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(0.125)), static_cast<float>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(-0.125)), static_cast<float>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<float>(-3.125)), static_cast<float>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llround(2.5f) == 3LL);
+   BOOST_CHECK(tr1::llround(2.25f) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lround(2.5f) == 3L);
+   BOOST_CHECK(tr1::lround(2.25f) == 2L);
+   BOOST_CHECK(tr1::round(2.5f) == 3.0f);
+   BOOST_CHECK(tr1::round(2.25f) == 2.0f);
+
+   BOOST_CHECK(tr1::nextafter(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafter(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, -2.0f), 2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafter(1.0f, 2.0f) > 1.0f);
+   BOOST_CHECK(tr1::nextafter(1.0f, -2.0f) < 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, 2.0f), -2.0f) == 1.0f);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0f, -2.0f), 2.0f) == 1.0f);
+
+   BOOST_CHECK(tr1::trunc(2.5f) == 2.0f);
+   BOOST_CHECK(tr1::trunc(2.25f) == 2.0f);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(4, 5, static_cast<float>(0.5L)), static_cast<float>(88.31510416666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 0, static_cast<float>(2.5L)), static_cast<float>(-0.8802526766660982969576719576719576719577L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 1, static_cast<float>(4.5L)), static_cast<float>(1.564311458042689732142857142857142857143L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 6, static_cast<float>(8.5L)), static_cast<float>(20.51596541066649098875661375661375661376L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(10, 12, static_cast<float>(12.5L)), static_cast<float>(-199.5560968456234671241181657848324514991L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerref(50, 40, static_cast<float>(12.5L)), static_cast<float>(-4.996769495006119488583146995907246595400e16L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(4, static_cast<float>(0.5L)), static_cast<float>(-0.3307291666666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(7, static_cast<float>(0.5L)), static_cast<float>(-0.5183392237103174603174603174603174603175L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(20, static_cast<float>(0.5L)), static_cast<float>(0.3120174870800154148915399248893113634676L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(50, static_cast<float>(0.5L)), static_cast<float>(-0.3181388060269979064951118308575628226834L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(1, static_cast<float>(-0.5L)), static_cast<float>(1.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(4, static_cast<float>(-0.5L)), static_cast<float>(3.835937500000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(7, static_cast<float>(-0.5L)), static_cast<float>(7.950934709821428571428571428571428571429L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(20, static_cast<float>(-0.5L)), static_cast<float>(76.12915699869631476833699787070874048223L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(50, static_cast<float>(-0.5L)), static_cast<float>(2307.428631277506570629232863491518399720L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(1, static_cast<float>(4.5L)), static_cast<float>(-3.500000000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(4, static_cast<float>(4.5L)), static_cast<float>(0.08593750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(7, static_cast<float>(4.5L)), static_cast<float>(-1.036928013392857142857142857142857142857L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(20, static_cast<float>(4.5L)), static_cast<float>(1.437239150257817378525582974722170737587L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerref(50, static_cast<float>(4.5L)), static_cast<float>(-0.7795068145562651416494321484050019245248L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(4, 2, static_cast<float>(0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(7, 5, static_cast<float>(0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(4, 2, static_cast<float>(-0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendref(7, 5, static_cast<float>(-0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(4, static_cast<float>(0.5L)), static_cast<float>(-0.2890625000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(7, static_cast<float>(0.5L)), static_cast<float>(0.2231445312500000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendref(40, static_cast<float>(0.5L)), static_cast<float>(-0.09542943523261546936538467572384923220258L), eps * 100);
+
+   float sv = eps / 1024;
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(1), static_cast<float>(1)), static_cast<float>(1), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(1), static_cast<float>(4)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(4), static_cast<float>(1)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(sv, static_cast<float>(4)), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(4), sv), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(4), static_cast<float>(20)), static_cast<float>(0.00002823263692828910220214568040654997176736L), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::betaf(static_cast<float>(0.0125L), static_cast<float>(0.000023L)), static_cast<float>(43558.24045647538375006349016083320744662L), eps * 20 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(0.125)), static_cast<float>(1.5769867712158131421244030532288080803822271060839), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(0.25)), static_cast<float>(1.5962422221317835101489690714979498795055744578951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(300)/1024), static_cast<float>(1.6062331054696636704261124078746600894998873503208), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(400)/1024), static_cast<float>(1.6364782007562008756208066125715722889067992997614), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(-0.5)), static_cast<float>(1.6857503548125960428712036577990769895008008941411), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1f(static_cast<float>(-0.75)), static_cast<float>(1.9109897807518291965531482187613425592531451316788), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-1)), static_cast<float>(1), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(100) / 1024), static_cast<float>(1.5670445330545086723323795143598956428788609133377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(200) / 1024), static_cast<float>(1.5557071588766556854463404816624361127847775545087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(300) / 1024), static_cast<float>(1.5365278991162754883035625322482669608948678755743), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(400) / 1024), static_cast<float>(1.5090417763083482272165682786143770446401437564021), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-0.5)), static_cast<float>(1.4674622093394271554597952669909161360253617523272), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-600) / 1024), static_cast<float>(1.4257538571071297192428217218834579920545946473778), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-800) / 1024), static_cast<float>(1.2927868476159125056958680222998765985004489572909), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2f(static_cast<float>(-900) / 1024), static_cast<float>(1.1966864890248739524112920627353824133420353430982), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0.2), static_cast<float>(0)), static_cast<float>(1.586867847454166237308008033828114192951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0.4), static_cast<float>(0)), static_cast<float>(1.639999865864511206865258329748601457626), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(1.57079632679489661923132169163975144209858469968755291048747), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(2.221441469079183123507940495030346849307), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(0.3), static_cast<float>(-4)), static_cast<float>(0.712708870925620061597924858162260293305195624270730660081949), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.5), static_cast<float>(-1e+05)), static_cast<float>(0.00496944596485066055800109163256108604615568144080386919012831), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.75), static_cast<float>(-1e+10)), static_cast<float>(0.0000157080225184890546939710019277357161497407143903832703317801), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.875), static_cast<float>(1) / 1024), static_cast<float>(2.18674503176462374414944618968850352696579451638002110619287), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3f(static_cast<float>(-0.875), static_cast<float>(1023)/1024), static_cast<float>(101.045289804941384100960063898569538919135722087486350366997), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(2.25), static_cast<float>(1)/(1024*1024)), static_cast<float>(2.34379212133481347189068464680335815256364262507955635911656e-15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(0.0583514045989371500460946536220735787163510569634133670181210), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-5) + static_cast<float>(1)/1024, static_cast<float>(2.125)), static_cast<float>(0.0267920938009571023702933210070984416052633027166975342895062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(597.577606961369169607937419869926705730305175364662688426534), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474005665181350367684623930576333542989766867888186478185e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(50)), static_cast<float>(1.07153277202900671531087024688681954238311679648319534644743e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694757392660413922181531984160871678224178890247540320), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_if(static_cast<float>(-144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694672763190927440969155740243346136463461655104698748), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(2457)/1024, static_cast<float>(1)/1024), static_cast<float>(3.80739920118603335646474073457326714709615200130620574875292e-9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(0.0281933076257506091621579544064767140470089107926550720453038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(3217)/1024), static_cast<float>(-2.55820064470647911823175836997490971806135336759164272675969), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(2.449843111985605522111159013846599118397e-03), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.5), static_cast<float>(1e+04)), static_cast<float>(0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.5), static_cast<float>(1e+06)), static_cast<float>(-0.000747424248595630177396350688505919533097973148718960064663632), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.125), static_cast<float>(1e+06)), static_cast<float>(-0.000776600124835704280633640911329691642748783663198207360238214), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(5.875), static_cast<float>(1e+06)), static_cast<float>(-0.000466322721115193071631008581529503095819705088484386434589780), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(0.5), static_cast<float>(101)), static_cast<float>(0.0358874487875643822020496677692429287863419555699447066226409), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(0.00244984311198560552211115901384659911839737686676766460822577), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-5.5), static_cast<float>(1e+06)), static_cast<float>(0.000279243200433579511095229508894156656558211060453622750659554), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-0.5), static_cast<float>(101)), static_cast<float>(0.0708184798097594268482290389188138201440114881159344944791454), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474013160494695750009004222225969090304185981836460288562e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(15)), static_cast<float>(-0.0902239288885423309568944543848111461724911781719692852541489), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547064914615137807616774867984047583596945624129838091326863), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(10486074) / (1024*1024), static_cast<float>(2e+04)), static_cast<float>(-0.00556783614400875611650958980796060611309029233226596737701688), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547613660316806551338637153942604550779513947674222863858713), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(0.5), static_cast<float>(0.875)), static_cast<float>(0.558532231646608646115729767013630967055657943463362504577189), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(0.5), static_cast<float>(1.125)), static_cast<float>(0.383621010650189547146769320487006220295290256657827220786527), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(2.25), static_cast<float>(std::ldexp(1.0, -30))), static_cast<float>(5.62397392719283271332307799146649700147907612095185712015604e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(1.30623288775012596319554857587765179889689223531159532808379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(0.0000733045300798502164644836879577484533096239574909573072142667), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(-5.5), static_cast<float>(100)), static_cast<float>(5.41274555306792267322084448693957747924412508020839543293369e-45), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(10240)/1024, static_cast<float>(1)/1024), static_cast<float>(2.35522579263922076203415803966825431039900000000993410734978e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(10240)/1024, static_cast<float>(10)), static_cast<float>(0.00161425530039067002345725193091329085443750382929208307802221), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(144793)/1024, static_cast<float>(100)), static_cast<float>(1.39565245860302528069481472855619216759142225046370312329416e-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kf(static_cast<float>(144793)/1024, static_cast<float>(200)), static_cast<float>(9.11950412043225432171915100042647230802198254567007382956336e-68), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(0.5), static_cast<float>(1) / (1024*1024)), static_cast<float>(-817.033790261762580469303126467917092806755460418223776544122), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(-2.61489440328417468776474188539366752698192046890955453259866), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-5.5), static_cast<float>(3.125)), static_cast<float>(-0.0274994493896489729948109971802244976377957234563871795364056), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(-0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(-1.50382374389531766117868938966858995093408410498915220070230e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(0.0583041891319026009955779707640455341990844522293730214223545), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(141.75), static_cast<float>(1e+02)), static_cast<float>(-5.38829231428696507293191118661269920130838607482708483122068e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(141.75), static_cast<float>(2e+04)), static_cast<float>(-0.00376577888677186194728129112270988602876597726657372330194186), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannf(static_cast<float>(-141.75), static_cast<float>(1e+02)), static_cast<float>(-3.81009803444766877495905954105669819951653361036342457919021e9), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-1.2261911708835170708130609674719067527242483502207), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.875), static_cast<float>(-4)), static_cast<float>(-5.3190556182262405182189463092940736859067548232647), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(-0.625), static_cast<float>(8)), static_cast<float>(9.0419973860310100524448893214394562615252527557062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.875), static_cast<float>(1e-05)), static_cast<float>(0.000010000000000127604166668510945638036143355898993088), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(10)/1024, static_cast<float>(1e+05)), static_cast<float>(100002.38431454899771096037307519328741455615271038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(1), static_cast<float>(1e-20)), static_cast<float>(1.0000000000000000000000000000000000000000166666667e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(1e-20), static_cast<float>(1e-20)), static_cast<float>(1.000000000000000e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(400)/1024, static_cast<float>(1e+20)), static_cast<float>(1.0418143796499216839719289963154558027005142709763e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(2)), static_cast<float>(2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(4)), static_cast<float>(4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(6)), static_cast<float>(6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(10)), static_cast<float>(10.697409951222544858346795279378531495869386960090), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-2)), static_cast<float>(-2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-4)), static_cast<float>(-4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-6)), static_cast<float>(-6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1f(static_cast<float>(0.5), static_cast<float>(-10)), static_cast<float>(-10.697409951222544858346795279378531495869386960090), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-0.84147098480789650665250232163029899962256306079837), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(900) / 1024, static_cast<float>(-4)), static_cast<float>(-3.1756145986492562317862928524528520686391383168377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(-600) / 1024, static_cast<float>(8)), static_cast<float>(7.2473147180505693037677015377802777959345489333465), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(800) / 1024, static_cast<float>(1e-05)), static_cast<float>(9.999999999898274739584436515967055859383969942432E-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(100) / 1024, static_cast<float>(1e+05)), static_cast<float>(99761.153306972066658135668386691227343323331995888), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(-0.5), static_cast<float>(1e+10)), static_cast<float>(9.3421545766487137036576748555295222252286528414669e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2f(static_cast<float>(400) / 1024, ldexp(static_cast<float>(1), 66)), static_cast<float>(7.0886102721911705466476846969992069994308167515242e19), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(1), static_cast<float>(-1)), static_cast<float>(-1.557407724654902230506974807458360173087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.4), static_cast<float>(0), static_cast<float>(-4)), static_cast<float>(-4.153623371196831087495427530365430979011), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(-0.6), static_cast<float>(0), static_cast<float>(8)), static_cast<float>(8.935930619078575123490612395578518914416), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.25), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.501246705365439492445236118603525029757890291780157969500480), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.5), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(-2), static_cast<float>(0.5)), static_cast<float>(0.437501067017546278595664813509803743009132067629603474488486), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0.25), static_cast<float>(0.5)), static_cast<float>(0.510269830229213412212501938035914557628394166585442994564135), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.5)), static_cast<float>(0.533293253875952645421201146925578536430596894471541312806165), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.75)), static_cast<float>(0.871827580412760575085768367421866079353646112288567703061975), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(1), static_cast<float>(0.25)), static_cast<float>(0.255341921221036266504482236490473678204201638800822621740476), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(2), static_cast<float>(0.25)), static_cast<float>(0.261119051639220165094943572468224137699644963125853641716219), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0), static_cast<float>(1023)/1024, static_cast<float>(1.5)), static_cast<float>(13.2821612239764190363647953338544569682942329604483733197131), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(-1)), static_cast<float>(-1.228014414316220642611298946293865487807), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(1e+10)), static_cast<float>(1.536591003599172091573590441336982730551e+10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.75), static_cast<float>(-1e+05), static_cast<float>(10)), static_cast<float>(0.0347926099493147087821620459290460547131012904008557007934290), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(10)), static_cast<float>(0.000109956202759561502329123384755016959364346382187364656768212), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1e+20)), static_cast<float>(1.00000626665567332602765201107198822183913978895904937646809e15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1608)/1024), static_cast<float>(0.0000157080616044072676127333183571107873332593142625043567690379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.875), 1-static_cast<float>(1) / 1024, static_cast<float>(1e+20)), static_cast<float>(6.43274293944380717581167058274600202023334985100499739678963e21), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.25), static_cast<float>(50), static_cast<float>(0.1)), static_cast<float>(0.124573770342749525407523258569507331686458866564082916835900), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3f(static_cast<float>(0.25), static_cast<float>(1.125), static_cast<float>(1)), static_cast<float>(1.77299767784815770192352979665283069318388205110727241629752), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(1)/1024), static_cast<float>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(0.125)), static_cast<float>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(0.5)), static_cast<float>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(1)), static_cast<float>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(50.5)), static_cast<float>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-1)/1024), static_cast<float>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-0.125)), static_cast<float>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-0.5)), static_cast<float>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-1)), static_cast<float>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expintf(static_cast<float>(-50.5)), static_cast<float>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(0, static_cast<float>(1)), static_cast<float>(1.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(1)), static_cast<float>(2.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(2)), static_cast<float>(4.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(10)), static_cast<float>(20), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(100)), static_cast<float>(200), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(1, static_cast<float>(1e6)), static_cast<float>(2e6), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(30)), static_cast<float>(5.896624628001300E+17L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(1000)), static_cast<float>(1.023976960161280E+33L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(10, static_cast<float>(-10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(3, static_cast<float>(-10)), static_cast<float>(-7.880000000000000E+3L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(3, static_cast<float>(-1000)), static_cast<float>(-7.999988000000000E+9L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitef(3, static_cast<float>(-1000000)), static_cast<float>(-7.999999999988000E+18L), 100 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(0.125)), static_cast<float>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(1023) / static_cast<float>(1024)), static_cast<float>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(1025) / static_cast<float>(1024)), static_cast<float>(1024.5772867695045940578681624248887776501597556226L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(0.5)), static_cast<float>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(1.125)), static_cast<float>(8.5862412945105752999607544082693023591996301183069L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(2)), static_cast<float>(1.6449340668482264364724151666460251892189499012068L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(3.5)), static_cast<float>(1.1267338673170566464278124918549842722219969574036L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(4)), static_cast<float>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(4 + static_cast<float>(1) / 1024), static_cast<float>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(4.5)), static_cast<float>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(6.5)), static_cast<float>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(7.5)), static_cast<float>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(8.125)), static_cast<float>(1.0037305205308161603183307711439385250181080293472L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(16.125)), static_cast<float>(1.0000140128224754088474783648500235958510030511915L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(0)), static_cast<float>(-0.5L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-0.125)), static_cast<float>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-1)), static_cast<float>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-2)), static_cast<float>(0L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-2.5)), static_cast<float>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000 * 3);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-3)), static_cast<float>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-4)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-20)), static_cast<float>(0), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-21)), static_cast<float>(-281.46014492753623188405797101449275362318840579710L), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetaf(static_cast<float>(-30.125)), static_cast<float>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_besself(0, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.9999657468461303487880990241993035937654e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(0, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.9999483203249623334100130061926184665364e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(2, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.1370120120703995134662099191103188366059e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(2, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.2067173265753174063228459655801741280461e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(7, static_cast<float>(0.1252804412841796875e3)), static_cast<float>(0.7887555711993028736906736576314283291289e-2),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_besself(7, static_cast<float>(0.25554705810546875e3)), static_cast<float>(-0.1463292767579579943284849187188066532514e-2),  eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(0, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.2249212131304610409189209411089291558038e1), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(0, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1213309779166084571756446746977955970241e1),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(2, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.4541702641837159203058389758895634766256e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(2, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1156112621471167110574129561700037138981e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(10, static_cast<float>(0.1097540378570556640625e1)), static_cast<float>(-0.2427889658115064857278886600528596240123e9),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannf(10, static_cast<float>(0.30944411754608154296875e1)), static_cast<float>(-0.3394649246350136450439882104151313759251e4),   eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendref(3, 2, static_cast<float>(0.5)), static_cast<float>(0.2061460599687871330692286791802688341213L), eps * 5000);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendref(40, 15, static_cast<float>(0.75)), static_cast<float>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000);
+
+   //
+   // Now all over again but without the "f" suffix on the function names this time:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(4, 5, static_cast<float>(0.5L)), static_cast<float>(88.31510416666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 0, static_cast<float>(2.5L)), static_cast<float>(-0.8802526766660982969576719576719576719577L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 1, static_cast<float>(4.5L)), static_cast<float>(1.564311458042689732142857142857142857143L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 6, static_cast<float>(8.5L)), static_cast<float>(20.51596541066649098875661375661375661376L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 12, static_cast<float>(12.5L)), static_cast<float>(-199.5560968456234671241181657848324514991L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(50, 40, static_cast<float>(12.5L)), static_cast<float>(-4.996769495006119488583146995907246595400e16L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<float>(0.5L)), static_cast<float>(-0.3307291666666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<float>(0.5L)), static_cast<float>(-0.5183392237103174603174603174603174603175L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<float>(0.5L)), static_cast<float>(0.3120174870800154148915399248893113634676L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<float>(0.5L)), static_cast<float>(-0.3181388060269979064951118308575628226834L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<float>(-0.5L)), static_cast<float>(1.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<float>(-0.5L)), static_cast<float>(3.835937500000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<float>(-0.5L)), static_cast<float>(7.950934709821428571428571428571428571429L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<float>(-0.5L)), static_cast<float>(76.12915699869631476833699787070874048223L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<float>(-0.5L)), static_cast<float>(2307.428631277506570629232863491518399720L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<float>(4.5L)), static_cast<float>(-3.500000000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<float>(4.5L)), static_cast<float>(0.08593750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<float>(4.5L)), static_cast<float>(-1.036928013392857142857142857142857142857L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<float>(4.5L)), static_cast<float>(1.437239150257817378525582974722170737587L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<float>(4.5L)), static_cast<float>(-0.7795068145562651416494321484050019245248L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<float>(0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<float>(0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<float>(-0.5L)), static_cast<float>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<float>(-0.5L)), static_cast<float>(5696.789530152175143607977274672800795328L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(1, static_cast<float>(0.5L)), static_cast<float>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(4, static_cast<float>(0.5L)), static_cast<float>(-0.2890625000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(7, static_cast<float>(0.5L)), static_cast<float>(0.2231445312500000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(40, static_cast<float>(0.5L)), static_cast<float>(-0.09542943523261546936538467572384923220258L), eps * 100);
+
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(1), static_cast<float>(1)), static_cast<float>(1), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(1), static_cast<float>(4)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(4), static_cast<float>(1)), static_cast<float>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(sv, static_cast<float>(4)), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(4), sv), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(4), static_cast<float>(20)), static_cast<float>(0.00002823263692828910220214568040654997176736L), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<float>(0.0125L), static_cast<float>(0.000023L)), static_cast<float>(43558.24045647538375006349016083320744662L), eps * 20 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(0.125)), static_cast<float>(1.5769867712158131421244030532288080803822271060839), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(0.25)), static_cast<float>(1.5962422221317835101489690714979498795055744578951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(300)/1024), static_cast<float>(1.6062331054696636704261124078746600894998873503208), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(400)/1024), static_cast<float>(1.6364782007562008756208066125715722889067992997614), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(-0.5)), static_cast<float>(1.6857503548125960428712036577990769895008008941411), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<float>(-0.75)), static_cast<float>(1.9109897807518291965531482187613425592531451316788), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-1)), static_cast<float>(1), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(0)), static_cast<float>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(100) / 1024), static_cast<float>(1.5670445330545086723323795143598956428788609133377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(200) / 1024), static_cast<float>(1.5557071588766556854463404816624361127847775545087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(300) / 1024), static_cast<float>(1.5365278991162754883035625322482669608948678755743), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(400) / 1024), static_cast<float>(1.5090417763083482272165682786143770446401437564021), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-0.5)), static_cast<float>(1.4674622093394271554597952669909161360253617523272), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-600) / 1024), static_cast<float>(1.4257538571071297192428217218834579920545946473778), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-800) / 1024), static_cast<float>(1.2927868476159125056958680222998765985004489572909), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<float>(-900) / 1024), static_cast<float>(1.1966864890248739524112920627353824133420353430982), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0.2), static_cast<float>(0)), static_cast<float>(1.586867847454166237308008033828114192951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0.4), static_cast<float>(0)), static_cast<float>(1.639999865864511206865258329748601457626), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(1.57079632679489661923132169163975144209858469968755291048747), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(2.221441469079183123507940495030346849307), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(0.3), static_cast<float>(-4)), static_cast<float>(0.712708870925620061597924858162260293305195624270730660081949), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.5), static_cast<float>(-1e+05)), static_cast<float>(0.00496944596485066055800109163256108604615568144080386919012831), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.75), static_cast<float>(-1e+10)), static_cast<float>(0.0000157080225184890546939710019277357161497407143903832703317801), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.875), static_cast<float>(1) / 1024), static_cast<float>(2.18674503176462374414944618968850352696579451638002110619287), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<float>(-0.875), static_cast<float>(1023)/1024), static_cast<float>(101.045289804941384100960063898569538919135722087486350366997), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(2.25), static_cast<float>(1)/(1024*1024)), static_cast<float>(2.34379212133481347189068464680335815256364262507955635911656e-15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(0.0583514045989371500460946536220735787163510569634133670181210), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-5) + static_cast<float>(1)/1024, static_cast<float>(2.125)), static_cast<float>(0.0267920938009571023702933210070984416052633027166975342895062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(597.577606961369169607937419869926705730305175364662688426534), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474005665181350367684623930576333542989766867888186478185e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-10486074)/(1024*1024), static_cast<float>(50)), static_cast<float>(1.07153277202900671531087024688681954238311679648319534644743e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694757392660413922181531984160871678224178890247540320), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<float>(-144794)/1024, static_cast<float>(100)), static_cast<float>(2066.27694672763190927440969155740243346136463461655104698748), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(2457)/1024, static_cast<float>(1)/1024), static_cast<float>(3.80739920118603335646474073457326714709615200130620574875292e-9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(0.0281933076257506091621579544064767140470089107926550720453038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(3217)/1024), static_cast<float>(-2.55820064470647911823175836997490971806135336759164272675969), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(2.449843111985605522111159013846599118397e-03), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.5), static_cast<float>(1e+04)), static_cast<float>(0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.5), static_cast<float>(1e+06)), static_cast<float>(-0.000747424248595630177396350688505919533097973148718960064663632), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.125), static_cast<float>(1e+06)), static_cast<float>(-0.000776600124835704280633640911329691642748783663198207360238214), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(5.875), static_cast<float>(1e+06)), static_cast<float>(-0.000466322721115193071631008581529503095819705088484386434589780), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(0.5), static_cast<float>(101)), static_cast<float>(0.0358874487875643822020496677692429287863419555699447066226409), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(0.00244984311198560552211115901384659911839737686676766460822577), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-5.5), static_cast<float>(1e+06)), static_cast<float>(0.000279243200433579511095229508894156656558211060453622750659554), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-0.5), static_cast<float>(101)), static_cast<float>(0.0708184798097594268482290389188138201440114881159344944791454), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(1.41474013160494695750009004222225969090304185981836460288562e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(15)), static_cast<float>(-0.0902239288885423309568944543848111461724911781719692852541489), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547064914615137807616774867984047583596945624129838091326863), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(10486074) / (1024*1024), static_cast<float>(2e+04)), static_cast<float>(-0.00556783614400875611650958980796060611309029233226596737701688), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(-0.0547613660316806551338637153942604550779513947674222863858713), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(0.5), static_cast<float>(0.875)), static_cast<float>(0.558532231646608646115729767013630967055657943463362504577189), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(0.5), static_cast<float>(1.125)), static_cast<float>(0.383621010650189547146769320487006220295290256657827220786527), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(2.25), static_cast<float>(std::ldexp(1.0, -30))), static_cast<float>(5.62397392719283271332307799146649700147907612095185712015604e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(5.5), static_cast<float>(3217)/1024), static_cast<float>(1.30623288775012596319554857587765179889689223531159532808379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(-5.5), static_cast<float>(10)), static_cast<float>(0.0000733045300798502164644836879577484533096239574909573072142667), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(-5.5), static_cast<float>(100)), static_cast<float>(5.41274555306792267322084448693957747924412508020839543293369e-45), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(10240)/1024, static_cast<float>(1)/1024), static_cast<float>(2.35522579263922076203415803966825431039900000000993410734978e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(10240)/1024, static_cast<float>(10)), static_cast<float>(0.00161425530039067002345725193091329085443750382929208307802221), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(144793)/1024, static_cast<float>(100)), static_cast<float>(1.39565245860302528069481472855619216759142225046370312329416e-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<float>(144793)/1024, static_cast<float>(200)), static_cast<float>(9.11950412043225432171915100042647230802198254567007382956336e-68), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(0.5), static_cast<float>(1) / (1024*1024)), static_cast<float>(-817.033790261762580469303126467917092806755460418223776544122), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(5.5), static_cast<float>(3.125)), static_cast<float>(-2.61489440328417468776474188539366752698192046890955453259866), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-5.5), static_cast<float>(3.125)), static_cast<float>(-0.0274994493896489729948109971802244976377957234563871795364056), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-5.5), static_cast<float>(1e+04)), static_cast<float>(-0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1)/1024), static_cast<float>(-1.50382374389531766117868938966858995093408410498915220070230e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-10486074) / (1024*1024), static_cast<float>(1e+02)), static_cast<float>(0.0583041891319026009955779707640455341990844522293730214223545), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(141.75), static_cast<float>(1e+02)), static_cast<float>(-5.38829231428696507293191118661269920130838607482708483122068e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(141.75), static_cast<float>(2e+04)), static_cast<float>(-0.00376577888677186194728129112270988602876597726657372330194186), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<float>(-141.75), static_cast<float>(1e+02)), static_cast<float>(-3.81009803444766877495905954105669819951653361036342457919021e9), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-1.2261911708835170708130609674719067527242483502207), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.875), static_cast<float>(-4)), static_cast<float>(-5.3190556182262405182189463092940736859067548232647), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(-0.625), static_cast<float>(8)), static_cast<float>(9.0419973860310100524448893214394562615252527557062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.875), static_cast<float>(1e-05)), static_cast<float>(0.000010000000000127604166668510945638036143355898993088), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(10)/1024, static_cast<float>(1e+05)), static_cast<float>(100002.38431454899771096037307519328741455615271038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(1), static_cast<float>(1e-20)), static_cast<float>(1.0000000000000000000000000000000000000000166666667e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(1e-20), static_cast<float>(1e-20)), static_cast<float>(1.000000000000000e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(400)/1024, static_cast<float>(1e+20)), static_cast<float>(1.0418143796499216839719289963154558027005142709763e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(2)), static_cast<float>(2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(4)), static_cast<float>(4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(6)), static_cast<float>(6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(10)), static_cast<float>(10.697409951222544858346795279378531495869386960090), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-2)), static_cast<float>(-2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-4)), static_cast<float>(-4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-6)), static_cast<float>(-6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<float>(0.5), static_cast<float>(-10)), static_cast<float>(-10.697409951222544858346795279378531495869386960090), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(0), static_cast<float>(0)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(0), static_cast<float>(-10)), static_cast<float>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(-1), static_cast<float>(-1)), static_cast<float>(-0.84147098480789650665250232163029899962256306079837), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(900) / 1024, static_cast<float>(-4)), static_cast<float>(-3.1756145986492562317862928524528520686391383168377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(-600) / 1024, static_cast<float>(8)), static_cast<float>(7.2473147180505693037677015377802777959345489333465), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(800) / 1024, static_cast<float>(1e-05)), static_cast<float>(9.999999999898274739584436515967055859383969942432E-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(100) / 1024, static_cast<float>(1e+05)), static_cast<float>(99761.153306972066658135668386691227343323331995888), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(-0.5), static_cast<float>(1e+10)), static_cast<float>(9.3421545766487137036576748555295222252286528414669e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<float>(400) / 1024, static_cast<float>(ldexp(static_cast<double>(1), 66))), static_cast<float>(7.0886102721911705466476846969992069994308167515242e19), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(1), static_cast<float>(-1)), static_cast<float>(-1.557407724654902230506974807458360173087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.4), static_cast<float>(0), static_cast<float>(-4)), static_cast<float>(-4.153623371196831087495427530365430979011), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(-0.6), static_cast<float>(0), static_cast<float>(8)), static_cast<float>(8.935930619078575123490612395578518914416), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.25), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.501246705365439492445236118603525029757890291780157969500480), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0), static_cast<float>(0.5)), static_cast<float>(0.5), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(-2), static_cast<float>(0.5)), static_cast<float>(0.437501067017546278595664813509803743009132067629603474488486), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0.25), static_cast<float>(0.5)), static_cast<float>(0.510269830229213412212501938035914557628394166585442994564135), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.5)), static_cast<float>(0.533293253875952645421201146925578536430596894471541312806165), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(0.75), static_cast<float>(0.75)), static_cast<float>(0.871827580412760575085768367421866079353646112288567703061975), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(1), static_cast<float>(0.25)), static_cast<float>(0.255341921221036266504482236490473678204201638800822621740476), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(2), static_cast<float>(0.25)), static_cast<float>(0.261119051639220165094943572468224137699644963125853641716219), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0), static_cast<float>(1023)/1024, static_cast<float>(1.5)), static_cast<float>(13.2821612239764190363647953338544569682942329604483733197131), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(-1)), static_cast<float>(-1.228014414316220642611298946293865487807), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.5), static_cast<float>(0.5), static_cast<float>(1e+10)), static_cast<float>(1.536591003599172091573590441336982730551e+10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.75), static_cast<float>(-1e+05), static_cast<float>(10)), static_cast<float>(0.0347926099493147087821620459290460547131012904008557007934290), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(10)), static_cast<float>(0.000109956202759561502329123384755016959364346382187364656768212), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1e+20)), static_cast<float>(1.00000626665567332602765201107198822183913978895904937646809e15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), static_cast<float>(-1e+10), static_cast<float>(1608)/1024), static_cast<float>(0.0000157080616044072676127333183571107873332593142625043567690379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.875), 1-static_cast<float>(1) / 1024, static_cast<float>(1e+20)), static_cast<float>(6.43274293944380717581167058274600202023334985100499739678963e21), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.25), static_cast<float>(50), static_cast<float>(0.1)), static_cast<float>(0.124573770342749525407523258569507331686458866564082916835900), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<float>(0.25), static_cast<float>(1.125), static_cast<float>(1)), static_cast<float>(1.77299767784815770192352979665283069318388205110727241629752), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(1)/1024), static_cast<float>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(0.125)), static_cast<float>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(0.5)), static_cast<float>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(1)), static_cast<float>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(50.5)), static_cast<float>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-1)/1024), static_cast<float>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-0.125)), static_cast<float>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-0.5)), static_cast<float>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-1)), static_cast<float>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<float>(-50.5)), static_cast<float>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(0, static_cast<float>(1)), static_cast<float>(1.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(1)), static_cast<float>(2.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(2)), static_cast<float>(4.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(10)), static_cast<float>(20), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(100)), static_cast<float>(200), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<float>(1e6)), static_cast<float>(2e6), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(30)), static_cast<float>(5.896624628001300E+17L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(1000)), static_cast<float>(1.023976960161280E+33L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<float>(-10)), static_cast<float>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<float>(-10)), static_cast<float>(-7.880000000000000E+3L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<float>(-1000)), static_cast<float>(-7.999988000000000E+9L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<float>(-1000000)), static_cast<float>(-7.999999999988000E+18L), 100 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(0.125)), static_cast<float>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(1023) / static_cast<float>(1024)), static_cast<float>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(1025) / static_cast<float>(1024)), static_cast<float>(1024.5772867695045940578681624248887776501597556226L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(0.5)), static_cast<float>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(1.125)), static_cast<float>(8.5862412945105752999607544082693023591996301183069L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(2)), static_cast<float>(1.6449340668482264364724151666460251892189499012068L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(3.5)), static_cast<float>(1.1267338673170566464278124918549842722219969574036L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(4)), static_cast<float>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(4 + static_cast<float>(1) / 1024), static_cast<float>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(4.5)), static_cast<float>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(6.5)), static_cast<float>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(7.5)), static_cast<float>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(8.125)), static_cast<float>(1.0037305205308161603183307711439385250181080293472L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(16.125)), static_cast<float>(1.0000140128224754088474783648500235958510030511915L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(0)), static_cast<float>(-0.5L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-0.125)), static_cast<float>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-1)), static_cast<float>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-2)), static_cast<float>(0L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-2.5)), static_cast<float>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000 * 3);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-3)), static_cast<float>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-4)), static_cast<float>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-20)), static_cast<float>(0), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-21)), static_cast<float>(-281.46014492753623188405797101449275362318840579710L), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<float>(-30.125)), static_cast<float>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.9999657468461303487880990241993035937654e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.9999483203249623334100130061926184665364e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<float>(0.1433600485324859619140625e-1)), static_cast<float>(0.1370120120703995134662099191103188366059e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<float>(0.1760916970670223236083984375e-1)), static_cast<float>(0.2067173265753174063228459655801741280461e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<float>(0.1252804412841796875e3)), static_cast<float>(0.7887555711993028736906736576314283291289e-2),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<float>(0.25554705810546875e3)), static_cast<float>(-0.1463292767579579943284849187188066532514e-2),  eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.2249212131304610409189209411089291558038e1), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1213309779166084571756446746977955970241e1),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<float>(0.408089816570281982421875e0)), static_cast<float>(-0.4541702641837159203058389758895634766256e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<float>(0.6540834903717041015625e0)), static_cast<float>(-0.1156112621471167110574129561700037138981e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<float>(0.1097540378570556640625e1)), static_cast<float>(-0.2427889658115064857278886600528596240123e9),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<float>(0.30944411754608154296875e1)), static_cast<float>(-0.3394649246350136450439882104151313759251e4),   eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(3, 2, static_cast<float>(0.5)), static_cast<float>(0.2061460599687871330692286791802688341213L), eps * 5000);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(40, 15, static_cast<float>(0.75)), static_cast<float>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000);
+#endif
+}
+
+void test_values(double, const char* name)
+{
+   std::cout << "Testing type " << name << std::endl;
+
+#ifndef TEST_LD
+   double eps = boost::math::tools::epsilon<double>();
+   BOOST_CHECK_CLOSE(tr1::acosh(std::cosh(0.5)), 0.5, 500 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinh(std::sinh(0.5)), 0.5, 500 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanh(std::tanh(0.5)), 0.5, 500 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrt(1.5 * 1.5 * 1.5), 1.5, 500 * eps);
+
+   BOOST_CHECK(tr1::copysign(1.0, 1.0) == 1.0);
+   BOOST_CHECK(tr1::copysign(1.0, -1.0) == -1.0);
+   BOOST_CHECK(tr1::copysign(-1.0, 1.0) == 1.0);
+   BOOST_CHECK(tr1::copysign(-1.0, -1.0) == -1.0);
+
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(0.125)), static_cast<double>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(0.5)), static_cast<double>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(1)), static_cast<double>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(5)), static_cast<double>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(-0.125)), static_cast<double>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(-0.5)), static_cast<double>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<double>(0)), static_cast<double>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(0.125)), static_cast<double>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(0.5)), static_cast<double>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(1)), static_cast<double>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(5)), static_cast<double>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(-0.125)), static_cast<double>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(-0.5)), static_cast<double>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<double>(0)), static_cast<double>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<double>(0.582029759883880615234375e0)), static_cast<double>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<double>(0.582029759883880615234375e0)), static_cast<double>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<double>(-0.2047410048544406890869140625e-1)), static_cast<double>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<double>(-0.2047410048544406890869140625e-1)), static_cast<double>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmax(0.1, -0.1), 0.1);
+   BOOST_CHECK_EQUAL(tr1::fmin(0.1, -0.1), -0.1);
+
+   BOOST_CHECK_CLOSE(tr1::hypot(1.0, 3.0), std::sqrt(10.0), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(3.5)), static_cast<double>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(0.125)), static_cast<double>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(-0.125)), static_cast<double>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(-3.125)), static_cast<double>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<double>(-53249.0/1024)), static_cast<double>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(3.5)), static_cast<double>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(0.125)), static_cast<double>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(-0.125)), static_cast<double>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<double>(-3.125)), static_cast<double>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llround(2.5) == 3LL);
+   BOOST_CHECK(tr1::llround(2.25) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lround(2.5) == 3L);
+   BOOST_CHECK(tr1::lround(2.25) == 2L);
+   BOOST_CHECK(tr1::round(2.5) == 3.0);
+   BOOST_CHECK(tr1::round(2.25) == 2.0);
+
+   BOOST_CHECK(tr1::nextafter(1.0, 2.0) > 1.0);
+   BOOST_CHECK(tr1::nextafter(1.0, -2.0) < 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, 2.0), -2.0) == 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, -2.0), 2.0) == 1.0);
+   BOOST_CHECK(tr1::nextafter(1.0, 2.0) > 1.0);
+   BOOST_CHECK(tr1::nextafter(1.0, -2.0) < 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, 2.0), -2.0) == 1.0);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0, -2.0), 2.0) == 1.0);
+
+   BOOST_CHECK(tr1::trunc(2.5) == 2.0);
+   BOOST_CHECK(tr1::trunc(2.25) == 2.0);
+
+   //
+   // Now the TR1 functions:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(4, 5, static_cast<double>(0.5L)), static_cast<double>(88.31510416666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 0, static_cast<double>(2.5L)), static_cast<double>(-0.8802526766660982969576719576719576719577L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 1, static_cast<double>(4.5L)), static_cast<double>(1.564311458042689732142857142857142857143L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 6, static_cast<double>(8.5L)), static_cast<double>(20.51596541066649098875661375661375661376L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10, 12, static_cast<double>(12.5L)), static_cast<double>(-199.5560968456234671241181657848324514991L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(50, 40, static_cast<double>(12.5L)), static_cast<double>(-4.996769495006119488583146995907246595400e16L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<double>(0.5L)), static_cast<double>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<double>(0.5L)), static_cast<double>(-0.3307291666666666666666666666666666666667L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<double>(0.5L)), static_cast<double>(-0.5183392237103174603174603174603174603175L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<double>(0.5L)), static_cast<double>(0.3120174870800154148915399248893113634676L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<double>(0.5L)), static_cast<double>(-0.3181388060269979064951118308575628226834L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<double>(-0.5L)), static_cast<double>(1.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<double>(-0.5L)), static_cast<double>(3.835937500000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<double>(-0.5L)), static_cast<double>(7.950934709821428571428571428571428571429L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<double>(-0.5L)), static_cast<double>(76.12915699869631476833699787070874048223L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<double>(-0.5L)), static_cast<double>(2307.428631277506570629232863491518399720L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1, static_cast<double>(4.5L)), static_cast<double>(-3.500000000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4, static_cast<double>(4.5L)), static_cast<double>(0.08593750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7, static_cast<double>(4.5L)), static_cast<double>(-1.036928013392857142857142857142857142857L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20, static_cast<double>(4.5L)), static_cast<double>(1.437239150257817378525582974722170737587L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50, static_cast<double>(4.5L)), static_cast<double>(-0.7795068145562651416494321484050019245248L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<double>(0.5L)), static_cast<double>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<double>(0.5L)), static_cast<double>(5696.789530152175143607977274672800795328L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4, 2, static_cast<double>(-0.5L)), static_cast<double>(4.218750000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7, 5, static_cast<double>(-0.5L)), static_cast<double>(5696.789530152175143607977274672800795328L), eps * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(1, static_cast<double>(0.5L)), static_cast<double>(0.5L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(4, static_cast<double>(0.5L)), static_cast<double>(-0.2890625000000000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(7, static_cast<double>(0.5L)), static_cast<double>(0.2231445312500000000000000000000000000000L), eps * 100);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(40, static_cast<double>(0.5L)), static_cast<double>(-0.09542943523261546936538467572384923220258L), eps * 100);
+
+   double sv = eps / 1024;
+
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(1), static_cast<double>(1)), static_cast<double>(1), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(1), static_cast<double>(4)), static_cast<double>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(4), static_cast<double>(1)), static_cast<double>(0.25), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(sv, static_cast<double>(4)), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(4), sv), 1/sv, eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(4), static_cast<double>(20)), static_cast<double>(0.00002823263692828910220214568040654997176736L), eps * 20 * 100);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<double>(0.0125L), static_cast<double>(0.000023L)), static_cast<double>(43558.24045647538375006349016083320744662L), eps * 20 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(0)), static_cast<double>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(0.125)), static_cast<double>(1.5769867712158131421244030532288080803822271060839), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(0.25)), static_cast<double>(1.5962422221317835101489690714979498795055744578951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(300)/1024), static_cast<double>(1.6062331054696636704261124078746600894998873503208), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(400)/1024), static_cast<double>(1.6364782007562008756208066125715722889067992997614), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(-0.5)), static_cast<double>(1.6857503548125960428712036577990769895008008941411), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<double>(-0.75)), static_cast<double>(1.9109897807518291965531482187613425592531451316788), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-1)), static_cast<double>(1), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(0)), static_cast<double>(1.5707963267948966192313216916397514420985846996876), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(100) / 1024), static_cast<double>(1.5670445330545086723323795143598956428788609133377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(200) / 1024), static_cast<double>(1.5557071588766556854463404816624361127847775545087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(300) / 1024), static_cast<double>(1.5365278991162754883035625322482669608948678755743), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(400) / 1024), static_cast<double>(1.5090417763083482272165682786143770446401437564021), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-0.5)), static_cast<double>(1.4674622093394271554597952669909161360253617523272), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-600) / 1024), static_cast<double>(1.4257538571071297192428217218834579920545946473778), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-800) / 1024), static_cast<double>(1.2927868476159125056958680222998765985004489572909), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<double>(-900) / 1024), static_cast<double>(1.1966864890248739524112920627353824133420353430982), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0.2), static_cast<double>(0)), static_cast<double>(1.586867847454166237308008033828114192951), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0.4), static_cast<double>(0)), static_cast<double>(1.639999865864511206865258329748601457626), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0), static_cast<double>(0)), static_cast<double>(1.57079632679489661923132169163975144209858469968755291048747), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0), static_cast<double>(0.5)), static_cast<double>(2.221441469079183123507940495030346849307), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(0.3), static_cast<double>(-4)), static_cast<double>(0.712708870925620061597924858162260293305195624270730660081949), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.5), static_cast<double>(-1e+05)), static_cast<double>(0.00496944596485066055800109163256108604615568144080386919012831), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.75), static_cast<double>(-1e+10)), static_cast<double>(0.0000157080225184890546939710019277357161497407143903832703317801), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.875), static_cast<double>(1) / 1024), static_cast<double>(2.18674503176462374414944618968850352696579451638002110619287), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<double>(-0.875), static_cast<double>(1023)/1024), static_cast<double>(101.045289804941384100960063898569538919135722087486350366997), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(2.25), static_cast<double>(1)/(1024*1024)), static_cast<double>(2.34379212133481347189068464680335815256364262507955635911656e-15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(5.5), static_cast<double>(3.125)), static_cast<double>(0.0583514045989371500460946536220735787163510569634133670181210), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-5) + static_cast<double>(1)/1024, static_cast<double>(2.125)), static_cast<double>(0.0267920938009571023702933210070984416052633027166975342895062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-5.5), static_cast<double>(10)), static_cast<double>(597.577606961369169607937419869926705730305175364662688426534), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-10486074)/(1024*1024), static_cast<double>(1)/1024), static_cast<double>(1.41474005665181350367684623930576333542989766867888186478185e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-10486074)/(1024*1024), static_cast<double>(50)), static_cast<double>(1.07153277202900671531087024688681954238311679648319534644743e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(144794)/1024, static_cast<double>(100)), static_cast<double>(2066.27694757392660413922181531984160871678224178890247540320), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<double>(-144794)/1024, static_cast<double>(100)), static_cast<double>(2066.27694672763190927440969155740243346136463461655104698748), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(2457)/1024, static_cast<double>(1)/1024), static_cast<double>(3.80739920118603335646474073457326714709615200130620574875292e-9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.5), static_cast<double>(3217)/1024), static_cast<double>(0.0281933076257506091621579544064767140470089107926550720453038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(3217)/1024), static_cast<double>(-2.55820064470647911823175836997490971806135336759164272675969), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(1e+04)), static_cast<double>(2.449843111985605522111159013846599118397e-03), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.5), static_cast<double>(1e+04)), static_cast<double>(0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.5), static_cast<double>(1e+06)), static_cast<double>(-0.000747424248595630177396350688505919533097973148718960064663632), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.125), static_cast<double>(1e+06)), static_cast<double>(-0.000776600124835704280633640911329691642748783663198207360238214), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(5.875), static_cast<double>(1e+06)), static_cast<double>(-0.000466322721115193071631008581529503095819705088484386434589780), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(0.5), static_cast<double>(101)), static_cast<double>(0.0358874487875643822020496677692429287863419555699447066226409), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(1e+04)), static_cast<double>(0.00244984311198560552211115901384659911839737686676766460822577), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-5.5), static_cast<double>(1e+06)), static_cast<double>(0.000279243200433579511095229508894156656558211060453622750659554), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-0.5), static_cast<double>(101)), static_cast<double>(0.0708184798097594268482290389188138201440114881159344944791454), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1)/1024), static_cast<double>(1.41474013160494695750009004222225969090304185981836460288562e35), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(15)), static_cast<double>(-0.0902239288885423309568944543848111461724911781719692852541489), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(10486074) / (1024*1024), static_cast<double>(1e+02)), static_cast<double>(-0.0547064914615137807616774867984047583596945624129838091326863), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(10486074) / (1024*1024), static_cast<double>(2e+04)), static_cast<double>(-0.00556783614400875611650958980796060611309029233226596737701688), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1e+02)), static_cast<double>(-0.0547613660316806551338637153942604550779513947674222863858713), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(0.5), static_cast<double>(0.875)), static_cast<double>(0.558532231646608646115729767013630967055657943463362504577189), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(0.5), static_cast<double>(1.125)), static_cast<double>(0.383621010650189547146769320487006220295290256657827220786527), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(2.25), static_cast<double>(std::ldexp(1.0, -30))), static_cast<double>(5.62397392719283271332307799146649700147907612095185712015604e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(5.5), static_cast<double>(3217)/1024), static_cast<double>(1.30623288775012596319554857587765179889689223531159532808379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(-5.5), static_cast<double>(10)), static_cast<double>(0.0000733045300798502164644836879577484533096239574909573072142667), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(-5.5), static_cast<double>(100)), static_cast<double>(5.41274555306792267322084448693957747924412508020839543293369e-45), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(10240)/1024, static_cast<double>(1)/1024), static_cast<double>(2.35522579263922076203415803966825431039900000000993410734978e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(10240)/1024, static_cast<double>(10)), static_cast<double>(0.00161425530039067002345725193091329085443750382929208307802221), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(144793)/1024, static_cast<double>(100)), static_cast<double>(1.39565245860302528069481472855619216759142225046370312329416e-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<double>(144793)/1024, static_cast<double>(200)), static_cast<double>(9.11950412043225432171915100042647230802198254567007382956336e-68), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(0.5), static_cast<double>(1) / (1024*1024)), static_cast<double>(-817.033790261762580469303126467917092806755460418223776544122), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(5.5), static_cast<double>(3.125)), static_cast<double>(-2.61489440328417468776474188539366752698192046890955453259866), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-5.5), static_cast<double>(3.125)), static_cast<double>(-0.0274994493896489729948109971802244976377957234563871795364056), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-5.5), static_cast<double>(1e+04)), static_cast<double>(-0.00759343502722670361395585198154817047185480147294665270646578), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1)/1024), static_cast<double>(-1.50382374389531766117868938966858995093408410498915220070230e38), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-10486074) / (1024*1024), static_cast<double>(1e+02)), static_cast<double>(0.0583041891319026009955779707640455341990844522293730214223545), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(141.75), static_cast<double>(1e+02)), static_cast<double>(-5.38829231428696507293191118661269920130838607482708483122068e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(141.75), static_cast<double>(2e+04)), static_cast<double>(-0.00376577888677186194728129112270988602876597726657372330194186), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<double>(-141.75), static_cast<double>(1e+02)), static_cast<double>(-3.81009803444766877495905954105669819951653361036342457919021e9), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0), static_cast<double>(0)), static_cast<double>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0), static_cast<double>(-10)), static_cast<double>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(-1), static_cast<double>(-1)), static_cast<double>(-1.2261911708835170708130609674719067527242483502207), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.875), static_cast<double>(-4)), static_cast<double>(-5.3190556182262405182189463092940736859067548232647), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(-0.625), static_cast<double>(8)), static_cast<double>(9.0419973860310100524448893214394562615252527557062), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.875), static_cast<double>(1e-05)), static_cast<double>(0.000010000000000127604166668510945638036143355898993088), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(10)/1024, static_cast<double>(1e+05)), static_cast<double>(100002.38431454899771096037307519328741455615271038), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(1), static_cast<double>(1e-20)), static_cast<double>(1.0000000000000000000000000000000000000000166666667e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(1e-20), static_cast<double>(1e-20)), static_cast<double>(1.000000000000000e-20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(400)/1024, static_cast<double>(1e+20)), static_cast<double>(1.0418143796499216839719289963154558027005142709763e20), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(2)), static_cast<double>(2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(4)), static_cast<double>(4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(6)), static_cast<double>(6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(10)), static_cast<double>(10.697409951222544858346795279378531495869386960090), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-2)), static_cast<double>(-2.1765877052210673672479877957388515321497888026770), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-4)), static_cast<double>(-4.2543274975235836861894752787874633017836785640477), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-6)), static_cast<double>(-6.4588766202317746302999080620490579800463614807916), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<double>(0.5), static_cast<double>(-10)), static_cast<double>(-10.697409951222544858346795279378531495869386960090), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(0), static_cast<double>(0)), static_cast<double>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(0), static_cast<double>(-10)), static_cast<double>(-10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(-1), static_cast<double>(-1)), static_cast<double>(-0.84147098480789650665250232163029899962256306079837), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(900) / 1024, static_cast<double>(-4)), static_cast<double>(-3.1756145986492562317862928524528520686391383168377), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(-600) / 1024, static_cast<double>(8)), static_cast<double>(7.2473147180505693037677015377802777959345489333465), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(800) / 1024, static_cast<double>(1e-05)), static_cast<double>(9.999999999898274739584436515967055859383969942432E-6), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(100) / 1024, static_cast<double>(1e+05)), static_cast<double>(99761.153306972066658135668386691227343323331995888), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(-0.5), static_cast<double>(1e+10)), static_cast<double>(9.3421545766487137036576748555295222252286528414669e9), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<double>(400) / 1024, ldexp(static_cast<double>(1), 66)), static_cast<double>(7.0886102721911705466476846969992069994308167515242e19), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(1), static_cast<double>(-1)), static_cast<double>(-1.557407724654902230506974807458360173087), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.4), static_cast<double>(0), static_cast<double>(-4)), static_cast<double>(-4.153623371196831087495427530365430979011), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(-0.6), static_cast<double>(0), static_cast<double>(8)), static_cast<double>(8.935930619078575123490612395578518914416), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.25), static_cast<double>(0), static_cast<double>(0.5)), static_cast<double>(0.501246705365439492445236118603525029757890291780157969500480), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0), static_cast<double>(0.5)), static_cast<double>(0.5), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(-2), static_cast<double>(0.5)), static_cast<double>(0.437501067017546278595664813509803743009132067629603474488486), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0.25), static_cast<double>(0.5)), static_cast<double>(0.510269830229213412212501938035914557628394166585442994564135), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0.75), static_cast<double>(0.5)), static_cast<double>(0.533293253875952645421201146925578536430596894471541312806165), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(0.75), static_cast<double>(0.75)), static_cast<double>(0.871827580412760575085768367421866079353646112288567703061975), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(1), static_cast<double>(0.25)), static_cast<double>(0.255341921221036266504482236490473678204201638800822621740476), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(2), static_cast<double>(0.25)), static_cast<double>(0.261119051639220165094943572468224137699644963125853641716219), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0), static_cast<double>(1023)/1024, static_cast<double>(1.5)), static_cast<double>(13.2821612239764190363647953338544569682942329604483733197131), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.5), static_cast<double>(0.5), static_cast<double>(-1)), static_cast<double>(-1.228014414316220642611298946293865487807), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.5), static_cast<double>(0.5), static_cast<double>(1e+10)), static_cast<double>(1.536591003599172091573590441336982730551e+10), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.75), static_cast<double>(-1e+05), static_cast<double>(10)), static_cast<double>(0.0347926099493147087821620459290460547131012904008557007934290), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), static_cast<double>(-1e+10), static_cast<double>(10)), static_cast<double>(0.000109956202759561502329123384755016959364346382187364656768212), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), static_cast<double>(-1e+10), static_cast<double>(1e+20)), static_cast<double>(1.00000626665567332602765201107198822183913978895904937646809e15), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), static_cast<double>(-1e+10), static_cast<double>(1608)/1024), static_cast<double>(0.0000157080616044072676127333183571107873332593142625043567690379), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.875), 1-static_cast<double>(1) / 1024, static_cast<double>(1e+20)), static_cast<double>(6.43274293944380717581167058274600202023334985100499739678963e21), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.25), static_cast<double>(50), static_cast<double>(0.1)), static_cast<double>(0.124573770342749525407523258569507331686458866564082916835900), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<double>(0.25), static_cast<double>(1.125), static_cast<double>(1)), static_cast<double>(1.77299767784815770192352979665283069318388205110727241629752), eps * 5000);
+
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(1)/1024), static_cast<double>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(0.125)), static_cast<double>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(0.5)), static_cast<double>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(1)), static_cast<double>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(50.5)), static_cast<double>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-1)/1024), static_cast<double>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-0.125)), static_cast<double>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-0.5)), static_cast<double>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-1)), static_cast<double>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<double>(-50.5)), static_cast<double>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(0, static_cast<double>(1)), static_cast<double>(1.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(1)), static_cast<double>(2.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(2)), static_cast<double>(4.L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(10)), static_cast<double>(20), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(100)), static_cast<double>(200), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1, static_cast<double>(1e6)), static_cast<double>(2e6), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(30)), static_cast<double>(5.896624628001300E+17L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(1000)), static_cast<double>(1.023976960161280E+33L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(10)), static_cast<double>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10, static_cast<double>(-10)), static_cast<double>(8.093278209760000E+12L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<double>(-10)), static_cast<double>(-7.880000000000000E+3L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<double>(-1000)), static_cast<double>(-7.999988000000000E+9L), 100 * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3, static_cast<double>(-1000000)), static_cast<double>(-7.999999999988000E+18L), 100 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(0.125)), static_cast<double>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(1023) / static_cast<double>(1024)), static_cast<double>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(1025) / static_cast<double>(1024)), static_cast<double>(1024.5772867695045940578681624248887776501597556226L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(0.5)), static_cast<double>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(1.125)), static_cast<double>(8.5862412945105752999607544082693023591996301183069L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(2)), static_cast<double>(1.6449340668482264364724151666460251892189499012068L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(3.5)), static_cast<double>(1.1267338673170566464278124918549842722219969574036L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(4)), static_cast<double>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(4 + static_cast<double>(1) / 1024), static_cast<double>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(4.5)), static_cast<double>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(6.5)), static_cast<double>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(7.5)), static_cast<double>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(8.125)), static_cast<double>(1.0037305205308161603183307711439385250181080293472L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(16.125)), static_cast<double>(1.0000140128224754088474783648500235958510030511915L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(0)), static_cast<double>(-0.5L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-0.125)), static_cast<double>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-1)), static_cast<double>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-2)), static_cast<double>(0L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-2.5)), static_cast<double>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000 * 3);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-3)), static_cast<double>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-4)), static_cast<double>(0), eps * 5000);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-20)), static_cast<double>(0), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-21)), static_cast<double>(-281.46014492753623188405797101449275362318840579710L), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<double>(-30.125)), static_cast<double>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<double>(0.1433600485324859619140625e-1)), static_cast<double>(0.9999657468461303487880990241993035937654e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0, static_cast<double>(0.1760916970670223236083984375e-1)), static_cast<double>(0.9999483203249623334100130061926184665364e0),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<double>(0.1433600485324859619140625e-1)), static_cast<double>(0.1370120120703995134662099191103188366059e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2, static_cast<double>(0.1760916970670223236083984375e-1)), static_cast<double>(0.2067173265753174063228459655801741280461e-4),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<double>(0.1252804412841796875e3)), static_cast<double>(0.7887555711993028736906736576314283291289e-2),  eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7, static_cast<double>(0.25554705810546875e3)), static_cast<double>(-0.1463292767579579943284849187188066532514e-2),  eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<double>(0.408089816570281982421875e0)), static_cast<double>(-0.2249212131304610409189209411089291558038e1), eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0, static_cast<double>(0.6540834903717041015625e0)), static_cast<double>(-0.1213309779166084571756446746977955970241e1),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<double>(0.408089816570281982421875e0)), static_cast<double>(-0.4541702641837159203058389758895634766256e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2, static_cast<double>(0.6540834903717041015625e0)), static_cast<double>(-0.1156112621471167110574129561700037138981e2),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<double>(0.1097540378570556640625e1)), static_cast<double>(-0.2427889658115064857278886600528596240123e9),   eps * 5000 * 100);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10, static_cast<double>(0.30944411754608154296875e1)), static_cast<double>(-0.3394649246350136450439882104151313759251e4),   eps * 5000 * 100);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(3, 2, static_cast<double>(0.5)), static_cast<double>(0.2061460599687871330692286791802688341213L), eps * 5000);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(40, 15, static_cast<double>(0.75)), static_cast<double>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000);
+#endif
+}
+
+void test_values(long double, const char* name)
+{
+#ifdef TEST_LD
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   std::cout << "Testing type " << name << std::endl;
+
+   long double eps = boost::math::tools::epsilon<long double>();
+   BOOST_CHECK_CLOSE(tr1::acoshl(std::cosh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinhl(std::sinh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanhl(std::tanh(0.5L)), 0.5L, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrtl(1.5L * 1.5L * 1.5L), 1.5L, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysignl(1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysignl(1.0L, -1.0L) == -1.0L);
+   BOOST_CHECK(tr1::copysignl(-1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysignl(-1.0L, -1.0L) == -1.0L);
+
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(0.125)), static_cast<long double>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(0.5)), static_cast<long double>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(1)), static_cast<long double>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(5)), static_cast<long double>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(-0.125)), static_cast<long double>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(-0.5)), static_cast<long double>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfcl(static_cast<long double>(0)), static_cast<long double>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(0.125)), static_cast<long double>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(0.5)), static_cast<long double>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(1)), static_cast<long double>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(5)), static_cast<long double>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(-0.125)), static_cast<long double>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(-0.5)), static_cast<long double>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfl(static_cast<long double>(0)), static_cast<long double>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1pl(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1l(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1pl(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1l(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmaxl(0.1L, -0.1L), 0.1L);
+   BOOST_CHECK_EQUAL(tr1::fminl(0.1L, -0.1L), -0.1L);
+
+   BOOST_CHECK_CLOSE(tr1::hypotl(1.0L, 3.0L), std::sqrt(10.0L), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(3.5)), static_cast<long double>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(0.125)), static_cast<long double>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(-0.125)), static_cast<long double>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(-3.125)), static_cast<long double>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgammal(static_cast<long double>(-53249.0/1024)), static_cast<long double>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(3.5)), static_cast<long double>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(0.125)), static_cast<long double>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(-0.125)), static_cast<long double>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgammal(static_cast<long double>(-3.125)), static_cast<long double>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llroundl(2.5L) == 3LL);
+   BOOST_CHECK(tr1::llroundl(2.25L) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lroundl(2.5L) == 3L);
+   BOOST_CHECK(tr1::lroundl(2.25L) == 2L);
+   BOOST_CHECK(tr1::roundl(2.5L) == 3.0L);
+   BOOST_CHECK(tr1::roundl(2.25L) == 2.0L);
+
+   BOOST_CHECK(tr1::nextafterl(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafterl(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, -2.0L), 2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafterl(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafterl(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafterl(tr1::nextafterl(1.0L, -2.0L), 2.0L) == 1.0L);
+
+   BOOST_CHECK(tr1::truncl(2.5L) == 2.0L);
+   BOOST_CHECK(tr1::truncl(2.25L) == 2.0L);
+
+   //
+   // And again but without the "l" suffix on the function names:
+   //
+   BOOST_CHECK_CLOSE(tr1::acosh(std::cosh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::asinh(std::sinh(0.5L)), 0.5L, 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::atanh(std::tanh(0.5L)), 0.5L, 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::cbrt(1.5L * 1.5L * 1.5L), 1.5L, 5000 * eps);
+
+   BOOST_CHECK(tr1::copysign(1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysign(1.0L, -1.0L) == -1.0L);
+   BOOST_CHECK(tr1::copysign(-1.0L, 1.0L) == 1.0L);
+   BOOST_CHECK(tr1::copysign(-1.0L, -1.0L) == -1.0L);
+
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(0.125)), static_cast<long double>(0.85968379519866618260697055347837660181302041685015L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(0.5)), static_cast<long double>(0.47950012218695346231725334610803547126354842424204L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(1)), static_cast<long double>(0.15729920705028513065877936491739074070393300203370L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(5)), static_cast<long double>(1.5374597944280348501883434853833788901180503147234e-12L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(-0.125)), static_cast<long double>(1.1403162048013338173930294465216233981869795831498L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(-0.5)), static_cast<long double>(1.5204998778130465376827466538919645287364515757580L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erfc(static_cast<long double>(0)), static_cast<long double>(1), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(0.125)), static_cast<long double>(0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(0.5)), static_cast<long double>(0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(1)), static_cast<long double>(0.84270079294971486934122063508260925929606699796630L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(5)), static_cast<long double>(0.9999999999984625402055719651498116565146166211099L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(-0.125)), static_cast<long double>(-0.14031620480133381739302944652162339818697958314985L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(-0.5)), static_cast<long double>(-0.52049987781304653768274665389196452873645157575796L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::erf(static_cast<long double>(0)), static_cast<long double>(0), eps * 1000);
+
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.4587086807259736626531803258754840111707e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<long double>(0.582029759883880615234375e0)), static_cast<long double>(0.7896673415707786528734865994546559029663e0L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::log1p(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2068660038044094868521052319477265955827e-1L), eps * 1000);
+   BOOST_CHECK_CLOSE(tr1::expm1(static_cast<long double>(-0.2047410048544406890869140625e-1)), static_cast<long double>(-0.2026592921724753704129022027337835687888e-1L), eps * 1000);
+
+   BOOST_CHECK_EQUAL(tr1::fmax(0.1L, -0.1L), 0.1L);
+   BOOST_CHECK_EQUAL(tr1::fmin(0.1L, -0.1L), -0.1L);
+
+   BOOST_CHECK_CLOSE(tr1::hypot(1.0L, 3.0L), std::sqrt(10.0L), eps * 500);
+
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(3.5)), static_cast<long double>(1.2009736023470742248160218814507129957702389154682L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(0.125)), static_cast<long double>(2.0194183575537963453202905211670995899482809521344L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(-0.125)), static_cast<long double>(2.1653002489051702517540619481440174064962195287626L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(-3.125)), static_cast<long double>(0.1543111276840418242676072830970532952413339012367L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::lgamma(static_cast<long double>(-53249.0/1024)), static_cast<long double>(-149.43323093420259741100038126078721302600128285894L), 5000 * eps);
+
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(3.5)), static_cast<long double>(3.3233509704478425511840640312646472177454052302295L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(0.125)), static_cast<long double>(7.5339415987976119046992298412151336246104195881491L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(-0.125)), static_cast<long double>(-8.7172188593831756100190140408231437691829605421405L), 5000 * eps);
+   BOOST_CHECK_CLOSE(tr1::tgamma(static_cast<long double>(-3.125)), static_cast<long double>(1.1668538708507675587790157356605097019141636072094L), 5000 * eps);
+
+#ifdef BOOST_HAS_LONG_LONG
+   BOOST_CHECK(tr1::llround(2.5L) == 3LL);
+   BOOST_CHECK(tr1::llround(2.25L) == 2LL);
+#endif
+   BOOST_CHECK(tr1::lround(2.5L) == 3L);
+   BOOST_CHECK(tr1::lround(2.25L) == 2L);
+   BOOST_CHECK(tr1::round(2.5L) == 3.0L);
+   BOOST_CHECK(tr1::round(2.25L) == 2.0L);
+
+   BOOST_CHECK(tr1::nextafter(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafter(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, -2.0L), 2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafter(1.0L, 2.0L) > 1.0L);
+   BOOST_CHECK(tr1::nextafter(1.0L, -2.0L) < 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, 2.0L), -2.0L) == 1.0L);
+   BOOST_CHECK(tr1::nextafter(tr1::nextafter(1.0L, -2.0L), 2.0L) == 1.0L);
+
+   BOOST_CHECK(tr1::trunc(2.5L) == 2.0L);
+   BOOST_CHECK(tr1::trunc(2.25L) == 2.0L);
+
+   //
+   // Now for the TR1 math functions:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(4L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(88.31510416666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 0L, static_cast<long double>(2.5L)), static_cast<long double>(-0.8802526766660982969576719576719576719577L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 1L, static_cast<long double>(4.5L)), static_cast<long double>(1.564311458042689732142857142857142857143L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 6L, static_cast<long double>(8.5L)), static_cast<long double>(20.51596541066649098875661375661375661376L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(10L, 12L, static_cast<long double>(12.5L)), static_cast<long double>(-199.5560968456234671241181657848324514991L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerrel(50L, 40L, static_cast<long double>(12.5L)), static_cast<long double>(-4.996769495006119488583146995907246595400e16L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3307291666666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(7L, static_cast<long double>(0.5L)), static_cast<long double>(-0.5183392237103174603174603174603174603175L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(20L, static_cast<long double>(0.5L)), static_cast<long double>(0.3120174870800154148915399248893113634676L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(50L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3181388060269979064951118308575628226834L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(1L, static_cast<long double>(-0.5L)), static_cast<long double>(1.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(4L, static_cast<long double>(-0.5L)), static_cast<long double>(3.835937500000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(7L, static_cast<long double>(-0.5L)), static_cast<long double>(7.950934709821428571428571428571428571429L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(20L, static_cast<long double>(-0.5L)), static_cast<long double>(76.12915699869631476833699787070874048223L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(50L, static_cast<long double>(-0.5L)), static_cast<long double>(2307.428631277506570629232863491518399720L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(1L, static_cast<long double>(4.5L)), static_cast<long double>(-3.500000000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(4L, static_cast<long double>(4.5L)), static_cast<long double>(0.08593750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(7L, static_cast<long double>(4.5L)), static_cast<long double>(-1.036928013392857142857142857142857142857L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(20L, static_cast<long double>(4.5L)), static_cast<long double>(1.437239150257817378525582974722170737587L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerrel(50L, static_cast<long double>(4.5L)), static_cast<long double>(-0.7795068145562651416494321484050019245248L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(4L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(7L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(4L, 2L, static_cast<long double>(-0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendrel(7L, 5L, static_cast<long double>(-0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.2890625000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(7L, static_cast<long double>(0.5L)), static_cast<long double>(0.2231445312500000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendrel(40L, static_cast<long double>(0.5L)), static_cast<long double>(-0.09542943523261546936538467572384923220258L), eps * 100L);
+
+   long double sv = eps / 1024;
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(1L), static_cast<long double>(1L)), static_cast<long double>(1L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(1L), static_cast<long double>(4L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(4L), static_cast<long double>(1L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(sv, static_cast<long double>(4L)), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(4L), sv), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(4L), static_cast<long double>(20L)), static_cast<long double>(0.00002823263692828910220214568040654997176736L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::betal(static_cast<long double>(0.0125L), static_cast<long double>(0.000023L)), static_cast<long double>(43558.24045647538375006349016083320744662L), eps * 20L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(0.125L)), static_cast<long double>(1.5769867712158131421244030532288080803822271060839L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(0.25L)), static_cast<long double>(1.5962422221317835101489690714979498795055744578951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(300L)/1024L), static_cast<long double>(1.6062331054696636704261124078746600894998873503208L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(400L)/1024L), static_cast<long double>(1.6364782007562008756208066125715722889067992997614L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(-0.5L)), static_cast<long double>(1.6857503548125960428712036577990769895008008941411L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1l(static_cast<long double>(-0.75L)), static_cast<long double>(1.9109897807518291965531482187613425592531451316788L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-1L)), static_cast<long double>(1L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(100L) / 1024L), static_cast<long double>(1.5670445330545086723323795143598956428788609133377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(200L) / 1024L), static_cast<long double>(1.5557071588766556854463404816624361127847775545087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(300L) / 1024L), static_cast<long double>(1.5365278991162754883035625322482669608948678755743L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(400L) / 1024L), static_cast<long double>(1.5090417763083482272165682786143770446401437564021L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-0.5L)), static_cast<long double>(1.4674622093394271554597952669909161360253617523272L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-600L) / 1024L), static_cast<long double>(1.4257538571071297192428217218834579920545946473778L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-800L) / 1024L), static_cast<long double>(1.2927868476159125056958680222998765985004489572909L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2l(static_cast<long double>(-900L) / 1024L), static_cast<long double>(1.1966864890248739524112920627353824133420353430982L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0.2L), static_cast<long double>(0L)), static_cast<long double>(1.586867847454166237308008033828114192951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0.4L), static_cast<long double>(0L)), static_cast<long double>(1.639999865864511206865258329748601457626L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(1.57079632679489661923132169163975144209858469968755291048747L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(2.221441469079183123507940495030346849307L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(0.3L), static_cast<long double>(-4L)), static_cast<long double>(0.712708870925620061597924858162260293305195624270730660081949L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.5L), static_cast<long double>(-1e+05L)), static_cast<long double>(0.00496944596485066055800109163256108604615568144080386919012831L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.75L), static_cast<long double>(-1e+10L)), static_cast<long double>(0.0000157080225184890546939710019277357161497407143903832703317801L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.875L), static_cast<long double>(1L) / 1024L), static_cast<long double>(2.18674503176462374414944618968850352696579451638002110619287L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3l(static_cast<long double>(-0.875L), static_cast<long double>(1023L)/1024L), static_cast<long double>(101.045289804941384100960063898569538919135722087486350366997L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(2.25L), static_cast<long double>(1L)/(1024*1024L)), static_cast<long double>(2.34379212133481347189068464680335815256364262507955635911656e-15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(0.0583514045989371500460946536220735787163510569634133670181210L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-5L) + static_cast<long double>(1L)/1024L, static_cast<long double>(2.125L)), static_cast<long double>(0.0267920938009571023702933210070984416052633027166975342895062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(597.577606961369169607937419869926705730305175364662688426534L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474005665181350367684623930576333542989766867888186478185e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(50L)), static_cast<long double>(1.07153277202900671531087024688681954238311679648319534644743e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694757392660413922181531984160871678224178890247540320L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_il(static_cast<long double>(-144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694672763190927440969155740243346136463461655104698748L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(2457L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(3.80739920118603335646474073457326714709615200130620574875292e-9L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(0.0281933076257506091621579544064767140470089107926550720453038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(-2.55820064470647911823175836997490971806135336759164272675969L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(2.449843111985605522111159013846599118397e-03L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000747424248595630177396350688505919533097973148718960064663632L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.125L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000776600124835704280633640911329691642748783663198207360238214L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(5.875L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000466322721115193071631008581529503095819705088484386434589780L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0358874487875643822020496677692429287863419555699447066226409L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00244984311198560552211115901384659911839737686676766460822577L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(0.000279243200433579511095229508894156656558211060453622750659554L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0708184798097594268482290389188138201440114881159344944791454L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474013160494695750009004222225969090304185981836460288562e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(15L)), static_cast<long double>(-0.0902239288885423309568944543848111461724911781719692852541489L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547064914615137807616774867984047583596945624129838091326863L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00556783614400875611650958980796060611309029233226596737701688L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_jl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547613660316806551338637153942604550779513947674222863858713L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(0.5L), static_cast<long double>(0.875L)), static_cast<long double>(0.558532231646608646115729767013630967055657943463362504577189L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(0.5L), static_cast<long double>(1.125L)), static_cast<long double>(0.383621010650189547146769320487006220295290256657827220786527L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(2.25L), static_cast<long double>(std::ldexp(1.0L, -30L))), static_cast<long double>(5.62397392719283271332307799146649700147907612095185712015604e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(1.30623288775012596319554857587765179889689223531159532808379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(0.0000733045300798502164644836879577484533096239574909573072142667L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(-5.5L), static_cast<long double>(100L)), static_cast<long double>(5.41274555306792267322084448693957747924412508020839543293369e-45L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(10240L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(2.35522579263922076203415803966825431039900000000993410734978e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(10240L)/1024L, static_cast<long double>(10L)), static_cast<long double>(0.00161425530039067002345725193091329085443750382929208307802221L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(144793L)/1024L, static_cast<long double>(100L)), static_cast<long double>(1.39565245860302528069481472855619216759142225046370312329416e-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_kl(static_cast<long double>(144793L)/1024L, static_cast<long double>(200L)), static_cast<long double>(9.11950412043225432171915100042647230802198254567007382956336e-68L), eps * 7000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(0.5L), static_cast<long double>(1L) / (1024*1024L)), static_cast<long double>(-817.033790261762580469303126467917092806755460418223776544122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-2.61489440328417468776474188539366752698192046890955453259866L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-0.0274994493896489729948109971802244976377957234563871795364056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(-0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(-1.50382374389531766117868938966858995093408410498915220070230e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(0.0583041891319026009955779707640455341990844522293730214223545L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-5.38829231428696507293191118661269920130838607482708483122068e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(141.75L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00376577888677186194728129112270988602876597726657372330194186L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumannl(static_cast<long double>(-141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-3.81009803444766877495905954105669819951653361036342457919021e9L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-1.2261911708835170708130609674719067527242483502207L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.875L), static_cast<long double>(-4L)), static_cast<long double>(-5.3190556182262405182189463092940736859067548232647L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(-0.625L), static_cast<long double>(8L)), static_cast<long double>(9.0419973860310100524448893214394562615252527557062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.875L), static_cast<long double>(1e-05L)), static_cast<long double>(0.000010000000000127604166668510945638036143355898993088L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(10L)/1024L, static_cast<long double>(1e+05L)), static_cast<long double>(100002.38431454899771096037307519328741455615271038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(1L), static_cast<long double>(1e-20L)), static_cast<long double>(1.0000000000000000000000000000000000000000166666667e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(1e-20L), static_cast<long double>(1e-20L)), static_cast<long double>(1.000000000000000e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(400L)/1024L, static_cast<long double>(1e+20L)), static_cast<long double>(1.0418143796499216839719289963154558027005142709763e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(2L)), static_cast<long double>(2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(4L)), static_cast<long double>(4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(6L)), static_cast<long double>(6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(10L)), static_cast<long double>(10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-2L)), static_cast<long double>(-2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-4L)), static_cast<long double>(-4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-6L)), static_cast<long double>(-6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1l(static_cast<long double>(0.5L), static_cast<long double>(-10L)), static_cast<long double>(-10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-0.84147098480789650665250232163029899962256306079837L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(900L) / 1024L, static_cast<long double>(-4L)), static_cast<long double>(-3.1756145986492562317862928524528520686391383168377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(-600L) / 1024L, static_cast<long double>(8L)), static_cast<long double>(7.2473147180505693037677015377802777959345489333465L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(800L) / 1024L, static_cast<long double>(1e-05L)), static_cast<long double>(9.999999999898274739584436515967055859383969942432E-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(100L) / 1024L, static_cast<long double>(1e+05L)), static_cast<long double>(99761.153306972066658135668386691227343323331995888L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(-0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(9.3421545766487137036576748555295222252286528414669e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2l(static_cast<long double>(400L) / 1024L, ldexp(static_cast<long double>(1L), 66L)), static_cast<long double>(7.0886102721911705466476846969992069994308167515242e19L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(-1L)), static_cast<long double>(-1.557407724654902230506974807458360173087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.4L), static_cast<long double>(0L), static_cast<long double>(-4L)), static_cast<long double>(-4.153623371196831087495427530365430979011L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(-0.6L), static_cast<long double>(0L), static_cast<long double>(8L)), static_cast<long double>(8.935930619078575123490612395578518914416L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.25L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.501246705365439492445236118603525029757890291780157969500480L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(-2L), static_cast<long double>(0.5L)), static_cast<long double>(0.437501067017546278595664813509803743009132067629603474488486L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.25L), static_cast<long double>(0.5L)), static_cast<long double>(0.510269830229213412212501938035914557628394166585442994564135L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.5L)), static_cast<long double>(0.533293253875952645421201146925578536430596894471541312806165L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.75L)), static_cast<long double>(0.871827580412760575085768367421866079353646112288567703061975L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(0.25L)), static_cast<long double>(0.255341921221036266504482236490473678204201638800822621740476L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(2L), static_cast<long double>(0.25L)), static_cast<long double>(0.261119051639220165094943572468224137699644963125853641716219L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0L), static_cast<long double>(1023L)/1024L, static_cast<long double>(1.5L)), static_cast<long double>(13.2821612239764190363647953338544569682942329604483733197131L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(-1L)), static_cast<long double>(-1.228014414316220642611298946293865487807L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(1.536591003599172091573590441336982730551e+10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.75L), static_cast<long double>(-1e+05L), static_cast<long double>(10L)), static_cast<long double>(0.0347926099493147087821620459290460547131012904008557007934290L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(10L)), static_cast<long double>(0.000109956202759561502329123384755016959364346382187364656768212L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1e+20L)), static_cast<long double>(1.00000626665567332602765201107198822183913978895904937646809e15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1608L)/1024L), static_cast<long double>(0.0000157080616044072676127333183571107873332593142625043567690379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.875L), 1-static_cast<long double>(1L) / 1024L, static_cast<long double>(1e+20L)), static_cast<long double>(6.43274293944380717581167058274600202023334985100499739678963e21L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.25L), static_cast<long double>(50L), static_cast<long double>(0.1L)), static_cast<long double>(0.124573770342749525407523258569507331686458866564082916835900L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3l(static_cast<long double>(0.25L), static_cast<long double>(1.125L), static_cast<long double>(1L)), static_cast<long double>(1.77299767784815770192352979665283069318388205110727241629752L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(1L)/1024L), static_cast<long double>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(0.125L)), static_cast<long double>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(0.5L)), static_cast<long double>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(1L)), static_cast<long double>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(50.5L)), static_cast<long double>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-1L)/1024L), static_cast<long double>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-0.125L)), static_cast<long double>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-0.5L)), static_cast<long double>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-1L)), static_cast<long double>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expintl(static_cast<long double>(-50.5L)), static_cast<long double>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(0L, static_cast<long double>(1L)), static_cast<long double>(1.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(1L)), static_cast<long double>(2.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(2L)), static_cast<long double>(4.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(10L)), static_cast<long double>(20L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(100L)), static_cast<long double>(200L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(1L, static_cast<long double>(1e6L)), static_cast<long double>(2e6L), 100L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(30L)), static_cast<long double>(5.896624628001300E+17L), 1000L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(1000L)), static_cast<long double>(1.023976960161280E+33L), 1000L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(10L, static_cast<long double>(-10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(3L, static_cast<long double>(-10L)), static_cast<long double>(-7.880000000000000E+3L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(3L, static_cast<long double>(-1000L)), static_cast<long double>(-7.999988000000000E+9L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermitel(3L, static_cast<long double>(-1000000L)), static_cast<long double>(-7.999999999988000E+18L), 100L * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(0.125L)), static_cast<long double>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(1023L) / static_cast<long double>(1024L)), static_cast<long double>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(1025L) / static_cast<long double>(1024L)), static_cast<long double>(1024.5772867695045940578681624248887776501597556226L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(0.5L)), static_cast<long double>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(1.125L)), static_cast<long double>(8.5862412945105752999607544082693023591996301183069L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(2L)), static_cast<long double>(1.6449340668482264364724151666460251892189499012068L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(3.5L)), static_cast<long double>(1.1267338673170566464278124918549842722219969574036L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(4L)), static_cast<long double>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(4L + static_cast<long double>(1L) / 1024L), static_cast<long double>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(4.5L)), static_cast<long double>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(6.5L)), static_cast<long double>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(7.5L)), static_cast<long double>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(8.125L)), static_cast<long double>(1.0037305205308161603183307711439385250181080293472L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(16.125L)), static_cast<long double>(1.0000140128224754088474783648500235958510030511915L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(0L)), static_cast<long double>(-0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-0.125L)), static_cast<long double>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-1L)), static_cast<long double>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-2L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-2.5L)), static_cast<long double>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000L * 3L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-3L)), static_cast<long double>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-4L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-20L)), static_cast<long double>(0L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-21L)), static_cast<long double>(-281.46014492753623188405797101449275362318840579710L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zetal(static_cast<long double>(-30.125L)), static_cast<long double>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(0L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.9999657468461303487880990241993035937654e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(0L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.9999483203249623334100130061926184665364e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(2L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.1370120120703995134662099191103188366059e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(2L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.2067173265753174063228459655801741280461e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(7L, static_cast<long double>(0.1252804412841796875e3L)), static_cast<long double>(0.7887555711993028736906736576314283291289e-2L),  eps * 50000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessell(7L, static_cast<long double>(0.25554705810546875e3L)), static_cast<long double>(-0.1463292767579579943284849187188066532514e-2L),  eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(0L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.2249212131304610409189209411089291558038e1L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(0L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1213309779166084571756446746977955970241e1L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(2L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.4541702641837159203058389758895634766256e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(2L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1156112621471167110574129561700037138981e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(10L, static_cast<long double>(0.1097540378570556640625e1L)), static_cast<long double>(-0.2427889658115064857278886600528596240123e9L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumannl(10L, static_cast<long double>(0.30944411754608154296875e1L)), static_cast<long double>(-0.3394649246350136450439882104151313759251e4L),   eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendrel(3L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(0.2061460599687871330692286791802688341213L), eps * 5000L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendrel(40L, 15L, static_cast<long double>(0.75L)), static_cast<long double>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000L);
+
+   //
+   // Now all over again but without the "f" suffix on the function names this time:
+   //
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(4L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(88.31510416666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 0L, static_cast<long double>(2.5L)), static_cast<long double>(-0.8802526766660982969576719576719576719577L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 1L, static_cast<long double>(4.5L)), static_cast<long double>(1.564311458042689732142857142857142857143L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 6L, static_cast<long double>(8.5L)), static_cast<long double>(20.51596541066649098875661375661375661376L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(10L, 12L, static_cast<long double>(12.5L)), static_cast<long double>(-199.5560968456234671241181657848324514991L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_laguerre(50L, 40L, static_cast<long double>(12.5L)), static_cast<long double>(-4.996769495006119488583146995907246595400e16L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3307291666666666666666666666666666666667L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7L, static_cast<long double>(0.5L)), static_cast<long double>(-0.5183392237103174603174603174603174603175L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20L, static_cast<long double>(0.5L)), static_cast<long double>(0.3120174870800154148915399248893113634676L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50L, static_cast<long double>(0.5L)), static_cast<long double>(-0.3181388060269979064951118308575628226834L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1L, static_cast<long double>(-0.5L)), static_cast<long double>(1.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4L, static_cast<long double>(-0.5L)), static_cast<long double>(3.835937500000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7L, static_cast<long double>(-0.5L)), static_cast<long double>(7.950934709821428571428571428571428571429L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20L, static_cast<long double>(-0.5L)), static_cast<long double>(76.12915699869631476833699787070874048223L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50L, static_cast<long double>(-0.5L)), static_cast<long double>(2307.428631277506570629232863491518399720L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(1L, static_cast<long double>(4.5L)), static_cast<long double>(-3.500000000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(4L, static_cast<long double>(4.5L)), static_cast<long double>(0.08593750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(7L, static_cast<long double>(4.5L)), static_cast<long double>(-1.036928013392857142857142857142857142857L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(20L, static_cast<long double>(4.5L)), static_cast<long double>(1.437239150257817378525582974722170737587L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::laguerre(50L, static_cast<long double>(4.5L)), static_cast<long double>(-0.7795068145562651416494321484050019245248L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7L, 5L, static_cast<long double>(0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(4L, 2L, static_cast<long double>(-0.5L)), static_cast<long double>(4.218750000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::assoc_legendre(7L, 5L, static_cast<long double>(-0.5L)), static_cast<long double>(5696.789530152175143607977274672800795328L), eps * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(1L, static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(4L, static_cast<long double>(0.5L)), static_cast<long double>(-0.2890625000000000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(7L, static_cast<long double>(0.5L)), static_cast<long double>(0.2231445312500000000000000000000000000000L), eps * 100L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::legendre(40L, static_cast<long double>(0.5L)), static_cast<long double>(-0.09542943523261546936538467572384923220258L), eps * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(1L), static_cast<long double>(1L)), static_cast<long double>(1L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(1L), static_cast<long double>(4L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(4L), static_cast<long double>(1L)), static_cast<long double>(0.25L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(sv, static_cast<long double>(4L)), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(4L), sv), 1/sv, eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(4L), static_cast<long double>(20L)), static_cast<long double>(0.00002823263692828910220214568040654997176736L), eps * 20L * 100L);
+   BOOST_CHECK_CLOSE(tr1::beta(static_cast<long double>(0.0125L), static_cast<long double>(0.000023L)), static_cast<long double>(43558.24045647538375006349016083320744662L), eps * 20L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(0.125L)), static_cast<long double>(1.5769867712158131421244030532288080803822271060839L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(0.25L)), static_cast<long double>(1.5962422221317835101489690714979498795055744578951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(300L)/1024L), static_cast<long double>(1.6062331054696636704261124078746600894998873503208L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(400L)/1024L), static_cast<long double>(1.6364782007562008756208066125715722889067992997614L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(-0.5L)), static_cast<long double>(1.6857503548125960428712036577990769895008008941411L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_1(static_cast<long double>(-0.75L)), static_cast<long double>(1.9109897807518291965531482187613425592531451316788L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-1L)), static_cast<long double>(1L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(0L)), static_cast<long double>(1.5707963267948966192313216916397514420985846996876L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(100L) / 1024L), static_cast<long double>(1.5670445330545086723323795143598956428788609133377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(200L) / 1024L), static_cast<long double>(1.5557071588766556854463404816624361127847775545087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(300L) / 1024L), static_cast<long double>(1.5365278991162754883035625322482669608948678755743L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(400L) / 1024L), static_cast<long double>(1.5090417763083482272165682786143770446401437564021L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-0.5L)), static_cast<long double>(1.4674622093394271554597952669909161360253617523272L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-600L) / 1024L), static_cast<long double>(1.4257538571071297192428217218834579920545946473778L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-800L) / 1024L), static_cast<long double>(1.2927868476159125056958680222998765985004489572909L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_2(static_cast<long double>(-900L) / 1024L), static_cast<long double>(1.1966864890248739524112920627353824133420353430982L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0.2L), static_cast<long double>(0L)), static_cast<long double>(1.586867847454166237308008033828114192951L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0.4L), static_cast<long double>(0L)), static_cast<long double>(1.639999865864511206865258329748601457626L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(1.57079632679489661923132169163975144209858469968755291048747L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(2.221441469079183123507940495030346849307L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(0.3L), static_cast<long double>(-4L)), static_cast<long double>(0.712708870925620061597924858162260293305195624270730660081949L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.5L), static_cast<long double>(-1e+05L)), static_cast<long double>(0.00496944596485066055800109163256108604615568144080386919012831L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.75L), static_cast<long double>(-1e+10L)), static_cast<long double>(0.0000157080225184890546939710019277357161497407143903832703317801L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.875L), static_cast<long double>(1L) / 1024L), static_cast<long double>(2.18674503176462374414944618968850352696579451638002110619287L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::comp_ellint_3(static_cast<long double>(-0.875L), static_cast<long double>(1023L)/1024L), static_cast<long double>(101.045289804941384100960063898569538919135722087486350366997L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(2.25L), static_cast<long double>(1L)/(1024*1024L)), static_cast<long double>(2.34379212133481347189068464680335815256364262507955635911656e-15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(0.0583514045989371500460946536220735787163510569634133670181210L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-5L) + static_cast<long double>(1L)/1024L, static_cast<long double>(2.125L)), static_cast<long double>(0.0267920938009571023702933210070984416052633027166975342895062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(597.577606961369169607937419869926705730305175364662688426534L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474005665181350367684623930576333542989766867888186478185e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-10486074L)/(1024*1024L), static_cast<long double>(50L)), static_cast<long double>(1.07153277202900671531087024688681954238311679648319534644743e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694757392660413922181531984160871678224178890247540320L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_i(static_cast<long double>(-144794L)/1024L, static_cast<long double>(100L)), static_cast<long double>(2066.27694672763190927440969155740243346136463461655104698748L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(2457L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(3.80739920118603335646474073457326714709615200130620574875292e-9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(0.0281933076257506091621579544064767140470089107926550720453038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(-2.55820064470647911823175836997490971806135336759164272675969L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(2.449843111985605522111159013846599118397e-03L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000747424248595630177396350688505919533097973148718960064663632L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.125L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000776600124835704280633640911329691642748783663198207360238214L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(5.875L), static_cast<long double>(1e+06L)), static_cast<long double>(-0.000466322721115193071631008581529503095819705088484386434589780L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0358874487875643822020496677692429287863419555699447066226409L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(0.00244984311198560552211115901384659911839737686676766460822577L), eps * 50000L);
+   //BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-5.5L), static_cast<long double>(1e+06L)), static_cast<long double>(0.000279243200433579511095229508894156656558211060453622750659554L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-0.5L), static_cast<long double>(101L)), static_cast<long double>(0.0708184798097594268482290389188138201440114881159344944791454L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(1.41474013160494695750009004222225969090304185981836460288562e35L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(15L)), static_cast<long double>(-0.0902239288885423309568944543848111461724911781719692852541489L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547064914615137807616774867984047583596945624129838091326863L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(10486074L) / (1024*1024L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00556783614400875611650958980796060611309029233226596737701688L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_j(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(-0.0547613660316806551338637153942604550779513947674222863858713L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(0.5L), static_cast<long double>(0.875L)), static_cast<long double>(0.558532231646608646115729767013630967055657943463362504577189L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(0.5L), static_cast<long double>(1.125L)), static_cast<long double>(0.383621010650189547146769320487006220295290256657827220786527L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(2.25L), static_cast<long double>(std::ldexp(1.0L, -30L))), static_cast<long double>(5.62397392719283271332307799146649700147907612095185712015604e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(5.5L), static_cast<long double>(3217L)/1024L), static_cast<long double>(1.30623288775012596319554857587765179889689223531159532808379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(-5.5L), static_cast<long double>(10L)), static_cast<long double>(0.0000733045300798502164644836879577484533096239574909573072142667L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(-5.5L), static_cast<long double>(100L)), static_cast<long double>(5.41274555306792267322084448693957747924412508020839543293369e-45L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(10240L)/1024L, static_cast<long double>(1L)/1024L), static_cast<long double>(2.35522579263922076203415803966825431039900000000993410734978e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(10240L)/1024L, static_cast<long double>(10L)), static_cast<long double>(0.00161425530039067002345725193091329085443750382929208307802221L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(144793L)/1024L, static_cast<long double>(100L)), static_cast<long double>(1.39565245860302528069481472855619216759142225046370312329416e-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_bessel_k(static_cast<long double>(144793L)/1024L, static_cast<long double>(200L)), static_cast<long double>(9.11950412043225432171915100042647230802198254567007382956336e-68L), eps * 7000L);
+
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(0.5L), static_cast<long double>(1L) / (1024*1024L)), static_cast<long double>(-817.033790261762580469303126467917092806755460418223776544122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-2.61489440328417468776474188539366752698192046890955453259866L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-5.5L), static_cast<long double>(3.125L)), static_cast<long double>(-0.0274994493896489729948109971802244976377957234563871795364056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-5.5L), static_cast<long double>(1e+04L)), static_cast<long double>(-0.00759343502722670361395585198154817047185480147294665270646578L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1L)/1024L), static_cast<long double>(-1.50382374389531766117868938966858995093408410498915220070230e38L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-10486074L) / (1024*1024L), static_cast<long double>(1e+02L)), static_cast<long double>(0.0583041891319026009955779707640455341990844522293730214223545L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-5.38829231428696507293191118661269920130838607482708483122068e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(141.75L), static_cast<long double>(2e+04L)), static_cast<long double>(-0.00376577888677186194728129112270988602876597726657372330194186L), eps * 50000L);
+   BOOST_CHECK_CLOSE(tr1::cyl_neumann(static_cast<long double>(-141.75L), static_cast<long double>(1e+02L)), static_cast<long double>(-3.81009803444766877495905954105669819951653361036342457919021e9L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-1.2261911708835170708130609674719067527242483502207L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.875L), static_cast<long double>(-4L)), static_cast<long double>(-5.3190556182262405182189463092940736859067548232647L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(-0.625L), static_cast<long double>(8L)), static_cast<long double>(9.0419973860310100524448893214394562615252527557062L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.875L), static_cast<long double>(1e-05L)), static_cast<long double>(0.000010000000000127604166668510945638036143355898993088L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(10L)/1024L, static_cast<long double>(1e+05L)), static_cast<long double>(100002.38431454899771096037307519328741455615271038L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(1L), static_cast<long double>(1e-20L)), static_cast<long double>(1.0000000000000000000000000000000000000000166666667e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(1e-20L), static_cast<long double>(1e-20L)), static_cast<long double>(1.000000000000000e-20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(400L)/1024L, static_cast<long double>(1e+20L)), static_cast<long double>(1.0418143796499216839719289963154558027005142709763e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(2L)), static_cast<long double>(2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(4L)), static_cast<long double>(4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(6L)), static_cast<long double>(6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(10L)), static_cast<long double>(10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-2L)), static_cast<long double>(-2.1765877052210673672479877957388515321497888026770L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-4L)), static_cast<long double>(-4.2543274975235836861894752787874633017836785640477L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-6L)), static_cast<long double>(-6.4588766202317746302999080620490579800463614807916L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_1(static_cast<long double>(0.5L), static_cast<long double>(-10L)), static_cast<long double>(-10.697409951222544858346795279378531495869386960090L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(0L), static_cast<long double>(0L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(0L), static_cast<long double>(-10L)), static_cast<long double>(-10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(-1L), static_cast<long double>(-1L)), static_cast<long double>(-0.84147098480789650665250232163029899962256306079837L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(900L) / 1024L, static_cast<long double>(-4L)), static_cast<long double>(-3.1756145986492562317862928524528520686391383168377L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(-600L) / 1024L, static_cast<long double>(8L)), static_cast<long double>(7.2473147180505693037677015377802777959345489333465L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(800L) / 1024L, static_cast<long double>(1e-05L)), static_cast<long double>(9.999999999898274739584436515967055859383969942432E-6L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(100L) / 1024L, static_cast<long double>(1e+05L)), static_cast<long double>(99761.153306972066658135668386691227343323331995888L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(-0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(9.3421545766487137036576748555295222252286528414669e9L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_2(static_cast<long double>(400L) / 1024L, ldexp(static_cast<long double>(1L), 66L)), static_cast<long double>(7.0886102721911705466476846969992069994308167515242e19L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(-1L)), static_cast<long double>(-1.557407724654902230506974807458360173087L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.4L), static_cast<long double>(0L), static_cast<long double>(-4L)), static_cast<long double>(-4.153623371196831087495427530365430979011L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(-0.6L), static_cast<long double>(0L), static_cast<long double>(8L)), static_cast<long double>(8.935930619078575123490612395578518914416L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.25L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.501246705365439492445236118603525029757890291780157969500480L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0L), static_cast<long double>(0.5L)), static_cast<long double>(0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(-2L), static_cast<long double>(0.5L)), static_cast<long double>(0.437501067017546278595664813509803743009132067629603474488486L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0.25L), static_cast<long double>(0.5L)), static_cast<long double>(0.510269830229213412212501938035914557628394166585442994564135L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.5L)), static_cast<long double>(0.533293253875952645421201146925578536430596894471541312806165L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(0.75L), static_cast<long double>(0.75L)), static_cast<long double>(0.871827580412760575085768367421866079353646112288567703061975L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(1L), static_cast<long double>(0.25L)), static_cast<long double>(0.255341921221036266504482236490473678204201638800822621740476L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(2L), static_cast<long double>(0.25L)), static_cast<long double>(0.261119051639220165094943572468224137699644963125853641716219L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0L), static_cast<long double>(1023L)/1024L, static_cast<long double>(1.5L)), static_cast<long double>(13.2821612239764190363647953338544569682942329604483733197131L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(-1L)), static_cast<long double>(-1.228014414316220642611298946293865487807L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.5L), static_cast<long double>(0.5L), static_cast<long double>(1e+10L)), static_cast<long double>(1.536591003599172091573590441336982730551e+10L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.75L), static_cast<long double>(-1e+05L), static_cast<long double>(10L)), static_cast<long double>(0.0347926099493147087821620459290460547131012904008557007934290L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(10L)), static_cast<long double>(0.000109956202759561502329123384755016959364346382187364656768212L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1e+20L)), static_cast<long double>(1.00000626665567332602765201107198822183913978895904937646809e15L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), static_cast<long double>(-1e+10L), static_cast<long double>(1608L)/1024L), static_cast<long double>(0.0000157080616044072676127333183571107873332593142625043567690379L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.875L), 1-static_cast<long double>(1L) / 1024L, static_cast<long double>(1e+20L)), static_cast<long double>(6.43274293944380717581167058274600202023334985100499739678963e21L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.25L), static_cast<long double>(50L), static_cast<long double>(0.1L)), static_cast<long double>(0.124573770342749525407523258569507331686458866564082916835900L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::ellint_3(static_cast<long double>(0.25L), static_cast<long double>(1.125L), static_cast<long double>(1L)), static_cast<long double>(1.77299767784815770192352979665283069318388205110727241629752L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(1L)/1024L), static_cast<long double>(-6.35327933972759151358547423727042905862963067106751711596065L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(0.125L)), static_cast<long double>(-1.37320852494298333781545045921206470808223543321810480716122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(0.5L)), static_cast<long double>(0.454219904863173579920523812662802365281405554352642045162818L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(1L)), static_cast<long double>(1.89511781635593675546652093433163426901706058173270759164623L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(50.5L)), static_cast<long double>(1.72763195602911805201155668940185673806099654090456049881069e20L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-1L)/1024L), static_cast<long double>(-6.35523246483107180261445551935803221293763008553775821607264L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-0.125L)), static_cast<long double>(-1.62342564058416879145630692462440887363310605737209536579267L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-0.5L)), static_cast<long double>(-0.559773594776160811746795939315085235226846890316353515248293L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-1L)), static_cast<long double>(-0.219383934395520273677163775460121649031047293406908207577979L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::expint(static_cast<long double>(-50.5L)), static_cast<long double>(-2.27237132932219350440719707268817831250090574830769670186618e-24L), eps * 5000L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(0L, static_cast<long double>(1L)), static_cast<long double>(1.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(1L)), static_cast<long double>(2.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(2L)), static_cast<long double>(4.L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(10L)), static_cast<long double>(20L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(100L)), static_cast<long double>(200L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(1L, static_cast<long double>(1e6L)), static_cast<long double>(2e6L), 100L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(30L)), static_cast<long double>(5.896624628001300E+17L), 100L * eps);
+   //BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(1000L)), static_cast<long double>(1.023976960161280E+33L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(10L, static_cast<long double>(-10L)), static_cast<long double>(8.093278209760000E+12L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3L, static_cast<long double>(-10L)), static_cast<long double>(-7.880000000000000E+3L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3L, static_cast<long double>(-1000L)), static_cast<long double>(-7.999988000000000E+9L), 100L * eps);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::hermite(3L, static_cast<long double>(-1000000L)), static_cast<long double>(-7.999999999988000E+18L), 100L * eps);
+
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(0.125L)), static_cast<long double>(-0.63277562349869525529352526763564627152686379131122L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(1023L) / static_cast<long double>(1024L)), static_cast<long double>(-1023.4228554489429786541032870895167448906103303056L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(1025L) / static_cast<long double>(1024L)), static_cast<long double>(1024.5772867695045940578681624248887776501597556226L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(0.5L)), static_cast<long double>(-1.46035450880958681288949915251529801246722933101258149054289L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(1.125L)), static_cast<long double>(8.5862412945105752999607544082693023591996301183069L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(2L)), static_cast<long double>(1.6449340668482264364724151666460251892189499012068L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(3.5L)), static_cast<long double>(1.1267338673170566464278124918549842722219969574036L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(4L)), static_cast<long double>(1.08232323371113819151600369654116790277475095191872690768298L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(4L + static_cast<long double>(1L) / 1024L), static_cast<long double>(1.08225596856391369799036835439238249195298434901488518878804L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(4.5L)), static_cast<long double>(1.05470751076145426402296728896028011727249383295625173068468L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(6.5L)), static_cast<long double>(1.01200589988852479610078491680478352908773213619144808841031L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(7.5L)), static_cast<long double>(1.00582672753652280770224164440459408011782510096320822989663L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(8.125L)), static_cast<long double>(1.0037305205308161603183307711439385250181080293472L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(16.125L)), static_cast<long double>(1.0000140128224754088474783648500235958510030511915L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(0L)), static_cast<long double>(-0.5L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-0.125L)), static_cast<long double>(-0.39906966894504503550986928301421235400280637468895L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-1L)), static_cast<long double>(-0.083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-2L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-2.5L)), static_cast<long double>(0.0085169287778503305423585670283444869362759902200745L), eps * 5000L * 3L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-3L)), static_cast<long double>(0.0083333333333333333333333333333333333333333333333333L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-4L)), static_cast<long double>(0L), eps * 5000L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-20L)), static_cast<long double>(0L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-21L)), static_cast<long double>(-281.46014492753623188405797101449275362318840579710L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::riemann_zeta(static_cast<long double>(-30.125L)), static_cast<long double>(2.2762941726834511267740045451463455513839970804578e7L), eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.9999657468461303487880990241993035937654e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(0L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.9999483203249623334100130061926184665364e0L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2L, static_cast<long double>(0.1433600485324859619140625e-1L)), static_cast<long double>(0.1370120120703995134662099191103188366059e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(2L, static_cast<long double>(0.1760916970670223236083984375e-1L)), static_cast<long double>(0.2067173265753174063228459655801741280461e-4L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7L, static_cast<long double>(0.1252804412841796875e3L)), static_cast<long double>(0.7887555711993028736906736576314283291289e-2L),  eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_bessel(7L, static_cast<long double>(0.25554705810546875e3L)), static_cast<long double>(-0.1463292767579579943284849187188066532514e-2L),  eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.2249212131304610409189209411089291558038e1L), eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(0L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1213309779166084571756446746977955970241e1L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2L, static_cast<long double>(0.408089816570281982421875e0L)), static_cast<long double>(-0.4541702641837159203058389758895634766256e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(2L, static_cast<long double>(0.6540834903717041015625e0L)), static_cast<long double>(-0.1156112621471167110574129561700037138981e2L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10L, static_cast<long double>(0.1097540378570556640625e1L)), static_cast<long double>(-0.2427889658115064857278886600528596240123e9L),   eps * 5000L * 100L);
+   BOOST_CHECK_CLOSE(tr1::sph_neumann(10L, static_cast<long double>(0.30944411754608154296875e1L)), static_cast<long double>(-0.3394649246350136450439882104151313759251e4L),   eps * 5000L * 100L);
+
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(3L, 2L, static_cast<long double>(0.5L)), static_cast<long double>(0.2061460599687871330692286791802688341213L), eps * 5000L);
+   BOOST_CHECK_CLOSE_FRACTION(tr1::sph_legendre(40L, 15L, static_cast<long double>(0.75L)), static_cast<long double>(-0.406036847302819452666908966769096223205057182668333862900509L), eps * 5000L);
+#endif
+#endif
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+#ifndef TEST_LD
+   test_values(1.0f, "float");
+   test_values(1.0, "double");
+#else
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_values(1.0L, "long double");
+#endif
+#endif
+   
+}
+
diff --git a/src/boost/libs/math/test/test_trapezoidal.cpp b/src/boost/libs/math/test/test_trapezoidal.cpp
new file mode 100644
index 000000000..c99d9208e
--- /dev/null
+++ b/src/boost/libs/math/test/test_trapezoidal.cpp
@@ -0,0 +1,295 @@
+/*
+ * Copyright Nick Thompson, 2017
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+#define BOOST_TEST_MODULE trapezoidal_quadrature
+
+#include <complex>
+#include <boost/config.hpp>
+//#include <boost/multiprecision/mpc.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/bessel.hpp>
+#include <boost/math/quadrature/trapezoidal.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_dec_float.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/complex128.hpp>
+#endif
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_bin_float_100;
+using boost::math::quadrature::trapezoidal;
+
+// These tests come from:
+// https://doi.org/10.1023/A:1025524324969
+// "Computing special functions by using quadrature rules",  Gil, Segura, and Temme.
+template<class Complex>
+void test_complex_bessel()
+{
+    std::cout << "Testing that complex-valued integrands are integrated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Complex>().pretty_name()  << "\n";
+    typedef typename Complex::value_type Real;
+    Complex z{2, 3};
+    int n = 2;
+    using boost::math::constants::pi;
+    auto bessel_integrand = [&n, &z](Real theta)->Complex
+    {
+        using std::cos;
+        using std::sin;
+        Real t1 = sin(theta);
+        Real t2 = - n*theta;
+        Complex arg = z*t1 + t2;
+        return cos(arg)/pi<Real>();
+    };
+
+    using boost::math::quadrature::trapezoidal;
+
+    Real a = 0;
+    Real b = pi<Real>();
+    Complex Jnz = trapezoidal<decltype(bessel_integrand), Real>(bessel_integrand, a, b);
+    // N[BesselJ[2, 2 + 3 I], 143]
+    // 1.257674591970511077630764085052638490387449039392695959943027966195657681586539389134094087028482099931927725892... +
+    // 2.318771368505683055818032722011594415038779144567369903204833213112457210243098545874099591376455981793627257060... i
+    Real Jnzx = boost::lexical_cast<Real>("1.257674591970511077630764085052638490387449039392695959943027966195657681586539389134094087028482099931927725892");
+    Real Jnzy = boost::lexical_cast<Real>("2.318771368505683055818032722011594415038779144567369903204833213112457210243098545874099591376455981793627257060");
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_CLOSE_FRACTION(Jnz.real(), Jnzx, tol);
+    BOOST_CHECK_CLOSE_FRACTION(Jnz.imag(), Jnzy, tol);
+}
+
+template<class Complex>
+void test_I0_complex()
+{
+    std::cout << "Testing that complex-argument I0 is calculated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Complex>().pretty_name()  << "\n";
+    typedef typename Complex::value_type Real;
+    Complex z{2, 3};
+    using boost::math::constants::pi;
+    auto I0 = [&z](Real theta)->Complex
+    {
+        using std::cos;
+        using std::exp;
+        return exp(z*cos(theta))/pi<Real>();
+    };
+
+    using boost::math::quadrature::trapezoidal;
+
+    Real a = 0;
+    Real b = pi<Real>();
+    Complex I0z = trapezoidal<decltype(I0), Real>(I0, a, b);
+    // N[BesselI[0, 2 + 3 I], 143]
+    // -1.24923487960742219637619681391438589436703710701063561548156438052154090067526565701278826317992172207565649925713468090525951417141982808439560899101
+    // 0.947983792057734776114060623981442199525094227418764823692296622398838765371662384207319492908490909109393495109183270208372778907692930675595924819922 i
+    Real I0zx = boost::lexical_cast<Real>("-1.24923487960742219637619681391438589436703710701063561548156438052154090067526565701278826317992172207565649925713468090525951417141982808439560899101");
+    Real I0zy = boost::lexical_cast<Real>("0.947983792057734776114060623981442199525094227418764823692296622398838765371662384207319492908490909109393495109183270208372778907692930675595924819922");
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_CLOSE_FRACTION(I0z.real(), I0zx, tol);
+    BOOST_CHECK_CLOSE_FRACTION(I0z.imag(), I0zy, tol);
+}
+
+
+template<class Complex>
+void test_erfc()
+{
+    std::cout << "Testing that complex-argument erfc is calculated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Complex>().pretty_name()  << "\n";
+    typedef typename Complex::value_type Real;
+    Complex z{2, -1};
+    using boost::math::constants::pi;
+    using boost::math::constants::two_pi;
+    auto erfc = [&z](Real theta)->Complex
+    {
+        using std::exp;
+        using std::tan;
+        Real t = tan(theta/2);
+        Complex arg = -z*z*(1+t*t);
+        return exp(arg)/two_pi<Real>();
+    };
+
+    using boost::math::quadrature::trapezoidal;
+
+    Real a = -pi<Real>();
+    Real b = pi<Real>();
+    Complex erfcz = trapezoidal<decltype(erfc), Real>(erfc, a, b, boost::math::tools::root_epsilon<Real>(), 17);
+    // N[Erfc[2-i], 150]
+    //-0.00360634272565175091291182820541914235532928536595056623793472801084629874817202107825472707423984408881473019087931573313969503235634965264302640170177
+    // - 0.0112590060288150250764009156316482248536651598819882163212627394923365188251633729432967232423246312345152595958230197778555210858871376231770868078020 i
+    Real erfczx = boost::lexical_cast<Real>("-0.00360634272565175091291182820541914235532928536595056623793472801084629874817202107825472707423984408881473019087931573313969503235634965264302640170177");
+    Real erfczy = boost::lexical_cast<Real>("-0.0112590060288150250764009156316482248536651598819882163212627394923365188251633729432967232423246312345152595958230197778555210858871376231770868078020");
+    Real tol = 5000*std::numeric_limits<Real>::epsilon();
+    BOOST_CHECK_CLOSE_FRACTION(erfcz.real(), erfczx, tol);
+    BOOST_CHECK_CLOSE_FRACTION(erfcz.imag(), erfczy, tol);
+}
+
+
+template<class Real>
+void test_constant()
+{
+    std::cout << "Testing constants are integrated correctly by the adaptive trapezoidal routine on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+
+    auto f = [](Real)->Real { return boost::math::constants::half<Real>(); };
+    Real Q = trapezoidal<decltype(f), Real>(f, (Real) 0.0, (Real) 10.0);
+    BOOST_CHECK_CLOSE(Q, 5.0, 100*std::numeric_limits<Real>::epsilon());
+    Q = trapezoidal<decltype(f), Real>(f, (Real) 10.0, (Real) 0.0);
+    BOOST_CHECK_CLOSE(Q, -5.0, 100*std::numeric_limits<Real>::epsilon());
+
+    Q = trapezoidal<decltype(f), Real>(f, (Real) 10.0, (Real) 10.0);
+    BOOST_CHECK_CLOSE(Q, Real(0), 100*std::numeric_limits<Real>::epsilon());
+}
+
+
+template<class Real>
+void test_rational_periodic()
+{
+    using boost::math::constants::two_pi;
+    using boost::math::constants::third;
+    std::cout << "Testing that rational periodic functions are integrated correctly by trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    auto f = [](Real x)->Real { return 1/(5 - 4*cos(x)); };
+
+    Real tol = 100*boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) 0.0, two_pi<Real>(), tol);
+
+    BOOST_CHECK_CLOSE_FRACTION(Q, two_pi<Real>()*third<Real>(), 10*tol);
+}
+
+template<class Real>
+void test_bump_function()
+{
+    std::cout << "Testing that bump functions are integrated correctly by trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto f = [](Real x)->Real {
+        if( x>= 1 || x <= -1)
+        {
+            return (Real) 0;
+        }
+        return (Real) exp(-(Real) 1/(1-x*x));
+    };
+    Real tol = boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) -1, (Real) 1, tol);
+    // 2*NIntegrate[Exp[-(1/(1 - x^2))], {x, 0, 1}, WorkingPrecision -> 210]
+    Real Q_exp = boost::lexical_cast<Real>("0.44399381616807943782304892117055266376120178904569749730748455394704");
+    BOOST_CHECK_CLOSE_FRACTION(Q, Q_exp, 30*tol);
+}
+
+template<class Real>
+void test_zero_function()
+{
+    std::cout << "Testing that zero functions are integrated correctly by trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto f = [](Real)->Real { return (Real) 0;};
+    Real tol = 100* boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) -1, (Real) 1, tol);
+    BOOST_CHECK_SMALL(Q, 100*tol);
+}
+
+template<class Real>
+void test_sinsq()
+{
+    std::cout << "Testing that sin(x)^2 is integrated correctly by the trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    auto f = [](Real x)->Real { return sin(10*x)*sin(10*x); };
+    Real tol = 100* boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) 0, (Real) boost::math::constants::pi<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::half_pi<Real>(), tol);
+
+}
+
+template<class Real>
+void test_slowly_converging()
+{
+    using std::sqrt;
+    std::cout << "Testing that non-periodic functions are correctly integrated by the trapezoidal rule, even if slowly, on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    // This function is not periodic, so it should not be fast to converge:
+    auto f = [](Real x)->Real { using std::sqrt;  return sqrt(1 - x*x); };
+
+    Real tol = sqrt(sqrt(boost::math::tools::epsilon<Real>()));
+    Real error_estimate;
+    Real Q = trapezoidal(f, (Real) 0, (Real) 1, tol, 15, &error_estimate);
+    BOOST_CHECK_CLOSE_FRACTION(Q, boost::math::constants::half_pi<Real>()/2, 10*tol);
+}
+
+template<class Real>
+void test_rational_sin()
+{
+    using std::pow;
+    using std::sin;
+    using boost::math::constants::two_pi;
+    using boost::math::constants::half;
+    std::cout << "Testing that a rational sin function is integrated correctly by the trapezoidal rule on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+    Real a = 5;
+    auto f = [=](Real x)->Real { using std::sin;  Real t = a + sin(x); return 1.0f / (t*t); };
+
+    Real expected = two_pi<Real>()*a/pow(a*a - 1, 3*half<Real>());
+    Real tol = 100* boost::math::tools::epsilon<Real>();
+    Real Q = trapezoidal(f, (Real) 0, (Real) boost::math::constants::two_pi<Real>(), tol);
+    BOOST_CHECK_CLOSE_FRACTION(Q, expected, tol);
+}
+
+BOOST_AUTO_TEST_CASE(trapezoidal_quadrature)
+{
+    test_constant<float>();
+    test_constant<double>();
+    test_constant<long double>();
+    test_constant<boost::math::concepts::real_concept>();
+    test_constant<cpp_bin_float_50>();
+    test_constant<cpp_bin_float_100>();
+
+    test_rational_periodic<float>();
+    test_rational_periodic<double>();
+    test_rational_periodic<long double>();
+    test_rational_periodic<boost::math::concepts::real_concept>();
+    test_rational_periodic<cpp_bin_float_50>();
+    test_rational_periodic<cpp_bin_float_100>();
+
+    test_bump_function<float>();
+    test_bump_function<double>();
+    test_bump_function<long double>();
+    test_rational_periodic<boost::math::concepts::real_concept>();
+    test_rational_periodic<cpp_bin_float_50>();
+
+    test_zero_function<float>();
+    test_zero_function<double>();
+    test_zero_function<long double>();
+    test_zero_function<boost::math::concepts::real_concept>();
+    test_zero_function<cpp_bin_float_50>();
+    test_zero_function<cpp_bin_float_100>();
+
+    test_sinsq<float>();
+    test_sinsq<double>();
+    test_sinsq<long double>();
+    test_sinsq<boost::math::concepts::real_concept>();
+    test_sinsq<cpp_bin_float_50>();
+    test_sinsq<cpp_bin_float_100>();
+
+    test_slowly_converging<float>();
+    test_slowly_converging<double>();
+    test_slowly_converging<long double>();
+    test_slowly_converging<boost::math::concepts::real_concept>();
+
+    test_rational_sin<float>();
+    test_rational_sin<double>();
+    test_rational_sin<long double>();
+    //test_rational_sin<boost::math::concepts::real_concept>();
+    test_rational_sin<cpp_bin_float_50>();
+
+    test_complex_bessel<std::complex<float>>();
+    test_complex_bessel<std::complex<double>>();
+    test_complex_bessel<std::complex<long double>>();
+    //test_complex_bessel<boost::multiprecision::mpc_complex_100>();
+    test_I0_complex<std::complex<float>>();
+    test_I0_complex<std::complex<double>>();
+    test_I0_complex<std::complex<long double>>();
+    //test_I0_complex<boost::multiprecision::mpc_complex_100>();
+    test_erfc<std::complex<float>>();
+    test_erfc<std::complex<double>>();
+    test_erfc<std::complex<long double>>();
+    //test_erfc<boost::multiprecision::number<boost::multiprecision::mpc_complex_backend<20>>>();
+    //test_erfc<boost::multiprecision::number<boost::multiprecision::mpc_complex_backend<30>>>();
+    //test_erfc<boost::multiprecision::mpc_complex_50>();
+    //test_erfc<boost::multiprecision::mpc_complex_100>();
+
+#ifdef BOOST_HAS_FLOAT128
+    test_complex_bessel<boost::multiprecision::complex128>();
+    test_I0_complex<boost::multiprecision::complex128>();
+    test_erfc<boost::multiprecision::complex128>();
+#endif
+
+}
diff --git a/src/boost/libs/math/test/test_triangular.cpp b/src/boost/libs/math/test/test_triangular.cpp
new file mode 100644
index 000000000..4b2e63429
--- /dev/null
+++ b/src/boost/libs/math/test/test_triangular.cpp
@@ -0,0 +1,764 @@
+// Copyright Paul Bristow 2006, 2007.
+// Copyright John Maddock 2006, 2007.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_triangular.cpp
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4305) // truncation from 'long double' to 'float'
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/triangular.hpp>
+using boost::math::triangular_distribution;
+#include <boost/math/tools/test.hpp>
+#include <boost/math/special_functions/fpclassify.hpp>
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+using std::cout;
+using std::endl;
+using std::scientific;
+using std::fixed;
+using std::left;
+using std::right;
+using std::setw;
+using std::setprecision;
+using std::showpos;
+#include <limits>
+using std::numeric_limits;
+
+template <class RealType>
+void check_triangular(RealType lower, RealType mode, RealType upper, RealType x, RealType p, RealType q, RealType tol)
+{
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(
+    triangular_distribution<RealType>(lower, mode, upper),   // distribution.
+    x),  // random variable.
+    p,    // probability.
+    tol);   // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::cdf(
+    complement(
+    triangular_distribution<RealType>(lower, mode, upper), // distribution.
+    x)),    // random variable.
+    q,    // probability complement.
+    tol);  // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile(
+    triangular_distribution<RealType>(lower,mode, upper),  // distribution.
+    p),   // probability.
+    x,  // random variable.
+    tol);  // tolerance.
+  BOOST_CHECK_CLOSE_FRACTION(
+    ::boost::math::quantile(
+    complement(
+    triangular_distribution<RealType>(lower, mode, upper),  // distribution.
+    q)),     // probability complement.
+    x,                                             // random variable.
+    tol);  // tolerance.
+} // void check_triangular
+
+template <class RealType>
+void test_spots(RealType)
+{
+  // Basic sanity checks:
+  //
+  // Some test values were generated for the triangular distribution
+  // using the online calculator at
+  // http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+  //
+  // Tolerance is just over 5 epsilon expressed as a fraction:
+  RealType tolerance = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction.
+  RealType tol5eps = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction.
+
+  cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+
+  using namespace std; // for ADL of std::exp;
+
+  // Tests on construction
+  // Default should be 0, 0, 1
+  BOOST_CHECK_EQUAL(triangular_distribution<RealType>().lower(), -1);
+  BOOST_CHECK_EQUAL(triangular_distribution<RealType>().mode(), 0);
+  BOOST_CHECK_EQUAL(triangular_distribution<RealType>().upper(), 1);
+  BOOST_CHECK_EQUAL(support(triangular_distribution<RealType>()).first, triangular_distribution<RealType>().lower());
+  BOOST_CHECK_EQUAL(support(triangular_distribution<RealType>()).second, triangular_distribution<RealType>().upper());
+
+  if (std::numeric_limits<RealType>::has_quiet_NaN == true)
+  {
+  BOOST_MATH_CHECK_THROW( // duff parameter lower.
+    triangular_distribution<RealType>(static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), 0, 0),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameter mode.
+    triangular_distribution<RealType>(0, static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN()), 0),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameter upper.
+    triangular_distribution<RealType>(0, 0, static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN())),
+    std::domain_error);
+  } // quiet_NaN tests.
+
+  BOOST_MATH_CHECK_THROW( // duff parameters upper < lower.
+    triangular_distribution<RealType>(1, 0, -1),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameters upper == lower.
+    triangular_distribution<RealType>(0, 0, 0),
+    std::domain_error);
+  BOOST_MATH_CHECK_THROW( // duff parameters mode < lower.
+    triangular_distribution<RealType>(0, -1, 1),
+    std::domain_error);
+
+  BOOST_MATH_CHECK_THROW( // duff parameters mode > upper.
+    triangular_distribution<RealType>(0, 2, 1),
+    std::domain_error);
+
+  // Tests for PDF
+  // // triangular_distribution<RealType>() default is (0, 0, 1), mode == lower.
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower == mode
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(2),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x > upper
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  // triangular_distribution<RealType>() (0, 1, 1) mode == upper
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(2),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x > upper
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x < middle so Wiki says special case pdf = 2 * x
+    pdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0.5),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x < middle so Wiki says special case cdf = x * x
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0.25)),
+    static_cast<RealType>(0.25 * 0.25),
+    tolerance);
+
+  // triangular_distribution<RealType>() (0, 0.5, 1) mode == middle.
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x > upper
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x < lower
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(0),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == mode
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0.5)),
+    static_cast<RealType>(2),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == half mode
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0.25)),
+    static_cast<RealType>(1),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x == half mode
+    pdf(triangular_distribution<RealType>(0, 0.5, 1), static_cast<RealType>(0.75)),
+    static_cast<RealType>(1),
+    tolerance);
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_MATH_CHECK_THROW( // x == infinity NOT OK.
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(std::numeric_limits<RealType>::infinity())),
+      std::domain_error);
+
+    BOOST_MATH_CHECK_THROW( // x == minus infinity not OK too.
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::infinity())),
+      std::domain_error);
+  }
+  if(std::numeric_limits<RealType>::has_quiet_NaN)
+  { // BOOST_CHECK tests for NaN using std::numeric_limits<>::has_quiet_NaN() - should throw.
+    BOOST_MATH_CHECK_THROW(
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN())),
+      std::domain_error);
+    BOOST_MATH_CHECK_THROW(
+      pdf(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::quiet_NaN())),
+      std::domain_error);
+  } // test for x = NaN using std::numeric_limits<>::quiet_NaN()
+
+  // cdf
+  BOOST_CHECK_EQUAL( // x < lower
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0) );
+  BOOST_CHECK_CLOSE_FRACTION( // x == lower
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION( // x == upper
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(1),
+    tolerance);
+   BOOST_CHECK_EQUAL( // x > upper
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(2)),
+    static_cast<RealType>(1));
+
+  BOOST_CHECK_CLOSE_FRACTION( // x == mode
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0)),
+    //static_cast<RealType>((mode - lower) / (upper - lower)),
+    static_cast<RealType>(0.5),    // (0 --1) / (1 -- 1) = 0.5
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(0.9L)),
+    static_cast<RealType>(0.81L),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(-1)),
+    static_cast<RealType>(0),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(-0.5L)),
+    static_cast<RealType>(0.125L),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0)),
+    static_cast<RealType>(0.5),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(+0.5L)),
+    static_cast<RealType>(0.875L),
+    tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(
+    cdf(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(1)),
+    static_cast<RealType>(1),
+    tolerance);
+
+   // cdf complement
+  BOOST_CHECK_EQUAL( // x < lower
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(-1))),
+    static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL( // x == lower
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(0))),
+    static_cast<RealType>(1));
+
+  BOOST_CHECK_EQUAL( // x == mode
+    cdf(complement(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0))),
+    static_cast<RealType>(0.5));
+
+  BOOST_CHECK_EQUAL( // x == mode
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(0))),
+    static_cast<RealType>(1));
+  BOOST_CHECK_EQUAL( // x == mode
+    cdf(complement(triangular_distribution<RealType>(0, 1, 1), static_cast<RealType>(1))),
+    static_cast<RealType>(0));
+
+  BOOST_CHECK_EQUAL( // x > upper
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(2))),
+    static_cast<RealType>(0));
+  BOOST_CHECK_EQUAL( // x == upper
+    cdf(complement(triangular_distribution<RealType>(0, 0, 1), static_cast<RealType>(1))),
+    static_cast<RealType>(0));
+
+  BOOST_CHECK_CLOSE_FRACTION( // x = -0.5
+    cdf(complement(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(-0.5))),
+    static_cast<RealType>(0.875L),
+    tolerance);
+
+  BOOST_CHECK_CLOSE_FRACTION( // x = +0.5
+    cdf(complement(triangular_distribution<RealType>(-1, 0, 1), static_cast<RealType>(0.5))),
+    static_cast<RealType>(0.125),
+    tolerance);
+
+  triangular_distribution<RealType> triang; // Using typedef == triangular_distribution<double> tristd;
+  triangular_distribution<RealType> tristd(0, 0.5, 1); // 'Standard' triangular distribution.
+
+  BOOST_CHECK_CLOSE_FRACTION( // median of Standard triangular is sqrt(mode/2) if c > 1/2 else 1 - sqrt((1-c)/2)
+    median(tristd),
+    static_cast<RealType>(0.5),
+    tolerance);
+  triangular_distribution<RealType> tri011(0, 1, 1); // Using default RealType double.
+  triangular_distribution<RealType> tri0q1(0, 0.25, 1); // mode is near bottom.
+  triangular_distribution<RealType> tri0h1(0, 0.5, 1); // Equilateral triangle - mode is the middle.
+  triangular_distribution<RealType> trim12(-1, -0.5, 2); // mode is negative.
+
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.02L), static_cast<RealType>(0.0016L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.5L), static_cast<RealType>(0.66666666666666666666666666666666666666666666667L), tolerance);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.98L), static_cast<RealType>(0.9994666666666666666666666666666666666666666666L), tolerance);
+
+  // quantile
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, static_cast<RealType>(0.0016L)), static_cast<RealType>(0.02L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, static_cast<RealType>(0.66666666666666666666666666666666666666666666667L)), static_cast<RealType>(0.5), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, static_cast<RealType>(0.3333333333333333333333333333333333333333333333333L))), static_cast<RealType>(0.5), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, static_cast<RealType>(0.999466666666666666666666666666666666666666666666666L)), static_cast<RealType>(98) / 100, 10 * tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(pdf(trim12, 0), static_cast<RealType>(0.533333333333333333333333333333333333333333333L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(trim12, 0), static_cast<RealType>(0.466666666666666666666666666666666666666666667L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(trim12, 0)), static_cast<RealType>(1 - 0.466666666666666666666666666666666666666666667L), tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, static_cast<RealType>(1 - 0.999466666666666666666666666666666666666666666666L))), static_cast<RealType>(0.98L), 10 * tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(1))), static_cast<RealType>(0), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(0.5))), static_cast<RealType>(0.5), tol5eps); // OK
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(1 - 0.02L))), static_cast<RealType>(0.1L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, static_cast<RealType>(1 - 0.98L))), static_cast<RealType>(0.9L), tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 0)), static_cast<RealType>(1), tol5eps);
+
+  RealType xs [] = {0, 0.01L, 0.02L, 0.05L, 0.1L, 0.2L, 0.3L, 0.4L, 0.5L, 0.6L, 0.7L, 0.8L, 0.9L, 0.95L, 0.98L, 0.99L, 1};
+
+  const triangular_distribution<RealType>& distr = triang;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(distr, 1.)), static_cast<RealType>(-1), tol5eps);
+  const triangular_distribution<RealType>* distp = &triang;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*distp, 1.)), static_cast<RealType>(-1), tol5eps);
+
+  const triangular_distribution<RealType>* dists [] = {&tristd, &tri011, &tri0q1, &tri0h1, &trim12};
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*dists[1], 1.)), static_cast<RealType>(0), tol5eps);
+
+   for (int i = 0; i < 5; i++)
+  {
+    const triangular_distribution<RealType>* const dist = dists[i];
+    // cout << "Distribution " << i << endl;
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.5L), quantile(complement(*dist, 0.5L)),  tol5eps);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.98L), quantile(complement(*dist, 1.L - 0.98L)),tol5eps);
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.98L), quantile(complement(*dist, 1.L - 0.98L)),tol5eps);
+  } // for i
+
+   // quantile complement
+  for (int i = 0; i < 5; i++)
+  {
+    const triangular_distribution<RealType>* const dist = dists[i];
+    //cout << "Distribution " << i << endl;
+    BOOST_CHECK_EQUAL(quantile(complement(*dists[i], 1.)), quantile(*dists[i], 0.));
+    for (unsigned j = 0; j < sizeof(xs) /sizeof(RealType); j++)
+    {
+      RealType x = xs[j];
+      BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], x), quantile(complement(*dist, 1 - x)),  tol5eps);
+    } // for j
+  } // for i
+
+
+  check_triangular(
+    static_cast<RealType>(0),       // lower
+    static_cast<RealType>(0.5),     // mode
+    static_cast<RealType>(1),       // upper
+    static_cast<RealType>(0.5),     // x
+    static_cast<RealType>(0.5),     // p
+    static_cast<RealType>(1 - 0.5), // q
+    tolerance);
+
+  // Some Not-standard triangular tests.
+  check_triangular(
+    static_cast<RealType>(-1),    // lower
+    static_cast<RealType>(0),     // mode
+    static_cast<RealType>(1),     // upper
+    static_cast<RealType>(0),     // x
+    static_cast<RealType>(0.5),   // p
+    static_cast<RealType>(1 - 0.5), // q = 1 - p
+    tolerance);
+
+  check_triangular(
+    static_cast<RealType>(1),       // lower
+    static_cast<RealType>(1),       // mode
+    static_cast<RealType>(3),       // upper
+    static_cast<RealType>(2),    // x
+    static_cast<RealType>(0.75),     // p
+    static_cast<RealType>(1 - 0.75), // q = 1 - p
+    tolerance);
+
+  check_triangular(
+    static_cast<RealType>(-1),    // lower
+    static_cast<RealType>(1),       // mode
+    static_cast<RealType>(2),     // upper
+    static_cast<RealType>(1),     // x
+    static_cast<RealType>(0.66666666666666666666666666666666666666666667L),   // p
+    static_cast<RealType>(0.33333333333333333333333333333333333333333333L), // q = 1 - p
+    tolerance);
+  tolerance = (std::max)(
+    boost::math::tools::epsilon<RealType>(),
+    static_cast<RealType>(boost::math::tools::epsilon<double>())) * 10; // 10 eps as a fraction.
+  cout << "Tolerance (as fraction) for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+  
+    triangular_distribution<RealType> tridef; // (-1, 0, 1) // Default distribution.
+    RealType x = static_cast<RealType>(0.5);
+    using namespace std; // ADL of std names.
+    // mean:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mean(tridef), static_cast<RealType>(0), tolerance);
+    // variance:
+    BOOST_CHECK_CLOSE_FRACTION(
+      variance(tridef), static_cast<RealType>(0.16666666666666666666666666666666666666666667L), tolerance);
+    // was 0.0833333333333333333333333333333333333333333L
+
+    // std deviation:
+    BOOST_CHECK_CLOSE_FRACTION(
+      standard_deviation(tridef), sqrt(variance(tridef)), tolerance);
+    // hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      hazard(tridef, x), pdf(tridef, x) / cdf(complement(tridef, x)), tolerance);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      chf(tridef, x), -log(cdf(complement(tridef, x))), tolerance);
+    // coefficient_of_variation:
+    if (mean(tridef) != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        coefficient_of_variation(tridef), standard_deviation(tridef) / mean(tridef), tolerance);
+    }
+    // mode:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mode(tridef), static_cast<RealType>(0), tolerance);
+    // skewness:
+    BOOST_CHECK_CLOSE_FRACTION(
+      median(tridef), static_cast<RealType>(0), tolerance);
+    // https://reference.wolfram.com/language/ref/Skewness.html  skewness{-1, 0, +1} = 0
+    // skewness[triangulardistribution{-1, 0, +1}] does not compute a result.
+    // skewness[triangulardistribution{0, +1}] result == 0
+    // skewness[normaldistribution{0,1}] result == 0
+
+    BOOST_CHECK_EQUAL(
+      skewness(tridef), static_cast<RealType>(0));
+    // kurtosis:
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tridef), kurtosis(tridef) - static_cast<RealType>(3L), tolerance);
+    // kurtosis excess = kurtosis - 3;
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tridef), static_cast<RealType>(-0.6), tolerance); // Constant value of -3/5 for all distributions.
+
+    BOOST_CHECK_CLOSE_FRACTION(
+      entropy(tridef), static_cast<RealType>(1)/2, tolerance);
+
+  {
+    triangular_distribution<RealType> tri01(0, 1, 1); //  Asymmetric 0, 1, 1 distribution.
+    RealType x = static_cast<RealType>(0.5);
+    using namespace std; // ADL of std names.
+                         // mean:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mean(tri01), static_cast<RealType>(0.66666666666666666666666666666666666666666666666667L), tolerance);
+    // variance: N[variance[triangulardistribution{0, 1}, 1], 50]
+    BOOST_CHECK_CLOSE_FRACTION(
+      variance(tri01), static_cast<RealType>(0.055555555555555555555555555555555555555555555555556L), tolerance);
+    // std deviation:
+    BOOST_CHECK_CLOSE_FRACTION(
+      standard_deviation(tri01), sqrt(variance(tri01)), tolerance);
+    // hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      hazard(tri01, x), pdf(tri01, x) / cdf(complement(tri01, x)), tolerance);
+    // cumulative hazard:
+    BOOST_CHECK_CLOSE_FRACTION(
+      chf(tri01, x), -log(cdf(complement(tri01, x))), tolerance);
+    // coefficient_of_variation:
+    if (mean(tri01) != 0)
+    {
+      BOOST_CHECK_CLOSE_FRACTION(
+        coefficient_of_variation(tri01), standard_deviation(tri01) / mean(tri01), tolerance);
+    }
+    // mode:
+    BOOST_CHECK_CLOSE_FRACTION(
+      mode(tri01), static_cast<RealType>(1), tolerance);
+    // skewness:
+    BOOST_CHECK_CLOSE_FRACTION(
+      median(tri01), static_cast<RealType>(0.70710678118654752440084436210484903928483593768847L), tolerance);
+
+    // https://reference.wolfram.com/language/ref/Skewness.html
+    // N[skewness[triangulardistribution{0, 1}, 1], 50]
+    BOOST_CHECK_CLOSE_FRACTION(
+      skewness(tri01), static_cast<RealType>(-0.56568542494923801952067548968387923142786875015078L), tolerance);
+    // kurtosis:
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tri01), kurtosis(tri01) - static_cast<RealType>(3L), tolerance);
+    // kurtosis excess = kurtosis - 3;
+    BOOST_CHECK_CLOSE_FRACTION(
+      kurtosis_excess(tri01), static_cast<RealType>(-0.6), tolerance); // Constant value of -3/5 for all distributions.
+  } // tri01 tests
+
+  if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    using boost::math::policies::policy;
+    using boost::math::policies::domain_error;
+    using boost::math::policies::ignore_error;
+
+    // Define a (bad?) policy to ignore domain errors ('bad' arguments):
+    typedef policy<domain_error<ignore_error> > inf_policy; // domain error returns infinity.
+    triangular_distribution<RealType, inf_policy> tridef_inf(-1, 0., 1);
+    // But can't use BOOST_CHECK_EQUAL(?, quiet_NaN)
+    using boost::math::isnan;
+    BOOST_CHECK((isnan)(pdf(tridef_inf, std::numeric_limits<RealType>::infinity())));
+  } // test for infinity using std::numeric_limits<>::infinity()
+  else
+  { // real_concept case, does has_infinfity == false, so can't check it throws.
+    // cout << std::numeric_limits<RealType>::infinity() << ' '
+    // << (boost::math::fpclassify)(std::numeric_limits<RealType>::infinity()) << endl;
+    // value of std::numeric_limits<RealType>::infinity() is zero, so FPclassify is zero,
+    // so (boost::math::isfinite)(std::numeric_limits<RealType>::infinity()) does not detect infinity.
+    // so these tests would never throw.
+    //BOOST_MATH_CHECK_THROW(pdf(tridef, std::numeric_limits<RealType>::infinity()),  std::domain_error);
+    //BOOST_MATH_CHECK_THROW(pdf(tridef, std::numeric_limits<RealType>::quiet_NaN()),  std::domain_error);
+    // BOOST_MATH_CHECK_THROW(pdf(tridef, boost::math::tools::max_value<RealType>() * 2),  std::domain_error); // Doesn't throw.
+    BOOST_CHECK_EQUAL(pdf(tridef, boost::math::tools::max_value<RealType>()), 0);
+  }
+  // Special cases:
+  BOOST_CHECK(pdf(tridef, -1) == 0);
+  BOOST_CHECK(pdf(tridef, 1) == 0);
+  BOOST_CHECK(cdf(tridef, 0) == 0.5);
+  BOOST_CHECK(pdf(tridef, 1) == 0);
+  BOOST_CHECK(cdf(tridef, 1) == 1);
+  BOOST_CHECK(cdf(complement(tridef, -1)) == 1);
+  BOOST_CHECK(cdf(complement(tridef, 1)) == 0);
+  BOOST_CHECK(quantile(tridef, 1) == 1);
+  BOOST_CHECK(quantile(complement(tridef, 1)) == -1);
+
+  BOOST_CHECK_EQUAL(support(trim12).first, trim12.lower());
+  BOOST_CHECK_EQUAL(support(trim12).second, trim12.upper());
+
+  // Error checks:
+  if(std::numeric_limits<RealType>::has_quiet_NaN)
+  { // BOOST_CHECK tests for quiet_NaN (not for real_concept, for example - see notes above).
+    BOOST_MATH_CHECK_THROW(triangular_distribution<RealType>(0, std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+    BOOST_MATH_CHECK_THROW(triangular_distribution<RealType>(0, -std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+  }
+  BOOST_MATH_CHECK_THROW(triangular_distribution<RealType>(1, 0), std::domain_error); // lower > upper!
+
+  check_out_of_range<triangular_distribution<RealType> >(-1, 0, 1);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  //  double toleps = std::numeric_limits<double>::epsilon(); // 5 eps as a fraction.
+  double tol5eps = std::numeric_limits<double>::epsilon() * 5; // 5 eps as a fraction.
+  // double tol50eps = std::numeric_limits<double>::epsilon() * 50; // 50 eps as a fraction.
+  double tol500eps = std::numeric_limits<double>::epsilon() * 500; // 500 eps as a fraction.
+
+  // Check that can construct triangular distribution using the two convenience methods:
+  using namespace boost::math;
+  triangular triang; // Using typedef
+  // == triangular_distribution<double> triang;
+
+  BOOST_CHECK_EQUAL(triang.lower(), -1); // Check default.
+  BOOST_CHECK_EQUAL(triang.mode(), 0);
+  BOOST_CHECK_EQUAL(triang.upper(), 1);
+
+  triangular tristd (0, 0.5, 1); // Using typedef
+
+  BOOST_CHECK_EQUAL(tristd.lower(), 0);
+  BOOST_CHECK_EQUAL(tristd.mode(), 0.5);
+  BOOST_CHECK_EQUAL(tristd.upper(), 1);
+
+  //cout << "X range from " << range(tristd).first << " to " << range(tristd).second << endl;
+  //cout << "Supported from "<< support(tristd).first << ' ' << support(tristd).second << endl;
+
+  BOOST_CHECK_EQUAL(support(tristd).first, tristd.lower());
+  BOOST_CHECK_EQUAL(support(tristd).second, tristd.upper());
+
+  triangular_distribution<> tri011(0, 1, 1); // Using default RealType double.
+  // mode is upper
+  BOOST_CHECK_EQUAL(tri011.lower(), 0); // Check defaults again.
+  BOOST_CHECK_EQUAL(tri011.mode(), 1); // Check defaults again.
+  BOOST_CHECK_EQUAL(tri011.upper(), 1);
+  BOOST_CHECK_EQUAL(mode(tri011), 1);
+
+  BOOST_CHECK_EQUAL(pdf(tri011, 0), 0);
+  BOOST_CHECK_EQUAL(pdf(tri011, 0.1), 0.2);
+  BOOST_CHECK_EQUAL(pdf(tri011, 0.5), 1);
+  BOOST_CHECK_EQUAL(pdf(tri011, 0.9), 1.8);
+  BOOST_CHECK_EQUAL(pdf(tri011, 1), 2);
+
+  BOOST_CHECK_EQUAL(cdf(tri011, 0), 0);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri011, 0.1), 0.01, tol5eps);
+  BOOST_CHECK_EQUAL(cdf(tri011, 0.5), 0.25);
+  BOOST_CHECK_EQUAL(cdf(tri011, 0.9), 0.81);
+  BOOST_CHECK_EQUAL(cdf(tri011, 1), 1);
+  BOOST_CHECK_EQUAL(cdf(tri011, 9), 1);
+  BOOST_CHECK_EQUAL(mean(tri011), 0.666666666666666666666666666666666666666666666666667);
+  BOOST_CHECK_EQUAL(variance(tri011), 1./18.);
+
+  triangular tri0h1(0, 0.5, 1); // Equilateral triangle - mode is the middle.
+  BOOST_CHECK_EQUAL(tri0h1.lower(), 0);
+  BOOST_CHECK_EQUAL(tri0h1.mode(), 0.5);
+  BOOST_CHECK_EQUAL(tri0h1.upper(), 1);
+  BOOST_CHECK_EQUAL(mean(tri0h1), 0.5);
+  BOOST_CHECK_EQUAL(mode(tri0h1), 0.5);
+  BOOST_CHECK_EQUAL(pdf(tri0h1, -1), 0);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, -1), 0);
+  BOOST_CHECK_EQUAL(pdf(tri0h1, 1), 0);
+  BOOST_CHECK_EQUAL(pdf(tri0h1, 999), 0);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, 999), 1);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, 1), 1);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0h1, 0.1), 0.02, tol5eps);
+  BOOST_CHECK_EQUAL(cdf(tri0h1, 0.5), 0.5);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0h1, 0.9), 0.98, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.), 0., tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.02), 0.1, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.5), 0.5, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 0.98), 0.9, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0h1, 1.), 1., tol5eps);
+
+  triangular tri0q1(0, 0.25, 1); // mode is near bottom.
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.02), 0.0016, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.5), 0.66666666666666666666666666666666666666666666667, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(tri0q1, 0.98), 0.99946666666666661, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, 0.0016), 0.02, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, 0.66666666666666666666666666666666666666666666667), 0.5, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, 0.3333333333333333333333333333333333333333333333333)), 0.5, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(tri0q1, 0.99946666666666661), 0.98, 10 * tol5eps);
+
+  triangular trim12(-1, -0.5, 2); // mode is negative.
+  BOOST_CHECK_CLOSE_FRACTION(pdf(trim12, 0), 0.533333333333333333333333333333333333333333333, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(trim12, 0), 0.466666666666666666666666666666666666666666667, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(cdf(complement(trim12, 0)), 1 - 0.466666666666666666666666666666666666666666667, tol5eps);
+
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0q1, 1 - 0.99946666666666661)), 0.98, 10 * tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 1.)), 0., tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 0.5)), 0.5, tol5eps); // OK
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 1. - 0.02)), 0.1, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 1. - 0.98)), 0.9, tol5eps);
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(tri0h1, 0)), 1., tol5eps);
+
+  double xs [] = {0., 0.01, 0.02, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.95, 0.98, 0.99, 1.};
+
+  const triangular_distribution<double>& distr = tristd;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(distr, 1.)), 0., tol5eps);
+  const triangular_distribution<double>* distp = &tristd;
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*distp, 1.)), 0., tol5eps);
+
+  const triangular_distribution<double>* dists [] = {&tristd, &tri011, &tri0q1, &tri0h1, &trim12};
+  BOOST_CHECK_CLOSE_FRACTION(quantile(complement(*dists[1], 1.)), 0., tol5eps);
+
+  for (int i = 0; i < 5; i++)
+  {
+    const triangular_distribution<double>* const dist = dists[i];
+    cout << "Distribution " << i << endl;
+    BOOST_CHECK_EQUAL(quantile(complement(*dists[i], 1.)), quantile(*dists[i], 0.));
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.5), quantile(complement(*dist, 0.5)),  tol5eps); // OK
+    BOOST_CHECK_CLOSE_FRACTION(quantile(*dists[i], 0.98), quantile(complement(*dist, 1. - 0.98)),tol5eps);
+    // cout << setprecision(17) <<  median(*dist) << endl;
+  }
+
+  cout << showpos << setprecision(2) << endl;
+
+  //triangular_distribution<double>& dist = trim12;
+  for (unsigned i = 0; i < sizeof(xs) /sizeof(double); i++)
+  {
+    double x = xs[i] * (trim12.upper() - trim12.lower()) + trim12.lower();
+    double dx = cdf(trim12, x);
+    double cx = cdf(complement(trim12, x));
+    //cout << fixed << showpos << setprecision(3)
+    //  << xs[i] << ", " << x << ",  " << pdf(trim12, x) << ",  " << dx << ",  " << cx << ",, " ;
+
+    BOOST_CHECK_CLOSE_FRACTION(cx, 1 - dx, tol500eps); // cx == 1 - dx
+
+    // << setprecision(2) << scientific << cr - x << ", " // difference x - quan(cdf)
+    // << setprecision(3) << fixed
+    // << quantile(trim12, dx) << ", "
+    // << quantile(complement(trim12, 1 - dx)) << ", "
+    // << quantile(complement(trim12, cx)) << ", "
+    // << endl;
+    BOOST_CHECK_CLOSE_FRACTION(quantile(trim12, dx), quantile(complement(trim12, 1 - dx)), tol500eps);
+  }
+  cout << endl;
+  // Basic sanity-check spot values.
+  // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+  #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+    test_spots(0.0L); // Test long double.
+  #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+    test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+  #endif
+  #else
+     std::cout << "<note>The long double tests have been disabled on this platform "
+        "either because the long double overloads of the usual math functions are "
+        "not available at all, or because they are too inaccurate for these tests "
+        "to pass.</note>" << std::endl;
+  #endif
+
+  
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_triangular.exe"
+Running 1 test case...
+Distribution 0
+Distribution 1
+Distribution 2
+Distribution 3
+Distribution 4
+Tolerance for type float is 5.96046e-007.
+Tolerance for type double is 1.11022e-015.
+Tolerance for type long double is 1.11022e-015.
+Tolerance for type class boost::math::concepts::real_concept is 1.11022e-015.
+*** No errors detected
+
+
+
+*/
+
+
+
+
diff --git a/src/boost/libs/math/test/test_trig.cpp b/src/boost/libs/math/test/test_trig.cpp
new file mode 100644
index 000000000..2ad1ad5ee
--- /dev/null
+++ b/src/boost/libs/math/test/test_trig.cpp
@@ -0,0 +1,82 @@
+//  Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_trig.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions sin_pi, cos_pi, with test data
+// generated at high precision naively using sin(pi*x) rather than
+// our routines.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*",                          // test data group
+      ".*", 2, 1);                   // test function
+
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", "
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   BOOST_MATH_CONTROL_FP;
+   expected_results();
+
+   test_trig(0.1F, "float");
+   test_trig(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_trig(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_trig(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_trig.hpp b/src/boost/libs/math/test/test_trig.hpp
new file mode 100644
index 000000000..1092815fb
--- /dev/null
+++ b/src/boost/libs/math/test/test_trig.hpp
@@ -0,0 +1,87 @@
+// Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_trig(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(SIN_PI_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type (*pg)(value_type);
+#ifdef SIN_PI_RATIO_FUNCTION_TO_TEST
+   pg funcp = SIN_PI_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::sin_pi<value_type>;
+#else
+   pg funcp = boost::math::sin_pi;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test sin_pi against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "sin_pi", test_name);
+   //
+   // test cos_pi against data:
+   //
+#ifdef COS_PI_RATIO_FUNCTION_TO_TEST
+   funcp = COS_PI_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   funcp = boost::math::cos_pi<value_type>;
+#else
+   funcp = boost::math::cos_pi;
+#endif
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(2));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "cos_pi", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_trig(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+   // The contents are as follows, each row of data contains
+   // three items, input value a, input value b and erf(a, b):
+   //
+#  include "trig_data.ipp"
+
+   do_test_trig<T>(trig_data, name, "sin_pi and cos_pi");
+
+#  include "trig_data2.ipp"
+
+   do_test_trig<T>(trig_data2, name, "sin_pi and cos_pi near integers and half integers");
+}
+
diff --git a/src/boost/libs/math/test/test_trigamma.cpp b/src/boost/libs/math/test/test_trigamma.cpp
new file mode 100644
index 000000000..9e471dc1c
--- /dev/null
+++ b/src/boost/libs/math/test/test_trigamma.cpp
@@ -0,0 +1,56 @@
+//  (C) Copyright John Maddock 2014.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <pch_light.hpp>
+#include "test_trigamma.hpp"
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double|real_concept";
+   }
+   else
+   {
+      largest_type = "long double|real_concept";
+   }
+#else
+   largest_type = "(long\\s+)?double|real_concept";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 20, 10);                 // test function
+   //
+   // Finish off by printing out the compiler/stdlib/platform names,
+   // we do this to make it easier to mark up expected error rates.
+   //
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_trigamma(0.0F, "float");
+   test_trigamma(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_trigamma(0.0L, "long double");
+   test_trigamma(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_trigamma.hpp b/src/boost/libs/math/test/test_trigamma.hpp
new file mode 100644
index 000000000..9ebaa03bf
--- /dev/null
+++ b/src/boost/libs/math/test/test_trigamma.hpp
@@ -0,0 +1,78 @@
+// Copyright John Maddock 2014
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#ifndef BOOST_FLOAT128_C
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#else
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_FLOAT128_C(x))
+#endif
+#endif
+
+template <class Real, class T>
+void do_test_trigamma(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(TRIGAMMA_RATIO_FUNCTION_TO_TEST))
+   typedef Real                   value_type;
+
+   typedef value_type(*pg)(value_type);
+#ifdef TRIGAMMA_RATIO_FUNCTION_TO_TEST
+   pg funcp = TRIGAMMA_RATIO_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::trigamma<value_type>;
+#else
+   pg funcp = boost::math::trigamma;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+
+   std::cout << "Testing " << test_name << " with type " << type_name
+      << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
+
+   //
+   // test trigamma against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "trigamma", test_name);
+   std::cout << std::endl;
+#endif
+}
+
+template <class T>
+void test_trigamma(T, const char* name)
+{
+   typedef typename table_type<T>::type value_type;
+
+   boost::array<boost::array<value_type, 3>, 659> data =
+   { { 
+      {{ SC_(1.0), SC_(1.6449340668482264364724151666460252) }}, {{ SC_(2.0), SC_(0.64493406684822643647241516664602519) }}, {{ SC_(3.0), SC_(0.39493406684822643647241516664602519) }}, {{ SC_(4.0), SC_(0.28382295573711532536130405553491408) }}, {{ SC_(5.0), SC_(0.22132295573711532536130405553491408) }}, {{ SC_(6.0), SC_(0.18132295573711532536130405553491408) }}, {{ SC_(7.0), SC_(0.15354517795933754758352627775713630) }}, {{ SC_(8.0), SC_(0.13313701469403142513454668592040161) }}, {{ SC_(9.0), SC_(0.11751201469403142513454668592040161) }}, {{ SC_(10.0), SC_(0.10516633568168574612220100690805593) }}, {{ SC_(11.0), SC_(0.095166335681685746122201006908055927) }}, {{ SC_(12.0), SC_(0.086901872871768390750300180461774936) }}, {{ SC_(13.0), SC_(0.079957428427323946305855736017330491) }}, {{ SC_(14.0), SC_(0.074040268664010336838400114715555343) }}, {{ SC_(15.0), SC_(0.068938227847683806226155216756371670) }}, {{ SC_(16.0), SC_(0.064493783403239361781710772311927225) }}, {{ SC_(17.0), SC_(0.060587533403239361781710772311927225) }}, {{ SC_(18.0), SC_(0.057127325790782614376866481654487779) }}, {{ SC_(19.0), SC_(0.054040906037696194623780061901401359) }}, {{ SC_(20.0), SC_(0.051270822935203119831536294588381969) }}, {{ SC_(21.0), SC_(0.048770822935203119831536294588381969) }}, {{ SC_(22.0), SC_(0.046503249239057995114983006606522558) }}, {{ SC_(23.0), SC_(0.044437133536578656272007799994952310) }}, {{ SC_(24.0), SC_(0.042546774368336690298472828350339834) }}, {{ SC_(25.0), SC_(0.040810663257225579187361717239228723) }}, {{ SC_(26.0), SC_(0.039210663257225579187361717239228723) }}, {{ SC_(27.0), SC_(0.037731373316397176820497811913784936) }}, {{ SC_(28.0), SC_(0.036359631203914323596903847579079860) }}, {{ SC_(29.0), SC_(0.035084120999832690943842623089283942) }}, {{ SC_(30.0), SC_(0.033895060357739944213759388844337450) }}, {{ SC_(31.0), SC_(0.032783949246628833102648277733226339) }}, {{ SC_(32.0), SC_(0.031743366520302090126581680438741427) }}, {{ SC_(33.0), SC_(0.030766804020302090126581680438741427) }}, {{ SC_(34.0), SC_(0.029848530374755717307481588611376873) }}, {{ SC_(35.0), SC_(0.028983478471641530456270515947017011) }}, {{ SC_(36.0), SC_(0.028167151941029285558311332273547623) }}, {{ SC_(37.0), SC_(0.027395547002757680620039727335276018) }}, {{ SC_(38.0), SC_(0.026665086812838031240930888766977990) }}, {{ SC_(39.0), SC_(0.025972566037214762542869946938723143) }}, {{ SC_(40.0), SC_(0.025315103841291028157597100127414793) }}, {{ SC_(41.0), SC_(0.024690103841291028157597100127414793) }}, {{ SC_(42.0), SC_(0.024095219843670564148078956165487369) }}, {{ SC_(43.0), SC_(0.023528326419634282968940634170022516) }}, {{ SC_(44.0), SC_(0.022987493536995018501661023569698017) }}, {{ SC_(45.0), SC_(0.022470964611375183790917221916805455) }}, {{ SC_(46.0), SC_(0.021977137450881356630423394756311627) }}, {{ SC_(47.0), SC_(0.021504547658820865137039651845158508) }}, {{ SC_(48.0), SC_(0.021051854132338293837809230840178880) }}, {{ SC_(49.0), SC_(0.020617826354560516060031453062401102) }}, {{ SC_(50.0), SC_(0.020201333226697125805970645065733047) }}, {{ SC_(51.0), SC_(0.019801333226697125805970645065733047) }}, {{ SC_(52.0), SC_(0.019416865714201931649876834992684219) }}, {{ SC_(53.0), SC_(0.019047043228994831058160858661323273) }}, {{ SC_(54.0), SC_(0.018691044652989135080944767525687815) }}, {{ SC_(55.0), SC_(0.018348109124868421775046276442011546) }}, {{ SC_(56.0), SC_(0.018017530612471727560170243384160307) }}, {{ SC_(57.0), SC_(0.017698653061451319396904937261711327) }}, {{ SC_(58.0), SC_(0.017390866050063199975544518671375839) }}, {{ SC_(59.0), SC_(0.017093600889540013293023710110139216) }}, {{ SC_(60.0), SC_(0.016806327117635388185296045645904801) }}, {{ SC_(61.0), SC_(0.016528549339857610407518267868127023) }}, {{ SC_(62.0), SC_(0.016259804378825629757155462170733849) }}, {{ SC_(63.0), SC_(0.015999658697243944013138812847112621) }}, {{ SC_(64.0), SC_(0.015747706064338930155744003071350465) }}, {{ SC_(65.0), 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+   } };
+   do_test_trigamma<T>(data, name, "Mathematica Data");
+}
+
diff --git a/src/boost/libs/math/test/test_uniform.cpp b/src/boost/libs/math/test/test_uniform.cpp
new file mode 100644
index 000000000..7b56edc37
--- /dev/null
+++ b/src/boost/libs/math/test/test_uniform.cpp
@@ -0,0 +1,464 @@
+// Copyright Paul Bristow 2007.
+// Copyright John Maddock 2006.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_uniform.cpp
+
+#include <pch.hpp>
+
+#ifdef _MSC_VER
+#  pragma warning(disable: 4127) // conditional expression is constant.
+#  pragma warning(disable: 4100) // unreferenced formal parameter.
+#endif
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/uniform.hpp>
+    using boost::math::uniform_distribution;
+#include <boost/math/tools/test.hpp> 
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+#include <iomanip>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+void check_uniform(RealType lower, RealType upper, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+         uniform_distribution<RealType>(lower, upper),   // distribution.
+         x),  // random variable.
+         p,    // probability.
+         tol);   // tolerance.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::cdf(
+         complement(
+            uniform_distribution<RealType>(lower, upper), // distribution.
+            x)),    // random variable.
+         q,    // probability complement.
+         tol);  // tolerance.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+         uniform_distribution<RealType>(lower, upper),  // distribution.
+         p),   // probability.
+         x,  // random variable.
+         tol);  // tolerance.
+   BOOST_CHECK_CLOSE_FRACTION(
+      ::boost::math::quantile(
+         complement(
+            uniform_distribution<RealType>(lower, upper),  // distribution.
+            q)),     // probability complement.
+         x,                                             // random variable.
+         tol);  // tolerance.
+} // void check_uniform
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   //
+   // These test values were generated for the normal distribution
+   // using the online calculator at 
+   // http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   //
+   // Tolerance is just over 5 decimal digits expressed as a fraction:
+   // that's the limit of the test data.
+   RealType tolerance = 2e-5f;  
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+
+   using std::exp;
+
+   // Tests for PDF
+   //
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0)), 
+      static_cast<RealType>(1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x == lower
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1)), 
+      static_cast<RealType>(1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x > upper
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-1)), 
+      static_cast<RealType>(0), 
+      tolerance); 
+   BOOST_CHECK_CLOSE_FRACTION( // x < lower
+      pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(2)), 
+      static_cast<RealType>(0), 
+      tolerance);
+
+   if(std::numeric_limits<RealType>::has_infinity)
+    { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+      // Note that infinity is not implemented for real_concept, so these tests
+      // are only done for types, like built-in float, double.. that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+     BOOST_MATH_CHECK_THROW( // x == infinity should NOT be OK.
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(std::numeric_limits<RealType>::infinity())), 
+       std::domain_error);
+
+     BOOST_MATH_CHECK_THROW( // x == minus infinity should be OK too.
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::infinity())), 
+       std::domain_error);
+   }
+   if(std::numeric_limits<RealType>::has_quiet_NaN)
+   { // BOOST_CHECK tests for NaN using std::numeric_limits<>::has_quiet_NaN() - should throw.
+     BOOST_MATH_CHECK_THROW(
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(std::numeric_limits<RealType>::quiet_NaN())), 
+       std::domain_error);
+     BOOST_MATH_CHECK_THROW(
+       pdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-std::numeric_limits<RealType>::quiet_NaN())), 
+       std::domain_error);
+   } // test for x = NaN using std::numeric_limits<>::quiet_NaN()
+
+   // cdf
+   BOOST_CHECK_EQUAL( // x < lower
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(-1)), 
+      static_cast<RealType>(0) );
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0)), 
+      static_cast<RealType>(0), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.9)), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_EQUAL( // x > upper
+      cdf(uniform_distribution<RealType>(0, 1), static_cast<RealType>(2)), 
+      static_cast<RealType>(1));
+
+  // cdf complement
+   BOOST_CHECK_EQUAL( // x < lower
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0))), 
+      static_cast<RealType>(1));
+   BOOST_CHECK_EQUAL( // x == 0
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0))), 
+      static_cast<RealType>(1));
+   BOOST_CHECK_CLOSE_FRACTION( // x = 0.1
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1))), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x = 0.5
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5))), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_EQUAL( // x == 1
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1))), 
+      static_cast<RealType>(0));
+   BOOST_CHECK_EQUAL( // x > upper
+      cdf(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(2))), 
+      static_cast<RealType>(0));
+
+   // quantile
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.9)), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0)), 
+      static_cast<RealType>(0), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1)), 
+      static_cast<RealType>(1), 
+      tolerance);
+
+   // quantile complement
+
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.1))), 
+      static_cast<RealType>(0.9), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.9))), 
+      static_cast<RealType>(0.1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0.5))), 
+      static_cast<RealType>(0.5), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(0))), 
+      static_cast<RealType>(1), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      quantile(complement(uniform_distribution<RealType>(0, 1), static_cast<RealType>(1))), 
+      static_cast<RealType>(0), 
+      tolerance);
+
+   // Some tests using a different location & scale, neight zero or unity.
+   BOOST_CHECK_CLOSE_FRACTION( // x == mid
+      pdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      pdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(+2)), 
+      static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333),  // 1 / (2 - -1) = 1/3
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == lower
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(-1)), 
+      static_cast<RealType>(0), 
+      tolerance);
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(0)), 
+      static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.6666666666666666666666666666666666666666666666666667), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == lower
+      cdf(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(2)), 
+      static_cast<RealType>(1), 
+      tolerance);
+
+   BOOST_CHECK_CLOSE_FRACTION( // x == upper
+      quantile(uniform_distribution<RealType>(-1, 2), static_cast<RealType>(0.6666666666666666666666666666666666666666666666666667)), 
+      static_cast<RealType>(1),
+      tolerance);
+
+      check_uniform(
+      static_cast<RealType>(0),       // lower
+      static_cast<RealType>(1),       // upper
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(0.5),     // p
+      static_cast<RealType>(1 - 0.5), // q
+      tolerance);
+
+      // Some Not-standard uniform tests.
+      check_uniform(
+      static_cast<RealType>(-1),    // lower
+      static_cast<RealType>(1),     // upper
+      static_cast<RealType>(0),     // x
+      static_cast<RealType>(0.5),   // p
+      static_cast<RealType>(1 - 0.5), // q = 1 - p
+      tolerance);
+
+      check_uniform(
+      static_cast<RealType>(1),    // lower
+      static_cast<RealType>(3),     // upper
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(0.5),   // p
+      static_cast<RealType>(1 - 0.5), // q = 1 - p
+      tolerance);
+
+      check_uniform(
+      static_cast<RealType>(-1),    // lower
+      static_cast<RealType>(2),     // upper
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(0.66666666666666666666666666666666666666666667),   // p
+      static_cast<RealType>(0.33333333333333333333333333333333333333333333), // q = 1 - p
+      tolerance);
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(boost::math::tools::epsilon<double>())) * 5; // 5 eps as a fraction.
+    cout << "Tolerance (as fraction) for type " << typeid(RealType).name()  << " is " << tolerance << "." << endl;
+   uniform_distribution<RealType> distu01(0, 1);
+   RealType x = static_cast<RealType>(0.5);
+   using namespace std; // ADL of std names.
+   // mean:
+   BOOST_CHECK_CLOSE_FRACTION(
+      mean(distu01), static_cast<RealType>(0.5), tolerance);
+   // variance:
+   BOOST_CHECK_CLOSE_FRACTION(
+      variance(distu01), static_cast<RealType>(0.0833333333333333333333333333333333333333333), tolerance);
+   // std deviation:
+   BOOST_CHECK_CLOSE_FRACTION(
+    standard_deviation(distu01), sqrt(variance(distu01)), tolerance);
+   // hazard:
+   BOOST_CHECK_CLOSE_FRACTION(
+    hazard(distu01, x), pdf(distu01, x) / cdf(complement(distu01, x)), tolerance);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE_FRACTION(
+    chf(distu01, x), -log(cdf(complement(distu01, x))), tolerance);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE_FRACTION(
+    coefficient_of_variation(distu01), standard_deviation(distu01) / mean(distu01), tolerance);
+   // mode:
+   BOOST_CHECK_CLOSE_FRACTION(
+    mode(distu01), static_cast<RealType>(0), tolerance);
+   BOOST_CHECK_CLOSE_FRACTION(
+      median(distu01), static_cast<RealType>(0.5), tolerance);
+   // skewness:
+   BOOST_CHECK_EQUAL(
+    skewness(distu01), static_cast<RealType>(0));
+   // kurtosis:
+   BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis(distu01), kurtosis_excess(distu01) + static_cast<RealType>(3), tolerance);
+   // kurtosis excess:
+   BOOST_CHECK_CLOSE_FRACTION(
+    kurtosis_excess(distu01), static_cast<RealType>(-1.2), tolerance);
+
+   BOOST_CHECK_SMALL(
+    entropy(distu01), tolerance);
+
+   if(std::numeric_limits<RealType>::has_infinity)
+  { // BOOST_CHECK tests for infinity using std::numeric_limits<>::infinity()
+    // Note that infinity is not implemented for real_concept, so these tests
+    // are only done for types, like built-in float, double, long double, that have infinity.
+    // Note that these assume that  BOOST_MATH_OVERFLOW_ERROR_POLICY is NOT throw_on_error.
+    // #define BOOST_MATH_OVERFLOW_ERROR_POLICY == throw_on_error would give a throw here.
+    // #define BOOST_MATH_DOMAIN_ERROR_POLICY == throw_on_error IS defined, so the throw path
+    // of error handling is tested below with BOOST_MATH_CHECK_THROW tests.
+
+    BOOST_MATH_CHECK_THROW(pdf(distu01, std::numeric_limits<RealType>::infinity()),  std::domain_error);
+    BOOST_MATH_CHECK_THROW(pdf(distu01, -std::numeric_limits<RealType>::infinity()),  std::domain_error);
+   } // test for infinity using std::numeric_limits<>::infinity()
+   else
+   { // real_concept case, does has_infinfity == false, so can't check it throws.
+     // cout << std::numeric_limits<RealType>::infinity() << ' '
+     // << (boost::math::fpclassify)(std::numeric_limits<RealType>::infinity()) << endl;
+     // value of std::numeric_limits<RealType>::infinity() is zero, so FPclassify is zero,
+     // so (boost::math::isfinite)(std::numeric_limits<RealType>::infinity()) does not detect infinity.
+     // so these tests would never throw.
+     //BOOST_MATH_CHECK_THROW(pdf(distu01, std::numeric_limits<RealType>::infinity()),  std::domain_error);
+     //BOOST_MATH_CHECK_THROW(pdf(distu01, std::numeric_limits<RealType>::quiet_NaN()),  std::domain_error);
+     // BOOST_MATH_CHECK_THROW(pdf(distu01, boost::math::tools::max_value<RealType>() * 2),  std::domain_error); // Doesn't throw.
+     BOOST_CHECK_EQUAL(pdf(distu01, boost::math::tools::max_value<RealType>()), 0); 
+   }
+   // Special cases:
+   BOOST_CHECK(pdf(distu01, 0) == 1);
+   BOOST_CHECK(cdf(distu01, 0) == 0);
+   BOOST_CHECK(pdf(distu01, 1) == 1);
+   BOOST_CHECK(cdf(distu01, 1) == 1);
+   BOOST_CHECK(cdf(complement(distu01, 0)) == 1);
+   BOOST_CHECK(cdf(complement(distu01, 1)) == 0);
+   BOOST_CHECK(quantile(distu01, 0) == 0);
+   BOOST_CHECK(quantile(complement(distu01, 0)) == 1);
+   BOOST_CHECK(quantile(distu01, 1) == 1);
+   BOOST_CHECK(quantile(complement(distu01, 1)) == 0);
+
+   // Error checks:
+   if(std::numeric_limits<RealType>::has_quiet_NaN)
+   { // BOOST_CHECK tests for constructing with quiet_NaN (not for real_concept, for example - see notes above).
+     BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(0, std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+     BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(0, -std::numeric_limits<RealType>::quiet_NaN()), std::domain_error);
+   }
+   BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(1, 0), std::domain_error); // lower > upper!
+   BOOST_MATH_CHECK_THROW(uniform_distribution<RealType>(1, 1), std::domain_error); // lower == upper!
+
+   check_out_of_range<uniform_distribution<RealType> >(1, 5);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+  // Check that can construct uniform distribution using the two convenience methods:
+  using namespace boost::math;
+  uniform unistd; // Using typedef
+  // == uniform_distribution<double> unistd;
+  BOOST_CHECK_EQUAL(unistd.lower(), 0); // Check defaults.
+  BOOST_CHECK_EQUAL(unistd.upper(), 1);
+   uniform_distribution<> myu01(0, 1); // Using default RealType double.
+  BOOST_CHECK_EQUAL(myu01.lower(), 0); // Check defaults again.
+  BOOST_CHECK_EQUAL(myu01.upper(), 1);
+
+  // Test on extreme values of random variate x, using just double because it has numeric_limit infinity etc..
+  // No longer allow x to be + or - infinity, then these tests should throw.
+  BOOST_MATH_CHECK_THROW(pdf(unistd, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(pdf(unistd, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+  BOOST_MATH_CHECK_THROW(cdf(unistd, +std::numeric_limits<double>::infinity()), std::domain_error); // x = + infinity
+  BOOST_MATH_CHECK_THROW(cdf(unistd, -std::numeric_limits<double>::infinity()), std::domain_error); // x = - infinity
+
+  BOOST_CHECK_EQUAL(pdf(unistd, +(std::numeric_limits<double>::max)()), 0); // x = + max
+  BOOST_CHECK_EQUAL(pdf(unistd, -(std::numeric_limits<double>::min)()), 0); // x = - min
+  BOOST_CHECK_EQUAL(cdf(unistd, +(std::numeric_limits<double>::max)()), 1); // x = + max
+  BOOST_CHECK_EQUAL(cdf(unistd, -(std::numeric_limits<double>::min)()), 0); // x = - min
+#ifndef BOOST_NO_EXCEPTIONS
+  BOOST_MATH_CHECK_THROW(uniform_distribution<> zinf(0, +std::numeric_limits<double>::infinity()), std::domain_error); // zero to infinity using default RealType double.
+#else
+  BOOST_MATH_CHECK_THROW(uniform_distribution<>(0, +std::numeric_limits<double>::infinity()), std::domain_error); // zero to infinity using default RealType double.
+#endif
+   uniform_distribution<> zmax(0, +(std::numeric_limits<double>::max)()); // zero to max using default RealType double.
+  BOOST_CHECK_EQUAL(zmax.lower(), 0); // Check defaults again.
+  BOOST_CHECK_EQUAL(zmax.upper(), +(std::numeric_limits<double>::max)());
+
+  BOOST_CHECK_EQUAL(pdf(zmax, -1), 0); // pdf is 1/(0 - max) = almost zero for all x
+  BOOST_CHECK_EQUAL(pdf(zmax, 0), (std::numeric_limits<double>::min)()/4); // x = 
+  BOOST_CHECK_EQUAL(pdf(zmax, 1), (std::numeric_limits<double>::min)()/4); // x = 
+  BOOST_MATH_CHECK_THROW(pdf(zmax, +std::numeric_limits<double>::infinity()), std::domain_error); // pdf is 1/(0 - infinity) = zero for all x
+  BOOST_MATH_CHECK_THROW(pdf(zmax, -std::numeric_limits<double>::infinity()), std::domain_error); 
+  BOOST_CHECK_EQUAL(pdf(zmax, +(std::numeric_limits<double>::max)()), (std::numeric_limits<double>::min)()/4); // x = 
+  BOOST_CHECK_EQUAL(pdf(zmax, -(std::numeric_limits<double>::max)()), 0); // x = 
+#ifndef BOOST_NO_EXCEPTIONS
+  // Ensure NaN throws an exception.
+  BOOST_MATH_CHECK_THROW(uniform_distribution<> zNaN(0, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+  BOOST_MATH_CHECK_THROW(pdf(unistd, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+#else
+  BOOST_MATH_CHECK_THROW(uniform_distribution<>(0, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+  BOOST_MATH_CHECK_THROW(pdf(unistd, std::numeric_limits<double>::quiet_NaN()), std::domain_error);
+#endif
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_uniform.exe"
+Running 1 test case...
+Tolerance for type float is 2e-005.
+Tolerance (as fraction) for type float is 5.96046e-007.
+Tolerance for type double is 2e-005.
+Tolerance (as fraction) for type double is 1.11022e-015.
+Tolerance for type long double is 2e-005.
+Tolerance (as fraction) for type long double is 1.11022e-015.
+Tolerance for type class boost::math::concepts::real_concept is 2e-005.
+Tolerance (as fraction) for type class boost::math::concepts::real_concept is 1.11022e-015.
+*** No errors detected
+
+*/
+
+
+
diff --git a/src/boost/libs/math/test/test_value.hpp b/src/boost/libs/math/test/test_value.hpp
new file mode 100644
index 000000000..61a0fd756
--- /dev/null
+++ b/src/boost/libs/math/test/test_value.hpp
@@ -0,0 +1,120 @@
+// Copyright Paul A. Bristow 2017.
+// Copyright John Maddock 2017.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_value.hpp
+
+#ifndef TEST_VALUE_HPP
+#define TEST_VALUE_HPP
+
+// BOOST_MATH_TEST_VALUE is used to create a test value of suitable type from a decimal digit string.
+// Two parameters, both a floating-point literal double like 1.23 (not long double so no suffix L)
+// and a decimal digit string const char* like "1.23" must be provided.
+// The decimal value represented must be the same of course, with at least enough precision for long double.
+//   Note there are two gotchas to this approach:
+// * You need all values to be real floating-point values
+// * and *MUST* include a decimal point (to avoid confusion with an integer literal).
+// * It's slow to compile compared to a simple literal.
+
+// Speed is not an issue for a few test values,
+// but it's not generally usable in large tables
+// where you really need everything to be statically initialized.
+
+// Macro BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE provides a global diagnostic value for create_type.
+
+#include <boost/cstdfloat.hpp> // For float_64_t, float128_t. Must be first include!
+#include <boost/lexical_cast.hpp>
+#include <boost/type_traits/is_constructible.hpp>
+#include <boost/type_traits/is_convertible.hpp>
+
+#ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+// global int create_type(0); must be defined before including this file.
+#endif
+
+#ifdef BOOST_HAS_FLOAT128
+typedef __float128 largest_float;
+#define BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x) x##Q
+#define BOOST_MATH_TEST_LARGEST_FLOAT_DIGITS std::numeric_limits<boost::multiprecision::float128>::digits
+#else
+typedef long double largest_float;
+#define BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x) x##L
+#define BOOST_MATH_TEST_LARGEST_FLOAT_DIGITS std::numeric_limits<long double>::digits
+#endif
+
+template <class T, class T2>
+inline T create_test_value(largest_float val, const char*, const boost::true_type&, const T2&)
+{ // Construct from long double or quad parameter val (ignoring string/const char* str).
+  // (This is case for MPL parameters = true_ and T2 == false_,
+  // and  MPL parameters = true_ and T2 == true_  cpp_bin_float)
+  // All built-in/fundamental floating-point types,
+  // and other User-Defined Types that can be constructed without loss of precision
+  // from long double suffix L (or quad suffix Q),
+  //
+  // Choose this method, even if can be constructed from a string,
+  // because it will be faster, and more likely to be the closest representation.
+  // (This is case for MPL parameters = true_type and T2 == true_type).
+  #ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+  create_type = 1;
+  #endif
+  return static_cast<T>(val);
+}
+
+template <class T>
+inline T create_test_value(largest_float, const char* str, const boost::false_type&, const boost::true_type&)
+{ // Construct from decimal digit string const char* @c str (ignoring long double parameter).
+  // For example, extended precision or other User-Defined types which ARE constructible from a string
+  // (but not from double, or long double without loss of precision).
+  // (This is case for MPL parameters = false_type and T2 == true_type).
+  #ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+  create_type = 2;
+  #endif
+  return T(str);
+}
+
+template <class T>
+inline T create_test_value(largest_float, const char* str, const boost::false_type&, const boost::false_type&)
+{ // Create test value using from lexical cast of decimal digit string const char* str.
+  // For example, extended precision or other User-Defined types which are NOT constructible from a string
+  // (NOR constructible from a long double).
+    // (This is case T1 = false_type and T2 == false_type).
+  #ifdef BOOST_MATH_INSTRUMENT_CREATE_TEST_VALUE
+  create_type = 3;
+  #endif
+  return boost::lexical_cast<T>(str);
+}
+
+// T real type, x a decimal digits representation of a floating-point, for example: 12.34.
+// It must include a decimal point (or it would be interpreted as an integer).
+
+//  x is converted to a long double by appending the letter L (to suit long double fundamental type), 12.34L.
+//  x is also passed as a const char* or string representation "12.34"
+//  (to suit most other types that cannot be constructed from long double without possible loss).
+
+// BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x) makes a long double or quad version, with
+// suffix a letter L (or Q) to suit long double (or quad) fundamental type, 12.34L or 12.34Q.
+// #x makes a decimal digit string version to suit multiprecision and fixed_point constructors, "12.34".
+// (Constructing from double or long double (or quad) could lose precision for multiprecision or fixed-point).
+
+// The matching create_test_value function above is chosen depending on the T1 and T2 mpl bool truths.
+// The string version from #x is used if the precision of T is greater than long double.
+
+// Example: long double test_value = BOOST_MATH_TEST_VALUE(double, 1.23456789);
+
+#define BOOST_MATH_TEST_VALUE(T, x) create_test_value<T>(\
+  BOOST_MATH_TEST_LARGEST_FLOAT_SUFFIX(x),\
+  #x,\
+  boost::integral_constant<bool, \
+    std::numeric_limits<T>::is_specialized &&\
+      (std::numeric_limits<T>::radix == 2)\
+        && (std::numeric_limits<T>::digits <= BOOST_MATH_TEST_LARGEST_FLOAT_DIGITS)\
+        && boost::is_convertible<largest_float, T>::value>(),\
+  boost::integral_constant<bool, \
+    boost::is_constructible<T, const char*>::value>()\
+)
+#endif // TEST_VALUE_HPP
+
+
diff --git a/src/boost/libs/math/test/test_vector_barycentric_rational.cpp b/src/boost/libs/math/test/test_vector_barycentric_rational.cpp
new file mode 100644
index 000000000..ccfaa3b6a
--- /dev/null
+++ b/src/boost/libs/math/test/test_vector_barycentric_rational.cpp
@@ -0,0 +1,385 @@
+// Copyright Nick Thompson, 2019
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#define BOOST_TEST_MODULE vector_barycentric_rational
+
+#include <cmath>
+#include <random>
+#include <array>
+#include <Eigen/Dense>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/random/uniform_real_distribution.hpp>
+#include <boost/type_index.hpp>
+#include <boost/test/included/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/interpolators/barycentric_rational.hpp>
+#include <boost/math/interpolators/vector_barycentric_rational.hpp>
+
+using std::sqrt;
+using std::abs;
+using std::numeric_limits;
+
+template<class Real>
+void test_agreement_with_1d()
+{
+    std::cout << "Testing with 1D interpolation on type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    std::vector<Real> t_copy0 = t;
+    std::vector<Real> t_copy1 = t;
+
+    std::vector<Real> y_copy0(y.size());
+    std::vector<Real> y_copy1(y.size());
+    for (size_t i = 0; i < y.size(); ++i) {
+        y_copy0[i] = y[i][0];
+        y_copy1[i] = y[i][1];
+    }
+
+    boost::random::uniform_real_distribution<Real> dis2(t[0], t[t.size()-1]);
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+    boost::math::barycentric_rational<Real> scalar_interpolator0(std::move(t_copy0), std::move(y_copy0));
+    boost::math::barycentric_rational<Real> scalar_interpolator1(std::move(t_copy1), std::move(y_copy1));
+
+
+    Eigen::Vector2d z;
+
+    size_t samples = 0;
+    while (samples++ < 1000)
+    {
+        Real t = dis2(gen);
+        interpolator(z, t);
+        BOOST_CHECK_CLOSE(z[0], scalar_interpolator0(t), 10000*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], scalar_interpolator1(t), 10000*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_interpolation_condition_eigen()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation on Eigen vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition_std_array()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation on std::array vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<std::array<Real, 2>> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<std::array<Real, 2>> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    std::array<Real, 2> z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_interpolation_condition_ublas()
+{
+    std::cout << "Testing interpolation condition for barycentric interpolation ublas vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(4723);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<boost::numeric::ublas::vector<Real>> y(100);
+    t[0] = dis(gen);
+    y[0].resize(2);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i].resize(2);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Real> t_copy = t;
+    std::vector<boost::numeric::ublas::vector<Real>> y_copy = y;
+
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    boost::numeric::ublas::vector<Real> z(2);
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+template<class Real>
+void test_interpolation_condition_high_order()
+{
+    std::cout << "Testing interpolation condition in high order for barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name()  << "\n";
+    std::mt19937 gen(5);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y), 5);
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        interpolator(z, t_copy[i]);
+        BOOST_CHECK_CLOSE(z[0], y_copy[i][0], 100*numeric_limits<Real>::epsilon());
+        BOOST_CHECK_CLOSE(z[1], y_copy[i][1], 100*numeric_limits<Real>::epsilon());
+    }
+}
+
+
+template<class Real>
+void test_constant_eigen()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on Eigen vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    Real constant0 = dis(gen);
+    Real constant1 = dis(gen);
+    y[0][0] = constant0;
+    y[0][1] = constant1;
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = constant0;
+        y[i][1] = constant1;
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = t_copy[i] + dis(gen);
+        z = interpolator(t);
+        BOOST_CHECK_CLOSE(z[0], constant0, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_CLOSE(z[1], constant1, 100*sqrt(numeric_limits<Real>::epsilon()));
+        Eigen::Vector2d zprime = interpolator.prime(t);
+        Real zero_0 = zprime[0];
+        Real zero_1 = zprime[1];
+        BOOST_CHECK_SMALL(zero_0, sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(zero_1, sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_constant_std_array()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on std::array vectors of type "
+              << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<std::array<Real, 2>> y(100);
+    t[0] = dis(gen);
+    Real constant0 = dis(gen);
+    Real constant1 = dis(gen);
+    y[0][0] = constant0;
+    y[0][1] = constant1;
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = constant0;
+        y[i][1] = constant1;
+    }
+
+    std::vector<std::array<Real,2>> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y));
+
+    std::array<Real, 2> z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = t_copy[i] + dis(gen);
+        z = interpolator(t);
+        BOOST_CHECK_CLOSE(z[0], constant0, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_CLOSE(z[1], constant1, 100*sqrt(numeric_limits<Real>::epsilon()));
+        std::array<Real, 2> zprime = interpolator.prime(t);
+        Real zero_0 = zprime[0];
+        Real zero_1 = zprime[1];
+        BOOST_CHECK_SMALL(zero_0, sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(zero_1, sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_constant_high_order()
+{
+    std::cout << "Testing that constants are interpolated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(6);
+    boost::random::uniform_real_distribution<Real> dis(0.1f, 1);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    Real constant0 = dis(gen);
+    Real constant1 = dis(gen);
+    y[0][0] = constant0;
+    y[0][1] = constant1;
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = constant0;
+        y[i][1] = constant1;
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::vector_barycentric_rational<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y), 5);
+
+    Eigen::Vector2d z;
+    for (size_t i = 0; i < t_copy.size(); ++i)
+    {
+        // Don't evaluate the constant at x[i]; that's already tested in the interpolation condition test.
+        Real t = t_copy[i] + dis(gen);
+        z = interpolator(t);
+        BOOST_CHECK_CLOSE(z[0], constant0, 100*sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_CLOSE(z[1], constant1, 100*sqrt(numeric_limits<Real>::epsilon()));
+        Eigen::Vector2d zprime = interpolator.prime(t);
+        Real zero_0 = zprime[0];
+        Real zero_1 = zprime[1];
+        BOOST_CHECK_SMALL(zero_0, sqrt(numeric_limits<Real>::epsilon()));
+        BOOST_CHECK_SMALL(zero_1, sqrt(numeric_limits<Real>::epsilon()));
+    }
+}
+
+
+template<class Real>
+void test_weights()
+{
+    std::cout << "Testing weights are calculated correctly using barycentric interpolation on type " << boost::typeindex::type_id<Real>().pretty_name() << "\n";
+
+    std::mt19937 gen(9);
+    boost::random::uniform_real_distribution<Real> dis(0.005, 0.01);
+    std::vector<Real> t(100);
+    std::vector<Eigen::Vector2d> y(100);
+    t[0] = dis(gen);
+    y[0][0] = dis(gen);
+    y[0][1] = dis(gen);
+    for (size_t i = 1; i < t.size(); ++i)
+    {
+        t[i] = t[i-1] + dis(gen);
+        y[i][0] = dis(gen);
+        y[i][1] = dis(gen);
+    }
+
+    std::vector<Eigen::Vector2d> y_copy = y;
+    std::vector<Real> t_copy = t;
+    boost::math::detail::vector_barycentric_rational_imp<decltype(t), decltype(y)> interpolator(std::move(t), std::move(y), 1);
+
+    for (size_t i = 1; i < t_copy.size() - 1; ++i)
+    {
+        Real w = interpolator.weight(i);
+        Real w_expect = 1/(t_copy[i] - t_copy[i - 1]) + 1/(t_copy[i+1] - t_copy[i]);
+        if (i % 2 == 0)
+        {
+            BOOST_CHECK_CLOSE(w, -w_expect, 0.00001);
+        }
+        else
+        {
+            BOOST_CHECK_CLOSE(w, w_expect, 0.00001);
+        }
+    }
+}
+
+
+BOOST_AUTO_TEST_CASE(vector_barycentric_rational)
+{
+    test_weights<double>();
+    test_constant_eigen<double>();
+    test_constant_std_array<double>();
+    test_constant_high_order<double>();
+    test_interpolation_condition_eigen<double>();
+    test_interpolation_condition_ublas<double>();
+    test_interpolation_condition_std_array<double>();
+    test_interpolation_condition_high_order<double>();
+    test_agreement_with_1d<double>();
+}
diff --git a/src/boost/libs/math/test/test_weibull.cpp b/src/boost/libs/math/test/test_weibull.cpp
new file mode 100644
index 000000000..a049a3553
--- /dev/null
+++ b/src/boost/libs/math/test/test_weibull.cpp
@@ -0,0 +1,404 @@
+// Copyright John Maddock 2006, 2012.
+// Copyright Paul A. Bristow 2007, 2012.
+
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// test_weibull.cpp
+
+#ifdef _MSC_VER
+#  pragma warning (disable : 4127) //  conditional expression is constant.
+#endif
+
+
+#include <boost/math/concepts/real_concept.hpp> // for real_concept
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp> // Boost.Test
+#include <boost/test/tools/floating_point_comparison.hpp>
+
+#include <boost/math/distributions/weibull.hpp>
+    using boost::math::weibull_distribution;
+#include <boost/math/tools/test.hpp> 
+#include "test_out_of_range.hpp"
+
+#include <iostream>
+   using std::cout;
+   using std::endl;
+   using std::setprecision;
+#include <limits>
+  using std::numeric_limits;
+
+template <class RealType>
+void check_weibull(RealType shape, RealType scale, RealType x, RealType p, RealType q, RealType tol)
+{
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         weibull_distribution<RealType>(shape, scale),       // distribution.
+         x),                                            // random variable.
+         p,                                             // probability.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::cdf(
+         complement(
+            weibull_distribution<RealType>(shape, scale),    // distribution.
+            x)),                                        // random variable.
+         q,                                             // probability complement.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         weibull_distribution<RealType>(shape, scale),       // distribution.
+         p),                                            // probability.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+   BOOST_CHECK_CLOSE(
+      ::boost::math::quantile(
+         complement(
+            weibull_distribution<RealType>(shape, scale),    // distribution.
+            q)),                                        // probability complement.
+         x,                                             // random variable.
+         tol);                                          // %tolerance.
+}
+
+template <class RealType>
+void test_spots(RealType)
+{
+   // Basic sanity checks
+   //
+   // These test values were generated for the normal distribution
+   // using the online calculator at 
+   // http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   //
+   // Tolerance is just over 5 decimal digits expressed as a percentage:
+   // that's the limit of the test data.
+   RealType tolerance = 2e-5f * 100;  
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+
+   using std::exp;
+
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(0.487646),   // p
+      static_cast<RealType>(1-0.487646),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(1-0.367879),   // p
+      static_cast<RealType>(0.367879),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(1-0.304463),   // p
+      static_cast<RealType>(0.304463),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(1-0.243117),   // p
+      static_cast<RealType>(0.243117),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.25),     // shape
+      static_cast<RealType>(0.5),     // scale
+      static_cast<RealType>(5),     // x
+      static_cast<RealType>(1-0.168929),   // p
+      static_cast<RealType>(0.168929),   // q
+      tolerance);
+
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(0.200371),   // p
+      static_cast<RealType>(1-0.200371),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(0.393469),   // p
+      static_cast<RealType>(1-0.393469),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(1-0.493069),   // p
+      static_cast<RealType>(0.493069),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(1-0.367879),   // p
+      static_cast<RealType>(0.367879),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(0.5),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(5),     // x
+      static_cast<RealType>(1-0.205741),   // p
+      static_cast<RealType>(0.205741),   // q
+      tolerance);
+
+   check_weibull(
+      static_cast<RealType>(2),     // shape
+      static_cast<RealType>(0.25),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(0.147856),   // p
+      static_cast<RealType>(1-0.147856),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(2),     // shape
+      static_cast<RealType>(0.25),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(1-0.018316),   // p
+      static_cast<RealType>(0.018316),   // q
+      tolerance);
+
+   /*
+   This test value came from 
+   http://espse.ed.psu.edu/edpsych/faculty/rhale/hale/507Mat/statlets/free/pdist.htm
+   but appears to be grossly incorrect: certainly it does not agree with the values
+   I get from pushing numbers into a calculator (0.0001249921878255106610615995196123).   
+   Strangely other test values generated for the same shape and scale parameters do look OK.
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.1),     // x
+      static_cast<RealType>(1.25E-40),   // p
+      static_cast<RealType>(1-1.25E-40),   // q
+      tolerance);
+      */
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(0.5),     // x
+      static_cast<RealType>(0.015504),   // p
+      static_cast<RealType>(1-0.015504),   // q
+      tolerance * 10); // few digits in test value
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(1),     // x
+      static_cast<RealType>(0.117503),   // p
+      static_cast<RealType>(1-0.117503),   // q
+      tolerance);
+   check_weibull(
+      static_cast<RealType>(3),     // shape
+      static_cast<RealType>(2),     // scale
+      static_cast<RealType>(2),     // x
+      static_cast<RealType>(1-0.367879),   // p
+      static_cast<RealType>(0.367879),   // q
+      tolerance);
+
+   //
+   // Tests for PDF
+   //
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.25, 0.5), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.856579), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.25, 0.5), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.183940), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.25, 0.5), static_cast<RealType>(5)), 
+      static_cast<RealType>(0.015020), 
+      tolerance * 10); // fewer digits in test value
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.5, 2), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(0.894013), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.5, 2), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.303265), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(0.5, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.174326), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(2, 0.25), static_cast<RealType>(0.1)), 
+      static_cast<RealType>(2.726860), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(2, 0.25), static_cast<RealType>(0.5)), 
+      static_cast<RealType>(0.293050), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(3, 2), static_cast<RealType>(1)), 
+      static_cast<RealType>(0.330936), 
+      tolerance);
+   BOOST_CHECK_CLOSE(
+      pdf(weibull_distribution<RealType>(3, 2), static_cast<RealType>(2)), 
+      static_cast<RealType>(0.551819), 
+      tolerance);
+
+   //
+   // These test values were obtained using the formulas at 
+   // http://en.wikipedia.org/wiki/Weibull_distribution
+   // which are subtly different to (though mathematically
+   // the same as) the ones on the Mathworld site
+   // http://mathworld.wolfram.com/WeibullDistribution.html
+   // which are the ones used in the implementation.
+   // The assumption is that if both computation methods
+   // agree then the implementation is probably correct...
+   // What's not clear is which method is more accurate.
+   //
+   tolerance = (std::max)(
+      boost::math::tools::epsilon<RealType>(),
+      static_cast<RealType>(boost::math::tools::epsilon<double>())) * 5 * 100; // 5 eps as a percentage
+   cout << "Tolerance for type " << typeid(RealType).name()  << " is " << tolerance << " %" << endl;
+   weibull_distribution<RealType> dist(2, 3);
+   RealType x = static_cast<RealType>(0.125);
+
+   BOOST_MATH_STD_USING // ADL of std lib math functions
+
+   // mean:
+   BOOST_CHECK_CLOSE(
+      mean(dist)
+      , dist.scale() * boost::math::tgamma(1 + 1 / dist.shape()), tolerance);
+   // variance:
+   BOOST_CHECK_CLOSE(
+      variance(dist)
+      , dist.scale() * dist.scale() * boost::math::tgamma(1 + 2 / dist.shape()) - mean(dist) * mean(dist), tolerance);
+   // std deviation:
+   BOOST_CHECK_CLOSE(
+    standard_deviation(dist)
+    , sqrt(variance(dist)), tolerance);
+   // hazard:
+   BOOST_CHECK_CLOSE(
+    hazard(dist, x)
+    , pdf(dist, x) / cdf(complement(dist, x)), tolerance);
+   // cumulative hazard:
+   BOOST_CHECK_CLOSE(
+    chf(dist, x)
+    , -log(cdf(complement(dist, x))), tolerance);
+   // coefficient_of_variation:
+   BOOST_CHECK_CLOSE(
+    coefficient_of_variation(dist)
+    , standard_deviation(dist) / mean(dist), tolerance);
+   // mode:
+   BOOST_CHECK_CLOSE(
+    mode(dist)
+    , dist.scale() * pow((dist.shape() - 1) / dist.shape(), 1/dist.shape()), tolerance);
+   // median:
+   BOOST_CHECK_CLOSE(
+    median(dist)
+    , dist.scale() * pow(log(static_cast<RealType>(2)), 1 / dist.shape()), tolerance);
+   // skewness:
+   BOOST_CHECK_CLOSE(
+    skewness(dist), 
+    (boost::math::tgamma(1 + 3/dist.shape()) * pow(dist.scale(), RealType(3)) - 3 * mean(dist) * variance(dist) - pow(mean(dist), RealType(3))) / pow(standard_deviation(dist), RealType(3)), 
+    tolerance * 100);
+   // kurtosis:
+   BOOST_CHECK_CLOSE(
+    kurtosis(dist)
+    , kurtosis_excess(dist) + 3, tolerance);
+   // kurtosis excess:
+   BOOST_CHECK_CLOSE(
+    kurtosis_excess(dist), 
+    (pow(dist.scale(), RealType(4)) * boost::math::tgamma(1 + 4/dist.shape()) 
+         - 3 * variance(dist) * variance(dist) 
+         - 4 * skewness(dist) * variance(dist) * standard_deviation(dist) * mean(dist)
+         - 6 * variance(dist) * mean(dist) * mean(dist) 
+         - pow(mean(dist), RealType(4))) / (variance(dist) * variance(dist)), 
+    tolerance * 1000);
+
+   RealType expected_entropy = boost::math::constants::euler<RealType>()*(1-1/dist.shape()) + log(dist.scale()/dist.shape()) + 1;
+   BOOST_CHECK_CLOSE(
+    entropy(dist)
+    , expected_entropy, tolerance);
+
+   //
+   // Special cases:
+   //
+   BOOST_CHECK(cdf(dist, 0) == 0);
+   BOOST_CHECK(cdf(complement(dist, 0)) == 1);
+   BOOST_CHECK(quantile(dist, 0) == 0);
+   BOOST_CHECK(quantile(complement(dist, 1)) == 0);
+
+   BOOST_CHECK_EQUAL(pdf(weibull_distribution<RealType>(1, 1), 0), 1);
+
+   //
+   // Error checks:
+   //
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(1, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(-1, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(1, 0), std::domain_error);
+   BOOST_MATH_CHECK_THROW(weibull_distribution<RealType>(0, 1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, 1), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, 0)), std::overflow_error);
+   BOOST_MATH_CHECK_THROW(quantile(dist, -1), std::domain_error);
+   BOOST_MATH_CHECK_THROW(quantile(complement(dist, -1)), std::domain_error);
+
+   BOOST_CHECK_EQUAL(pdf(dist, 0), exp(-pow(RealType(0) / RealType(3), RealType(2))) * pow(RealType(0), RealType(1)) * RealType(2) / RealType(3));
+   BOOST_CHECK_EQUAL(pdf(weibull_distribution<RealType>(1, 3), 0), exp(-pow(RealType(0) / RealType(3), RealType(1))) * pow(RealType(0), RealType(0)) * RealType(1) / RealType(3));
+   BOOST_MATH_CHECK_THROW(pdf(weibull_distribution<RealType>(0.5, 3), 0), std::overflow_error);
+
+   check_out_of_range<weibull_distribution<RealType> >(1, 1);
+} // template <class RealType>void test_spots(RealType)
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+
+  // Check that can construct weibull distribution using the two convenience methods:
+  using namespace boost::math;
+  weibull myw1(2); // Using typedef
+   weibull_distribution<> myw2(2); // Using default RealType double.
+
+    // Basic sanity-check spot values.
+   // (Parameter value, arbitrarily zero, only communicates the floating point type).
+  test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
+  test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+  test_spots(0.0L); // Test long double.
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
+  test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
+#endif
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   
+} // BOOST_AUTO_TEST_CASE( test_main )
+
+/*
+
+Output:
+
+  Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_weibull.exe"
+  Running 1 test case...
+  Tolerance for type float is 0.002 %
+  Tolerance for type float is 5.96046e-005 %
+  Tolerance for type double is 0.002 %
+  Tolerance for type double is 1.11022e-013 %
+  Tolerance for type long double is 0.002 %
+  Tolerance for type long double is 1.11022e-013 %
+  Tolerance for type class boost::math::concepts::real_concept is 0.002 %
+  Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 %
+  
+  *** No errors detected
+
+
+*/
+
+
+
+
diff --git a/src/boost/libs/math/test/test_zeta.cpp b/src/boost/libs/math/test/test_zeta.cpp
new file mode 100644
index 000000000..1182aa77a
--- /dev/null
+++ b/src/boost/libs/math/test/test_zeta.cpp
@@ -0,0 +1,133 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include "pch_light.hpp"
+#ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
+#  define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
+#endif
+#include "test_zeta.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the zeta function. There are two sets of tests:
+// 1) Sanity checks: comparison to test values created with the
+// online calculator at functions.wolfram.com
+// 2) Accuracy tests use values generated with NTL::RR at 
+// 1000-bit precision and our generic versions of these functions.
+//
+// Note that when this file is first run on a new platform many of
+// these tests will fail: the default accuracy is 1 epsilon which
+// is too tight for most platforms.  In this situation you will 
+// need to cast a human eye over the error rates reported and make
+// a judgement as to whether they are acceptable.  Either way please
+// report the results to the Boost mailing list.  Acceptable rates of
+// error are marked up below as a series of regular expressions that
+// identify the compiler/stdlib/platform/data-type/test-data/test-function
+// along with the maximum expected peek and RMS mean errors for that
+// test.
+//
+
+void expected_results()
+{
+   //
+   // Define the max and mean errors expected for
+   // various compilers and platforms.
+   //
+   const char* largest_type;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
+   {
+      largest_type = "(long\\s+)?double";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Random values less than 1", // test data group
+      ".*", 1200, 500);              // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Random values less than 1", // test data group
+      ".*", 1200, 500);              // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Integer.*",                 // test data group
+      ".*", 30, 15);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 3, 3);                   // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                 // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 60, 15);                  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*",                          // test data group
+      ".*", 40, 15);                  // test function
+
+   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
+      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+   test_spots(0.0f, "float");
+   test_spots(0.0, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_spots(0.0L, "long double");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+
+   test_zeta(0.1F, "float");
+   test_zeta(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_zeta(0.1L, "long double");
+   test_zeta(boost::math::concepts::real_concept(0.1), "real_concept");
+#else
+   std::cout << "<note>The long double tests have been disabled on this platform "
+      "either because the long double overloads of the usual math functions are "
+      "not available at all, or because they are too inaccurate for these tests "
+      "to pass.</note>" << std::endl;
+#endif
+   
+}
+
+
+
diff --git a/src/boost/libs/math/test/test_zeta.hpp b/src/boost/libs/math/test/test_zeta.hpp
new file mode 100644
index 000000000..52d92810c
--- /dev/null
+++ b/src/boost/libs/math/test/test_zeta.hpp
@@ -0,0 +1,177 @@
+// Copyright John Maddock 2006.
+// Copyright Paul A. Bristow 2007, 2009
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/math/concepts/real_concept.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#define BOOST_TEST_MAIN
+#include <boost/test/unit_test.hpp>
+#include <boost/test/tools/floating_point_comparison.hpp>
+#include <boost/math/tools/stats.hpp>
+#include <boost/math/tools/test.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/type_traits/is_floating_point.hpp>
+#include <boost/array.hpp>
+#include "functor.hpp"
+
+#include "handle_test_result.hpp"
+#include "table_type.hpp"
+
+#ifndef SC_
+#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
+#endif
+
+template <class Real, class T>
+void do_test_zeta(const T& data, const char* type_name, const char* test_name)
+{
+#if !(defined(ERROR_REPORTING_MODE) && !defined(ZETA_FUNCTION_TO_TEST))
+   //
+   // test zeta(T) against data:
+   //
+   using namespace std;
+   typedef Real                   value_type;
+
+   std::cout << test_name << " with type " << type_name << std::endl;
+
+   typedef value_type (*pg)(value_type);
+#ifdef ZETA_FUNCTION_TO_TEST
+   pg funcp = ZETA_FUNCTION_TO_TEST;
+#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
+   pg funcp = boost::math::zeta<value_type>;
+#else
+   pg funcp = boost::math::zeta;
+#endif
+
+   boost::math::tools::test_result<value_type> result;
+   //
+   // test zeta against data:
+   //
+   result = boost::math::tools::test_hetero<Real>(
+      data,
+      bind_func<Real>(funcp, 0),
+      extract_result<Real>(1));
+   handle_test_result(result, data[result.worst()], result.worst(), type_name, "zeta", test_name);
+   std::cout << std::endl;
+#endif
+}
+template <class T>
+void test_zeta(T, const char* name)
+{
+   //
+   // The actual test data is rather verbose, so it's in a separate file
+   //
+#include "zeta_data.ipp"
+   do_test_zeta<T>(zeta_data, name, "Zeta: Random values greater than 1");
+#include "zeta_neg_data.ipp"
+   do_test_zeta<T>(zeta_neg_data, name, "Zeta: Random values less than 1");
+#include "zeta_1_up_data.ipp"
+   do_test_zeta<T>(zeta_1_up_data, name, "Zeta: Values close to and greater than 1");
+#include "zeta_1_below_data.ipp"
+   do_test_zeta<T>(zeta_1_below_data, name, "Zeta: Values close to and less than 1");
+
+   boost::array<boost::array<typename table_type<T>::type, 2>, 90> integer_data = { {
+      {{ SC_(2.0), SC_(1.6449340668482264364724151666460252) }}, {{ SC_(3.0), SC_(1.2020569031595942853997381615114500) }}, {{ SC_(4.0), SC_(1.0823232337111381915160036965411679) }}, {{ SC_(5.0), SC_(1.0369277551433699263313654864570342) }}, {{ SC_(6.0), SC_(1.0173430619844491397145179297909205) }}, {{ SC_(7.0), SC_(1.0083492773819228268397975498497968) }}, {{ SC_(8.0), SC_(1.0040773561979443393786852385086525) }}, {{ SC_(9.0), SC_(1.0020083928260822144178527692324121) }}, {{ SC_(10.0), SC_(1.0009945751278180853371459589003190) }}, {{ SC_(11.0), SC_(1.0004941886041194645587022825264699) }}, {{ SC_(12.0), SC_(1.0002460865533080482986379980477397) }}, {{ SC_(13.0), SC_(1.0001227133475784891467518365263574) }}, {{ SC_(14.0), SC_(1.0000612481350587048292585451051353) }}, {{ SC_(15.0), SC_(1.0000305882363070204935517285106451) }}, {{ SC_(16.0), SC_(1.0000152822594086518717325714876367) }}, {{ SC_(17.0), SC_(1.0000076371976378997622736002935630) }}, {{ SC_(18.0), SC_(1.0000038172932649998398564616446219) }}, {{ SC_(19.0), SC_(1.0000019082127165539389256569577951) }}, {{ SC_(20.0), SC_(1.0000009539620338727961131520386834) }}, {{ SC_(21.0), SC_(1.0000004769329867878064631167196044) }}, {{ SC_(22.0), SC_(1.0000002384505027277329900036481868) }}, {{ SC_(23.0), SC_(1.0000001192199259653110730677887189) }}, {{ SC_(24.0), SC_(1.0000000596081890512594796124402079) }}, {{ SC_(25.0), SC_(1.0000000298035035146522801860637051) }}, {{ SC_(26.0), SC_(1.0000000149015548283650412346585066) }}, {{ SC_(27.0), SC_(1.0000000074507117898354294919810042) }}, {{ SC_(28.0), SC_(1.0000000037253340247884570548192040) }}, {{ SC_(29.0), SC_(1.0000000018626597235130490064039099) }}, {{ SC_(30.0), SC_(1.0000000009313274324196681828717647) }}, {{ SC_(31.0), SC_(1.0000000004656629065033784072989233) }}, {{ SC_(32.0), SC_(1.0000000002328311833676505492001456) }}, {{ SC_(33.0), SC_(1.0000000001164155017270051977592974) }}, {{ SC_(34.0), SC_(1.0000000000582077208790270088924369) }}, {{ SC_(35.0), SC_(1.0000000000291038504449709968692943) }}, {{ SC_(36.0), SC_(1.0000000000145519218910419842359296) }}, {{ SC_(37.0), SC_(1.0000000000072759598350574810145209) }}, {{ SC_(38.0), SC_(1.0000000000036379795473786511902372) }}, {{ SC_(39.0), SC_(1.0000000000018189896503070659475848) }}, {{ SC_(40.0), SC_(1.0000000000009094947840263889282533) }}, {{ SC_(41.0), SC_(1.0000000000004547473783042154026799) }}, {{ SC_(42.0), SC_(1.0000000000002273736845824652515227) }}, {{ SC_(43.0), SC_(1.0000000000001136868407680227849349) }}, {{ SC_(44.0), SC_(1.0000000000000568434198762758560928) }}, {{ SC_(45.0), SC_(1.0000000000000284217097688930185546) }}, {{ SC_(46.0), SC_(1.0000000000000142108548280316067698) }}, {{ SC_(47.0), SC_(1.0000000000000071054273952108527129) }}, {{ SC_(48.0), SC_(1.0000000000000035527136913371136733) }}, {{ SC_(49.0), SC_(1.0000000000000017763568435791203275) }}, {{ SC_(50.0), SC_(1.0000000000000008881784210930815903) }}, {{ SC_(51.0), SC_(1.0000000000000004440892103143813364) }}, {{ SC_(52.0), SC_(1.0000000000000002220446050798041984) }}, {{ SC_(53.0), SC_(1.0000000000000001110223025141066134) }}, {{ SC_(54.0), SC_(1.0000000000000000555111512484548124) }}, {{ SC_(55.0), SC_(1.0000000000000000277555756213612417) }}, {{ SC_(56.0), SC_(1.0000000000000000138777878097252328) }}, {{ SC_(57.0), SC_(1.0000000000000000069388939045441537) }}, {{ SC_(58.0), SC_(1.0000000000000000034694469521659226) }}, {{ SC_(59.0), SC_(1.0000000000000000017347234760475766) }}, {{ SC_(60.0), SC_(1.0000000000000000008673617380119934) }},
+      {{ SC_(-61.0), SC_(-3.3066089876577576725680214670439210e34) }}, {{ SC_(-59.0), SC_(3.5666582095375556109684574608651829e32) }}, {{ SC_(-57.0), SC_(-4.1147288792557978697665486067619336e30) }}, {{ SC_(-55.0), SC_(5.0890659468662289689766332915911925e28) }}, {{ SC_(-53.0), SC_(-6.7645882379292820990945242301798478e26) }}, {{ SC_(-51.0), SC_(9.6899578874635940656497942894654088e24) }}, {{ SC_(-49.0), SC_(-1.5001733492153928733711440151515152e23) }}, {{ SC_(-47.0), SC_(2.5180471921451095697089023320225526e21) }}, {{ SC_(-45.0), SC_(-4.5979888343656503490437943262411348e19) }}, {{ SC_(-43.0), SC_(9.1677436031953307756992753623188406e17) }}, {{ SC_(-41.0), SC_(-2.0040310656516252738108421663238939e16) }}, {{ SC_(-39.0), SC_(4.8241448354850170371581670362158167e14) }}, {{ SC_(-37.0), SC_(-1.2850850499305083333333333333333333e13) }}, {{ SC_(-35.0), SC_(3.8087931125245368811553022079337869e11) }}, {{ SC_(-33.0), SC_(-1.2635724795916666666666666666666667e10) }}, {{ SC_(-31.0), SC_(4.7238486772162990196078431372549020e8) }}, {{ SC_(-29.0), SC_(-2.0052695796688078946143462272494531e7) }}, {{ SC_(-27.0), SC_(974936.82385057471264367816091954023) }}, {{ SC_(-25.0), SC_(-54827.583333333333333333333333333333) }}, {{ SC_(-23.0), SC_(3607.5105463980463980463980463980464) }}, {{ SC_(-21.0), SC_(-281.46014492753623188405797101449275) }}, {{ SC_(-19.0), SC_(26.456212121212121212121212121212121) }}, {{ SC_(-17.0), SC_(-3.0539543302701197438039543302701197) }}, {{ SC_(-15.0), SC_(0.44325980392156862745098039215686275) }}, {{ SC_(-13.0), SC_(-0.083333333333333333333333333333333333) }}, {{ SC_(-11.0), SC_(0.021092796092796092796092796092796093) }}, {{ SC_(-9.0), SC_(-0.0075757575757575757575757575757575758) }}, {{ SC_(-7.0), SC_(0.0041666666666666666666666666666666667) }}, {{ SC_(-5.0), SC_(-0.0039682539682539682539682539682539683) }}, {{ SC_(-3.0), SC_(0.0083333333333333333333333333333333333) }}, {{ SC_(-1.0), SC_(-0.083333333333333333333333333333333333) }}
+   } };
+   do_test_zeta<T>(integer_data, name, "Zeta: Integer arguments");
+}
+
+extern "C" double zetac(double);
+
+template <class T>
+void test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is either 5 or 10 epsilon 
+   // expressed as a percentage:
+   //
+   BOOST_MATH_STD_USING
+   T tolerance = boost::math::tools::epsilon<T>() * 100 *
+      (boost::is_floating_point<T>::value ? 5 : 10);
+   // An extra fudge factor for real_concept which has a less accurate tgamma:
+   T tolerance_tgamma_extra = std::numeric_limits<T>::is_specialized ? 1 : 10;
+
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(0.125)), static_cast<T>(-0.63277562349869525529352526763564627152686379131122L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(1023) / static_cast<T>(1024)), static_cast<T>(-1023.4228554489429786541032870895167448906103303056L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(1025) / static_cast<T>(1024)), static_cast<T>(1024.5772867695045940578681624248887776501597556226L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(0.5)), static_cast<T>(-1.46035450880958681288949915251529801246722933101258149054289L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(1.125)), static_cast<T>(8.5862412945105752999607544082693023591996301183069L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(2)), static_cast<T>(1.6449340668482264364724151666460251892189499012068L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(3.5)), static_cast<T>(1.1267338673170566464278124918549842722219969574036L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(4)), static_cast<T>(1.08232323371113819151600369654116790277475095191872690768298L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(4 + static_cast<T>(1) / 1024), static_cast<T>(1.08225596856391369799036835439238249195298434901488518878804L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(4.5)), static_cast<T>(1.05470751076145426402296728896028011727249383295625173068468L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(6.5)), static_cast<T>(1.01200589988852479610078491680478352908773213619144808841031L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(7.5)), static_cast<T>(1.00582672753652280770224164440459408011782510096320822989663L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(8.125)), static_cast<T>(1.0037305205308161603183307711439385250181080293472L), 2 * tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(16.125)), static_cast<T>(1.0000140128224754088474783648500235958510030511915L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(0)), static_cast<T>(-0.5L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-0.125)), static_cast<T>(-0.39906966894504503550986928301421235400280637468895L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-1)), static_cast<T>(-0.083333333333333333333333333333333333333333333333333L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-2)), static_cast<T>(0L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-2.5)), static_cast<T>(0.0085169287778503305423585670283444869362759902200745L), tolerance * 3);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-3)), static_cast<T>(0.0083333333333333333333333333333333333333333333333333L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-4)), static_cast<T>(0), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-20)), static_cast<T>(0), tolerance * 100);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-21)), static_cast<T>(-281.46014492753623188405797101449275362318840579710L), tolerance * 100);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-30.125)), static_cast<T>(2.2762941726834511267740045451463455513839970804578e7L), tolerance * 100);
+   // Very small values:
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -20)), static_cast<T>(-0.500000876368989859479646132126454890645615288202492097957612L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -21)), static_cast<T>(-0.500000438184266833093492063649184012943132422189989164545507L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -22)), static_cast<T>(-0.500000219092076392425852854644256723571669269957526445270374L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -23)), static_cast<T>(-0.500000109546023940187789325464529558825433290921168958481804L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -24)), static_cast<T>(-0.500000054773008406088246161057525197302821575823476487961574L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -25)), static_cast<T>(-0.500000027386503312042790426817221131071450407798601059264341L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -26)), static_cast<T>(-0.500000013693251433271071983943082871935521396740331377486886L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -27)), static_cast<T>(-0.500000006846625660947956426350389518286874288247134329498289L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -28)), static_cast<T>(-0.500000003423312816552083476988056486473169377162409806781384L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -29)), static_cast<T>(-0.500000001711656404795568073849512135664960180586820144333542L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -30)), static_cast<T>(-0.500000000855828201527665623188910582717329375986726355164261L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -31)), static_cast<T>(-0.500000000427914100546303208463654361814800355929815322493143L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -32)), static_cast<T>(-0.500000000213957050218769203487022003676593508474107873788445L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -33)), static_cast<T>(-0.500000000106978525095789001562046589421133388262409441738089L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(ldexp(static_cast<T>(1), -34)), static_cast<T>(-0.500000000053489262544495600736249301842352101231724731340202L), tolerance);
+
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -20)), static_cast<T>(-0.499999123632834911086872289657767335473025908373776645822722L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -21)), static_cast<T>(-0.499999561816189359548137231641582253243376087534976981434190L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -22)), static_cast<T>(-0.499999780908037655734554449793729262345041281451929584703788L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -23)), static_cast<T>(-0.499999890454004571852312499433422838864632848598847415933664L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -24)), static_cast<T>(-0.499999945226998721921779295091241395945379526155584220813497L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -25)), static_cast<T>(-0.499999972613498469959715937215237923104705216198368099221577L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -26)), static_cast<T>(-0.499999986306749012229554607064736104475024094525587925697276L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -27)), static_cast<T>(-0.499999993153374450427200221401546739119918746163907954406855L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -28)), static_cast<T>(-0.499999996576687211291705684949926422460038672790251466963619L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -29)), static_cast<T>(-0.499999998288343602165379216634983519354686193860717726606017L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -30)), static_cast<T>(-0.499999999144171800212571199432213326524228740247618955829902L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -31)), static_cast<T>(-0.499999999572085899888755997191626615213504580792674808876724L), tolerance * tolerance_tgamma_extra);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -32)), static_cast<T>(-0.499999999786042949889995597926798240562852438685508646794693L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -33)), static_cast<T>(-0.499999999893021474931402198791408471637626205588681812641711L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::zeta(-ldexp(static_cast<T>(1), -34)), static_cast<T>(-0.499999999946510737462302199352114463422268928922372277519378L), tolerance);
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable:4127 4756)
+#endif
+   //
+   // Very large negative values need special handling in our code, test them here, due to a bug report by Rocco Romeo:
+   //
+   BOOST_CHECK_EQUAL(::boost::math::zeta(static_cast<T>(-200)), static_cast<T>(0));
+   if(std::numeric_limits<T>::max_exponent >= 1024)
+   {
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-171)), static_cast<T>(1.28194898634822427378088228065956967928127061276520385040051e172L), tolerance * 200);
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-171.5)), static_cast<T>(4.73930233055054501360661283732419615206017226423071857829425e172L), tolerance * 1000);
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-172.5)), static_cast<T>(-1.30113885243175165293156588942160456456090687128236657847674e174L), tolerance * 100);
+      BOOST_CHECK_CLOSE(::boost::math::zeta(static_cast<T>(-173)), static_cast<T>(-9.66241211085609184243169684777934860657838245104636064505158e174L), tolerance * 100);
+   }
+   if(std::numeric_limits<T>::has_infinity)
+   {
+      BOOST_CHECK_EQUAL(::boost::math::zeta(static_cast<T>(-10007)), std::numeric_limits<T>::infinity());
+      BOOST_CHECK_EQUAL(::boost::math::zeta(static_cast<T>(-10009)), -std::numeric_limits<T>::infinity());
+   }
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+}
+
diff --git a/src/boost/libs/math/test/test_zeta_hooks.hpp b/src/boost/libs/math/test/test_zeta_hooks.hpp
new file mode 100644
index 000000000..087d87d3e
--- /dev/null
+++ b/src/boost/libs/math/test/test_zeta_hooks.hpp
@@ -0,0 +1,56 @@
+//  (C) Copyright John Maddock 2006.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+#define BOOST_MATH_TEST_ZETA_OTHER_HOOKS_HPP
+
+
+#ifdef TEST_CEPHES
+namespace other{
+extern "C" {
+   double zetac(double);
+   float zetacf(float);
+   long double zetacl(long double);
+}
+inline float zeta(float a)
+{ return 1 + zetac(a); }
+inline double zeta(double a)
+{ return 1 + zetac(a); }
+inline long double zeta(long double a)
+{
+#ifdef BOOST_MSVC
+   return 1 + zetac((double)a); 
+#else
+   return zetacl(a); 
+#endif
+}
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_GSL
+#include <gsl/gsl_sf_zeta.h>
+
+namespace other{
+inline float zeta(float a)
+{ return (float)gsl_sf_zeta(a); }
+inline double zeta(double a)
+{ return gsl_sf_zeta(a); }
+inline long double zeta(long double a)
+{ return gsl_sf_zeta(a); }
+}
+#define TEST_OTHER
+#endif
+
+#ifdef TEST_OTHER
+namespace other{
+   boost::math::concepts::real_concept zeta(boost::math::concepts::real_concept){ return 0; }
+}
+#endif
+
+
+#endif
+
+
diff --git a/src/boost/libs/math/test/tgamma_delta_ratio_data.ipp b/src/boost/libs/math/test/tgamma_delta_ratio_data.ipp
new file mode 100644
index 000000000..09448f233
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_delta_ratio_data.ipp
@@ -0,0 +1,567 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 560> tgamma_delta_ratio_data = { {
+      {{ SC_(0.2585242462158203125e2), SC_(0.5408298164866209845058619976043701171875e-7), SC_(0.9999998251530248995276873521622051469349e0), SC_(0.1000000174847005556584935896873247717521e1) }}, 
+      {{ SC_(0.2585242462158203125e2), SC_(0.676797071719192899763584136962890625e-7), SC_(0.999999781195646858662207729479648955493e0), SC_(0.1000000218804400836041852388787649318772e1) }}, 
+      {{ SC_(0.2585242462158203125e2), SC_(0.227188110102360951714217662811279296875e-6), SC_(0.9999992655149263979633607427932657111612e0), SC_(0.1000000734485611035140775476483228633931e1) }}, 
+      {{ SC_(0.2585242462158203125e2), SC_(0.43750014810939319431781768798828125e-6), SC_(0.9999985855896265447456778263434928930538e0), SC_(0.1000001414412366465930704463900488591982e1) }}, 
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+      {{ SC_(0.7978768157958984375e2), SC_(0.187765863302047364413738250732421875e-5), SC_(0.9999917888646153646385473895051318817785e0), SC_(0.1000008211202763467564175791309789645476e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.364947482012212276458740234375e-5), SC_(0.9999840406475987418277657778679586330276e0), SC_(0.1000015959606938272699677270433799775095e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.465787525172345340251922607421875e-5), SC_(0.9999796309024037139607471319233544748587e0), SC_(0.1000020369512231238338548852679424154525e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.12453912859200499951839447021484375e-4), SC_(0.9999455394076805203274716454750204183081e0), SC_(0.1000054463556480884385055403110422734809e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.199610440176911652088165283203125e-4), SC_(0.9999127123771704234818306897170832376159e0), SC_(0.1000087295237598131386825924086076636255e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.33494274248369038105010986328125e-4), SC_(0.9998535372638011826062417689875164311734e0), SC_(0.100014648417652299301561171051674700624e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.944348503253422677516937255859375e-4), SC_(0.999587113161598233468454734084678305589e0), SC_(0.1000413057271838561947236206167671415781e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.1560666714794933795928955078125e-3), SC_(0.9993177391847333530108166399937846934428e0), SC_(0.1000682726305481164972102002211593624753e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.2901323023252189159393310546875e-3), SC_(0.9987320295266112808968321744348581125643e0), SC_(0.100126957920068045138514617691027204372e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.755313201807439327239990234375e-3), SC_(0.996702393329728451276260054525472578427e0), SC_(0.1003308509638527465188853170750534124253e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.19461731426417827606201171875e-2), SC_(0.9915253014075514648177162925683418590611e0), SC_(0.1008547084790305965144114625881233228855e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.38232556544244289398193359375e-2), SC_(0.9834194646621488038141741559240478803343e0), SC_(0.1016859897102447874057820269275378350685e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.779867731034755706787109375e-2), SC_(0.96647031314981521958706391422552055032e0), SC_(0.1034692136253289961682530203701497931086e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.15350691974163055419921875e-1), SC_(0.9350722926704194403056098755684301267726e0), SC_(0.1069432851206020276222977029635706852091e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.307452343404293060302734375e-1), SC_(0.8741899273929740118512348989798936860313e0), SC_(0.1143902539794300345755398855610730787373e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.36175407469272613525390625e-1), SC_(0.853673444028947574453146920519234106748e0), SC_(0.1171388781196630028604025966953752030829e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.10786493122577667236328125e0), SC_(0.6238930467503061165450147922993730709957e0), SC_(0.1602603644554494464631490632648253985713e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.2463240921497344970703125e0), SC_(0.3404185101843088803843854355525436974705e0), SC_(0.2935313484497773990220628475801307630996e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.49527740478515625e0), SC_(0.1144707397438024439442613742493198994445e0), SC_(0.870887189584181010190648970619663964418e1) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.97858345508575439453125e0), SC_(0.137674647370524488408642123698494921405e-1), SC_(0.7176300487625859938764819984066740114382e2) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.110986173152923583984375e1), SC_(0.7740752638659382404316274553019359244794e-2), SC_(0.1271948689069195209595747138373138092093e3) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.2970751285552978515625e1), SC_(0.2157992909774354428566814255364545463342e-5), SC_(0.4145708927186640053679609302173996067288e6) }}, 
+      {{ SC_(0.7978768157958984375e2), SC_(0.7192423343658447265625e1), SC_(0.1594087689108406351642321400531650818267e-13), SC_(0.3263982781831842992979765044201168559318e14) }}
+   } };
diff --git a/src/boost/libs/math/test/tgamma_delta_ratio_int.ipp b/src/boost/libs/math/test/tgamma_delta_ratio_int.ipp
new file mode 100644
index 000000000..aa41bfc36
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_delta_ratio_int.ipp
@@ -0,0 +1,352 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 344> tgamma_delta_ratio_int = { {
+      {{ SC_(0.24302618503570556640625e1), SC_(0.1e1), SC_(0.4114782939349022594054088894256271572472e0), SC_(0.14302618503570556640625e1) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.1e1), SC_(0.3315146506841289877594755891064182591548e-1), SC_(0.291645793914794921875e2) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.3e1), SC_(0.3307223761155750711531487469609546246538e-4), SC_(0.2231320586281996185139958610577082254167e5) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.5e1), SC_(0.2918858268609190809990278724248604514024e-7), SC_(0.1469147518070480379794665014907786525186e8) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.7e1), SC_(0.2295219166275465213873613192776013762556e-10), SC_(0.8223734198694550134689130502530947232135e10) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.9e1), SC_(0.1618208430275734434924519990812495766662e-13), SC_(0.3857786609269072710128224389442555988969e13) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.11e2), SC_(0.1028721387871736550385318599923041671733e-16), SC_(0.1490824979713097171415993481052223628558e16) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.13e2), SC_(0.5926882460007524968122855042901912157197e-20), SC_(0.4648203922170334340207682876080006032116e18) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.15e2), SC_(0.3109028494792192917110790291054315941926e-23), SC_(0.1139409800082989383839979690424223084142e21) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.17e2), SC_(0.1491138039359247528148047903357857018565e-26), SC_(0.2124665771291534304735753615395767158197e23) }}, 
+      {{ SC_(0.301645793914794921875e2), SC_(0.19e2), SC_(0.6564083719175744994115607229861959803378e-30), SC_(0.2885559839005887499381495946913235780383e25) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.1e1), SC_(0.2954326409431340851983450434701073702185e-1), SC_(0.32848663330078125e2) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.3e1), SC_(0.2364827053120534463560561879334289442712e-4), SC_(0.3227344028825395710668999527115374803543e5) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.5e1), SC_(0.1695614414470450244250500226271753919667e-7), SC_(0.2779046705870235738963729137775015086257e8) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.7e1), SC_(0.1095310525613279305495592465256381394661e-10), SC_(0.2077891515483201757744317351815521823156e11) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.9e1), SC_(0.6407340740919580652793383140467826508761e-14), SC_(0.1334639554269227650049353460252698351418e14) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.11e2), SC_(0.3410234021200152276254976943763997265065e-17), SC_(0.7272585453555431260958160354377596176673e16) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.13e2), SC_(0.1658471451363357954157478377453720607441e-20), SC_(0.3312774860859689395345508883625889572398e19) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.15e2), SC_(0.7398454132291610784864741044066350592108e-24), SC_(0.123937789059580278543168468020516206455e22) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.17e2), SC_(0.3038328895194104537239753148827028386063e-27), SC_(0.3727133034351634026738359532400494439921e24) }}, 
+      {{ SC_(0.33848663330078125e2), SC_(0.19e2), SC_(0.1152438286925339630084625472113528311441e-30), SC_(0.8771116810258575546832070468458856366617e26) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.1e1), SC_(0.2887928831167915505519744344972123660605e-1), SC_(0.3362689208984375e2) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.3e1), SC_(0.2213137918593517448219688061454782526597e-4), SC_(0.3469915936700885481513978447765111923218e5) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.5e1), SC_(0.1522721097426024895896792330316918422863e-7), SC_(0.3148531028341027662367459391135879115051e8) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.7e1), SC_(0.9458379866953813757703618778885035880068e-11), SC_(0.2490085216056195944036457961808452623757e11) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.9e1), SC_(0.5330391348709183914871234647798016253296e-14), SC_(0.1699145729193855721519591364984158133864e14) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.11e2), SC_(0.2737840710883982300048275891615376700953e-17), SC_(0.9886597038736954287739003770107517853574e16) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.13e2), SC_(0.1286917838872088415509337429304986457503e-20), SC_(0.4837999869770538119582666222954992161451e19) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.15e2), SC_(0.5556765445986870190361609497371887346956e-24), SC_(0.195862450405695992267877670894152909715e22) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.17e2), SC_(0.2211687277609313503714629255037786857888e-27), SC_(0.643083442616985917719955843589721349925e24) }}, 
+      {{ SC_(0.3462689208984375e2), SC_(0.19e2), SC_(0.8140292584590354784620261881745875674798e-31), SC_(0.1670902155865215796953312290630024870723e27) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.1e1), SC_(0.2566138433684874120271097708825946441219e-1), SC_(0.37969058990478515625e2) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.3e1), SC_(0.1567112478553435406702123549078289771168e-4), SC_(0.504890624506973244356999863668988837162e5) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.5e1), SC_(0.8689906310391695151299331020686331039092e-8), SC_(0.5997424205505611045426742533651556939386e8) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.7e1), SC_(0.4394951869162062144764399567493282296601e-11), SC_(0.6321223889260369330291849413168960841557e11) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.9e1), SC_(0.2035525982765477083776753980340839550068e-14), SC_(0.5866813580649745354849775687876536135352e14) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.11e2), SC_(0.8665501322102869433082774775249219150551e-18), SC_(0.475351131137151882575690233470282894011e17) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.13e2), SC_(0.3402404204209133714893020990890855167026e-21), SC_(0.332917433408466146766602692025570579486e20) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.15e2), SC_(0.1236000924581999848584000411105138094148e-24), SC_(0.199246039489905250504763182886478199254e23) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.17e2), SC_(0.4166349010445106129065594246766652774957e-28), SC_(0.1005412674170810825848072062572878094182e26) }}, 
+      {{ SC_(0.38969058990478515625e2), SC_(0.19e2), SC_(0.1306678052162296296302493472338051227226e-31), SC_(0.4209988378715069570506244784182271066633e28) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.1e1), SC_(0.2409195867098306907239470727577262147923e-1), SC_(0.40507625579833984375e2) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.3e1), SC_(0.1302686404207614714166737816227289198388e-4), SC_(0.6162606769838344661754936382180858345237e5) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.5e1), SC_(0.6431633349331497141015690712861511428175e-8), SC_(0.8438545889861793470458005660841864423808e8) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.7e1), SC_(0.2910943566542678829029393631028762223452e-11), SC_(0.1033961398568079581975133990707297357778e12) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.9e1), SC_(0.1212136898003702865187467684297844048505e-14), SC_(0.1126245913457844277854195511466495940505e15) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.11e2), SC_(0.4659326979515309613033501220500527426672e-18), SC_(0.1082573300089022204314702243358580760484e18) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.13e2), SC_(0.1658384118269441042099831807050083163649e-21), SC_(0.91065236945021286603137668511485592393e20) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.15e2), SC_(0.5481194532589979478160202963103776716729e-25), SC_(0.6640129568173827446546480656426857387714e23) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.17e2), SC_(0.1686718935768932765905700917212028498685e-28), SC_(0.4150953075743104724995577406049683820437e26) }}, 
+      {{ SC_(0.41507625579833984375e2), SC_(0.19e2), SC_(0.4844596658382802531655518188204297321602e-32), SC_(0.2196272737681924152751776983696792699708e29) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.1e1), SC_(0.2302873188856175403626965536052891307432e-1), SC_(0.42424015045166015625e2) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.3e1), SC_(0.1141212965168497956273138117867728882609e-4), SC_(0.7104007410816445601492441497271101980004e5) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.5e1), SC_(0.5183530746499905821724585148177857891242e-8), SC_(0.1076135606728602311731733060546098971879e9) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.7e1), SC_(0.2165842442020049314291887953595061977946e-11), SC_(0.1466915836463339236767082142468157916416e12) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.9e1), SC_(0.8352634046179587916965001059409801159114e-15), SC_(0.1788811192909514734098773167283202538717e15) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.11e2), SC_(0.298233654616673156227132531689098798769e-18), SC_(0.1938607613675135351748920729783474442776e18) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.13e2), SC_(0.9887080919142083101358820841666548050753e-22), SC_(0.185339554706118008924758289308683203201e21) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.15e2), SC_(0.3051480135720957858617678876687093192759e-25), SC_(0.155008485690420948357495306520727205633e24) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.17e2), SC_(0.8789358031687555830222445881321568310609e-29), SC_(0.1123273000311193530381181760232005030144e27) }}, 
+      {{ SC_(0.43424015045166015625e2), SC_(0.19e2), SC_(0.236815091235828679607489497499356592008e-32), SC_(0.6975036999910042353046954606166180204346e29) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.1e1), SC_(0.2077865419406304236580399656817393498934e-1), SC_(0.47126312255859375e2) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.3e1), SC_(0.8437960653693735957134561491100566346538e-5), SC_(0.9809390766368974126976354455109685659409e5) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.5e1), SC_(0.3166183100205642887826645435303326518589e-8), SC_(0.1866732086273901183859566573335806986036e9) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.7e1), SC_(0.1101077573857436603217685657647966596415e-11), SC_(0.3234113100569470581250886609733700766947e12) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.9e1), SC_(0.3558708932056748207836379171964544718017e-15), SC_(0.5077540178064275443217905666528310416763e15) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.11e2), SC_(0.1071725362180794722991303758934862096345e-18), SC_(0.7187204167983311927130207619426523150668e18) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.13e2), SC_(0.3014658675524784930232885637612008898403e-22), SC_(0.9120447991959640899074143906493307877248e21) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.15e2), SC_(0.7938425564547933194404486603257095922217e-26), SC_(0.1031047379391541256772257192115735567411e25) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.17e2), SC_(0.1961045599357850472573774141844422974584e-29), SC_(0.1031020187481179725740755298399728721963e28) }}, 
+      {{ SC_(0.48126312255859375e2), SC_(0.19e2), SC_(0.4553621212485033764098492374866479408138e-33), SC_(0.9046876114723798858579300473216770030017e30) }}, 
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+      {{ SC_(0.28788824462890625e3), SC_(0.1e1), SC_(0.3473570104569640055962131640759410960191e-2), SC_(0.28688824462890625e3) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.3e1), SC_(0.4147778860826452996008042939379237489236e-7), SC_(0.2336595739914530255396130087319761514664e8) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.5e1), SC_(0.4885092799811013921823782549177388581846e-12), SC_(0.1876488429114554752620527238325746098634e13) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.7e1), SC_(0.5675297891024780138525697551464866109164e-17), SC_(0.1485786541228514073866161629333886138035e18) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.9e1), SC_(0.6504343827584720578007790628197932503555e-22), SC_(0.115976844211059217259122774325677854357e23) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.11e2), SC_(0.7354567247175934183847257682176508160719e-27), SC_(0.8923720939211117300320489938065609307863e27) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.13e2), SC_(0.8205193867978273440011202644178884562983e-32), SC_(0.6767610329032719369025509390108872609635e32) }}, 
+      {{ SC_(0.28788824462890625e3), SC_(0.15e2), SC_(0.9033112602451792738749403271987921872272e-37), SC_(0.5058171670631253364671295649996237533421e37) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.1e1), SC_(0.3454211406635041713966881609665888745256e-2), SC_(0.288501678466796875e3) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.3e1), SC_(0.407905168480763018987021853172545228673e-7), SC_(0.2376380058306495433427585339813958853483e8) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.5e1), SC_(0.4751385373606723027962691314425005391974e-12), SC_(0.1930231496923894088462545699714651073089e13) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.7e1), SC_(0.5459747147595941934931644310213716724959e-17), SC_(0.154591661548185942785563127012845776958e18) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.9e1), SC_(0.6189505505380654067781824225524105132565e-22), SC_(0.1220681936608413875283547987492080381155e23) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.11e2), SC_(0.6923248423462699258122608833489787193542e-27), SC_(0.9501994073223823891184486514363262976698e27) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.13e2), SC_(0.7641406071861718441256397914223803198376e-32), SC_(0.7290849633976240067942394862692220173534e32) }}, 
+      {{ SC_(0.289501678466796875e3), SC_(0.15e2), SC_(0.8323086212678717271324694441691502737994e-37), SC_(0.551375411474552213507390248281996458309e37) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.1e1), SC_(0.3444228421043890893385637226929434835625e-2), SC_(0.289340789794921875e3) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.3e1), SC_(0.404390772308938863697334002937411013455e-7), SC_(0.2397248344799799768131265409465413540602e8) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.5e1), SC_(0.4683584166674361180389483263241938077867e-12), SC_(0.1958664738832016351565037051374224319343e13) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.7e1), SC_(0.5351351314668937271340160893033367766944e-17), SC_(0.1578004983694902935556729547125288747567e18) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.9e1), SC_(0.6032486205167581064858567225995659032751e-22), SC_(0.1253472175648567782767177252957740552768e23) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.11e2), SC_(0.6709901097200500439708799760438557985054e-27), SC_(0.9816018026087682770199262928304104956695e27) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.13e2), SC_(0.7364808408015348014875920182650010471344e-32), SC_(0.757750009443894137565133378045564307973e32) }}, 
+      {{ SC_(0.290340789794921875e3), SC_(0.15e2), SC_(0.7977567303667583794462380205536503660325e-37), SC_(0.5765560036226951637956770556326362477979e37) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.1e1), SC_(0.3440073454302810870077806885983947303719e-2), SC_(0.28969146728515625e3) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.3e1), SC_(0.4029340128900865341649997325071470796219e-7), SC_(0.2406005592837546327814379765186458826065e8) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.5e1), SC_(0.4655593347102129154770919320328943988628e-12), SC_(0.197064624191144911113364924372333547971e13) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.7e1), SC_(0.5306781300850624992667955983404647577365e-17), SC_(0.1591583373838064839072653291218129731538e18) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.9e1), SC_(0.5968181020379241221614164786831856442513e-22), SC_(0.1267406078595540656088386383125599592152e23) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.11e2), SC_(0.6622874185773110848120483926856882408505e-27), SC_(0.9950025958171749642234595698560649206203e27) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.13e2), SC_(0.7252425880730941952837038289017818623456e-32), SC_(0.7700349214883739827198954590726953390616e32) }}, 
+      {{ SC_(0.29069146728515625e3), SC_(0.15e2), SC_(0.7837732137791901630412251772353086649926e-37), SC_(0.5873940084556647854075928357945884520601e37) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.1e1), SC_(0.3433980498788601758552647643188802171892e-2), SC_(0.290207244873046875e3) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.3e1), SC_(0.4008040930623875410783774854230681603441e-7), SC_(0.2418924493681085849559053713164757937193e8) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.5e1), SC_(0.4614788198337042276507609088027282453366e-12), SC_(0.1988375146420684092396039255743712842102e13) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.7e1), SC_(0.5241996237359538672911416208963837661703e-17), SC_(0.1611736435885476675751117506657723086633e18) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.9e1), SC_(0.5874980228979750505195933021348442376062e-22), SC_(0.1288150308509289144242116755013782892893e23) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.11e2), SC_(0.6497104124488598123554519089149390087186e-27), SC_(0.1015014875890825032948492161856198979056e28) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.13e2), SC_(0.7090475834671838093657350842661830590173e-32), SC_(0.7884379604158280127712554109520427430725e32) }}, 
+      {{ SC_(0.291207244873046875e3), SC_(0.15e2), SC_(0.7636792489590183720543570028907531957389e-37), SC_(0.6036805286139762775881723279121968447932e37) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.1e1), SC_(0.33972952685862159057449623236968809744e-2), SC_(0.293351806640625e3) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.3e1), SC_(0.3881379282177214776636623282889873598749e-7), SC_(0.2498689343664573460409883409738540649414e8) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.5e1), SC_(0.4375088373240974671031998487110516857923e-12), SC_(0.2099244362868845821585772253776470963604e13) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.7e1), SC_(0.4866029054251045038186644286072296391012e-17), SC_(0.1739400555379920223170681407628313381261e18) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.9e1), SC_(0.534057883457178772917208250643286627359e-22), SC_(0.1421281681033299298280403078077015645206e23) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.11e2), SC_(0.5784500466126953910491646789719517325936e-27), SC_(0.1145149364382182705993366363639828841506e28) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.13e2), SC_(0.6183650292423694233820451668640331858573e-32), SC_(0.9097088412307421913798995051293929461461e32) }}, 
+      {{ SC_(0.294351806640625e3), SC_(0.15e2), SC_(0.6524731626576039436199662440884420606257e-37), SC_(0.7124547053047129902329409548948893697576e37) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.1e1), SC_(0.3357152092472492109647570746796270004039e-2), SC_(0.29687152099609375e3) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.3e1), SC_(0.3745857576153496103596756759785568454842e-7), SC_(0.2590028433522621662064011616166681051254e8) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.5e1), SC_(0.4124278994306611649605113542682886173912e-12), SC_(0.2229149394453432862981100413241140703895e13) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.7e1), SC_(0.4481254385408609056603897429430645730762e-17), SC_(0.1892483485866810077637251708385021969851e18) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.9e1), SC_(0.4805556612415073905868174503601992803965e-22), SC_(0.1584682915857995126890517336563712708005e23) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.11e2), SC_(0.5086482969169712932808559443461158258716e-27), SC_(0.1308665081238300833231561815310422586917e28) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.13e2), SC_(0.5314446802305598153808326995941985254172e-32), SC_(0.1065733067256237279284265031964211394528e33) }}, 
+      {{ SC_(0.29787152099609375e3), SC_(0.15e2), SC_(0.5481525108002032281510522944958079149289e-37), SC_(0.8557747958232836453478265781438336038069e37) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.1e1), SC_(0.3345131332236732968010854526498232035615e-2), SC_(0.297941925048828125e3) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.3e1), SC_(0.3705896653431679485941827175484149138275e-7), SC_(0.2618241086285098069268428844225127249956e8) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.5e1), SC_(0.4051450186662736366284562621407566077077e-12), SC_(0.2269904983065584876428858402786024561227e13) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.7e1), SC_(0.4371220920128659338444328164220492742505e-17), SC_(0.1941268809835496579746004922828460068201e18) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.9e1), SC_(0.4654869913634073404921977229252675829028e-22), SC_(0.1637581799972646839641245577548494961723e23) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.11e2), SC_(0.489284975257170578658380454302158217284e-27), SC_(0.1362443397656620723242541241397155077558e28) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.13e2), SC_(0.5076942804322773765508159231416954589399e-32), SC_(0.111786745604799935748770629080275328159e33) }}, 
+      {{ SC_(0.298941925048828125e3), SC_(0.15e2), SC_(0.5200735573667448543558639259673314877186e-37), SC_(0.9044325612703634083164448623285298649691e37) }}
+   } };
+
diff --git a/src/boost/libs/math/test/tgamma_delta_ratio_int2.ipp b/src/boost/libs/math/test/tgamma_delta_ratio_int2.ipp
new file mode 100644
index 000000000..d28534b1b
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_delta_ratio_int2.ipp
@@ -0,0 +1,197 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 4>, 190> tgamma_delta_ratio_int2 = { {
+      {{ SC_(0.11e2), SC_(0.1e2), SC_(0.1491552059147518383844493235618106619139e-11), SC_(0.36288e7) }}, 
+      {{ SC_(0.12e2), SC_(0.1e2), SC_(0.7812891738391762962994964567523415624059e-12), SC_(0.399168e8) }}, 
+      {{ SC_(0.12e2), SC_(0.11e2), SC_(0.3551314426541710437724983894328825283663e-13), SC_(0.399168e8) }}, 
+      {{ SC_(0.13e2), SC_(0.1e2), SC_(0.4261577311850052525269980673194590340396e-12), SC_(0.2395008e9) }}, 
+      {{ SC_(0.13e2), SC_(0.11e2), SC_(0.1852859700804370663160861162258517539303e-13), SC_(0.4790016e9) }}, 
+      {{ SC_(0.13e2), SC_(0.12e2), SC_(0.7720248753351544429836921509410489747094e-15), SC_(0.4790016e9) }}, 
+      {{ SC_(0.14e2), SC_(0.1e2), SC_(0.2408717611045681862109119510936072801093e-12), SC_(0.10378368e10) }}, 
+      {{ SC_(0.14e2), SC_(0.11e2), SC_(0.1003632337935700775878799796223363667122e-13), SC_(0.31135104e10) }}, 
+      {{ SC_(0.14e2), SC_(0.12e2), SC_(0.4014529351742803103515199184893454668489e-15), SC_(0.62270208e10) }}, 
+      {{ SC_(0.14e2), SC_(0.13e2), SC_(0.1544049750670308885967384301882097949419e-16), SC_(0.62270208e10) }}, 
+      {{ SC_(0.15e2), SC_(0.1e2), SC_(0.1405085273109981086230319714712709133971e-12), SC_(0.36324288e10) }}, 
+      {{ SC_(0.15e2), SC_(0.11e2), SC_(0.5620341092439924344921278858850836535885e-14), SC_(0.145297152e11) }}, 
+      {{ SC_(0.15e2), SC_(0.12e2), SC_(0.2161669650938432440354338022634937129186e-15), SC_(0.435891456e11) }}, 
+      {{ SC_(0.15e2), SC_(0.13e2), SC_(0.8006183892364564593904955639388656034024e-17), SC_(0.871782912e11) }}, 
+      {{ SC_(0.15e2), SC_(0.14e2), SC_(0.2859351390130201640680341299781662869294e-18), SC_(0.871782912e11) }}, 
+      {{ SC_(0.16e2), SC_(0.1e2), SC_(0.8430511638659886517381918288276254803827e-13), SC_(0.108972864e11) }}, 
+      {{ SC_(0.16e2), SC_(0.11e2), SC_(0.324250447640764866053150703395240569378e-14), SC_(0.54486432e11) }}, 
+      {{ SC_(0.16e2), SC_(0.12e2), SC_(0.1200927583854684689085743345908298405104e-15), SC_(0.217945728e12) }}, 
+      {{ SC_(0.16e2), SC_(0.13e2), SC_(0.4289027085195302461020511949672494303941e-17), SC_(0.653837184e12) }}, 
+      {{ SC_(0.16e2), SC_(0.14e2), SC_(0.1478974856963897400351900672300860104807e-18), SC_(0.1307674368e13) }}, 
+      {{ SC_(0.16e2), SC_(0.15e2), SC_(0.4929916189879658001173002241002867016024e-20), SC_(0.1307674368e13) }}, 
+      {{ SC_(0.17e2), SC_(0.1e2), SC_(0.5188007162252237856850411254323849110047e-13), SC_(0.290594304e11) }}, 
+      {{ SC_(0.17e2), SC_(0.11e2), SC_(0.1921484134167495502537189353453277448166e-14), SC_(0.1743565824e12) }}, 
+      {{ SC_(0.17e2), SC_(0.12e2), SC_(0.6862443336312483937632819119475990886306e-16), SC_(0.871782912e12) }}, 
+      {{ SC_(0.17e2), SC_(0.13e2), SC_(0.2366359771142235840563041075681376167692e-17), SC_(0.3487131648e13) }}, 
+      {{ SC_(0.17e2), SC_(0.14e2), SC_(0.7887865903807452801876803585604587225639e-19), SC_(0.10461394944e14) }}, 
+      {{ SC_(0.17e2), SC_(0.15e2), SC_(0.254447287219595251673445276954986684698e-20), SC_(0.20922789888e14) }}, 
+      {{ SC_(0.17e2), SC_(0.16e2), SC_(0.7951477725612351614795164904843333896814e-22), SC_(0.20922789888e14) }}, 
+      {{ SC_(0.18e2), SC_(0.1e2), SC_(0.3266523028084742354313221900870571661882e-13), SC_(0.705729024e11) }}, 
+      {{ SC_(0.18e2), SC_(0.11e2), SC_(0.1166615367173122269397579250310918450672e-14), SC_(0.4940103168e12) }}, 
+      {{ SC_(0.18e2), SC_(0.12e2), SC_(0.4022811610941800928957169828658339485076e-16), SC_(0.29640619008e13) }}, 
+      {{ SC_(0.18e2), SC_(0.13e2), SC_(0.1340937203647266976319056609552779828359e-17), SC_(0.14820309504e14) }}, 
+      {{ SC_(0.18e2), SC_(0.14e2), SC_(0.4325603882733119278448569708234773639867e-19), SC_(0.59281238016e14) }}, 
+      {{ SC_(0.18e2), SC_(0.15e2), SC_(0.1351751213354099774515178033823366762458e-20), SC_(0.177843714048e15) }}, 
+      {{ SC_(0.18e2), SC_(0.16e2), SC_(0.4096215798042726589439933435828384128662e-22), SC_(0.355687428096e15) }}, 
+      {{ SC_(0.18e2), SC_(0.17e2), SC_(0.1204769352365507820423509834067171802548e-23), SC_(0.355687428096e15) }}, 
+      {{ SC_(0.19e2), SC_(0.1e2), SC_(0.209990766091162008491564265055965321121e-13), SC_(0.1587890304e12) }}, 
+      {{ SC_(0.19e2), SC_(0.11e2), SC_(0.7241060899695241672122905691585011073137e-15), SC_(0.12703122432e13) }}, 
+      {{ SC_(0.19e2), SC_(0.12e2), SC_(0.2413686966565080557374301897195003691046e-16), SC_(0.88921857024e13) }}, 
+      {{ SC_(0.19e2), SC_(0.13e2), SC_(0.778608698891961470120742547482259255176e-18), SC_(0.533531142144e14) }}, 
+      {{ SC_(0.19e2), SC_(0.14e2), SC_(0.2433152184037379594127320460882060172425e-19), SC_(0.266765571072e15) }}, 
+      {{ SC_(0.19e2), SC_(0.15e2), SC_(0.7373188436476907860991880184491091431591e-21), SC_(0.1067062284288e16) }}, 
+      {{ SC_(0.19e2), SC_(0.16e2), SC_(0.2168584834257914076762317701320909244586e-22), SC_(0.3201186852864e16) }}, 
+      {{ SC_(0.19e2), SC_(0.17e2), SC_(0.6195956669308325933606622003774026413102e-24), SC_(0.6402373705728e16) }}, 
+      {{ SC_(0.19e2), SC_(0.18e2), SC_(0.1721099074807868314890728334381674003639e-25), SC_(0.6402373705728e16) }}, 
+      {{ SC_(0.2e2), SC_(0.1e2), SC_(0.1375801570942095917703352081401152103896e-13), SC_(0.3352212864e12) }}, 
+      {{ SC_(0.2e2), SC_(0.11e2), SC_(0.4586005236473653059011173604670507012987e-15), SC_(0.30169915776e13) }}, 
+      {{ SC_(0.2e2), SC_(0.12e2), SC_(0.1479356527894726793229410840216292584834e-16), SC_(0.241359326208e14) }}, 
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+      {{ SC_(0.29e2), SC_(0.15e2), SC_(0.50465450144923633985761344615369076563e-23), SC_(0.4896215291455488e20) }}, 
+      {{ SC_(0.29e2), SC_(0.16e2), SC_(0.114694204874826440876730328671293355825e-24), SC_(0.63650798788921344e21) }}, 
+      {{ SC_(0.29e2), SC_(0.17e2), SC_(0.2548760108329476463927340637139852351666e-26), SC_(0.763809585467056128e22) }}, 
+      {{ SC_(0.29e2), SC_(0.18e2), SC_(0.5540782844194514052015957906825765981884e-28), SC_(0.8401905440137617408e23) }}, 
+      {{ SC_(0.29e2), SC_(0.19e2), SC_(0.1178889966849896606811905937622503400401e-29), SC_(0.8401905440137617408e24) }}, 
+      {{ SC_(0.29e2), SC_(0.2e2), SC_(0.2456020764270617930858137370046882084168e-31), SC_(0.75617148961238556672e25) }}, 
+      {{ SC_(0.29e2), SC_(0.21e2), SC_(0.5012287274021669246649259938871187926874e-33), SC_(0.604937191689908453376e26) }}, 
+      {{ SC_(0.29e2), SC_(0.22e2), SC_(0.1002457454804333849329851987774237585375e-34), SC_(0.4234560341829359173632e27) }}, 
+      {{ SC_(0.29e2), SC_(0.23e2), SC_(0.1965602852557517351627160760341642324264e-36), SC_(0.25407362050976155041792e28) }}, 
+      {{ SC_(0.29e2), SC_(0.24e2), SC_(0.3780005485687533368513770692964696777431e-38), SC_(0.12703681025488077520896e29) }}, 
+      {{ SC_(0.29e2), SC_(0.25e2), SC_(0.7132085822051949751912774892386220334776e-40), SC_(0.50814724101952310083584e29) }}, 
+      {{ SC_(0.29e2), SC_(0.26e2), SC_(0.1320756633713324028131995350441892654588e-41), SC_(0.152444172305856930250752e30) }}, 
+      {{ SC_(0.29e2), SC_(0.27e2), SC_(0.2401375697660589142058173364439804826524e-43), SC_(0.304888344611713860501504e30) }}, 
+      {{ SC_(0.29e2), SC_(0.28e2), SC_(0.4288170888679623467961023865071080047364e-45), SC_(0.304888344611713860501504e30) }}
+   } };
diff --git a/src/boost/libs/math/test/tgamma_mp_data.hpp b/src/boost/libs/math/test/tgamma_mp_data.hpp
new file mode 100644
index 000000000..390286f65
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_mp_data.hpp
@@ -0,0 +1,417 @@
+static const boost::array<boost::array<T, 3>, 198> factorials = {
+   SC_(1), SC_(1), SC_(0),
+   SC_(2), SC_(1), SC_(0),
+   SC_(3), SC_(2), SC_(0.69314718055994530941723212145817656807550013436025525412068000949339362196969471560586332699641868754200148102),
+   SC_(4), SC_(6), SC_(1.7917594692280550008124773583807022727229906921830047058553743431308879151883036824794790818101507763299715101),
+   SC_(5), SC_(24), SC_(3.1780538303479456196469416012970554088739909609035152140967343621176751591276931136912057358029881514139744721),
+   SC_(6), SC_(120), SC_(4.7874917427820459942477009345232430483995923151720329360093822535918541468353508783213396138961677622139407751),
+   SC_(7), SC_(720), SC_(6.5792512120101009950601782929039453211225830073550376418647565967227420620236545608008186957063185385439122852),
+   SC_(8), SC_(5040), SC_(8.5251613610654143001655310363471250507596677369368988303241467466603219247757238285884771942941900655369739794),
+   SC_(9), SC_(40320), SC_(10.604602902745250228417227400721654754986168140017664592686186775140502790684807975406067175283446128162978423),
+   SC_(10), SC_(362880), SC_(12.801827480081469611207717874566706164281149255663163496155575442415491377122025909153298684910910305738918481),
+   SC_(11), SC_(3628800), SC_(15.104412573075515295225709329251070371882250744291936472188903343383063986799378389389295890000508604080886265),
+   SC_(12), SC_(39916800), SC_(17.502307845873885839287652907216199671703957598229353647407471052513637610712615102464350598003143395495601991),
+   SC_(13), SC_(479001600), SC_(19.987214495661886149517362387055078512502448424772613607383525405137919147870613500549693006809712859367574982),
+   SC_(14), SC_(6227020800), SC_(22.552163853123422885570849828620397117307716369532820723802570915801383815195023679949267670250202348136833174),
+   SC_(15), SC_(87178291200), SC_(25.191221182738681500093434693521753415020301233474937166382641075232357299916787663342789495834492562671896349),
+   SC_(16), SC_(1307674368000), SC_(27.899271383840891566089439263670466759193393145566204340029983300344030580843054394846539128741404262259832681),
+   SC_(17), SC_(20922789888000), SC_(30.671860106080672803758367749503173031495393683007225356512703338317605068721833257269992436727079012427838605),
+   SC_(18), SC_(355687428096000), SC_(33.505073450136888884007902367376299567083596695592970143809941076199897644522764538182087304764581959946186867),
+   SC_(19), SC_(6402373705728000), SC_(36.395445208033053576215624962679527544454077945598724301400009752968279852929677187535182141388464825064128406),
+   SC_(20), SC_(121645100408832000), SC_(39.33988418719949403622465239456738108169145720689785311993796998937757255499387447624934052520420472086116904),
+   SC_(21), SC_(2432902008176640000), SC_(42.335616460753485029659875970709921857368058829886881350091977899838538786640921672091201057290221706745138305),
+   SC_(22), SC_(51090942171709440000), SC_(45.380138898476908026160473951075627291652634117291491990286062383413612942611599906752475310691825322526170028),
+   SC_(23), SC_(1124000727777607680000), SC_(48.471181351835223879639649650498933159549841105589164419625310102037580188494531335433393345690878801482887235),
+   SC_(24), SC_(25852016738884976640000), SC_(51.606675567764373570446402482309129277992221420429600161623945479520573434479329633631794437843873615837084448),
+   SC_(25), SC_(620448401733239439360000), SC_(54.784729398112319190093344083606184686866212381333115375720679841638248593607022747323000173646861767251058921),
+   SC_(26), SC_(15511210043330985984000000), SC_(58.003605222980519939294862750058559965917415089870150819545975624586606569022338276583267929833220988850991527),
+   SC_(27), SC_(403291461126605635584000000), SC_(61.2617017610020019847655823130820551387981831689906131900857011447434648583164431715887059202701291651622512),
+   SC_(28), SC_(10888869450418352160768000000), SC_(64.557538627006331058951318023849632252740654842458861545289784145655947737972270072209553184711325431526161287),
+   SC_(29), SC_(304888344611713860501504000000), SC_(67.889743137181534982891135010209165118528739840761233241990534314580314844663728771208938337292034333603225943),
+   SC_(30), SC_(8841761993739701954543616000000), SC_(71.257038967168009010074407042571076724023252754683977320912204666223095625801581104502305452109890756249225528),
+   SC_(31), SC_(265252859812191058636308480000000), SC_(74.658236348830164385487643734177966636271844801135499748680226900828162528697542551611918412013221143379163341),
+   SC_(32), SC_(8222838654177922817725562880000000), SC_(78.092223553315310631416808058720323846721783731616091720436944973303143945295093783825783243349307773952140278),
+   SC_(33), SC_(263130836933693530167218012160000000), SC_(81.557959456115037178502968666011206687099284403417367991040345020770112055143567361855099878331401211662147683),
+   SC_(34), SC_(8683317618811886495518194401280000000), SC_(85.054467017581517413960157480898861691568481815177534617993607063538179972275413041803770341147768091864833438),
+   SC_(35), SC_(295232799039604140847618609643520000000), SC_(88.580827542197678803626924220230164795232184962123534659411524810913866170046039038321728536181689726925183181),
+   SC_(36), SC_(10333147966386144929666651337523200000000), SC_(92.136175603687092483333036296899532164394871045973913569783562852325625020505766070739520912862740864718211178),
+   SC_(37), SC_(371993326789901217467999448150835200000000), SC_(95.719694542143202484957991013660936709840852430339922981494311538587400850882373435698479076483042417378154198),
+   SC_(38), SC_(13763753091226345046315979581580902400000000), SC_(99.330612454787426929326086684692383873740930017507559145139224219780390597872734501097500610155211078159963151),
+   SC_(39), SC_(523022617466601111760007224100074291200000000), SC_(102.96819861451381269875234623803841397905380941316694321779786446568307692190662650541752232096736966149900526),
+   SC_(40), SC_(20397882081197443358640281739902897356800000000), SC_(106.63176026064345912620107891652625828850656791574989978595160430998403588244964565169071273922159123905623349),
+   SC_(41), SC_(815915283247897734345611269596115894272000000000), SC_(110.32063971475739542905353461412697563225866967309918327022629222993839573606638756313843659830402691248220423),
+   SC_(42), SC_(33452526613163807108170062053440751665152000000000), SC_(114.03421178146170323292029798716438322063508014249848490384555514019837435247204506910075373967601372352019472),
+   SC_(43), SC_(1405006117752879898543142606244511569936384000000000), SC_(117.77188139974507153883812808898826522299515556426335079816031963326684213041241801936789132007403602684322793),
+   SC_(44), SC_(60415263063373835637355132068513997507264512000000000), SC_(121.53308151543863396231097060233411225855429174914490621335200489818970130428540445790548331815803331374073361),
+   SC_(45), SC_(2658271574788448768043625811014615890319638528000000000), SC_(125.31727114935689512520737842321559469452699887180283389681193262630706217213803060219226468015350548023945229),
+   SC_(46), SC_(119622220865480194561963161495657715064383733760000000000), SC_(129.12393363912721488259862823028683374334758134171685052219396918505622974628290630056963006787414926861535866),
+   SC_(47), SC_(5502622159812088949850305428800254892961651752960000000000), SC_(132.95257503561630988282261318355520642986546179091754151831328457203261661423739931437389448702356277051155735),
+   SC_(48), SC_(258623241511168180642964355153611979969197632389120000000000), SC_(136.80272263732636846964356385332738013876151229293776555151379291883943482774320038698458424045830875146800892),
+   SC_(49), SC_(12413915592536072670862289047373375038521486354677760000000000), SC_(140.67392364823425939870773757608261211571100338820153601973120729045050360884058821628165330325771559042398488),
+   SC_(50), SC_(608281864034267560872252163321295376887552831379210240000000000), SC_(144.56574394634488600891844306296897157498517284736525839664998759032566333434472675185697030043345864441010827),
+   SC_(51), SC_(30414093201713378043612608166064768844377641568960512000000000000), SC_(148.47776695177303206753719385087952342211187569026254909459596338276741493172973699672310138361623655355204235),
+   SC_(52), SC_(1551118753287382280224243016469303211063259720016986112000000000000), SC_(152.40959258449735783918197370567517566234756926067104333362789545428720180074927724450881200646747158985836064),
+   SC_(53), SC_(80658175170943878571660636856403766975289505440883277824000000000000), SC_(156.3608363030787851940699253901568474033038374741517609582883009839374537120130768551201133239007984537116218),
+   SC_(54), SC_(4274883284060025564298013753389399649690343788366813724672000000000000), SC_(160.33112821663090702821439452918590517366381522706297856133643045395545834595656671365477326838671968355373562),
+   SC_(55), SC_(230843697339241380472092742683027581083278564571807941132288000000000000), SC_(164.32011226319518141181736236141165885568178703489148217066119346436133484758208832988148385982433463745964719),
+   SC_(56), SC_(12696403353658275925965100847566516959580321051449436762275840000000000000), SC_(168.32744544842765233048006527260297579502909524309741706779240906496608745920298280758667244592014903967432922),
+   SC_(57), SC_(710998587804863451854045647463724949736497978881168458687447040000000000000), SC_(172.35279713916280156383711438042068522889268037576004401861383924338384818786413622219192092549727662929339535),
+   SC_(58), SC_(40526919504877216755680601905432322134980384796226602145184481280000000000000), SC_(176.39584840699735171524138704923106447077755019488192228888649381343063518314694247777969506412674861387840601),
+   SC_(59), SC_(2350561331282878571829474910515074683828862318181142924420699914240000000000000), SC_(180.45629141754377105184189120305115264434756324316492162192884417456680958625448952667892550594102372406640708),
+   SC_(60), SC_(138683118545689835737939019720389406345902876772687432540821294940160000000000000), SC_(184.53382886144949050245794157677085026841091003249537615144088087162600970051991700403826546574365749307685096),
+   SC_(61), SC_(8320987112741390144276341183223364380754172606361245952449277696409600000000000000), SC_(188.62817342367159118728841038983591674873500221330715383332958311572447022538557316675374175264340656774879025),
+   SC_(62), SC_(507580213877224798800856812176625227226004528988036003099405939480985600000000000000), SC_(192.73904728784490243603979949326153149505068395638841489626696676214391003223052189793917095874351034077226315),
+   SC_(63), SC_(31469973260387937525653122354950764088012280797258232192163168247821107200000000000000), SC_(196.86618167288999399138619593926206527357612302122926212214436484411228507079776784575889911707601565888724156),
+   SC_(64), SC_(1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000), SC_(201.00931639928152667928203915655029641250818886645662221407314366132485351998705504729378912529135136345624332),
+   SC_(65), SC_(126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000), SC_(205.1681994826411985357854318852993558209611896726181537387972237182852152518052233409289690872698634887082522),
+   SC_(66), SC_(8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000), SC_(209.3425867525368356464396786600908620652920589716468785771289171204228589068372912849586776288035325882774767),
+   SC_(67), SC_(544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000), SC_(213.53224149456326119131409959643669363783675651776730045820285917268432044593883168051321141861631815602216393),
+   SC_(68), SC_(36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000), SC_(217.73693411395422725098417159280041638840368942098919579534064330345958895146691857715212560643734364055612613),
+   SC_(69), SC_(2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000), SC_(221.95644181913033395006817045358989606014289270229545109087924106032866877120723928927594712846768396315847735),
+   SC_(70), SC_(171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000), SC_(226.19054832372759333227016852232261788323276357495863628461257077144915631041064655434796397543441086630064459),
+   SC_(71), SC_(11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000), SC_(230.43904356577695232139351272045016182047094979316927044910528882235430878284006830237161967911188069163567407),
+   SC_(72), SC_(850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000), SC_(234.70172344281826774272296725296319591723052631987983655722671462438166028966429866833786300338451582517662042),
+   SC_(73), SC_(61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000), SC_(238.97838956183432305376515409118277703075200783860610122305814332013682974201060074890268449400123606537856492),
+   SC_(74), SC_(4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000), SC_(243.26884900298271418285726294862131960165676068347769888765384217729861971793119804217901381683609495963259635),
+   SC_(75), SC_(330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000), SC_(247.57291409618688393664259074111094333363233840500559030541943486798500308689125382318389867750468230795640678),
+   SC_(76), SC_(24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000), SC_(251.89040220972319437723935464448584431733103167136537520097942498457085535552517831931778218850477361834430941),
+   SC_(77), SC_(1.885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224e+111), SC_(256.22113555000952545608284631929005099071941120138501452775874523996693530152876503924366722631335088922535301),
+   SC_(78), SC_(1.45183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248e+113), SC_(260.56494097186320930525014264069836002017820278490429289143670309903508878819407102010638043290385720763313043),
+   SC_(79), SC_(1.1324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344e+115), SC_(264.92164979855280104211610744064438089770646142184750471371112295282944137070678488198543417815449747273236013),
+   SC_(80), SC_(8.94618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176e+116), SC_(269.29109765101982253628905298212579181988000264627011433912329407038924743183121716013137454392857707937066295),
+   SC_(81), SC_(7.156945704626380229481153372318653216558465734236575257710944505822703925548014884266894486728081408e+118), SC_(273.67312428569370414855874080118468573170760453797965307751866199983700090741765378718496173000743144033863518),
+   SC_(82), SC_(5.79712602074736798587973423157810910541235724473162595874586504971639017969389205625618453424974594048e+120), SC_(278.06757344036614291413972174887478855029756676927065088445743933438697808029208965467942474926235979549051529),
+   SC_(83), SC_(4.7536433370128417484213820698940494664381329406799332861716093407674399473489914861300713180847916711936e+122), SC_(282.47429268763039602742371724337037270674947737303020777219738225414035031866744187624760521763076529407050726),
+   SC_(84), SC_(3.945523969720658651189747118012061057143650340764344627522435752836975156299662933487959194010377087090688e+124), SC_(286.89313329542699395089918946666174315977879042969344414238532571707892930855643248208603251460133872829846),
+   SC_(85), SC_(3.31424013456535326699938757913013128800066628624204948711884603238305913129171686412988572296871675315617792e+126), SC_(291.32395009427030756623425168994380173021436598581856529082077021964079070846650014795903342199577971916349469),
+   SC_(86), SC_(2.817104114380550276949479442260611594800566343305742064051019127525600261597959334510402864523409240182751232e+128), SC_(295.76660135076062402108454564104311590532817035267282780003065584899726227197508919350126216812646227748180925),
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+   SC_(93), SC_(1.2438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107487e+142), SC_(327.18528770377521720079313221640554824848949364998856073630783874890588474089124634473199822667108904153172227),
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+   SC_(40.5), SC_(128605024825499153583871394876198775276315329502.23399448614903407061315994486117124488190747754153046903215811), SC_(108.47307506906538405319835014608011400923257152251770526339478054616318429871810201546927060712765437834731737),
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+   SC_(45.5), SC_(17782763615206233014239784940198999344529807230439791963.489194374328707187438700946006866186192821533213803654), SC_(127.21782467361173420691526947082430514513481436440337857389104918810947288227756150292911945608280954278671516),
+   SC_(46.5), SC_(809115744491883602147910214779054470176106228985010534338.75834403195617702846089304331241147177337976122806627), SC_(131.03553699956863893865687753437462691150166690438519162464880483921712379038434623451048929111475187100703357),
+   SC_(47.5), SC_(37623882118872587499877824987226032863188939647802989846752.262997485962231823431526514027133437462158897105082), SC_(134.87498931216194956656405497438133325852359625832827779401953723583620587823081171799210655026815190282597905),
+   SC_(48.5), SC_(1787134400646447906244196686893236561001474633270642017720732.4923805832060116129975094162888382794525476124914), SC_(138.73571902320254509175660961803719786721107673953566908034946535422628394603297205573053548518065272188098451),
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+   SC_(50.5), SC_(4290462912351959810915755196058937673824290225824493824043048531.0826851318323799037707311554284993957036806887), SC_(146.51925549072062722189130104863498715398567934305685600677229608040523620422222439668337779385218886571458801),
+   SC_(51.5), SC_(216668377073773970451245637400976352528126656404136938114173950819.67559915753518514042192334913921948303587478), SC_(150.4412288270019413633582671940897997428010617958942055025828814326138544658548735525821945735977269360210477),
+   SC_(52.5), SC_(11158421419299359478239150326150282155198522804813052312879958467213.293356613062034731729052480669803376347551), SC_(154.38281063467163182470963738768506399535382276990475341107343238215099204833297310656807722165341715406317983),
+   SC_(53.5), SC_(585817124513216372607555392122889813147922447252685246426197819528697.90122218575682341577525523516467725824643), SC_(158.34362380426920988639376257981878050108849927721762651905948474770685157004161439025362202615178169310217637),
+   SC_(54.5), SC_(31341216161457075934504213478574605003413850928018660683801583344785337.715386937990052743976155081310233316184), SC_(162.32330545817117075028092927538388093457614541898877881849892145746017531760191233120507740265697365547119116),
+   SC_(55.5), SC_(1708096280799410638430479634582315972686054875577017007267186292290800905.488588120457874546700451931407715732), SC_(166.32150615984036914124101360613490601756099416813175471745311500264768497982738059734322034762200774042718254),
+   SC_(56.5), SC_(94799343584367290432891619719318536484076045594524443903328839222139450254.616640685412037341875082193128223128), SC_(170.33788918059275796758712239263070231803306217876188507871204200798477539806665591400999430911148980245496004),
+   SC_(57.5), SC_(5356162912516751909458376514141497311350296576090631080538079416050878939385.8401987257801098159421439117446067), SC_(174.37212981874515322675202176478854742198689243310462361933171003383495568165601126924032108461494319287562168),
+   SC_(58.5), SC_(307979367469713234793856649563136095402642053125211287130939566422925539014685.81142673235631441667327492531489), SC_(178.42391476654845798274230180836675461187937396785332182912231329329873429337877261646299272786469893048778372),
+   SC_(59.5), SC_(18016792996978224235440613999443461581054560107824860297159964635741144032359119.968463842844393375386583130921), SC_(182.49294152078626879216904760231894805790412289389877259489006746174379392517070601400393557393623390929098049),
+   SC_(60.5), SC_(1071999183320204342008716532966885964072746326415579187681017895826598069925367638.1235986492414058355016962898), SC_(186.57891783333785286810670284217707775505391050170612331652601534007027274175401184709782561356518969626038896),
+   SC_(61.5), SC_(64855950590872362691527350244496600826401152748142540854701582697509183230484742106.477718279105053047852625532), SC_(190.68156119837464864681335787664915978662182407522070241284247074883802636761079055764207170257404059154781894),
+   SC_(62.5), SC_(3988640961338650305528932040036540950823670894010766262564147335896814768674811639548.3796741649607624429364702), SC_(194.80059837318712083265813436515091651157022496808249824407574798324210565526536231487214127176334080383177797),
+   SC_(63.5), SC_(249290060083665644095558252502283809426479430875672891410259208493550923042175727471773.72963531004765268352939), SC_(198.9357649299294766470431802433713028620715288965277961556930116481712489964186408931566795790464609486896754),
+   SC_(64.5), SC_(15829918815312768400067949033895021898581443860605228604551459739340483613178158694457631.831842188025945404116), SC_(203.08680483582812261067338892962941868886993788609362666447959684653504063618552155529671137165254559527012397),
+   SC_(65.5), SC_(1021029763587673561804382712686228912458503129009037244993569153187461193049991235792517253.1538211276734785655), SC_(207.2534700596298494161242445584396148610010644944376762772852964356020004813074222451020557975538562834135982),
+   SC_(66.5), SC_(66877449514992618298187067680947993766031954950091939547078779533778708144774425944409880081.57528386261284604), SC_(211.43552020227105565085643644815096418603347436471800199512161188121614319947433697344350573132141276354024193),
+   SC_(67.5), SC_(4447350392747009116829440000783041585441125004181113979880738838996284091627499325303257025424.7563768637542617), SC_(215.63272214993286410655358450202382088483243822123873674799828225806962214232090881433945928672860549878834278),
+   SC_(68.5), SC_(300196151510423115385987200052855307017275937782225193641949871632249176184856204457969849216171.05543830341266), SC_(219.84484974781134824592284742455940907022501111461524757099433314096289038771469876398457710226656268841021769),
+   SC_(69.5), SC_(20563436378463983403940123203620588530683401738082425764473566206809068568662650005370934671307717.297523783767), SC_(224.07168349307952785182080543108109789271264615429955763192392717249964214460788839512371322000656690972870255),
+   SC_(70.5), SC_(1429158828303246846573838562651630902882496420796728590630912851373230265522054175373279959655886352.1779029718), SC_(228.31301024565027429959235822849846510707974268029445629347732566784950338815827880054483195431835852093151265),
+   SC_(71.5), SC_(100755697395378902683455618666939978653215997666169365639479356021812733719304819363816237155739987828.54215951), SC_(232.56862295546849726839132201373498795254778360577717452429184833880042227291299412442327413557041790313393277),
+   SC_(72.5), SC_(7204032363769591541867076734686208473704943833131109643222773955559610460930294584512860956635409129740.7644053), SC_(236.83832040516845923908952091180725928909925827011454356180878154910106694218094630129204018001712349577590521),
+   SC_(73.5), SC_(522292346373295386785363063264750114343608427902005449133651111778071758417446357377182419356067161906205.41938), SC_(241.12190696702908833145632015593718196604387240394555010852241978272463308905676168360967784593174084167986961),
+   SC_(74.5), SC_(38388487458437210928724185149959133404255219450797400511323356715688274243682307267222907822670936400106098.325), SC_(245.41919237324787932364503875828789056189003228657176668305521440674389348580981447045274727092479729691196155),
+   SC_(75.5), SC_(2859942315653572214189951793671955438617013849084406338093590075318776431154331891408106632788984761807904325.2), SC_(249.72999149863339315522023491193383448167061692340447857672407449375747169812791781111275143962959290222039703),
+   SC_(76.5), SC_(2.1592564483184470217134136042223263561558454560587267852606605068656762055215205780131205077556834951649677655e+110), SC_(254.05412415488837217459923908996013420385285318162401319788608852473651793897154945257028320795873840597621994),
+   SC_(77.5), SC_(1.6518311829636119716107614072300796624592217738849259907244052877522422972239632421800371884330978738012003406e+112), SC_(258.39141489572086232822203206022013558066053717549500163453203492040040547924000395162374625862728684352850678),
+   SC_(78.5), SC_(1.280169166796799277998340090603311738405896874760817642811414098007987780348571512689528821035650852195930264e+114), SC_(262.74169283208016363933472359653050386256057732588385607408072087485617226157551823286188164106013439735944854),
+   SC_(79.5), SC_(1.0049327959354874332286969711235997146486290466872418496069600669362704075736286374612801245129859189738052572e+116), SC_(267.10479145686852638734193671147580254322732082238725117588822686309450418800594513507752807659094400582867122),
+   SC_(80.5), SC_(7.9892157276871250941681409204326177314566009211635727043753325321433497402103476678171769898782380558417517949e+117), SC_(271.48054847852881260346441896596920945015928899876096297655037065725660949319834924487994044889417863691675359),
+   SC_(81.5), SC_(6.4313186607881357008053534409482572738225637415366760270221426883753965408693298725928274768519816349526101949e+119), SC_(275.86880566295333028995929241976440873016325390882300465288771617518378897996552209526013671263862629072201102),
+   SC_(82.5), SC_(5.2415247085423305961563630543728296781653894493523909620230462910259481808085038461631543936343650324863773089e+121), SC_(280.26940868320014731460699266442698203871964079719296793469286173499967111079349880691287016537937361497556242),
+   SC_(83.5), SC_(4.3242578845474227418289995198575844844864462957157225436690131900964072491670156730846023747483511518012612798e+123), SC_(284.682206976540782615247708691082648114638939428861397029438091659748524393663307535885811179292501418436213),
+   SC_(84.5), SC_(3.6107553335970979894272145990810830445461826569226283239636260137305000530544580870256429829148732117540531686e+125), SC_(289.10705360839759241309022734636925091236076189711213337517709639704948836617314376848780201510190498881332539),
+   SC_(85.5), SC_(3.0510882568895478010659963362235151726415243450996209337492639816022725448310170835366683205630678639321749275e+127), SC_(293.5438051427607205757799701080417115538957976522722923538945074088830240788522694116810880149864652788098403),
+   SC_(86.5), SC_(2.608680459640563369911426867471105472608503315060175898355620704269943025830519606423851414081423023662009563e+129), SC_(297.99232151870343510916225589231643993235265789485666482178117630307391174538398991853661458143325066464081951),
+   SC_(87.5), SC_(2.256508597589087314973384240362506233806355367527052152077611909193500717343399459556631473180430915467638272e+131), SC_(302.45246593264126874667852415929925483346301066821048385407743103970638435351361815495531586043755604177405005),
+   SC_(88.5), SC_(1.974445022890451400601711210317192954580560946586170633067910420544313127675474527112052539032877051034183488e+133), SC_(306.92410472600483749156816344773663327407579797196912523224143696309892856971130823639737878821536810282504286),
+   SC_(89.5), SC_(1.7473838452580494895325144211307157648037964377287610102651007221817171179927949564941664970440961901652523869e+135), SC_(311.40710727801872132416222693692068003471113518476207395936748798430222935522564996502447117583531527308145529),
+   SC_(90.5), SC_(1.5639085415059542931316004069119906094993978117672411041872651463526368206035514860622790148544660901979008863e+137), SC_(315.90134590329953101092279924548390564223856846858296625777328597413442813460285776012923528619664640063105954),
+   SC_(91.5), SC_(1.4153372300628886352840983682553515015969550196493531992894749574491363226462140948863625084432918116291003021e+139), SC_(320.40669575400541144834465416265873800140340077572518981723533406865135034989138112174804319537395034840295962),
+   SC_(92.5), SC_(1.2950335655075431012849500069536466239612138429791581773498695860659597352212858968210216952256120076406267764e+141), SC_(324.92303472628688707907405638154870188429107294226894507778673203921489082798524410420122482929136752267240106),
+   SC_(93.5), SC_(1.1979060480944773686885787564321231271641228047557213140486293671110127550796894545594450680836911070675797682e+143), SC_(329.45024337080526658862567926434816011964125174934484370922361260238866594071356821862451691406029710671217484),
+   SC_(94.5), SC_(1.1200421549683363397238211372640351238984548224465994286354684582487969259995096400130811386582511851081870832e+145), SC_(333.98820480709990790351992533872823938697566148150775041761873803990813851845804149700580316310401615810323734),
+   SC_(95.5), SC_(1.0584398364450778410390109747145131920840398072120364600605176930451130950695366098123616760320473699272367937e+147), SC_(338.53680464159960497339378167148081966247971775019760470716153118126480763889624294980844559913666526391820764),
+   SC_(96.5), SC_(1.0108100438050493381922554808523600984402580158874948193577943968580830057914074623708054006106052382805111379e+149), SC_(343.095930889086289536826499502225010241012659092304896484521563059300107456132654601958350377038769758750347),
+   SC_(97.5), SC_(9.7543169227187261135552653902252749499484898533143250068027159296805010058870820118782721158923405494069324811e+150), SC_(347.66547389743122977926419843414989243712722645052362680457030358912339124368115189455827461325062570433884005),
+   SC_(98.5), SC_(9.5104589996507579607163837554696430761997776069814668816326480314384884807399049615813153129950320356717591691e+152), SC_(352.24532627543503127189645832440574781803008617301484584051601131540513556996213408985573558260160820515403309),
+   SC_(99.5), SC_(9.3678021146559965913056379991375984300567809428767448784081583109669111535288063871575955833001065551366827815e+154), SC_(356.83538282361307446925902353211040222496323010101263029219393567782724332404128833098562961026080141679994657),
+};
+
+static const boost::array<boost::array<T, 3>, 41> near_1 = {
+   SC_(0.5), SC_(1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654162268236), SC_(0.57236494292470008707171367567652935582364740645765578575681153573606888494241303989181163513774485385100490611),
+   SC_(0.625), SC_(1.4345188480905567756360197394564231366322077722066673307706798580950941973020969146309569665256322935994654338), SC_(0.36082949548894018118495768582277948785736912020625817171534369271076040488490050699002363027633270505424458064),
+   SC_(0.75), SC_(1.2254167024651776451290983033628905268512392481080706112301189382898228884267983572371723762149150665821733802), SC_(0.20328095143129537148143297186242969975966731498257864807397605368487331819397460137048111735608518528622179233),
+   SC_(0.875), SC_(1.0896523574228969512523767551028929711478700677675651205137040432536264174658795033595896748361842446382310482), SC_(0.08585870722533432350236558376948770226971912568187111234881601023955661926262775458261489495159171414683063444),
+   SC_(0.875), SC_(1.0896523574228969512523767551028929711478700677675651205137040432536264174658795033595896748361842446382310482), SC_(0.08585870722533432350236558376948770226971912568187111234881601023955661926262775458261489495159171414683063444),
+   SC_(0.9375), SC_(1.0401770111867671714597628173619211286137015344920691109446597166008250518768858003488288550069774030008385474), SC_(0.039390901734582300658227546340953844503363526873275555924583248691684407795252299141939653430330091269382318677),
+   SC_(0.96875), SC_(1.0190325250566739505647300479281360248823250932111783847890502796409452098998953044939908318632260351379776713), SC_(0.018853672334412890535592065704800808901737541753307604147921982817646261473204084765390919252667197071285862424),
+   SC_(0.984375), SC_(1.0092639847156863031513642279872649395665289471965001383071292900827245419873658382338104686447297569473205469), SC_(0.00922133719757878104504544602785480541183714372596115164380073895348968088364637878818475160823616428061231308),
+   SC_(0.9921875), SC_(1.0045703009750313695418190819857497756177949566342185206412658643551771616307782112692210230847197631441840257), SC_(0.0045598888618045588650965994550424584438465646671569627037023442718896355703968374172722045521035725542428421793),
+   SC_(0.99609375), SC_(1.0022698948072663380705186466834088228749332164565353765602844596483728158852340436652910312111169316609714696), SC_(0.002267322487909119869224853055660925945502946111127310832108839278441229781909271272292321713240086669666673579),
+   SC_(0.998046875), SC_(1.0011311540702717194751486537016329361748548795865540183758175786053609255723291288804230660209514957067544756), SC_(0.0011305147975382617314468555514931106445911149072169391421772950013850819314728201357323200246446508198616715076),
+   SC_(0.9990234375), SC_(1.0005646312561051341795833347970072224691414951011585192257183425112236459173288788007843000527615619796876423), SC_(0.00056447191185512338425745752778379540322733814671115601515739643336237598766933267729753552357635796698514596983),
+   SC_(0.99951171875), SC_(1.0002820795014030603122660092346161054092748105743475941025912629061994674154769263987059870282205452011790797), SC_(0.00028203972446050202164990932586792182277028625000579467899259058286790920813945981070397067889871367271780753512),
+   SC_(0.999755859375), SC_(1.0001409807587291625276642931842015920091929545333196812761907195683656908667498991146653620951380087741337049), SC_(0.00014097082187592237051371524368529004109710102132559573440397063444509291284211693505849383520344943672815952199),
+   SC_(0.9998779296875), SC_(1.0000704756363281543589529190831324108350522109231500912943205227968503621121547410111499321275965652178864083), SC_(7.0473153037170086154990456617429606491291306351792371038014266565023997915969279947648648462158546701919903081e-05),
+   SC_(0.99993896484375), SC_(1.0000352341330242672078622365190637840639477682700164032264654052973959618643727802512909912536172530362395266), SC_(3.5233512316782239237891894216581425213234468976061384095946082343932672612109116593768365443514987235802189247e-05),
+   SC_(0.999969482421875), SC_(1.0000176161453045753153818203998783392498353944168731950825723484510408117073964447044091192763939536504419548), SC_(1.761599014210985977615986870219441253152302650866741955007594785183512559840534060419786772025834904844368172e-05),
+   SC_(0.9999847412109375), SC_(1.0000088078423600712432306459072726327005468658815965923272360897211863953044660937258887228363756570934413742), SC_(8.8078035712554869804636737104615719706676701895738198043786296563843343116436624246517174019991164055073256752e-06),
+   SC_(0.99999237060546875), SC_(1.0000044038636081905928511858888125298767090169025230723302909504779910697224206944418494971066153925981249059), SC_(4.4038539112117225162418369217896025239570399579722287850444858130021481865621717750113878487355145402430600115e-06),
+   SC_(0.999996185302734375), SC_(1.0000022019174112851692250057380852275017766147260950955247390757507613697962418975625931771397155345075852518), SC_(2.2019149870685847804328915717680872509667301348628950203352825315866810742426434243009968987918506631520331535e-06),
+   SC_(1), SC_(1), SC_(0),
+   SC_(1.000003814697265625), SC_(0.99999779811137403283143208760327600675756902143756596759838698221325215539409430568396858379750535139420226287), SC_(-2.2018910501274876377141818311089755229311746446021640254293045758059176229682918834288238505534445292777340924e-06),
+   SC_(1.00000762939453125), SC_(0.99999559625153308141476652368576165846163213500202659668397521943996956814485005524714716726321435556951990071), SC_(-4.4037581634473325702218400982291070742088066919117076633155854060759992379786313395823905915149428408829547678e-06),
+   SC_(1.0000152587890625), SC_(0.99999119261820501686706957175471991293910990979611602622805038287033968066042427663218511800321072127022156621), SC_(-8.8074205801979051940611576319016798990780755527146458978906571204868908384222945024215475751136282541034767583e-06),
+   SC_(1.000030517578125), SC_(0.99998238569695577840308912119540189506999309885932228281903127593682897986879129264261414709811177673988286746), SC_(-1.7614458177879180593389151228747594238394118848425722604531270820619091802647966796813580302792743080800024461e-05),
+   SC_(1.00006103515625), SC_(0.9999647732360171681023427372223702590453913910199390605542249806417221689763739196579994699370896803042256543), SC_(-3.5227384459853889912226246727720809494104943993200852437494031875415481631698870730758441698569691729723713575e-05),
+   SC_(1.0001220703125), SC_(0.99992955383983791386301091466222734539118060355467854238385118863460180336591770779111045679237945045786873776), SC_(-7.0448641609366567338214494075777693865307332448868837181756428608376087273339198390868816550906450304788582582e-05),
+   SC_(1.000244140625), SC_(0.99985913714594034205878980722394270651070266886680721525579148722985946512786872299585878169952950155084026009), SC_(-0.00014087277616326635097030584178411951846640279051937897896521676513490342036437475141116837467757236371463821202),
+   SC_(1.00048828125), SC_(0.99971839211735866523005832066420299515608817676196471144193889051244066546497815377121028399780635540938064397), SC_(-0.00028164754158680683182392054639170724065894038359476068703975750485180064764636731267884353254046569566588895557),
+   SC_(1.0009765625), SC_(0.99943725522028108434521359203118190516500797436636326722510244581259842767599446851324731597976259518948982942), SC_(-0.00056290317999120463170214992168514502772879541390257627479851327242521375496316078955498047974490391404458478547),
+   SC_(1.001953125), SC_(0.99887639185670229384018166594439725095095947312101240404656716276062253854369107023559370003430011705769110439), SC_(-0.0011242398641763655930882350026740454995347120448051246807766325452465319026604793370057190525283304374866233861),
+   SC_(1.00390625), SC_(0.99776028924350090452551500508904405795133755282195340238940486963282177163716541194432652172131971470978813773), SC_(-0.0022422226599611501447654819092305299298079260417770143567963238377892856797491379587790257042671743196875073852),
+   SC_(1.0078125), SC_(0.99555044071429420946514324392976594135804811283276950233333294520174555163201058126609151736557274229008810138), SC_(-0.0044594880379522990866700789223521091987576375799193257939241836415369699743362378844236187907877816282112942101),
+   SC_(1.015625), SC_(0.99121906984205173417648186621914503971475375794490339430947476500778081798552753056206174599314583780671923895), SC_(-0.0088197097057330692048892296986270663800008130918961793125380525215482778706344040845486366868779812028188116857),
+   SC_(1.03125), SC_(0.98290109928362691478263486825456935046998823743496277043928362292034206769975910596393892249337556712953037341), SC_(-0.017246775001768067402891262022246231797366446505106380535078130887485701437593237496879558493144914283530453506),
+   SC_(1.0625), SC_(0.96758006759952488475997629871543175166460210218111998646615104815739441126428563127884962077687042597437275844), SC_(-0.032957100293577819083198835750474183157056130167483637604037935415773601610870065861297777718490000655850137079),
+   SC_(1.125), SC_(0.94174269984970148808740373015189170307630244851863449262289098722208295714986330160419107835129460670740615211), SC_(-0.060023184126039582931405843207430114278219450946316157230075155800865906698601740995330664462916031985954246411),
+   SC_(1.125), SC_(0.94174269984970148808740373015189170307630244851863449262289098722208295714986330160419107835129460670740615211), SC_(-0.060023184126039582931405843207430114278219450946316157230075155800865906698601740995330664462916031985954246411),
+   SC_(1.25), SC_(0.90640247705547707798267128896691800074879192072001636685834449989247981088468228040459003418084607509036793785), SC_(-0.098271836421813161463853802696635840225622703607649957741372996452825981263690594995652837575223508897214201633),
+   SC_(1.375), SC_(0.88891356915622534074242756406624469120777530125959687041567260050243557425925067192449287563913055244069020048), SC_(-0.11775527074107877445136203331798850424653921590958917561520411328795258332429161436283053688418097696213797973),
+   SC_(1.5), SC_(0.88622692545275801364908374167057259139877472806119356410690389492645564229551609068747532836927233270811341181), SC_(-0.12078223763524522234551844578164721225185272790259946836386847375732473702728167571405169185867383369099657491),
+};
+
+static const boost::array<boost::array<T, 3>, 41> near_2 = {
+   SC_(1.5), SC_(0.88622692545275801364908374167057259139877472806119356410690389492645564229551609068747532836927233270811341181), SC_(-0.12078223763524522234551844578164721225185272790259946836386847375732473702728167571405169185867383369099657491),
+   SC_(1.625), SC_(0.89657428005659798477251233716026446039512985762916708173167491130943387331381057164434810407852018349966589612), SC_(-0.1091741337567953724659793453255625768435299286059898687340484442952414733165258751974324726197437467717935594),
+   SC_(1.75), SC_(0.91906252684888323384682372752216789513842943608105295842258920371736716632009876792787928216118629993663003518), SC_(-0.084401121020485555957786034131397731743842395915182408432689631664419632526805862967629781823020101009811140644),
+   SC_(1.875), SC_(0.95344581274503483234582966071503134975438630929661948044949103784692311528264456543964096548166121405845216713), SC_(-0.047672685399188299643978037161862272319696547817033461553833868303044383894387124447316587449792821486112114416),
+   SC_(1.875), SC_(0.95344581274503483234582966071503134975438630929661948044949103784692311528264456543964096548166121405845216713), SC_(-0.047672685399188299643978037161862272319696547817033461553833868303044383894387124447316587449792821486112114416),
+   SC_(1.9375), SC_(0.9751659479875942232435276412768010580753451885863147915106184843132734861345804378270270515690413153132861382), SC_(-0.025147619402988871014696369343039083625545098476478286910794564170216799157259831777764021648432959310687273318),
+   SC_(1.96875), SC_(0.98718775864865288960958223393038177410475243404832906026439245840216567209052357622855361836750022153991586909), SC_(-0.01289502598016741062140421704372482102582419956737669469875999217434043177771826105006088439333961006574460579),
+   SC_(1.984375), SC_(0.99349423495450370466462416192496392488580193239655482364608039492518197101881324701140718007215585449501866336), SC_(-0.0065270197705603875625040654329734641090978172082102811515005007943036017452347133121052021549402564023948207056),
+   SC_(1.9921875), SC_(0.99672209549866393696727362040773610549578093353551368844875597478990234005553775649368023384187038999462008798), SC_(-0.0032832885992213340080874430359011232107452519285440532337925143246804564808907940778759648203239061173174780116),
+   SC_(1.99609375), SC_(0.99835477803067545393743068321980175716057800857975203524559584847787135957318234818222348812044850614667079983), SC_(-0.0016465768332272092230929305879117388972032040939027611887512736747418892484504411587697933136947665600605804507),
+   SC_(1.998046875), SC_(0.9991758197849782200230487539873719343463883661498615300586773098971473300145706735505784897201293248167022208), SC_(-0.00082452003826508882618063669037370149307251988162149488885378333978767712311305925304980152039311581105853907029),
+   SC_(1.9990234375), SC_(0.99958751735839409400948608544661952010344897410984879410928697694236502907561273731758040913474128701681685356), SC_(-0.00041256773597148940171061762396967043263766321508278648166258325752450997988091121880044028815700667736697239274),
+   SC_(1.99951171875), SC_(0.99979366051727151584922291059729451551405543810824683844140835701610854970677796305573786887049192188809256652), SC_(-0.00020636077364837244333505423402898916069048973940689454315455907351479369424786720832798217923629191781310389304),
+   SC_(1.999755859375), SC_(0.99989680571459861341571906264387341779239383515965432002587914956847107033675313400257682074697025047121033239), SC_(-0.00010319961029799208618175017469614360196936704565252345328392393606626650213932477070288037281599692906336527261),
+   SC_(1.9998779296875), SC_(0.99994839672084520414479777346312714564818269771380888644919182156115738721443597212186634448939739571529633426), SC_(-5.1604610649812155427880333694545946032583928291310459746204246757312291926312160269132259332526873487515506522e-05),
+   SC_(1.99993896484375), SC_(0.9999741968262534527384281628962293685497837089579882039831044149772484157241222692173401067937018711238227639), SC_(-2.5803506654161686483250535590236551252779944206866471779380407628046074943126208389937084185400792859175711612e-05),
+   SC_(1.999969482421875), SC_(0.99998709802957748472165271328866008124387684231133068796602319768357099234668760081876750522856447385449314981), SC_(-1.2902053653651567952294533933096375210439735077108891847803568051352256875471682427281829037705917110753962528e-05),
+   SC_(1.9999847412109375), SC_(0.99999354891890056257515137297871569799850980919724170956673304961971970239682289813730037614565854931058777556), SC_(-6.4511019077505913999768740192962600117284299376931233759840535395258322495171008075393562455732103434271779936e-06),
+   SC_(1.99999237060546875), SC_(0.9999967744354781276641509840822795646932230190615127686569485868080197715727798678679478106327910318239504207), SC_(-3.2255697240167648011165810641817631895943837273553238407652697319745391186873682927024999574143933330895472859e-06),
+   SC_(1.999996185302734375), SC_(0.99999838721174601184126339217834043805312434049279307032066984380543456177710052395916314405417041535347717533), SC_(-1.6127895545325331730098184535055500629425336236844800875911774081883807398878631221152589710004973196673112522e-06),
+   SC_(2), SC_(1), SC_(0),
+   SC_(2.000003814697265625), SC_(1.0000016128002401193107443412962371398600117917051343176882902353374213648826021261731107498153573621415449226), SC_(1.6127989395584018429976031457249567704200403529787152140378258756848454641419753130324079036036484703727117411e-06),
+   SC_(2.00000762939453125), SC_(1.0000032256124663969442572979664904621852226931085253304073996272098932739673609259903665211081794374661535793), SC_(3.2256072641202395856634567509031717314101059280836768227158909313339479749111914772604792191845536704065057073e-06),
+   SC_(2.0000152587890625), SC_(1.000006451272877535864519325623917830418250216038636108564876372408652521536899197656914002663824783933815167), SC_(6.4512520681644922116961675029871399835844045626819177993485997811835355053462779555097865070545798819626865222e-06),
+   SC_(2.000030517578125), SC_(1.0000129027375349091336312076553993133407166704260599330351817590690292004797492025331366878130500736080695094), SC_(1.290265429530719797568036294024708700465577586146791905518758190381008775700560429617670389988551638710825012e-05),
+   SC_(2.00006103515625), SC_(1.0000258062421961242283255462273276791051475794593323673816513859750132897142264815427442208812997077505332853), SC_(2.5805909220784635000932542921243182948670906688837032708651521147551347202451406873759019347916128878550354773e-05),
+   SC_(2.0001220703125), SC_(1.0000516155529531284521055204867710743151785504056984006043570298441519256563676489175498013305621139650047081), SC_(5.1614220916310804284840873086425506800915170103272447074807387337444948198364058458841314609676466202956173574e-05),
+   SC_(2.000244140625), SC_(1.0001032433805951126501127539542219893980343833855735256110785456984214425363472065708089425349053632455548207), SC_(0.00010323805136409635819017324403933418099476148841019654151466840813072064903976559624757024778209256822407270965),
+   SC_(2.00048828125), SC_(1.0002065358635097192658151850785898130248167354420242645236976497363236931336622251353563827692896592938578806), SC_(0.00020651453791454435671312914625370260965873904340641431837448444290893250461685654148110548976824081184555996094),
+   SC_(2.0009765625), SC_(1.0004132681648321400916444646796498562442706774663304188532519599198372933280218068614047840617740820988545656), SC_(0.00041318279306425426425867498633204164488303891988195996296008500197515836906271837439664711441425330386370044763),
+   SC_(2.001953125), SC_(1.0008273223095474155078382707606949018317230658419518813982206142503893794392842168571475939796796094738194073), SC_(0.00082698026708538384658581452916749300081501348027476197514651933598645209011126954522998623663964384545076784737),
+   SC_(2.00390625), SC_(1.0016577903733583299338177980776731363027099651376641578674884824048249816826230893347340471967936198453732476), SC_(0.0016564177556961728691718611866123770809158280631257907208834264321979231840494137090508982490201065832908121409),
+   SC_(2.0078125), SC_(1.0033281785323746329765896755229672377749078637142755140703121088361341887541356639322328573449912793392294147), SC_(0.0033226524041026498607928211387846544793681646025987622876953484650611433293961582857408451320107812632540480799),
+   SC_(2.015625), SC_(1.0067068678083337925229893953788191809602967854127925098455603082110273932665513982270939607742887415224492271), SC_(0.0066844768302321849459648163438197694978676797752971342950752926557336453432652463099799428682789931143967973053),
+   SC_(2.03125), SC_(1.0136167586362402558695922078875246426721753698548053570155112361366027573153765780253120138212935536023281976), SC_(0.013524883664985620968136945574525932294330293453783975814783864413614105845778864422474269341128528209147896345),
+   SC_(2.0625), SC_(1.0280538218244951900574748173851462361436397335674399856202854886672315619683034832337777220754248275977710558), SC_(0.027667521522857023497407296289946080129146344977240133210479764492944486311282352627343782333338196694492200886),
+   SC_(2.125), SC_(1.0594605373309141740983291964208781659608402545834638042007523606248433267935962143047149631452064325458319211), SC_(0.057759851530343871607388266263091590790261261618416983877273482993941813829532045934310864175292082963981368659),
+   SC_(2.125), SC_(1.0594605373309141740983291964208781659608402545834638042007523606248433267935962143047149631452064325458319211), SC_(0.057759851530343871607388266263091590790261261618416983877273482993941813829532045934310864175292082963981368659),
+   SC_(2.25), SC_(1.1330030963193463474783391112086475009359899009000204585729306248655997636058528505057375427260575938629599223), SC_(0.12487171489239659430244128761319866314897838194035725592991487603456576250457773842275438652511872681874913935),
+   SC_(2.375), SC_(1.2222561575898098435208379005910864504106910392319456968215498256908489146064696738961777040038045096059490257), SC_(0.20069846037745584135888518027261109134866723494706223724132356736244017467986095189463419012919775182657330309),
+   SC_(2.5), SC_(1.3293403881791370204736256125058588870981620920917903461603558423896834634432741360312129925539084990621701177), SC_(0.28468287047291915963249466968270192432013769555989472925014585038677593422163257555370073595863956755497197314),
+};
+
+static const boost::array<boost::array<T, 3>, 40> near_0 = {
+   SC_(-0.5), SC_(-3.5449077018110320545963349666822903655950989122447742564276155797058225691820643627499013134770893308324536472), SC_(1.2655121234846453964889457971347059238991475408179110398774915452294625069121077554976749621341635413930063871),
+   SC_(-0.375), SC_(-3.8253835949081514016960526385504616976858873925511128820551462882535845261389251056825519107350194495985744901), SC_(1.3416587485006664180414088132747834874363789654642744823426893875534469775753756869339978564518566788922789946),
+   SC_(-0.25), SC_(-4.901666809860710580516393213451562107404956992432282444920475753159291553707193428948689504859660266328693521), SC_(1.5895753125511859903158972147787828359106675837030891563153360726716605621333640325822077713489225603702247544),
+   SC_(-0.125), SC_(-8.7172188593831756100190140408231437691829605421405209641096323460290113397270360268767173986894739571058483852), SC_(2.1653002489051702517540619481440174064962195287626368747108560387197374851717119014002048759408477767728350775),
+   SC_(-0.125), SC_(-8.7172188593831756100190140408231437691829605421405209641096323460290113397270360268767173986894739571058483852), SC_(2.1653002489051702517540619481440174064962195287626368747108560387197374851717119014002048759408477767728350775),
+   SC_(-0.0625), SC_(-16.642832178988274743356205077790738057819224551873105775114555465613200830030172805581261680111638448013416759), SC_(2.8119796239743635383271560321736601168053640643142965724073032866652588956740311615653929614160048414373882428),
+   SC_(-0.03125), SC_(-32.609040801813566418071361533700352796234402982757708313249608948510246716796649743807706619623233124415285482), SC_(3.4845895751341394376217526729956836492792382135545838747513220302846143713216776627947075542347606347812932675),
+   SC_(-0.015625), SC_(-64.592895021803923401687310591184956132257852620576008851656274565294370687191413646963869993262704444628515002), SC_(4.1681044205572506375484381747769142138648379498874926763678807959138514127018146724233647135867482895326211992),
+   SC_(-0.0078125), SC_(-128.58499852480401530135284249417597127907775444917997064208203063746267668873961104246029095484412968245555529), SC_(4.8565901527814217247857214496622784349723475051889437415484624107256449893582598466583154935270343853482532093),
+   SC_(-0.00390625), SC_(-256.58109307066018254605277355095265865598290341287305639943282166998344086661991517831450399004593450520869623), SC_(5.5474447669674715952070818247210734705495040209931693437975489152255902055394669961191989376845895870056785217),
+   SC_(-0.001953125), SC_(-512.57915088397912037127611069523606332152569834831565740841860024594479389303251398677660980272716580185829153), SC_(6.2394551398370460464865359486750822233240923241495142262282973804419276796587252605885022629924128386978750007),
+   SC_(-0.0009765625), SC_(-1024.5781824062516573998933348321353958084008909835863236871355827314930134193447718920031232540278394672001457), SC_(6.9320362775113082175565786721095494761582286817492636972219574913672985956846164887359308054877632333869999562),
+   SC_(-0.00048828125), SC_(-2048.5776988188734675195207869124937838781948120562638727221069064318965092668967452645498614337956765720147553), SC_(7.6249010258838589056112032453658101706532717642128135900064726950101977508747813314752005676395042766347340988),
+   SC_(-0.000244140625), SC_(-4096.5774571877546497133129448824897208696543417684774145072771873520258697902075867736693231416852839388516552), SC_(8.3179071375412196353772991727418041069470987133443886451825640845551685565491787042054184177922276999407459318),
+   SC_(-0.0001220703125), SC_(-8192.5773364128002405085423131290207095607477118824455478830737227517981664227716383633402439892710622649254566), SC_(9.0109838204323261925101725694129128145879930379896700959398781376806821096039472721561708996019050965927211732),
+   SC_(-6.103515625e-05), SC_(-16384.577276035469593933614883128341038103720235335948750462409200392535439185883631637151600699265073745748403), SC_(9.7040957613515511140804875923086885344822151155125496190736160789898546402483381275986803463153051405752565365),
+   SC_(-3.0517578125e-05), SC_(-32768.577245849340323934431490863213420538606204252100856465730714043705318027966700074078020448877073217681975), SC_(10.397225324389321751118257981741350715545033538430337479229750218348756164671019139428554102814000571479070659),
+   SC_(-1.52587890625e-05), SC_(-65536.577230756909628996363610179019256663039402416314274757744375967671602673489918419843339804715063275773901), SC_(11.090363696762696206162694407004535550779972817434273639750684530523954335849427093356237883660100999788429204),
+   SC_(-7.62939453125e-06), SC_(-131072.57722321085275738619063681843591600000426344750413647589546105124549065712526188209728475829273862142767), SC_(11.78350647337298147181546230662592344688602624116429729228034520587350457563299672747145157032696642372856542),
+   SC_(-3.814697265625e-06), SC_(-262144.57721943786393940131990420461387822572889075747272123720027360758852386603599464842582811358907795642824), SC_(12.47665145199400263809495861913874999344625338521472943706726050616361678213557912354896418693243516760668981),
+   SC_(3.814697265625e-06), SC_(262143.422788108034462562933172673185515456173555729293010111557065310773023629457669218260431013242835881758), SC_(12.476647048187965442022540472065347116383479487309949972008214741576509389536881912613656457111685822311497381),
+   SC_(7.62939453125e-06), SC_(131071.42279188094404719627779254015209788304719898563008056199996243569123588178644135407350752403201320811243), SC_(11.783497665760906812760375842948903428176428075317647408343896845802285497485572186668336976548526173271184294),
+   SC_(1.52587890625e-05), SC_(65535.422799426683985400271454517324214377507048398259894881509891790581311761565393366883893458417829165240563), SC_(11.090346081538544752770519882173193187528103071688531351284982261237177464624277027399310810395123887043769593),
+   SC_(3.0517578125e-05), SC_(32767.422814517846946712424323330929297653533863422272563414016849898012012340553077313180372110926700212481801), SC_(10.397190093941001762077888432721419773538263621284980386087595611130083710453618086121153091365977520386941415),
+   SC_(6.103515625e-05), SC_(16383.42284469890528218878340665131432419969255047068156812042208283397601650891029967666331544927732210443312), SC_(9.7040253004547744779513374741677442322475077760995803568370826388756352920940943196113558195081630558962910106),
+   SC_(0.0001220703125), SC_(8191.4229050559521903657854129129664134445515043199266192085089372946579731735978622247768620431724581508606997), SC_(9.0108428986376796558566793644622196072876364393508694347316583669855087095187579636778323821368920315957144647),
+   SC_(0.000244140625), SC_(4095.4230257497716410728030503892693258678381316784423536877219316935043691637502893910375698412728383522417053), SC_(8.317625293943180446655815151656334697387535209532543670469194897155588560215972212518948755582346678140303134),
+   SC_(0.00048828125), SC_(2047.4232670563505463911594407202877340796685860085037290330908477694784828722752589234386616275074158784115589), SC_(7.6243373386178115967577294154935505415898425375792130346404403469224780410189955043518177534280650972663504023),
+   SC_(0.0009765625), SC_(1023.4237493455678303694987182399302708889681657511559856385049045121007899402183357575652515632768974740375853), SC_(6.9309089024194618895406190646600805357272725481886499649320015816615110059419839952690782894844419715059702254),
+   SC_(0.001953125), SC_(511.42471263063157444617301296353139248689125023795835087184238733343873973436982796062397441756165993353784545), SC_(6.2372003851753314191620008581209150671799664971974921624053434528952960658245919611157642239152398574405267058),
+   SC_(0.00390625), SC_(255.42663404633623155853184130279527883554241352242007101168764662600237353911434545774758956065784696570576326), SC_(5.5429352218196013251930914897561820146741931488402650186086437521093596900778085868881275902670823260163243408),
+   SC_(0.0078125), SC_(127.43045641142965881153833522301004049383015844259449629866661698582343060889735440205971422279331101313127698), SC_(4.8475707758816648668339547712848838673297433029418674530508358828122183838135267713566196701841430311657990729),
+   SC_(0.015625), SC_(63.438020469891310987294839438025282541744240508473817235806384960497972351073761955971951743561333619630031293), SC_(4.1500633736539387872985034990504323420729999930696353454115420044388134539475338895506313252916341440491900744),
+   SC_(0.03125), SC_(31.452835177076061273044315784146219215039623597918808654057075933450946166392291390846045519788018148144971949), SC_(3.4484891277979584796832693452686366085801342252961698900683219165794824084108803405324370764889485234264769516),
+   SC_(0.0625), SC_(15.481281081592398156159620779446908026633633634897919783458416770518310580228570100461593932429926815589964135), SC_(2.739631621946203418585729650082232089144944407273537378878682102557800886267908796562155530267184749512155787),
+   SC_(0.125), SC_(7.5339415987976119046992298412151336246104195881490759409831278977766636571989064128335286268103568536592492169), SC_(2.0194183575537963453202905211670995899482809521344496051319648726793149592104824058222593165263400306400501967),
+   SC_(0.125), SC_(7.5339415987976119046992298412151336246104195881490759409831278977766636571989064128335286268103568536592492169), SC_(2.0194183575537963453202905211670995899482809521344496051319648726793149592104824058222593165263400306400501967),
+   SC_(0.25), SC_(3.6256099082219083119306851558676720029951676828800654674333779995699192435387291216183601367233843003614717514), SC_(1.2880225246980774573706104402197172959253775651128605504999870225339612626756988362160738164176138661867887604),
+   SC_(0.375), SC_(2.3704361844166009086464735041766525098874008033589249877751269346731615313580017917986476683710148065085072013), SC_(0.86307398227064746240508909413401549533247062934842713501214158155473398936618356558114368929134299687589643426),
+   SC_(0.5), SC_(1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654162268236), SC_(0.57236494292470008707171367567652935582364740645765578575681153573606888494241303989181163513774485385100490611),
+};
+
+static const boost::array<boost::array<T, 3>, 40> near_m10 = {
+   SC_(-10.5), SC_(-2.6401218205477163162463853253112404396824684325225876560591681547776531412320896733077825213069197651551576322e-07), SC_(-15.147270590717841146101176395526319634361233144976539395806067304933214009506219449748237918628779426212247756),
+   SC_(-10.375), SC_(-3.8538247770911000161675656207521103284982443268350536808271424732765885254708394649373422005676760008400862845e-07), SC_(-14.769029547207010126880427205161037877615976647148661939990931059310398340635726942011822643125761107580456434),
+   SC_(-10.25), SC_(-6.7808180432946731304891004492754985848002028127645937925987831604279861015230319565197133049475246720265617509e-07), SC_(-14.203997900931090651611168760703872067369359534543268877527871797142641008794669162514478870187681525502707551),
+   SC_(-10.125), SC_(-1.6848312620525174562168823278898954773941569991332984138613039137544611702464441186507014913285532369128084283e-06), SC_(-13.293845140389538484236785089823191703003394811834373853890795281383497051542460456218069071634943022448287749),
+   SC_(-10.125), SC_(-1.6848312620525174562168823278898954773941569991332984138613039137544611702464441186507014913285532369128084283e-06), SC_(-13.293845140389538484236785089823191703003394811834373853890795281383497051542460456218069071634943022448287749),
+   SC_(-10.0625), SC_(-3.8303281070203166358893255038075515689788548682068602059827696781608124010000092944728511165171308472386964422e-06), SC_(-12.472560090811655790399293558057858441571483321784488448140552924013774813892809787659569031629236371679128839),
+   SC_(-10.03125), SC_(-8.2062995295301977865739252471114097581399704534847069178172887098466492511561233864084602910264856198265594463e-06), SC_(-11.710608463327203877922439589134156179378847473881039377256783779098476940306696210613202752304294682131268418),
+   SC_(-10.015625), SC_(-1.7006998746430383834615574873683499132247356904352807785456785414586550135480125148421847460446894633835659992e-05), SC_(-10.981885607663038890372660918270813522611221711995411719058690162881036908939868531688553907126919411287616518),
+   SC_(-10.0078125), SC_(-3.463458256516313677243695342138690766684809142189547960850013490387874801698738453473277516306844214190487446e-05), SC_(-10.270657878961264244105831591933113500642522530339833160069979898957856531876909280009891153999986577303842319),
+   SC_(-10.00390625), SC_(-6.9903328747582090334264466990359269997790653299612523014453525670654238269220629079646079250632662914745041101e-05), SC_(-9.5683972882906823868530086836819678493673162133442777382100031989521977539800474524598896364796335003838921442),
+   SC_(-10.001953125), SC_(-0.00014044773639004517085218511186084665040117005949411662519219403186667777541881413063638150159120500428997284589), SC_(-8.8706751213823100948059663871462545011894831848821935981721426737578215404617912777046971345675238130508911839),
+   SC_(-10.0009765625), SC_(-0.0002815400414018834118126663382034402741479689594171010756083558783027365535191173266085209272398959320435563284), SC_(-8.1752358775093991610978176096814198666058029396327554625972822598030753524724073225250659907922887435361988651),
+   SC_(-10.00048828125), SC_(-0.00056372640438562406339795157397595352175803840824393729467758565225052293961979009282839532228849140550901819684), SC_(-7.4809415227716591112920917790199883465363850706824864438555393281281733627770678389764713533283267723802617478),
+   SC_(-10.000244140625), SC_(-0.0011281000088666906790099028077029688733534633312018939073522383169843972006791891083746340544137656977029625796), SC_(-6.7872204694935549116145712572380064251227733468906266602833942926516998884084256262328209944154842509580856106),
+   SC_(-10.0001220703125), SC_(-0.0022568476575951849572338512766050487930850625293184263204693320098204581647371184438839524848065868431985384286), SC_(-6.0937862811673102385457363204870585320705297624776227202341269453083012501968923010671604671028494883139694941),
+   SC_(-10.00006103515625), SC_(-0.0045143431750628939550724288601553265505525647611190489661018364911927229954027861461294408164473421068389146262), SC_(-5.400495578872419834979145899538225218652673336401402460949985869151998056499718543213055629562601331078338338),
+   SC_(-10.000030517578125), SC_(-0.0090293343200355756478399974744597147912262573396960327275240218667234867315410338423464826636465932829121757205), SC_(-4.7072766329820541734836113471950573963927578010264651492145413498249528107073028945299745857456918034683085008),
+   SC_(-10.0000152587890625), SC_(-0.01805931666500754906434806474181437991941766881544879124877659844144751708341968615676038223507335972382445726), SC_(-4.0140935686411618585462277846106506660699161075773229965810063609108594642004394925755368750818713942886926083),
+   SC_(-10.00000762939453125), SC_(-0.036119281382466795747699608016365542645360304984522876478635716949605359588149124449398506063147283098365457863), SC_(-3.3209284459118088536424235871595334843808788990922450452806348667114328163342888050473951063973084685876207443),
+   SC_(-10.000003814697265625), SC_(-0.072239210831143437784442631076517501061328351017534557386825420427208991397828223393126909285392207582909685565), SC_(-2.6277722941974261500946577710005105141808674548717098205508892010986355128153814698800661001225613213555912579),
+   SC_(-9.999996185302734375), SC_(0.072240506991080140226280464486758514533737515018901029832903166227124013202904526666574637362350414490614743936), SC_(-2.6277543517490842715915533024499471614985034496459263514869947373789277617858159307952003679450429054090048394),
+   SC_(-9.99999237060546875), SC_(0.036120577542403640698404710834445867288551703065790706542765373704676585286302915440960140762729857943113743194), SC_(-3.3208925610151250976409481654228433171371492088599903431349931831149381203023886830928385314956526143963256776),
+   SC_(-9.9999847412109375), SC_(0.018060612824944964050522420153647987326759440429090182879472515318648397708797273550747584584544200555283075984), SC_(-4.0140217988477943545811450640575117955018130004911076783885699392302224415399109280900833116816446077477975638),
+   SC_(-9.999969482421875), SC_(0.0090306304799752707758941626596459565197411504398981405305672474400443191735267440971853907490817836401673825686), SC_(-4.7071330933953192298563908896026844530558294019434613821600142656362705685591427608559131087722307670071704099),
+   SC_(-9.99993896484375), SC_(0.0045156393350117096506906235123693717642525834884264548975756002470555437234213226039016466275186830824011549991), SC_(-5.4002084996989504621482648573278564806711207379749341638368371970751514723243487188721029178770263189901608029),
+   SC_(-9.9998779296875), SC_(0.0022581438175804829238248097866602612484145368186317691587687683989148226748938244465292050256428844284406054563), SC_(-6.0932121228203756082724533754817787769633622618085393842967788052554447785887230884400714289450736790039304928),
+   SC_(-9.999755859375), SC_(0.0011293961689979177409582533434385718648499977117105373699571877447937321743618349398302296852834539762401049319), SC_(-6.7860721527997185741758434624052069356140387438793337035461509813989634836354221109803516247925070522339098306),
+   SC_(-9.99951171875), SC_(0.0005650225651005676902373042742306456894426751663163785063372803519818090560489289692863232794723772605605138254), SC_(-7.4786448893842498212775003061077738739629442621603838905244848422998329225846889688165479130280062735500001068),
+   SC_(-9.9990234375), SC_(0.00028283620445169623360208006410504918893303259870304545298219926493573852339806310324072330819283446263445648985), SC_(-8.1706426107366876599766469685063136982163173031269613541112734472501752431806154620855941523707592358821573282),
+   SC_(-9.998046875), SC_(0.00014174390877938173881755385055519122068838618578180179002632489356897973325849852862365474365887363071432149114), SC_(-8.8614885878537437239909034045275205498625084713195372673470850432327423783025263246622420625330828387002099979),
+   SC_(-9.99609375), SC_(7.119953849576511774290270246050426493187892612378450120522214272512656687770624516610244744772466266046045893e-05), SC_(-9.5500242213684027018628650534771547352625329091599816412816260273825896031500048046845276735177601595018177102),
+   SC_(-9.9921875), SC_(3.5930941760756412433601439672728188991952641189953864041371230226803762792766846195289464629690885330539776437e-05), SC_(-10.233911746195529494341636009604122245422344310878454861680046147466235002599645306931790254829751980426939683),
+   SC_(-9.984375), SC_(1.830395592410737084371847753712605958897829969992610952084772709639305869757082989106363209867797862442107124e-05), SC_(-10.908393350762171699657964143696240687663821790887704824802780507800640785598149475120005640690502223974553771),
+   SC_(-9.96875), SC_(9.505651717966543211040666528035462899478708721352313858572893055517428213772311465457742360062673498799299903e-06), SC_(-11.563624018570459074426000149190015660069301525083588717478426971926250695139858700844030463876648475101876574),
+   SC_(-9.9375), SC_(5.1393098719794843214983768167746592270465393195053446784457500258107908538070746947791874439824691854907937821e-06), SC_(-12.178591753663558334615607691089929332278639626474014617397553470892979866404787276458175722283328560235748117),
+   SC_(-9.875), SC_(3.0331378349844118367916527868421330423279022961121689459116361879468133814976899135069225672564620763035808775e-06), SC_(-12.705912885191709216330649855766060886050511713221700171057560196038359990767026197941657384611796420084690294),
+   SC_(-9.875), SC_(3.0331378349844118367916527868421330423279022961121689459116361879468133814976899135069225672564620763035808775e-06), SC_(-12.705912885191709216330649855766060886050511713221700171057560196038359990767026197941657384611796420084690294),
+   SC_(-9.75), SC_(2.1975471554628538878687097038174467045673963558516761458733594224768790871811561734110581396760034627420207205e-06), SC_(-13.02816874893114553892881831326149507953160856763706972216958177840795541404570842934499260464645281219524649),
+   SC_(-9.625), SC_(2.2482144262764106485744600287631988468245040795826756238383242667919200286457284010570008975693593479892337832e-06), SC_(-13.005374245127447905440562160338200328457464849456589811238656297567198731475962077658512536105296188433561627),
+   SC_(-9.5), SC_(2.7721279115751021320587045915768024616665918541487170388621265625165357982936941569731716473722657534129155138e-06), SC_(-12.795895333554363459017810536618790768152157991932184009732662830851533475505235930692826992223594497973217513),
+};
+
+static const boost::array<boost::array<T, 3>, 40> near_m55 = {
+   SC_(-55.5), SC_(3.3139392476846767283772683472966711027379358916150215150100091113288581639716577666936138823743494933582485708e-74), SC_(-169.19315929474335779344369504127764360638576736584657350719841893651263762818182983422637103883600009475295023),
+   SC_(-55.375), SC_(5.9318859132518291480114318459074384575764572752286332720058209655273732493724597193570531603155064624894472949e-74), SC_(-168.61095468989415809790338364314570312342609364969016065650021960725483321171774482698122412629076944633855119),
+   SC_(-55.25), SC_(1.2813426521356120465015177624260127989204569715020077966304829152772083413607018666340428486300332280796208268e-73), SC_(-167.84080331341333383815979953761769175591813615840570079497886049657539310492828513105040463659546252211816577),
+   SC_(-55.125), SC_(3.9131911034762969245238588487381041440846027762491865228553788345525175997195411344274833797237931115609718734e-73), SC_(-166.72435860843190139822628508932092125390175115884704297746744101312162433253081529570258774243551333817830547),
+   SC_(-55.125), SC_(3.9131911034762969245238588487381041440846027762491865228553788345525175997195411344274833797237931115609718734e-73), SC_(-166.72435860843190139822628508932092125390175115884704297746744101312162433253081529570258774243551333817830547),
+   SC_(-55.0625), SC_(9.8673260748719801875429285251138910685603226064990180114590137125530954288639029165366000246631264886799703812e-73), SC_(-165.79948288622388202234636515611843830505514258701793419810113570552493456762468969521506734143100583664732933),
+   SC_(-55.03125), SC_(2.2266603436756153752904641869096011836186795399043787377981231678451750266953030611051107662716958210621245176e-72), SC_(-164.98562383636151624509401976786053064837595790874753092152373576035270874465656548258782871456207195221944214),
+   SC_(-55.015625), SC_(4.7360694547400010557633537120899731339514832927411000411557017241069914315190052808401850645764826258988157223e-72), SC_(-164.23091913282262531153543074864624423458124037703612931710548143819607381413472198841194346813378767049857102),
+   SC_(-55.0078125), SC_(9.7711411829383473352191234385949187141301095595021430916520807560660169392008422644376163773341508350241419744e-72), SC_(-163.50669343153341345258524324381801036966183326252171998393543422918069158015224990644429130175698598699531559),
+   SC_(-55.00390625), SC_(1.9849813368130565400082616367736733898222309059037526584787565396148994249432311844770938652923241295223173372e-71), SC_(-162.79793209059158135187371040016035284056001188974505773778388041815604246557372874833520121084623675848324653),
+   SC_(-55.001953125), SC_(4.0011527025839186802362202986064746607659562719948879104538703040305946839868510269637364333411827497280876609e-71), SC_(-162.09695910732599926634580619546086967483516523508116372639480433720335112449010866710477018788763078059531739),
+   SC_(-55.0009765625), SC_(8.0337165791330065335975494516865674084243424087485487106774189934117418204397780662715970161029291548435735322e-71), SC_(-161.39989434494066669193445734325668854800347599330188459461000783505748749530276418597694449437396439975642739),
+   SC_(-55.00048828125), SC_(1.6098955582234111797192918389653091448532474529983175191497792172611202123857866753532046573856256174280604906e-70), SC_(-160.70478720335970779044810048577706572168294270359200751102024774726873809107608410429108303843036597175851574),
+   SC_(-55.000244140625), SC_(3.2229489383739069077426589427292221486316835695264580306146368181978314124729044747056203876145163299274839162e-70), SC_(-160.01065974976279784681276079462713523274703044269550248584357078652658101108956772105309588537940153835845253),
+   SC_(-55.0001220703125), SC_(6.4490584927092060270881030241102009753530989802388015943440565730695270982447302276967661985453793370842809927e-70), SC_(-159.31702235955279567847278381399076746835459254718344944015223186406361061632854529086525121167403149843204951),
+   SC_(-55.00006103515625), SC_(1.2901278999465709067481172051357680823144647144568010162984581701224308123653537826832760721024936282443616929e-69), SC_(-158.62363005588493092816609841988394155956583356426839818962424302647689373565571590600021022739583173660825912),
+   SC_(-55.000030517578125), SC_(2.5805720712289037815987851594678385818056219448843736699329563576677642341882019081454419267963820729415843202e-69), SC_(-157.93036030920030332559475681177857998315815179296792358505521494080549634853806742842599525295140408602520327),
+   SC_(-55.0000152587890625), SC_(5.1614604487657722043250649624190917425292416189357191604774760397102648986075958213671067240971910379231601532e-69), SC_(-157.23715184443533623970061088892203568266958809147580434329834884584272834667232463377062600899364515818112128),
+   SC_(-55.00000762939453125), SC_(1.0323237221327282306659069651742858534255822887359607372715440005717339347982261692628904404013928528138747796e-68), SC_(-156.54397402148720988565208247423205185881626540946911738049902395409778731347569805387628207669123601334895297),
+   SC_(-55.000003814697265625), SC_(2.0646790775194607155547973586647286676515701833028398450458745081506384416914447177006207163885808000864861054e-68), SC_(-155.85081151966175651492016050142678242361703242831924093683985874119382809840757393245978293124570333614782346),
+   SC_(-54.999996185302734375), SC_(-2.0647423457763898724441926766911315065748070017125332824216525333206102831503809803767031509941257051095480361e-68), SC_(-155.85078087698790531440342542733440432240051900423559858958186239966734563886801864889432738076539471668895153),
+   SC_(-54.99999237060546875), SC_(-1.0323869903896693318830692237031954173816799563002261478764664298984104173642680845761561815785364811365950836e-68), SC_(-156.54391273613950748465465267775551173404636022049848355502194287658532776162587291004675505997222135700600833),
+   SC_(-54.9999847412109375), SC_(-5.1620931313356609896075688482137310567330154490050164964662354612513882037233620876810059122881731302591840784e-69), SC_(-157.23702927373993143799407410963469018278376350720219187972772250750700644789716664384228749551614603436871943),
+   SC_(-54.999969482421875), SC_(-2.5812047538007036593280731337730752898602262231463037817558505350246736606350620972639615315635322909651300801e-69), SC_(-157.93011516780949372448826576252996308778678964456988096449223016883160136143552770098938132537009369756377915),
+   SC_(-54.99993896484375), SC_(-1.2907605825260151543166837175559445009795374956430246284126711484577031924699174545944895326636671560177808025e-69), SC_(-158.62313977310331174440577639600157603341423045107632974931252232310276610527561242387710371984731250986549586),
+   SC_(-54.9998779296875), SC_(-6.4553853188094233046876592895012648526525180150283982410436290391286449231992481112970048887626762406755841465e-70), SC_(-159.31604179398955745857342036334579627322321174599523639438610416496491311033164651485814292304911182363789844),
+   SC_(-54.999755859375), SC_(-3.2292757656972235264817841973017091612850066235367577135589531310177286051775644893848808027910916408840977495e-70), SC_(-160.008698618636322587984278676721311394088533466446436344243872086944887040043886445247026629363735214473968),
+   SC_(-54.99951171875), SC_(-1.6162223904391272987614396144702464048620728230822869522050389281968219339860682149986737507185342236122482244e-70), SC_(-160.70086494110676672055309472267163668000786442396165599182969366303437562734113536343158325224802778831022075),
+   SC_(-54.9990234375), SC_(-8.0969850969864894557318737691129310533152378549300982938253861469921910001290234535035353039291664032683997005e-71), SC_(-161.39204982043486013424012017896022763434405540685541863080825447440184983633823935682152910471761682194009755),
+   SC_(-54.998046875), SC_(-4.0644220032281560703728901101136615238229622973622761832467789502241278374515215353594012570458502857903981801e-71), SC_(-162.08127005831499080772273733065198611316466700027432803456286137458898401259735082441220119389429933849355178),
+   SC_(-54.99609375), SC_(-2.0482537687077942321090221494955604658948917393938808734782620010367460550782558724337143218077466815606828151e-71), SC_(-162.76655399257440168875915457183408280308181309108442817686019319039574202034357650371627118245510718069276458),
+   SC_(-54.9921875), SC_(-1.0403990765904058990542225796822538651968437182446447227222447641641087941482441402308781506170093116348625277e-71), SC_(-163.44393723553775215962440891211372104324292658809768134937071615839546889202248565570727559357168585211528697),
+   SC_(-54.984375), SC_(-5.3694203178248012960900203599575845045610933561396749930640665980127154398291281623913230156597442878775142006e-72), SC_(-164.10540674114088699865988860882135830043683987131160528991359858820364329321760996768871762443071852512281227),
+   SC_(-54.96875), SC_(-2.8620199166194479828493095671425742915953512414537009228248225603396036162945784882292674609093835486992929556e-72), SC_(-164.73459905547471402450903404825766145807171664983496017940723813429221345967182421940603213707285850265527743),
+   SC_(-54.9375), SC_(-1.630184748946170270451320476784206632433100949854187290655399013933472279746756814511062145550705943739852752e-72), SC_(-165.29743334426367988801614492623357248875947820678485342207381159442753904137725281319125060291177520756987098),
+   SC_(-54.875), SC_(-1.0680846658670924739602982648760091697857219572998674888647870128655188067134225296553126235143157749497843576e-72), SC_(-165.72025968301894168117211535724538401110675145308696617050338903177744719353297591311385180951230869443034591),
+   SC_(-54.875), SC_(-1.0680846658670924739602982648760091697857219572998674888647870128655188067134225296553126235143157749497843576e-72), SC_(-165.72025968301894168117211535724538401110675145308696617050338903177744719353297591311385180951230869443034591),
+   SC_(-54.75), SC_(-9.5458361856251771955421646288223745986868922040967488750625623295543548143461204454601975061372552514173142635e-73), SC_(-165.832606730654205986120867393356943779751171701619270053868138901004382167757346011577115957303576501169292),
+   SC_(-54.625), SC_(-1.206186475649396145903288691554707530168287112342184654831637542295698786164449139797442886500595537701817763e-72), SC_(-165.59866298596103365955616501583662559837750698138902842335766258991320191255510277437255784261835345464069791),
+   SC_(-54.5), SC_(-1.8392362824649955842493839327496524620195544198463369408305550567875162810042700605149557047177639688138279568e-72), SC_(-165.17677627399096896709758625478184730591369935521644314593949193117554720994255451755959707734651803272517273),
+};
diff --git a/src/boost/libs/math/test/tgamma_ratio_data.ipp b/src/boost/libs/math/test/tgamma_ratio_data.ipp
new file mode 100644
index 000000000..9323711d1
--- /dev/null
+++ b/src/boost/libs/math/test/tgamma_ratio_data.ipp
@@ -0,0 +1,407 @@
+//  (C) Copyright John Maddock 2006-7.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 3>, 400> tgamma_ratio_data = { {
+      {{ SC_(6.68193912506103515625), SC_(6.68193912506103515625), SC_(1.0) }}, 
+      {{ SC_(6.68193912506103515625), SC_(8.095367431640625), SC_(0.06544775114440229981894259276990196062764) }}, 
+      {{ SC_(6.68193912506103515625), SC_(8.50289630889892578125), SC_(0.02833082889188931171456297874515804727699) }}, 
+      {{ SC_(6.68193912506103515625), SC_(11.04233455657958984375), SC_(0.9977723749373989179839784596883914860086e-4) }}, 
+      {{ SC_(6.68193912506103515625), SC_(12.6096343994140625), SC_(0.2224848351207471598094573384811702572789e-5) }}, 
+      {{ SC_(6.68193912506103515625), SC_(15.36791515350341796875), SC_(0.1707401795086213382244662934709192347257e-8) }}, 
+      {{ SC_(6.68193912506103515625), SC_(16.792018890380859375), SC_(0.3420632447590243481697274715444998893408e-10) }}, 
+      {{ SC_(6.68193912506103515625), SC_(28.25031280517578125), SC_(0.1600680453581408921824330663433115251581e-25) }}, 
+      {{ SC_(6.68193912506103515625), SC_(28.2665882110595703125), SC_(0.1516395254249637529260062571562632237052e-25) }}, 
+      {{ SC_(6.68193912506103515625), SC_(32.353244781494140625), SC_(0.1435206894862598198928388181910160004221e-31) }}, 
+      {{ SC_(6.68193912506103515625), SC_(41.1067352294921875), SC_(0.3302103464979977987816033282184687805192e-45) }}, 
+      {{ SC_(6.68193912506103515625), SC_(42.080410003662109375), SC_(0.886133585915892288509502556440259057933e-47) }}, 
+      {{ SC_(6.68193912506103515625), SC_(45.4780120849609375), SC_(0.2445790945282646979483178649067515339092e-52) }}, 
+      {{ SC_(6.68193912506103515625), SC_(45.842041015625), SC_(0.6109956711604874877647044786673395753644e-53) }}, 
+      {{ SC_(6.68193912506103515625), SC_(47.9603271484375), SC_(0.1802664125152357631935884543327977871009e-56) }}, 
+      {{ SC_(6.68193912506103515625), SC_(48.314647674560546875), SC_(0.4585435903890089500439815393256424830955e-57) }}, 
+      {{ SC_(6.68193912506103515625), SC_(48.4493560791015625), SC_(0.2722991298511892486629788976421558265475e-57) }}, 
+      {{ SC_(6.68193912506103515625), SC_(48.50565338134765625), SC_(0.2189817526247552395152959212887295282992e-57) }}, 
+      {{ SC_(6.68193912506103515625), SC_(49.65830230712890625), SC_(0.2491707234921651072352951178714074480602e-59) }}, 
+      {{ SC_(6.68193912506103515625), SC_(49.830142974853515625), SC_(0.1275499540450052064566893368701946482382e-59) }}, 
+      {{ SC_(8.095367431640625), SC_(6.68193912506103515625), SC_(15.27936380569631379215981282038521263139) }}, 
+      {{ SC_(8.095367431640625), SC_(8.095367431640625), SC_(1.0) }}, 
+      {{ SC_(8.095367431640625), SC_(8.50289630889892578125), SC_(0.4328770415561089543785983031850532551013) }}, 
+      {{ SC_(8.095367431640625), SC_(11.04233455657958984375), SC_(0.001524532711194214483439552686740177905313) }}, 
+      {{ SC_(8.095367431640625), SC_(12.6096343994140625), SC_(0.3399426737060256217390151315994565352827e-4) }}, 
+      {{ SC_(8.095367431640625), SC_(15.36791515350341796875), SC_(0.2608801318962120302585268540253614111335e-7) }}, 
+      {{ SC_(8.095367431640625), SC_(16.792018890380859375), SC_(0.5226508761230075927654898387420647235484e-9) }}, 
+      {{ SC_(8.095367431640625), SC_(28.25031280517578125), SC_(0.2445737898693733797769611259209203584443e-24) }}, 
+      {{ SC_(8.095367431640625), SC_(28.2665882110595703125), SC_(0.2316955476291157102884553711299427658036e-24) }}, 
+      {{ SC_(8.095367431640625), SC_(32.353244781494140625), SC_(0.2192904828304937772446028970624034599691e-30) }}, 
+      {{ SC_(8.095367431640625), SC_(41.1067352294921875), SC_(0.5045404016547946090253729607520301559963e-44) }}, 
+      {{ SC_(8.095367431640625), SC_(42.080410003662109375), SC_(0.1353955743965516944489997901950715452755e-45) }}, 
+      {{ SC_(8.095367431640625), SC_(45.4780120849609375), SC_(0.3737012964565144972084775063603050427547e-51) }}, 
+      {{ SC_(8.095367431640625), SC_(45.842041015625), SC_(0.9335625143366679579486394992496451351018e-52) }}, 
+      {{ SC_(8.095367431640625), SC_(47.9603271484375), SC_(0.2754356098768014320479195593046571558735e-55) }}, 
+      {{ SC_(8.095367431640625), SC_(48.314647674560546875), SC_(0.7006254338323859447417411411637098417379e-56) }}, 
+      {{ SC_(8.095367431640625), SC_(48.4493560791015625), SC_(0.4160557468970861681934763285488463143071e-56) }}, 
+      {{ SC_(8.095367431640625), SC_(48.50565338134765625), SC_(0.3345901865162628968218063609001765927876e-56) }}, 
+      {{ SC_(8.095367431640625), SC_(49.65830230712890625), SC_(0.3807170133965351751944945486685393449817e-58) }}, 
+      {{ SC_(8.095367431640625), SC_(49.830142974853515625), SC_(0.1948882151253480684761778785767440869907e-58) }}, 
+      {{ SC_(8.50289630889892578125), SC_(6.68193912506103515625), SC_(35.29723764228744086812043153239973434675) }}, 
+      {{ SC_(8.50289630889892578125), SC_(8.095367431640625), SC_(2.310124825297257793166027233518450467265) }}, 
+      {{ SC_(8.50289630889892578125), SC_(8.50289630889892578125), SC_(1.0) }}, 
+      {{ SC_(8.50289630889892578125), SC_(11.04233455657958984375), SC_(0.003521860863107489503907274588697768037321) }}, 
+      {{ SC_(8.50289630889892578125), SC_(12.6096343994140625), SC_(0.7853100097062151498541705753484156861086e-4) }}, 
+      {{ SC_(8.50289630889892578125), SC_(15.36791515350341796875), SC_(0.6026656691202623868522041531664940403622e-7) }}, 
+      {{ SC_(8.50289630889892578125), SC_(16.792018890380859375), SC_(0.1207388763895121639743664392369700074862e-8) }}, 
+      {{ SC_(8.50289630889892578125), SC_(28.25031280517578125), SC_(0.564995983594274416859732458938454292755e-24) }}, 
+      {{ SC_(8.50289630889892578125), SC_(28.2665882110595703125), SC_(0.5352456364888634023094937531252471776606e-24) }}, 
+      {{ SC_(8.50289630889892578125), SC_(32.353244781494140625), SC_(0.5065883883381457468092824152960142285326e-30) }}, 
+      {{ SC_(8.50289630889892578125), SC_(41.1067352294921875), SC_(0.1165551307228190672944688371949229156942e-43) }}, 
+      {{ SC_(8.50289630889892578125), SC_(42.080410003662109375), SC_(0.3127806776488558533920147278994474194652e-45) }}, 
+      {{ SC_(8.50289630889892578125), SC_(45.4780120849609375), SC_(0.8632966421899642956616439002226661768323e-51) }}, 
+      {{ SC_(8.50289630889892578125), SC_(45.842041015625), SC_(0.2156645940336063790233453759917649217215e-51) }}, 
+      {{ SC_(8.50289630889892578125), SC_(47.9603271484375), SC_(0.636290640147289561320766371462864805633e-55) }}, 
+      {{ SC_(8.50289630889892578125), SC_(48.314647674560546875), SC_(0.1618532207930856030225979904296120628837e-55) }}, 
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+      {{ SC_(48.50565338134765625), SC_(47.9603271484375), SC_(8.23202894097474578256346862985747732831) }}, 
+      {{ SC_(48.50565338134765625), SC_(48.314647674560546875), SC_(2.093980822113357920271431337630760310643) }}, 
+      {{ SC_(48.50565338134765625), SC_(48.4493560791015625), SC_(1.243478630467434834721499987219186699646) }}, 
+      {{ SC_(48.50565338134765625), SC_(48.50565338134765625), SC_(1.0) }}, 
+      {{ SC_(48.50565338134765625), SC_(49.65830230712890625), SC_(0.01137860668779746965294028255799791422986) }}, 
+      {{ SC_(48.50565338134765625), SC_(49.830142974853515625), SC_(0.005824684135375125377888394010247691105308) }}, 
+      {{ SC_(49.65830230712890625), SC_(6.68193912506103515625), SC_(0.4013312583375967416661578325917486444011e60) }}, 
+      {{ SC_(49.65830230712890625), SC_(8.095367431640625), SC_(0.2626622832214886218015717184826554078257e59) }}, 
+      {{ SC_(49.65830230712890625), SC_(8.50289630889892578125), SC_(0.113700472089290789897629737177398002534e59) }}, 
+      {{ SC_(49.65830230712890625), SC_(11.04233455657958984375), SC_(0.4004372427681186817057187355081811104948e56) }}, 
+      {{ SC_(49.65830230712890625), SC_(12.6096343994140625), SC_(0.8929011884004219495315315213522833289702e54) }}, 
+      {{ SC_(49.65830230712890625), SC_(15.36791515350341796875), SC_(0.6852337109098215178887399704270903577856e51) }}, 
+      {{ SC_(49.65830230712890625), SC_(16.792018890380859375), SC_(0.1372806724501805853779867836918351364192e50) }}, 
+      {{ SC_(49.65830230712890625), SC_(28.25031280517578125), SC_(6424031006322219535859735319895730.406516) }}, 
+      {{ SC_(49.65830230712890625), SC_(28.2665882110595703125), SC_(6085768155251669725746553272367876.464595) }}, 
+      {{ SC_(49.65830230712890625), SC_(32.353244781494140625), SC_(5759933890900014436468813901.114329886265) }}, 
+      {{ SC_(49.65830230712890625), SC_(41.1067352294921875), SC_(132523733876135.2881084287595872245597653) }}, 
+      {{ SC_(49.65830230712890625), SC_(42.080410003662109375), SC_(3556331070908.319456261711716187098696346) }}, 
+      {{ SC_(49.65830230712890625), SC_(45.4780120849609375), SC_(9815723.577009849317698980162780336496513) }}, 
+      {{ SC_(49.65830230712890625), SC_(45.842041015625), SC_(2452116.61545662911113776272285650291177) }}, 
+      {{ SC_(49.65830230712890625), SC_(47.9603271484375), SC_(723.4654617074386650606404106270002904964) }}, 
+      {{ SC_(49.65830230712890625), SC_(48.314647674560546875), SC_(184.0278761334604933216410145833973305409) }}, 
+      {{ SC_(49.65830230712890625), SC_(48.4493560791015625), SC_(109.2821524274104329582796424993272683682) }}, 
+      {{ SC_(49.65830230712890625), SC_(48.50565338134765625), SC_(87.88422233386534838722699682176254064215) }}, 
+      {{ SC_(49.65830230712890625), SC_(49.65830230712890625), SC_(1.0) }}, 
+      {{ SC_(49.65830230712890625), SC_(49.830142974853515625), SC_(0.5118978355778457700907478004290928982057) }}, 
+      {{ SC_(49.830142974853515625), SC_(6.68193912506103515625), SC_(0.7840065545199304670108533691898249387968e60) }}, 
+      {{ SC_(49.830142974853515625), SC_(8.095367431640625), SC_(0.5131146587580068328804320686790697457432e59) }}, 
+      {{ SC_(49.830142974853515625), SC_(8.50289630889892578125), SC_(0.2221155554622383892333093987944533873854e59) }}, 
+      {{ SC_(49.830142974853515625), SC_(11.04233455657958984375), SC_(0.782260081869838348283677686535832364175e56) }}, 
+      {{ SC_(49.830142974853515625), SC_(12.6096343994140625), SC_(0.1744295690159517988946627267959914710007e55) }}, 
+      {{ SC_(49.830142974853515625), SC_(15.36791515350341796875), SC_(0.1338614198546686499416667263462438494101e52) }}, 
+      {{ SC_(49.830142974853515625), SC_(16.792018890380859375), SC_(0.26817982595143034220545161257463255727e50) }}, 
+      {{ SC_(49.830142974853515625), SC_(28.25031280517578125), SC_(12549439672997599030300754159544767.03381) }}, 
+      {{ SC_(49.830142974853515625), SC_(28.2665882110595703125), SC_(11888638185746322677793115992561779.63174) }}, 
+      {{ SC_(49.830142974853515625), SC_(32.353244781494140625), SC_(11252116126644737085315595239.69631493006) }}, 
+      {{ SC_(49.830142974853515625), SC_(41.1067352294921875), SC_(258887076024727.6417888699288378265039062) }}, 
+      {{ SC_(49.830142974853515625), SC_(42.080410003662109375), SC_(6947345395383.094961087609307748110446687) }}, 
+      {{ SC_(49.830142974853515625), SC_(45.4780120849609375), SC_(19175161.3208709184277483875675091000146) }}, 
+      {{ SC_(49.830142974853515625), SC_(45.842041015625), SC_(4790246.109731262408906051742019966433475) }}, 
+      {{ SC_(49.830142974853515625), SC_(47.9603271484375), SC_(1413.300489717384632443829918755401512936) }}, 
+      {{ SC_(49.830142974853515625), SC_(48.314647674560546875), SC_(359.5011803980852094949309930259792159491) }}, 
+      {{ SC_(49.830142974853515625), SC_(48.4493560791015625), SC_(213.4843025934060293962890224642100962277) }}, 
+      {{ SC_(49.830142974853515625), SC_(48.50565338134765625), SC_(171.6831293780700953348759427887881234575) }}, 
+      {{ SC_(49.830142974853515625), SC_(49.65830230712890625), SC_(1.953514804123306623532978094346942918559) }}, 
+      {{ SC_(49.830142974853515625), SC_(49.830142974853515625), SC_(1.0) }}
+   } };
diff --git a/src/boost/libs/math/test/trig_data.ipp b/src/boost/libs/math/test/trig_data.ipp
new file mode 100644
index 000000000..6282224a4
--- /dev/null
+++ b/src/boost/libs/math/test/trig_data.ipp
@@ -0,0 +1,426 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 414> trig_data = {{
+      {{ SC_(-3.9774532318115234375000000000000000000000e+00), SC_(7.0773544860026243860279929113278325110375e-02), SC_(9.9749240866682582129171337066426038082437e-01) }}, 
+      {{ SC_(-3.9617328643798828125000000000000000000000e+00), SC_(1.1993037621708977961146677085715171980751e-01), SC_(9.9278230486870952597534166945986069243176e-01) }}, 
+      {{ SC_(-3.9047842025756835937500000000000000000000e+00), SC_(2.9468823519354637105911947101495882286179e-01), SC_(9.5559345123253806128916838776381320091963e-01) }}, 
+      {{ SC_(-3.8916873931884765625000000000000000000000e+00), SC_(3.3374547909601862041893513083013201963857e-01), SC_(9.4266322469001038147288152092736823391568e-01) }}, 
+      {{ SC_(-3.8578090667724609375000000000000000000000e+00), SC_(4.3199709903403737307912472091970588030864e-01), SC_(9.0187499490016691899377344383391047319671e-01) }}, 
+      {{ SC_(-3.7453374862670898437500000000000000000000e+00), SC_(7.1738805664233213419617848590715510878805e-01), SC_(6.9667379467505311174160335392136633824863e-01) }}, 
+      {{ SC_(-3.7244319915771484375000000000000000000000e+00), SC_(7.6156366259470177260070281063647817588426e-01), SC_(6.4809010779006898537856851402643268133964e-01) }}, 
+      {{ SC_(-3.7143068313598632812500000000000000000000e+00), SC_(7.8179011765786965192070724412252980346206e-01), SC_(6.2354166816059239705031197761170482474277e-01) }}, 
+      {{ SC_(-3.7084703445434570312500000000000000000000e+00), SC_(7.9309123554739645631663479916579239803262e-01), SC_(6.0910285838920844088315459958697481264632e-01) }}, 
+      {{ SC_(-3.6306295394897460937500000000000000000000e+00), SC_(9.1696736941200755880066612020982424508209e-01), SC_(3.9896220802680404308672276469459511697767e-01) }}, 
+      {{ SC_(-3.5902690887451171875000000000000000000000e+00), SC_(9.6005749263309399424762040094854912358485e-01), SC_(2.7980280706071672819250833169767675946625e-01) }}, 
+      {{ SC_(-3.5683994293212890625000000000000000000000e+00), SC_(9.7700131832151631709443635682201094394830e-01), SC_(2.1323326194104695723693260957232796074504e-01) }}, 
+      {{ SC_(-3.4592370986938476562500000000000000000000e+00), SC_(9.9181146279384676289373069342215326327259e-01), SC_(-1.2771069755791767012021871220455601680871e-01) }}, 
+      {{ SC_(-3.3931655883789062500000000000000000000000e+00), SC_(9.4420293088917725164777488803566691613860e-01), SC_(-3.2936427447476383305860665908806457784788e-01) }}, 
+      {{ SC_(-3.2229461669921875000000000000000000000000e+00), SC_(6.4452819092715720460681805414890459455338e-01), SC_(-7.6458054585515448444199304174329276576484e-01) }}, 
+      {{ SC_(-3.2196769714355468750000000000000000000000e+00), SC_(6.3664172619341055705211898635086791126371e-01), SC_(-7.7115971916943020671267760720429588807288e-01) }}, 
+      {{ SC_(-3.1211061477661132812500000000000000000000e+00), SC_(3.7135335780369037404310918499389657193681e-01), SC_(-9.2849161743546414936854741692037249771494e-01) }}, 
+      {{ SC_(-3.1002845764160156250000000000000000000000e+00), SC_(3.0986713733563102476788873073830476308206e-01), SC_(-9.5077986789762286248285770175256182955887e-01) }}, 
+      {{ SC_(-3.0480184555053710937500000000000000000000e+00), SC_(1.5028291058010493207025880578034599707430e-01), SC_(-9.8864303304457275939138181401436526701454e-01) }}, 
+      {{ SC_(-2.9985380172729492187500000000000000000000e+00), SC_(-4.5929380467587678038943727972886926572694e-03), SC_(-9.9998945240442343165400505621385600628710e-01) }}, 
+      {{ SC_(-2.9928274154663085937500000000000000000000e+00), SC_(-2.2531432037793477675469226940100283743575e-02), SC_(-9.9974613506145963677579891828378701312519e-01) }}, 
+      {{ SC_(-2.9841060638427734375000000000000000000000e+00), SC_(-4.9911526865301578262897706703502998396013e-02), SC_(-9.9875364304015145795419227904280421041712e-01) }}, 
+      {{ SC_(-2.9607505798339843750000000000000000000000e+00), SC_(-1.2299346485981660064237020203833067995992e-01), SC_(-9.9240748062566369342250467688663564344568e-01) }}, 
+      {{ SC_(-2.9161844253540039062500000000000000000000e+00), SC_(-2.6028213071204756629425186005846465917215e-01), SC_(-9.6553260557683736103737209395477391945707e-01) }}, 
+      {{ SC_(-2.8910045623779296875000000000000000000000e+00), SC_(-3.3576688840249427771925848349727492747208e-01), SC_(-9.4194511339701049149409128507465051072874e-01) }}, 
+      {{ SC_(-2.8649091720581054687500000000000000000000e+00), SC_(-4.1177440566510667850464728538235996067571e-01), SC_(-9.1128581621747419851467502037941438628419e-01) }}, 
+      {{ SC_(-2.8070888519287109375000000000000000000000e+00), SC_(-5.6962394780317258349095500647963019767726e-01), SC_(-8.2190544352080338079904161219679275645723e-01) }}, 
+      {{ SC_(-2.8056478500366210937500000000000000000000e+00), SC_(-5.7333889774547421097781817548901513478394e-01), SC_(-8.1931831929476876961507584991747574097795e-01) }}, 
+      {{ SC_(-2.7644929885864257812500000000000000000000e+00), SC_(-6.7418976093170810969556332422484681604555e-01), SC_(-7.3855816714382508099719065401369284800331e-01) }}, 
+      {{ SC_(-2.7390956878662109375000000000000000000000e+00), SC_(-7.3091046787338668451145170450133524796388e-01), SC_(-6.8247336061791230280379473053114594954268e-01) }}, 
+      {{ SC_(-2.7355394363403320312500000000000000000000e+00), SC_(-7.3848948635740579707953709312462199704324e-01), SC_(-6.7426499133469398680589790058582600474355e-01) }}, 
+      {{ SC_(-2.6991062164306640625000000000000000000000e+00), SC_(-8.1066424743162907541066892533920219267801e-01), SC_(-5.8551129616439550978746461056239261291598e-01) }}, 
+      {{ SC_(-2.6305065155029296875000000000000000000000e+00), SC_(-9.1712149632570388738239981145670570715552e-01), SC_(-3.9860777837029461434452340017415559695465e-01) }}, 
+      {{ SC_(-2.6090793609619140625000000000000000000000e+00), SC_(-9.4185655472943839830579836290050447836428e-01), SC_(-3.3601522333547986304807314632542163159655e-01) }}, 
+      {{ SC_(-2.5050191879272460937500000000000000000000e+00), SC_(-9.9987568381768953436701127766269045040788e-01), SC_(-1.5767590497845478262656414731631988934965e-02) }}, 
+      {{ SC_(-2.4929447174072265625000000000000000000000e+00), SC_(-9.9975437034566987067580804393808517747219e-01), SC_(2.2163009153388271557271132253243652915113e-02) }}, 
+      {{ SC_(-2.4272384643554687500000000000000000000000e+00), SC_(-9.7398753115843827533170990651639503684643e-01), SC_(2.2660160888195438795075340941984049712659e-01) }}, 
+      {{ SC_(-2.3354558944702148437500000000000000000000e+00), SC_(-8.6934023639191873450982490002851733105284e-01), SC_(4.9421407647905260119880040102899169441924e-01) }}, 
+      {{ SC_(-2.3183279037475585937500000000000000000000e+00), SC_(-8.4150156664834359869540818771524073982051e-01), SC_(5.4025467450859075039160413881361295523246e-01) }}, 
+      {{ SC_(-2.3046054840087890625000000000000000000000e+00), SC_(-8.1743642279419458878430396216469861867532e-01), SC_(5.7601883188783919247059390170720375367970e-01) }}, 
+      {{ SC_(-2.2620973587036132812500000000000000000000e+00), SC_(-7.3346328340507778941301945165878879887661e-01), SC_(6.7972907242271353377593468076196477559511e-01) }}, 
+      {{ SC_(-2.2317276000976562500000000000000000000000e+00), SC_(-6.6537326993316934952514665105248864416333e-01), SC_(7.4651082487693489365391928166376502681137e-01) }}, 
+      {{ SC_(-2.2095050811767578125000000000000000000000e+00), SC_(-6.1167775393828157540960701817140835841373e-01), SC_(7.9110702521025501171584436651855140566145e-01) }}, 
+      {{ SC_(-2.1587514877319335937500000000000000000000e+00), SC_(-4.7831282457156194256147826366717615468415e-01), SC_(8.7818952501744986937643074486430914859891e-01) }}, 
+      {{ SC_(-2.0518007278442382812500000000000000000000e+00), SC_(-1.6201943644875820325965658806034453314425e-01), SC_(9.8678756691236579534545882522215038541766e-01) }}, 
+      {{ SC_(-1.9913291931152343750000000000000000000000e+00), SC_(2.7236774521824119247640639457167240403283e-02), SC_(9.9962901024012268934784446000199714742073e-01) }}, 
+      {{ SC_(-1.9808664321899414062500000000000000000000e+00), SC_(6.0073684468702575262797776910860329709958e-02), SC_(9.9819394530038838689681575445113488209634e-01) }}, 
+      {{ SC_(-1.9657425880432128906250000000000000000000e+00), SC_(1.0741519398297458068845667640105099725089e-01), SC_(9.9421425060275611673890046532660283866692e-01) }}, 
+      {{ SC_(-1.9592390060424804687500000000000000000000e+00), SC_(1.2770475450980803702535188445773082653842e-01), SC_(9.9181222803290223591996402565002586050197e-01) }}, 
+      {{ SC_(-1.9399342536926269531250000000000000000000e+00), SC_(1.8758420016848789064877165024139046518307e-01), SC_(9.8224852651818657111887581810958489845723e-01) }}, 
+      {{ SC_(-1.8726687431335449218750000000000000000000e+00), SC_(3.8943947239907955191806267942993095630447e-01), SC_(9.2105206005823935504113082081651078396843e-01) }}, 
+      {{ SC_(-1.8622159957885742187500000000000000000000e+00), SC_(4.1946983932693600433549716080531291905775e-01), SC_(9.0776927349136162127391594039572935545573e-01) }}, 
+      {{ SC_(-1.8571534156799316406250000000000000000000e+00), SC_(4.3385385318065783138522312391833924596257e-01), SC_(9.0098325960047459614595694068784152978597e-01) }}, 
+      {{ SC_(-1.8542351722717285156250000000000000000000e+00), SC_(4.4209565798070871752154886197372379282014e-01), SC_(8.9696790867600398251070757116939705415091e-01) }}, 
+      {{ SC_(-1.8153147697448730468750000000000000000000e+00), SC_(5.4819603791581527487211750854339931561457e-01), SC_(8.3634986938087221868046812319445417842653e-01) }}, 
+      {{ SC_(-1.7951345443725585937500000000000000000000e+00), SC_(6.0008215809974023581434137516121683653367e-01), SC_(7.9993837483293571774722252288759286003132e-01) }}, 
+      {{ SC_(-1.7917995452880859375000000000000000000000e+00), SC_(6.0843019022618795009788527140260807985237e-01), SC_(7.9360739892047676462942185706066696498359e-01) }}, 
+      {{ SC_(-1.7846164703369140625000000000000000000000e+00), SC_(6.2618253814748614262259811608337148376852e-01), SC_(7.7967648991050901236982422793142962643534e-01) }}, 
+      {{ SC_(-1.7720141410827636718750000000000000000000e+00), SC_(6.5655224709393941166212925616015192588965e-01), SC_(7.5428054915654475424462469532824344031256e-01) }}, 
+      {{ SC_(-1.7132878303527832031250000000000000000000e+00), SC_(7.8378224352958754678835476318536431268280e-01), SC_(6.2103574351862093135376998317963401489884e-01) }}, 
+      {{ SC_(-1.6237645149230957031250000000000000000000e+00), SC_(9.2535791354740309366987559846725871864256e-01), SC_(3.7909462121638822065656109832689999162915e-01) }}, 
+      {{ SC_(-1.6114730834960937500000000000000000000000e+00), SC_(9.3930307831262708058711419944650941883676e-01), SC_(3.4308851200881494653328085763181866157541e-01) }}, 
+      {{ SC_(-1.6098384857177734375000000000000000000000e+00), SC_(9.4105252753749888823550959379536266333425e-01), SC_(3.3826046238850454312441253682427645862925e-01) }}, 
+      {{ SC_(-1.6013464927673339843750000000000000000000e+00), SC_(9.4974082848623693795720143987094090825340e-01), SC_(3.1303731200333974188394551215433704440959e-01) }}, 
+      {{ SC_(-1.5846953392028808593750000000000000000000e+00), SC_(9.6480953481970116774592198724118779033893e-01), SC_(2.6294973192797105413764821926664215930415e-01) }}, 
+      {{ SC_(-1.5605530738830566406250000000000000000000e+00), SC_(9.8196018693108534535704372647626920244478e-01), SC_(1.8908778723721932992809652230019128825755e-01) }}, 
+      {{ SC_(-1.5501422882080078125000000000000000000000e+00), SC_(9.8761831389905454265970551125211297990428e-01), SC_(1.5687595753074646574707218589497119732404e-01) }}, 
+      {{ SC_(-1.5346636772155761718750000000000000000000e+00), SC_(9.9407634470097495678440728067370155376700e-01), SC_(1.0868404163421794168841468106351872585391e-01) }}, 
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+      {{ SC_(2.7930345535278320312500000000000000000000e+00), SC_(6.0534650679100039131411264058534198908238e-01), SC_(-7.9596206361605784580057896592926540608297e-01) }}, 
+      {{ SC_(2.9794301986694335937500000000000000000000e+00), SC_(6.4576969325134380719184170853709332046455e-02), SC_(-9.9791272916662439637917978556650177608583e-01) }}, 
+      {{ SC_(3.0140590667724609375000000000000000000000e+00), SC_(-4.4153501845982175189175058527762162423716e-02), SC_(-9.9902475858946401221242382128074456077456e-01) }}, 
+      {{ SC_(3.0274448394775390625000000000000000000000e+00), SC_(-8.6113718924577264256191741572510303127778e-02), SC_(-9.9628531426142125159845398506889259793638e-01) }}, 
+      {{ SC_(3.1272258758544921875000000000000000000000e+00), SC_(-3.8913452368727790960356345180278976524450e-01), SC_(-9.2118093905305886299976636088054353344837e-01) }}, 
+      {{ SC_(3.2463350296020507812500000000000000000000e+00), SC_(-6.9891857428318090957573573027947012586588e-01), SC_(-7.1520124896560809131726883061795792563693e-01) }}, 
+      {{ SC_(3.2589178085327148437500000000000000000000e+00), SC_(-7.2663709244263817401414242437628248351839e-01), SC_(-6.8702149594209125055751180411261051580649e-01) }}, 
+      {{ SC_(3.3070068359375000000000000000000000000000e+00), SC_(-8.2175864645735172534612332054328975554008e-01), SC_(-5.6983570173566802821049780901183552862792e-01) }}, 
+      {{ SC_(3.3258838653564453125000000000000000000000e+00), SC_(-8.5408772066117639250002441486943704634544e-01), SC_(-5.2012898920921176087604522292013122428088e-01) }}, 
+      {{ SC_(3.3375492095947265625000000000000000000000e+00), SC_(-8.7257153578052091358315534289731125877922e-01), SC_(-4.8848635082837587004720613584405617142606e-01) }}, 
+      {{ SC_(3.3669977188110351562500000000000000000000e+00), SC_(-9.1396798220297561033487383312195293377728e-01), SC_(-4.0578630768893774739693190146836884794326e-01) }}, 
+      {{ SC_(3.4341087341308593750000000000000000000000e+00), SC_(-9.7865116955588442390300932302401182353872e-01), SC_(-2.0552831514635533577558252681957801819126e-01) }}, 
+      {{ SC_(3.4719457626342773437500000000000000000000e+00), SC_(-9.9611862556712482137384040772481006307913e-01), SC_(-8.8020928183371141600457936465291857450722e-02) }}, 
+      {{ SC_(3.4720849990844726562500000000000000000000e+00), SC_(-9.9615703275215020366558951270835450836767e-01), SC_(-8.7585193374402881607363783226196334139273e-02) }}, 
+      {{ SC_(3.5205917358398437500000000000000000000000e+00), SC_(-9.9790827684402469941929089861198503088668e-01), SC_(6.4645734632606333231408358461321085923473e-02) }}, 
+      {{ SC_(3.6017761230468750000000000000000000000000e+00), SC_(-9.4931744975485974001547195314422483338195e-01), SC_(3.1431891382945658324672056757940637855560e-01) }}, 
+      {{ SC_(3.6401405334472656250000000000000000000000e+00), SC_(-9.0463898322145714242894381928150807960181e-01), SC_(4.2617873015443671099809962769068440492845e-01) }}, 
+      {{ SC_(3.6573352813720703125000000000000000000000e+00), SC_(-8.8030890857630174758369213697721090228597e-01), SC_(4.7440091218419933754908503670548458480608e-01) }}, 
+      {{ SC_(3.6600542068481445312500000000000000000000e+00), SC_(-8.7622462669288746421939513920418821059507e-01), SC_(4.8190289849399121987063030800400737550306e-01) }}, 
+      {{ SC_(3.6743307113647460937500000000000000000000e+00), SC_(-8.5373690109536976936966210865941858472063e-01), SC_(5.2070462232255516658865250812898441468120e-01) }}, 
+      {{ SC_(3.6759395599365234375000000000000000000000e+00), SC_(-8.5109418559293582989264089230338154739944e-01), SC_(5.2501303531426465035302709741556823160457e-01) }}, 
+      {{ SC_(3.6779518127441406250000000000000000000000e+00), SC_(-8.4775823766338649388282137669646806530795e-01), SC_(5.3038285273363532972430422102518080779833e-01) }}, 
+      {{ SC_(3.7191076278686523437500000000000000000000e+00), SC_(-7.7229721139647358113807359437680820809513e-01), SC_(6.3526137712695126271658979722161374772548e-01) }}, 
+      {{ SC_(3.7197303771972656250000000000000000000000e+00), SC_(-7.7105289310908725572881798363458383569997e-01), SC_(6.3677110175329601145198110228336758429305e-01) }}, 
+      {{ SC_(3.7415590286254882812500000000000000000000e+00), SC_(-7.2560709999357252492032097752516068559035e-01), SC_(6.8810924745923713178558423965711944178988e-01) }}, 
+      {{ SC_(3.7509422302246093750000000000000000000000e+00), SC_(-7.0501057704102466691892843105783269928843e-01), SC_(7.0919678951633828078444575818375506502661e-01) }}, 
+      {{ SC_(3.7647418975830078125000000000000000000000e+00), SC_(-6.7361202403588387903950332613071875859902e-01), SC_(7.3908513790650654594303944610931020837681e-01) }}, 
+      {{ SC_(3.8488769531250000000000000000000000000000e+00), SC_(-4.5713127745715697303348813361224351474208e-01), SC_(8.8939923272419555705330444258023019744461e-01) }}, 
+      {{ SC_(3.8996763229370117187500000000000000000000e+00), SC_(-3.0998392718517287188809579093624249170750e-01), SC_(9.5074179717042915066727903436561012864445e-01) }}, 
+      {{ SC_(3.9081726074218750000000000000000000000000e+00), SC_(-2.8449945044851010534076472484154609631230e-01), SC_(9.5867620325868929081685950779266605717363e-01) }}, 
+      {{ SC_(3.9430503845214843750000000000000000000000e+00), SC_(-1.7795953146963244992533370940904044176079e-01), SC_(9.8403780677325040351109357253557270668483e-01) }}, 
+      {{ SC_(3.9525480270385742187500000000000000000000e+00), SC_(-1.4852322763418675969604894254451481003482e-01), SC_(9.8890891939203558912519717829149622171011e-01) }}, 
+      {{ SC_(3.9716901779174804687500000000000000000000e+00), SC_(-8.8820726269070577371479191303757464259147e-02), SC_(9.9604762867296402989876530880328911976327e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/trig_data2.ipp b/src/boost/libs/math/test/trig_data2.ipp
new file mode 100644
index 000000000..5cbdc2d26
--- /dev/null
+++ b/src/boost/libs/math/test/trig_data2.ipp
@@ -0,0 +1,160 @@
+//  Copyright John Maddock 2015.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef SC_
+#  define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
+#endif
+   static const boost::array<boost::array<T, 3>, 148> trig_data2 = {{
+      {{ SC_(-1.9999995231628417968750000000000000000000e+00), SC_(1.4980281131690112288542788461553611206918e-06), SC_(9.9999999999887795588607701655175253650385e-01) }}, 
+      {{ SC_(-1.9999985694885253906250000000000000000000e+00), SC_(4.4940843394935868575478645466191072371308e-06), SC_(9.9999999998990160297470825676169589344081e-01) }}, 
+      {{ SC_(-1.9999966621398925781250000000000000000000e+00), SC_(1.0486196791994822995771188961609302512444e-05), SC_(9.9999999994501983841826733236935959894956e-01) }}, 
+      {{ SC_(-1.9999957084655761718750000000000000000000e+00), SC_(1.3482253018117696189242608854023945230621e-05), SC_(9.9999999990911442677359804232502397526992e-01) }}, 
+      {{ SC_(-1.9999852180480957031250000000000000000000e+00), SC_(4.6438871491565280117698474932339407631997e-05), SC_(9.9999999892171560671359413131460719431659e-01) }}, 
+      {{ SC_(-1.9999709129333496093750000000000000000000e+00), SC_(9.1379714776169916676504893028080336305096e-05), SC_(9.9999999582487385499707753413380040254131e-01) }}, 
+      {{ SC_(-1.9999628067016601562500000000000000000000e+00), SC_(1.1684619256134242811309917534624539649780e-04), SC_(9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(-1.9999003410339355468750000000000000000000e+00), SC_(3.1308787053741855117950880780497680759570e-04), SC_(9.9999995098799146008382980990445170109932e-01) }}, 
+      {{ SC_(-1.9998402595520019531250000000000000000000e+00), SC_(5.0183939684769924809171253847476904900975e-04), SC_(9.9999987407860195766947052118236852970333e-01) }}, 
+      {{ SC_(-1.9997320175170898437500000000000000000000e+00), SC_(8.4189170014837154687588880235168421682168e-04), SC_(9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(-1.9992446899414062500000000000000000000000e+00), SC_(2.3728743044973247838253172935228172467424e-03), SC_(9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(-1.9987516403198242187500000000000000000000e+00), SC_(3.9218275467790664715140272043149223642317e-03), SC_(9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(-1.9976792335510253906250000000000000000000e+00), SC_(7.2908382328935566307435101112900335063237e-03), SC_(9.9997342148572217817205233668312377823042e-01) }}, 
+      {{ SC_(-1.9939575195312500000000000000000000000000e+00), SC_(1.8981872167508178357172130364879478736824e-02), SC_(9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(-1.9844307899475097656250000000000000000000e+00), SC_(4.8892615404945346627001407931204211546893e-02), SC_(9.9880404092037197813676426019506317879923e-01) }}, 
+      {{ SC_(-1.9694142341613769531250000000000000000000e+00), SC_(9.5940223552297220176859818946140456738044e-02), SC_(9.9538709731678521178505835566419054715492e-01) }}, 
+      {{ SC_(-1.9376106262207031250000000000000000000000e+00), SC_(1.9474944565077729586702134297397558908793e-01), SC_(9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(-1.8771944046020507812500000000000000000000e+00), SC_(3.7630523255097276560855730503841419331357e-01), SC_(9.2649574848175008067512810410200333264846e-01) }}, 
+      {{ SC_(-1.7540383338928222656250000000000000000000e+00), SC_(6.9807919407529171997035782798891723621393e-01), SC_(7.1602055752554423261801142921491759740208e-01) }}, 
+      {{ SC_(-1.7105970382690429687500000000000000000000e+00), SC_(7.8900402338852276350219626277702904546800e-01), SC_(6.1438802973098639626496377371872238232214e-01) }}, 
+      {{ SC_(-1.4999995231628417968750000000000000000000e+00), SC_(9.9999999999887795588607701655175253650385e-01), SC_(-1.4980281131690112288542788461553611206918e-06) }}, 
+      {{ SC_(-1.4999985694885253906250000000000000000000e+00), SC_(9.9999999998990160297470825676169589344081e-01), SC_(-4.4940843394935868575478645466191072371308e-06) }}, 
+      {{ SC_(-1.4999966621398925781250000000000000000000e+00), SC_(9.9999999994501983841826733236935959894956e-01), SC_(-1.0486196791994822995771188961609302512444e-05) }}, 
+      {{ SC_(-1.4999957084655761718750000000000000000000e+00), SC_(9.9999999990911442677359804232502397526992e-01), SC_(-1.3482253018117696189242608854023945230621e-05) }}, 
+      {{ SC_(-1.4999852180480957031250000000000000000000e+00), SC_(9.9999999892171560671359413131460719431659e-01), SC_(-4.6438871491565280117698474932339407631997e-05) }}, 
+      {{ SC_(-1.4999709129333496093750000000000000000000e+00), SC_(9.9999999582487385499707753413380040254131e-01), SC_(-9.1379714776169916676504893028080336305096e-05) }}, 
+      {{ SC_(-1.4999628067016601562500000000000000000000e+00), SC_(9.9999999317348361865817975703384517397171e-01), SC_(-1.1684619256134242811309917534624539649780e-04) }}, 
+      {{ SC_(-1.4999003410339355468750000000000000000000e+00), SC_(9.9999995098799146008382980990445170109932e-01), SC_(-3.1308787053741855117950880780497680759570e-04) }}, 
+      {{ SC_(-1.4998402595520019531250000000000000000000e+00), SC_(9.9999987407860195766947052118236852970333e-01), SC_(-5.0183939684769924809171253847476904900975e-04) }}, 
+      {{ SC_(-1.4997320175170898437500000000000000000000e+00), SC_(9.9999964560911981419424672295679903989178e-01), SC_(-8.4189170014837154687588880235168421682168e-04) }}, 
+      {{ SC_(-1.4992446899414062500000000000000000000000e+00), SC_(9.9999718472980465503219274828524949063826e-01), SC_(-2.3728743044973247838253172935228172467424e-03) }}, 
+      {{ SC_(-1.4987516403198242187500000000000000000000e+00), SC_(9.9999230960477557309064944107279076437187e-01), SC_(-3.9218275467790664715140272043149223642317e-03) }}, 
+      {{ SC_(-1.4976792335510253906250000000000000000000e+00), SC_(9.9997342148572217817205233668312377823042e-01), SC_(-7.2908382328935566307435101112900335063237e-03) }}, 
+      {{ SC_(-1.4939575195312500000000000000000000000000e+00), SC_(9.9981982803353944005287225251112677857740e-01), SC_(-1.8981872167508178357172130364879478736824e-02) }}, 
+      {{ SC_(-1.4844307899475097656250000000000000000000e+00), SC_(9.9880404092037197813676426019506317879923e-01), SC_(-4.8892615404945346627001407931204211546893e-02) }}, 
+      {{ SC_(-1.4694142341613769531250000000000000000000e+00), SC_(9.9538709731678521178505835566419054715492e-01), SC_(-9.5940223552297220176859818946140456738044e-02) }}, 
+      {{ SC_(-1.4376106262207031250000000000000000000000e+00), SC_(9.8085302335197751084221022090414475952815e-01), SC_(-1.9474944565077729586702134297397558908793e-01) }}, 
+      {{ SC_(-1.3771944046020507812500000000000000000000e+00), SC_(9.2649574848175008067512810410200333264846e-01), SC_(-3.7630523255097276560855730503841419331357e-01) }}, 
+      {{ SC_(-1.2540383338928222656250000000000000000000e+00), SC_(7.1602055752554423261801142921491759740208e-01), SC_(-6.9807919407529171997035782798891723621393e-01) }}, 
+      {{ SC_(-1.2105970382690429687500000000000000000000e+00), SC_(6.1438802973098639626496377371872238232214e-01), SC_(-7.8900402338852276350219626277702904546800e-01) }}, 
+      {{ SC_(-1.1370806694030761718750000000000000000000e+00), SC_(4.1746301773122492119427397853204125415748e-01), SC_(-9.0869391371723129146579397894656016506109e-01) }}, 
+      {{ SC_(-9.9999976158142089843750000000000000000000e-01), SC_(-7.4901405658471572113049856673065563715596e-07), SC_(-9.9999999999971948897151921479471958445202e-01) }}, 
+      {{ SC_(-9.9999952316284179687500000000000000000000e-01), SC_(-1.4980281131690112288542788461553611206918e-06), SC_(-9.9999999999887795588607701655175253650385e-01) }}, 
+      {{ SC_(-9.9999833106994628906250000000000000000000e-01), SC_(-5.2430983960694780971372955823540956317309e-06), SC_(-9.9999999998625495960447237002460255656405e-01) }}, 
+      {{ SC_(-9.9999666213989257812500000000000000000000e-01), SC_(-1.0486196791994822995771188961609302512444e-05), SC_(-9.9999999994501983841826733236935959894956e-01) }}, 
+      {{ SC_(-9.9999570846557617187500000000000000000000e-01), SC_(-1.3482253018117696189242608854023945230621e-05), SC_(-9.9999999990911442677359804232502397526992e-01) }}, 
+      {{ SC_(-9.9998497962951660156250000000000000000000e-01), SC_(-4.7187885547329319055657947640681604270190e-05), SC_(-9.9999999888665172816630219829107169151373e-01) }}, 
+      {{ SC_(-9.9997091293334960937500000000000000000000e-01), SC_(-9.1379714776169916676504893028080336305096e-05), SC_(-9.9999999582487385499707753413380040254131e-01) }}, 
+      {{ SC_(-9.9996280670166015625000000000000000000000e-01), SC_(-1.1684619256134242811309917534624539649780e-04), SC_(-9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(-9.9990034103393554687500000000000000000000e-01), SC_(-3.1308787053741855117950880780497680759570e-04), SC_(-9.9999995098799146008382980990445170109932e-01) }}, 
+      {{ SC_(-9.9984049797058105468750000000000000000000e-01), SC_(-5.0109038288529065804374478551472874530555e-04), SC_(-9.9999987445420620906323428975050136718796e-01) }}, 
+      {{ SC_(-9.9973201751708984375000000000000000000000e-01), SC_(-8.4189170014837154687588880235168421682168e-04), SC_(-9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(-9.9924468994140625000000000000000000000000e-01), SC_(-2.3728743044973247838253172935228172467424e-03), SC_(-9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(-9.9875164031982421875000000000000000000000e-01), SC_(-3.9218275467790664715140272043149223642317e-03), SC_(-9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(-9.9767899513244628906250000000000000000000e-01), SC_(-7.2915872270404153887073312687679308998549e-03), SC_(-9.9997341602450135387659472378982173884007e-01) }}, 
+      {{ SC_(-9.9395751953125000000000000000000000000000e-01), SC_(-1.8981872167508178357172130364879478736824e-02), SC_(-9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(-9.8443078994750976562500000000000000000000e-01), SC_(-4.8892615404945346627001407931204211546893e-02), SC_(-9.9880404092037197813676426019506317879923e-01) }}, 
+      {{ SC_(-9.6941399574279785156250000000000000000000e-01), SC_(-9.5940969111197941216571259124451089062976e-02), SC_(-9.9538702545592996217602751881533829549808e-01) }}, 
+      {{ SC_(-9.3761062622070312500000000000000000000000e-01), SC_(-1.9474944565077729586702134297397558908793e-01), SC_(-9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(-8.7719464302062988281250000000000000000000e-01), SC_(-3.7630453859252822903265212796461262419442e-01), SC_(-9.2649603033939893545876174372382758963708e-01) }}, 
+      {{ SC_(-7.5403809547424316406250000000000000000000e-01), SC_(-6.9807973038455829131535264868499063685839e-01), SC_(-7.1602003465421440923170662542985439906727e-01) }}, 
+      {{ SC_(-7.1059679985046386718750000000000000000000e-01), SC_(-7.8900448357357190506916947609555659455861e-01), SC_(-6.1438743875570983374750220189262336594174e-01) }}, 
+      {{ SC_(-6.3708066940307617187500000000000000000000e-01), SC_(-9.0869391371723129146579397894656016506109e-01), SC_(-4.1746301773122492119427397853204125415748e-01) }}, 
+      {{ SC_(-1.3708055019378662109375000000000000000000e-01), SC_(-4.1746267741893839183276264415132105419314e-01), SC_(9.0869407006000175929162295142108224164498e-01) }}, 
+      {{ SC_(1.0000004768371582031250000000000000000000e+00), SC_(-1.4980281131690112288542788461553611206918e-06), SC_(-9.9999999999887795588607701655175253650385e-01) }}, 
+      {{ SC_(1.0000014305114746093750000000000000000000e+00), SC_(-4.4940843394935868575478645466191072371308e-06), SC_(-9.9999999998990160297470825676169589344081e-01) }}, 
+      {{ SC_(1.0000033378601074218750000000000000000000e+00), SC_(-1.0486196791994822995771188961609302512444e-05), SC_(-9.9999999994501983841826733236935959894956e-01) }}, 
+      {{ SC_(1.0000042915344238281250000000000000000000e+00), SC_(-1.3482253018117696189242608854023945230621e-05), SC_(-9.9999999990911442677359804232502397526992e-01) }}, 
+      {{ SC_(1.0000147819519042968750000000000000000000e+00), SC_(-4.6438871491565280117698474932339407631997e-05), SC_(-9.9999999892171560671359413131460719431659e-01) }}, 
+      {{ SC_(1.0000290870666503906250000000000000000000e+00), SC_(-9.1379714776169916676504893028080336305096e-05), SC_(-9.9999999582487385499707753413380040254131e-01) }}, 
+      {{ SC_(1.0000371932983398437500000000000000000000e+00), SC_(-1.1684619256134242811309917534624539649780e-04), SC_(-9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(1.0000996589660644531250000000000000000000e+00), SC_(-3.1308787053741855117950880780497680759570e-04), SC_(-9.9999995098799146008382980990445170109932e-01) }}, 
+      {{ SC_(1.0001597404479980468750000000000000000000e+00), SC_(-5.0183939684769924809171253847476904900975e-04), SC_(-9.9999987407860195766947052118236852970333e-01) }}, 
+      {{ SC_(1.0002679824829101562500000000000000000000e+00), SC_(-8.4189170014837154687588880235168421682168e-04), SC_(-9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(1.0007553100585937500000000000000000000000e+00), SC_(-2.3728743044973247838253172935228172467424e-03), SC_(-9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(1.0012483596801757812500000000000000000000e+00), SC_(-3.9218275467790664715140272043149223642317e-03), SC_(-9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(1.0023207664489746093750000000000000000000e+00), SC_(-7.2908382328935566307435101112900335063237e-03), SC_(-9.9997342148572217817205233668312377823042e-01) }}, 
+      {{ SC_(1.0060424804687500000000000000000000000000e+00), SC_(-1.8981872167508178357172130364879478736824e-02), SC_(-9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(1.0155692100524902343750000000000000000000e+00), SC_(-4.8892615404945346627001407931204211546893e-02), SC_(-9.9880404092037197813676426019506317879923e-01) }}, 
+      {{ SC_(1.0305857658386230468750000000000000000000e+00), SC_(-9.5940223552297220176859818946140456738044e-02), SC_(-9.9538709731678521178505835566419054715492e-01) }}, 
+      {{ SC_(1.0623893737792968750000000000000000000000e+00), SC_(-1.9474944565077729586702134297397558908793e-01), SC_(-9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(1.1228055953979492187500000000000000000000e+00), SC_(-3.7630523255097276560855730503841419331357e-01), SC_(-9.2649574848175008067512810410200333264846e-01) }}, 
+      {{ SC_(1.2459616661071777343750000000000000000000e+00), SC_(-6.9807919407529171997035782798891723621393e-01), SC_(-7.1602055752554423261801142921491759740208e-01) }}, 
+      {{ SC_(1.2894029617309570312500000000000000000000e+00), SC_(-7.8900402338852276350219626277702904546800e-01), SC_(-6.1438802973098639626496377371872238232214e-01) }}, 
+      {{ SC_(1.5000004768371582031250000000000000000000e+00), SC_(-9.9999999999887795588607701655175253650385e-01), SC_(1.4980281131690112288542788461553611206918e-06) }}, 
+      {{ SC_(1.5000014305114746093750000000000000000000e+00), SC_(-9.9999999998990160297470825676169589344081e-01), SC_(4.4940843394935868575478645466191072371308e-06) }}, 
+      {{ SC_(1.5000033378601074218750000000000000000000e+00), SC_(-9.9999999994501983841826733236935959894956e-01), SC_(1.0486196791994822995771188961609302512444e-05) }}, 
+      {{ SC_(1.5000042915344238281250000000000000000000e+00), SC_(-9.9999999990911442677359804232502397526992e-01), SC_(1.3482253018117696189242608854023945230621e-05) }}, 
+      {{ SC_(1.5000147819519042968750000000000000000000e+00), SC_(-9.9999999892171560671359413131460719431659e-01), SC_(4.6438871491565280117698474932339407631997e-05) }}, 
+      {{ SC_(1.5000290870666503906250000000000000000000e+00), SC_(-9.9999999582487385499707753413380040254131e-01), SC_(9.1379714776169916676504893028080336305096e-05) }}, 
+      {{ SC_(1.5000371932983398437500000000000000000000e+00), SC_(-9.9999999317348361865817975703384517397171e-01), SC_(1.1684619256134242811309917534624539649780e-04) }}, 
+      {{ SC_(1.5000996589660644531250000000000000000000e+00), SC_(-9.9999995098799146008382980990445170109932e-01), SC_(3.1308787053741855117950880780497680759570e-04) }}, 
+      {{ SC_(1.5001597404479980468750000000000000000000e+00), SC_(-9.9999987407860195766947052118236852970333e-01), SC_(5.0183939684769924809171253847476904900975e-04) }}, 
+      {{ SC_(1.5002679824829101562500000000000000000000e+00), SC_(-9.9999964560911981419424672295679903989178e-01), SC_(8.4189170014837154687588880235168421682168e-04) }}, 
+      {{ SC_(1.5007553100585937500000000000000000000000e+00), SC_(-9.9999718472980465503219274828524949063826e-01), SC_(2.3728743044973247838253172935228172467424e-03) }}, 
+      {{ SC_(1.5012483596801757812500000000000000000000e+00), SC_(-9.9999230960477557309064944107279076437187e-01), SC_(3.9218275467790664715140272043149223642317e-03) }}, 
+      {{ SC_(1.5023207664489746093750000000000000000000e+00), SC_(-9.9997342148572217817205233668312377823042e-01), SC_(7.2908382328935566307435101112900335063237e-03) }}, 
+      {{ SC_(1.5060424804687500000000000000000000000000e+00), SC_(-9.9981982803353944005287225251112677857740e-01), SC_(1.8981872167508178357172130364879478736824e-02) }}, 
+      {{ SC_(1.5155692100524902343750000000000000000000e+00), SC_(-9.9880404092037197813676426019506317879923e-01), SC_(4.8892615404945346627001407931204211546893e-02) }}, 
+      {{ SC_(1.5305857658386230468750000000000000000000e+00), SC_(-9.9538709731678521178505835566419054715492e-01), SC_(9.5940223552297220176859818946140456738044e-02) }}, 
+      {{ SC_(1.5623893737792968750000000000000000000000e+00), SC_(-9.8085302335197751084221022090414475952815e-01), SC_(1.9474944565077729586702134297397558908793e-01) }}, 
+      {{ SC_(1.6228055953979492187500000000000000000000e+00), SC_(-9.2649574848175008067512810410200333264846e-01), SC_(3.7630523255097276560855730503841419331357e-01) }}, 
+      {{ SC_(1.7459616661071777343750000000000000000000e+00), SC_(-7.1602055752554423261801142921491759740208e-01), SC_(6.9807919407529171997035782798891723621393e-01) }}, 
+      {{ SC_(1.7894029617309570312500000000000000000000e+00), SC_(-6.1438802973098639626496377371872238232214e-01), SC_(7.8900402338852276350219626277702904546800e-01) }}, 
+      {{ SC_(1.8629193305969238281250000000000000000000e+00), SC_(-4.1746301773122492119427397853204125415748e-01), SC_(9.0869391371723129146579397894656016506109e-01) }}, 
+      {{ SC_(2.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00) }}, 
+      {{ SC_(2.0000019073486328125000000000000000000000e+00), SC_(5.9921124526424278428797118088908617299872e-06), SC_(9.9999999998204729417728262414778410737964e-01) }}, 
+      {{ SC_(2.0000028610229492187500000000000000000000e+00), SC_(8.9881686788964076192450246007437023043257e-06), SC_(9.9999999995960641189903698229174441602069e-01) }}, 
+      {{ SC_(2.0000038146972656250000000000000000000000e+00), SC_(1.1984224905069706421521561596988984804732e-05), SC_(9.9999999992818917670977509588385049026048e-01) }}, 
+      {{ SC_(2.0000143051147460937500000000000000000000e+00), SC_(4.4940843379959462761564286047113411974000e-05), SC_(9.9999999899016029763908875325140940739113e-01) }}, 
+      {{ SC_(2.0000286102294921875000000000000000000000e+00), SC_(8.9881686669152829717795387171401845170856e-05), SC_(9.9999999596064119259590746193438526128523e-01) }}, 
+      {{ SC_(2.0000371932983398437500000000000000000000e+00), SC_(1.1684619256134242811309917534624539649780e-04), SC_(9.9999999317348361865817975703384517397171e-01) }}, 
+      {{ SC_(2.0000991821289062500000000000000000000000e+00), SC_(3.1158984249731960822405142280490373395657e-04), SC_(9.9999995145588384798217323600349215222192e-01) }}, 
+      {{ SC_(2.0001592636108398437500000000000000000000e+00), SC_(5.0034136892260094523844706589235605397421e-04), SC_(9.9999987482924943847047044738353787252112e-01) }}, 
+      {{ SC_(2.0002679824829101562500000000000000000000e+00), SC_(8.4189170014837154687588880235168421682168e-04), SC_(9.9999964560911981419424672295679903989178e-01) }}, 
+      {{ SC_(2.0007553100585937500000000000000000000000e+00), SC_(2.3728743044973247838253172935228172467424e-03), SC_(9.9999718472980465503219274828524949063826e-01) }}, 
+      {{ SC_(2.0012483596801757812500000000000000000000e+00), SC_(3.9218275467790664715140272043149223642317e-03), SC_(9.9999230960477557309064944107279076437187e-01) }}, 
+      {{ SC_(2.0023202896118164062500000000000000000000e+00), SC_(7.2893402445875685718309310011223138924629e-03), SC_(9.9997343240648080532241755401327069531063e-01) }}, 
+      {{ SC_(2.0060424804687500000000000000000000000000e+00), SC_(1.8981872167508178357172130364879478736824e-02), SC_(9.9981982803353944005287225251112677857740e-01) }}, 
+      {{ SC_(2.0155687332153320312500000000000000000000e+00), SC_(4.8891119168357641426955981953471866397804e-02), SC_(9.9880411416176367891009655338470382368524e-01) }}, 
+      {{ SC_(2.0305852890014648437500000000000000000000e+00), SC_(9.5938732434334304771023968784410054299194e-02), SC_(9.9538724103682040861237580872061890490118e-01) }}, 
+      {{ SC_(2.0623893737792968750000000000000000000000e+00), SC_(1.9474944565077729586702134297397558908793e-01), SC_(9.8085302335197751084221022090414475952815e-01) }}, 
+      {{ SC_(2.1228055953979492187500000000000000000000e+00), SC_(3.7630523255097276560855730503841419331357e-01), SC_(9.2649574848175008067512810410200333264846e-01) }}, 
+      {{ SC_(2.2459611892700195312500000000000000000000e+00), SC_(6.9807812145558366410510314778327047985312e-01), SC_(7.1602160326699876911924965932760594412897e-01) }}, 
+      {{ SC_(2.2894029617309570312500000000000000000000e+00), SC_(7.8900402338852276350219626277702904546800e-01), SC_(6.1438802973098639626496377371872238232214e-01) }}, 
+      {{ SC_(2.3629188537597656250000000000000000000000e+00), SC_(9.0869328834487492706020241698554993000928e-01), SC_(4.1746437897978552326073028034696674963028e-01) }}, 
+      {{ SC_(2.5000000000000000000000000000000000000000e+00), SC_(1.0000000000000000000000000000000000000000e+00), SC_(0.0000000000000000000000000000000000000000e+00) }}, 
+      {{ SC_(2.5000019073486328125000000000000000000000e+00), SC_(9.9999999998204729417728262414778410737964e-01), SC_(-5.9921124526424278428797118088908617299872e-06) }}, 
+      {{ SC_(2.5000028610229492187500000000000000000000e+00), SC_(9.9999999995960641189903698229174441602069e-01), SC_(-8.9881686788964076192450246007437023043257e-06) }}, 
+      {{ SC_(2.5000038146972656250000000000000000000000e+00), SC_(9.9999999992818917670977509588385049026048e-01), SC_(-1.1984224905069706421521561596988984804732e-05) }}, 
+      {{ SC_(2.5000143051147460937500000000000000000000e+00), SC_(9.9999999899016029763908875325140940739113e-01), SC_(-4.4940843379959462761564286047113411974000e-05) }}, 
+      {{ SC_(2.5000286102294921875000000000000000000000e+00), SC_(9.9999999596064119259590746193438526128523e-01), SC_(-8.9881686669152829717795387171401845170856e-05) }}, 
+      {{ SC_(2.5000371932983398437500000000000000000000e+00), SC_(9.9999999317348361865817975703384517397171e-01), SC_(-1.1684619256134242811309917534624539649780e-04) }}, 
+      {{ SC_(2.5000991821289062500000000000000000000000e+00), SC_(9.9999995145588384798217323600349215222192e-01), SC_(-3.1158984249731960822405142280490373395657e-04) }}, 
+      {{ SC_(2.5001592636108398437500000000000000000000e+00), SC_(9.9999987482924943847047044738353787252112e-01), SC_(-5.0034136892260094523844706589235605397421e-04) }}, 
+      {{ SC_(2.5002679824829101562500000000000000000000e+00), SC_(9.9999964560911981419424672295679903989178e-01), SC_(-8.4189170014837154687588880235168421682168e-04) }}, 
+      {{ SC_(2.5007553100585937500000000000000000000000e+00), SC_(9.9999718472980465503219274828524949063826e-01), SC_(-2.3728743044973247838253172935228172467424e-03) }}, 
+      {{ SC_(2.5012483596801757812500000000000000000000e+00), SC_(9.9999230960477557309064944107279076437187e-01), SC_(-3.9218275467790664715140272043149223642317e-03) }}, 
+      {{ SC_(2.5023202896118164062500000000000000000000e+00), SC_(9.9997343240648080532241755401327069531063e-01), SC_(-7.2893402445875685718309310011223138924629e-03) }}, 
+      {{ SC_(2.5060424804687500000000000000000000000000e+00), SC_(9.9981982803353944005287225251112677857740e-01), SC_(-1.8981872167508178357172130364879478736824e-02) }}, 
+      {{ SC_(2.5155687332153320312500000000000000000000e+00), SC_(9.9880411416176367891009655338470382368524e-01), SC_(-4.8891119168357641426955981953471866397804e-02) }}, 
+      {{ SC_(2.5305852890014648437500000000000000000000e+00), SC_(9.9538724103682040861237580872061890490118e-01), SC_(-9.5938732434334304771023968784410054299194e-02) }}, 
+      {{ SC_(2.5623893737792968750000000000000000000000e+00), SC_(9.8085302335197751084221022090414475952815e-01), SC_(-1.9474944565077729586702134297397558908793e-01) }}, 
+      {{ SC_(2.6228055953979492187500000000000000000000e+00), SC_(9.2649574848175008067512810410200333264846e-01), SC_(-3.7630523255097276560855730503841419331357e-01) }}, 
+      {{ SC_(2.7459611892700195312500000000000000000000e+00), SC_(7.1602160326699876911924965932760594412897e-01), SC_(-6.9807812145558366410510314778327047985312e-01) }}, 
+      {{ SC_(2.7894029617309570312500000000000000000000e+00), SC_(6.1438802973098639626496377371872238232214e-01), SC_(-7.8900402338852276350219626277702904546800e-01) }}, 
+      {{ SC_(2.8629188537597656250000000000000000000000e+00), SC_(4.1746437897978552326073028034696674963028e-01), SC_(-9.0869328834487492706020241698554993000928e-01) }}, 
+      {{ SC_(3.3629188537597656250000000000000000000000e+00), SC_(-9.0869328834487492706020241698554993000928e-01), SC_(-4.1746437897978552326073028034696674963028e-01) }}
+   }};
+//#undef SC_
+
diff --git a/src/boost/libs/math/test/univariate_statistics_test.cpp b/src/boost/libs/math/test/univariate_statistics_test.cpp
new file mode 100644
index 000000000..11598c7ff
--- /dev/null
+++ b/src/boost/libs/math/test/univariate_statistics_test.cpp
@@ -0,0 +1,906 @@
+/*
+ *  (C) Copyright Nick Thompson 2018.
+ *  Use, modification and distribution are subject to the
+ *  Boost Software License, Version 1.0. (See accompanying file
+ *  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <vector>
+#include <array>
+#include <forward_list>
+#include <algorithm>
+#include <random>
+#include <boost/core/lightweight_test.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/math/constants/constants.hpp>
+#include <boost/math/statistics/univariate_statistics.hpp>
+#include <boost/multiprecision/cpp_bin_float.hpp>
+#include <boost/multiprecision/cpp_complex.hpp>
+
+using boost::multiprecision::cpp_bin_float_50;
+using boost::multiprecision::cpp_complex_50;
+
+/*
+ * Test checklist:
+ * 1) Does it work with multiprecision?
+ * 2) Does it work with .cbegin()/.cend() if the data is not altered?
+ * 3) Does it work with ublas and std::array? (Checking Eigen and Armadillo will make the CI system really unhappy.)
+ * 4) Does it work with std::forward_list if a forward iterator is all that is required?
+ * 5) Does it work with complex data if complex data is sensible?
+ */
+
+ // To stress test, set global_seed = 0, global_size = huge.
+ static const constexpr size_t global_seed = 0;
+ static const constexpr size_t global_size = 128;
+
+template<class T>
+std::vector<T> generate_random_vector(size_t size, size_t seed)
+{
+    if (seed == 0)
+    {
+        std::random_device rd;
+        seed = rd();
+    }
+    std::vector<T> v(size);
+
+    std::mt19937 gen(seed);
+
+    if constexpr (std::is_floating_point<T>::value)
+    {
+        std::normal_distribution<T> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+         v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (std::is_integral<T>::value)
+    {
+        // Rescaling by larger than 2 is UB!
+        std::uniform_int_distribution<T> dis(std::numeric_limits<T>::lowest()/2, (std::numeric_limits<T>::max)()/2);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+         v[i] = dis(gen);
+        }
+        return v;
+    }
+    else if constexpr (boost::is_complex<T>::value)
+    {
+        std::normal_distribution<typename T::value_type> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_complex)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = {dis(gen), dis(gen)};
+        }
+        return v;
+    }
+    else if constexpr (boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_floating_point)
+    {
+        std::normal_distribution<long double> dis(0, 1);
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = dis(gen);
+        }
+        return v;
+    }
+    else
+    {
+        BOOST_ASSERT_MSG(false, "Could not identify type for random vector generation.");
+        return v;
+    }
+}
+
+
+template<class Z>
+void test_integer_mean()
+{
+    double tol = 100*std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,2,3,4,5};
+    double mu = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Work with std::array?
+    std::array<Z, 5> w{1,2,3,4,5};
+    mu = boost::math::statistics::mean(w);
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+
+    double m1 = scale*boost::math::statistics::mean(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class RandomAccessContainer>
+auto naive_mean(RandomAccessContainer const & v)
+{
+    typename RandomAccessContainer::value_type sum = 0;
+    for (auto & x : v)
+    {
+        sum += x;
+    }
+    return sum/v.size();
+}
+
+template<class Real>
+void test_mean()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,2,3,4,5};
+    Real mu = boost::math::statistics::mean(v.begin(), v.end());
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Does range call work?
+    mu = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Can we successfully average only part of the vector?
+    mu = boost::math::statistics::mean(v.begin(), v.begin() + 3);
+    BOOST_TEST(abs(mu - 2) < tol);
+
+    // Does it work when we const qualify?
+    mu = boost::math::statistics::mean(v.cbegin(), v.cend());
+    BOOST_TEST(abs(mu - 3) < tol);
+
+    // Does it work for std::array?
+    std::array<Real, 7> u{1,2,3,4,5,6,7};
+    mu = boost::math::statistics::mean(u.begin(), u.end());
+    BOOST_TEST(abs(mu - 4) < 10*tol);
+
+    // Does it work for a forward iterator?
+    std::forward_list<Real> l{1,2,3,4,5,6,7};
+    mu = boost::math::statistics::mean(l.begin(), l.end());
+    BOOST_TEST(abs(mu - 4) < tol);
+
+    // Does it work with ublas vectors?
+    boost::numeric::ublas::vector<Real> w(7);
+    for (size_t i = 0; i < w.size(); ++i)
+    {
+        w[i] = i+1;
+    }
+    mu = boost::math::statistics::mean(w.cbegin(), w.cend());
+    BOOST_TEST(abs(mu - 4) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = scale*boost::math::statistics::mean(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+    // Stress test:
+    for (size_t i = 1; i < 30; ++i)
+    {
+        v = generate_random_vector<Real>(i, 12803);
+        auto naive_ = naive_mean(v);
+        auto higham_ = boost::math::statistics::mean(v);
+        if (abs(higham_ - naive_) >= 100*tol*abs(naive_))
+        {
+            std::cout << std::hexfloat;
+            std::cout << "Terms = " << v.size() << "\n";
+            std::cout << "higham = " << higham_ << "\n";
+            std::cout << "naive_ = " << naive_ << "\n";
+        }
+        BOOST_TEST(abs(higham_ - naive_) < 100*tol*abs(naive_));
+    }
+
+}
+
+template<class Complex>
+void test_complex_mean()
+{
+    typedef typename Complex::value_type Real;
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Complex> v{{0,1},{0,2},{0,3},{0,4},{0,5}};
+    auto mu = boost::math::statistics::mean(v.begin(), v.end());
+    BOOST_TEST(abs(mu.imag() - 3) < tol);
+    BOOST_TEST(abs(mu.real()) < tol);
+
+    // Does range work?
+    mu = boost::math::statistics::mean(v);
+    BOOST_TEST(abs(mu.imag() - 3) < tol);
+    BOOST_TEST(abs(mu.real()) < tol);
+}
+
+template<class Real>
+void test_variance()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1,1,1,1};
+    Real sigma_sq = boost::math::statistics::variance(v.begin(), v.end());
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    sigma_sq = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    Real s_sq = boost::math::statistics::sample_variance(v);
+    BOOST_TEST(abs(s_sq) < tol);
+
+    std::vector<Real> u{1};
+    sigma_sq = boost::math::statistics::variance(u.cbegin(), u.cend());
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    std::array<Real, 8> w{0,1,0,1,0,1,0,1};
+    sigma_sq = boost::math::statistics::variance(w.begin(), w.end());
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    sigma_sq = boost::math::statistics::variance(w);
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    std::forward_list<Real> l{0,1,0,1,0,1,0,1};
+    sigma_sq = boost::math::statistics::variance(l.begin(), l.end());
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = scale*scale*boost::math::statistics::variance(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+    // Wikipedia example for a variance of N sided die:
+    // https://en.wikipedia.org/wiki/Variance
+    for (size_t j = 16; j < 2048; j *= 2)
+    {
+        v.resize(1024);
+        Real n = v.size();
+        for (size_t i = 0; i < v.size(); ++i)
+        {
+            v[i] = i + 1;
+        }
+
+        sigma_sq = boost::math::statistics::variance(v);
+
+        BOOST_TEST(abs(sigma_sq - (n*n-1)/Real(12)) <= tol*sigma_sq);
+    }
+
+}
+
+template<class Z>
+void test_integer_variance()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1,1,1,1};
+    double sigma_sq = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(sigma_sq) < tol);
+
+    std::forward_list<Z> l{0,1,0,1,0,1,0,1};
+    sigma_sq = boost::math::statistics::variance(l.begin(), l.end());
+    BOOST_TEST(abs(sigma_sq - 1.0/4.0) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double m1 = scale*scale*boost::math::statistics::variance(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::variance(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class Z>
+void test_integer_skewness()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1};
+    double skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    // Dataset is symmetric about the mean:
+    v = {1,2,3,4,5};
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew - 3.0/2.0) < tol);
+
+    std::forward_list<Z> v2{0,0,0,0,5};
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew - 3.0/2.0) < tol);
+
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double m1 = boost::math::statistics::skewness(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+}
+
+template<class Real>
+void test_skewness()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    Real skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    // Dataset is symmetric about the mean:
+    v = {1,2,3,4,5};
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew) < tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2
+    skew = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(skew - Real(3)/Real(2)) < tol);
+
+    std::array<Real, 5> w1{0,0,0,0,5};
+    skew = boost::math::statistics::skewness(w1);
+    BOOST_TEST(abs(skew - Real(3)/Real(2)) < tol);
+
+    std::forward_list<Real> w2{0,0,0,0,5};
+    skew = boost::math::statistics::skewness(w2);
+    BOOST_TEST(abs(skew - Real(3)/Real(2)) < tol);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = boost::math::statistics::skewness(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::skewness(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class Real>
+void test_kurtosis()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    Real kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt) < tol);
+
+    v = {1,2,3,4,5};
+    // mu =1, sigma^2 = 2, kurtosis = 17/10
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - Real(17)/Real(10)) < 10*tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2, kurtosis = 13/4
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - Real(13)/Real(4)) < tol);
+
+    std::array<Real, 5> v1{0,0,0,0,5};
+    kurt = boost::math::statistics::kurtosis(v1);
+    BOOST_TEST(abs(kurt - Real(13)/Real(4)) < tol);
+
+    std::forward_list<Real> v2{0,0,0,0,5};
+    kurt = boost::math::statistics::kurtosis(v2);
+    BOOST_TEST(abs(kurt - Real(13)/Real(4)) < tol);
+
+    std::vector<Real> v3(10000);
+    std::mt19937 gen(42);
+    std::normal_distribution<long double> dis(0, 1);
+    for (size_t i = 0; i < v3.size(); ++i) {
+        v3[i] = dis(gen);
+    }
+    kurt = boost::math::statistics::kurtosis(v3);
+    BOOST_TEST(abs(kurt - 3) < 0.1);
+
+    std::uniform_real_distribution<long double> udis(-1, 3);
+    for (size_t i = 0; i < v3.size(); ++i) {
+        v3[i] = udis(gen);
+    }
+    auto excess_kurtosis = boost::math::statistics::excess_kurtosis(v3);
+    BOOST_TEST(abs(excess_kurtosis + 6.0/5.0) < 0.2);
+
+    v = generate_random_vector<Real>(global_size, global_seed);
+    Real scale = 2;
+    Real m1 = boost::math::statistics::kurtosis(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    Real m2 = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+
+    // This test only passes when there are a large number of samples.
+    // Otherwise, the distribution doesn't generate enough outliers to give,
+    // or generates too many, giving pretty wildly different values of kurtosis on different runs.
+    // However, by kicking up the samples to 1,000,000, I got very close to 6 for the excess kurtosis on every run.
+    // The CI system, however, would die on a million long doubles.
+    //v3.resize(1000000);
+    //std::exponential_distribution<long double> edis(0.1);
+    //for (size_t i = 0; i < v3.size(); ++i) {
+    //    v3[i] = edis(gen);
+    //}
+    //excess_kurtosis = boost::math::statistics::kurtosis(v3) - 3;
+    //BOOST_TEST(abs(excess_kurtosis - 6.0) < 0.2);
+}
+
+template<class Z>
+void test_integer_kurtosis()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,1,1};
+    double kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt) < tol);
+
+    v = {1,2,3,4,5};
+    // mu =1, sigma^2 = 2, kurtosis = 17/10
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - 17.0/10.0) < 10*tol);
+
+    v = {0,0,0,0,5};
+    // mu = 1, sigma^2 = 4, sigma = 2, skew = 3/2, kurtosis = 13/4
+    kurt = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(kurt - 13.0/4.0) < tol);
+
+    v = generate_random_vector<Z>(global_size, global_seed);
+    Z scale = 2;
+    double m1 = boost::math::statistics::kurtosis(v);
+    for (auto & x : v)
+    {
+        x *= scale;
+    }
+    double m2 = boost::math::statistics::kurtosis(v);
+    BOOST_TEST(abs(m1 - m2) < tol*abs(m1));
+}
+
+template<class Real>
+void test_first_four_moments()
+{
+    Real tol = 10*std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,1,1};
+    auto [M1_1, M2_1, M3_1, M4_1] = boost::math::statistics::first_four_moments(v);
+    BOOST_TEST(abs(M1_1 - 1) < tol);
+    BOOST_TEST(abs(M2_1) < tol);
+    BOOST_TEST(abs(M3_1) < tol);
+    BOOST_TEST(abs(M4_1) < tol);
+
+    v = {1, 2, 3, 4, 5};
+    auto [M1_2, M2_2, M3_2, M4_2] = boost::math::statistics::first_four_moments(v);
+    BOOST_TEST(abs(M1_2 - 3) < tol);
+    BOOST_TEST(abs(M2_2 - 2) < tol);
+    BOOST_TEST(abs(M3_2) < tol);
+    BOOST_TEST(abs(M4_2 - Real(34)/Real(5)) < tol);
+}
+
+template<class Real>
+void test_median()
+{
+    std::mt19937 g(12);
+    std::vector<Real> v{1,2,3,4,5,6,7};
+
+    Real m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 4);
+
+    std::shuffle(v.begin(), v.end(), g);
+    // Does range call work?
+    m = boost::math::statistics::median(v);
+    BOOST_TEST_EQ(m, 4);
+
+    v = {1,2,3,3,4,5};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 3);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 3);
+
+    v = {1};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    v = {1,1};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    v = {2,4};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 3);
+
+    v = {1,1,1};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    v = {1,2,3};
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 2);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 2);
+
+    // Does it work with std::array?
+    std::array<Real, 3> w{1,2,3};
+    m = boost::math::statistics::median(w);
+    BOOST_TEST_EQ(m, 2);
+
+    // Does it work with ublas?
+    boost::numeric::ublas::vector<Real> w1(3);
+    w1[0] = 1;
+    w1[1] = 2;
+    w1[2] = 3;
+    m = boost::math::statistics::median(w);
+    BOOST_TEST_EQ(m, 2);
+}
+
+template<class Real>
+void test_median_absolute_deviation()
+{
+    std::vector<Real> v{-1, 2, -3, 4, -5, 6, -7};
+
+    Real m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 4);
+
+    std::mt19937 g(12);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median_absolute_deviation(v, 0);
+    BOOST_TEST_EQ(m, 4);
+
+    v = {1, -2, -3, 3, -4, -5};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 3);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 3);
+
+    v = {-1};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 1);
+
+    v = {-1, 1};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 1);
+    // The median is zero, so coincides with the default:
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end());
+    BOOST_TEST_EQ(m, 1);
+
+    m = boost::math::statistics::median_absolute_deviation(v);
+    BOOST_TEST_EQ(m, 1);
+
+
+    v = {2, -4};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 3);
+
+    v = {1, -1, 1};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 1);
+
+    v = {1, 2, -3};
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 2);
+    std::shuffle(v.begin(), v.end(), g);
+    m = boost::math::statistics::median_absolute_deviation(v.begin(), v.end(), 0);
+    BOOST_TEST_EQ(m, 2);
+
+    std::array<Real, 3> w{1, 2, -3};
+    m = boost::math::statistics::median_absolute_deviation(w, 0);
+    BOOST_TEST_EQ(m, 2);
+
+    // boost.ublas vector?
+    boost::numeric::ublas::vector<Real> u(6);
+    u[0] = 1;
+    u[1] = 2;
+    u[2] = -3;
+    u[3] = 1;
+    u[4] = 2;
+    u[5] = -3;
+    m = boost::math::statistics::median_absolute_deviation(u, 0);
+    BOOST_TEST_EQ(m, 2);
+}
+
+
+template<class Real>
+void test_sample_gini_coefficient()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,0,0};
+    Real gini = boost::math::statistics::sample_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini - 1) < tol);
+
+    gini = boost::math::statistics::sample_gini_coefficient(v);
+    BOOST_TEST(abs(gini - 1) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    gini = boost::math::statistics::sample_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    v[0] = 0;
+    v[1] = 0;
+    v[2] = 0;
+    gini = boost::math::statistics::sample_gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::array<Real, 3> w{0,0,0};
+    gini = boost::math::statistics::sample_gini_coefficient(w);
+    BOOST_TEST(abs(gini) < tol);
+}
+
+
+template<class Real>
+void test_gini_coefficient()
+{
+    Real tol = std::numeric_limits<Real>::epsilon();
+    std::vector<Real> v{1,0,0};
+    Real gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    Real expected = Real(2)/Real(3);
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    gini = boost::math::statistics::gini_coefficient(v);
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    v[0] = 0;
+    v[1] = 0;
+    v[2] = 0;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::array<Real, 3> w{0,0,0};
+    gini = boost::math::statistics::gini_coefficient(w);
+    BOOST_TEST(abs(gini) < tol);
+
+    boost::numeric::ublas::vector<Real> w1(3);
+    w1[0] = 1;
+    w1[1] = 1;
+    w1[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(w1);
+    BOOST_TEST(abs(gini) < tol);
+
+    std::mt19937 gen(18);
+    // Gini coefficient for a uniform distribution is (b-a)/(3*(b+a));
+    std::uniform_real_distribution<long double> dis(0, 3);
+    expected = (dis.b() - dis.a())/(3*(dis.b()+ dis.a()));
+    v.resize(1024);
+    for(size_t i = 0; i < v.size(); ++i)
+    {
+        v[i] = dis(gen);
+    }
+    gini = boost::math::statistics::gini_coefficient(v);
+    BOOST_TEST(abs(gini - expected) < 0.01);
+
+}
+
+template<class Z>
+void test_integer_gini_coefficient()
+{
+    double tol = std::numeric_limits<double>::epsilon();
+    std::vector<Z> v{1,0,0};
+    double gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    double expected = 2.0/3.0;
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    gini = boost::math::statistics::gini_coefficient(v);
+    BOOST_TEST(abs(gini - expected) < tol);
+
+    v[0] = 1;
+    v[1] = 1;
+    v[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    v[0] = 0;
+    v[1] = 0;
+    v[2] = 0;
+    gini = boost::math::statistics::gini_coefficient(v.begin(), v.end());
+    BOOST_TEST(abs(gini) < tol);
+
+    std::array<Z, 3> w{0,0,0};
+    gini = boost::math::statistics::gini_coefficient(w);
+    BOOST_TEST(abs(gini) < tol);
+
+    boost::numeric::ublas::vector<Z> w1(3);
+    w1[0] = 1;
+    w1[1] = 1;
+    w1[2] = 1;
+    gini = boost::math::statistics::gini_coefficient(w1);
+    BOOST_TEST(abs(gini) < tol);
+}
+
+template<typename Real>
+void test_interquartile_range()
+{
+    std::mt19937 gen(486);
+    Real iqr;
+    // Taken from Wikipedia's example:
+    std::vector<Real> v{7, 7, 31, 31, 47, 75, 87, 115, 116, 119, 119, 155, 177};
+
+    // Q1 = 31, Q3 = 119, Q3 - Q1 = 88.
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 88);
+
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 88);
+
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 88);
+
+    std::fill(v.begin(), v.end(), 1);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 0);
+
+    v = {1,2,3};
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 2);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 2);
+
+    v = {0, 3, 5};
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 5);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 5);
+
+    v = {1,2,3,4};
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 2);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 2);
+
+    v = {1,2,3,4,5};
+    // Q1 = 1.5, Q3 = 4.5
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 3);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 3);
+
+    v = {1,2,3,4,5,6};
+    // Q1 = 2, Q3 = 5
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 3);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 3);
+
+    v = {1,2,3, 4, 5,6,7};
+    // Q1 = 2, Q3 = 6
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 4);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 4);
+
+    v = {1,2,3,4,5,6,7,8};
+    // Q1 = 2.5, Q3 = 6.5
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 4);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 4);
+
+    v = {1,2,3,4,5,6,7,8,9};
+    // Q1 = 2.5, Q3 = 7.5
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 5);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 5);
+
+    v = {1,2,3,4,5,6,7,8,9,10};
+    // Q1 = 3, Q3 = 8
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 5);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 5);
+
+    v = {1,2,3,4,5,6,7,8,9,10,11};
+    // Q1 = 3, Q3 = 9
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 6);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 6);
+
+    v = {1,2,3,4,5,6,7,8,9,10,11,12};
+    // Q1 = 3.5, Q3 = 9.5
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 6);
+    std::shuffle(v.begin(), v.end(), gen);
+    iqr = boost::math::statistics::interquartile_range(v);
+    BOOST_TEST_EQ(iqr, 6);
+}
+
+int main()
+{
+    test_mean<float>();
+    test_mean<double>();
+    test_mean<long double>();
+    test_mean<cpp_bin_float_50>();
+
+    test_integer_mean<unsigned>();
+    test_integer_mean<int>();
+
+    test_complex_mean<std::complex<float>>();
+    test_complex_mean<cpp_complex_50>();
+
+    test_variance<float>();
+    test_variance<double>();
+    test_variance<long double>();
+    test_variance<cpp_bin_float_50>();
+
+    test_integer_variance<int>();
+    test_integer_variance<unsigned>();
+
+    test_skewness<float>();
+    test_skewness<double>();
+    test_skewness<long double>();
+    test_skewness<cpp_bin_float_50>();
+
+    test_integer_skewness<int>();
+    test_integer_skewness<unsigned>();
+
+    test_first_four_moments<float>();
+    test_first_four_moments<double>();
+    test_first_four_moments<long double>();
+    test_first_four_moments<cpp_bin_float_50>();
+
+    test_kurtosis<float>();
+    test_kurtosis<double>();
+    test_kurtosis<long double>();
+    // Kinda expensive:
+    //test_kurtosis<cpp_bin_float_50>();
+
+    test_integer_kurtosis<int>();
+    test_integer_kurtosis<unsigned>();
+
+    test_median<float>();
+    test_median<double>();
+    test_median<long double>();
+    test_median<cpp_bin_float_50>();
+    test_median<int>();
+
+    test_median_absolute_deviation<float>();
+    test_median_absolute_deviation<double>();
+    test_median_absolute_deviation<long double>();
+    test_median_absolute_deviation<cpp_bin_float_50>();
+
+    test_gini_coefficient<float>();
+    test_gini_coefficient<double>();
+    test_gini_coefficient<long double>();
+    test_gini_coefficient<cpp_bin_float_50>();
+
+    test_integer_gini_coefficient<unsigned>();
+    test_integer_gini_coefficient<int>();
+
+    test_sample_gini_coefficient<float>();
+    test_sample_gini_coefficient<double>();
+    test_sample_gini_coefficient<long double>();
+    test_sample_gini_coefficient<cpp_bin_float_50>();
+
+    test_interquartile_range<double>();
+    test_interquartile_range<cpp_bin_float_50>();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/math/test/wavelet_transform_test.cpp b/src/boost/libs/math/test/wavelet_transform_test.cpp
new file mode 100644
index 000000000..25ed881dc
--- /dev/null
+++ b/src/boost/libs/math/test/wavelet_transform_test.cpp
@@ -0,0 +1,124 @@
+/*
+ * Copyright Nick Thompson, 2020
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <iomanip>
+#include <iostream>
+#include <cmath>
+#include <boost/core/demangle.hpp>
+#include <boost/hana/for_each.hpp>
+#include <boost/hana/ext/std/integer_sequence.hpp>
+#include <boost/math/quadrature/wavelet_transforms.hpp>
+#include <boost/math/tools/minima.hpp>
+#include <boost/math/quadrature/trapezoidal.hpp>
+
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+
+using boost::math::constants::pi;
+using boost::math::constants::root_two;
+using boost::math::quadrature::daubechies_wavelet_transform;
+using boost::math::quadrature::trapezoidal;
+
+template<typename Real, int p>
+void test_wavelet_transform()
+{
+    std::cout << "Testing wavelet transform of " << p << " vanishing moment Daubechies wavelet on type " << boost::core::demangle(typeid(Real).name()) << "\n";
+    auto psi = boost::math::daubechies_wavelet<Real, p>();
+
+    auto abs_psi = [&psi](Real x) {
+        return abs(psi(x));
+    };
+    auto [a, b] = psi.support();
+    auto psil1 = trapezoidal(abs_psi, a, b);
+    Real psi_sup_norm = 0;
+    for (double x = a; x < b; x += 0.0001)
+    {
+        Real y = psi(x);
+        if (std::abs(y) > psi_sup_norm)
+        {
+            psi_sup_norm = std::abs(y);
+        }
+    }
+    std::cout << "psi sup norm = " << psi_sup_norm << "\n";
+    // An even function:
+    auto f = [](Real x) {
+        return std::exp(-abs(x));
+    };
+    Real fmax = 1;
+    Real fl2 = 1;
+    Real fl1 = 2;
+    std::cout << "||f||_1 = " << fl1 << "\n";
+    std::cout << "||f||_2 = " << fl2 << "\n";
+
+    auto Wf = daubechies_wavelet_transform(f, psi);
+    for (double s = 0; s < 10; s += 0.01)
+    {
+        Real w1 = Wf(s, 0.0);
+        Real w2 = Wf(-s, 0.0);
+        // Since f is an even function, we get w1 = w2:
+        CHECK_ULP_CLOSE(w1, w2, 12);
+    }
+
+    // The wavelet transform with respect to Daubechies wavelets 
+    for (double s = -10; s < 10; s += 0.1)
+    {
+        for (double t = -10; t < 10; t+= 0.1)
+        {
+            Real w = Wf(s, t);
+            // Integral inequality:
+            Real r1 = sqrt(abs(s))*fmax*psil1;
+            if(abs(w) > r1)
+            {
+                std::cerr << " Integral inequality | int fg| <= ||f||_infty ||psi||_1 is violated.\n";
+            }
+            if (s != 0)
+            {
+                Real r2 = fl1*psi_sup_norm/sqrt(abs(s));
+                if(abs(w) > r2)
+                {
+                    std::cerr << " Integral inequality | int fg| <= ||f||_1 ||psi||_infty/sqrt(|s|) is violated.\n";
+                    std::cerr << " Violation: " << abs(w) << " !<= " << r2 << "\n";
+                }
+                Real r3 = fmax*psil1/sqrt(abs(s));
+                if(abs(w) > r3)
+                {
+                    std::cerr << " Integral inequality | int fg| <= ||f||_infty ||psi||_1/sqrt(|s|) is violated.\n";
+                    std::cerr << " Computed = " << abs(w) << ", expected " << r3 << "\n";
+                }
+            }
+            if (abs(w) > fl2)
+            {
+                std::cerr << "  Integral inequality |f psi_s,t| <= ||f||_2 ||psi||2 violated.\n";
+            }
+            Real r4 = sqrt(abs(s))*fl1*psi_sup_norm;
+            if (abs(w) > r4)
+            {
+                std::cerr << "  Integral inequality |W[f](s,t)| <= sqrt(|s|)||f||_1 ||psi||_infty is violated.\n";
+            }
+            Real r5 = sqrt(abs(s))*fmax*psil1;
+            if (abs(w) > r5)
+            {
+                std::cerr << "  Integral inequality |W[f](s,t)| <= sqrt(|s|)||f||_infty ||psi||_1 is violated.\n";
+            }
+
+        }
+    }
+}
+
+int main()
+{
+    boost::hana::for_each(std::make_index_sequence<17>(), [&](auto i) {
+        test_wavelet_transform<double, i+3>();
+    });
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/whittaker_shannon_test.cpp b/src/boost/libs/math/test/whittaker_shannon_test.cpp
new file mode 100644
index 000000000..3afebb51a
--- /dev/null
+++ b/src/boost/libs/math/test/whittaker_shannon_test.cpp
@@ -0,0 +1,142 @@
+/*
+ * Copyright Nick Thompson, 2019
+ * Use, modification and distribution are subject to the
+ * Boost Software License, Version 1.0. (See accompanying file
+ * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include "math_unit_test.hpp"
+#include <numeric>
+#include <utility>
+#include <random>
+#include <boost/core/demangle.hpp>
+#include <boost/math/interpolators/whittaker_shannon.hpp>
+#ifdef BOOST_HAS_FLOAT128
+#include <boost/multiprecision/float128.hpp>
+using boost::multiprecision::float128;
+#endif
+
+using boost::math::interpolators::whittaker_shannon;
+
+template<class Real>
+void test_trivial()
+{
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    std::vector<Real> v{1.5};
+    std::vector<Real> v_copy = v;
+    auto ws = whittaker_shannon<decltype(v)>(std::move(v), t0, h);
+
+
+    Real expected = 0;
+    if(!CHECK_MOLLIFIED_CLOSE(expected, ws.prime(0), 10*std::numeric_limits<Real>::epsilon())) {
+        std::cerr << "  Problem occurred at abscissa " << 0 << "\n";
+    }
+
+    expected = -v_copy[0]/h;
+    if(!CHECK_MOLLIFIED_CLOSE(expected, ws.prime(h), 10*std::numeric_limits<Real>::epsilon())) {
+        std::cerr << "  Problem occurred at abscissa " << 0 << "\n";
+    }
+}
+
+template<class Real>
+void test_knots()
+{
+    Real t0 = 0;
+    Real h = Real(1)/Real(16);
+    size_t n = 512;
+    std::vector<Real> v(n);
+    std::mt19937 gen(323723);
+    std::uniform_real_distribution<Real> dis(1.0, 2.0);
+
+    for(size_t i = 0;  i < n; ++i) {
+      v[i] = static_cast<Real>(dis(gen));
+    }
+    auto ws = whittaker_shannon<decltype(v)>(std::move(v), t0, h);
+
+    size_t i = 0;
+    while (i < n) {
+      Real t = t0 + i*h;
+      Real expected = ws[i];
+      Real computed = ws(t);
+      CHECK_ULP_CLOSE(expected, computed, 16);
+      ++i;
+    }
+}
+
+template<class Real>
+void test_bump()
+{
+    using std::exp;
+    using std::abs;
+    using std::sqrt;
+    auto bump = [](Real x) { if (abs(x) >= 1) { return Real(0); } return exp(-Real(1)/(Real(1)-x*x)); };
+
+    auto bump_prime = [&bump](Real x) { Real z = 1-x*x; return -2*x*bump(x)/(z*z); };
+
+    Real t0 = -1;
+    size_t n = 2049;
+    Real h = Real(2)/Real(n-1);
+
+    std::vector<Real> v(n);
+    for(size_t i = 0; i < n; ++i) {
+        Real t = t0 + i*h;
+        v[i] = bump(t);
+    }
+
+
+    std::vector<Real> v_copy = v;
+    auto ws = whittaker_shannon<decltype(v)>(std::move(v), t0, h);
+
+    // Test the knots:
+    for(size_t i = v_copy.size()/4; i < 3*v_copy.size()/4; ++i) {
+        Real t = t0 + i*h;
+        Real expected = v_copy[i];
+        Real computed = ws(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 10*std::numeric_limits<Real>::epsilon())) {
+            std::cerr << "  Problem occurred at abscissa " << t << "\n";
+        }
+
+        Real expected_prime = bump_prime(t);
+        Real computed_prime = ws.prime(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected_prime, computed_prime, 1000*std::numeric_limits<Real>::epsilon())) {
+            std::cerr << "  Problem occurred at abscissa " << t << "\n";
+        }
+
+    }
+
+    std::mt19937 gen(323723);
+    std::uniform_real_distribution<long double> dis(-0.85, 0.85);
+
+    size_t i = 0;
+    while (i++ < 1000)
+    {
+        Real t = static_cast<Real>(dis(gen));
+        Real expected = bump(t);
+        Real computed = ws(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected, computed, 10*std::numeric_limits<Real>::epsilon())) {
+            std::cerr << "  Problem occurred at abscissa " << t << "\n";
+        }
+
+        Real expected_prime = bump_prime(t);
+        Real computed_prime = ws.prime(t);
+        if(!CHECK_MOLLIFIED_CLOSE(expected_prime, computed_prime, sqrt(std::numeric_limits<Real>::epsilon()))) {
+            std::cerr << "  Problem occurred at abscissa " << t << "\n";
+        }
+    }
+}
+
+
+int main()
+{
+    test_knots<float>();
+    test_knots<double>();
+    test_knots<long double>();
+
+    test_bump<double>();
+    test_bump<long double>();
+
+    test_trivial<float>();
+    test_trivial<double>();
+    return boost::math::test::report_errors();
+}
diff --git a/src/boost/libs/math/test/zeta_1_below_data.ipp b/src/boost/libs/math/test/zeta_1_below_data.ipp
new file mode 100644
index 000000000..b6041c1d7
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_1_below_data.ipp
@@ -0,0 +1,31 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 24> zeta_1_below_data = {{
+      {{ SC_(0.02141654491424560546875), SC_(-0.5201506602793944998316548018699690797681) }}, 
+      {{ SC_(0.50472259521484375), SC_(-1.479059796502255763615575236860218694317) }}, 
+      {{ SC_(0.753675937652587890625), SC_(-3.500701844470537839375475836745309608254) }}, 
+      {{ SC_(0.892135083675384521484375), SC_(-8.701549551111914711016864206105707387913) }}, 
+      {{ SC_(0.963824570178985595703125), SC_(-27.06849649507583530629721672895651369373) }}, 
+      {{ SC_(0.969254791736602783203125), SC_(-31.95042124075855399021415469463730656365) }}, 
+      {{ SC_(0.98464930057525634765625), SC_(-64.56751477719026237096105864334609394117) }}, 
+      {{ SC_(0.992201328277587890625), SC_(-127.6503167276133070149448420866102648888) }}, 
+      {{ SC_(0.99617671966552734375), SC_(-260.9785629260130820484322508586172549118) }}, 
+      {{ SC_(0.998053848743438720703125), SC_(-513.2576018780070294737373079904789166413) }}, 
+      {{ SC_(0.99924468994140625), SC_(-1323.382435295998941597319533493165885945) }}, 
+      {{ SC_(0.9997098445892333984375), SC_(-3445.851729045998047072816129417437104917) }}, 
+      {{ SC_(0.99984395503997802734375), SC_(-6407.832268577823258975422770409768729774) }}, 
+      {{ SC_(0.99990558624267578125), SC_(-10591.09955888672689821582177914203224971) }}, 
+      {{ SC_(0.99996650218963623046875), SC_(-29852.12029567107244043543924323873276124) }}, 
+      {{ SC_(0.999980032444000244140625), SC_(-50080.66457683383099069439395050656417597) }}, 
+      {{ SC_(0.999987542629241943359375), SC_(-80273.18355079243243774478653269383556504) }}, 
+      {{ SC_(0.99999535083770751953125), SC_(-215091.9356051864517678048611890100788117) }}, 
+      {{ SC_(0.999996364116668701171875), SC_(-275035.7506534523074664329441741330074557) }}, 
+      {{ SC_(0.9999980926513671875), SC_(-524287.4227844739836880964361309795525948) }}, 
+      {{ SC_(0.999999463558197021484375), SC_(-1864134.533895485271043081470070250144498) }}, 
+      {{ SC_(0.999999582767486572265625), SC_(-2396744.56564150833674906851990450393092) }}, 
+      {{ SC_(0.9999997615814208984375), SC_(-4194303.422784352459117831107301957279448) }}, 
+      {{ SC_(0.999999940395355224609375), SC_(-16777215.42278433943862976068131370725545) }}
+   }};
diff --git a/src/boost/libs/math/test/zeta_1_up_data.ipp b/src/boost/libs/math/test/zeta_1_up_data.ipp
new file mode 100644
index 000000000..f4bd3a267
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_1_up_data.ipp
@@ -0,0 +1,32 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 24> zeta_1_up_data = {{
+      {{ SC_(1.00000011920928955078125), SC_(8388608.57721567358185799990090564625463) }}, 
+      {{ SC_(1.0000002384185791015625), SC_(4194304.577215682262183001486952251646755) }}, 
+      {{ SC_(1.000000476837158203125), SC_(2097152.577215699622832591533990692770612) }}, 
+      {{ SC_(1.00000059604644775390625), SC_(1677722.177215708303157179994975569843472) }}, 
+      {{ SC_(1.0000019073486328125), SC_(524288.577215803786718564313226471202153) }}, 
+      {{ SC_(1.00000369548797607421875), SC_(270600.8352804501205804024002567735033821) }}, 
+      {{ SC_(1.00000464916229248046875), SC_(215093.0900365162546240716837932060406643) }}, 
+      {{ SC_(1.00001239776611328125), SC_(80660.26952425996230208837588346956460766) }}, 
+      {{ SC_(1.00001990795135498046875), SC_(50231.76284585702889240460092067814586596) }}, 
+      {{ SC_(1.00003349781036376953125), SC_(29853.27472700086463256814366228500539722) }}, 
+      {{ SC_(1.00009441375732421875), SC_(10592.253990216443584450690925565465553) }}, 
+      {{ SC_(1.00015604496002197265625), SC_(6408.986699907390364066670889074476433249) }}, 
+      {{ SC_(1.0002901554107666015625), SC_(3447.006160374985279544507526117209600704) }}, 
+      {{ SC_(1.00075531005859375), SC_(1324.536866620273720254607350418328040857) }}, 
+      {{ SC_(1.0019462108612060546875), SC_(514.3962964770573413079586126451916678814) }}, 
+      {{ SC_(1.00382328033447265625), SC_(262.1329941141675715333591367272474762968) }}, 
+      {{ SC_(1.007798671722412109375), SC_(128.8047474680561710562008547158197319238) }}, 
+      {{ SC_(1.01535069942474365234375), SC_(65.72194382352840743913691516911618095535) }}, 
+      {{ SC_(1.0307452678680419921875), SC_(33.1047803593638190816111616860939640546) }}, 
+      {{ SC_(1.03617537021636962890625), SC_(28.22296068581747567698336482012316769919) }}, 
+      {{ SC_(1.10786497592926025390625), SC_(9.855863042654116305734265296224764929693) }}, 
+      {{ SC_(1.246324062347412109375), SC_(4.654545919478261756646025472315043204481) }}, 
+      {{ SC_(1.49527740478515625), SC_(2.631125733364186076058384433696635480314) }}, 
+      {{ SC_(1.97858345508575439453125), SC_(1.665479359458163559316085149303802250507) }}
+   }};
+
diff --git a/src/boost/libs/math/test/zeta_data.ipp b/src/boost/libs/math/test/zeta_data.ipp
new file mode 100644
index 000000000..921a7c865
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_data.ipp
@@ -0,0 +1,208 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> zeta_data = {{
+      {{ SC_(1.16628754138946533203125), SC_(6.602868183069916948720755731837247651904) }}, 
+      {{ SC_(1.28222560882568359375), SC_(4.140637712279411074557164685415721499333) }}, 
+      {{ SC_(1.7022221088409423828125), SC_(2.049914055577335303673424130546639695977) }}, 
+      {{ SC_(1.79880845546722412109375), SC_(1.884017213259316830925461356827163589705) }}, 
+      {{ SC_(2.048659801483154296875), SC_(1.601558368429615698519833097274473510457) }}, 
+      {{ SC_(2.8781378269195556640625), SC_(1.228101328930692778618914405979886894909) }}, 
+      {{ SC_(3.032318592071533203125), SC_(1.195776877916973414012665761751705560617) }}, 
+      {{ SC_(3.1069891452789306640625), SC_(1.182159242558432231709092493922425008201) }}, 
+      {{ SC_(3.1500339508056640625), SC_(1.174833816740130223224455066511517932084) }}, 
+      {{ SC_(3.724112033843994140625), SC_(1.104091496679991538723159196605198807097) }}, 
+      {{ SC_(4.021769046783447265625), SC_(1.080838392415394466528941224431751600289) }}, 
+      {{ SC_(4.18305683135986328125), SC_(1.070728699189787267711417808282208201243) }}, 
+      {{ SC_(4.988127231597900390625), SC_(1.037268683773212337925891820825986369163) }}, 
+      {{ SC_(5.475403308868408203125), SC_(1.025677237452222708699509051024184979758) }}, 
+      {{ SC_(6.73077487945556640625), SC_(1.010147799135311596739412446000395677634) }}, 
+      {{ SC_(6.75488376617431640625), SC_(1.009971613405573851873574290566390329028) }}, 
+      {{ SC_(7.481843471527099609375), SC_(1.005903033995481747047683253211887943379) }}, 
+      {{ SC_(7.635406494140625), SC_(1.005288494073193869275365293603878222362) }}, 
+      {{ SC_(8.020862579345703125), SC_(1.004017268583341130595381689022448999632) }}, 
+      {{ SC_(8.38578319549560546875), SC_(1.003100201571479771794633384423398597856) }}, 
+      {{ SC_(8.42790126800537109375), SC_(1.003009041836055382568010141093226826892) }}, 
+      {{ SC_(8.492221832275390625), SC_(1.002875040229932893183945988160370427031) }}, 
+      {{ SC_(8.66446590423583984375), SC_(1.002545196845709311376898921088902444564) }}, 
+      {{ SC_(8.9931430816650390625), SC_(1.002018125856127423319731400168443258982) }}, 
+      {{ SC_(9.1788425445556640625), SC_(1.001770614157242715970257755765969939378) }}, 
+      {{ SC_(9.3712940216064453125), SC_(1.001546356501243682890096399666391078865) }}, 
+      {{ SC_(9.79772472381591796875), SC_(1.001146130957712750505516168299351687689) }}, 
+      {{ SC_(9.808345794677734375), SC_(1.00113762301831987584969089187780050217) }}, 
+      {{ SC_(10.11186695098876953125), SC_(1.000919597225029357674089436218492816592) }}, 
+      {{ SC_(10.29917240142822265625), SC_(1.000806567139600490049263928993429525886) }}, 
+      {{ SC_(10.325397491455078125), SC_(1.000791898339491638031859012162073442552) }}, 
+      {{ SC_(10.59409236907958984375), SC_(1.000656217007150362893379421381526735049) }}, 
+      {{ SC_(11.10001468658447265625), SC_(1.000460863347090913162269206213828518989) }}, 
+      {{ SC_(11.258045196533203125), SC_(1.000412744570371150451037951828092883018) }}, 
+      {{ SC_(12.02548313140869140625), SC_(1.000241757815894734629418410369301746079) }}, 
+      {{ SC_(12.114536285400390625), SC_(1.000227221507799340331471780559564457085) }}, 
+      {{ SC_(12.59912014007568359375), SC_(1.000162173028028771481952241164711193704) }}, 
+      {{ SC_(13.27601528167724609375), SC_(1.000101287979535386768777024448093303828) }}, 
+      {{ SC_(13.40233516693115234375), SC_(1.000092774524593217714357153624534009066) }}, 
+      {{ SC_(13.50353527069091796875), SC_(1.000086474027947163401202419199584993912) }}, 
+      {{ SC_(13.81703281402587890625), SC_(1.00006954876715640831942977005349491939) }}, 
+      {{ SC_(14.04100894927978515625), SC_(1.000059528194484375589465960959559392027) }}, 
+      {{ SC_(14.2049045562744140625), SC_(1.000053123725822614470754551602877776071) }}, 
+      {{ SC_(14.57920742034912109375), SC_(1.000040965134201953746630782215943808799) }}, 
+      {{ SC_(15.36797332763671875), SC_(1.000023694259291145619969142932513875694) }}, 
+      {{ SC_(15.8139476776123046875), SC_(1.000017387917474363833490985179130947483) }}, 
+      {{ SC_(16.0026493072509765625), SC_(1.000015254196094267783311053302032549741) }}, 
+      {{ SC_(16.0506114959716796875), SC_(1.000014754970384001823203354717544204648) }}, 
+      {{ SC_(16.1929874420166015625), SC_(1.000013367248015505858617397050136565041) }}, 
+      {{ SC_(17.285480499267578125), SC_(1.000006265375288782355276787853647834027) }}, 
+      {{ SC_(17.3384552001953125), SC_(1.000006039370585766187763904743838901712) }}, 
+      {{ SC_(17.431396484375), SC_(1.000005662382433471779572282335717605371) }}, 
+      {{ SC_(17.864501953125), SC_(1.00000419335137039446528405523273417847) }}, 
+      {{ SC_(18.5247364044189453125), SC_(1.000002653000473253577578493409620982871) }}, 
+      {{ SC_(18.69007110595703125), SC_(1.000002365653327425220021887287461178979) }}, 
+      {{ SC_(18.81287384033203125), SC_(1.000002172565731416793616844762261244142) }}, 
+      {{ SC_(19.1818561553955078125), SC_(1.000001682165061320587705723061871112821) }}, 
+      {{ SC_(19.67647552490234375), SC_(1.00000119382334998635578076483569134487) }}, 
+      {{ SC_(19.70886993408203125), SC_(1.000001167310591227212167384387209403708) }}, 
+      {{ SC_(20.61444854736328125), SC_(1.000000623066938898373480079125184673916) }}, 
+      {{ SC_(20.89023590087890625), SC_(1.000000514640103638265544723138844382034) }}, 
+      {{ SC_(21.0827579498291015625), SC_(1.000000450341377189234015911832375901699) }}, 
+      {{ SC_(21.6490421295166015625), SC_(1.000000304127710718113360167907484415053) }}, 
+      {{ SC_(21.7479114532470703125), SC_(1.000000283981940559836806790957987649415) }}, 
+      {{ SC_(21.8129825592041015625), SC_(1.000000271456777007108293719830577426366) }}, 
+      {{ SC_(22.024364471435546875), SC_(1.000000234457016042858052978953659230864) }}, 
+      {{ SC_(22.31634521484375), SC_(1.000000191496938987028342073327362804024) }}, 
+      {{ SC_(23.4463043212890625), SC_(1.000000087496653103497740447812661569997) }}, 
+      {{ SC_(23.5119476318359375), SC_(1.000000083604563844903851348021422245475) }}, 
+      {{ SC_(23.8504581451416015625), SC_(1.000000066118672757144002036583533060251) }}, 
+      {{ SC_(23.9256191253662109375), SC_(1.000000062762118335210507369548667805974) }}, 
+      {{ SC_(24.1413936614990234375), SC_(1.000000054043162442589559272614572137384) }}, 
+      {{ SC_(24.1469058990478515625), SC_(1.000000053837061982953069368273926175689) }}, 
+      {{ SC_(24.2995853424072265625), SC_(1.000000048430482721838693416022261315822) }}, 
+      {{ SC_(24.52557373046875), SC_(1.00000004140831046897333530316265610171) }}, 
+      {{ SC_(24.8483028411865234375), SC_(1.000000033108065641575998984551968709104) }}, 
+      {{ SC_(25.115139007568359375), SC_(1.000000027517326675188465672935455696634) }}, 
+      {{ SC_(25.347324371337890625), SC_(1.000000023426640017082892404381467024384) }}, 
+      {{ SC_(25.883914947509765625), SC_(1.000000016150174569147643163428466835474) }}, 
+      {{ SC_(25.903171539306640625), SC_(1.000000015936036497475570766824085170722) }}, 
+      {{ SC_(25.9667415618896484375), SC_(1.000000015249075980692704336912033740583) }}, 
+      {{ SC_(26.88591766357421875), SC_(1.000000008063810840808460735890647313959) }}, 
+      {{ SC_(27.289585113525390625), SC_(1.000000006095693351337655085514196913602) }}, 
+      {{ SC_(27.9059352874755859375), SC_(1.000000003976323567324742280069738235563) }}, 
+      {{ SC_(28.0213603973388671875), SC_(1.000000003670583049284047356311447119736) }}, 
+      {{ SC_(28.6940479278564453125), SC_(1.000000002302686016920949834610470007565) }}, 
+      {{ SC_(28.924041748046875), SC_(1.000000001963357304099298248229398455341) }}, 
+      {{ SC_(29.0107631683349609375), SC_(1.000000001848815070266702493862791862422) }}, 
+      {{ SC_(29.6371631622314453125), SC_(1.000000001197643401744885528390587608634) }}, 
+      {{ SC_(29.7665653228759765625), SC_(1.000000001094897489879537307636075154625) }}, 
+      {{ SC_(29.896099090576171875), SC_(1.000000001000874865523017090100762703195) }}, 
+      {{ SC_(29.9447536468505859375), SC_(1.000000000967683322176361378042505764603) }}, 
+      {{ SC_(30.40348052978515625), SC_(1.000000000704112916637256444040895840462) }}, 
+      {{ SC_(30.716098785400390625), SC_(1.000000000566936750566018696285006521506) }}, 
+      {{ SC_(30.851467132568359375), SC_(1.000000000516160286455123973861824307492) }}, 
+      {{ SC_(32.114917755126953125), SC_(1.000000000215004429998345753311603463246) }}, 
+      {{ SC_(32.31705474853515625), SC_(1.000000000186895151300205581521237835124) }}, 
+      {{ SC_(33.2660064697265625), SC_(1.000000000096813254374934769090357620442) }}, 
+      {{ SC_(33.285717010498046875), SC_(1.000000000095499555541792141940005023127) }}, 
+      {{ SC_(33.286014556884765625), SC_(1.000000000095479861400139003020181708444) }}, 
+      {{ SC_(33.43369293212890625), SC_(1.000000000086189849924727332774207599423) }}, 
+      {{ SC_(34.13188934326171875), SC_(1.000000000053122428800090015460135314565) }}, 
+      {{ SC_(34.501476287841796875), SC_(1.000000000041116970445658244297262938037) }}, 
+      {{ SC_(34.5605926513671875), SC_(1.000000000039466198914643412779159907251) }}, 
+      {{ SC_(34.85152435302734375), SC_(1.000000000032258642822020209836223179965) }}, 
+      {{ SC_(35.2764434814453125), SC_(1.000000000024028830747846719836544655561) }}, 
+      {{ SC_(35.530582427978515625), SC_(1.000000000020147871220182569297544208725) }}, 
+      {{ SC_(35.530796051025390625), SC_(1.000000000020144888100208513063984898063) }}, 
+      {{ SC_(35.9766082763671875), SC_(1.000000000014789788630980767807649535379) }}, 
+      {{ SC_(36.075710296630859375), SC_(1.000000000013807952318212484703393304569) }}, 
+      {{ SC_(37.346637725830078125), SC_(1.000000000005721921857809586500408112553) }}, 
+      {{ SC_(38.30919647216796875), SC_(1.000000000002936181040773097124904210497) }}, 
+      {{ SC_(38.746036529541015625), SC_(1.00000000000216910640536046429265717688) }}, 
+      {{ SC_(38.9936981201171875), SC_(1.000000000001826952613666734849972430403) }}, 
+      {{ SC_(39.13246917724609375), SC_(1.000000000001659407425313111065810951635) }}, 
+      {{ SC_(39.650783538818359375), SC_(1.000000000001158576855480162680056752427) }}, 
+      {{ SC_(39.67319488525390625), SC_(1.000000000001140718173333054850436397748) }}, 
+      {{ SC_(39.688701629638671875), SC_(1.000000000001128522871078350064987157044) }}, 
+      {{ SC_(40.1527252197265625), SC_(1.00000000000081813568920259864182340915) }}, 
+      {{ SC_(41.04537200927734375), SC_(1.000000000000440668358431418275080044096) }}, 
+      {{ SC_(41.102458953857421875), SC_(1.000000000000423571747277636883518004963) }}, 
+      {{ SC_(41.10936737060546875), SC_(1.00000000000042154830144392988490289401) }}, 
+      {{ SC_(41.2002105712890625), SC_(1.000000000000395822807194682529407123307) }}, 
+      {{ SC_(41.9948883056640625), SC_(1.000000000000228180734060750744420949622) }}, 
+      {{ SC_(42.01873779296875), SC_(1.000000000000224439639108525255752196646) }}, 
+      {{ SC_(42.245525360107421875), SC_(1.000000000000191791651936161940112696305) }}, 
+      {{ SC_(42.640682220458984375), SC_(1.000000000000145839655420702994396584213) }}, 
+      {{ SC_(42.656719207763671875), SC_(1.000000000000144227479936645019793391633) }}, 
+      {{ SC_(42.8525238037109375), SC_(1.000000000000125922969766185468474101667) }}, 
+      {{ SC_(42.93152618408203125), SC_(1.000000000000119212795161526838438039263) }}, 
+      {{ SC_(43.824497222900390625), SC_(1.000000000000064196566283314196661109382) }}, 
+      {{ SC_(43.89032745361328125), SC_(1.000000000000061333101268165345810372718) }}, 
+      {{ SC_(44.2351226806640625), SC_(1.00000000000004829489412268436483221931) }}, 
+      {{ SC_(44.69818878173828125), SC_(1.000000000000035035186258816984623517723) }}, 
+      {{ SC_(44.844814300537109375), SC_(1.000000000000031649419666232107485326247) }}, 
+      {{ SC_(45.324756622314453125), SC_(1.000000000000022692832892549255237158092) }}, 
+      {{ SC_(45.4700164794921875), SC_(1.000000000000020519233831913348485253367) }}, 
+      {{ SC_(45.52651214599609375), SC_(1.000000000000019731234145578672796054892) }}, 
+      {{ SC_(45.67481231689453125), SC_(1.000000000000017803748480318501874295268) }}, 
+      {{ SC_(45.706668853759765625), SC_(1.000000000000017414927749921329025278045) }}, 
+      {{ SC_(45.942142486572265625), SC_(1.000000000000014792345774484033646200826) }}, 
+      {{ SC_(46.061252593994140625), SC_(1.000000000000013620132568841259892936442) }}, 
+      {{ SC_(46.165493011474609375), SC_(1.000000000000012670735995557404974141305) }}, 
+      {{ SC_(46.66110992431640625), SC_(1.000000000000008986824993086497939810961) }}, 
+      {{ SC_(46.95496368408203125), SC_(1.000000000000007330734455050719634274445) }}, 
+      {{ SC_(46.970867156982421875), SC_(1.000000000000007250368259197024518158727) }}, 
+      {{ SC_(47.740230560302734375), SC_(1.000000000000004253619155993815373574244) }}, 
+      {{ SC_(47.82225799560546875), SC_(1.00000000000000401851769095578631160734) }}, 
+      {{ SC_(47.844524383544921875), SC_(1.000000000000003956972517068642986534164) }}, 
+      {{ SC_(47.916797637939453125), SC_(1.000000000000003763627354737768001799664) }}, 
+      {{ SC_(48.03951263427734375), SC_(1.000000000000003456732091224533384587416) }}, 
+      {{ SC_(48.077789306640625), SC_(1.000000000000003366226193065923102690805) }}, 
+      {{ SC_(48.088245391845703125), SC_(1.000000000000003341917308946400199448992) }}, 
+      {{ SC_(48.21654510498046875), SC_(1.000000000000003057550491069862425535113) }}, 
+      {{ SC_(48.644329071044921875), SC_(1.000000000000002272991605673625823218911) }}, 
+      {{ SC_(48.682353973388671875), SC_(1.000000000000002213865312361618938196866) }}, 
+      {{ SC_(48.7743377685546875), SC_(1.000000000000002077118692813712217229131) }}, 
+      {{ SC_(49.042804718017578125), SC_(1.000000000000001724426584048478072980917) }}, 
+      {{ SC_(49.068695068359375), SC_(1.00000000000000169375635354541860333178) }}, 
+      {{ SC_(49.429607391357421875), SC_(1.000000000000001318880667089529421391478) }}, 
+      {{ SC_(49.453510284423828125), SC_(1.000000000000001297209182880660183342645) }}, 
+      {{ SC_(49.4922943115234375), SC_(1.000000000000001262800830493712288542346) }}, 
+      {{ SC_(49.584011077880859375), SC_(1.000000000000001185019129246615676129004) }}, 
+      {{ SC_(50.018886566162109375), SC_(1.000000000000000876626902724624554021734) }}, 
+      {{ SC_(50.265506744384765625), SC_(1.000000000000000738881381594389232226354) }}, 
+      {{ SC_(50.60231781005859375), SC_(1.000000000000000585038557479300395348451) }}, 
+      {{ SC_(51.059597015380859375), SC_(1.000000000000000426117855101476521328968) }}, 
+      {{ SC_(51.098628997802734375), SC_(1.000000000000000414743830855801205190555) }}, 
+      {{ SC_(52.473300933837890625), SC_(1.000000000000000159941972488386163451755) }}, 
+      {{ SC_(52.728687286376953125), SC_(1.000000000000000133993427096920945462604) }}, 
+      {{ SC_(52.8274078369140625), SC_(1.00000000000000012513121114750147039425) }}, 
+      {{ SC_(53.563289642333984375), SC_(1.000000000000000075135148894081185552722) }}, 
+      {{ SC_(54.441722869873046875), SC_(1.000000000000000040870354119536041226567) }}, 
+      {{ SC_(54.534519195556640625), SC_(1.000000000000000038324272820380003916252) }}, 
+      {{ SC_(54.8891754150390625), SC_(1.00000000000000002997172663898867687923) }}, 
+      {{ SC_(55.0283966064453125), SC_(1.000000000000000027214603309398090046137) }}, 
+      {{ SC_(55.1144256591796875), SC_(1.000000000000000025639212561447923551389) }}, 
+      {{ SC_(55.33161163330078125), SC_(1.000000000000000022055920618207215687506) }}, 
+      {{ SC_(55.826557159423828125), SC_(1.000000000000000015650626977085832472044) }}, 
+      {{ SC_(56.10559844970703125), SC_(1.000000000000000012898284202740849648306) }}, 
+      {{ SC_(56.106632232666015625), SC_(1.000000000000000012889045070538182553024) }}, 
+      {{ SC_(56.464366912841796875), SC_(1.000000000000000010058468799404521129717) }}, 
+      {{ SC_(57.06310272216796875), SC_(1.000000000000000006641932153342522535343) }}, 
+      {{ SC_(57.346035003662109375), SC_(1.000000000000000005459128681570429564283) }}, 
+      {{ SC_(57.472850799560546875), SC_(1.000000000000000004999746361816983875868) }}, 
+      {{ SC_(57.4929046630859375), SC_(1.000000000000000004930729282248733593481) }}, 
+      {{ SC_(57.598194122314453125), SC_(1.000000000000000004583696701999359539209) }}, 
+      {{ SC_(57.61005401611328125), SC_(1.000000000000000004546170184327776041529) }}, 
+      {{ SC_(57.6248931884765625), SC_(1.00000000000000000449964916454958377241) }}, 
+      {{ SC_(57.9284210205078125), SC_(1.000000000000000003645924503223314003083) }}, 
+      {{ SC_(57.933013916015625), SC_(1.000000000000000003634335967038469182822) }}, 
+      {{ SC_(58.09400177001953125), SC_(1.000000000000000003250595270157055505909) }}, 
+      {{ SC_(58.16320037841796875), SC_(1.000000000000000003098361177564293540649) }}, 
+      {{ SC_(58.26497650146484375), SC_(1.000000000000000002887316391786182139852) }}, 
+      {{ SC_(58.885471343994140625), SC_(1.00000000000000000187804855653649070089) }}, 
+      {{ SC_(59.2601165771484375), SC_(1.000000000000000001448529565053139975957) }}, 
+      {{ SC_(59.322772979736328125), SC_(1.000000000000000001386966294498092563052) }}, 
+      {{ SC_(59.579998016357421875), SC_(1.000000000000000001160468764851974345628) }}, 
+      {{ SC_(59.650043487548828125), SC_(1.000000000000000001105471797878708756365) }}, 
+      {{ SC_(59.791217803955078125), SC_(1.000000000000000001002420555691430478745) }}
+   }};
+
diff --git a/src/boost/libs/math/test/zeta_neg_data.ipp b/src/boost/libs/math/test/zeta_neg_data.ipp
new file mode 100644
index 000000000..94a8767d8
--- /dev/null
+++ b/src/boost/libs/math/test/zeta_neg_data.ipp
@@ -0,0 +1,207 @@
+//  Copyright John Maddock 2008.
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+   static const boost::array<boost::array<typename table_type<T>::type, 2>, 200> zeta_neg_data = {{
+      {{ SC_(-29.912628173828125), SC_(-11411595.03734503626230312380285630491992) }}, 
+      {{ SC_(-29.851711273193359375), SC_(-17491128.83255653477666248263741824395945) }}, 
+      {{ SC_(-29.6310367584228515625), SC_(-29338557.80907609522626540806232745245856) }}, 
+      {{ SC_(-29.580287933349609375), SC_(-30306395.15877987544763078130380383514834) }}, 
+      {{ SC_(-29.449008941650390625), SC_(-30679896.21366776808601886434072241922978) }}, 
+      {{ SC_(-29.0131816864013671875), SC_(-20461364.43945172423472081418662644617911) }}, 
+      {{ SC_(-28.932170867919921875), SC_(-17954718.78416694210282615237096201590328) }}, 
+      {{ SC_(-28.8929386138916015625), SC_(-16756279.89114728919232419374363852845816) }}, 
+      {{ SC_(-28.8703212738037109375), SC_(-16073970.93038052754961877241558169058995) }}, 
+      {{ SC_(-28.56868743896484375), SC_(-8043912.797659222132349302164106524597545) }}, 
+      {{ SC_(-28.4122905731201171875), SC_(-4903635.075080145389499851622270349855906) }}, 
+      {{ SC_(-28.3275470733642578125), SC_(-3515000.607629881325886083145603311677359) }}, 
+      {{ SC_(-27.9045429229736328125), SC_(561872.9101127770815302245082844482980385) }}, 
+      {{ SC_(-27.648517608642578125), SC_(1342198.470655673842508718473103589634627) }}, 
+      {{ SC_(-26.98891448974609375), SC_(958967.3644061210965186556335814069245902) }}, 
+      {{ SC_(-26.9762477874755859375), SC_(940695.8288692367233401584802662854004146) }}, 
+      {{ SC_(-26.5942859649658203125), SC_(431764.3905797650182797008420936167894022) }}, 
+      {{ SC_(-26.513599395751953125), SC_(344789.2311643767144853652064583290283269) }}, 
+      {{ SC_(-26.3110713958740234375), SC_(166950.9217712466990407178286461519015362) }}, 
+      {{ SC_(-26.119335174560546875), SC_(50216.50838488570401977081704289833643882) }}, 
+      {{ SC_(-26.0972042083740234375), SC_(39696.07667360741023132228278408445173572) }}, 
+      {{ SC_(-26.06340789794921875), SC_(24717.59361206202031383049563915428563206) }}, 
+      {{ SC_(-25.97290802001953125), SC_(-9283.102630861689329279837111548500337322) }}, 
+      {{ SC_(-25.800212860107421875), SC_(-52573.91752584962621396048551282302169873) }}, 
+      {{ SC_(-25.7026424407958984375), SC_(-66701.3515681932512045823224337761059857) }}, 
+      {{ SC_(-25.60152435302734375), SC_(-75127.68961892726687631489083928203368082) }}, 
+      {{ SC_(-25.3774662017822265625), SC_(-77369.49762740646964459716518117457943474) }}, 
+      {{ SC_(-25.3718852996826171875), SC_(-77211.18174801304523919999376682789300922) }}, 
+      {{ SC_(-25.2124080657958984375), SC_(-69818.92283651854238898648172800794135819) }}, 
+      {{ SC_(-25.113994598388671875), SC_(-63308.57776529969909975415070544651202913) }}, 
+      {{ SC_(-25.1002140045166015625), SC_(-62323.27853183353019086156608655701085742) }}, 
+      {{ SC_(-24.9590358734130859375), SC_(-51664.42535000520168097529147316913191884) }}, 
+      {{ SC_(-24.6932125091552734375), SC_(-31670.01281816867446841516400384736191327) }}, 
+      {{ SC_(-24.610179901123046875), SC_(-26064.93805025958872153777775894298753194) }}, 
+      {{ SC_(-24.2069492340087890625), SC_(-5837.615323910213540582720536747728255397) }}, 
+      {{ SC_(-24.1601581573486328125), SC_(-4267.760146707777974801177862963289435484) }}, 
+      {{ SC_(-23.905548095703125), SC_(1791.561198109913837096109939891110951525) }}, 
+      {{ SC_(-23.5498905181884765625), SC_(4871.416521314878510824761013567411455181) }}, 
+      {{ SC_(-23.4835186004638671875), SC_(4975.227974192317781212488271510561925245) }}, 
+      {{ SC_(-23.4303455352783203125), SC_(4984.336960568300045015617894873870024567) }}, 
+      {{ SC_(-23.2656269073486328125), SC_(4689.056669026157611801515942421136275408) }}, 
+      {{ SC_(-23.147945404052734375), SC_(4269.09697487404379106734373164284895236) }}, 
+      {{ SC_(-23.0618305206298828125), SC_(3895.967523742781467049009764795714670535) }}, 
+      {{ SC_(-22.865161895751953125), SC_(2953.311728747392678575675862332538485112) }}, 
+      {{ SC_(-22.450725555419921875), SC_(1144.061952511390247866794452177364720154) }}, 
+      {{ SC_(-22.216400146484375), SC_(433.4964624209467744240111502742949136417) }}, 
+      {{ SC_(-22.117252349853515625), SC_(209.670669847220366780433535101515157212) }}, 
+      {{ SC_(-22.0920505523681640625), SC_(159.7249542805152560864294822534577696243) }}, 
+      {{ SC_(-22.0172443389892578125), SC_(27.28537205103064323405309172342888102988) }}, 
+      {{ SC_(-21.4432220458984375), SC_(-374.2415260535891625043607900493959621482) }}, 
+      {{ SC_(-21.4153881072998046875), SC_(-374.303271908688039818985907313585954208) }}, 
+      {{ SC_(-21.36655426025390625), SC_(-371.7545846369976735832217959234696992869) }}, 
+      {{ SC_(-21.1389904022216796875), SC_(-326.1669603491139591285009725186578239647) }}, 
+      {{ SC_(-20.792087554931640625), SC_(-206.625063426231189233571547577406886055) }}, 
+      {{ SC_(-20.7052173614501953125), SC_(-175.5791090488241874023715949426197745063) }}, 
+      {{ SC_(-20.64069366455078125), SC_(-153.3071708461727420185632819734936375388) }}, 
+      {{ SC_(-20.4468212127685546875), SC_(-92.67534368527936634847943709898214630585) }}, 
+      {{ SC_(-20.1869373321533203125), SC_(-30.43108614924854718139530495549243305713) }}, 
+      {{ SC_(-20.1699161529541015625), SC_(-27.17316397712932041916821790643340800192) }}, 
+      {{ SC_(-19.694103240966796875), SC_(27.1714136640721528789798045585951196151) }}, 
+      {{ SC_(-19.549198150634765625), SC_(32.29909704565499257138194367283757692887) }}, 
+      {{ SC_(-19.4480419158935546875), SC_(33.67605769729398309956337071678460455377) }}, 
+      {{ SC_(-19.1505031585693359375), SC_(30.51834489947975739023200586922515652717) }}, 
+      {{ SC_(-19.0985546112060546875), SC_(29.23410383834503370501000988892387173246) }}, 
+      {{ SC_(-19.064365386962890625), SC_(28.3146818846773107926880125501905809413) }}, 
+      {{ SC_(-18.95330047607421875), SC_(25.02711851332149330549031951636533097105) }}, 
+      {{ SC_(-18.7998867034912109375), SC_(20.07798417651821829598839554245992618286) }}, 
+      {{ SC_(-18.2061786651611328125), SC_(3.48259567016902798768190885417275768286) }}, 
+      {{ SC_(-18.171688079833984375), SC_(2.808091309863074171772985422170099249644) }}, 
+      {{ SC_(-17.99382781982421875), SC_(-0.08425805633923885570999830270532256204479) }}, 
+      {{ SC_(-17.9543361663818359375), SC_(-0.5968706969826661560508135615534999329391) }}, 
+      {{ SC_(-17.840961456298828125), SC_(-1.822852247678475212693660825685951918909) }}, 
+      {{ SC_(-17.83806610107421875), SC_(-1.849579792577253331534678618823864608689) }}, 
+      {{ SC_(-17.7578449249267578125), SC_(-2.504689097176022370085233310047718350241) }}, 
+      {{ SC_(-17.6391048431396484375), SC_(-3.193024470338536865812887315255732910235) }}, 
+      {{ SC_(-17.46953582763671875), SC_(-3.679429462928429733583422830868284984109) }}, 
+      {{ SC_(-17.329334259033203125), SC_(-3.730955850518545451525056518679296419855) }}, 
+      {{ SC_(-17.2073383331298828125), SC_(-3.582528563068304439407127816770249435282) }}, 
+      {{ SC_(-16.9253997802734375), SC_(-2.810296984266164459897058245930083917242) }}, 
+      {{ SC_(-16.915283203125), SC_(-2.77589555245432113406083575136508432266) }}, 
+      {{ SC_(-16.8818817138671875), SC_(-2.660508806128033733833130593715903076036) }}, 
+      {{ SC_(-16.3989238739013671875), SC_(-0.9776305321380423960622625495871224063825) }}, 
+      {{ SC_(-16.18682861328125), SC_(-0.3914840091082085155017628868619033070834) }}, 
+      {{ SC_(-15.86298274993896484375), SC_(0.2113095736867095471658768228963977110005) }}, 
+      {{ SC_(-15.8023357391357421875), SC_(0.2852756275882561377493711146849722900443) }}, 
+      {{ SC_(-15.44889068603515625), SC_(0.5095766448261500611629872324946933071932) }}, 
+      {{ SC_(-15.32804584503173828125), SC_(0.5204935020247384500134730244597097470842) }}, 
+      {{ SC_(-15.28248119354248046875), SC_(0.518000024039102855822688087754595443758) }}, 
+      {{ SC_(-14.95335483551025390625), SC_(0.4238642347557435114933888974408451377203) }}, 
+      {{ SC_(-14.88536357879638671875), SC_(0.3933692627692705652205577653029677414393) }}, 
+      {{ SC_(-14.81730365753173828125), SC_(0.3608573293373039084524243522210581723643) }}, 
+      {{ SC_(-14.79173946380615234375), SC_(0.3482722720977891877868480924645011434135) }}, 
+      {{ SC_(-14.5507144927978515625), SC_(0.2263366094050870980047656705259818867826) }}, 
+      {{ SC_(-14.38645648956298828125), SC_(0.147084896053585110709304360793633346003) }}, 
+      {{ SC_(-14.31533050537109375), SC_(0.1152816347651253287394552787556741727121) }}, 
+      {{ SC_(-13.65148448944091796875), SC_(-0.07251231425417656377649950152568494966249) }}, 
+      {{ SC_(-13.545276641845703125), SC_(-0.08375031877772358984694147296792966961615) }}, 
+      {{ SC_(-13.04667377471923828125), SC_(-0.08613748015144290972450792644674564697467) }}, 
+      {{ SC_(-13.03631877899169921875), SC_(-0.08554589764966609410422566041830102984647) }}, 
+      {{ SC_(-13.0361614227294921875), SC_(-0.08553676925262460195666037008963074921075) }}, 
+      {{ SC_(-12.95856761932373046875), SC_(-0.08056765309761383957595558846249995931279) }}, 
+      {{ SC_(-12.5917186737060546875), SC_(-0.04916757520124342761036750118646514054843) }}, 
+      {{ SC_(-12.39752960205078125), SC_(-0.03115114084163494465794707790061004080063) }}, 
+      {{ SC_(-12.36646747589111328125), SC_(-0.02836586465940004481089358385830546327083) }}, 
+      {{ SC_(-12.21360492706298828125), SC_(-0.01539036046556130908669688029744711232684) }}, 
+      {{ SC_(-11.99034214019775390625), SC_(0.0006069904308788892543024610864850846763506) }}, 
+      {{ SC_(-11.8568134307861328125), SC_(0.008147201960813915155871421057182351090437) }}, 
+      {{ SC_(-11.856700897216796875), SC_(0.008152875868653809905975061985964214000197) }}, 
+      {{ SC_(-11.62246036529541015625), SC_(0.01746194346204194142446845779680149340516) }}, 
+      {{ SC_(-11.5703887939453125), SC_(0.01886566756877059520362077789879963609155) }}, 
+      {{ SC_(-10.902614593505859375), SC_(0.0196626059012350652716117019088095189095) }}, 
+      {{ SC_(-10.39686298370361328125), SC_(0.008689980413332084843117426575282850372437) }}, 
+      {{ SC_(-10.16733551025390625), SC_(0.003416813948098911896742939961274332301015) }}, 
+      {{ SC_(-10.0372104644775390625), SC_(0.0007176193820913189364411980055213424358445) }}, 
+      {{ SC_(-9.9642963409423828125), SC_(-0.0006632811340011981503362639124151757266767) }}, 
+      {{ SC_(-9.6919612884521484375), SC_(-0.004807940796456133525623000987469972333747) }}, 
+      {{ SC_(-9.6801853179931640625), SC_(-0.004948106664919310929639531491612686942336) }}, 
+      {{ SC_(-9.672039031982421875), SC_(-0.005043104323545521915854009513305224121704) }}, 
+      {{ SC_(-9.42822933197021484375), SC_(-0.007140216297724451093935994631687254893686) }}, 
+      {{ SC_(-8.95921039581298828125), SC_(-0.007434519412310381781780546556040051757663) }}, 
+      {{ SC_(-8.9292163848876953125), SC_(-0.007313912761229121731761666014703562188579) }}, 
+      {{ SC_(-8.92558765411376953125), SC_(-0.00729839292833941319530973378448137863064) }}, 
+      {{ SC_(-8.87785434722900390625), SC_(-0.00707633883068269537335294544211513278741) }}, 
+      {{ SC_(-8.46031284332275390625), SC_(-0.004074256641827071875084784818914263298709) }}, 
+      {{ SC_(-8.447780609130859375), SC_(-0.003964973936847219963439195813913605287177) }}, 
+      {{ SC_(-8.32862186431884765625), SC_(-0.002903415969312147961289161209278260789382) }}, 
+      {{ SC_(-8.120998382568359375), SC_(-0.00103823391856569843811586237609042444109) }}, 
+      {{ SC_(-8.11257076263427734375), SC_(-0.0009641405242205096512409518786467984036622) }}, 
+      {{ SC_(-8.00969028472900390625), SC_(-0.8081897555380671288572993901221806428558e-4) }}, 
+      {{ SC_(-7.96818065643310546875), SC_(0.000261996231792748327532018167663538399616) }}, 
+      {{ SC_(-7.498992443084716796875), SC_(0.003273417189465077929314372888310860553978) }}, 
+      {{ SC_(-7.46440410614013671875), SC_(0.003417551297097495653085939986968115182729) }}, 
+      {{ SC_(-7.28324031829833984375), SC_(0.003973224858687943569640790429796668774442) }}, 
+      {{ SC_(-7.03993511199951171875), SC_(0.004188064885842535489566897798831477388136) }}, 
+      {{ SC_(-6.96289348602294921875), SC_(0.00413307218623721479271246253687857536289) }}, 
+      {{ SC_(-6.710720539093017578125), SC_(0.003579650425628445602269416395217624438872) }}, 
+      {{ SC_(-6.6343975067138671875), SC_(0.003311914606322736219077651823305971579526) }}, 
+      {{ SC_(-6.604713916778564453125), SC_(0.003196837407418412428928538915252495489608) }}, 
+      {{ SC_(-6.5267925262451171875), SC_(0.00286808681065953969739400100637205637184) }}, 
+      {{ SC_(-6.5100555419921875), SC_(0.002792769359155893317313951562112124642491) }}, 
+      {{ SC_(-6.38633251190185546875), SC_(0.002191129317123186105010600162934947438173) }}, 
+      {{ SC_(-6.323749542236328125), SC_(0.001861047805191740695151906651937619919389) }}, 
+      {{ SC_(-6.268978595733642578125), SC_(0.001560903697471362240875092595942452538086) }}, 
+      {{ SC_(-6.00856876373291015625), SC_(0.5056493923745302784537384920689241524123e-4) }}, 
+      {{ SC_(-5.854171276092529296875), SC_(-0.000850699827548195177814512570253393816845) }}, 
+      {{ SC_(-5.8458156585693359375), SC_(-0.0008984756388001563233098481127032455383618) }}, 
+      {{ SC_(-5.441573619842529296875), SC_(-0.002915026968595680785713416510699222417991) }}, 
+      {{ SC_(-5.398475170135498046875), SC_(-0.003081263239844393794556192268338493619238) }}, 
+      {{ SC_(-5.38677501678466796875), SC_(-0.003124321716617199710687253202017509643958) }}, 
+      {{ SC_(-5.348802089691162109375), SC_(-0.003257740949901305827723740216599368435532) }}, 
+      {{ SC_(-5.284323215484619140625), SC_(-0.003461160844402030020337003403034416960299) }}, 
+      {{ SC_(-5.26421260833740234375), SC_(-0.003518393964166156715278378770334015232501) }}, 
+      {{ SC_(-5.258718967437744140625), SC_(-0.003533499841767076804949459388722993177251) }}, 
+      {{ SC_(-5.19130611419677734375), SC_(-0.003699890777792053165830070855367893096293) }}, 
+      {{ SC_(-4.966538906097412109375), SC_(-0.003982393105088701410063296824875351251516) }}, 
+      {{ SC_(-4.946559429168701171875), SC_(-0.00398600239489331055969397480564266110296) }}, 
+      {{ SC_(-4.8982295989990234375), SC_(-0.003979612855119401843972374236087226591403) }}, 
+      {{ SC_(-4.757171154022216796875), SC_(-0.003836405057552962242456530288751158127348) }}, 
+      {{ SC_(-4.743566036224365234375), SC_(-0.003812665437930484329367028055222166144102) }}, 
+      {{ SC_(-4.553936004638671875), SC_(-0.003299286445112839390501564610822343063568) }}, 
+      {{ SC_(-4.54137516021728515625), SC_(-0.003253340207436420485572929378617465360415) }}, 
+      {{ SC_(-4.5209980010986328125), SC_(-0.003175691140094301576675103590991471527218) }}, 
+      {{ SC_(-4.4728069305419921875), SC_(-0.002976858185863617245397173014294301888612) }}, 
+      {{ SC_(-4.24431324005126953125), SC_(-0.00175551877458019938328423578132053906906) }}, 
+      {{ SC_(-4.114734649658203125), SC_(-0.0008756602845971692915754872652644095998698) }}, 
+      {{ SC_(-3.9377651214599609375), SC_(0.0005075394336783163996239897113119062326783) }}, 
+      {{ SC_(-3.69749927520751953125), SC_(0.002622130552658735330754289390878800389753) }}, 
+      {{ SC_(-3.676990985870361328125), SC_(0.002810112977938437719471179582479423269376) }}, 
+      {{ SC_(-2.9547061920166015625), SC_(0.00856184012269561519081119026118342931302) }}, 
+      {{ SC_(-2.8205192089080810546875), SC_(0.009037989206198579118042330714986772360851) }}, 
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